{"about":"Results, OpenAI papers, the works they cite and those works' authors, read from each paper's TeX reference list. Matching is approximate (DOI, arXiv ID or title; authors by surname and first initial). Built by tools/site/connections.py.","stats":{"results":372,"papers":719,"works":10986,"authors":9106,"references":17640,"median_references":21,"papers_citing_openai":335,"openai_links":509,"shared_works":3079,"openalex":{"openalex_works":8909,"title_joins":283,"name_joins":1306,"people_joined":1375}},"subjects":["Number theory","Algebraic and complex geometry","Real and complex analysis","Convex and metric geometry","Theoretical computer science","Dynamical systems and ergodic theory","Combinatorics","Algebra","Probability and statistical mechanics","Mathematical logic","Group theory","Mathematical physics","Operator algebras","Topology","Functional analysis","Differential geometry","Partial differential equations"],"nodes":[[0,0.007,-1.0,"006. Goldfeld’s conjecture: densities and mean analytic rank",0,"006-goldfelds-conjecture-densities-mean-analytic"],[1,0.0038,-0.935,"Goldfeld's analytic density conjecture and the 2-converse for elliptic curves",0,"https://github.com/openai/math/blob/main/preprints/Goldfelds-analytic-density-conjecture-and-the-2-converse-for-elliptic-curves-October-7-2026/paper.pdf"],[1,0.0092,-0.921,"The mean analytic rank of quadratic twists of elliptic curves",0,"https://github.com/openai/math/blob/main/preprints/The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-October-6-2026/paper.pdf"],[0,0.021,-0.9998,"004. Hilbert’s tenth problem over ℚ",0,"004-hilberts-tenth-problem-q"],[1,0.0169,-0.9348,"Hilbert’s tenth problem over the rational numbers",0,"https://github.com/openai/math/blob/main/preprints/Hilberts-tenth-problem-over-the-rational-numbers-October-6-2026/main.pdf"],[1,0.0221,-0.9207,"A pointwise 2-converse for elliptic curves with rational two-torsion",0,"https://github.com/openai/math/blob/main/preprints/A-pointwise-2-converse-for-elliptic-curves-with-rational-two-torsion-October-7-2026/paper.pdf"],[0,0.035,-0.9994,"002. The full BSD formula from low Selmer corank",0,"002-bsd-formula"],[1,0.0291,-0.9345,"Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank",0,"https://github.com/openai/math/blob/main/preprints/Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026/exact-bsd-low-selmer-corank.pdf"],[1,0.0323,-0.9204,"The Selmer converse for elliptic curves at every prime",0,"https://github.com/openai/math/blob/main/preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/main.pdf"],[1,0.0365,-0.9343,"The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one",0,"https://github.com/openai/math/blob/main/preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/paper.pdf"],[0,0.049,-0.9988,"010. Unrestricted pro-modularity at the prime two",0,"010-unrestricted-pro-modularity-prime-two"],[1,0.0421,-0.934,"Unrestricted pro-modularity at the prime two",0,"https://github.com/openai/math/blob/main/preprints/Unrestricted-pro-modularity-at-the-prime-two-October-6-2026/two-adic-promodularity.pdf"],[1,0.0452,-0.9199,"The Dimension of the Two-Adic Hecke Algebra at Odd Level",0,"https://github.com/openai/math/blob/main/preprints/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026/two-adic-hecke.pdf"],[1,0.0496,-0.9337,"Fontaine–Mazur modularity at the prime 2",0,"https://github.com/openai/math/blob/main/preprints/Fontaine-Mazur-modularity-at-the-prime-2-October-6-2026/paper.pdf"],[0,0.063,-0.998,"030. Modularity of elliptic curves over imaginary quadratic fields",0,"030-modularity-elliptic-curves-imaginary-quadratic"],[1,0.0589,-0.9331,"Modularity of elliptic curves over imaginary quadratic fields",0,"https://github.com/openai/math/blob/main/preprints/Modularity-of-elliptic-curves-over-imaginary-quadratic-fields-October-4-2026/paper.pdf"],[0,0.077,-0.997,"016. Zilber–Pink in abelian varieties and the Siegel threefold",0,"016-zilber-pink-abelian-varieties-siegel"],[1,0.0679,-0.9325,"The abelian Zilber–Pink conjecture",0,"https://github.com/openai/math/blob/main/preprints/The-Abelian-Zilber-Pink-Conjecture-September-24-2026/paper.pdf"],[1,0.0696,-0.9184,"The E×CM component of Zilber–Pink for curves in A2",0,"https://github.com/openai/math/blob/main/preprints/The-E-times-CM-Component-of-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf"],[1,0.0734,-0.9321,"Quaternionic division points on curves in the Siegel threefold",0,"https://github.com/openai/math/blob/main/preprints/Quaternionic-Division-Points-on-Curves-in-the-Siegel-Threefold-September-24-2026/paper.pdf"],[1,0.075,-0.9179,"Elliptic squares and Zilber–Pink for curves in A2",0,"https://github.com/openai/math/blob/main/preprints/Elliptic-Squares-and-Zilber-Pink-for-Curves-in-A2-September-24-2026/paper.pdf"],[0,0.091,-0.9959,"001. Milne’s rationality conjecture and algebraic specialization",0,"001-milne-rationality"],[1,0.0851,-0.9311,"Milne's rationality conjecture for abelian varieties",0,"https://github.com/openai/math/blob/main/preprints/Milnes-rationality-conjecture-for-abelian-varieties-October-7-2026/paper.pdf"],[0,0.1049,-0.9945,"020. Squarefree quartics and power-free polynomial values",0,"020-squarefree-quartics-power-free-polynomial"],[1,0.0981,-0.9298,"Squarefree values of quartics and power-free values of polynomials",0,"https://github.com/openai/math/blob/main/preprints/Squarefree-values-of-quartics-and-power-free-values-of-polynomials-September-24-2026/manuscript.pdf"],[0,0.1189,-0.9929,"027. Potential integral density on curve character varieties",0,"027-potential-integral-density-curve-character"],[1,0.1112,-0.9284,"Integral points on character varieties of curves",0,"https://github.com/openai/math/blob/main/preprints/Integral-points-on-character-varieties-of-curves-September-25-2026/paper.pdf"],[0,0.1328,-0.9911,"029. Primitive roots for every admissible integer base",0,"029-primitive-roots-every-admissible-integer"],[1,0.1214,-0.9271,"Primitive roots for every admissible integer base",0,"https://github.com/openai/math/blob/main/preprints/Primitive-roots-for-every-admissible-integer-base-October-4-2026/primitive-roots-all-integer-bases.pdf"],[1,0.125,-0.9125,"Simultaneous primitive roots: a conditional lower bound for prime bases",0,"https://github.com/openai/math/blob/main/preprints/Simultaneous-primitive-roots-a-conditional-lower-bound-for-prime-bases-October-4-2026/simultaneous-primitive-roots-conditional-lower-bound-prime-bases.pdf"],[0,0.1467,-0.9892,"003. The quasi-Riemann hypothesis",0,"003-quasi-riemann-hypothesis"],[1,0.1335,-0.9254,"The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane ℜs > 7/8",0,"https://github.com/openai/math/blob/main/preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf"],[1,0.1351,-0.911,"The Quasi-Riemann Hypothesis (alternate 11/12 proof)",0,"https://github.com/openai/math/blob/main/preprints/The-Quasi-Riemann-Hypothesis-October-5-2026/paper2.pdf"],[1,0.1408,-0.9243,"Uniform exclusion of Landau–Siegel zeros",0,"https://github.com/openai/math/blob/main/preprints/Uniform-exclusion-of-Landau-Siegel-zeros-October-1-2026/paper.pdf"],[0,0.1605,-0.987,"023. Patterson's first moment for cubic Gauss sums",0,"023-pattersons-first-moment-cubic-gauss"],[1,0.1501,-0.9229,"An unconditional first moment for cubic Gauss sums",0,"https://github.com/openai/math/blob/main/preprints/An-unconditional-first-moment-for-cubic-Gauss-sums-September-25-2026/paper.pdf"],[0,0.1743,-0.9847,"021. A quadratic bound for Jacobsthal’s function",0,"021-quadratic-bound-jacobsthals-function"],[1,0.163,-0.9207,"A quadratic bound for Jacobsthal's function",0,"https://github.com/openai/math/blob/main/preprints/A-quadratic-bound-for-Jacobsthals-function-September-25-2026/paper.pdf"],[0,0.1881,-0.9821,"013. Ostmann’s inverse Goldbach conjecture",0,"013-ostmanns-inverse-goldbach-conjecture"],[1,0.1759,-0.9183,"The additive indecomposability of the primes",0,"https://github.com/openai/math/blob/main/preprints/the-additive-indecomposability-of-the-primes-September-24-2026/paper.pdf"],[0,0.2019,-0.9794,"026. Positive lower density of large prime gaps",0,"026-positive-lower-density-large-prime"],[1,0.1888,-0.9157,"Positive lower density of large prime gaps",0,"https://github.com/openai/math/blob/main/preprints/Positive-lower-density-of-large-prime-gaps-September-25-2026/main.pdf"],[0,0.2156,-0.9765,"015. Torus-packet equidistribution in prime, quartic, and sextic degrees",0,"015-torus-packet-equidistribution-prime-quartic"],[1,0.1979,-0.9138,"Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type",0,"https://github.com/openai/math/blob/main/preprints/Equidistribution-of-Prime-Degree-Torus-Packets-with-Arbitrary-Local-Type-September-24-2026/paper.pdf"],[1,0.1986,-0.8993,"Equidistribution of primitive quartic torus packets for arbitrary orders",0,"https://github.com/openai/math/blob/main/preprints/Equidistribution-of-Primitive-Quartic-Torus-Packets-for-Arbitrary-Orders-October-5-2026/quartic-torus-packets.pdf"],[1,0.2052,-0.9122,"Equidistribution of Primitive Sextic Torus Packets",0,"https://github.com/openai/math/blob/main/preprints/Equidistribution-of-Primitive-Sextic-Torus-Packets-October-5-2026/primitive-sextic-torus-packets.pdf"],[0,0.2293,-0.9734,"028. Uniformly bounded components of Gaussian-prime graphs",0,"028-uniformly-bounded-components-gaussian-prime"],[1,0.2144,-0.9101,"Bounded-Step Walks on Gaussian Primes",0,"https://github.com/openai/math/blob/main/preprints/Bounded-Step-Walks-on-Gaussian-Primes-September-26-2026/paper.pdf"],[0,0.2429,-0.9701,"007. Ordinary two-point correlations and the corrected Elliott conjecture",0,"007-ordinary-two-point-correlations-corrected"],[1,0.2271,-0.907,"Ordinary two-point correlations of multiplicative functions",0,"https://github.com/openai/math/blob/main/preprints/Ordinary-two-point-correlations-of-multiplicative-functions-September-24-2026/final.pdf"],[0,0.2565,-0.9666,"012. Independent largest prime factors of consecutive integers",0,"012-independent-largest-prime-factors-consecutive"],[1,0.2398,-0.9037,"The joint Dickman law for consecutive integers",0,"https://github.com/openai/math/blob/main/preprints/The-joint-Dickman-law-for-consecutive-integers-September-24-2026/paper.pdf"],[0,0.27,-0.9629,"011. Prime-factor statistics of p-1",0,"011-prime-factor-statistics"],[1,0.2489,-0.9013,"Weighted dilation graphs, smooth shifted primes and totient fibers",0,"https://github.com/openai/math/blob/main/preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf"],[1,0.2486,-0.8868,"The Poisson-Dirichlet law for prime predecessors",0,"https://github.com/openai/math/blob/main/preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf"],[1,0.256,-0.8993,"Prime Predecessors with an Even Number of Prime Factors",0,"https://github.com/openai/math/blob/main/preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/paper.pdf"],[0,0.2834,-0.959,"024. An asymptotic formula for the number of totients",0,"024-asymptotic-formula-number-totients"],[1,0.265,-0.8967,"An asymptotic formula for the number of totients",0,"https://github.com/openai/math/blob/main/preprints/An-asymptotic-formula-for-the-number-of-totients-September-25-2026/An-asymptotic-formula-for-the-number-of-totients-September-25-2026.pdf"],[0,0.2969,-0.9549,"005. Irrationality of Catalan’s constant",0,"005-irrationality-catalans-constant"],[1,0.2776,-0.8928,"Catalan's constant is irrational",0,"https://github.com/openai/math/blob/main/preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf"],[0,0.3102,-0.9507,"008. The Deligne–Drinfeld conjecture",0,"008-deligne-drinfeld-conjecture"],[1,0.2901,-0.8889,"The Deligne-Drinfeld conjecture",0,"https://github.com/openai/math/blob/main/preprints/The-Deligne-Drinfeld-conjecture-September-23-2026/paper.pdf"],[0,0.3235,-0.9462,"009. Function-field reconstruction from Milnor K-theory and Galois data",0,"009-function-field-reconstruction-milnor-k"],[1,0.299,-0.8859,"Reconstruction of Function Fields from Mod-ℓ Milnor K-Theory",0,"https://github.com/openai/math/blob/main/preprints/Reconstruction-of-Function-Fields-from-Mod-ell-Milnor-K-Theory-October-5-2026/mod-ell-bogomolov-pop.pdf"],[1,0.298,-0.8715,"Reconstruction from Milnor K-theory modulo the characteristic",0,"https://github.com/openai/math/blob/main/preprints/Reconstruction-from-Milnor-K-theory-modulo-the-characteristic-October-5-2026/paper.pdf"],[1,0.306,-0.8835,"The Bogomolov-Pop reconstruction theorem",0,"https://github.com/openai/math/blob/main/preprints/The-Bogomolov-Pop-reconstruction-theorem-September-23-2026/paper.pdf"],[0,0.3368,-0.9416,"017. The irrationality exponent of π is 2",0,"017-irrationality-exponent-pi-2"],[1,0.3149,-0.8804,"The irrationality exponent of pi is 2",0,"https://github.com/openai/math/blob/main/preprints/The-irrationality-exponent-of-pi-is-2-September-24-2026/paper.pdf"],[0,0.3499,-0.9368,"019. The local p-adic section conjecture and global consequences",0,"019-local-p-adic-section-conjecture"],[1,0.3246,-0.8769,"Étale covers with a prescribed exterior sheet",0,"https://github.com/openai/math/blob/main/preprints/Etale-covers-with-a-prescribed-exterior-sheet-September-24-2026/main.pdf"],[1,0.3248,-0.8618,"The p-adic section conjecture",0,"https://github.com/openai/math/blob/main/preprints/The-p-adic-section-conjecture-October-6-2026/main.pdf"],[0,0.363,-0.9318,"014. Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan",0,"014-restricted-geometric-langlands-global-arthur"],[1,0.3349,-0.873,"Global Arthur Enhancements of Cuspidal Excursion Parameters",0,"https://github.com/openai/math/blob/main/preprints/Global-Arthur-Enhancements-of-Cuspidal-Excursion-Parameters-October-5-2026/manuscript.pdf"],[1,0.3311,-0.8594,"Rationality of the Canonical Unramified Arthur Filtration",0,"https://github.com/openai/math/blob/main/preprints/Rationality-of-the-Canonical-Unramified-Arthur-Filtration-September-24-2026/paper.pdf"],[1,0.3375,-0.872,"Ramanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level",0,"https://github.com/openai/math/blob/main/preprints/Ramanujan-Arthur-Decompositions-of-Cuspidal-Functions-at-Full-Finite-Level-September-24-2026/paper.pdf"],[1,0.3337,-0.8584,"Temperedness at ramified places for globally generic exceptional groups",0,"https://github.com/openai/math/blob/main/preprints/Temperedness-at-ramified-places-for-globally-generic-exceptional-groups-October-5-2026/ramified-ramanujan.pdf"],[1,0.3401,-0.871,"The Restricted Geometric Langlands Equivalence in Positive Characteristic",0,"https://github.com/openai/math/blob/main/preprints/The-Restricted-Geometric-Langlands-Equivalence-in-Positive-Characteristic-September-24-2026/paper.pdf"],[1,0.3363,-0.8574,"Constructible tame Hecke eigensheaves in positive characteristic",0,"https://github.com/openai/math/blob/main/preprints/Constructible-tame-Hecke-eigensheaves-in-positive-characteristic-October-5-2026/constructible-tame-hecke-eigensheaves-positive-characteristic.pdf"],[1,0.3427,-0.8699,"Tame Hecke Eigensheaves with Several Marked Points",0,"https://github.com/openai/math/blob/main/preprints/Tame-Hecke-Eigensheaves-with-Several-Marked-Points-October-5-2026/Tame-Hecke-Eigensheaves-with-Several-Marked-Points.pdf"],[1,0.3388,-0.8564,"Frobenius Structures on Tame Hecke Eigensheaves",0,"https://github.com/openai/math/blob/main/preprints/Frobenius-Structures-on-Tame-Hecke-Eigensheaves-October-5-2026/tame-hecke-frobenius.pdf"],[0,0.376,-0.9266,"018. The Margulis–Platonov conjecture over global fields",0,"018-margulis-platonov-conjecture-global-fields"],[1,0.349,-0.8674,"The Margulis–Platonov conjecture over global function fields",0,"https://github.com/openai/math/blob/main/preprints/The-Margulis-Platonov-conjecture-over-global-function-fields-October-5-2026/margulis-platonov-global-function-fields.pdf"],[1,0.3489,-0.8524,"The Margulis–Platonov conjecture over number fields",0,"https://github.com/openai/math/blob/main/preprints/The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026/paper.pdf"],[0,0.389,-0.9212,"031. Uchida’s conjecture for open homomorphisms of Galois groups",0,"031-uchidas-conjecture-open-homomorphisms-galois"],[1,0.3637,-0.8614,"Open Homomorphisms of Global Solvably Closed Galois Groups",0,"https://github.com/openai/math/blob/main/preprints/Open-Homomorphisms-of-Global-Solvably-Closed-Galois-Groups-October-5-2026/open-homomorphisms-solvably-closed-galois-groups.pdf"],[0,0.4019,-0.9157,"022. The weak inhomogeneous Duffin–Schaeffer conjecture",0,"022-weak-inhomogeneous-duffin-schaeffer-conjecture"],[1,0.3757,-0.8562,"The Weak Inhomogeneous Duffin–Schaeffer Conjecture",0,"https://github.com/openai/math/blob/main/preprints/The-weak-inhomogeneous-Duffin-Schaeffer-conjecture-September-25-2026/paper.pdf"],[0,0.4147,-0.91,"025. Short Egyptian fractions",0,"025-short-egyptian-fractions"],[1,0.3877,-0.8508,"Short Egyptian fractions",0,"https://github.com/openai/math/blob/main/preprints/Short-Egyptian-fractions-September-25-2026/Short-Egyptian-fractions-September-25-2026.pdf"],[0,0.4833,-0.8755,"034. Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity",1,"034-log-abundance-compact-kahler-spaces"],[1,0.4474,-0.821,"Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity",1,"https://github.com/openai/math/blob/main/preprints/Log-abundance-for-compact-Kahler-spaces-under-logarithmic-Iitaka-subadditivity-October-6-2026/main.pdf"],[1,0.4413,-0.8084,"Uniform indices for semi-log-canonical log Calabi–Yau pairs",1,"https://github.com/openai/math/blob/main/preprints/Uniform-indices-for-semi-log-canonical-log-Calabi-Yau-pairs-October-5-2026/uniform-slc-index.pdf"],[1,0.4488,-0.8203,"Conditional good minimal models for compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-6-2026/paper.pdf"],[1,0.4427,-0.8076,"Log abundance in characteristic zero",1,"https://github.com/openai/math/blob/main/preprints/Log-abundance-in-characteristic-zero-September-24-2026/paper.pdf"],[1,0.4501,-0.8195,"Minimal metrics and interior injectivity for nef adjoints",1,"https://github.com/openai/math/blob/main/preprints/Minimal-metrics-and-interior-injectivity-for-nef-adjoints-September-27-2026/paper.pdf"],[1,0.4441,-0.8069,"Fourfold nonvanishing by minimal metrics and moving jets",1,"https://github.com/openai/math/blob/main/preprints/Fourfold-nonvanishing-by-minimal-metrics-and-moving-jets-September-27-2026/paper.pdf"],[1,0.4515,-0.8187,"Lifting sections from the reduced support of an adjoint",1,"https://github.com/openai/math/blob/main/preprints/Lifting-sections-from-the-reduced-support-of-an-adjoint-September-27-2026/paper.pdf"],[1,0.4455,-0.8061,"Schnell fiber spaces and good canonical models",1,"https://github.com/openai/math/blob/main/preprints/Schnell-fiber-spaces-and-good-canonical-models-September-24-2026/paper.pdf"],[1,0.4529,-0.818,"Uniform log Iitaka fibrations and bounded moduli denominators",1,"https://github.com/openai/math/blob/main/preprints/Uniform-log-Iitaka-fibrations-and-bounded-moduli-denominators-October-4-2026/uniform-log-iitaka.pdf"],[1,0.4468,-0.8053,"Uniform Pluricanonical Iitaka Fibrations",1,"https://github.com/openai/math/blob/main/preprints/Uniform-Pluricanonical-Iitaka-Fibrations-October-3-2026/paper.pdf"],[1,0.4543,-0.8172,"Relative denominators and effective systems for log Calabi-Yau fibrations",1,"https://github.com/openai/math/blob/main/preprints/Relative-denominators-and-effective-systems-for-log-Calabi-Yau-fibrations-September-27-2026/paper.pdf"],[1,0.4482,-0.8046,"Arithmetic Stein-degree bounds for log Calabi–Yau pairs",1,"https://github.com/openai/math/blob/main/preprints/Arithmetic-Stein-degree-bounds-for-log-Calabi-Yau-pairs-September-25-2026/paper.pdf"],[1,0.4557,-0.8164,"Uniform effective log Iitaka fibrations for fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Uniform-effective-log-Iitaka-fibrations-for-fourfolds-September-26-2026/paper.pdf"],[1,0.4496,-0.8038,"Abundance after nonvanishing for compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026/paper.pdf"],[0,0.4955,-0.8686,"036. Numerical semiampleness and generalized minimal models",1,"036-numerical-semiampleness-generalized-minimal-models"],[1,0.4597,-0.8142,"Numerical semiampleness of nef adjoint classes on compact Kähler manifolds",1,"https://github.com/openai/math/blob/main/preprints/Numerical-semiampleness-of-nef-adjoint-classes-on-compact-Kahler-manifolds-October-6-2026/numerical-generalized-abundance.pdf"],[1,0.4552,-0.8006,"Numerical Semiampleness of Nef Adjoint Divisors",1,"https://github.com/openai/math/blob/main/preprints/Numerical-Semiampleness-of-Nef-Adjoint-Divisors-October-3-2026/paper.pdf"],[1,0.4645,-0.8114,"Minimal models and Mori fibre spaces for generalized log canonical Q-pairs",1,"https://github.com/openai/math/blob/main/preprints/Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026/paper.pdf"],[1,0.46,-0.7979,"Minimal models in numerical dimension one",1,"https://github.com/openai/math/blob/main/preprints/Minimal-models-in-numerical-dimension-one-September-24-2026/paper.pdf"],[0,0.5077,-0.8616,"066. Bounded klt complements for Fano contractions",1,"066-bounded-klt-complements-fano-contractions"],[1,0.4723,-0.807,"Bounded klt complements for Fano contractions",1,"https://github.com/openai/math/blob/main/preprints/Bounded-klt-complements-for-Fano-contractions-September-25-2026/Bounded-klt-complements-for-Fano-contractions-September-25-2026.pdf"],[1,0.4699,-0.7921,"Uniform Cartier sections for Fano type contractions",1,"https://github.com/openai/math/blob/main/preprints/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026/Uniform-Cartier-sections-for-Fano-type-contractions-September-25-2026.pdf"],[0,0.5197,-0.8544,"037. The ordinary-double-point volume gap",1,"037-ordinary-double-point-volume-gap"],[1,0.4835,-0.8003,"The ordinary-double-point gap in every dimension",1,"https://github.com/openai/math/blob/main/preprints/The-ordinary-double-point-gap-in-every-dimension-September-24-2026/paper.pdf"],[1,0.481,-0.7854,"The normalized-volume gap in dimension four",1,"https://github.com/openai/math/blob/main/preprints/The-normalized-volume-gap-in-dimension-four-September-24-2026/paper.pdf"],[0,0.5316,-0.847,"038. Fujita’s freeness conjecture",1,"038-fujitas-freeness-conjecture"],[1,0.4971,-0.7919,"Fujita's freeness conjecture",1,"https://github.com/openai/math/blob/main/preprints/Fujitas-freeness-conjecture-September-23-2026/Fujitas-freeness-conjecture-September-23-2026.pdf"],[0,0.5434,-0.8395,"039. Nagata’s conjecture and maximal Seshadri constants",1,"039-nagatas-conjecture-maximal-seshadri-constants"],[1,0.5046,-0.7871,"Nagata's conjecture for plane curves",1,"https://github.com/openai/math/blob/main/preprints/Nagatas-Conjecture-for-Plane-Curves-September-23-2026/main.pdf"],[1,0.4994,-0.7739,"Maximal Seshadri constants on arbitrary polarized surfaces",1,"https://github.com/openai/math/blob/main/preprints/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026/main.pdf"],[1,0.5093,-0.7841,"Maximal Multipoint Seshadri Constants in Higher Dimensions",1,"https://github.com/openai/math/blob/main/preprints/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026/main.pdf"],[1,0.504,-0.7709,"Maximal multipoint Seshadri constants in positive characteristic",1,"https://github.com/openai/math/blob/main/preprints/Maximal-multipoint-Seshadri-constants-in-positive-characteristic-October-5-2026/seshadri-positive-characteristic.pdf"],[0,0.5551,-0.8318,"047. Zariski cancellation and affine fibrations over the complex numbers",1,"047-zariski-cancellation-affine-fibrations-complex"],[1,0.5191,-0.7777,"An explicit failure of complex affine-space cancellation",1,"https://github.com/openai/math/blob/main/preprints/An-explicit-failure-of-complex-affine-space-cancellation-September-23-2026/paper.pdf"],[0,0.5668,-0.8239,"049. A stable-coordinate counterexample in four variables",1,"049-stable-coordinate-counterexample-four-variables"],[1,0.5276,-0.7719,"A stable coordinate that is not a coordinate in four variables",1,"https://github.com/openai/math/blob/main/preprints/A-stable-coordinate-that-is-not-a-coordinate-in-four-variables-October-5-2026/stable-coordinate-four-variables.pdf"],[1,0.5242,-0.7572,"An explicit noncoordinate polynomial with affine three-space zero fibre",1,"https://github.com/openai/math/blob/main/preprints/An-explicit-noncoordinate-polynomial-with-affine-three-space-zero-fibre-September-24-2026/paper.pdf"],[0,0.5782,-0.8159,"032. The rational Hodge conjecture for CM abelian varieties",1,"032-rational-hodge-conjecture-cm-abelian"],[1,0.537,-0.7654,"The rational Hodge conjecture for CM abelian varieties",1,"https://github.com/openai/math/blob/main/preprints/The-rational-Hodge-conjecture-for-CM-abelian-varieties-October-6-2026/paper.pdf"],[1,0.5308,-0.7527,"Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus",1,"https://github.com/openai/math/blob/main/preprints/Algebraic-Kuga-Satake-correspondences-and-Hodge-conjectures-on-a-K3-quadratic-locus-September-30-2026/paper.pdf"],[1,0.5407,-0.7628,"Weil classes and Hodge classes on abelian powers",1,"https://github.com/openai/math/blob/main/preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026/paper.pdf"],[1,0.5344,-0.7501,"Abelian covers, Gale correspondences, and the Hodge conjecture for powers",1,"https://github.com/openai/math/blob/main/preprints/Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026/paper.pdf"],[1,0.5443,-0.7602,"A Conditional Reduction for Algebraic Kuga–Satake Correspondences",1,"https://github.com/openai/math/blob/main/preprints/A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026/paper.pdf"],[0,0.5896,-0.8077,"053. A counterexample to Pixton completeness in Chow",1,"053-counterexample-pixton-completeness-chow"],[1,0.5513,-0.7552,"A high-arity counterexample to Pixton completeness in Chow",1,"https://github.com/openai/math/blob/main/preprints/A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026/paper.pdf"],[0,0.6009,-0.7993,"040. Bloch’s conjecture for complex surfaces",1,"040-blochs-conjecture-complex-surfaces"],[1,0.5618,-0.7474,"Bloch’s conjecture for surfaces with p_g=0",1,"https://github.com/openai/math/blob/main/preprints/Blochs-Conjecture-for-Surfaces-with-pg-equals-q-equals-0-September-24-2026/paper.pdf"],[0,0.612,-0.7908,"055. Gepner symmetry and large-volume stability on threefolds",1,"055-gepner-symmetry-large-volume-stability"],[1,0.5701,-0.7411,"A Gepner stability condition on every smooth quintic threefold",1,"https://github.com/openai/math/blob/main/preprints/A-Gepner-stability-condition-on-every-smooth-quintic-threefold-September-24-2026/paper.pdf"],[1,0.5659,-0.7267,"Prescribed large-volume charges on threefolds with trivial canonical bundle",1,"https://github.com/openai/math/blob/main/preprints/Prescribed-large-volume-charges-on-threefolds-with-trivial-canonical-bundle-September-24-2026/paper.pdf"],[0,0.6231,-0.7822,"035. Log-canonical threefold abundance in numerical dimension one",1,"035-log-canonical-threefold-abundance-numerical"],[1,0.5804,-0.7331,"Log abundance in numerical dimension one for threefolds in positive characteristic",1,"https://github.com/openai/math/blob/main/preprints/Log-abundance-in-numerical-dimension-one-for-threefolds-in-positive-characteristic-October-5-2026/paper.pdf"],[1,0.576,-0.7187,"Abundance in numerical dimension one for terminal threefolds in positive characteristic",1,"https://github.com/openai/math/blob/main/preprints/Abundance-in-numerical-dimension-one-for-terminal-threefolds-in-positive-characteristic-September-24-2026/paper.pdf"],[0,0.634,-0.7734,"048. A characteristic-zero counterexample to Lipman–Zariski",1,"048-characteristic-zero-counterexample-lipman-zariski"],[1,0.5928,-0.7231,"A singular normal affine surface with free tangent sheaf",1,"https://github.com/openai/math/blob/main/preprints/A-singular-normal-affine-surface-with-free-tangent-sheaf-September-23-2026/paper.pdf"],[0,0.6447,-0.7644,"058. Semialgebraic universal covers and bounded domains",1,"058-semialgebraic-universal-covers-bounded-domains"],[1,0.6007,-0.7165,"Semialgebraic universal covers of normal projective varieties",1,"https://github.com/openai/math/blob/main/preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026/paper.pdf"],[1,0.5959,-0.7022,"Symmetry of semialgebraic bounded domains with compact quotient",1,"https://github.com/openai/math/blob/main/preprints/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026/paper.pdf"],[0,0.6554,-0.7553,"033. Iitaka subadditivity, variation, and logarithmic additivity",1,"033-iitaka-subadditivity-variation-logarithmic-additivity"],[1,0.6094,-0.7091,"Orbifold and logarithmic Iitaka subadditivity",1,"https://github.com/openai/math/blob/main/preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf"],[1,0.602,-0.6971,"Logarithmic Kodaira dimension and whole-fiber variation",1,"https://github.com/openai/math/blob/main/preprints/Logarithmic-Kodaira-dimension-and-whole-fiber-variation-September-26-2026/paper.pdf"],[1,0.6128,-0.7062,"The reverse logarithmic Kodaira inequality and additivity",1,"https://github.com/openai/math/blob/main/preprints/The-reverse-logarithmic-Kodaira-inequality-and-additivity-September-26-2026/paper.pdf"],[1,0.6053,-0.6942,"Projective Hodge lines and ordinary Iitaka subadditivity",1,"https://github.com/openai/math/blob/main/preprints/Projective-Hodge-lines-and-ordinary-Iitaka-subadditivity-September-27-2026/paper.pdf"],[1,0.6162,-0.7033,"B-semiampleness for compact log-smooth Kähler fibrations",1,"https://github.com/openai/math/blob/main/preprints/B-semiampleness-for-compact-log-smooth-Kahler-fibrations-September-10-2026/paper.pdf"],[0,0.6659,-0.746,"068. Anticanonical nonvanishing in every dimension",1,"068-anticanonical-nonvanishing-every-dimension"],[1,0.6191,-0.7007,"Anticanonical nonvanishing from smooth semipositivity",1,"https://github.com/openai/math/blob/main/preprints/Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026/main.pdf"],[1,0.611,-0.6892,"Invariant anticanonical indices and conversion of twisted differentials",1,"https://github.com/openai/math/blob/main/preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026/main.pdf"],[1,0.6215,-0.6986,"Bounded anticanonical metrics on klt pairs and torus quotients",1,"https://github.com/openai/math/blob/main/preprints/Bounded-anticanonical-metrics-on-klt-pairs-and-torus-quotients-September-26-2026/main.pdf"],[1,0.6133,-0.6871,"Cohomological transfer and equivariant anticanonical sections",1,"https://github.com/openai/math/blob/main/preprints/Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026/main.pdf"],[1,0.6238,-0.6965,"Metric descent and rank-preserving contractions",1,"https://github.com/openai/math/blob/main/preprints/Metric-descent-and-rank-preserving-contractions-September-26-2026/main.pdf"],[1,0.6157,-0.685,"Integrable metrics and effectivity with controlled boundary",1,"https://github.com/openai/math/blob/main/preprints/Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026/main.pdf"],[1,0.6262,-0.6943,"Exact orders and invariant anticanonical linear systems",1,"https://github.com/openai/math/blob/main/preprints/Exact-orders-and-invariant-anticanonical-linear-systems-September-26-2026/main.pdf"],[0,0.6763,-0.7366,"050. A counterexample to Griffiths’ positivity conjecture",1,"050-counterexample-griffiths-positivity-conjecture"],[1,0.6324,-0.6887,"Ample rank-two bundles on the quadric surface without Griffiths-positive metrics",1,"https://github.com/openai/math/blob/main/preprints/ample-rank-two-bundles-on-the-quadric-surface-without-griffiths-positive-metrics-September-24-2026/paper.pdf"],[0,0.6866,-0.7271,"057. Fundamental groups of special complex varieties and root orbifolds",1,"057-fundamental-groups-special-complex-varieties"],[1,0.6392,-0.6823,"The abelianity conjecture for special compact Kähler manifolds",1,"https://github.com/openai/math/blob/main/preprints/The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026/paper.pdf"],[1,0.6323,-0.6696,"Two-step monodromy of special quasi-projective varieties",1,"https://github.com/openai/math/blob/main/preprints/Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026/paper.pdf"],[1,0.6446,-0.6772,"A conditional abelianity theorem for special fourfold pairs with a half-weight divisor",1,"https://github.com/openai/math/blob/main/preprints/A-conditional-abelianity-theorem-for-special-fourfold-pairs-with-a-half-weight-divisor-October-5-2026/main.pdf"],[0,0.6967,-0.7174,"056. Termination of projective and Kähler fourfold minimal model programs",1,"056-termination-projective-kahler-fourfold-minimal"],[1,0.6482,-0.6738,"Termination of generalized log canonical flips on compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Termination-of-generalized-log-canonical-flips-on-compact-Kahler-fourfolds-October-7-2026/termination-generalized-lc-kahler-fourfolds.pdf"],[1,0.6401,-0.6622,"Termination of generalized-canonical flips on compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Termination-of-generalized-canonical-flips-on-compact-Kahler-fourfolds-October-6-2026/termination-generalized-terminal-flips-compact-kahler-fourfolds.pdf"],[1,0.6514,-0.6707,"Termination for projective log canonical fourfolds with rational boundary",1,"https://github.com/openai/math/blob/main/preprints/Termination-for-projective-log-canonical-fourfolds-with-rational-boundary-September-24-2026/paper.pdf"],[1,0.6432,-0.6592,"Finite ordinary minimal model programs on compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-6-2026/paper.pdf"],[1,0.6546,-0.6676,"Finite ordinary minimal model programs on compact Kähler fourfolds",1,"https://github.com/openai/math/blob/main/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-September-24-2026/paper.pdf"],[0,0.7067,-0.7075,"043. P = W for fixed-determinant SLₙ moduli spaces",1,"043-p-w-fixed-determinant-sln"],[1,0.6608,-0.6615,"P=W in composite rank for fixed determinant",1,"https://github.com/openai/math/blob/main/preprints/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026/P-equals-W-in-composite-rank-for-fixed-determinant-September-24-2026.pdf"],[0,0.7165,-0.6975,"069. Global quantum geometric Langlands at irrational level",1,"069-global-quantum-geometric-langlands-irrational"],[1,0.67,-0.6522,"Global quantum geometric Langlands at irrational level",1,"https://github.com/openai/math/blob/main/preprints/Global-quantum-geometric-Langlands-at-irrational-level-October-4-2026/quantum-langlands.pdf"],[0,0.7262,-0.6874,"041. Hyperkähler SYZ and projective-space bases",1,"041-hyperkahler-syz-projective-space-bases"],[1,0.6771,-0.6448,"Projective-space bases of Lagrangian fibrations",1,"https://github.com/openai/math/blob/main/preprints/Projective-Space-Bases-of-Lagrangian-Fibrations-September-23-2026/main.pdf"],[1,0.6708,-0.6311,"The strong hyperkähler SYZ conjecture",1,"https://github.com/openai/math/blob/main/preprints/The-Strong-Hyperkahler-SYZ-Conjecture-September-23-2026/main.pdf"],[0,0.7358,-0.6772,"046. Shafarevich counterexamples in dimension two and with large fundamental group",1,"046-shafarevich-counterexamples-dimension-two-large"],[1,0.6861,-0.6352,"A projective fourfold with large fundamental group and non-Stein universal cover",1,"https://github.com/openai/math/blob/main/preprints/A-projective-fourfold-with-large-fundamental-group-and-non-Stein-universal-cover-October-5-2026/large-fundamental-group-non-stein.pdf"],[1,0.6795,-0.6217,"A surface counterexample to Shafarevich holomorphic convexity",1,"https://github.com/openai/math/blob/main/preprints/A-surface-counterexample-to-Shafarevich-holomorphic-convexity-September-23-2026/paper.pdf"],[0,0.7452,-0.6668,"064. Topological triviality of μ-constant surface singularities",1,"064-topological-triviality-mu-constant-surface"],[1,0.6968,-0.6235,"Topological triviality of mu-constant families of surface singularities",1,"https://github.com/openai/math/blob/main/preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026/main.pdf"],[0,0.7545,-0.6563,"059. Counterexamples to Zariski’s multiplicity conjecture",1,"059-counterexamples-zariskis-multiplicity-conjecture"],[1,0.7036,-0.6157,"Ambiently homeomorphic isolated hypersurfaces of multiplicities two and three",1,"https://github.com/openai/math/blob/main/preprints/Ambiently-homeomorphic-isolated-hypersurfaces-of-multiplicities-two-and-three-September-24-2026/paper.pdf"],[1,0.6967,-0.6024,"Ambiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five",1,"https://github.com/openai/math/blob/main/preprints/Ambiently-homeomorphic-isolated-hypersurface-germs-in-C4-with-multiplicities-four-and-five-September-27-2026/paper.pdf"],[0,0.7636,-0.6457,"062. Projective contact classification and the LeBrun–Salamon conjecture",1,"062-projective-contact-classification-lebrun-salamon"],[1,0.714,-0.6037,"Contact Fano manifolds and the LeBrun–Salamon conjecture",1,"https://github.com/openai/math/blob/main/preprints/Contact-Fano-manifolds-and-the-LeBrun-Salamon-conjecture-September-23-2026/paper.pdf"],[0,0.7726,-0.6349,"067. The Campana–Peternell conjecture in dimension six",1,"067-campana-peternell-conjecture-dimension-six"],[1,0.7224,-0.5936,"The Campana–Peternell conjecture in dimension six",1,"https://github.com/openai/math/blob/main/preprints/The-Campana-Peternell-conjecture-in-dimension-six-September-25-2026/main.pdf"],[0,0.7814,-0.624,"054. Irrational cubic fourfolds with Hodge-theoretic and categorical K3 associations",1,"054-irrational-cubic-fourfolds-hodge-theoretic"],[1,0.7306,-0.5834,"Irrational cubic fourfolds with geometric K3 categories",1,"https://github.com/openai/math/blob/main/preprints/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026/Irrational-cubic-fourfolds-with-geometric-K3-categories-September-24-2026.pdf"],[0,0.7901,-0.613,"065. Virasoro constraints for complete intersections and projective-bundle towers",1,"065-virasoro-constraints-complete-intersections-projective"],[1,0.737,-0.5753,"Virasoro Constraints under Projectivization",1,"https://github.com/openai/math/blob/main/preprints/Virasoro-Constraints-under-Projectivization-October-5-2026/virasoro-constraints-under-projectivization.pdf"],[1,0.7294,-0.5624,"Virasoro Constraints for Projective Complete Intersections",1,"https://github.com/openai/math/blob/main/preprints/Virasoro-Constraints-for-Projective-Complete-Intersections-September-24-2026/article.pdf"],[0,0.7986,-0.6018,"063. The generalized Mukai conjecture",1,"063-generalized-mukai-conjecture"],[1,0.7467,-0.5627,"The generalized Mukai conjecture",1,"https://github.com/openai/math/blob/main/preprints/The-Generalized-Mukai-Conjecture-September-24-2026/article.pdf"],[0,0.807,-0.5906,"042. Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII",1,"042-oka-classification-minimal-compact-complex"],[1,0.7545,-0.5522,"Every complex K3 surface is Oka",1,"https://github.com/openai/math/blob/main/preprints/Every-complex-K3-surface-is-Oka-September-23-2026/paper.pdf"],[0,0.8152,-0.5792,"044. The equivariant cohomological Hikita conjecture",1,"044-equivariant-cohomological-hikita-conjecture"],[1,0.7622,-0.5416,"The equivariant cohomological Hikita conjecture for arbitrary quivers",1,"https://github.com/openai/math/blob/main/preprints/The-equivariant-cohomological-Hikita-conjecture-for-arbitrary-quivers-September-24-2026/main.pdf"],[0,0.8232,-0.5677,"051. Kobayashi’s canonical-ampleness conjecture",1,"051-kobayashis-canonical-ampleness-conjecture"],[1,0.7697,-0.5308,"Canonical ampleness of compact hyperbolic Kähler manifolds",1,"https://github.com/openai/math/blob/main/preprints/Canonical-ampleness-of-compact-hyperbolic-Kahler-manifolds-September-23-2026/canonical-ampleness.pdf"],[0,0.8311,-0.5561,"052. Tangent splittings and product decompositions",1,"052-tangent-splittings-product-decompositions"],[1,0.7755,-0.5223,"Universal-cover splitting for compact Kähler manifolds",1,"https://github.com/openai/math/blob/main/preprints/Universal-cover-splitting-for-compact-Kahler-manifolds-September-23-2026/paper.pdf"],[1,0.767,-0.5099,"Integrability of split tangent bundles on rationally connected manifolds",1,"https://github.com/openai/math/blob/main/preprints/Integrability-of-split-tangent-bundles-on-rationally-connected-manifolds-September-23-2026/main.pdf"],[0,0.8388,-0.5444,"060. The Global Spherical Shell conjecture",1,"060-global-spherical-shell-conjecture"],[1,0.7843,-0.509,"Global Spherical Shells on Minimal Surfaces of Class VII",1,"https://github.com/openai/math/blob/main/preprints/Global-Spherical-Shells-on-Minimal-Surfaces-of-Class-VII-September-24-2026/paper.pdf"],[0,0.8781,-0.4784,"077. Fourier restriction for positively curved surfaces",2,"077-fourier-restriction-positively-curved-surfaces"],[1,0.8197,-0.4498,"Elliptic capacity propagation and Fourier restriction to the sphere",2,"https://github.com/openai/math/blob/main/preprints/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026/Elliptic-capacity-propagation-and-Fourier-restriction-to-the-sphere-September-24-2026.pdf"],[1,0.8101,-0.4382,"Diagonal Fourier extension for positively curved surfaces in three dimensions",2,"https://github.com/openai/math/blob/main/preprints/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026/Diagonal-Fourier-extension-for-positively-curved-surfaces-in-three-dimensions-September-24-2026.pdf"],[0,0.8848,-0.4661,"078. The three-dimensional Bochner–Riesz conjecture",2,"078-three-dimensional-bochner-riesz-conjecture"],[1,0.8272,-0.4358,"Bochner–Riesz multipliers in three dimensions",2,"https://github.com/openai/math/blob/main/preprints/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026.pdf"],[0,0.8912,-0.4536,"074. Kakeya in three and four dimensions",2,"074-kakeya-three-four-dimensions"],[1,0.832,-0.4266,"The Kakeya maximal conjecture in three dimensions",2,"https://github.com/openai/math/blob/main/preprints/The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026/paper.pdf"],[1,0.822,-0.4153,"Every four-dimensional Kakeya set has full Hausdorff dimension",2,"https://github.com/openai/math/blob/main/preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/paper.pdf"],[0,0.8975,-0.4411,"079. Local smoothing in three dimensions",2,"079-local-smoothing-three-dimensions"],[1,0.8391,-0.4124,"Critical local smoothing for the three-dimensional wave equation",2,"https://github.com/openai/math/blob/main/preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/paper.pdf"],[0,0.9036,-0.4285,"080. The exact Sobolev endpoint for Schrödinger convergence",2,"080-schrodinger-convergence-sobolev-endpoint"],[1,0.8436,-0.4031,"Endpoint convergence for the planar Schrodinger equation",2,"https://github.com/openai/math/blob/main/preprints/Endpoint-convergence-for-the-planar-Schrodinger-equation-September-24-2026/paper.pdf"],[1,0.8334,-0.3921,"Endpoint pointwise convergence for the Schrodinger equation in higher dimensions",2,"https://github.com/openai/math/blob/main/preprints/Endpoint-pointwise-convergence-for-the-Schrodinger-equation-in-higher-dimensions-September-24-2026/paper.pdf"],[0,0.9095,-0.4157,"073. The Falconer distance conjecture",2,"073-falconer-distance-conjecture"],[1,0.8504,-0.3887,"The Falconer distance conjecture in all dimensions",2,"https://github.com/openai/math/blob/main/preprints/The-Falconer-distance-conjecture-in-all-dimensions-September-23-2026/paper.pdf"],[0,0.9152,-0.403,"081. Riesz transforms and rectifiability in higher codimension",2,"081-riesz-transforms-rectifiability-higher-codimension"],[1,0.8557,-0.3768,"Riesz transforms and uniform rectifiability in higher codimension",2,"https://github.com/openai/math/blob/main/preprints/Riesz-transforms-and-uniform-rectifiability-in-higher-codimension-September-24-2026/paper.pdf"],[0,0.9208,-0.3901,"071. Koebe’s circle-domain conjecture",2,"071-koebes-circle-domain-conjecture"],[1,0.8598,-0.3673,"Removable Boundaries and Rigidity of Circle Domains",2,"https://github.com/openai/math/blob/main/preprints/Removable-Boundaries-and-Rigidity-of-Circle-Domains-September-23-2026/paper.pdf"],[1,0.8491,-0.3567,"Koebe's Circle-Domain Conjecture",2,"https://github.com/openai/math/blob/main/preprints/Koebes-Circle-Domain-Conjecture-September-23-2026/paper.pdf"],[0,0.9262,-0.3771,"085. Endpoint Sobolev regularity of centered disk averages",2,"085-endpoint-sobolev-regularity-centered-disk"],[1,0.866,-0.3526,"An Endpoint Gradient Bound for the Centered Disk Maximal Operator",2,"https://github.com/openai/math/blob/main/preprints/An-Endpoint-Gradient-Bound-for-the-Centered-Disk-Maximal-Operator-September-26-2026/article.pdf"],[0,0.9314,-0.3641,"072. Brennan's conjecture and the integral-means spectrum",2,"072-brennans-conjecture-integral-means-spectrum"],[1,0.8698,-0.343,"Brennan's conjecture and sharp inverse-square integral means",2,"https://github.com/openai/math/blob/main/preprints/Brennans-conjecture-and-sharp-inverse-square-integral-means-September-24-2026/paper.pdf"],[1,0.8588,-0.3328,"A strict inverse-first-power bound for univalent functions",2,"https://github.com/openai/math/blob/main/preprints/A-strict-inverse-first-power-bound-for-univalent-functions-September-24-2026/paper.pdf"],[0,0.9364,-0.351,"075. The L log L Fourier-convergence conjecture",2,"075-fourier-convergence-conjecture"],[1,0.8755,-0.3282,"Almost-everywhere Fourier convergence in L log L",2,"https://github.com/openai/math/blob/main/preprints/Almost-everywhere-Fourier-convergence-in-L-log-L-September-23-2026/paper.pdf"],[0,0.9412,-0.3379,"083. Hilbert transforms along Lipschitz directions",2,"083-hilbert-transform-lipschitz-directions"],[1,0.88,-0.3159,"A uniform Hilbert transform estimate for Lipschitz directions",2,"https://github.com/openai/math/blob/main/preprints/A-uniform-Hilbert-transform-estimate-for-Lipschitz-directions-September-25-2026/main.pdf"],[0,0.9458,-0.3246,"082. Annular variation and dyadic absolute bounds for the triangular Hilbert transform",2,"082-triangular-hilbert-transform-symmetric-point"],[1,0.8831,-0.307,"Annular variation of the triangular Hilbert transform at the symmetric point",2,"https://github.com/openai/math/blob/main/preprints/Annular-variation-of-the-triangular-Hilbert-transform-at-the-symmetric-point-October-5-2026/annular-variation.pdf"],[1,0.8711,-0.299,"An L³ bound for the dyadic triangular Hilbert form",2,"https://github.com/openai/math/blob/main/preprints/An-L3-bound-for-the-dyadic-triangular-Hilbert-form-October-5-2026/dyadic-triangular-hilbert.pdf"],[1,0.8856,-0.3,"The maximal triangular Hilbert transform at the symmetric point",2,"https://github.com/openai/math/blob/main/preprints/The-maximal-triangular-Hilbert-transform-at-the-symmetric-point-September-24-2026/paper.pdf"],[0,0.9503,-0.3113,"086. An L³ bound for the trilinear Hilbert transform",2,"086-l3-bound-trilinear-hilbert-transform"],[1,0.8885,-0.2911,"An L³ bound for the trilinear Hilbert transform",2,"https://github.com/openai/math/blob/main/preprints/An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026/paper.pdf"],[0,0.9546,-0.298,"076. Real ultraflat Littlewood polynomials and unbounded binary merit factors",2,"076-real-ultraflat-littlewood-polynomials-unbounded"],[1,0.8914,-0.2822,"Ultraflat real Littlewood polynomials",2,"https://github.com/openai/math/blob/main/preprints/Ultraflat-real-Littlewood-polynomials-October-5-2026/ultraflat-real-littlewood-polynomials.pdf"],[1,0.8792,-0.2745,"Nearly minimal maxima and positive minima of Littlewood polynomials",2,"https://github.com/openai/math/blob/main/preprints/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026/littlewood-lower-envelope.pdf"],[1,0.8936,-0.2751,"Asymptotically minimal maxima of real Littlewood polynomials",2,"https://github.com/openai/math/blob/main/preprints/Asymptotically-minimal-maxima-of-real-Littlewood-polynomials-September-23-2026/paper.pdf"],[0,0.9587,-0.2846,"084. The geometric case of the Erdős similarity conjecture",2,"084-erdos-similarity-geometric-sequences"],[1,0.8955,-0.2688,"The geometric case of the Erdős similarity conjecture",2,"https://github.com/openai/math/blob/main/preprints/The-geometric-case-of-the-Erdos-similarity-conjecture-October-5-2026/geometric-erdos-similarity.pdf"],[1,0.8837,-0.2595,"The dyadic case of the Erdős similarity conjecture",2,"https://github.com/openai/math/blob/main/preprints/The-dyadic-case-of-the-Erdos-similarity-conjecture-September-25-2026/paper.pdf"],[0,0.9777,-0.2101,"087. The Mahler conjectures, functional inequalities and polar-product symplectic width",3,"087-mahler-conjectures-functional-inequalities-polar"],[1,0.9133,-0.2001,"The symmetric Mahler conjecture and its equality cases",3,"https://github.com/openai/math/blob/main/preprints/The-symmetric-Mahler-conjecture-and-its-equality-cases-September-22-2026/paper.pdf"],[1,0.9004,-0.1935,"The Mahler Conjecture for General Convex Bodies",3,"https://github.com/openai/math/blob/main/preprints/The-Mahler-Conjecture-for-General-Convex-Bodies-September-22-2026/paper.pdf"],[1,0.9149,-0.1928,"Symplectic Balls in Symmetric Polar Products",3,"https://github.com/openai/math/blob/main/preprints/Symplectic-Balls-in-Symmetric-Polar-Products-September-22-2026/paper.pdf"],[0,0.9805,-0.1964,"101. The sharp simplex conjecture for isotropic constants",3,"101-sharp-simplex-conjecture-isotropic-constants"],[1,0.9168,-0.1836,"A sharp entropy bound and the simplex inequality for isotropic constants",3,"https://github.com/openai/math/blob/main/preprints/A-sharp-entropy-bound-and-the-simplex-inequality-for-isotropic-constants-October-5-2026/isotropic-simplex.pdf"],[0,0.9832,-0.1827,"088. Sharp projection-body inequalities and a counterexample to simplex maximization",3,"088-sharp-projection-body-inequalities-counterexample"],[1,0.9188,-0.1735,"Petty’s projection-volume conjecture in dimensions at least four",3,"https://github.com/openai/math/blob/main/preprints/Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026/paper.pdf"],[1,0.906,-0.1655,"A product counterexample to the simplex maximum for projection-body volume",3,"https://github.com/openai/math/blob/main/preprints/A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026/paper.pdf"],[0,0.9856,-0.1689,"089. Bounded-distortion L₁ embeddings of planar and bounded-treewidth graphs",3,"089-bounded-distortion-l1-embeddings-planar"],[1,0.9211,-0.1606,"Planar Graph Metrics Embed into L1 with Constant Distortion",3,"https://github.com/openai/math/blob/main/preprints/Planar-Graph-Metrics-Embed-into-L1-with-Constant-Distortion-September-23-2026/paper.pdf"],[1,0.9082,-0.1528,"L1 Embeddings of Graphs of Bounded Treewidth",3,"https://github.com/openai/math/blob/main/preprints/L1-Embeddings-of-Graphs-of-Bounded-Treewidth-September-23-2026/paper.pdf"],[0,0.9879,-0.155,"099. The sharp exponential scale of edit-distance distortion",3,"099-sharp-exponential-scale-edit-distance"],[1,0.9231,-0.1486,"Edit Distance in l1: Matching Bounds up to Constants in the Exponent",3,"https://github.com/openai/math/blob/main/preprints/Edit-Distance-in-l1-Matching-Bounds-up-to-Constants-in-the-Exponent-September-27-2026/paper.pdf"],[1,0.9099,-0.1428,"Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance",3,"https://github.com/openai/math/blob/main/preprints/Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026/paper.pdf"],[1,0.9243,-0.1413,"Tree Constructions for the l1 Distortion of Binary Edit Distance",3,"https://github.com/openai/math/blob/main/preprints/Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026/paper.pdf"],[0,0.99,-0.1412,"094. Subpolynomial dimension reduction in Lₚ",3,"094-subpolynomial-dimension-reduction-lp"],[1,0.9256,-0.132,"Subpolynomial dimension reduction in Lp",3,"https://github.com/openai/math/blob/main/preprints/Subpolynomial-dimension-reduction-in-Lp-September-23-2026/paper.pdf"],[0,0.9919,-0.1273,"090. Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy",3,"090-triangular-lattice-optimality-long-range"],[1,0.9269,-0.1231,"An atomic certificate for triangular-lattice universal optimality",3,"https://github.com/openai/math/blob/main/preprints/An-atomic-certificate-for-triangular-lattice-universal-optimality-September-26-2026/paper.pdf"],[1,0.9133,-0.1186,"Universal optimality of the triangular lattice",3,"https://github.com/openai/math/blob/main/preprints/Universal-optimality-of-the-triangular-lattice-September-23-2026/paper.pdf"],[1,0.9276,-0.1176,"A sharp Fourier certificate for planar circle packing",3,"https://github.com/openai/math/blob/main/preprints/A-sharp-Fourier-certificate-for-planar-circle-packing-September-23-2026/paper.pdf"],[1,0.914,-0.1131,"Triangular minimality for planar Coulomb renormalized energy",3,"https://github.com/openai/math/blob/main/preprints/Triangular-minimality-for-planar-Coulomb-renormalized-energy-September-23-2026/paper.pdf"],[0,0.9936,-0.1133,"091. Logarithmic and Lₚ Brunn–Minkowski inequalities and the B-conjecture",3,"091-logarithmic-lp-brunn-minkowski-inequalities"],[1,0.929,-0.106,"The logarithmic Brunn–Minkowski conjecture",3,"https://github.com/openai/math/blob/main/preprints/The-logarithmic-Brunn-Minkowski-conjecture-September-23-2026/paper.pdf"],[0,0.995,-0.0994,"093. Dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures",3,"093-dimension-free-logarithmic-sobolev-inequality"],[1,0.9304,-0.0929,"A dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures",3,"https://github.com/openai/math/blob/main/preprints/A-dimension-free-logarithmic-Sobolev-inequality-for-subgaussian-log-concave-measures-September-23-2026/paper.pdf"],[0,0.9963,-0.0854,"092. The optimal order of convex-body covering density",3,"092-optimal-order-convex-body-covering"],[1,0.9313,-0.0827,"A single-lattice covering bound of order n log n",3,"https://github.com/openai/math/blob/main/preprints/A-single-lattice-covering-bound-of-order-n-log-n-September-23-2026/paper.pdf"],[1,0.9179,-0.076,"Translative covering densities of order n log n",3,"https://github.com/openai/math/blob/main/preprints/Translative-covering-densities-of-order-n-log-n-September-23-2026/paper.pdf"],[0,0.9974,-0.0715,"095. Hyperbolicity cones without semidefinite lifts",3,"095-hyperbolicity-cones-without-semidefinite-lifts"],[1,0.9323,-0.0705,"Hyperbolicity Cones Without Semidefinite Lifts",3,"https://github.com/openai/math/blob/main/preprints/Hyperbolicity-Cones-Without-Semidefinite-Lifts-October-5-2026/nonliftable-hyperbolicity.pdf"],[1,0.9186,-0.0658,"A nonspectrahedral hyperbolicity cone",3,"https://github.com/openai/math/blob/main/preprints/A-Nonspectrahedral-Hyperbolicity-Cone-September-24-2026/nonspectrahedral-hyperbolicity-cone.pdf"],[1,0.9329,-0.0631,"An Exact Semidefinite Lift of a Nonspectrahedral Hyperbolicity Cone",3,"https://github.com/openai/math/blob/main/preprints/An-Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone-October-5-2026/Exact-Semidefinite-Lift-of-a-Nonspectrahedral-Hyperbolicity-Cone.pdf"],[0,0.9983,-0.0575,"096. The Gaussian propeller conjecture in every dimension",3,"096-gaussian-propeller-conjecture-every-dimension"],[1,0.9335,-0.0537,"The Gaussian propeller bound in every dimension",3,"https://github.com/openai/math/blob/main/preprints/The-Gaussian-Propeller-Bound-in-Every-Dimension-September-24-2026/main.pdf"],[0,0.9991,-0.0435,"097. The Euclidean Steinitz–Bergström bound",3,"097-euclidean-steinitz-bergstrom-bound"],[1,0.9341,-0.0407,"The Euclidean Steinitz–Bergström theorem",3,"https://github.com/openai/math/blob/main/preprints/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026/The-Euclidean-Steinitz-Bergstrom-theorem-September-24-2026.pdf"],[0,0.9996,-0.0295,"098. Compact counterexamples to bi-Lipschitz dimension reduction",3,"098-compact-counterexamples-bi-lipschitz-dimension"],[1,0.9346,-0.0276,"A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding",3,"https://github.com/openai/math/blob/main/preprints/A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026/main.pdf"],[0,0.9999,-0.0155,"100. Cylinder coverings below the half-area bound",3,"100-cylinder-coverings-below-half-area"],[1,0.9348,-0.0186,"Finite angular cylinder covers below the half-area bound",3,"https://github.com/openai/math/blob/main/preprints/Finite-angular-cylinder-covers-below-the-half-area-bound-September-27-2026/main.pdf"],[1,0.9209,-0.0156,"Finite cylinder approximation of ruled sets",3,"https://github.com/openai/math/blob/main/preprints/Finite-cylinder-approximation-of-ruled-sets-September-27-2026/main.pdf"],[1,0.9349,-0.0131,"Slope-field perturbations of the two-cylinder covering",3,"https://github.com/openai/math/blob/main/preprints/Slope-field-perturbations-of-the-two-cylinder-covering-September-27-2026/main.pdf"],[1,0.9209,-0.0101,"Finite triangular approximation of radial sweeps",3,"https://github.com/openai/math/blob/main/preprints/Finite-triangular-approximation-of-radial-sweeps-September-27-2026/main.pdf"],[0,0.9981,0.0614,"102. The Unique Games Conjecture and optimal approximation thresholds",4,"102-unique-games-conjecture-optimal-approximation"],[1,0.9335,0.0529,"The Unique Games Theorem",4,"https://github.com/openai/math/blob/main/preprints/The-Unique-Games-Theorem-September-23-2026/paper.pdf"],[1,0.9194,0.0543,"A Direct Proof of Optimal Max-Cut Hardness",4,"https://github.com/openai/math/blob/main/preprints/A-Direct-Proof-of-Optimal-Max-Cut-Hardness-September-23-2026/paper.pdf"],[1,0.9332,0.0574,"The Factor-Two Hardness Threshold for Vertex Cover",4,"https://github.com/openai/math/blob/main/preprints/The-Factor-Two-Hardness-Threshold-for-Vertex-Cover-September-23-2026/paper.pdf"],[1,0.9191,0.0587,"Constant-factor hardness of Min-UnCut",4,"https://github.com/openai/math/blob/main/preprints/Constant-factor-hardness-of-Min-UnCut-September-23-2026/paper.pdf"],[1,0.933,0.0618,"Constant-factor hardness of directed feedback vertex set",4,"https://github.com/openai/math/blob/main/preprints/Constant-factor-hardness-of-directed-feedback-vertex-set-September-23-2026/paper.pdf"],[0,0.9972,0.0753,"105. Perfect completeness for 2-to-1 games",4,"105-two-to-one-games-perfect-completeness"],[1,0.9323,0.0704,"Perfect completeness for 2-to-1 games",4,"https://github.com/openai/math/blob/main/preprints/Perfect-completeness-for-2-to-1-games-September-23-2026/paper.pdf"],[0,0.996,0.0893,"106. Hardness of coloring three-colorable graphs",4,"106-coloring-three-colorable-graphs"],[1,0.9313,0.0835,"Hardness of finding large independent sets in three-colorable graphs",4,"https://github.com/openai/math/blob/main/preprints/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026/Hardness-of-finding-large-independent-sets-in-three-colorable-graphs-September-24-2026.pdf"],[0,0.9947,0.1033,"117. Uniform sparsest cut: hardness and semidefinite gaps",4,"117-uniform-sparsest-cut-hardness-gaps"],[1,0.9303,0.0938,"Constant-factor hardness of uniform sparsest cut",4,"https://github.com/openai/math/blob/main/preprints/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026/Constant-factor-hardness-of-uniform-sparsest-cut-September-24-2026.pdf"],[1,0.9158,0.0978,"Near-square-root logarithmic integrality gaps for uniform sparsest cut",4,"https://github.com/openai/math/blob/main/preprints/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026/Near-square-root-logarithmic-integrality-gaps-for-uniform-sparsest-cut-September-24-2026.pdf"],[0,0.9931,0.1172,"113. Approximate counting and entropy of perfect matchings",4,"113-counting-perfect-matchings-fpras"],[1,0.9289,0.1068,"A Fully Polynomial Randomized Approximation Scheme for Perfect Matchings in General Graphs",4,"https://github.com/openai/math/blob/main/preprints/A-Fully-Polynomial-Randomized-Approximation-Scheme-for-Perfect-Matchings-in-General-Graphs-September-23-2026/main.pdf"],[1,0.9143,0.1107,"Entropy and Face Dimension of the Perfect-Matching Polytope",4,"https://github.com/openai/math/blob/main/preprints/Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026/main.pdf"],[0,0.9914,0.1311,"115. Sampling and counting contingency tables with arbitrary margins",4,"115-contingency-tables-arbitrary-margins"],[1,0.9273,0.1198,"Exact Uniform Sampling of Contingency Tables with Arbitrary Margins",4,"https://github.com/openai/math/blob/main/preprints/Exact-Uniform-Sampling-of-Contingency-Tables-with-Arbitrary-Margins-September-24-2026/main.pdf"],[1,0.9127,0.1235,"An FPRAS for Cell-Bounded Contingency Tables",4,"https://github.com/openai/math/blob/main/preprints/An-FPRAS-for-Cell-Bounded-Contingency-Tables-September-24-2026/main.pdf"],[0,0.9894,0.145,"114. Approximate counting of common integer polymatroid bases",4,"114-common-matroid-bases-fpras"],[1,0.9255,0.1328,"An FPRAS for Common Integer Polymatroid Bases with Binary Capacities",4,"https://github.com/openai/math/blob/main/preprints/An-FPRAS-for-Common-Integer-Polymatroid-Bases-with-Binary-Capacities-October-5-2026/polymatroid-fpras.pdf"],[1,0.9109,0.1363,"Approximate counting of common bases of two matroids",4,"https://github.com/openai/math/blob/main/preprints/Approximate-counting-of-common-bases-of-two-matroids-September-23-2026/main.pdf"],[0,0.9873,0.1589,"103. Exact derandomization of logarithmic space: L = RL = BPL",4,"103-exact-derandomization-logarithmic-space"],[1,0.9231,0.1485,"Exact derandomization of logarithmic space: L = RL = BPL",4,"https://github.com/openai/math/blob/main/preprints/Exact-Derandomization-of-Logarithmic-Space-L-equals-RL-equals-BPL-September-23-2026/paper.pdf"],[0,0.985,0.1727,"141. Existential–universal real sentences in the counting hierarchy",4,"141-etr-counting-hierarchy"],[1,0.921,0.1615,"Existential–universal real sentences in the counting hierarchy",4,"https://github.com/openai/math/blob/main/preprints/Existential-universal-real-sentences-in-the-counting-hierarchy-October-4-2026/etr-counting-hierarchy.pdf"],[0,0.9825,0.1865,"104. Quasipolynomial algorithms for mean-payoff, stochastic and parity games",4,"104-quasipolynomial-mean-payoff-games"],[1,0.9194,0.1702,"Turn-Based Stochastic Mean-Payoff Games in Deterministic Quasipolynomial Time",4,"https://github.com/openai/math/blob/main/preprints/Turn-Based-Stochastic-Mean-Payoff-Games-in-Deterministic-Quasipolynomial-Time-October-5-2026/stochastic-mean-payoff-games.pdf"],[1,0.9051,0.1704,"Mean-payoff parity games in quasipolynomial time",4,"https://github.com/openai/math/blob/main/preprints/Mean-payoff-parity-games-in-quasipolynomial-time-October-5-2026/mean-payoff-parity.pdf"],[1,0.9183,0.1757,"Deterministic quasipolynomial-time mean-payoff games",4,"https://github.com/openai/math/blob/main/preprints/Deterministic-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf"],[1,0.9041,0.1758,"Randomized quasipolynomial-time mean-payoff games",4,"https://github.com/openai/math/blob/main/preprints/Randomized-quasipolynomial-time-mean-payoff-games-September-25-2026/paper.pdf"],[0,0.9798,0.2002,"107. Matrix multiplication with exponent at most 9/4",4,"107-matrix-multiplication-exponent-nine-fourths"],[1,0.9168,0.1836,"An Upper Bound of 9/4 for the Matrix Multiplication Exponent",4,"https://github.com/openai/math/blob/main/preprints/Matrix-Multiplication-Nine-Fourths-October-2-2026/paper.pdf"],[1,0.9024,0.1844,"Complex Matrix Multiplication Below 2.258 and Rectangular Bounds",4,"https://github.com/openai/math/blob/main/preprints/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026/Complex-Matrix-Multiplication-Below-2.258-and-Rectangular-Bounds-September-24-2026.pdf"],[1,0.9153,0.1908,"Staggered extraction for exact matrix multiplication over every field",4,"https://github.com/openai/math/blob/main/preprints/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026/Staggered-extraction-for-exact-matrix-multiplication-over-every-field-September-24-2026.pdf"],[0,0.9768,0.2139,"130. Exact Fourier transforms below n log n",4,"130-fourier-below-n-log-n"],[1,0.9139,0.1973,"An explicit power saving for the exact discrete Fourier transform",4,"https://github.com/openai/math/blob/main/preprints/An-explicit-power-saving-for-the-exact-discrete-Fourier-transform-September-25-2026/main.pdf"],[1,0.8991,0.1997,"Finite tensor savings and exact Fourier circuits",4,"https://github.com/openai/math/blob/main/preprints/Finite-tensor-savings-and-exact-Fourier-circuits-September-25-2026/main.pdf"],[0,0.9738,0.2276,"109. Integer multiplication below n log n",4,"109-integer-multiplication-below-n-log-n"],[1,0.9105,0.2128,"Integer multiplication below n log n",4,"https://github.com/openai/math/blob/main/preprints/Integer-multiplication-below-n-log-n-September-23-2026/paper.pdf"],[0,0.9705,0.2412,"138. Subset Sum in O(2^(0.49n)) time",4,"138-subset-sum-049"],[1,0.9081,0.2229,"Subset Sum in Time O(2^(0.49n))",4,"https://github.com/openai/math/blob/main/preprints/Subset-Sum-in-Time-2-power-0-49n-October-4-2026/subset-sum.pdf"],[1,0.8931,0.2248,"A Low-Space Algorithm for Worst-Case Subset Sum",4,"https://github.com/openai/math/blob/main/preprints/A-Low-Space-Algorithm-for-Worst-Case-Subset-Sum-September-26-2026/paper.pdf"],[0,0.967,0.2548,"118. Bin packing and unbounded configuration-LP gaps",4,"118-bin-packing-configuration-gap"],[1,0.9041,0.2383,"Additive hardness and unbounded configuration gaps in bin packing",4,"https://github.com/openai/math/blob/main/preprints/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026/Additive-hardness-and-unbounded-configuration-gaps-in-bin-packing-September-24-2026.pdf"],[0,0.9633,0.2684,"108. A cubic permanent–determinant lower bound",4,"108-permanent-determinant-cubic-lower-bound"],[1,0.9007,0.2509,"A cubic lower bound for border determinantal complexity of the permanent",4,"https://github.com/openai/math/blob/main/preprints/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026/A-cubic-lower-bound-for-border-determinantal-complexity-of-the-permanent-September-24-2026.pdf"],[0,0.9595,0.2818,"112. Beyond the square-root exponent for depth-three circuits",4,"112-depth-three-circuits-beyond-square-root"],[1,0.8971,0.2635,"Beyond the Square-Root Exponent for Depth-Three Boolean Circuits",4,"https://github.com/openai/math/blob/main/preprints/Beyond-the-Square-Root-Exponent-for-Depth-Three-Boolean-Circuits-September-23-2026/main.pdf"],[0,0.9554,0.2953,"133. The computational complexity of Weisfeiler–Leman refinement",4,"133-weisfeiler-leman-complexity"],[1,0.8945,0.2721,"Parity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence",4,"https://github.com/openai/math/blob/main/preprints/Parity-lifts-and-bounded-treewidth-witnesses-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf"],[1,0.8803,0.2706,"The complexity of identifying a graph by Weisfeiler–Leman refinement",4,"https://github.com/openai/math/blob/main/preprints/The-complexity-of-identifying-a-graph-by-Weisfeiler-Leman-refinement-September-25-2026/paper.pdf"],[1,0.8929,0.2774,"Unconditional time lower bounds for Weisfeiler–Leman equivalence",4,"https://github.com/openai/math/blob/main/preprints/Unconditional-time-lower-bounds-for-Weisfeiler-Leman-equivalence-September-25-2026/paper.pdf"],[1,0.8787,0.2759,"Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs",4,"https://github.com/openai/math/blob/main/preprints/Variable-dimension-Weisfeiler-Leman-equivalence-on-general-and-subcubic-graphs-September-25-2026/paper.pdf"],[0,0.9512,0.3086,"110. Optimal-order randomized k-server on arbitrary metrics",4,"110-randomized-k-server-squared-log"],[1,0.8902,0.2859,"Squared-logarithmic randomized k-server on arbitrary metrics",4,"https://github.com/openai/math/blob/main/preprints/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026.pdf"],[1,0.8752,0.2868,"Uniform computation of the squared-logarithmic k-server bound",4,"https://github.com/openai/math/blob/main/preprints/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026/Uniform-computation-of-the-squared-logarithmic-k-server-bound-September-24-2026.pdf"],[0,0.9468,0.3219,"111. One-sample matroid prophet inequalities against an almighty adversary",4,"111-one-sample-matroid-prophet-inequality"],[1,0.8852,0.301,"One Sample Suffices for Matroid Prophet Inequalities against an Almighty Adversary",4,"https://github.com/openai/math/blob/main/preprints/One-Sample-Suffices-for-Matroid-Prophet-Inequalities-against-an-Almighty-Adversary-September-23-2026/final.pdf"],[0,0.9422,0.3352,"116. Uniform black-box noncommutative identity testing across characteristics",4,"116-noncommutative-identity-testing-hitting-points"],[1,0.8822,0.3099,"Uniform Matrix Hitting Points in Every Positive Characteristic",4,"https://github.com/openai/math/blob/main/preprints/Uniform-Matrix-Hitting-Points-in-Every-Positive-Characteristic-October-4-2026/uniform-matrix-hitting-points-positive-characteristic.pdf"],[1,0.8677,0.3087,"One Rational Matrix Hitting Point for Noncommutative Formulas",4,"https://github.com/openai/math/blob/main/preprints/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026/One-Rational-Matrix-Hitting-Point-for-Noncommutative-Formulas-September-24-2026.pdf"],[1,0.8797,0.3169,"Polynomial Hitting Lists for Noncommutative Rational Formulas",4,"https://github.com/openai/math/blob/main/preprints/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026/Polynomial-Hitting-Lists-for-Noncommutative-Rational-Formulas-September-24-2026.pdf"],[0,0.9374,0.3483,"119. The Courtade–Kumar and Hellinger conjectures",4,"119-courtade-kumar-hellinger-conjectures"],[1,0.8774,0.3231,"Sharp binary-information contraction on the discrete cube",4,"https://github.com/openai/math/blob/main/preprints/Sharp-binary-information-contraction-on-the-discrete-cube-September-24-2026/main.pdf"],[1,0.8624,0.3234,"Hellinger contraction with arbitrary Boolean output bias",4,"https://github.com/openai/math/blob/main/preprints/Hellinger-contraction-with-arbitrary-Boolean-output-bias-September-24-2026/main.pdf"],[0,0.9324,0.3614,"122. Quantitative trace-reconstruction bounds with a uniform decoder",4,"122-trace-reconstruction-bounds"],[1,0.8731,0.3345,"Uniform quasipolynomial-time trace reconstruction",4,"https://github.com/openai/math/blob/main/preprints/Uniform-quasipolynomial-time-trace-reconstruction-October-5-2026/uniform-trace-reconstruction.pdf"],[1,0.8587,0.3329,"A latest-anchor induction with spectrally compact masks for worst-case trace reconstruction",4,"https://github.com/openai/math/blob/main/preprints/A-latest-anchor-induction-with-spectrally-compact-masks-for-worst-case-trace-reconstruction-October-5-2026/paper.pdf"],[1,0.8704,0.3414,"Quantitative lower bounds for trace reconstruction",4,"https://github.com/openai/math/blob/main/preprints/quantitative-lower-bounds-for-trace-reconstruction-September-24-2026/paper.pdf"],[0,0.9272,0.3745,"120. Almost-linear-time exact matching and prescribed-degree factors in general graphs",4,"120-almost-linear-general-matching"],[1,0.867,0.3501,"Almost-Linear-Time Maximum-Cardinality Matching in General Graphs",4,"https://github.com/openai/math/blob/main/preprints/Almost-Linear-Time-Maximum-Cardinality-Matching-in-Sparse-General-Graphs-September-24-2026/main.pdf"],[0,0.9219,0.3874,"126. Exponential semidefinite complexity of perfect matching",4,"126-matching-psd-rank"],[1,0.862,0.3623,"Exponential PSD rank of positively shifted matching matrices",4,"https://github.com/openai/math/blob/main/preprints/Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026/shifted-matching-psd.pdf"],[0,0.9164,0.4003,"131. Rapid mixing of graph switches for every degree sequence",4,"131-switch-chain-mixing"],[1,0.8568,0.3743,"Polynomial mixing of the switch chain for every graphical degree sequence",4,"https://github.com/openai/math/blob/main/preprints/Polynomial-Mixing-of-the-Switch-Chain-for-Every-Graphical-Degree-Sequence-September-25-2026/main.pdf"],[0,0.9107,0.4131,"121. Almost-linear approximation of edit distance",4,"121-edit-distance-approximation-scheme"],[1,0.8515,0.3863,"An Almost-Linear Approximation Scheme for Edit Distance",4,"https://github.com/openai/math/blob/main/preprints/An-Almost-Linear-Approximation-Scheme-for-Edit-Distance-September-24-2026/paper.pdf"],[0,0.9048,0.4259,"124. Polynomial-time scheduling on three identical machines",4,"124-three-machine-scheduling"],[1,0.846,0.3982,"A Polynomial-Time Algorithm for Three-Machine Unit-Job Scheduling",4,"https://github.com/openai/math/blob/main/preprints/A-polynomial-time-algorithm-for-three-machine-unit-job-scheduling-September-24-2026/paper.pdf"],[0,0.8987,0.4385,"125. The metric k-median approximation threshold and recovery",4,"125-k-median-approximation-threshold"],[1,0.8415,0.4075,"Single-exponential recovery and bounded-price strictness for metric k-median",4,"https://github.com/openai/math/blob/main/preprints/Single-Exponential-Recovery-and-Bounded-Price-Strictness-for-Metric-k-Median-September-24-2026/paper.pdf"],[1,0.8265,0.4063,"The approximation threshold for metric k-median",4,"https://github.com/openai/math/blob/main/preprints/The-Approximation-Threshold-for-Metric-k-Median-September-24-2026/main.pdf"],[0,0.8925,0.4511,"127. Average sensitivity of polynomial threshold functions",4,"127-ptf-average-sensitivity"],[1,0.8345,0.4217,"Average sensitivity of polynomial threshold functions",4,"https://github.com/openai/math/blob/main/preprints/Average-Sensitivity-of-Polynomial-Threshold-Functions-September-25-2026/main.pdf"],[0,0.8861,0.4635,"128. A factor-two approximation for shortest common superstring",4,"128-superstring-factor-two"],[1,0.8285,0.4334,"A Polynomial-Time 2-Approximation for Shortest Common Superstring",4,"https://github.com/openai/math/blob/main/preprints/A-Polynomial-Time-2-Approximation-for-Shortest-Common-Superstring-September-24-2026/paper.pdf"],[0,0.8795,0.4759,"129. Exponential state costs for two-way automata",4,"129-two-way-automata-state-costs"],[1,0.8237,0.4425,"An exponential state lower bound for two-way nondeterministic complementation",4,"https://github.com/openai/math/blob/main/preprints/An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026/paper.pdf"],[1,0.8087,0.4407,"An exponential two-way deterministic state lower bound for one-way liveness",4,"https://github.com/openai/math/blob/main/preprints/An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026/main.pdf"],[0,0.8727,0.4882,"132. A superquadratic separation of sensitivity and block sensitivity",4,"132-sensitivity-block-sensitivity"],[1,0.816,0.4564,"A superquadratic separation between sensitivity and block sensitivity",4,"https://github.com/openai/math/blob/main/preprints/A-superquadratic-separation-between-sensitivity-and-block-sensitivity-September-25-2026/paper.pdf"],[0,0.8658,0.5004,"134. Generalized star height at most three",4,"134-generalized-star-height"],[1,0.8114,0.4646,"Finite Monoid Computations and a Uniform Generalized Star-Height Bound",4,"https://github.com/openai/math/blob/main/preprints/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026/Finite-Monoid-Computations-and-a-Uniform-Generalized-Star-Height-Bound-September-25-2026.pdf"],[1,0.7974,0.4608,"Generalized Star Height at Most Four",4,"https://github.com/openai/math/blob/main/preprints/Generalized-Star-Height-at-Most-Four-September-25-2026/Generalized-Star-Height-at-Most-Four-September-25-2026.pdf"],[1,0.8077,0.4711,"Generalized Star Height at Most Three",4,"https://github.com/openai/math/blob/main/preprints/Generalized-Star-Height-at-Most-Three-September-25-2026/article.pdf"],[0,0.8587,0.5125,"135. Homogeneous depth-five lower bounds for iterated matrix multiplication",4,"135-depth-five-imm"],[1,0.8029,0.4791,"Homogeneous depth-five lower bounds for iterated matrix multiplication",4,"https://github.com/openai/math/blob/main/preprints/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026/Homogeneous-depth-five-lower-bounds-for-iterated-matrix-multiplication-September-25-2026.pdf"],[0,0.8514,0.5244,"136. A quasilinear PCP theorem for PPAD",4,"136-pcp-for-ppad"],[1,0.7961,0.4904,"The PCP-for-PPAD conjecture: a quasilinear reduction",4,"https://github.com/openai/math/blob/main/preprints/The-PCP-for-PPAD-conjecture-a-quasilinear-reduction-September-25-2026/paper.pdf"],[0,0.844,0.5363,"137. One-tape time simulation in two-fifths-power space",4,"137-one-tape-two-fifths"],[1,0.7892,0.5015,"Simulating One-Tape Time in Two-Fifths-Power Space",4,"https://github.com/openai/math/blob/main/preprints/Simulating-One-Tape-Time-in-Two-Fifths-Power-Space-September-25-2026/article.pdf"],[0,0.8364,0.5481,"139. Subpolynomial query complexity for log-concave sampling",4,"139-log-concave-queries"],[1,0.782,0.5125,"Subpolynomial query complexity for well-conditioned log-concave sampling",4,"https://github.com/openai/math/blob/main/preprints/Subpolynomial-query-complexity-for-well-conditioned-log-concave-sampling-September-26-2026/article.pdf"],[0,0.8286,0.5598,"140. Memory–sample lower bounds for noiseless Gaussian regression",4,"140-memory-regression"],[1,0.7774,0.5195,"Memory and precision in noiseless Gaussian regression",4,"https://github.com/openai/math/blob/main/preprints/Memory-and-precision-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf"],[1,0.7647,0.5133,"Posterior replicas and conditional information in Gaussian regression",4,"https://github.com/openai/math/blob/main/preprints/Posterior-replicas-and-conditional-information-in-Gaussian-regression-September-27-2026/paper.pdf"],[1,0.7753,0.5226,"Localization costs and information growth for exact Gaussian observations",4,"https://github.com/openai/math/blob/main/preprints/Localization-costs-and-information-growth-for-exact-Gaussian-observations-September-27-2026/paper.pdf"],[1,0.7627,0.5163,"Projection moments, positive cap domination, and Riesz estimates on the sphere",4,"https://github.com/openai/math/blob/main/preprints/Projection-moments-positive-cap-domination-and-Riesz-estimates-on-the-sphere-September-27-2026/paper.pdf"],[1,0.7732,0.5257,"Replacing Gaussian observations in memory-constrained inference",4,"https://github.com/openai/math/blob/main/preprints/Replacing-Gaussian-observations-in-memory-constrained-inference-September-27-2026/paper.pdf"],[1,0.7606,0.5193,"Subsphere methods for memory-sample lower bounds in noiseless Gaussian regression",4,"https://github.com/openai/math/blob/main/preprints/Subsphere-methods-for-memory-sample-lower-bounds-in-noiseless-Gaussian-regression-September-27-2026/paper.pdf"],[0,0.8207,0.5713,"142. Deterministic polynomial factorization over prime fields",4,"142-deterministic-factoring"],[1,0.7674,0.5342,"Deterministic Polynomial Factorization over Prime Fields",4,"https://github.com/openai/math/blob/main/preprints/Deterministic-Polynomial-Factorization-over-Prime-Fields-October-4-2026/Deterministic-Polynomial-Factorization-over-Prime-Fields.pdf"],[0,0.7744,0.6327,"148. The entropy-rate dimension formula for self-similar measures",5,"148-entropy-rate-dimension"],[1,0.7241,0.5915,"The entropy-rate dimension formula for self-similar measures on the line",5,"https://github.com/openai/math/blob/main/preprints/The-entropy-rate-dimension-formula-for-self-similar-measures-on-the-line-September-24-2026/main.pdf"],[0,0.7655,0.6435,"153. Arithmetic classification and non-Pisot singularity for Bernoulli convolutions",5,"153-bernoulli-convolutions"],[1,0.7157,0.6016,"Arithmetic classification and non-Pisot singularity for Bernoulli convolutions",5,"https://github.com/openai/math/blob/main/preprints/Arithmetic-classification-and-non-Pisot-singularity-for-Bernoulli-convolutions-October-3-2026/paper.pdf"],[0,0.7564,0.6541,"143. Hilbert's sixteenth problem: uniform bounds for limit cycles",5,"143-hilbert-sixteenth-uniform"],[1,0.709,0.6095,"Uniform bounds for planar polynomial limit cycles",5,"https://github.com/openai/math/blob/main/preprints/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026/uniform-bounds-for-planar-polynomial-limit-cycles-September-24-2026.pdf"],[1,0.6948,0.6045,"Two limit cycles for quintic Liénard systems",5,"https://github.com/openai/math/blob/main/preprints/two-limit-cycles-for-quintic-lienard-systems-September-24-2026/two-limit-cycles-for-quintic-lienard-systems-September-24-2026.pdf"],[0,0.7471,0.6647,"144. Banach’s simple Lebesgue-spectrum problem",5,"144-simple-lebesgue-spectrum"],[1,0.6986,0.6215,"A smooth three-torus diffeomorphism with simple Lebesgue spectrum",5,"https://github.com/openai/math/blob/main/preprints/A-smooth-three-torus-diffeomorphism-with-simple-Lebesgue-spectrum-September-23-2026/paper.pdf"],[0,0.7378,0.6751,"146. Positive metric entropy for the standard map",5,"146-standard-map-entropy"],[1,0.6898,0.6312,"Positive Metric Entropy for the Standard Map at Large Parameters",5,"https://github.com/openai/math/blob/main/preprints/Positive-Metric-Entropy-for-the-Standard-Map-at-Large-Parameters-September-23-2026/paper.pdf"],[0,0.7282,0.6853,"145. Rokhlin’s multiple-mixing problem",5,"145-rokhlin-multiple-mixing"],[1,0.6809,0.6408,"Rokhlin's multiple-mixing problem for one transformation",5,"https://github.com/openai/math/blob/main/preprints/Rokhlins-multiple-mixing-problem-for-one-transformation-September-23-2026/paper.pdf"],[0,0.7185,0.6955,"154. Pointwise multiple ergodic averages for mixing transformations",5,"154-pointwise-multiple-ergodic-mixing"],[1,0.6747,0.6473,"Pointwise Multiple Ergodic Averages for Mixing Transformations",5,"https://github.com/openai/math/blob/main/preprints/Pointwise-Multiple-Ergodic-Averages-for-Mixing-Transformations-October-4-2026/multiple-ergodic-averages.pdf"],[1,0.6627,0.6396,"Pointwise convergence of fourfold ergodic averages for mixing transformations",5,"https://github.com/openai/math/blob/main/preprints/Pointwise-convergence-of-fourfold-ergodic-averages-for-mixing-transformations-October-4-2026/fourfold-ergodic-averages.pdf"],[1,0.6709,0.6513,"Triple ergodic averages with distinct integer slopes",5,"https://github.com/openai/math/blob/main/preprints/Triple-ergodic-averages-with-distinct-integer-slopes-October-4-2026/triple-ergodic-distinct-slopes.pdf"],[1,0.6589,0.6435,"Pointwise convergence of triple ergodic averages for mixing transformations",5,"https://github.com/openai/math/blob/main/preprints/Pointwise-convergence-of-triple-ergodic-averages-for-mixing-transformations-October-4-2026/pointwise-triple-ergodic-averages-mixing-transformations.pdf"],[0,0.7087,0.7055,"147. The near-boundary Birkhoff conjecture",5,"147-near-boundary-birkhoff"],[1,0.6646,0.6577,"Continuous Phase Foliations Create Analytic Caustic Collars",5,"https://github.com/openai/math/blob/main/preprints/Continuous-Phase-Foliations-Create-Analytic-Caustic-Collars-September-24-2026/paper.pdf"],[1,0.6508,0.6517,"Rigidity of Smooth Billiards with a Continuous Caustic Collar",5,"https://github.com/openai/math/blob/main/preprints/Rigidity-of-Smooth-Billiards-with-a-Continuous-Caustic-Collar-September-24-2026/paper.pdf"],[0,0.6988,0.7154,"149. Classwise permanence for weakly reversible mass-action systems",5,"149-mass-action-permanence"],[1,0.6553,0.6669,"Uniform Permanence in Weakly Reversible Mass-Action Systems",5,"https://github.com/openai/math/blob/main/preprints/Uniform-Permanence-in-Weakly-Reversible-Mass-Action-Systems-October-5-2026/permanence.pdf"],[1,0.6416,0.6608,"Boundedness and persistence of weakly reversible mass-action systems",5,"https://github.com/openai/math/blob/main/preprints/Boundedness-and-persistence-of-weakly-reversible-mass-action-systems-September-25-2026/paper.pdf"],[0,0.6887,0.7251,"150. Weak mixing of triangular billiards with an irrational angle",5,"150-triangle-weak-mixing"],[1,0.6459,0.676,"Weak mixing of triangular billiards with an irrational angle",5,"https://github.com/openai/math/blob/main/preprints/Weak-mixing-of-triangular-billiards-with-an-irrational-angle-October-5-2026/weak-mixing-triangular-billiards.pdf"],[1,0.6323,0.6697,"Ergodicity of triangular billiards with an irrational angle",5,"https://github.com/openai/math/blob/main/preprints/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026/Ergodicity-of-triangular-billiards-with-an-irrational-angle-September-25-2026.pdf"],[0,0.6784,0.7347,"151. A C¹ counterexample to the entropy conjecture",5,"151-entropy-conjecture-c1"],[1,0.6343,0.6869,"A C^1 Counterexample to the Entropy Conjecture",5,"https://github.com/openai/math/blob/main/preprints/A-C1-Counterexample-to-the-Entropy-Conjecture-September-25-2026/article.pdf"],[0,0.6681,0.7441,"152. Zero entropy does not guarantee a smooth positive-volume model",5,"152-smooth-volume-model"],[1,0.6246,0.6957,"A zero-entropy system without a smooth positive-volume model",5,"https://github.com/openai/math/blob/main/preprints/A-finite-entropy-system-without-a-smooth-positive-volume-model-September-25-2026/paper.pdf"],[0,0.609,0.7932,"159. Erdős’s reciprocal-sum conjecture and quasipolynomial Szemerédi bounds",6,"159-erdos-reciprocal-sum-conjecture"],[1,0.5694,0.7416,"Quasipolynomial Bounds for Arithmetic Progressions",6,"https://github.com/openai/math/blob/main/preprints/Quasipolynomial-Bounds-for-Arithmetic-Progressions-September-23-2026/paper.pdf"],[0,0.5978,0.8017,"164. Hindman’s finite sums and products conjecture",6,"164-hindmans-finite-sums-products-conjecture"],[1,0.5589,0.7496,"Monochromatic finite sums and products in the positive integers",6,"https://github.com/openai/math/blob/main/preprints/Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026/paper.pdf"],[0,0.5865,0.81,"160. Superexponential van der Waerden numbers",6,"160-superexponential-van-der-waerden-numbers"],[1,0.5484,0.7573,"Quantitative Superexponential Bounds for van der Waerden Numbers",6,"https://github.com/openai/math/blob/main/preprints/Quantitative-Superexponential-Bounds-for-van-der-Waerden-Numbers-September-23-2026/paper.pdf"],[0,0.5751,0.8181,"191. A power improvement in the Heilbronn triangle lower bound",6,"191-power-improvement-heilbronn-triangle-lower"],[1,0.5377,0.7649,"A power improvement in the Heilbronn triangle lower bound",6,"https://github.com/openai/math/blob/main/preprints/A-power-improvement-in-the-Heilbronn-triangle-lower-bound-September-25-2026/main.pdf"],[0,0.5635,0.8261,"155. A counterexample to periodic tiling in dimension three",6,"155-periodic-tiling-dimension-three"],[1,0.5269,0.7724,"A translational tile with no fully periodic tiling in dimension three",6,"https://github.com/openai/math/blob/main/preprints/A-translational-tile-with-no-fully-periodic-tiling-in-dimension-three-September-23-2026/paper.pdf"],[0,0.5519,0.8339,"156. Borsuk's conjecture fails in dimension nine",6,"156-borsuk-dimension-nine"],[1,0.516,0.7797,"A nine-dimensional counterexample to Borsuk's covering assertion",6,"https://github.com/openai/math/blob/main/preprints/A-nine-dimensional-counterexample-to-Borsuks-covering-assertion-September-23-2026/paper.pdf"],[0,0.5402,0.8416,"166. The higher-dimensional Erdős distinct-distances conjecture",6,"166-higher-dimensional-erdos-distinct-distances"],[1,0.5051,0.7869,"The higher-dimensional Erdős distinct-distances conjecture",6,"https://github.com/openai/math/blob/main/preprints/The-higher-dimensional-Erdos-distinct-distances-conjecture-September-23-2026/paper.pdf"],[0,0.5283,0.849,"167. Planar distinct distances and unit-distance bounds",6,"167-planar-distinct-distances-unit-distance"],[1,0.4963,0.7924,"The weak pinned planar distance theorem",6,"https://github.com/openai/math/blob/main/preprints/The-weak-pinned-planar-distance-theorem-September-23-2026/paper.pdf"],[1,0.4842,0.7834,"A power saving for planar unit distances",6,"https://github.com/openai/math/blob/main/preprints/A-power-saving-for-planar-unit-distances-September-23-2026/paper.pdf"],[0,0.5164,0.8564,"183. Power savings for planar halving lines and k-sets",6,"183-power-savings-planar-halving-lines"],[1,0.4828,0.8007,"A power saving for planar halving lines",6,"https://github.com/openai/math/blob/main/preprints/A-power-saving-for-planar-halving-lines-September-25-2026/main.pdf"],[0,0.5043,0.8635,"157. Graph coloring, clique minors, and Colin de Verdière invariants",6,"157-hadwiger-counterexample"],[1,0.4747,0.8055,"A counterexample to Hadwiger's conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-Hadwigers-conjecture-September-23-2026/paper.pdf"],[1,0.4645,0.7953,"A counterexample to the Colin de Verdière chromatic conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-the-Colin-de-Verdiere-chromatic-conjecture-September-23-2026/paper.pdf"],[1,0.4683,0.8093,"A linear list-coloring bound in terms of the Hadwiger number",6,"https://github.com/openai/math/blob/main/preprints/A-linear-list-coloring-bound-in-terms-of-the-Hadwiger-number-September-23-2026/paper.pdf"],[0,0.4922,0.8705,"180. Barnette’s Hamiltonian-cycle conjecture",6,"180-barnettes-hamiltonian-cycle-conjecture"],[1,0.4602,0.8139,"Paired states and Hamiltonian cycles in cubic bipartite planar graphs",6,"https://github.com/openai/math/blob/main/preprints/Paired-states-and-Hamiltonian-cycles-in-cubic-bipartite-planar-graphs-September-24-2026/paper.pdf"],[0,0.4799,0.8773,"158. The Euclidean plane cannot be colored with five colors",6,"158-plane-not-five-colorable"],[1,0.4487,0.8203,"The Euclidean plane is not five-colorable",6,"https://github.com/openai/math/blob/main/preprints/The-Euclidean-plane-is-not-five-colorable-September-23-2026/paper.pdf"],[0,0.4676,0.884,"182. Power savings for intersective polynomial differences and prime arguments",6,"182-power-savings-intersective-polynomial-differences"],[1,0.4404,0.8248,"A power saving for intersective polynomial differences with an exponent depending only on the degree",6,"https://github.com/openai/math/blob/main/preprints/A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026/power-saving-intersective-polynomial-differences.pdf"],[1,0.4306,0.8141,"A Power Saving for Polynomial Differences at Prime Arguments",6,"https://github.com/openai/math/blob/main/preprints/A-Power-Saving-for-Polynomial-Differences-at-Prime-Arguments-October-5-2026/prime-argument-polynomial-differences.pdf"],[1,0.4339,0.8282,"A power saving for square-difference-free sets",6,"https://github.com/openai/math/blob/main/preprints/A-power-saving-for-square-difference-free-sets-September-24-2026/paper.pdf"],[0,0.4551,0.8904,"161. Counterexamples to Sidorenko’s conjecture and the forcing conjecture",6,"161-counterexamples-sidorenkos-conjecture-forcing-conjecture"],[1,0.4255,0.8326,"A counterexample to Sidorenko's conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-Sidorenkos-conjecture-September-23-2026/paper.pdf"],[0,0.4426,0.8967,"162. Counterexamples to Ryser’s covering conjecture",6,"162-counterexamples-rysers-covering-conjecture"],[1,0.4163,0.8372,"Balanced counterexamples to Ryser's conjecture at prime orders",6,"https://github.com/openai/math/blob/main/preprints/Balanced-Counterexamples-to-Rysers-Conjecture-at-Prime-Orders-September-27-2026/paper.pdf"],[1,0.4052,0.8271,"A counterexample to Ryser's covering conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026/paper.pdf"],[0,0.43,0.9028,"171. The hypercube Ramsey conjecture",6,"171-hypercube-ramsey-conjecture"],[1,0.402,0.8442,"The hypercube Ramsey number has linear order",6,"https://github.com/openai/math/blob/main/preprints/The-hypercube-Ramsey-number-has-linear-order-September-23-2026/paper.pdf"],[0,0.4173,0.9088,"184. Correspondence coloring with a fixed forbidden subgraph",6,"184-correspondence-coloring-fixed-forbidden-subgraph"],[1,0.3927,0.8485,"Correspondence coloring graphs with a forbidden clique",6,"https://github.com/openai/math/blob/main/preprints/Correspondence-Coloring-Graphs-with-a-Forbidden-Clique-October-5-2026/correspondence-coloring-forbidden-clique.pdf"],[1,0.3818,0.8381,"A logarithmic independence bound for clique-free graphs",6,"https://github.com/openai/math/blob/main/preprints/A-Logarithmic-Independence-Bound-for-Clique-Free-Graphs-September-25-2026/paper.pdf"],[0,0.4045,0.9145,"170. Sharp logarithmic exponents for off-diagonal Ramsey numbers",6,"170-sharp-logarithmic-exponents-off-diagonal"],[1,0.3808,0.854,"The sharp logarithmic exponent of r(5,t)",6,"https://github.com/openai/math/blob/main/preprints/The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026/paper.pdf"],[1,0.37,0.8434,"Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers",6,"https://github.com/openai/math/blob/main/preprints/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026/paper.pdf"],[0,0.3916,0.9201,"165. The Harary–Hill and Zarankiewicz crossing-number formulas",6,"165-harary-hill-zarankiewicz-crossing-number"],[1,0.3687,0.8592,"The crossing number of complete graphs",6,"https://github.com/openai/math/blob/main/preprints/The-crossing-number-of-complete-graphs-September-23-2026/paper.pdf"],[1,0.3582,0.8485,"The crossing number of complete bipartite graphs",6,"https://github.com/openai/math/blob/main/preprints/The-crossing-number-of-complete-bipartite-graphs-September-23-2026/paper.pdf"],[0,0.3787,0.9255,"168. Combinatorial invariance of Kazhdan–Lusztig polynomials",6,"168-combinatorial-invariance-kazhdan-lusztig-polynomials"],[1,0.3541,0.8654,"Combinatorial invariance of Kazhdan–Lusztig polynomials",6,"https://github.com/openai/math/blob/main/preprints/Combinatorial-Invariance-of-Kazhdan-Lusztig-Polynomials-September-24-2026/paper.pdf"],[0,0.3657,0.9307,"169. Shareshian–Wachs elementary positivity",6,"169-shareshian-wachs-elementary-positivity"],[1,0.3419,0.8702,"Elementary positivity of chromatic quasisymmetric functions",6,"https://github.com/openai/math/blob/main/preprints/Elementary-Positivity-of-Chromatic-Quasisymmetric-Functions-September-24-2026/paper.pdf"],[0,0.3526,0.9358,"172. Classification of finite Euclidean Ramsey configurations",6,"172-classification-finite-euclidean-ramsey-configurations"],[1,0.3297,0.8749,"A classification of finite Euclidean Ramsey configurations",6,"https://github.com/openai/math/blob/main/preprints/A-classification-of-finite-Euclidean-Ramsey-configurations-September-23-2026/paper.pdf"],[0,0.3395,0.9406,"173. Seymour’s second-neighborhood conjecture",6,"173-seymours-second-neighborhood-conjecture"],[1,0.3174,0.8795,"A proof of Seymour’s second-neighborhood conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-proof-of-Seymours-second-neighborhood-conjecture-September-23-2026/paper.pdf"],[0,0.3262,0.9453,"174. Deterministic construction of strong thin spanning trees",6,"174-deterministic-construction-strong-thin-spanning"],[1,0.3077,0.8829,"The strong thin tree conjecture",6,"https://github.com/openai/math/blob/main/preprints/The-strong-thin-tree-conjecture-September-23-2026/paper.pdf"],[1,0.2979,0.8715,"A polynomial-time construction of strong thin trees",6,"https://github.com/openai/math/blob/main/preprints/A-polynomial-time-construction-of-strong-thin-trees-September-23-2026/paper.pdf"],[0,0.3129,0.9498,"175. Talagrand’s expectation thresholds, discrete convexity, and graph decompositions",6,"175-talagrands-expectation-thresholds-discrete-convexity"],[1,0.2961,0.8869,"Graph Decompositions at the Integral Expectation Threshold",6,"https://github.com/openai/math/blob/main/preprints/Graph-Decompositions-at-the-Integral-Expectation-Threshold-October-5-2026/graph-threshold-decompositions.pdf"],[1,0.2882,0.8747,"Integral and fractional expectation thresholds are equivalent",6,"https://github.com/openai/math/blob/main/preprints/Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026/paper.pdf"],[1,0.2891,0.8892,"Talagrand’s discrete-convexity conjecture",6,"https://github.com/openai/math/blob/main/preprints/Talagrands-discrete-convexity-conjecture-September-23-2026/paper.pdf"],[0,0.2996,0.9541,"176. The second Kahn–Kalai conjecture with an edge-count bound",6,"176-second-kahn-kalai-conjecture-edge"],[1,0.2801,0.892,"The second Kahn–Kalai conjecture",6,"https://github.com/openai/math/blob/main/preprints/The-second-Kahn-Kalai-conjecture-September-24-2026/paper.pdf"],[0,0.2862,0.9582,"177. Bounded-degree coboundary expanders",6,"177-bounded-degree-coboundary-expanders"],[1,0.2676,0.8959,"Bounded-degree coboundary expanders in every dimension",6,"https://github.com/openai/math/blob/main/preprints/Bounded-degree-coboundary-expanders-in-every-dimension-September-24-2026/paper.pdf"],[0,0.2727,0.9621,"178. Deterministic nonbipartite Ramanujan graphs in every fixed degree",6,"178-deterministic-nonbipartite-ramanujan-graphs-every"],[1,0.255,0.8996,"Deterministic nonbipartite Ramanujan graphs in every fixed degree",6,"https://github.com/openai/math/blob/main/preprints/Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026/paper.pdf"],[0,0.2592,0.9658,"186. Uniform influence and sharp thresholds for graph and hypergraph properties",6,"186-uniform-influence-sharp-thresholds-graph"],[1,0.2451,0.9023,"A uniform influence bound for hypergraph properties",6,"https://github.com/openai/math/blob/main/preprints/A-uniform-influence-bound-for-hypergraph-properties-October-5-2026/hypergraph-influences.pdf"],[1,0.2361,0.8902,"A Sharp Threshold Bound for Monotone Graph Properties",6,"https://github.com/openai/math/blob/main/preprints/A-Sharp-Threshold-Bound-for-Monotone-Graph-Properties-September-25-2026/paper.pdf"],[0,0.2457,0.9694,"179. The circulant Hadamard and Barker-sequence conjectures",6,"179-circulant-hadamard-barker-sequence-conjectures"],[1,0.2297,0.9063,"The circulant Hadamard conjecture",6,"https://github.com/openai/math/blob/main/preprints/The-circulant-Hadamard-conjecture-September-23-2026/paper.pdf"],[0,0.232,0.9727,"181. The Erdős–Gallai cycle-decomposition conjecture",6,"181-erdos-gallai-cycle-decomposition-conjecture"],[1,0.217,0.9095,"A linear cycle-and-edge decomposition of every graph",6,"https://github.com/openai/math/blob/main/preprints/A-linear-cycle-and-edge-decomposition-of-every-graph-September-24-2026/main.pdf"],[0,0.2184,0.9759,"185. Counterexamples to infinite matroid intersection and packing/covering",6,"185-counterexamples-infinite-matroid-intersection-packing"],[1,0.2042,0.9124,"A Counterexample to the Infinite Matroid Packing/Covering Conjecture",6,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-the-Infinite-Matroid-Packing-Covering-Conjecture-September-24-2026/paper.pdf"],[0,0.2047,0.9788,"187. Snaky in 21 Maker moves",6,"187-snaky-21-maker-moves"],[1,0.1914,0.9152,"Snaky in 21 Maker moves",6,"https://github.com/openai/math/blob/main/preprints/Snaky-in-21-Maker-moves-September-25-2026/article.pdf"],[0,0.1909,0.9816,"188. The sharp terminal leave in random triangle removal",6,"188-sharp-terminal-leave-random-triangle"],[1,0.1785,0.9178,"The sharp terminal leave in random triangle removal",6,"https://github.com/openai/math/blob/main/preprints/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026/The-Sharp-Terminal-Leave-in-Random-Triangle-Removal-September-25-2026.pdf"],[0,0.1772,0.9842,"189. Cycle–clique Ramsey numbers",6,"189-cycle-clique-ramsey-numbers"],[1,0.1657,0.9202,"Cycle--clique Ramsey numbers",6,"https://github.com/openai/math/blob/main/preprints/Cycle-clique-Ramsey-numbers-September-25-2026/Cycle-clique-Ramsey-numbers-September-25-2026.pdf"],[0,0.1634,0.9866,"190. Polynomial removal fails for ordered binary matrices",6,"190-polynomial-removal-fails-ordered-binary"],[1,0.1527,0.9224,"Polynomial removal fails for ordered binary matrices",6,"https://github.com/openai/math/blob/main/preprints/Polynomial-removal-fails-for-ordered-binary-matrices-September-25-2026/paper.pdf"],[0,0.1495,0.9888,"192. Boolean functions violate the square-root degree bound by arbitrary factors",6,"192-boolean-functions-violate-square-root"],[1,0.1398,0.9245,"Unbounded Violations of the Square-Root Degree Bound",6,"https://github.com/openai/math/blob/main/preprints/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026/Unbounded-Violations-of-the-Square-Root-Degree-Bound-September-26-2026.pdf"],[0,0.0732,0.9973,"193. Serre’s intersection-multiplicity conjecture",7,"193-serres-intersection-multiplicity-conjecture"],[1,0.0684,0.9325,"Positivity of Serre's Intersection Multiplicity",7,"https://github.com/openai/math/blob/main/preprints/Positivity-of-Serres-Intersection-Multiplicity-September-23-2026/paper.pdf"],[0,0.0592,0.9982,"194. Lech’s multiplicity conjecture",7,"194-lechs-multiplicity-conjecture"],[1,0.0553,0.9334,"Lech's multiplicity conjecture",7,"https://github.com/openai/math/blob/main/preprints/Lechs-multiplicity-conjecture-September-23-2026/paper.pdf"],[0,0.0452,0.999,"195. A counterexample to the small Cohen–Macaulay module conjecture",7,"195-counterexample-small-cohen-macaulay-module"],[1,0.0422,0.934,"A Complete Local Domain without a Small Cohen–Macaulay Module",7,"https://github.com/openai/math/blob/main/preprints/A-Complete-Local-Domain-Without-a-Small-Cohen-Macaulay-Module-September-23-2026/paper.pdf"],[0,0.0312,0.9995,"198. A counterexample to finitistic-dimension finiteness",7,"198-counterexample-finitistic-dimension-finiteness"],[1,0.0291,0.9345,"An algebra of infinite little finitistic dimension",7,"https://github.com/openai/math/blob/main/preprints/An-algebra-of-infinite-little-finitistic-dimension-September-23-2026/paper.pdf"],[0,0.0171,0.9999,"208. Finite symmetric tensor categories and the Verlinde tower",7,"208-finite-symmetric-tensor-categories-verlinde"],[1,0.016,0.9349,"Fiber functors for finite symmetric tensor categories in positive characteristic",7,"https://github.com/openai/math/blob/main/preprints/Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026/paper.pdf"],[0,0.0031,1.0,"209. Integral counterexamples to Gersten’s conjecture",7,"209-integral-counterexamples-gerstens-conjecture"],[1,0.0057,0.935,"An integral counterexample to Gersten's conjecture",7,"https://github.com/openai/math/blob/main/preprints/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026/An-Integral-Counterexample-to-Gerstens-Conjecture-September-25-2026.pdf"],[1,0.0001,0.921,"An integral degree-three Gersten counterexample",7,"https://github.com/openai/math/blob/main/preprints/An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026/paper.pdf"],[0,-0.0109,0.9999,"201. A counterexample to Kurosh’s division-ring problem",7,"201-counterexample-kuroshs-division-ring-problem"],[1,-0.0102,0.9349,"A Counterexample to Kurosh’s Division-Ring Problem",7,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Kuroshs-Division-Ring-Problem-September-23-2026/paper.pdf"],[0,-0.0249,0.9997,"196. A counterexample to Kaplansky’s zero-divisor conjecture",7,"196-counterexample-kaplanskys-zero-divisor-conjecture"],[1,-0.0233,0.9347,"A Torsion-Free Group Algebra with Zero Divisors",7,"https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Group-Algebra-with-Zero-Divisors-September-23-2026/paper.pdf"],[0,-0.0389,0.9992,"197. A torsion-free group algebra that is not directly finite",7,"197-torsion-free-group-algebra-not"],[1,-0.0322,0.9344,"A Torsion-Free Group Algebra That Is Not Directly Finite",7,"https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-Finite-October-4-2026/direct-finiteness.pdf"],[1,-0.0345,0.9204,"A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two",7,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Characteristic-Two-September-23-2026/paper.pdf"],[1,-0.0378,0.9342,"A Counterexample to the Group-Ring Determinant Conjecture",7,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-the-Group-Ring-Determinant-Conjecture-September-23-2026/paper.pdf"],[1,-0.04,0.9201,"A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Odd Characteristic",7,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Kaplanskys-Direct-Finiteness-Conjecture-in-Odd-Characteristic-September-26-2026/paper.pdf"],[0,-0.0529,0.9986,"200. Eisenbud–Green–Harris and lex-plus-powers",7,"200-eisenbud-green-harris-lex-plus"],[1,-0.0467,0.9338,"The Artinian Lex-Plus-Powers Betti Theorem",7,"https://github.com/openai/math/blob/main/preprints/The-Artinian-Lex-Plus-Powers-Betti-Theorem-September-23-2026/paper.pdf"],[1,-0.0515,0.9196,"Commuting Division-Coefficient Forms and the Artinian Eisenbud--Green--Harris Conjecture",7,"https://github.com/openai/math/blob/main/preprints/Commuting-Division-Coefficient-Forms-and-the-Artinian-Eisenbud-Green-Harris-Conjecture-September-23-2026/paper.pdf"],[0,-0.0669,0.9978,"204. Tensor saturation for even spin groups",7,"204-tensor-saturation-even-spin-groups"],[1,-0.0626,0.9329,"Tensor saturation for even spin groups",7,"https://github.com/openai/math/blob/main/preprints/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026/Tensor-Saturation-for-Even-Spin-Groups-September-24-2026.pdf"],[0,-0.0809,0.9967,"205. Saxl’s conjecture and universal tensor squares",7,"205-saxls-conjecture-universal-tensor-squares"],[1,-0.0729,0.9322,"Universal Tensor Squares for Symmetric Groups",7,"https://github.com/openai/math/blob/main/preprints/Universal-Tensor-Squares-for-Symmetric-Groups-September-24-2026/main.pdf"],[1,-0.0772,0.9178,"A Cyclic Polytabloid Proof of Saxl's Conjecture",7,"https://github.com/openai/math/blob/main/preprints/A-Cyclic-Polytabloid-Proof-of-Saxls-Conjecture-September-24-2026/paper.pdf"],[0,-0.0949,0.9955,"210. Foulkes' conjecture for sixth powers and quadratic stabilization",7,"210-foulkes-conjecture-sixth-powers-quadratic"],[1,-0.0859,0.931,"Foulkes' conjecture for the sixth symmetric power",7,"https://github.com/openai/math/blob/main/preprints/Foulkes-Conjecture-for-the-Sixth-Symmetric-Power-September-25-2026/main.pdf"],[1,-0.0901,0.9166,"Quadratic stabilization of the canonical Foulkes--Howe map",7,"https://github.com/openai/math/blob/main/preprints/Quadratic-Stabilization-of-the-Canonical-Foulkes-Howe-Map-September-25-2026/paper.pdf"],[0,-0.1088,0.9941,"199. Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures",7,"199-counterexamples-auslander-reiten-tachikawa-related"],[1,-0.099,0.9297,"An explicit counterexample to the Auslander-Reiten conjecture",7,"https://github.com/openai/math/blob/main/preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/paper.pdf"],[1,-0.1029,0.9152,"A counterexample to Tachikawa's second conjecture",7,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/paper.pdf"],[0,-0.1227,0.9924,"207. The ℓ¹-Bass conjecture for all discrete groups",7,"207-l1-bass-conjecture-all-discrete"],[1,-0.112,0.9283,"The ℓ¹-Bass Conjecture for Discrete Groups",7,"https://github.com/openai/math/blob/main/preprints/The-l1-Bass-Conjecture-for-Discrete-Groups-October-5-2026/l1-bass-conjecture.pdf"],[1,-0.1158,0.9137,"The Bass trace conjecture and the characteristic-zero Kaplansky idempotent conjecture",7,"https://github.com/openai/math/blob/main/preprints/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026/The-Bass-trace-conjecture-for-complex-group-rings-September-24-2026.pdf"],[0,-0.1366,0.9906,"202. The blockwise Alperin weight conjecture",7,"202-blockwise-alperin-weight-conjecture"],[1,-0.1278,0.9262,"The Blockwise Alperin Weight Conjecture",7,"https://github.com/openai/math/blob/main/preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026/paper.pdf"],[0,-0.1505,0.9886,"203. Donovan's conjecture over fields and complete mixed-characteristic DVRs",7,"203-donovans-conjecture-fields-complete-mixed"],[1,-0.138,0.9248,"Donovan's Conjecture over Algebraically Closed Fields",7,"https://github.com/openai/math/blob/main/preprints/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026/main.pdf"],[1,-0.1413,0.9101,"Integral Donovan Finiteness over Witt Vectors",7,"https://github.com/openai/math/blob/main/preprints/Integral-Donovan-Finiteness-over-Witt-Vectors-September-25-2026/main.pdf"],[0,-0.1644,0.9864,"206. Finite lattice representation and undecidability",7,"206-finite-lattice-representation-undecidability"],[1,-0.1509,0.9227,"Finite congruence lattices: characterization and undecidability",7,"https://github.com/openai/math/blob/main/preprints/Finite-Congruence-Lattices-Characterization-and-Undecidability-September-24-2026/paper.pdf"],[1,-0.1541,0.908,"A negative solution to the finite lattice representation problem",7,"https://github.com/openai/math/blob/main/preprints/A-Negative-Solution-to-the-Finite-Lattice-Representation-Problem-September-24-2026/paper.pdf"],[0,-0.2396,0.9709,"223. Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling",8,"223-random-cluster-interfaces-sle"],[1,-0.2195,0.9089,"Square-lattice FK interfaces and nested loops for 1 <= q < 4",8,"https://github.com/openai/math/blob/main/preprints/Square-lattice-FK-interfaces-and-nested-loops-for-1-leq-q-lt-4-September-23-2026/paper.pdf"],[1,-0.218,0.8948,"Self-dual random-cluster interfaces below one",8,"https://github.com/openai/math/blob/main/preprints/Self-dual-random-cluster-interfaces-below-one-September-23-2026/paper.pdf"],[1,-0.2231,0.908,"Quenched SLE Universality for Weakly Disordered FK–Ising Interfaces",8,"https://github.com/openai/math/blob/main/preprints/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026/quenched-fk-ising.pdf"],[1,-0.2216,0.894,"Thermal FK–Ising interfaces and massive SLE",8,"https://github.com/openai/math/blob/main/preprints/Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026/paper.pdf"],[1,-0.2267,0.9071,"Natural Occupation Measures for Critical Square-Lattice FK Interfaces",8,"https://github.com/openai/math/blob/main/preprints/Natural-Occupation-Measures-for-Critical-Square-Lattice-FK-Interfaces-October-5-2026/natural-occupation-measures-critical-square-lattice-fk-interfaces.pdf"],[1,-0.2251,0.8931,"Conformal Limits of Critical Square-Lattice Random-Cluster Interfaces",8,"https://github.com/openai/math/blob/main/preprints/Conformal-Limits-of-Critical-Square-Lattice-Random-Cluster-Interfaces-October-5-2026/paper.pdf"],[0,-0.2532,0.9674,"225. Gaussian free field limits throughout the balanced six-vertex regime",8,"225-six-vertex-gaussian-free-field"],[1,-0.2367,0.9045,"The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)",8,"https://github.com/openai/math/blob/main/preprints/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026/The-Gaussian-free-field-limit-of-the-balanced-six-vertex-model-with-variance-multiplier-1-over-arcsin-c-over-2-September-23-2026.pdf"],[0,-0.2667,0.9638,"232. Gaussian fields and interfaces for triangular-lattice Lipschitz heights",8,"232-lipschitz-heights-gff"],[1,-0.2458,0.9021,"Gaussian free-field limits of weighted integer Lipschitz heights",8,"https://github.com/openai/math/blob/main/preprints/Gaussian-free-field-limits-of-weighted-integer-Lipschitz-heights-October-6-2026/paper.pdf"],[1,-0.2457,0.8876,"The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data",8,"https://github.com/openai/math/blob/main/preprints/The-Gaussian-free-field-limit-of-integer-Lipschitz-heights-with-two-arc-boundary-data-October-6-2026/paper.pdf"],[1,-0.253,0.9001,"Uniform real Lipschitz surfaces on the triangular lattice",8,"https://github.com/openai/math/blob/main/preprints/Uniform-real-Lipschitz-surfaces-on-the-triangular-lattice-October-6-2026/paper.pdf"],[0,-0.2802,0.9599,"233. The joint critical Ashkin–Teller current limit",8,"233-ashkin-teller-current-limit"],[1,-0.262,0.8975,"The joint scaling limit of critical Ashkin-Teller currents",8,"https://github.com/openai/math/blob/main/preprints/The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026/main.pdf"],[0,-0.2936,0.9559,"215. Canonical O(3) continuum limit and exact O(4) mass asymptotics",8,"215-o3-continuum-o4-mass-asymptotics"],[1,-0.2703,0.8951,"The canonical massive continuum limit of the two-dimensional O(3) model",8,"https://github.com/openai/math/blob/main/preprints/The-canonical-massive-continuum-limit-of-the-two-dimensional-O3-model-October-4-2026/massive-continuum-o3.pdf"],[1,-0.2683,0.881,"An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field",8,"https://github.com/openai/math/blob/main/preprints/An-Isolated-Particle-Pole-for-the-Two-Dimensional-O3-Spin-Field-October-4-2026/o3-particle-pole.pdf"],[1,-0.2746,0.8938,"Exact mass asymptotics for the two-dimensional O(4) lattice model",8,"https://github.com/openai/math/blob/main/preprints/Exact-mass-asymptotics-for-the-two-dimensional-O4-lattice-model-October-5-2026/exact-mass-o4.pdf"],[1,-0.2725,0.8798,"Sharp mass bounds for the two-dimensional O(4) model",8,"https://github.com/openai/math/blob/main/preprints/Sharp-mass-bounds-for-the-two-dimensional-O4-model-September-23-2026/paper.pdf"],[1,-0.2788,0.8925,"Exponential decay in two-dimensional classical O(n) models",8,"https://github.com/openai/math/blob/main/preprints/Exponential-decay-in-two-dimensional-classical-On-models-September-23-2026/paper.pdf"],[0,-0.307,0.9517,"216. Critical and near-critical XY scaling and BKT universality",8,"216-xy-critical-scaling-bkt-universality"],[1,-0.2826,0.8913,"The critical logarithmic correction for the planar XY model",8,"https://github.com/openai/math/blob/main/preprints/The-critical-logarithmic-correction-for-the-planar-XY-model-October-5-2026/paper.pdf"],[1,-0.2801,0.8774,"Critical Center Magnetization in the Planar XY Model",8,"https://github.com/openai/math/blob/main/preprints/Critical-Center-Magnetization-in-the-Planar-XY-Model-October-5-2026/paper.pdf"],[1,-0.2862,0.8901,"The Critical Spin Field of the Planar XY Model",8,"https://github.com/openai/math/blob/main/preprints/The-Critical-Spin-Field-of-the-Planar-XY-Model-October-5-2026/paper.pdf"],[1,-0.2836,0.8762,"Essential Singularity of the Correlation Length in the Planar XY Model",8,"https://github.com/openai/math/blob/main/preprints/Essential-Singularity-of-the-Correlation-Length-in-the-Planar-XY-Model-October-5-2026/paper.pdf"],[1,-0.2897,0.889,"The critical correlation exponent of the planar XY model",8,"https://github.com/openai/math/blob/main/preprints/The-critical-correlation-exponent-of-the-planar-XY-model-September-24-2026/paper.pdf"],[1,-0.2871,0.8751,"BKT universality for height and planar spin fields",8,"https://github.com/openai/math/blob/main/preprints/BKT-universality-for-height-and-planar-spin-fields-September-24-2026/paper.pdf"],[0,-0.3203,0.9473,"238. Optimal logarithmic mixing of the Thorp shuffle",8,"238-thorp-shuffle-log-mixing"],[1,-0.2947,0.8874,"Optimal-order mixing of the Thorp shuffle",8,"https://github.com/openai/math/blob/main/preprints/Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026/paper.pdf"],[1,-0.2911,0.8738,"Random coordinate frames and partial permutation laws",8,"https://github.com/openai/math/blob/main/preprints/Random-coordinate-frames-and-partial-permutation-laws-September-26-2026/main.pdf"],[1,-0.2964,0.8868,"From partial permutation information to Fourier bounds",8,"https://github.com/openai/math/blob/main/preprints/From-partial-permutation-information-to-Fourier-bounds-September-26-2026/main.pdf"],[1,-0.2928,0.8732,"Conditional information under deterministic coordinate sweeps",8,"https://github.com/openai/math/blob/main/preprints/Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026/main.pdf"],[1,-0.2982,0.8862,"Conditional permutations in a revealed switching environment",8,"https://github.com/openai/math/blob/main/preprints/Conditional-permutations-in-a-revealed-switching-environment-September-26-2026/paper.pdf"],[1,-0.2946,0.8726,"Routing densities and representation contraction for Thorp sweeps",8,"https://github.com/openai/math/blob/main/preprints/Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026/paper.pdf"],[1,-0.2999,0.8856,"Row–column symmetry and contraction of coordinate sweeps",8,"https://github.com/openai/math/blob/main/preprints/Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026/paper.pdf"],[1,-0.2963,0.872,"Random-subspace tests and trace smoothing for coordinate sweeps",8,"https://github.com/openai/math/blob/main/preprints/Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026/paper.pdf"],[1,-0.3017,0.885,"Compatibility entropy and the spectrum of a Thorp sweep",8,"https://github.com/openai/math/blob/main/preprints/Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026/paper.pdf"],[1,-0.298,0.8714,"Signed tensor densities and diagram budgets for the Thorp shuffle",8,"https://github.com/openai/math/blob/main/preprints/Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026/paper.pdf"],[1,-0.3035,0.8844,"Conditional coordinate sweeps and analytic transfer",8,"https://github.com/openai/math/blob/main/preprints/Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026/main.pdf"],[1,-0.2998,0.8708,"A strict four-row permanent inequality and permutation moments",8,"https://github.com/openai/math/blob/main/preprints/A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026/main.pdf"],[0,-0.3336,0.9427,"231. The free uniform spanning forest is a factor of IID",8,"231-free-spanning-forest-factor-iid"],[1,-0.3119,0.8814,"The free uniform spanning forest is a factor of IID",8,"https://github.com/openai/math/blob/main/preprints/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026/The-free-uniform-spanning-forest-is-a-factor-of-IID-September-25-2026.pdf"],[0,-0.3468,0.938,"236. The exact factor-of-IID threshold for free Ising spins on trees",8,"236-free-ising-tree-factor-threshold"],[1,-0.3242,0.877,"The sharp factor-of-IID threshold for the free Ising model on regular trees",8,"https://github.com/openai/math/blob/main/preprints/The-sharp-factor-of-IID-threshold-for-the-free-Ising-model-on-regular-trees-September-26-2026/article.pdf"],[0,-0.3599,0.933,"229. Exact three- and four-state reconstruction thresholds and four-state tree capacity",8,"229-reconstruction-thresholds-trees"],[1,-0.333,0.8737,"The Reconstruction Threshold for the Ferromagnetic Four-State Potts Model",8,"https://github.com/openai/math/blob/main/preprints/The-Reconstruction-Threshold-for-the-Ferromagnetic-Four-State-Potts-Model-October-5-2026/four-state-potts.pdf"],[1,-0.3314,0.8593,"A Capacity Criterion for Four-State Potts Reconstruction on Trees",8,"https://github.com/openai/math/blob/main/preprints/A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026/four-state-capacity.pdf"],[1,-0.3399,0.871,"The exact reconstruction threshold for the three-state symmetric channel",8,"https://github.com/openai/math/blob/main/preprints/The-exact-reconstruction-threshold-for-the-three-state-symmetric-channel-September-25-2026/paper.pdf"],[0,-0.3729,0.9279,"211. The geometric phase diagram, diffusion, and spectra of random planar maps",8,"211-geometric-phase-diagram-diffusion-spectra"],[1,-0.3442,0.8693,"Random Walks on Critical FK–Ising Maps and Liouville Brownian Motion",8,"https://github.com/openai/math/blob/main/preprints/Random-Walks-on-Critical-FK-Ising-Maps-and-Liouville-Brownian-Motion-October-5-2026/fk-ising-walk-limit.pdf"],[1,-0.3405,0.8557,"Spectral convergence for critical FK–Ising planar maps",8,"https://github.com/openai/math/blob/main/preprints/Spectral-convergence-for-critical-FK-Ising-planar-maps-October-5-2026/spectral-convergence-critical-fk-ising-planar-maps.pdf"],[1,-0.3472,0.8681,"A Linear Clock for Random Walk on Tree-Weighted Planar Maps",8,"https://github.com/openai/math/blob/main/preprints/A-Linear-Clock-for-Random-Walk-on-Tree-Weighted-Planar-Maps-October-5-2026/linear-clock-random-walk-tree-weighted-planar-maps.pdf"],[1,-0.3434,0.8546,"Canonical conformal limits of subcritical FK planar maps",8,"https://github.com/openai/math/blob/main/preprints/Canonical-conformal-limits-of-subcritical-FK-planar-maps-September-24-2026/main.pdf"],[1,-0.3501,0.867,"The critical Liouville quantum sphere and geometric limits of FK maps at q=4",8,"https://github.com/openai/math/blob/main/preprints/The-critical-Liouville-quantum-sphere-and-geometric-limits-of-FK-maps-at-q-equals-4-September-24-2026/main.pdf"],[1,-0.3464,0.8534,"Metric-measure limits of subcritical FK and spanning-tree planar maps",8,"https://github.com/openai/math/blob/main/preprints/Metric-measure-limits-of-subcritical-FK-and-spanning-tree-planar-maps-September-24-2026/main.pdf"],[1,-0.3531,0.8658,"Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four",8,"https://github.com/openai/math/blob/main/preprints/Brownian-continuum-random-tree-limits-of-finite-Fortuin-Kasteleyn-maps-above-four-September-24-2026/main.pdf"],[0,-0.3859,0.9225,"218. Conformal universality for weakly interacting and random-bond Ising models",8,"218-ising-conformal-universality-random-bonds"],[1,-0.3565,0.8644,"Quenched SLE₃ limits for general weak random-bond Ising models",8,"https://github.com/openai/math/blob/main/preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf"],[1,-0.3529,0.8507,"Quenched SLE₃ Universality for the Weak Random-Bond Ising Model",8,"https://github.com/openai/math/blob/main/preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf"],[1,-0.3599,0.8629,"Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model",8,"https://github.com/openai/math/blob/main/preprints/Logarithmic-Relative-Fluctuations-in-the-Weakly-Disordered-Planar-Ising-Model-October-5-2026/critical-relative-second-moment-weak-random-bond-ising.pdf"],[1,-0.3562,0.8493,"Conformal universality of bulk Ising correlations under weak interactions",8,"https://github.com/openai/math/blob/main/preprints/Conformal-universality-of-bulk-Ising-correlations-under-weak-interactions-September-23-2026/paper.pdf"],[1,-0.3634,0.8615,"SLE3 universality for weak finite-range Ising interactions",8,"https://github.com/openai/math/blob/main/preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf"],[1,-0.3596,0.8479,"Buffered comparison and stopping-band resolution in critical Ising",8,"https://github.com/openai/math/blob/main/preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf"],[0,-0.3988,0.917,"224. Critical and quenched near-critical universality for Poisson–Voronoi percolation",8,"224-voronoi-percolation-cardy"],[1,-0.3694,0.8589,"From critical crossings to quenched near-critical universality in Voronoi percolation",8,"https://github.com/openai/math/blob/main/preprints/From-critical-crossings-to-quenched-near-critical-universality-in-Voronoi-percolation-October-5-2026/critical-crossings-quenched-near-critical-universality-voronoi-percolation.pdf"],[1,-0.3673,0.8446,"A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula",8,"https://github.com/openai/math/blob/main/preprints/A-Pivotal-Amplitude-for-Voronoi-Percolation-from-Cardys-Formula-October-5-2026/voronoi-pivotal-amplitude.pdf"],[1,-0.3763,0.856,"Cardy’s formula for critical Poisson–Voronoi percolation",8,"https://github.com/openai/math/blob/main/preprints/Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026/paper.pdf"],[0,-0.4116,0.9114,"230. Exact Hausdorff gauges for SLE",8,"230-sle-exact-hausdorff-gauge"],[1,-0.3823,0.8533,"An exact Hausdorff gauge for SLE",8,"https://github.com/openai/math/blob/main/preprints/An-exact-Hausdorff-gauge-for-SLE-September-25-2026/An-exact-Hausdorff-gauge-for-SLE-September-25-2026.pdf"],[1,-0.3816,0.8382,"An explicit exact Hausdorff gauge for SLE",8,"https://github.com/openai/math/blob/main/preprints/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026/An-explicit-exact-Hausdorff-gauge-for-SLE-September-26-2026.pdf"],[0,-0.4243,0.9055,"237. The three-quarter exponent for honeycomb self-avoiding walk",8,"237-honeycomb-saw-three-quarter"],[1,-0.3921,0.8488,"Radial transfer estimates and polygon length laws for honeycomb walks",8,"https://github.com/openai/math/blob/main/preprints/Radial-transfer-estimates-and-polygon-length-laws-for-honeycomb-walks-September-26-2026/main.pdf"],[1,-0.387,0.8358,"Critical honeycomb chords with prescribed boundary endpoints",8,"https://github.com/openai/math/blob/main/preprints/Critical-honeycomb-chords-with-prescribed-boundary-endpoints-September-26-2026/main.pdf"],[1,-0.3936,0.8481,"Cylinder loop weights and planar nesting",8,"https://github.com/openai/math/blob/main/preprints/Cylinder-loop-weights-and-planar-nesting-September-26-2026/main.pdf"],[1,-0.3885,0.835,"Mass and covering exponents for fixed-length honeycomb walks",8,"https://github.com/openai/math/blob/main/preprints/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026/main.pdf"],[1,-0.3952,0.8474,"Signed cylinder propagation and marked polygons on the honeycomb lattice",8,"https://github.com/openai/math/blob/main/preprints/Signed-cylinder-propagation-and-marked-polygons-on-the-honeycomb-lattice-September-26-2026/main.pdf"],[1,-0.39,0.8343,"Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice",8,"https://github.com/openai/math/blob/main/preprints/Cylinder-amplitudes-and-logarithmic-bridge-length-windows-on-the-honeycomb-lattice-September-26-2026/main.pdf"],[1,-0.3967,0.8467,"Marked polygon correlations and one-arc bounds",8,"https://github.com/openai/math/blob/main/preprints/Marked-polygon-correlations-and-one-arc-bounds-September-26-2026/main.pdf"],[1,-0.3916,0.8336,"Disk transfer representations and confined bridge mass",8,"https://github.com/openai/math/blob/main/preprints/Disk-transfer-representations-and-confined-bridge-mass-September-26-2026/main.pdf"],[1,-0.3983,0.8459,"Polynomial vacuum representations and bridge mass for honeycomb walks",8,"https://github.com/openai/math/blob/main/preprints/Polynomial-vacuum-representations-and-bridge-mass-for-honeycomb-walks-September-26-2026/main.pdf"],[1,-0.3931,0.8329,"Renewal and changes of law for critical honeycomb walks",8,"https://github.com/openai/math/blob/main/preprints/Renewal-and-changes-of-law-for-critical-honeycomb-walks-September-26-2026/main.pdf"],[1,-0.3998,0.8452,"Critical strip-crossing mass on the honeycomb lattice",8,"https://github.com/openai/math/blob/main/preprints/Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026/main.pdf"],[1,-0.3946,0.8322,"Uniform marked-polygon estimates and sharp finite bridge moments",8,"https://github.com/openai/math/blob/main/preprints/Uniform-marked-polygon-estimates-and-sharp-finite-bridge-moments-September-26-2026/main.pdf"],[1,-0.4014,0.8445,"Cap-selected amplitudes and triangle chords for honeycomb walks",8,"https://github.com/openai/math/blob/main/preprints/Cap-selected-amplitudes-and-triangle-chords-for-honeycomb-walks-September-26-2026/main.pdf"],[0,-0.437,0.8995,"212. Planar first-passage geometry and the absence of bigeodesics",8,"212-planar-first-passage-geometry-absence"],[1,-0.4061,0.8422,"No bigeodesics in planar first-passage percolation",8,"https://github.com/openai/math/blob/main/preprints/No-bigeodesics-in-planar-first-passage-percolation-September-24-2026/main.pdf"],[1,-0.4049,0.8272,"Strict convexity and differentiability of the planar exponential first-passage limit shape",8,"https://github.com/openai/math/blob/main/preprints/Strict-convexity-and-differentiability-of-the-planar-exponential-first-passage-limit-shape-September-24-2026/main.pdf"],[0,-0.4495,0.8933,"235. Limiting random SAT thresholds, sharp variance and computability",8,"235-random-sat-thresholds"],[1,-0.4166,0.8371,"A Limiting Satisfiability Threshold for Every Fixed Clause Size",8,"https://github.com/openai/math/blob/main/preprints/A-Limiting-Satisfiability-Threshold-for-Every-Fixed-Clause-Size-September-25-2026/article.pdf"],[1,-0.4128,0.8233,"Linear Variance of the Random 3-SAT Hitting Time",8,"https://github.com/openai/math/blob/main/preprints/Linear-Variance-of-the-Random-3-SAT-Hitting-Time-October-5-2026/linear-variance-of-the-random-3-sat-hitting-time.pdf"],[1,-0.4216,0.8346,"Variance of the Random k-SAT Hitting Time",8,"https://github.com/openai/math/blob/main/preprints/Variance-of-the-Random-k-SAT-Hitting-Time-September-27-2026/article.pdf"],[1,-0.4177,0.8208,"Computing the Random 3-SAT Threshold",8,"https://github.com/openai/math/blob/main/preprints/Computing-the-Random-3-SAT-Threshold-September-27-2026/article.pdf"],[0,-0.462,0.8869,"221. The Mézard–Parisi formula for diluted spin glasses",8,"221-mezard-parisi-diluted-spin-glasses"],[1,-0.432,0.8292,"The Mézard–Parisi formula for diluted spin glasses",8,"https://github.com/openai/math/blob/main/preprints/The-Mezard-Parisi-formula-for-diluted-spin-glasses-September-23-2026/paper.pdf"],[0,-0.4744,0.8803,"234. All-temperature pressure of orthogonally invariant Ising spin glasses",8,"234-orthogonal-ising-spin-glass-pressure"],[1,-0.4436,0.8231,"All-temperature pressure for orthogonally invariant Ising spin glasses",8,"https://github.com/openai/math/blob/main/preprints/All-temperature-pressure-for-orthogonally-invariant-Ising-spin-glasses-September-25-2026/paper.pdf"],[0,-0.4867,0.8736,"222. Perceptron free energies and microscopic jamming exponents",8,"222-perceptron-free-energies-jamming"],[1,-0.4514,0.8188,"The free energy of the Ising random perceptron",8,"https://github.com/openai/math/blob/main/preprints/The-free-energy-of-the-Ising-random-perceptron-September-24-2026/The-free-energy-of-the-Ising-random-perceptron-September-24-2026.pdf"],[1,-0.4471,0.8052,"Microscopic jamming in the negative spherical perceptron",8,"https://github.com/openai/math/blob/main/preprints/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026/Microscopic-jamming-in-the-negative-spherical-perceptron-September-24-2026.pdf"],[1,-0.4563,0.8161,"The spherical perceptron with bi-orthogonally invariant disorder",8,"https://github.com/openai/math/blob/main/preprints/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026/The-spherical-perceptron-with-bi-orthogonally-invariant-disorder-September-24-2026.pdf"],[1,-0.4518,0.8025,"The free energy of the spherical random perceptron",8,"https://github.com/openai/math/blob/main/preprints/The-free-energy-of-the-spherical-random-perceptron-September-24-2026/The-free-energy-of-the-spherical-random-perceptron-September-24-2026.pdf"],[0,-0.4989,0.8667,"217. The low-temperature Sherrington–Kirkpatrick fluctuation law",8,"217-sherrington-kirkpatrick-fluctuation-law"],[1,-0.4641,0.8117,"The low-temperature Sherrington–Kirkpatrick free-energy limiting law",8,"https://github.com/openai/math/blob/main/preprints/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026.pdf"],[1,-0.4619,0.7968,"The low-temperature Sherrington–Kirkpatrick fluctuation scale",8,"https://github.com/openai/math/blob/main/preprints/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-fluctuation-scale-September-24-2026.pdf"],[0,-0.511,0.8596,"227. Critical SK autocorrelation processes and dynamics across the temperature transition",8,"227-sk-glauber-dynamics"],[1,-0.4736,0.8062,"Universality of critical quench autocorrelations in the Sherrington–Kirkpatrick model",8,"https://github.com/openai/math/blob/main/preprints/Universality-of-critical-quench-autocorrelations-in-the-Sherrington-Kirkpatrick-model-October-5-2026/main.pdf"],[1,-0.4677,0.7934,"Functional universality of critical SK autocorrelations",8,"https://github.com/openai/math/blob/main/preprints/Functional-universality-of-critical-SK-autocorrelations-October-5-2026/critical-sk-autocorrelations.pdf"],[1,-0.476,0.8048,"A spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase",8,"https://github.com/openai/math/blob/main/preprints/A-spectral-gap-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/main.pdf"],[1,-0.47,0.792,"Cutoff throughout the high-temperature Sherrington–Kirkpatrick phase",8,"https://github.com/openai/math/blob/main/preprints/Cutoff-throughout-the-high-temperature-Sherrington-Kirkpatrick-phase-September-24-2026/paper.pdf"],[1,-0.4784,0.8034,"Critical slowing down in the Sherrington–Kirkpatrick model",8,"https://github.com/openai/math/blob/main/preprints/Critical-slowing-down-in-the-Sherrington-Kirkpatrick-model-September-24-2026/paper.pdf"],[1,-0.4724,0.7906,"Stretched-exponential barriers for typical SK initial states",8,"https://github.com/openai/math/blob/main/preprints/Stretched-exponential-barriers-for-typical-SK-initial-states-September-24-2026/paper.pdf"],[1,-0.4808,0.8019,"A typical-start upper bound for low-temperature SK Glauber dynamics",8,"https://github.com/openai/math/blob/main/preprints/A-typical-start-upper-bound-for-low-temperature-SK-Glauber-dynamics-September-24-2026/paper.pdf"],[1,-0.4748,0.7892,"Critical mixing in the Sherrington–Kirkpatrick model",8,"https://github.com/openai/math/blob/main/preprints/Critical-mixing-in-the-Sherrington-Kirkpatrick-model-September-25-2026/paper.pdf"],[0,-0.523,0.8523,"239. Sharp singularity rates for symmetric random sign matrices",8,"239-symmetric-sign-matrix-singularity"],[1,-0.4866,0.7984,"The sharp exponential rate of singularity for symmetric Bernoulli matrices",8,"https://github.com/openai/math/blob/main/preprints/The-sharp-exponential-rate-of-singularity-for-symmetric-Bernoulli-matrices-October-3-2026/symmetric-bernoulli-singularity.pdf"],[1,-0.484,0.7836,"The sharp singularity rate for biased symmetric sign matrices",8,"https://github.com/openai/math/blob/main/preprints/The-sharp-singularity-rate-for-biased-symmetric-sign-matrices-October-4-2026/biased-symmetric-sign-singularity.pdf"],[0,-0.5349,0.8449,"213. Critical percolation on every quasi-transitive graph",8,"213-critical-percolation-quasi-transitive"],[1,-0.4978,0.7915,"Critical bond and site percolation on the cubic lattice",8,"https://github.com/openai/math/blob/main/preprints/Critical-bond-and-site-percolation-on-the-cubic-lattice-September-24-2026/paper.pdf"],[1,-0.495,0.7767,"No percolation at criticality on quasi-transitive graphs",8,"https://github.com/openai/math/blob/main/preprints/No-percolation-at-criticality-on-quasi-transitive-graphs-September-24-2026/paper.pdf"],[0,-0.5467,0.8373,"214. The Benjamini–Schramm nonuniqueness conjecture",8,"214-percolation-nonuniqueness-operator-bound"],[1,-0.5112,0.7829,"Nonuniqueness of percolation on nonamenable quasi-transitive graphs",8,"https://github.com/openai/math/blob/main/preprints/Nonuniqueness-of-percolation-on-nonamenable-quasi-transitive-graphs-September-24-2026/paper.pdf"],[0,-0.5584,0.8296,"219. GOE bulk universality for regular graphs with weak Anderson disorder",8,"219-goe-bulk-universality-regular-graphs"],[1,-0.5198,0.7772,"Fixed-energy universality for weak Anderson disorder on random regular graphs",8,"https://github.com/openai/math/blob/main/preprints/Fixed-energy-universality-for-weak-Anderson-disorder-on-random-regular-graphs-October-5-2026/fixed-energy-universality-weak-anderson-disorder-random-regular-graphs.pdf"],[1,-0.5165,0.7625,"GOE bulk universality for fixed-degree random regular graphs",8,"https://github.com/openai/math/blob/main/preprints/GOE-bulk-universality-for-fixed-degree-random-regular-graphs-September-23-2026/paper.pdf"],[0,-0.57,0.8217,"220. Directional zero–one laws beyond iid environments and iid ballisticity",8,"220-rwre-zero-one-ballisticity"],[1,-0.5298,0.7704,"A directional zero–one law for finite-range-dependent random environments",8,"https://github.com/openai/math/blob/main/preprints/A-directional-zero-one-law-for-finite-range-dependent-random-environments-October-5-2026/directional-zero-one-finite-range.pdf"],[1,-0.5249,0.7568,"A directional zero–one law under strict ellipticity",8,"https://github.com/openai/math/blob/main/preprints/A-directional-zero-one-law-under-strict-ellipticity-September-23-2026/paper.pdf"],[1,-0.536,0.7661,"Directional transience implies ballisticity",8,"https://github.com/openai/math/blob/main/preprints/Directional-transience-implies-ballisticity-September-23-2026/paper.pdf"],[0,-0.5814,0.8136,"226. The double-dimer loop ensemble converges to CLE₄",8,"226-double-dimer-cle4"],[1,-0.5436,0.7607,"The curve scaling limit of half-plane double dimers",8,"https://github.com/openai/math/blob/main/preprints/The-curve-scaling-limit-of-half-plane-double-dimers-September-23-2026/paper.pdf"],[0,-0.5928,0.8054,"228. Continuum phase transitions for radial pair potentials",8,"228-continuum-phase-transition-pair-potential"],[1,-0.552,0.7547,"A continuum temperature singularity for a radial pair potential",8,"https://github.com/openai/math/blob/main/preprints/A-continuum-temperature-singularity-for-a-radial-pair-potential-September-24-2026/paper.pdf"],[1,-0.5481,0.7401,"A radial continuum phase transition with algebraic decay",8,"https://github.com/openai/math/blob/main/preprints/A-radial-continuum-phase-transition-with-algebraic-decay-September-24-2026/paper.pdf"],[0,-0.6528,0.7575,"240. Shelah's eventual categoricity and the prescribed-threshold obstruction",9,"240-eventual-categoricity-aec"],[1,-0.6083,0.7101,"A CH obstruction to a prescribed categoricity threshold",9,"https://github.com/openai/math/blob/main/preprints/A-CH-Obstruction-to-a-Prescribed-Categoricity-Threshold-September-24-2026/paper.pdf"],[1,-0.6033,0.6959,"Eventual categoricity for abstract elementary classes",9,"https://github.com/openai/math/blob/main/preprints/Eventual-Categoricity-for-Abstract-Elementary-Classes-September-24-2026/paper.pdf"],[0,-0.6634,0.7483,"241. Rigidity of the Turing degrees",9,"241-turing-degrees-rigidity"],[1,-0.6203,0.6996,"Rigidity of the Turing degrees",9,"https://github.com/openai/math/blob/main/preprints/Rigidity-of-the-Turing-degrees-September-24-2026/paper.pdf"],[0,-0.6738,0.7389,"242. Single-fold Diophantine representations and undecidability under an at-most-one-solution promise",9,"242-single-fold-diophantine"],[1,-0.63,0.6909,"Single-fold Diophantine representations",9,"https://github.com/openai/math/blob/main/preprints/Single-fold-Diophantine-representations-September-24-2026/paper.pdf"],[0,-0.6841,0.7294,"243. Separating choiceless counting from polynomial time and witnessed choice",9,"243-choiceless-polynomial-time"],[1,-0.6376,0.6839,"Choiceless polynomial time with counting does not capture polynomial time",9,"https://github.com/openai/math/blob/main/preprints/Choiceless-polynomial-time-with-counting-does-not-capture-polynomial-time-September-23-2026/paper.pdf"],[1,-0.6321,0.6699,"Witnessed symmetric choice is strictly stronger than choiceless polynomial time with counting",9,"https://github.com/openai/math/blob/main/preprints/Witnessed-symmetric-choice-is-strictly-stronger-than-choiceless-polynomial-time-with-counting-September-24-2026/paper.pdf"],[0,-0.6943,0.7197,"244. The Partition Principle does not imply Choice",9,"244-partition-principle-not-choice"],[1,-0.6491,0.6729,"The Partition Principle does not imply Choice",9,"https://github.com/openai/math/blob/main/preprints/The-Partition-Principle-does-not-imply-Choice-September-24-2026/partition-principle-without-choice.pdf"],[0,-0.7043,0.7099,"245. Weak normalization implies strong normalization in pure type systems",9,"245-wn-implies-sn-pure-type-systems"],[1,-0.6585,0.6638,"Weak and strong normalization in pure type systems",9,"https://github.com/openai/math/blob/main/preprints/Weak-and-strong-normalization-in-pure-type-systems-September-25-2026/paper.pdf"],[0,-0.7567,0.6537,"252. A torsion-free hyperbolic group that is neither residually finite nor linear over any field",10,"252-non-residually-finite-hyperbolic-group"],[1,-0.7075,0.6112,"A torsion-free hyperbolic group that is not residually finite",10,"https://github.com/openai/math/blob/main/preprints/a-torsion-free-hyperbolic-group-that-is-not-residually-finite-September-23-2026/paper.pdf"],[0,-0.7658,0.6431,"257. A hyperbolic group without a geometric CAT(0) action",10,"257-hyperbolic-group-not-cat0"],[1,-0.716,0.6013,"A hyperbolic group with no geometric CAT(0) action",10,"https://github.com/openai/math/blob/main/preprints/A-hyperbolic-group-with-no-geometric-CAT0-action-September-25-2026/paper.pdf"],[0,-0.7747,0.6323,"249. A finitely generated Eilenberg–Ganea counterexample",10,"249-eilenberg-ganea-counterexample"],[1,-0.7244,0.5912,"A finitely generated counterexample to the Eilenberg–Ganea conjecture",10,"https://github.com/openai/math/blob/main/preprints/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026/paper.pdf"],[0,-0.7835,0.6213,"256. Nonsingular systems of equations over arbitrary groups",10,"256-kervaire-howie-conjectures"],[1,-0.7309,0.5831,"Nonsingular systems of equations over arbitrary groups",10,"https://github.com/openai/math/blob/main/preprints/Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026/nonsingular-systems-over-arbitrary-groups.pdf"],[1,-0.7233,0.5701,"The Kervaire theorem for groups",10,"https://github.com/openai/math/blob/main/preprints/The-Kervaire-Theorem-for-Groups-September-24-2026/The-Kervaire-Theorem-for-Groups-September-24-2026.pdf"],[0,-0.7922,0.6103,"250. Boone–Higman embeddings with higher finiteness",10,"250-boone-higman-conjecture"],[1,-0.7384,0.5736,"Finite algebraic envelopes and the Boone–Higman conjecture",10,"https://github.com/openai/math/blob/main/preprints/Finite-algebraic-envelopes-and-the-Boone-Higman-conjecture-September-23-2026/paper.pdf"],[1,-0.7296,0.5621,"Simple F∞ overgroups of groups with decidable word problem",10,"https://github.com/openai/math/blob/main/preprints/Simple-F-infinity-overgroups-of-groups-with-decidable-word-problem-September-23-2026/paper.pdf"],[1,-0.7429,0.5677,"A universal group of type F∞",10,"https://github.com/openai/math/blob/main/preprints/A-universal-group-of-type-F-infinity-September-23-2026/paper.pdf"],[0,-0.8006,0.5991,"247. An infinite finitely presented residually finite 2-group and a finitely presented nil algebra",10,"247-finitely-presented-periodic-group"],[1,-0.7469,0.5624,"An infinite finitely presented residually finite 2-group",10,"https://github.com/openai/math/blob/main/preprints/An-infinite-finitely-presented-residually-finite-2-group-October-5-2026/residually-finite-torsion.pdf"],[1,-0.739,0.5496,"An infinite finitely presented periodic group",10,"https://github.com/openai/math/blob/main/preprints/An-infinite-finitely-presented-periodic-group-September-23-2026/paper.pdf"],[0,-0.809,0.5879,"246. Cannon's conjecture",10,"246-cannon-conjecture"],[1,-0.7564,0.5496,"A Modulus Proof of Cannon’s Conjecture",10,"https://github.com/openai/math/blob/main/preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026/paper.pdf"],[0,-0.8171,0.5765,"258. Gersten’s conjecture and virtual compact specialness of one-relator groups",10,"258-gersten-one-relator-hyperbolic"],[1,-0.7624,0.5413,"Baumslag-Solitar-free one-relator groups are hyperbolic",10,"https://github.com/openai/math/blob/main/preprints/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026/paper.pdf"],[1,-0.7542,0.5287,"Virtual compact specialness of hyperbolic one-relator groups",10,"https://github.com/openai/math/blob/main/preprints/Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026/paper.pdf"],[0,-0.8251,0.5649,"254. Classifying spaces and geometric obstructions for Artin groups",10,"254-artin-groups-kpi1"],[1,-0.7694,0.5313,"Harmonic heights and the Artin K(pi,1) conjecture",10,"https://github.com/openai/math/blob/main/preprints/Harmonic-heights-and-the-Artin-K-pi-1-conjecture-September-23-2026/paper.pdf"],[1,-0.7599,0.5203,"An Artin group with no geometric CAT(0) action",10,"https://github.com/openai/math/blob/main/preprints/An-Artin-group-with-no-geometric-CAT-0-action-September-23-2026/paper.pdf"],[1,-0.7736,0.5252,"Parabolic intersections in Artin groups",10,"https://github.com/openai/math/blob/main/preprints/Parabolic-intersections-in-Artin-groups-September-23-2026/paper.pdf"],[0,-0.833,0.5533,"248. Thompson's group F is nonamenable",10,"248-thompson-group-f-nonamenable"],[1,-0.7788,0.5174,"Thompson's group F is nonamenable",10,"https://github.com/openai/math/blob/main/preprints/Thompsons-group-F-is-nonamenable-September-23-2026/paper.pdf"],[0,-0.8406,0.5416,"251. Amenability, unitarizability, and strong Ulam stability",10,"251-dixmier-unitarizability-ulam"],[1,-0.7845,0.5087,"Unitarizability implies amenability for discrete groups",10,"https://github.com/openai/math/blob/main/preprints/Unitarizability-Implies-Amenability-for-Countable-Groups-September-23-2026/paper.pdf"],[1,-0.7757,0.4965,"Strong Ulam Stability Characterizes Amenability",10,"https://github.com/openai/math/blob/main/preprints/Strong-Ulam-Stability-Characterizes-Amenability-October-5-2026/strong-ulam-stability.pdf"],[0,-0.8482,0.5298,"253. An infinite finitely presented simple amenable group",10,"253-finitely-presented-simple-amenable-group"],[1,-0.793,0.4953,"An infinite finitely presented simple amenable group",10,"https://github.com/openai/math/blob/main/preprints/An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026/paper.pdf"],[0,-0.8555,0.5178,"255. Quasi-isometric recognition of virtually polycyclic groups",10,"255-virtually-polycyclic-qi-recognition"],[1,-0.7999,0.4842,"Quasi-isometric recognition of virtually polycyclic groups",10,"https://github.com/openai/math/blob/main/preprints/quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026/paper.pdf"],[0,-0.8627,0.5058,"259. A group without fixed price",10,"259-group-without-fixed-price"],[1,-0.8066,0.4729,"A group without fixed price",10,"https://github.com/openai/math/blob/main/preprints/A-group-without-fixed-price-October-5-2026/unequal-costs-rank-100-amalgam.pdf"],[0,-0.899,0.438,"271. Bloch's law, its lattice correction, and the spherical magnetization law",11,"271-blochs-law"],[1,-0.8387,0.4133,"Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions",11,"https://github.com/openai/math/blob/main/preprints/Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026/bloch-law-heisenberg.pdf"],[1,-0.8273,0.4047,"The first lattice correction to Bloch's law",11,"https://github.com/openai/math/blob/main/preprints/The-first-lattice-correction-to-Blochs-law-October-5-2026/first-lattice-correction-bloch-law.pdf"],[1,-0.8411,0.4083,"The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet",11,"https://github.com/openai/math/blob/main/preprints/The-spherical-magnetization-law-for-the-three-dimensional-quantum-Heisenberg-ferromagnet-October-5-2026/spherical-magnetization.pdf"],[1,-0.8297,0.3997,"Spontaneous magnetization in the quantum Heisenberg ferromagnet",11,"https://github.com/openai/math/blob/main/preprints/Spontaneous-magnetization-in-the-quantum-Heisenberg-ferromagnet-September-24-2026/paper.pdf"],[0,-0.905,0.4254,"261. Localization and delocalization in the Anderson model",11,"261-anderson-localization-delocalization"],[1,-0.845,0.4003,"Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three",11,"https://github.com/openai/math/blob/main/preprints/Absolutely-Continuous-Spectrum-for-Weak-Disorder-Anderson-Models-in-Dimensions-at-Least-Three-September-23-2026/paper.pdf"],[1,-0.8347,0.3893,"Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder",11,"https://github.com/openai/math/blob/main/preprints/Pure-Point-Spectrum-for-the-Two-Dimensional-Anderson-Model-at-Every-Positive-Disorder-September-23-2026/paper.pdf"],[0,-0.9109,0.4127,"275. QMA-hardness of continuum Coulomb energy",11,"275-coulomb-qma-hard"],[1,-0.8505,0.3884,"Continuum Coulomb hardness with binary nuclear charges",11,"https://github.com/openai/math/blob/main/preprints/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026/Continuum-Coulomb-hardness-with-binary-nuclear-charges-September-24-2026.pdf"],[1,-0.8401,0.3776,"QMA-hardness of continuum Coulomb energy with unit nuclear charges",11,"https://github.com/openai/math/blob/main/preprints/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026/QMA-hardness-of-continuum-Coulomb-energy-with-unit-nuclear-charges-September-24-2026.pdf"],[0,-0.9166,0.3999,"270. Threshold and positive-energy bound states of the BFSS matrix model",11,"270-bfss-bound-states"],[1,-0.8559,0.3764,"The unique threshold bound state of the SU(N) BFSS model",11,"https://github.com/openai/math/blob/main/preprints/The-unique-threshold-bound-state-of-the-SU-N-BFSS-model-September-24-2026/paper.pdf"],[1,-0.8453,0.3658,"Positive eigenvalues of the relative SU(2) BFSS Hamiltonian",11,"https://github.com/openai/math/blob/main/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026/positive-eigenvalues-relative-su2-bfss.pdf"],[0,-0.9221,0.387,"278. Failure of Kohn–Sham ensemble representation",11,"278-kohn-sham-counterexample"],[1,-0.8622,0.3618,"A Coulomb ground-state density without Kohn-Sham ensemble representation",11,"https://github.com/openai/math/blob/main/preprints/A-Coulomb-Ground-State-Density-without-Kohn-Sham-Ensemble-Representation-September-25-2026/paper.pdf"],[0,-0.9274,0.374,"267. Positive-temperature Bose–Einstein condensation and exact quantum depletion",11,"267-bose-einstein-condensation"],[1,-0.8655,0.3538,"Bose–Einstein condensation at positive temperature in the dilute hard-sphere gas",11,"https://github.com/openai/math/blob/main/preprints/Bose-Einstein-condensation-at-positive-temperature-in-the-dilute-hard-sphere-gas-October-5-2026/positive-temperature-hard-spheres.pdf"],[1,-0.8533,0.3465,"Quantum Depletion and Momentum Distribution in the Dilute Hard-Sphere Bose Gas",11,"https://github.com/openai/math/blob/main/preprints/Quantum-Depletion-and-Momentum-Distribution-in-the-Dilute-Hard-Sphere-Bose-Gas-October-5-2026/Quantum-Depletion-in-the-Dilute-Hard-Sphere-Bose-Gas.pdf"],[1,-0.8671,0.3497,"Quantum Depletion for Fixed Bounded Repulsive Potentials",11,"https://github.com/openai/math/blob/main/preprints/Quantum-Depletion-for-Fixed-Bounded-Repulsive-Potentials-October-5-2026/fixed-repulsion-quantum-depletion.pdf"],[1,-0.855,0.3424,"A density-uniform condensate bound for dilute Bose gases",11,"https://github.com/openai/math/blob/main/preprints/A-density-uniform-condensate-bound-for-dilute-Bose-gases-September-27-2026/paper.pdf"],[1,-0.8688,0.3456,"Ground-state condensation in the dilute hard-sphere gas",11,"https://github.com/openai/math/blob/main/preprints/Ground-state-condensation-in-the-dilute-hard-sphere-gas-September-24-2026/paper.pdf"],[0,-0.9326,0.361,"263. The ionization and generalized ionization conjectures",11,"263-ionization-conjecture"],[1,-0.8706,0.341,"Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms",11,"https://github.com/openai/math/blob/main/preprints/Uniform-excess-charge-for-Coulomb-molecules-and-the-outer-radius-of-neutral-atoms-September-24-2026/paper.pdf"],[1,-0.8589,0.3325,"Generalized ionization energies for full Coulomb atoms",11,"https://github.com/openai/math/blob/main/preprints/Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026/paper.pdf"],[1,-0.8733,0.334,"Generalized outer-electron radii of neutral Coulomb atoms",11,"https://github.com/openai/math/blob/main/preprints/Generalized-outer-electron-radii-of-neutral-Coulomb-atoms-September-24-2026/paper.pdf"],[0,-0.9375,0.3479,"262. Sharp finite-matrix Lieb–Thirring inequalities and all equality cases",11,"262-lieb-thirring-sharp-matrix"],[1,-0.8753,0.3287,"Equality cases in the sharp one-dimensional matrix Lieb–Thirring inequality",11,"https://github.com/openai/math/blob/main/preprints/Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026/sharp-one-dimensional-lieb-thirring-inequalities-matrix-potentials.pdf"],[1,-0.8635,0.3204,"Sharp one-dimensional Lieb–Thirring inequalities for matrix potentials",11,"https://github.com/openai/math/blob/main/preprints/Sharp-one-dimensional-Lieb-Thirring-inequalities-for-matrix-potentials-October-5-2026/sharp-matrix-lieb-thirring.pdf"],[1,-0.8779,0.3218,"Sharp one-dimensional Lieb–Thirring constants",11,"https://github.com/openai/math/blob/main/preprints/Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026/paper.pdf"],[0,-0.9423,0.3347,"260. Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions",11,"260-spacetime-penrose-inequality"],[1,-0.8793,0.3178,"The spacetime Penrose inequality with charge and original-data rigidity",11,"https://github.com/openai/math/blob/main/preprints/The-spacetime-Penrose-inequality-with-charge-and-original-data-rigidity-October-5-2026/paper.pdf"],[1,-0.8665,0.3122,"A Charged Reduction of the Spacetime Penrose Inequality in Spatial Dimensions at Least Four",11,"https://github.com/openai/math/blob/main/preprints/A-Charged-Reduction-of-the-Spacetime-Penrose-Inequality-in-Spatial-Dimensions-at-Least-Four-October-5-2026/paper.pdf"],[1,-0.8799,0.3162,"Spacetime Penrose inequalities: enclosing area, charge, and rigidity",11,"https://github.com/openai/math/blob/main/preprints/Spacetime-Penrose-inequalities-enclosing-area-charge-and-rigidity-October-5-2026/paper.pdf"],[1,-0.867,0.3106,"The Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors",11,"https://github.com/openai/math/blob/main/preprints/The-Kerr-Newman-Penrose-Inequality-for-Axisymmetric-Electrovacuum-Exteriors-October-5-2026/paper.pdf"],[1,-0.8805,0.3145,"Electromagnetic tails and the Kerr–Newman Penrose inequality",11,"https://github.com/openai/math/blob/main/preprints/Electromagnetic-tails-and-the-Kerr-Newman-Penrose-inequality-October-5-2026/paper.pdf"],[1,-0.8676,0.309,"The nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity",11,"https://github.com/openai/math/blob/main/preprints/The-nonmaximal-anti-de-Sitter-Penrose-Inequality-and-original-data-rigidity-October-5-2026/paper.pdf"],[1,-0.8811,0.3129,"The Penrose inequality for maximal asymptotically hyperbolic initial data",11,"https://github.com/openai/math/blob/main/preprints/The-Penrose-inequality-for-maximal-asymptotically-hyperbolic-initial-data-October-5-2026/paper.pdf"],[1,-0.8682,0.3074,"A local Penrose inequality for conformal perturbations of Schwarzschild–anti-de Sitter data",11,"https://github.com/openai/math/blob/main/preprints/A-local-Penrose-inequality-for-conformal-perturbations-of-Schwarzschild-anti-de-Sitter-data-October-5-2026/paper.pdf"],[1,-0.8817,0.3113,"The spacetime Penrose inequality and enclosing area",11,"https://github.com/openai/math/blob/main/preprints/The-spacetime-Penrose-inequality-and-enclosing-area-September-27-2026/paper.pdf"],[1,-0.8687,0.3059,"Conformal flow and the Riemannian Penrose inequality with minimizing frontiers",11,"https://github.com/openai/math/blob/main/preprints/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026/paper.pdf"],[1,-0.8822,0.3097,"Equality and rigidity in the spacetime Penrose inequality",11,"https://github.com/openai/math/blob/main/preprints/Equality-and-rigidity-in-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf"],[1,-0.8693,0.3043,"Boundary graph deformations for the spacetime Penrose inequality",11,"https://github.com/openai/math/blob/main/preprints/Boundary-graph-deformations-for-the-spacetime-Penrose-inequality-September-27-2026/paper.pdf"],[1,-0.8828,0.3081,"Area-controlled end replacement and the Bondi Penrose inequality in the CKS class",11,"https://github.com/openai/math/blob/main/preprints/Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026/paper.pdf"],[0,-0.9469,0.3214,"264. Strong cosmic censorship near two-ended Kerr data",11,"264-strong-cosmic-censorship-kerr"],[1,-0.8842,0.3041,"Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime",11,"https://github.com/openai/math/blob/main/preprints/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026/paper.pdf"],[1,-0.8721,0.296,"Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes",11,"https://github.com/openai/math/blob/main/preprints/Generic-C1-Future-Inextendibility-Near-Rotating-Subextremal-Kerr-Spacetimes-September-23-2026/paper.pdf"],[1,-0.8866,0.297,"Quantitative Near-Kerr Evolution and Generic C2 Future Inextendibility",11,"https://github.com/openai/math/blob/main/preprints/Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026/paper.pdf"],[0,-0.9513,0.3081,"265. Area laws and tensor networks for two-dimensional gapped systems",11,"265-two-dimensional-area-law"],[1,-0.8886,0.2908,"A two-dimensional area law from a global spectral gap",11,"https://github.com/openai/math/blob/main/preprints/A-two-dimensional-area-law-from-a-global-spectral-gap-September-24-2026/paper.pdf"],[1,-0.877,0.2812,"Polynomial PEPS approximation of gapped square-grid ground states",11,"https://github.com/openai/math/blob/main/preprints/Polynomial-PEPS-approximation-of-gapped-square-grid-ground-states-September-24-2026/paper.pdf"],[0,-0.9556,0.2948,"273. The entropy photon-number inequality",11,"273-entropy-photon-number"],[1,-0.8935,0.2756,"The entropy photon-number inequality",11,"https://github.com/openai/math/blob/main/preprints/The-entropy-photon-number-inequality-September-24-2026/paper.pdf"],[0,-0.9596,0.2813,"266. Exactly three mutually unbiased bases in dimension six",11,"266-three-mubs-dimension-six"],[1,-0.8964,0.2657,"The maximum number of mutually unbiased bases in dimension six",11,"https://github.com/openai/math/blob/main/preprints/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026/The-maximum-number-of-mutually-unbiased-bases-in-dimension-six-September-24-2026.pdf"],[1,-0.8846,0.2565,"Exact Fourier certificates for complex Hadamard matrices of order six",11,"https://github.com/openai/math/blob/main/preprints/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026/Exact-Fourier-certificates-for-complex-Hadamard-matrices-of-order-six-September-24-2026.pdf"],[0,-0.9635,0.2679,"269. Uniform Laughlin gap and stability under bounded scalar disorder",11,"269-laughlin-gap"],[1,-0.9001,0.2531,"Uniform Stability of the Spherical Laughlin Gap",11,"https://github.com/openai/math/blob/main/preprints/Uniform-Stability-of-the-Spherical-Laughlin-Gap-October-5-2026/uniform-stability-spherical-laughlin-gap.pdf"],[1,-0.8881,0.2441,"A Fock-space inequality and the Laughlin spectral gap",11,"https://github.com/openai/math/blob/main/preprints/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026/A-Fock-space-inequality-and-the-Laughlin-spectral-gap-September-24-2026.pdf"],[0,-0.9671,0.2543,"268. The spin-one Haldane gap",11,"268-haldane-gap-spin-one"],[1,-0.9035,0.2405,"The periodic spin-one Haldane gap",11,"https://github.com/openai/math/blob/main/preprints/The-periodic-spin-one-Haldane-gap-September-24-2026/paper.pdf"],[1,-0.8914,0.2316,"A boundary-field gap for the spin-one Heisenberg chain",11,"https://github.com/openai/math/blob/main/preprints/A-boundary-field-gap-for-the-spin-one-Heisenberg-chain-September-24-2026/paper.pdf"],[0,-0.9706,0.2407,"272. Entanglement without distillable secret key",11,"272-entanglement-without-key"],[1,-0.9075,0.2251,"Entanglement with zero distillable secret key in local dimension ten",11,"https://github.com/openai/math/blob/main/preprints/Entanglement-with-zero-distillable-secret-key-in-local-dimension-ten-September-27-2026/paper.pdf"],[0,-0.9739,0.2271,"274. Parity is not in QAC⁰",11,"274-parity-not-qac0"],[1,-0.9099,0.2151,"Product-projection localization and the QAC0 parity lower bound",11,"https://github.com/openai/math/blob/main/preprints/Product-projection-localization-and-the-QAC0-parity-lower-bound-September-24-2026/paper.pdf"],[1,-0.8976,0.2065,"Regular trajectories, pruning and quantum parity",11,"https://github.com/openai/math/blob/main/preprints/Regular-trajectories-pruning-and-quantum-parity-September-24-2026/paper.pdf"],[0,-0.977,0.2134,"276. Classical capacity of generalized amplitude damping",11,"276-gad-capacity"],[1,-0.9135,0.1996,"Classical capacity and entropy inequalities for generalized amplitude damping",11,"https://github.com/openai/math/blob/main/preprints/Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026/paper.pdf"],[0,-0.9799,0.1997,"277. Threshold repetition for entangled games",11,"277-threshold-entangled-games"],[1,-0.9162,0.1867,"Threshold parallel repetition for finite-dimensional entangled games",11,"https://github.com/openai/math/blob/main/preprints/Threshold-parallel-repetition-for-finite-dimensional-entangled-games-September-25-2026/paper.pdf"],[0,-0.9826,0.186,"279. Exact quantum factoring over a fixed finite gate set",11,"279-exact-quantum-factoring"],[1,-0.9187,0.1739,"Exact quantum factoring over a fixed finite gate set",11,"https://github.com/openai/math/blob/main/preprints/Exact-quantum-factoring-over-a-fixed-finite-gate-set-September-25-2026/main.pdf"],[0,-0.9851,0.1722,"284. The optimal quartic separation between randomized and quantum queries",11,"284-quartic-separation"],[1,-0.921,0.161,"A Nearly Quartic Separation Between Randomized and Quantum Query Complexity",11,"https://github.com/openai/math/blob/main/preprints/A-Nearly-Quartic-Separation-Between-Randomized-and-Quantum-Query-Complexity-October-5-2026/quartic-query-separation.pdf"],[0,-0.9874,0.1584,"283. Polynomial-time unitary synthesis from a Boolean oracle",11,"283-unitary-synthesis"],[1,-0.9232,0.1481,"Polynomial-Time Unitary Synthesis from a Boolean Oracle",11,"https://github.com/openai/math/blob/main/preprints/Polynomial-Time-Unitary-Synthesis-from-a-Boolean-Oracle-October-5-2026/paper.pdf"],[0,-0.9895,0.1445,"280. Unitary vertex operator algebras and conformal nets",11,"280-voa-conformal-nets"],[1,-0.9252,0.1351,"Strongly rational unitary vertex operator algebras and conformal nets",11,"https://github.com/openai/math/blob/main/preprints/Strongly-rational-unitary-vertex-operator-algebras-and-conformal-nets-September-25-2026/paper.pdf"],[0,-0.9914,0.1306,"281. QAOA attains the SK optimum in the thermodynamic-first limit",11,"281-qaoa-sk-optimum"],[1,-0.9266,0.1249,"QAOA attains the SK ground-state energy in the thermodynamic-first limit",11,"https://github.com/openai/math/blob/main/preprints/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026/QAOA-attains-the-SK-ground-state-energy-in-the-thermodynamic-first-limit-September-25-2026.pdf"],[1,-0.9135,0.1176,"Full support of the zero-temperature Sherrington-Kirkpatrick order parameter",11,"https://github.com/openai/math/blob/main/preprints/Full-support-of-the-zero-temperature-Sherrington-Kirkpatrick-order-parameter-September-27-2026/main.pdf"],[0,-0.9932,0.1167,"282. From scale symmetry to local conformal symmetry in four-dimensional QFT",11,"282-scale-to-conformal"],[1,-0.9286,0.1091,"Scale and conformal symmetry in four-dimensional operational quantum field theory",11,"https://github.com/openai/math/blob/main/preprints/Scale-and-conformal-symmetry-in-four-dimensional-operational-quantum-field-theory-September-26-2026/main.pdf"],[0,-0.9992,0.0401,"291. Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability",12,"291-toms-winter"],[1,-0.9341,0.0417,"Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case",12,"https://github.com/openai/math/blob/main/preprints/Equivariant-Jiang-Su-Stability-for-Amenable-Actions-in-the-Unital-Stably-Finite-Case-October-5-2026/paper.pdf"],[1,-0.9202,0.0383,"Cuntz comparison and Jiang–Su absorption",12,"https://github.com/openai/math/blob/main/preprints/Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026/paper.pdf"],[1,-0.9343,0.0361,"Nuclear dimension and Jiang–Su stability without elementary subquotients",12,"https://github.com/openai/math/blob/main/preprints/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026/paper.pdf"],[1,-0.9204,0.0328,"Tracial projection methods and uniform property Gamma",12,"https://github.com/openai/math/blob/main/preprints/Tracial-projection-methods-and-uniform-property-Gamma-September-23-2026/paper.pdf"],[0,-0.9997,0.0261,"299. The Kirchberg–Rørdam character criterion and infinite tensor-power Jiang–Su stability",12,"299-kirchberg-rordam"],[1,-0.9347,0.0244,"The Kirchberg–Rørdam character criterion",12,"https://github.com/openai/math/blob/main/preprints/The-Kirchberg-Rordam-character-criterion-September-25-2026/paper.pdf"],[0,-0.9999,0.0121,"303. Weak pure infiniteness and Cuntz-algebra absorption",12,"303-pure-infiniteness"],[1,-0.9349,0.0113,"Weak pure infiniteness and O-infinity absorption",12,"https://github.com/openai/math/blob/main/preprints/Weak-pure-infiniteness-and-O-infinity-absorption-September-25-2026/paper.pdf"],[0,-1.0,-0.0019,"301. Trace cones and Razak–Jacelon stabilization",12,"301-trace-cones"],[1,-0.935,-0.0018,"The trace cone classifies Razak–Jacelon stabilizations",12,"https://github.com/openai/math/blob/main/preprints/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026.pdf"],[0,-0.9999,-0.016,"302. Radius of comparison equals half the mean dimension",12,"302-mean-dimension"],[1,-0.9349,-0.0121,"Filtered products and boundary-preserving compression in complex cobordism",12,"https://github.com/openai/math/blob/main/preprints/Filtered-products-and-boundary-preserving-compression-in-complex-cobordism-September-25-2026/paper.pdf"],[1,-0.9208,-0.0174,"Radius of comparison equals half the mean dimension",12,"https://github.com/openai/math/blob/main/preprints/Radius-of-comparison-equals-half-the-mean-dimension-September-25-2026/paper.pdf"],[0,-0.9996,-0.03,"285. Counterexamples to Baum–Connes and Kadison–Kaplansky",12,"285-baum-connes-kadison-kaplansky"],[1,-0.9347,-0.0243,"A torsion-free counterexample to reduced Baum–Connes injectivity",12,"https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Counterexample-to-Reduced-Baum-Connes-Injectivity-September-23-2026/paper.pdf"],[1,-0.9206,-0.0276,"A torsion-free counterexample to the Kadison–Kaplansky projection conjecture",12,"https://github.com/openai/math/blob/main/preprints/A-Torsion-Free-Counterexample-to-the-Kadison-Kaplansky-Projection-Conjecture-September-23-2026/paper.pdf"],[1,-0.9345,-0.0317,"An irrational-trace counterexample to reduced Baum–Connes",12,"https://github.com/openai/math/blob/main/preprints/An-Irrational-Trace-Counterexample-to-Reduced-Baum-Connes-September-23-2026/paper.pdf"],[0,-0.999,-0.044,"286. Rigidity and arithmetic of lattice von Neumann algebras",12,"286-lattice-von-neumann-rigidity"],[1,-0.9342,-0.0383,"Arithmeticity of twisted finite correspondences for lattices over local fields",12,"https://github.com/openai/math/blob/main/preprints/Arithmeticity-of-twisted-finite-correspondences-for-lattices-over-local-fields-September-23-2026/paper.pdf"],[1,-0.92,-0.0433,"The arithmetic category and stable recovery of lattice factors",12,"https://github.com/openai/math/blob/main/preprints/The-arithmetic-category-and-stable-recovery-of-lattice-factors-September-23-2026/paper.pdf"],[0,-0.9983,-0.058,"300. Approximation and quadratic strong-operator paving",12,"300-quadratic-paving"],[1,-0.9336,-0.0514,"Approximation Paving over Arbitrary Maximal Abelian Subalgebras",12,"https://github.com/openai/math/blob/main/preprints/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Approximation-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf"],[1,-0.9193,-0.0561,"Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras",12,"https://github.com/openai/math/blob/main/preprints/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026/Quadratic-Strong-Operator-Paving-over-Arbitrary-Maximal-Abelian-Subalgebras-September-25-2026.pdf"],[0,-0.9974,-0.072,"288. Kadison's similarity conjecture",12,"288-kadison-similarity"],[1,-0.9326,-0.0673,"Kadison's similarity theorem through uniform derivation estimates",12,"https://github.com/openai/math/blob/main/preprints/Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026/paper.pdf"],[0,-0.9963,-0.0859,"289. Strong Kadison–Kastler stability and its spatial boundaries",12,"289-kadison-kastler"],[1,-0.9319,-0.0767,"Universal strong Kadison–Kastler stability",12,"https://github.com/openai/math/blob/main/preprints/Universal-strong-Kadison-Kastler-stability-September-23-2026/paper.pdf"],[1,-0.9176,-0.0792,"Near Inclusions of von Neumann Algebras Without Small Spatial Embeddings",12,"https://github.com/openai/math/blob/main/preprints/Near-Inclusions-of-von-Neumann-Algebras-Without-Small-Spatial-Embeddings-October-5-2026/near-inclusions.pdf"],[1,-0.9312,-0.0841,"Close Separable C*-Algebras Without Spatial Conjugacy",12,"https://github.com/openai/math/blob/main/preprints/Close-Separable-Cstar-Algebras-Without-Spatial-Conjugacy-October-5-2026/paper.pdf"],[0,-0.995,-0.0999,"290. Relative bicentralizers and modular spectral recovery",12,"290-bicentralizer"],[1,-0.9306,-0.0906,"Expected amenable subalgebras preserving core commutants",12,"https://github.com/openai/math/blob/main/preprints/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026/Expected-amenable-subalgebras-preserving-core-commutants-September-23-2026.pdf"],[1,-0.9161,-0.0947,"Bounded recovery for modular spectral averages",12,"https://github.com/openai/math/blob/main/preprints/Bounded-recovery-for-modular-spectral-averages-September-23-2026/Bounded-recovery-for-modular-spectral-averages-September-23-2026.pdf"],[0,-0.9935,-0.1138,"296. The generator problem for finite factors",12,"296-generator-problem"],[1,-0.9289,-0.1064,"Relative generation and the generator problem for finite factors",12,"https://github.com/openai/math/blob/main/preprints/Relative-generation-and-the-generator-problem-for-finite-factors-September-23-2026/paper.pdf"],[0,-0.9918,-0.1278,"295. The Kadison–Ringrose cohomology conjecture",12,"295-kadison-ringrose"],[1,-0.9273,-0.1195,"Vanishing of higher bounded Hochschild cohomology",12,"https://github.com/openai/math/blob/main/preprints/Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026/paper.pdf"],[0,-0.9899,-0.1417,"287. Isomorphism of the free group factors",12,"287-free-group-factors"],[1,-0.9256,-0.1324,"An isomorphism of the free group factors",12,"https://github.com/openai/math/blob/main/preprints/An-isomorphism-of-the-free-group-factors-September-23-2026/An-isomorphism-of-the-free-group-factors-September-23-2026.pdf"],[0,-0.9878,-0.1555,"298. Two notions of free entropy differ even when both are finite",12,"298-free-entropy"],[1,-0.9236,-0.1454,"A finite-entropy separation of microstates and nonmicrostates free entropy",12,"https://github.com/openai/math/blob/main/preprints/A-finite-entropy-separation-of-microstates-and-nonmicrostates-free-entropy-September-25-2026/paper.pdf"],[0,-0.9856,-0.1693,"292. Kirchberg's O₂ norm-ultrapower embedding problem",12,"292-kirchberg-embedding"],[1,-0.9215,-0.1583,"An explicit obstruction to nuclear norm-ultrapower embeddings",12,"https://github.com/openai/math/blob/main/preprints/An-explicit-obstruction-to-nuclear-norm-ultrapower-embeddings-September-23-2026/paper.pdf"],[0,-0.9831,-0.1831,"293. Invariant projections, hyperinvariant subspaces, and transitive algebras",12,"293-hyperinvariant-subspaces"],[1,-0.9197,-0.1685,"Invariant-projection counterexamples for every irrational rotation",12,"https://github.com/openai/math/blob/main/preprints/Invariant-projection-counterexamples-for-every-irrational-rotation-September-27-2026/paper.pdf"],[1,-0.9049,-0.1714,"Backward intertwiners and a transitive commutant",12,"https://github.com/openai/math/blob/main/preprints/Backward-intertwiners-and-a-transitive-commutant-September-27-2026/paper.pdf"],[0,-0.9804,-0.1969,"294. Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness",12,"294-kaplansky-quasitrace"],[1,-0.9167,-0.1841,"A counterexample to Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness",12,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-Kaplanskys-quasitrace-conjecture-September-23-2026/paper.pdf"],[0,-0.9776,-0.2106,"297. A ZFC counterexample to Naimark's problem",12,"297-naimark-zfc"],[1,-0.914,-0.1969,"A counterexample to Naimark's problem in ZFC",12,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-Naimarks-problem-in-ZFC-September-24-2026/naimark-counterexample-zfc.pdf"],[0,-0.9585,-0.2851,"318. Chromatic splitting: filtrations and counterexamples",13,"318-chromatic-splitting"],[1,-0.8975,-0.2623,"Filtered chromatic splitting at generic primes",13,"https://github.com/openai/math/blob/main/preprints/Filtered-chromatic-splitting-at-generic-primes-September-25-2026/paper.pdf"],[1,-0.8834,-0.2604,"The height-three chromatic overlap: an explicit filtration and its attachments",13,"https://github.com/openai/math/blob/main/preprints/The-height-three-chromatic-overlap-an-explicit-filtration-and-its-attachments-September-27-2026/paper.pdf"],[1,-0.8962,-0.2665,"A rational obstruction to strong chromatic splitting at height three",13,"https://github.com/openai/math/blob/main/preprints/A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026/paper.pdf"],[1,-0.8822,-0.2647,"Failure of finite assembly for a chromatic overlap at the prime three",13,"https://github.com/openai/math/blob/main/preprints/Failure-of-finite-assembly-for-a-chromatic-overlap-at-the-prime-three-September-25-2026/paper.pdf"],[1,-0.8949,-0.2708,"Counterexamples to weak chromatic splitting: sphere kernels and descent exponents",13,"https://github.com/openai/math/blob/main/preprints/Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026/paper.pdf"],[0,-0.9544,-0.2985,"313. Finite generation for the K(n)-local sphere",13,"313-finite-generation"],[1,-0.8924,-0.2791,"Finite generation for the K(n)-local sphere",13,"https://github.com/openai/math/blob/main/preprints/Finite-generation-for-the-Kn-local-sphere-September-24-2026/Finite-generation-for-the-Kn-local-sphere-September-24-2026.pdf"],[0,-0.9501,-0.3118,"311. The Hovey–Strickland and Chai conjectures",13,"311-hovey-strickland"],[1,-0.8884,-0.2916,"Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra",13,"https://github.com/openai/math/blob/main/preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026/paper.pdf"],[0,-0.9457,-0.3251,"319. Counterexamples to finite generation at chromatic height two",13,"319-hahn-wilson"],[1,-0.8842,-0.304,"Counterexamples to the Hahn-Wilson conjecture at height two",13,"https://github.com/openai/math/blob/main/preprints/Counterexamples-to-the-Hahn-Wilson-conjecture-at-height-two-September-26-2026/paper.pdf"],[0,-0.941,-0.3383,"308. Finite Smith–Toda complexes at every height",13,"308-smith-toda"],[1,-0.8808,-0.3137,"Finite Smith–Toda Complexes at Varying Primes",13,"https://github.com/openai/math/blob/main/preprints/Finite-Smith-Toda-Complexes-at-Varying-Primes-September-23-2026/paper.pdf"],[1,-0.8658,-0.3142,"A finite Smith–Toda complex V(4) at the prime 1009",13,"https://github.com/openai/math/blob/main/preprints/A-finite-Smith-Toda-complex-V4-at-the-prime-1009-September-23-2026/paper.pdf"],[0,-0.9362,-0.3515,"309. The Kervaire invariant problem at the prime three",13,"309-kervaire-three"],[1,-0.8753,-0.3287,"The Kervaire invariant problem at the prime three",13,"https://github.com/openai/math/blob/main/preprints/The-Kervaire-Invariant-Problem-at-the-Prime-Three-September-24-2026/paper.pdf"],[0,-0.9312,-0.3646,"316. Curtis’s conjecture",13,"316-curtis-conjecture"],[1,-0.8706,-0.3409,"The Stable Hurewicz Image of the Sphere at Two",13,"https://github.com/openai/math/blob/main/preprints/The-Stable-Hurewicz-Image-of-the-Sphere-at-Two-September-25-2026/paper.pdf"],[0,-0.926,-0.3776,"314. Cyclic length and chromatic fixed-point loss",13,"314-cyclic-length"],[1,-0.8658,-0.3531,"Cyclic length and chromatic fixed-point loss",13,"https://github.com/openai/math/blob/main/preprints/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026/Cyclic-Length-and-Chromatic-Fixed-Point-Loss-September-24-2026.pdf"],[0,-0.9206,-0.3905,"304. The Hilbert–Smith conjecture in every dimension",13,"304-hilbert-smith"],[1,-0.8607,-0.3652,"The Hilbert–Smith conjecture in every finite dimension",13,"https://github.com/openai/math/blob/main/preprints/The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026/paper.pdf"],[0,-0.915,-0.4034,"307. Failure of rational injectivity for maximal coarse assembly",13,"307-coarse-assembly"],[1,-0.8567,-0.3746,"Failure of rational injectivity for maximal coarse assembly",13,"https://github.com/openai/math/blob/main/preprints/Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026/paper.pdf"],[1,-0.8416,-0.3741,"A counterexample to the coarse Novikov conjecture",13,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-the-coarse-Novikov-conjecture-September-23-2026/paper.pdf"],[0,-0.9093,-0.4162,"305. Four-dimensional disk embedding and Wall's conjecture",13,"305-disk-embedding"],[1,-0.8517,-0.3858,"A boundary-only obstruction to four-dimensional disk embedding",13,"https://github.com/openai/math/blob/main/preprints/A-boundary-only-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf"],[1,-0.8374,-0.3833,"A marked tensor obstruction to four-dimensional disk embedding",13,"https://github.com/openai/math/blob/main/preprints/A-marked-tensor-obstruction-to-four-dimensional-disk-embedding-September-24-2026/paper.pdf"],[1,-0.8486,-0.3925,"A PD4 group without an aspherical manifold model",13,"https://github.com/openai/math/blob/main/preprints/A-PD4-group-without-an-aspherical-manifold-model-September-24-2026/paper.pdf"],[0,-0.9033,-0.4289,"320. Nonhomeomorphic closed aspherical four-manifolds",13,"320-borel-four"],[1,-0.8446,-0.401,"Nonhomeomorphic closed aspherical four-manifolds with the same homotopy type",13,"https://github.com/openai/math/blob/main/preprints/Nonhomeomorphic-closed-aspherical-four-manifolds-with-the-same-homotopy-type-October-4-2026/paper.pdf"],[0,-0.8972,-0.4415,"315. The four-dimensional Singer conjecture",13,"315-singer-four"],[1,-0.8389,-0.4128,"The Singer conjecture in dimension four",13,"https://github.com/openai/math/blob/main/preprints/The-Singer-conjecture-in-dimension-four-September-25-2026/paper.pdf"],[0,-0.891,-0.4541,"306. The purely cosmetic surgery conjecture",13,"306-cosmetic-surgery"],[1,-0.8331,-0.4246,"Purely cosmetic surgery on knots in the three-sphere",13,"https://github.com/openai/math/blob/main/preprints/Purely-Cosmetic-Surgery-on-Knots-in-the-Three-Sphere-September-23-2026/paper.pdf"],[0,-0.8845,-0.4665,"310. Quillen's conjecture in rational homology",13,"310-quillen"],[1,-0.827,-0.4362,"Rational homology and Quillen's conjecture",13,"https://github.com/openai/math/blob/main/preprints/Rational-homology-and-Quillens-conjecture-September-24-2026/paper.pdf"],[0,-0.8779,-0.4789,"312. The Grothendieck homotopy hypothesis",13,"312-homotopy-hypothesis"],[1,-0.8208,-0.4477,"The Grothendieck homotopy hypothesis via elementary expansions",13,"https://github.com/openai/math/blob/main/preprints/The-Grothendieck-homotopy-hypothesis-via-elementary-expansions-September-24-2026/paper.pdf"],[0,-0.8711,-0.4911,"317. Thomason model structures in all strict higher dimensions",13,"317-thomason-model-structures"],[1,-0.8145,-0.4592,"Thomason Model Structures in Every Strict Higher Dimension",13,"https://github.com/openai/math/blob/main/preprints/Thomason-Model-Structures-in-Every-Strict-Higher-Dimension-September-25-2026/paper.pdf"],[0,-0.8641,-0.5033,"321. A counterexample to Wall's finite D(2) problem",13,"321-wall-d2"],[1,-0.808,-0.4706,"A Counterexample to Wall's D(2) Problem",13,"https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Walls-D2-Problem-October-6-2026/wall-d2-counterexample.pdf"],[0,-0.8229,-0.5681,"326. The cotype–cotype conjecture under the approximation property",14,"326-cotype-cotype"],[1,-0.7694,-0.5312,"The cotype–cotype conjecture under the approximation property",14,"https://github.com/openai/math/blob/main/preprints/The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026/paper.pdf"],[0,-0.8149,-0.5796,"329. A counterexample to metric-entropy duality",14,"329-entropy-duality"],[1,-0.7619,-0.5419,"Counterexamples to the duality conjecture for metric entropy",14,"https://github.com/openai/math/blob/main/preprints/Counterexamples-to-the-duality-conjecture-for-metric-entropy-September-24-2026/main.pdf"],[0,-0.8067,-0.591,"322. Tingley’s sphere-isometry problem",14,"322-tingley"],[1,-0.7542,-0.5526,"A positive solution to Tingley’s problem",14,"https://github.com/openai/math/blob/main/preprints/A-positive-solution-to-Tingleys-problem-September-23-2026/paper.pdf"],[0,-0.7983,-0.6022,"323. Independence of the separable quotient problem",14,"323-separable-quotient"],[1,-0.7464,-0.5631,"Relative independence of the separable quotient problem",14,"https://github.com/openai/math/blob/main/preprints/Relative-independence-of-the-separable-quotient-problem-September-23-2026/paper.pdf"],[0,-0.7898,-0.6134,"331. Reflexive midpoint convexity and diamond distortion",14,"331-midpoint-diamonds"],[1,-0.7414,-0.5697,"Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space",14,"https://github.com/openai/math/blob/main/preprints/Asymptotic-midpoint-uniform-convexity-and-unbounded-diamond-distortion-in-a-reflexive-tree-space-September-27-2026/manuscript.pdf"],[1,-0.7293,-0.5624,"Midpoint lenses in segment spaces",14,"https://github.com/openai/math/blob/main/preprints/Midpoint-lenses-in-segment-spaces-September-27-2026/manuscript.pdf"],[1,-0.7394,-0.5722,"Distortion of countably branching diamonds from midpoint and tree energies",14,"https://github.com/openai/math/blob/main/preprints/Diamond-distortion-from-midpoint-and-tree-energies-September-27-2026/manuscript.pdf"],[1,-0.7274,-0.5649,"Exact asymptotic moduli in a Daugavet subspace of L1",14,"https://github.com/openai/math/blob/main/preprints/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026/manuscript.pdf"],[1,-0.7375,-0.5748,"Midpoint convexity from bounded tree potentials and path costs",14,"https://github.com/openai/math/blob/main/preprints/Midpoint-convexity-from-bounded-tree-potentials-and-path-costs-September-27-2026/manuscript.pdf"],[1,-0.7255,-0.5674,"Independent products in real L1: asymptotic midpoint convexity without AUC renormings",14,"https://github.com/openai/math/blob/main/preprints/Independent-products-in-real-L1-asymptotic-midpoint-convexity-without-AUC-renormings-September-27-2026/manuscript.pdf"],[1,-0.7355,-0.5773,"Midpoint convexity from two recursive potentials",14,"https://github.com/openai/math/blob/main/preprints/Midpoint-convexity-from-two-recursive-potentials-September-27-2026/manuscript.pdf"],[0,-0.7811,-0.6244,"327. Markov type characterizes superreflexivity",14,"327-markov-type"],[1,-0.7303,-0.5838,"Nontrivial Markov Type Forces Superreflexivity",14,"https://github.com/openai/math/blob/main/preprints/Nontrivial-Markov-Type-Forces-Superreflexivity-September-23-2026/paper.pdf"],[0,-0.7723,-0.6353,"332. Metric Markov cotype of ℓ₁ and Hilbert-space Lipschitz extension",14,"332-markov-cotype-l1"],[1,-0.7221,-0.594,"Metric Markov Cotype Two of ℓ₁",14,"https://github.com/openai/math/blob/main/preprints/Metric-Markov-Cotype-Two-of-l1-October-5-2026/l1-markov-cotype.pdf"],[0,-0.7633,-0.646,"324. Lipschitz equivalent Banach spaces need not be linearly isomorphic",14,"324-lipschitz-banach"],[1,-0.7155,-0.6019,"Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic",14,"https://github.com/openai/math/blob/main/preprints/Lipschitz-Equivalent-Separable-Banach-Spaces-Need-Not-Be-Linearly-Isomorphic-September-24-2026/paper.pdf"],[1,-0.7012,-0.5971,"Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0",14,"https://github.com/openai/math/blob/main/preprints/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026/paper.pdf"],[0,-0.7542,-0.6567,"330. A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces",14,"330-free-space-bap"],[1,-0.7052,-0.614,"A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces",14,"https://github.com/openai/math/blob/main/preprints/Failure-of-Bounded-Approximation-in-a-Lipschitz-Free-Space-over-a-Uniformly-Discrete-Metric-Space-September-26-2026/main.pdf"],[0,-0.7449,-0.6672,"325. The complete Crouzeix conjecture",14,"325-complete-crouzeix"],[1,-0.6983,-0.6217,"A direct proof of the complete Crouzeix inequality",14,"https://github.com/openai/math/blob/main/preprints/A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026/paper.pdf"],[1,-0.6842,-0.6165,"The complete Crouzeix theorem: optimal similarity and a common positive boundary representation",14,"https://github.com/openai/math/blob/main/preprints/The-complete-Crouzeix-theorem-September-23-2026/paper.pdf"],[0,-0.7355,-0.6776,"328. Nonexpansive fixed points in reflexive Banach spaces",14,"328-kirk-fixed-point"],[1,-0.6877,-0.6335,"Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces",14,"https://github.com/openai/math/blob/main/preprints/Fixed-Points-of-Nonexpansive-Maps-in-Reflexive-Banach-Spaces-September-24-2026/paper.pdf"],[0,-0.6813,-0.732,"335. Gromov’s integral scalar-curvature bound for simplicial volume",15,"335-integral-scalar-curvature"],[1,-0.639,-0.6825,"An integral scalar curvature bound for real simplicial volume",15,"https://github.com/openai/math/blob/main/preprints/An-integral-scalar-curvature-bound-for-real-simplicial-volume-October-5-2026/v126-proof.pdf"],[1,-0.6254,-0.6761,"Positive scalar curvature forces rational inessentiality",15,"https://github.com/openai/math/blob/main/preprints/Positive-scalar-curvature-forces-rational-inessentiality-September-23-2026/paper.pdf"],[0,-0.6709,-0.7415,"336. Spectral scalar curvature, Urysohn width, and macroscopic dimension",15,"336-urysohn-width"],[1,-0.6301,-0.6908,"Spectral scalar curvature and uniform Urysohn width",15,"https://github.com/openai/math/blob/main/preprints/Spectral-scalar-curvature-and-uniform-Urysohn-width-October-5-2026/main.pdf"],[1,-0.6179,-0.6829,"Spectral scalar curvature and Urysohn width in dimension three",15,"https://github.com/openai/math/blob/main/preprints/Spectral-scalar-curvature-and-Urysohn-width-in-dimension-three-October-5-2026/spectral-urysohn-three-manifolds.pdf"],[1,-0.6246,-0.6958,"Positive scalar curvature and uniform codimension-two width",15,"https://github.com/openai/math/blob/main/preprints/Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026/paper.pdf"],[0,-0.6605,-0.7508,"346. Sharp singular-set bounds for stationary integral varifolds",15,"346-varifold-singular-set"],[1,-0.6196,-0.7002,"A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold",15,"https://github.com/openai/math/blob/main/preprints/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026/varifold-singular-dimension.pdf"],[1,-0.6062,-0.6933,"Almost-everywhere regularity of stationary integral varifolds",15,"https://github.com/openai/math/blob/main/preprints/Almost-everywhere-regularity-of-stationary-integral-varifolds-September-23-2026/paper.pdf"],[0,-0.6499,-0.76,"349. The Solomon–Yau least-volume conjecture",15,"349-solomon-yau"],[1,-0.6077,-0.7106,"The Solomon–Yau least-volume theorem",15,"https://github.com/openai/math/blob/main/preprints/The-Solomon-Yau-least-volume-theorem-September-23-2026/paper.pdf"],[0,-0.6392,-0.7691,"360. Weak MTW curvature gives convexity and regular optimal transport",15,"360-weak-mtw-transport"],[1,-0.5998,-0.7173,"Global Support and Convex Injectivity Domains under Weak MTW",15,"https://github.com/openai/math/blob/main/preprints/Global-Support-and-Convex-Injectivity-Domains-under-Weak-MTW-September-25-2026/paper.pdf"],[1,-0.5866,-0.7101,"Uniform Bi-Holder Transport from Weak MTW",15,"https://github.com/openai/math/blob/main/preprints/Uniform-Bi-Holder-Transport-from-Weak-MTW-September-25-2026/paper.pdf"],[0,-0.6283,-0.7779,"357. Bi-Lipschitz coordinates at every regular RCD point",15,"357-rcd-bilipschitz-charts"],[1,-0.5875,-0.7274,"Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces",15,"https://github.com/openai/math/blob/main/preprints/Bi-Lipschitz-Coordinates-at-Regular-Points-of-Noncollapsed-RCD-Spaces-September-25-2026/paper.pdf"],[0,-0.6174,-0.7867,"356. Gigli’s characterization of Alexandrov curvature",15,"356-gigli-alexandrov-curvature"],[1,-0.5794,-0.7338,"Gigli’s distributional curvature characterization of Alexandrov spaces",15,"https://github.com/openai/math/blob/main/preprints/Giglis-distributional-curvature-characterization-of-Alexandrov-spaces-September-24-2026/main.pdf"],[1,-0.5664,-0.7262,"Weak Hessian bounds along every geodesic in RCD spaces",15,"https://github.com/openai/math/blob/main/preprints/Weak-Hessian-bounds-along-every-geodesic-in-RCD-spaces-September-24-2026/weak-hessian-geodesics.pdf"],[0,-0.6063,-0.7953,"333. Smooth isometric immersions of surfaces into ℝ⁴",15,"333-surfaces-r4"],[1,-0.5669,-0.7436,"Smooth isometric immersions of closed surfaces into Euclidean four-space",15,"https://github.com/openai/math/blob/main/preprints/Smooth-isometric-immersions-of-closed-surfaces-into-Euclidean-four-space-September-23-2026/paper.pdf"],[0,-0.5951,-0.8037,"334. A smooth surface metric with no local isometric immersion in ℝ³",15,"334-no-local-r3"],[1,-0.5564,-0.7514,"A Smooth Metric with No Local Isometric Immersion into Three-Space",15,"https://github.com/openai/math/blob/main/preprints/A-Smooth-Metric-with-No-Local-Isometric-Immersion-into-Three-Space-September-24-2026/paper.pdf"],[0,-0.5837,-0.8119,"337. Sharp Cartan–Hadamard isoperimetry and rigidity",15,"337-cartan-hadamard"],[1,-0.5481,-0.7575,"Generalized Cartan–Hadamard isoperimetry and Euclidean equality rigidity",15,"https://github.com/openai/math/blob/main/preprints/Generalized-Cartan-Hadamard-isoperimetry-and-Euclidean-equality-rigidity-September-23-2026/paper.pdf"],[1,-0.5354,-0.7494,"Sharp integral fillings in CAT(0) spaces",15,"https://github.com/openai/math/blob/main/preprints/Sharp-integral-fillings-in-CAT(0"],[0,-0.5723,-0.82,"338. Yau's uniformization conjecture",15,"338-yau-uniformization"],[1,-0.5351,-0.7667,"Uniformization of complete Kähler manifolds with positive bisectional curvature",15,"https://github.com/openai/math/blob/main/preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026/paper.pdf"],[0,-0.5608,-0.828,"351. Scalar curvature and finite-time Ricci-flow singularities",15,"351-scalar-curvature-ricci-flow"],[1,-0.5274,-0.7721,"A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup",15,"https://github.com/openai/math/blob/main/preprints/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026/paper.pdf"],[1,-0.5165,-0.7626,"Bounded scalar curvature and smooth extension of four-dimensional Ricci flow",15,"https://github.com/openai/math/blob/main/preprints/Bounded-scalar-curvature-and-smooth-extension-of-four-dimensional-Ricci-flow-September-24-2026/paper.pdf"],[1,-0.5212,-0.7762,"Path selection and an elliptic inequality on degenerating Ricci-flat trees",15,"https://github.com/openai/math/blob/main/preprints/Path-selection-and-an-elliptic-inequality-on-degenerating-Ricci-flat-trees-September-24-2026/paper.pdf"],[0,-0.5491,-0.8358,"348. Nonnegative-curvature Einstein classification and an L² topological gap",15,"348-einstein-four-manifolds"],[1,-0.5165,-0.7794,"Zero-Plane Rigidity for Einstein Four-Manifolds",15,"https://github.com/openai/math/blob/main/preprints/Zero-Plane-Rigidity-for-Einstein-Four-Manifolds-October-4-2026/einstein-boundary.pdf"],[1,-0.5057,-0.7697,"An L² Einstein Gap for Nonnegatively Curved Four-Manifolds",15,"https://github.com/openai/math/blob/main/preprints/An-L2-Einstein-Gap-for-Nonnegatively-Curved-Four-Manifolds-October-5-2026/einstein-gap.pdf"],[1,-0.5103,-0.7835,"Positively curved Einstein four-manifolds",15,"https://github.com/openai/math/blob/main/preprints/Positively-curved-Einstein-four-manifolds-September-23-2026/paper.pdf"],[0,-0.5373,-0.8434,"361. Failure of integer-degree harmonic dimension comparison",15,"361-harmonic-dimension-counterexample"],[1,-0.5047,-0.7871,"A counterexample to integer-degree harmonic dimension comparison",15,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-integer-degree-harmonic-dimension-comparison-September-25-2026/paper.pdf"],[1,-0.4926,-0.7782,"A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison",15,"https://github.com/openai/math/blob/main/preprints/A-Three-Dimensional-Counterexample-to-Integer-Degree-Harmonic-Dimension-Comparison-September-26-2026/paper.pdf"],[0,-0.5254,-0.8508,"352. A finite-time singularity of Calabi flow",15,"352-calabi-flow-singularity"],[1,-0.4913,-0.7955,"A finite-time singularity of Calabi flow on projective space",15,"https://github.com/openai/math/blob/main/preprints/A-finite-time-singularity-of-Calabi-flow-on-projective-space-September-24-2026/paper.pdf"],[0,-0.5135,-0.8581,"359. Negative Kähler curvature without bounded holomorphic coordinates",15,"359-kahler-no-bounded-coordinates"],[1,-0.4825,-0.8009,"A negatively pinched Kähler threefold without bounded holomorphic coordinates",15,"https://github.com/openai/math/blob/main/preprints/A-negatively-pinched-Kahler-threefold-without-bounded-holomorphic-coordinates-September-25-2026/paper.pdf"],[1,-0.4705,-0.7917,"One-sided negative sectional curvature and the holomorphic Liouville property",15,"https://github.com/openai/math/blob/main/preprints/One-sided-negative-sectional-curvature-and-the-holomorphic-Liouville-property-September-25-2026/paper.pdf"],[0,-0.5014,-0.8652,"339. Katok's entropy rigidity conjecture",15,"339-katok-entropy"],[1,-0.4688,-0.809,"Entropy equality and local symmetry in negative curvature",15,"https://github.com/openai/math/blob/main/preprints/Entropy-equality-and-local-symmetry-in-negative-curvature-September-23-2026/paper.pdf"],[0,-0.4892,-0.8722,"343. Symplectic ball packing in higher dimensions",15,"343-ball-packing"],[1,-0.4574,-0.8155,"Symplectic Ball Packings in Higher Dimensions",15,"https://github.com/openai/math/blob/main/preprints/Symplectic-Ball-Packings-in-Higher-Dimensions-September-23-2026/paper.pdf"],[0,-0.4769,-0.8789,"342. Donaldson's tamed-to-compatible conjecture",15,"342-tamed-compatible"],[1,-0.4459,-0.8218,"Taming implies compatibility on four-manifolds",15,"https://github.com/openai/math/blob/main/preprints/Taming-implies-compatibility-on-four-manifolds-October-6-2026/paper.pdf"],[0,-0.4646,-0.8855,"341. Donaldson's hypersymplectic deformation conjecture",15,"341-hypersymplectic"],[1,-0.4344,-0.828,"Deforming hypersymplectic four-manifolds to hyperkähler triples",15,"https://github.com/openai/math/blob/main/preprints/Deforming-hypersymplectic-four-manifolds-to-hyperkahler-triples-October-7-2026/paper.pdf"],[0,-0.4521,-0.892,"344. The metric Blaschke conjecture",15,"344-metric-blaschke"],[1,-0.4227,-0.834,"The metric Blaschke theorem",15,"https://github.com/openai/math/blob/main/preprints/The-metric-Blaschke-theorem-September-23-2026/paper.pdf"],[0,-0.4396,-0.8982,"358. A three-manifold without conjugate points or nonpositive curvature",15,"358-no-conjugate-points"],[1,-0.411,-0.8398,"A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric",15,"https://github.com/openai/math/blob/main/preprints/A-Three-Manifold-Without-Conjugate-Points-and-Without-a-Nonpositively-Curved-Metric-September-24-2026/paper.pdf"],[0,-0.4269,-0.9043,"347. Counterexamples to stable-Morse and strong Arnold fixed-point bounds",15,"347-arnold-counterexamples"],[1,-0.4032,-0.8436,"Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two",15,"https://github.com/openai/math/blob/main/preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-in-Dimension-Twenty-Two-October-5-2026/hamiltonian-fixed-points-below-stable-morse-number.pdf"],[1,-0.3952,-0.8319,"Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number",15,"https://github.com/openai/math/blob/main/preprints/Sharpness-of-the-Cyclic-Integral-Floer-Bound-Below-the-Stable-Morse-Number-October-5-2026/sharp-cyclic-integral-floer-bound-below-stable-morse-number.pdf"],[1,-0.3992,-0.8455,"Hamiltonian Fixed Points Below the Stable Morse Number",15,"https://github.com/openai/math/blob/main/preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026/paper.pdf"],[1,-0.3912,-0.8338,"A nondegenerate counterexample to the Morse-number Arnold bound",15,"https://github.com/openai/math/blob/main/preprints/A-nondegenerate-counterexample-to-the-Morse-number-Arnold-bound-September-23-2026/paper.pdf"],[1,-0.3951,-0.8474,"Three fixed points on the symplectic quadric threefold",15,"https://github.com/openai/math/blob/main/preprints/A-degenerate-counterexample-to-the-critical-number-Arnold-bound-September-23-2026/paper.pdf"],[0,-0.4142,-0.9102,"340. A counterexample to the nearby Lagrangian conjecture",15,"340-nearby-lagrangian"],[1,-0.3873,-0.851,"A counterexample to the nearby Lagrangian conjecture",15,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-the-nearby-Lagrangian-conjecture-September-23-2026/paper.pdf"],[0,-0.4014,-0.9159,"345. Infinitely many closed geodesics on Riemannian spheres and closed three-manifolds",15,"345-closed-geodesics"],[1,-0.3753,-0.8564,"Infinitely many closed geodesic images on every Riemannian sphere",15,"https://github.com/openai/math/blob/main/preprints/Infinitely-many-closed-geodesic-images-on-every-Riemannian-sphere-September-24-2026/paper.pdf"],[0,-0.3885,-0.9214,"350. Yau’s nodal bounds: surfaces and higher dimensions",15,"350-yau-nodal-bounds"],[1,-0.3667,-0.8601,"Sharp nodal length on smooth surfaces",15,"https://github.com/openai/math/blob/main/preprints/Sharp-nodal-length-on-smooth-surfaces-September-23-2026/paper.pdf"],[1,-0.3578,-0.8486,"Smooth counterexamples to Yau's nodal upper bound in dimensions three and four",15,"https://github.com/openai/math/blob/main/preprints/Smooth-counterexamples-to-Yaus-nodal-upper-bound-in-dimensions-three-and-four-September-23-2026/paper.pdf"],[1,-0.3598,-0.863,"Power-law violations of Yau's nodal upper bound",15,"https://github.com/openai/math/blob/main/preprints/Power-law-violations-of-Yaus-nodal-upper-bound-September-23-2026/paper.pdf"],[0,-0.3756,-0.9268,"353. Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexample",15,"353-affine-bernstein"],[1,-0.3537,-0.8655,"A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten",15,"https://github.com/openai/math/blob/main/preprints/Smooth-Nonquadratic-Affine-Maximal-Graph-in-Dimension-Ten-October-5-2026/affine-maximal-dimension-ten.pdf"],[1,-0.3434,-0.8546,"The affine Bernstein theorem in dimensions three through nine",15,"https://github.com/openai/math/blob/main/preprints/The-affine-Bernstein-theorem-in-dimensions-three-through-nine-September-24-2026/main.pdf"],[0,-0.3625,-0.932,"354. The isoperimetric profile of the cubic three-torus",15,"354-cubic-torus-isoperimetric"],[1,-0.339,-0.8714,"The Isoperimetric Conjecture for the Cubic Flat Three-Torus",15,"https://github.com/openai/math/blob/main/preprints/The-Isoperimetric-Conjecture-for-the-Cubic-Flat-Three-Torus-September-24-2026/article.pdf"],[0,-0.3494,-0.937,"355. Unique tangent flows at the first surface singularity",15,"355-tangent-flow-uniqueness"],[1,-0.3267,-0.8761,"Uniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow",15,"https://github.com/openai/math/blob/main/preprints/Tangent-flow-uniqueness-2026-09-24/paper.pdf"],[0,-0.2765,-0.961,"365. Joint metric and connection recovery from one boundary patch",16,"365-calderon-one-patch"],[1,-0.2621,-0.8975,"Determination of a metric and a unitary connection from one boundary patch",16,"https://github.com/openai/math/blob/main/preprints/Determination-of-a-metric-and-a-unitary-connection-from-one-boundary-patch-October-5-2026/paper.pdf"],[1,-0.2546,-0.8851,"Smooth anisotropic uniqueness in the Calderón problem from one boundary patch",16,"https://github.com/openai/math/blob/main/preprints/Smooth-Anisotropic-Uniqueness-in-the-Calderon-Problem-from-One-Boundary-Patch-September-24-2026/paper.pdf"],[1,-0.2549,-0.8996,"Nonuniqueness for bounded measurable scalar conductivities in three dimensions",16,"https://github.com/openai/math/blob/main/preprints/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-Dimensions-September-23-2026/paper.pdf"],[0,-0.263,-0.9648,"372. Global uniqueness in smooth isotropic elasticity",16,"372-isotropic-elasticity-uniqueness"],[1,-0.2459,-0.9021,"Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem",16,"https://github.com/openai/math/blob/main/preprints/Global-Uniqueness-for-the-Smooth-Isotropic-Elasticity-Inverse-Problem-September-24-2026/article.pdf"],[0,-0.2494,-0.9684,"362. Global smoothness for relativistic Vlasov–Maxwell",16,"362-vlasov-maxwell-global"],[1,-0.2332,-0.9054,"Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system",16,"https://github.com/openai/math/blob/main/preprints/Global-classical-solutions-of-the-three-dimensional-relativistic-Vlasov-Maxwell-system-September-23-2026/paper.pdf"],[0,-0.2358,-0.9718,"363. Nonuniqueness with local conservation for the hard-sphere Boltzmann equation",16,"363-boltzmann-nonuniqueness"],[1,-0.2232,-0.908,"Nonuniqueness with local conservation for the hard-sphere Boltzmann equation",16,"https://github.com/openai/math/blob/main/preprints/Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026/paper.pdf"],[1,-0.2145,-0.8957,"Nonuniqueness for the periodic hard-sphere Boltzmann equation",16,"https://github.com/openai/math/blob/main/preprints/Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026/paper.pdf"],[0,-0.2222,-0.975,"364. Kinetic limits and fluctuations over the Boltzmann lifespan",16,"364-boltzmann-grad-lifespan"],[1,-0.2105,-0.911,"The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals",16,"https://github.com/openai/math/blob/main/preprints/The-Boltzmann-Grad-limit-for-stable-radial-potentials-on-regular-kinetic-intervals-September-23-2026/paper.pdf"],[1,-0.202,-0.8986,"Hard-sphere fluctuations on the regular Boltzmann lifespan",16,"https://github.com/openai/math/blob/main/preprints/Hard-sphere-fluctuations-on-the-regular-Boltzmann-lifespan-September-23-2026/paper.pdf"],[0,-0.2085,-0.978,"366. The planar Mumford–Shah regularity conjecture and local weak-L⁴ gradient bounds",16,"366-mumford-shah-interior"],[1,-0.1949,-0.9145,"Interior regularity of planar Mumford–Shah minimizers",16,"https://github.com/openai/math/blob/main/preprints/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026/Interior-regularity-of-planar-Mumford-Shah-minimizers-September-24-2026.pdf"],[0,-0.1948,-0.9809,"368. The three-dimensional Ball–Evans approximation problem",16,"368-ball-evans-3d"],[1,-0.1848,-0.9165,"Strong diffeomorphic approximation in three dimensions for 1≤p≤2",16,"https://github.com/openai/math/blob/main/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-1-le-p-le-2-September-24-2026/main.pdf"],[1,-0.1767,-0.9039,"Strong diffeomorphic approximation in three dimensions for p>2",16,"https://github.com/openai/math/blob/main/preprints/Strong-diffeomorphic-approximation-in-three-dimensions-for-p-gt-2-September-24-2026/main.pdf"],[0,-0.181,-0.9835,"367. The critical dimension for the one-phase Bernoulli problem",16,"367-bernoulli-critical-dimension"],[1,-0.1692,-0.9196,"The critical dimension for one-phase Bernoulli minimizers",16,"https://github.com/openai/math/blob/main/preprints/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026/The-critical-dimension-for-one-phase-Bernoulli-minimizers-September-24-2026.pdf"],[0,-0.1672,-0.9859,"375. De Giorgi's conjecture in dimension eight",16,"375-de-giorgi-dimension-eight"],[1,-0.1563,-0.9218,"A positive resolution of De Giorgi's conjecture in dimension eight",16,"https://github.com/openai/math/blob/main/preprints/De-Giorgis-conjecture-in-dimension-eight-September-26-2026/article.pdf"],[0,-0.1533,-0.9882,"369. The hot spots conjecture for simply connected planar domains",16,"369-hot-spots-simply-connected"],[1,-0.1434,-0.9239,"Strict hot spots and absence of interior critical points on smooth simply connected planar domains",16,"https://github.com/openai/math/blob/main/preprints/Strict-hot-spots-and-absence-of-interior-critical-points-on-smooth-simply-connected-planar-domains-September-24-2026/main.pdf"],[0,-0.1395,-0.9902,"370. The Lane–Emden and Hénon–Lane–Emden conjectures",16,"370-henon-lane-emden"],[1,-0.1304,-0.9259,"The Subcritical Hénon–Lane–Emden Conjecture",16,"https://github.com/openai/math/blob/main/preprints/The-Subcritical-Henon-Lane-Emden-Conjecture-September-24-2026/paper.pdf"],[0,-0.1256,-0.9921,"371. Stable blowup for the defocusing Schrödinger equation",16,"371-defocusing-nls-blowup"],[1,-0.1174,-0.9276,"Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus",16,"https://github.com/openai/math/blob/main/preprints/Stable-Self-Similar-Blowup-for-a-Supercritical-Defocusing-Schrodinger-Equation-on-the-Torus-September-24-2026/paper.pdf"],[0,-0.1117,-0.9937,"373. Nonattainment of the three-marginal Coulomb Monge problem",16,"373-coulomb-monge-counterexample"],[1,-0.1044,-0.9292,"A counterexample to the Monge ansatz for the three-marginal Coulomb cost",16,"https://github.com/openai/math/blob/main/preprints/A-counterexample-to-the-Monge-ansatz-for-the-three-marginal-Coulomb-cost-September-25-2026/paper.pdf"],[0,-0.0977,-0.9952,"374. Sharp one-third stability of Brenier maps",16,"374-brenier-one-third-stability"],[1,-0.0914,-0.9305,"Sharp One-Third Stability of Brenier Maps",16,"https://github.com/openai/math/blob/main/preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/article.pdf"],[0,-0.0838,-0.9965,"376. Universal computation in forced Navier–Stokes flows",16,"376-navier-stokes-computation"],[1,-0.0833,-0.9313,"Finite Instructions and Solenoidal Shear Flows",16,"https://github.com/openai/math/blob/main/preprints/Finite-Instructions-and-Solenoidal-Shear-Flows-September-27-2026/manuscript.pdf"],[1,-0.0808,-0.9174,"A Fixed Particle Test for Computation in a Forced Viscous Flow",16,"https://github.com/openai/math/blob/main/preprints/A-Fixed-Particle-Test-for-Computation-in-a-Forced-Viscous-Flow-September-27-2026/manuscript.pdf"],[1,-0.0808,-0.9315,"Universal Computation with Eventually Stationary Navier–Stokes Forcing",16,"https://github.com/openai/math/blob/main/preprints/Universal-Computation-with-Eventually-Stationary-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf"],[1,-0.0784,-0.9177,"Geometric Programs for Solenoidal Forcing",16,"https://github.com/openai/math/blob/main/preprints/Geometric-Programs-for-Solenoidal-Forcing-September-27-2026/manuscript.pdf"],[1,-0.0783,-0.9317,"Prefix Instructions and Incompressible Flows",16,"https://github.com/openai/math/blob/main/preprints/Prefix-Instructions-and-Incompressible-Flows-September-27-2026/manuscript.pdf"],[1,-0.0759,-0.9179,"Computation under Rapidly Vanishing Navier–Stokes Forcing",16,"https://github.com/openai/math/blob/main/preprints/Computation-under-Rapidly-Vanishing-Navier-Stokes-Forcing-September-27-2026/manuscript.pdf"],[1,-0.0758,-0.9319,"Velocity-Field Detection of Computation in Forced Navier–Stokes Flows",16,"https://github.com/openai/math/blob/main/preprints/Velocity-Field-Detection-of-Computation-in-Forced-Navier-Stokes-Flows-September-27-2026/manuscript.pdf"],[1,-0.0735,-0.9181,"Scalar Potentials and Slow Clocks for Forced Fluid Computation",16,"https://github.com/openai/math/blob/main/preprints/Scalar-Potentials-and-Slow-Clocks-for-Forced-Fluid-Computation-September-27-2026/manuscript.pdf"],[1,-0.0734,-0.9321,"Incompressible Box Transport and Finite Computation",16,"https://github.com/openai/math/blob/main/preprints/Incompressible-Box-Transport-and-Finite-Computation-October-6-2026/manuscript.pdf"],[0,-0.0698,-0.9976,"377. Interior C^(1,α) regularity for infinity-harmonic functions",16,"377-infinity-harmonic-c1alpha"],[1,-0.0652,-0.9327,"Uniform Interior C^(1,α) Estimates for Infinity-Harmonic Functions",16,"https://github.com/openai/math/blob/main/preprints/Uniform-Interior-C1alpha-Estimates-for-Infinity-Harmonic-Functions-October-4-2026/interior-c1-infinity-harmonic.pdf"],[2,-0.1693,-0.1876,"Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrödinger Operators",1960,"https://arxiv.org/abs/0400.97814",3],[2,0.3482,-0.6234,"Canonical singular hermitian metrics on relative canonical bundles",2007,"https://arxiv.org/abs/0704.0566",1],[2,-0.8314,0.0303,"The Cuntz semigroup as an invariant for (C^*)-algebras",2008,"https://arxiv.org/abs/0705.0341",1],[2,0.3654,-0.6657,"The Oka principle for sections of stratified fiber bundles",2010,"https://arxiv.org/abs/0705.0591",1],[2,-0.6076,0.2086,"On the near-equality case of the Positive Mass Theorem",2007,"https://arxiv.org/abs/0705.0677",2],[2,0.6119,-0.1904,"Integral concentration of idempotent trigonometric polynomials with gaps",2008,"https://arxiv.org/abs/0707.3023",3],[2,0.3596,-0.5617,"Seshadri fibrations of algebraic surfaces",2010,"https://arxiv.org/abs/0709.2592",2],[2,0.0375,0.7254,"Betti numbers of graded modules and cohomology of vector bundles",2009,"https://arxiv.org/abs/0712.1843",1],[2,0.4896,-0.6095,"Moving Codimension-One Subvarieties over Finite Fields",2007,"https://arxiv.org/abs/0712.2049",1],[2,0.4382,-0.5863,"Exts and Vertex Operators",2012,"https://arxiv.org/abs/0801.2565",1],[2,0.7122,0.4826,"Riesz (s)-Equilibrium Measures on (d)-Rectifiable Sets as (s) Approaches (d)",2008,"https://arxiv.org/abs/0808.3802",1],[2,-0.134,0.7664,"Second Maximal Subgroups of the Finite Alternating and Symmetric Groups",2001,"https://arxiv.org/abs/0810.3721",1],[2,0.7195,-0.4852,"Extra extension properties of equidimensional holomorphic mappings: results and open questions",2008,"https://arxiv.org/abs/0810.4588",1],[2,-0.8249,-0.0421,"The Hilbert transform of a measure",2009,"https://arxiv.org/abs/0811.0791",1],[2,-0.4389,-0.6395,"Scalar curvature behavior for finite-time singularity of Kähler–Ricci flow",2010,"https://arxiv.org/abs/0901.1474",1],[2,-0.5381,-0.6075,"On Gromov's scalar curvature conjecture",2010,"https://arxiv.org/abs/0901.4503",1],[2,-0.8032,-0.2419,"The congruence criterion for power operations in Morava E-theory",2009,"https://arxiv.org/abs/0902.2499",1],[2,0.3101,0.7171,"The Kakeya set and maximal conjectures for algebraic varieties over finite fields",2009,"https://arxiv.org/abs/0903.1879",1],[2,0.6045,-0.5816,"On deformations of Lagrangian fibrations",2016,"https://arxiv.org/abs/0903.2098",1],[2,0.8323,0.0414,"Maximally Stable Gaussian Partitions with Discrete Applications",2009,"https://arxiv.org/abs/0903.3362",1],[2,0.6626,-0.0178,"Tarski's plank problem revisited",2009,"https://arxiv.org/abs/0903.4637",4],[2,0.5042,-0.7076,"Abel maps for curves of compact type",2009,"https://arxiv.org/abs/0904.0039",1],[2,0.3512,-0.6195,"Functorial desingularization of quasi-excellent schemes in characteristic zero: the non-embedded case",2011,"https://arxiv.org/abs/0904.1592",1],[2,0.7968,0.0877,"Compression bounds for Lipschitz maps from the Heisenberg group to L_1",2011,"https://arxiv.org/abs/0910.2026",1],[2,-0.4763,-0.5815,"Reifenberg parameterizations for sets with holes",2012,"https://arxiv.org/abs/0910.4869",1],[2,-0.1652,-0.7718,"Constraints on stable equilibria with fluctuation-induced forces",2009,"https://arxiv.org/abs/0911.5364",1],[2,0.3743,-0.6765,"Functorial desingularization over Q: boundaries and the embedded case",2017,"https://arxiv.org/abs/0912.2570",1],[2,-0.4481,-0.5627,"Ricci curvature on Alexandrov spaces and rigidity theorems",2010,"https://arxiv.org/abs/0912.3190",1],[2,0.6018,-0.5023,"Duality and integrability on contact Fano manifolds",2010,"https://arxiv.org/abs/1002.0698",1],[2,0.6788,-0.2252,"Linear forms and quadratic uniformity for functions on Z_N",2010,"https://arxiv.org/abs/1002.2210",1],[2,0.7018,0.2564,"Noncommutative Rational Functions, Their Difference-Differential Calculus and Realizations",2010,"https://arxiv.org/abs/1003.0695",1],[2,0.1602,0.8081,"A note on the random greedy triangle-packing algorithm",2010,"https://arxiv.org/abs/1004.2418",1],[2,-0.3759,0.6425,"The norm of polynomials in large random and deterministic matrices",2010,"https://arxiv.org/abs/1004.4155",1],[2,0.5883,-0.531,"Groups of positive weighted deficiency and their applications",2013,"https://arxiv.org/abs/1007.1489",1],[2,0.0138,-0.7233,"A note on the Chevalley–Warning theorems",2011,"https://arxiv.org/abs/1009.3764",1],[2,-0.438,0.7246,"What makes slow samples slow in the Sherrington–Kirkpatrick model",2011,"https://arxiv.org/abs/1011.3420",1],[2,0.4723,-0.6133,"Orlov spectra: bounds and gaps",2012,"https://arxiv.org/abs/1012.0864",1],[2,0.5179,-0.4723,"The disk property of coverings of 1-convex surfaces",2012,"https://arxiv.org/abs/1104.1077",1],[2,0.2151,-0.726,"The distribution of totients",1998,"https://arxiv.org/abs/1104.3264",1],[2,0.3148,-0.8081,"Ind-coherent sheaves",2012,"https://arxiv.org/abs/1105.4857",1],[2,-0.7778,0.2336,"On some special cases of the entropy photon-number inequality",2011,"https://arxiv.org/abs/1107.2365",1],[2,0.3234,-0.5681,"Sources of log canonical centers",2012,"https://arxiv.org/abs/1107.2863",5],[2,-0.7677,0.2664,"The ADM mass of asymptotically flat hypersurfaces",2015,"https://arxiv.org/abs/1108.5474",1],[2,0.0124,-0.6606,"The Heegner point Kolyvagin system",2004,"https://arxiv.org/abs/1202.6340",2],[2,-0.5113,-0.5981,"Embedded minimal tori in S^3 and the Lawson conjecture",2013,"https://arxiv.org/abs/1203.6597",1],[2,0.0065,-0.7757,"On Shimura's decomposition",2013,"https://arxiv.org/abs/1205.7086",1],[2,0.1136,0.4119,"Tim van Erven and Peter Harremoës. Rényi divergence and Kullback–Leibler divergence. arXiv:1206.2459v2, 24 Apr",2014,"https://arxiv.org/abs/1206.2459",2],[2,0.2812,0.6628,"Improved lower bounds on book crossing numbers of complete graphs",2012,"https://arxiv.org/abs/1207.5701",1],[2,-0.4259,-0.6237,"Degenerate neckpinches in Ricci flow",2015,"https://arxiv.org/abs/1208.4312",1],[2,-0.8374,-0.0227,"Structure of Crossed Products by Strictly Proper Actions on Continuous-Trace Algebras",2012,"https://arxiv.org/abs/1208.4488",1],[2,-0.7568,0.0255,"Nuclear dimension, Z-stability, and algebraic simplicity for stably projectionless C^*-algebras",2013,"https://arxiv.org/abs/1210.2237",1],[2,-0.8706,-0.0826,"Ultraproducts of von Neumann algebras",2014,"https://arxiv.org/abs/1212.5457",1],[2,-0.7196,0.2375,"An area law and sub-exponential algorithm for 1D systems",2013,"https://arxiv.org/abs/1301.1162",1],[2,0.0267,-0.7775,"Abelian varieties over fields of finite characteristic",2014,"https://arxiv.org/abs/1301.5594",1],[2,0.3168,-0.5704,"On log canonical rings",2017,"https://arxiv.org/abs/1302.5194",2],[2,0.1441,-0.8028,"The algebraicity of ill-distributed sets",2014,"https://arxiv.org/abs/1307.0259",1],[2,0.3128,-0.5673,"An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities",2018,"https://arxiv.org/abs/1308.2033",2],[2,-0.361,-0.7073,"Summary of progress on the Blaschke conjecture",2016,"https://arxiv.org/abs/1309.1326",1],[2,0.7127,-0.0795,"Logarithmically-concave moment measures I",2013,"https://arxiv.org/abs/1309.2767",1],[2,0.0101,-0.8283,"Modularity and integral points on moduli schemes",2013,"https://arxiv.org/abs/1310.7263",1],[2,-0.6091,0.2068,"Weak null singularities in general relativity",2018,"https://arxiv.org/abs/1311.4970",3],[2,-0.7216,0.1416,"A parallel repetition theorem for entangled two-player one-round games under product distributions",2014,"https://arxiv.org/abs/1311.6309",1],[2,0.6252,0.3892,"The Complexity of Fairness through Equilibrium",2016,"https://arxiv.org/abs/1312.6249",1],[2,0.6555,0.1363,"Proc. 39th International Symposium on Symbolic and Algebraic Computation",2014,"https://arxiv.org/abs/1401.7714",2],[2,-0.0736,0.6615,"Gorenstein projective modules over triangular matrix rings",2014,"https://arxiv.org/abs/1402.4595",2],[2,0.0176,-0.8184,"Moments and distribution of central L-values of quadratic twists of elliptic curves",2015,"https://arxiv.org/abs/1403.7067",1],[2,0.299,0.6743,"Szemerédi–Trotter-type theorems in dimension 3",2014,"https://arxiv.org/abs/1405.2243",1],[2,-0.4253,0.6329,"On large girth regular graphs and random processes on trees",2018,"https://arxiv.org/abs/1406.4420",1],[2,0.4232,-0.7629,"Annales scientifiques de l'École Normale Supérieure",2017,"https://arxiv.org/abs/1406.6132",1],[2,0.6881,-0.4863,"Quantizations of conical symplectic resolutions II: category O and symplectic duality",2016,"https://arxiv.org/abs/1407.0964",1],[2,0.6543,-0.5178,"On the universal CH_0 group of cubic hypersurfaces",2017,"https://arxiv.org/abs/1407.7261",1],[2,0.3853,-0.7057,"Feuilletages holomorphes admettant une mesure transverse invariante",2014,"https://arxiv.org/abs/1409.3445",1],[2,0.4237,-0.5595,"Topological methods in moduli theory",2014,"https://arxiv.org/abs/1411.3235",1],[2,0.5308,-0.5056,"Higher analytic stacks and GAGA theorems",2016,"https://arxiv.org/abs/1412.5166",1],[2,0.4462,-0.4899,"A brief introduction to Enriques surfaces",2016,"https://arxiv.org/abs/1412.7744",7],[2,0.4199,-0.5713,"Poincaré duality of wonderful compactifications and tautological rings",2016,"https://arxiv.org/abs/1501.04742",1],[2,-0.6491,-0.2991,"Hyperbolic Coxeter groups with Sierpiński carpet boundary",2016,"https://arxiv.org/abs/1502.02044",1],[2,-0.4729,-0.6998,"Extending four dimensional Ricci flows with bounded scalar curvature",2020,"https://arxiv.org/abs/1504.02910",1],[2,0.1284,0.8154,"An inequality for the Fourier spectrum of parity decision trees",2015,"https://arxiv.org/abs/1506.01055",1],[2,-0.6455,0.2915,"The complexity of antiferromagnetic interactions and 2D lattices",2017,"https://arxiv.org/abs/1506.04014",1],[2,-0.3949,-0.6295,"The Cauchy problem for fully nonlinear parabolic systems on manifolds",2026,"https://arxiv.org/abs/1506.05030",1],[2,0.2209,-0.6863,"Feynman integrals and hyperlogarithms",2015,"https://arxiv.org/abs/1506.07243",1],[2,0.7646,0.1009,"Random Sampling of Contingency Tables via Probabilistic Divide-and-Conquer",2016,"https://arxiv.org/abs/1507.00070",1],[2,0.5162,0.4882,"Monic polynomials in Z[x] with roots in the unit disc",2015,"https://arxiv.org/abs/1507.02419",1],[2,-0.1196,0.8164,"A Murnaghan–Nakayama rule for values of unipotent characters in classical groups",2016,"https://arxiv.org/abs/1508.01627",1],[2,-0.6489,-0.4554,"Symmetric multilinear forms and polarization of polynomials",2009,"https://arxiv.org/abs/1509.05707",1],[2,-0.8622,0.0383,"On the nuclear dimension of strongly purely infinite C^*-algebras",2016,"https://arxiv.org/abs/1510.01917",1],[2,0.0589,0.7346,"Tohoku Math. J. (2)",2018,"https://arxiv.org/abs/1510.03573",1],[2,0.2649,-0.6947,"Higher traces, noncommutative motives, and the categorified Chern character",0,"https://arxiv.org/abs/1511.03589",1],[2,0.713,0.2371,"Randomization Can Be as Helpful as a Glimpse of the Future in Online Computation",2016,"https://arxiv.org/abs/1511.05886",1],[2,-0.4368,0.4991,"A survey on tame abstract elementary classes",2017,"https://arxiv.org/abs/1512.00060",2],[2,-0.2241,0.6782,"Lieb's concavity theorem, matrix geometric means, and semidefinite optimization",2020,"https://arxiv.org/abs/1512.03401",1],[2,-0.5634,-0.6607,"The Zero Set of a Real Analytic Function",2015,"https://arxiv.org/abs/1512.07276",1],[2,0.3851,-0.5898,"Newton–Okounkov bodies sprouting on the valuative tree",2016,"https://arxiv.org/abs/1602.02074",1],[2,0.5466,0.5773,"Quantum ergodicity and L^p norms of restrictions of eigenfunctions",2016,"https://arxiv.org/abs/1606.08066",1],[2,0.6526,-0.473,"Global weak rigidity of the Gauss–Codazzi–Ricci equations and isometric immersions of Riemannian manifolds with lower regularity",2017,"https://arxiv.org/abs/1607.06862",1],[2,-0.4696,-0.7094,"Elementary recursive quantifier elimination based on Thom encoding and sign determination",2017,"https://arxiv.org/abs/1609.02879",1],[2,0.7207,-0.2569,"Single annulus estimates for the variation-norm Hilbert transforms along Lipschitz vector fields",2017,"https://arxiv.org/abs/1610.05233",1],[2,-0.5531,-0.587,"Bounded cohomology of discrete groups",2016,"https://arxiv.org/abs/1610.08339",1],[2,0.2268,-0.5962,"Galois and Cartan cohomology of real groups",2016,"https://arxiv.org/abs/1611.05956",2],[2,-0.3734,0.7057,"Ali Bereyhi, Ralf R. Müller, and Hermann Schulz-Baldes. Statistical mechanics of MAP estimation: General repli",2016,"https://arxiv.org/abs/1612.01980",1],[2,-0.7696,0.186,"New Journal of Physics",2018,"https://arxiv.org/abs/1612.08938",1],[2,-0.3121,0.794,"Characterizations of SLE_ for (4,8) on Liouville quantum gravity",2021,"https://arxiv.org/abs/1701.05174",1],[2,-0.1698,0.699,"Connection probabilities for conformal loop ensembles",2018,"https://arxiv.org/abs/1702.02919",1],[2,0.7532,0.1163,"Nima Anari and Shayan Oveis Gharan. A generalization of permanent inequalities and applications in counting an",2017,"https://arxiv.org/abs/1702.02937",1],[2,0.7358,0.1748,"Faster Truncated Integer Multiplication",2023,"https://arxiv.org/abs/1703.00640",1],[2,-0.5246,-0.5598,"Positive scalar curvature and minimal hypersurface singularities",2017,"https://arxiv.org/abs/1704.05490",1],[2,0.2858,0.5891,"Covering complete graphs by monochromatically bounded sets",2017,"https://arxiv.org/abs/1705.09370",2],[2,0.6371,-0.5658,"Topology of hypersurface singularities",2003,"https://arxiv.org/abs/1706.04386",1],[2,-0.7376,-0.2115,"Towards the K(2)-local homotopy groups of Z",2019,"https://arxiv.org/abs/1706.06170",1],[2,0.4421,-0.4931,"A decomposition theorem for projective manifolds with nef anticanonical bundle",2019,"https://arxiv.org/abs/1706.08814",3],[2,-0.1606,0.644,"Lectures on the Ising and Potts models on the hypercubic lattice",2017,"https://arxiv.org/abs/1707.00520",3],[2,0.4152,-0.739,"Automorphism groups of compact complex surfaces",2019,"https://arxiv.org/abs/1708.03566",1],[2,0.0495,0.8697,"Extended plus closure in complete local rings",2021,"https://arxiv.org/abs/1708.05761",1],[2,0.5153,-0.5008,"The semi-infinite intersection cohomology sheaf-II: the Ran space version",2021,"https://arxiv.org/abs/1708.07205",1],[2,-0.6638,0.4633,"Quasiconvexity and Dehn filling",2019,"https://arxiv.org/abs/1708.07968",1],[2,0.43,-0.5804,"The combinatorics of Lehn's conjecture",2019,"https://arxiv.org/abs/1708.08129",1],[2,-0.6353,-0.1854,"Étale cohomology of diamonds",2026,"https://arxiv.org/abs/1709.07343",3],[2,-0.6535,-0.4959,"On the separable quotient problem for Banach spaces",2018,"https://arxiv.org/abs/1709.09646",1],[2,-0.8341,0.0318,"Ranks of operators in simple C^*-algebras with stable rank one",2020,"https://arxiv.org/abs/1711.04721",1],[2,0.0302,-0.7557,"Vologodsky integration on curves with semi-stable reduction",2017,"https://arxiv.org/abs/1711.06950",1],[2,0.2898,-0.8181,"How many zeroes? Counting the number of solutions of systems of polynomials via geometry at infinity (Draft III)",2021,"https://arxiv.org/abs/1806.05346",1],[2,0.5513,-0.5173,"Limit mixed Hodge structures of hyperkähler manifolds",2020,"https://arxiv.org/abs/1807.04030",1],[2,0.7509,-0.1078,"Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018",2018,"https://arxiv.org/abs/1809.02376",1],[2,-0.7776,0.3603,"Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice",2020,"https://arxiv.org/abs/1809.09041",1],[2,-0.6592,0.2957,"Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials",2019,"https://arxiv.org/abs/1810.09010",1],[2,0.7714,0.3524,"Near-Linear Time Insertion-Deletion Codes and (1+ )-Approximating Edit Distance via Indexing",2019,"https://arxiv.org/abs/1810.11863",1],[2,0.5763,-0.5687,"The local and global versions of the Whittaker category",2020,"https://arxiv.org/abs/1811.02468",1],[2,0.5662,-0.6399,"Dickson's Lemma, Higman's Theorem and Beyond: a survey of some basic results in order theory",2018,"https://arxiv.org/abs/1812.03024",1],[2,0.7873,-0.3813,"Sharp local smoothing estimates for Fourier integral operators",2019,"https://arxiv.org/abs/1812.11616",1],[2,-0.6096,-0.1859,"Chromatic structures in stable homotopy theory",2020,"https://arxiv.org/abs/1901.09004",4],[2,0.6061,-0.5357,"Deformation and Smoothing of Singularities",2019,"https://arxiv.org/abs/1903.03661",1],[2,-0.5167,-0.5806,"On macroscopic dimension of non-spin 4-manifolds",2019,"https://arxiv.org/abs/1904.00846",1],[2,-0.3184,0.7817,"Homogenization of random quasiconformal mappings and random Delauney triangulations",2019,"https://arxiv.org/abs/1905.07932",1],[2,-0.7517,0.3199,"Transition between characters of classical groups, decomposition of Gelfand–Tsetlin patterns and last passage percolation",2022,"https://arxiv.org/abs/1905.09756",1],[2,-0.2695,0.6532,"KPZ formulas for the Liouville quantum gravity metric",2019,"https://arxiv.org/abs/1905.11790",1],[2,0.3913,0.6194,"Concentration estimates for algebraic intersections",2023,"https://arxiv.org/abs/1906.05843",1],[2,-0.7003,-0.2625,"The fibre of the degree 3 map, Anick spaces and the double suspension",2020,"https://arxiv.org/abs/1908.05302",1],[2,0.2488,-0.6167,"A toy model for the Drinfeld–Lafforgue shtuka construction",2022,"https://arxiv.org/abs/1908.05420",2],[2,0.4778,-0.4475,"Mapping class group and global Torelli theorem for hyperkähler manifolds: an erratum",2019,"https://arxiv.org/abs/1908.11772",2],[2,0.4904,-0.5755,"Smoothly bounded domains covering compact manifolds",2021,"https://arxiv.org/abs/1910.05288",1],[2,0.205,0.768,"Geometric and Functional Analysis",2020,"https://arxiv.org/abs/1911.10579",1],[2,-0.8672,-0.037,"Unitary representations of groups, duals, and characters",2019,"https://arxiv.org/abs/1912.07262",1],[2,-0.8674,-0.0283,"Baum–Connes and the Fourier–Mukai transform",2020,"https://arxiv.org/abs/2001.06124",1],[2,0.3993,-0.5906,"Affine varieties with equivalent cylinders",2002,"https://arxiv.org/abs/2001.9124",1],[2,0.7747,-0.083,"Log-Brunn–Minkowski inequality under symmetry",2022,"https://arxiv.org/abs/2002.12239",1],[2,0.0444,0.7139,"Lim Ulrich sequences and Lech's conjecture",2023,"https://arxiv.org/abs/2005.02338",1],[2,-0.109,-0.8472,"Random tensors, propagation of randomness, and nonlinear dispersive equations",2020,"https://arxiv.org/abs/2006.09285",1],[2,0.3771,-0.6763,"The log minimal model program for Kähler 3-folds",2024,"https://arxiv.org/abs/2009.05924",1],[2,0.3611,0.7477,"Generalizations and strengthenings of Ryser's conjecture",2021,"https://arxiv.org/abs/2009.07239",1],[2,-0.1739,-0.8134,"Erratum to Endpoint regularity for 2d Mumford–Shah minimizers: On a theorem of Andersson and Mikayelyan",0,"https://arxiv.org/abs/2010.04888",1],[2,0.741,0.1375,"A symmetric attractor-decomposition lifting algorithm for parity games",2020,"https://arxiv.org/abs/2010.08288",1],[2,0.4164,-0.7524,"Acta Mathematica Sinica, English Series",2023,"https://arxiv.org/abs/2011.02236",1],[2,-0.4702,-0.5802,"Boundary Regularity and Stability for Spaces with Ricci Bounded Below",2020,"https://arxiv.org/abs/2011.08383",1],[2,-0.1369,0.8047,"A Promenade through Correct Test Sequences I: Degree of Constructible Sets, Bézout's Inequality and Density",2021,"https://arxiv.org/abs/2012.15296",1],[2,0.4957,0.5548,"Entropy bounds for discrete random variables via maximal coupling",2013,"https://arxiv.org/abs/2013.22745",1],[2,-0.1023,-0.7388,"Liouville type theorems for higher order elliptic systems",2026,"https://arxiv.org/abs/2025.11382",1],[2,0.3722,-0.6929,"Nakai–Moishezon ampleness criterion for real line bundles",2023,"https://arxiv.org/abs/2101.00806",1],[2,-0.4537,0.6624,"Typicality and entropy of processes on infinite trees",2022,"https://arxiv.org/abs/2102.02653",1],[2,0.8354,0.1315,"Yeganeh Alimohammadi, Nima Anari, Kirankumar Shiragur, and Thuy-Duong Vuong. Fractionally log-concave and sect",2021,"https://arxiv.org/abs/2102.02708",1],[2,0.0254,-0.7631,"Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves",2021,"https://arxiv.org/abs/2102.11808",1],[2,-0.3595,0.6587,"Proof of the Contiguity Conjecture and Lognormal Limit for the Symmetric Perceptron",2021,"https://arxiv.org/abs/2102.13069",1],[2,0.639,-0.3011,"Improved discrete restriction for the parabola",2023,"https://arxiv.org/abs/2103.09795",1],[2,0.8243,0.1014,"Linear-time uniform generation of random sparse contingency tables with specified marginals",2021,"https://arxiv.org/abs/2104.09413",1],[2,0.2551,0.7824,"Analysis of Boolean Functions",2021,"https://arxiv.org/abs/2105.10386",1],[2,-0.396,-0.5873,"Integrability of Einstein deformations and desingularizations",2021,"https://arxiv.org/abs/2105.13193",1],[2,-0.6109,0.2102,"The Characteristic Gluing Problem for the Einstein Vacuum Equations. Linear and Non-linear Analysis",2021,"https://arxiv.org/abs/2107.02449",2],[2,0.4043,0.6949,"Reducing linear Hadwiger's conjecture to coloring small graphs",2021,"https://arxiv.org/abs/2108.01633",1],[2,-0.6664,0.4484,"Parabolic subgroups of two-dimensional Artin groups and systolic-by-function complexes",2022,"https://arxiv.org/abs/2108.04929",1],[2,0.0174,-0.7958,"On the soft p-converse to a theorem of Gross–Zagier and Kolyvagin",2023,"https://arxiv.org/abs/2109.12344",1],[2,-0.816,-0.2863,"Adams spectral sequences and Franke's algebraicity conjecture",2026,"https://arxiv.org/abs/2110.03669",1],[2,0.8188,-0.0374,"Prefix Discrepancy, Smoothed Analysis, and Combinatorial Vector Balancing",2021,"https://arxiv.org/abs/2111.07049",1],[2,0.3734,-0.6669,"Singular metrics and a conjecture by Campana and Peternell",2022,"https://arxiv.org/abs/2202.01295",1],[2,0.2859,-0.762,"International Mathematics Research Notices",2024,"https://arxiv.org/abs/2203.01768",1],[2,0.2994,-0.7712,"On the unramified Eisenstein spectrum",0,"https://arxiv.org/abs/2203.03486",1],[2,-0.2872,0.81,"On Tail Triviality of Negatively Dependent Stochastic Processes",2023,"https://arxiv.org/abs/2203.03935",1],[2,-0.3357,0.5663,"Sampling from the Sherrington–Kirkpatrick Gibbs measure via algorithmic stochastic localization",2022,"https://arxiv.org/abs/2203.05093",2],[2,-0.3202,0.8067,"The SLE loop via conformal welding of quantum disks",2023,"https://arxiv.org/abs/2205.05074",1],[2,0.3256,-0.5811,"Vanishing theorems for projective morphisms between complex analytic spaces",2025,"https://arxiv.org/abs/2205.14801",2],[2,0.7377,-0.1574,"The Nazarov proof of the non-symmetric Bourgain–Milman inequality",2024,"https://arxiv.org/abs/2206.06188",1],[2,0.0186,-0.6732,"The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication",2024,"https://arxiv.org/abs/2206.09874",2],[2,-0.6352,0.4271,"On parabolic subgroups of Artin–Tits groups",2023,"https://arxiv.org/abs/2207.06528",1],[2,0.6699,-0.5311,"Motivic invariants of birational maps",2024,"https://arxiv.org/abs/2207.07389",1],[2,0.8054,0.3159,"I. Rubinstein, Average-Case to (shifted) Worst-Case Reduction for the Trace Reconstruction Problem, arXiv:2207",0,"https://arxiv.org/abs/2207.11489",1],[2,0.8209,0.0503,"An Analogue of Bonami's Lemma for Functions on Spaces of Linear Maps, and 2-2 Games",2026,"https://arxiv.org/abs/2209.04243",1],[2,-0.5144,-0.5948,"Volume gap for minimal submanifolds in spheres",2022,"https://arxiv.org/abs/2210.04654",1],[2,-0.5642,0.6061,"Witnessed Symmetric Choice and Interpretations in Fixed-Point Logic with Counting",2026,"https://arxiv.org/abs/2210.07869",1],[2,-0.0569,0.7716,"The correspondence between the canonical and semicanonical bases",2023,"https://arxiv.org/abs/2210.16758",1],[2,-0.1007,0.8254,"Simplicial volume and 0-strata of separating filtrations",2024,"https://arxiv.org/abs/2211.06362",1],[2,0.313,-0.57,"Contraction theorem for generalized pairs",2022,"https://arxiv.org/abs/2211.10800",2],[2,-0.3612,0.6189,"Bounds on the covariance matrix of the Sherrington–Kirkpatrick model",2024,"https://arxiv.org/abs/2212.02445",1],[2,-0.7055,0.4573,"Asymptotic cohomology and uniform stability for lattices in semisimple groups",2023,"https://arxiv.org/abs/2301.00476",1],[2,0.8608,-0.0923,"Regularity Theory for Elliptic PDE",2023,"https://arxiv.org/abs/2301.01564",1],[2,0.5787,-0.6215,"The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map",2025,"https://arxiv.org/abs/2301.11232",1],[2,-0.511,0.3996,"The Kervaire conjecture and the minimal complexity of surfaces",2026,"https://arxiv.org/abs/2302.09811",2],[2,-0.7319,-0.3006,"An elementary proof of the chromatic Smith fixed point theorem",2024,"https://arxiv.org/abs/2303.02022",1],[2,0.4411,0.7339,"A Primer on Semiconvex Functions in General Potential Theories",2025,"https://arxiv.org/abs/2303.14477",1],[2,0.5276,-0.5932,"Variation of mixed Hodge structure and its applications",2025,"https://arxiv.org/abs/2304.00672",1],[2,0.1932,-0.7541,"On Elliott's conjecture and applications",2023,"https://arxiv.org/abs/2304.05344",1],[2,-0.3545,-0.6516,"On closed almost complex four manifolds",2023,"https://arxiv.org/abs/2305.09213",1],[2,-0.7825,-0.0727,"Ergodic states on type III_1 factors and ergodic actions",2024,"https://arxiv.org/abs/2305.14217",1],[2,0.2657,-0.6793,"Constructible sheaves on schemes",2023,"https://arxiv.org/abs/2305.18131",1],[2,-0.517,0.3965,"Progress around the Boone–Higman conjecture",2025,"https://arxiv.org/abs/2306.16356",2],[2,0.7305,0.4449,"Multi-Player Zero-Sum Markov Games with Networked Separable Interactions",2023,"https://arxiv.org/abs/2307.09470",1],[2,0.5435,-0.5413,"Meromorphic Hodge moduli spaces for reductive groups in arbitrary characteristic",2025,"https://arxiv.org/abs/2307.16755",1],[2,-0.6993,0.1357,"An efficient quantum factoring algorithm",2024,"https://arxiv.org/abs/2308.06572",1],[2,-0.7525,-0.0705,"Kadison's problem for type III subfactors and the bicentralizer conjecture",2025,"https://arxiv.org/abs/2308.15163",1],[2,-0.7886,-0.0289,"Selfless C^*-Algebras",2025,"https://arxiv.org/abs/2309.14188",1],[2,-0.6514,-0.3381,"Rational homology 3-spheres and SL(2, C) representations",2023,"https://arxiv.org/abs/2310.17965",1],[2,0.7271,0.3261,"Faster Sublinear-Time Edit Distance",2023,"https://arxiv.org/abs/2312.01759",1],[2,-0.474,-0.5346,"Dimension of the singular set for 2-valued stationary Lipschitz graphs",2023,"https://arxiv.org/abs/2401.00279",1],[2,0.3938,0.5338,"Improved Bounds for Szemerédi's Theorem",2024,"https://arxiv.org/abs/2402.17995",2],[2,0.3001,-0.7725,"Central motives on parahoric flag varieties",2025,"https://arxiv.org/abs/2403.11007",1],[2,0.7075,-0.4809,"A counterexample to the PIA conjecture for minimal log discrepancies",2026,"https://arxiv.org/abs/2404.06164",1],[2,0.8289,0.0407,"Near Optimal Alphabet-Soundness Tradeoff PCPs",2026,"https://arxiv.org/abs/2404.07441",1],[2,0.432,-0.623,"On embedding of linear hypersurfaces",2024,"https://arxiv.org/abs/2405.07205",1],[2,0.1889,0.7633,"Ryser's conjecture and stochastic matrices",2024,"https://arxiv.org/abs/2405.13033",1],[2,0.2429,-0.5983,"Motivic realization of rigid G-local systems on curves and tamely ramified geometric Langlands",2024,"https://arxiv.org/abs/2405.18268",3],[2,0.7606,0.0687,"Better Coloring of 3-Colorable Graphs",2024,"https://arxiv.org/abs/2406.00357",1],[2,0.6356,-0.1373,"Entropy, slicing problem and functional Mahler's conjecture",2026,"https://arxiv.org/abs/2406.07406",2],[2,0.7835,0.3509,"Almost Linear Size Edit Distance Sketch",2024,"https://arxiv.org/abs/2406.11225",1],[2,-0.7339,0.2004,"Lieb–Robinson bounds in the continuum via localized frames",2024,"https://arxiv.org/abs/2406.15670",1],[2,0.087,-0.7572,"Motives, mapping class groups, and monodromy",2024,"https://arxiv.org/abs/2409.02234",1],[2,0.2711,-0.6989,"Arnaud Eteve and Cong Xue. Nearby cycles commute with proper direct image on stacks of shtukas. arXiv:2409.164",2024,"https://arxiv.org/abs/2409.16474",1],[2,0.3021,-0.7695,"Coherent sheaves, sheared D-modules, and Hochschild cochains",2024,"https://arxiv.org/abs/2410.10692",1],[2,-0.0358,0.8333,"Quantum LDPC codes with transversal non-Clifford gates via products of algebraic codes",2024,"https://arxiv.org/abs/2410.14662",1],[2,0.6235,-0.4483,"Hikita surjectivity for N/!!/!!/T",2024,"https://arxiv.org/abs/2410.16217",1],[2,0.0401,0.6465,"Lim Cohen–Macaulay sequences of modules",2026,"https://arxiv.org/abs/2410.18372",3],[2,0.1962,0.6747,"Coboundary expansion of coset complexes",2025,"https://arxiv.org/abs/2411.02819",1],[2,0.1444,0.7148,"The hypergraph removal process",2025,"https://arxiv.org/abs/2412.15039",1],[2,0.7019,0.0749,"Sparsest Cut and Eigenvalue Multiplicities on Low Degree Abelian Cayley Graphs",2025,"https://arxiv.org/abs/2412.17115",1],[2,0.3908,-0.6992,"Canonical bundle formula and a conjecture on certain algebraic fiber spaces by Schnell",2025,"https://arxiv.org/abs/2412.19769",1],[2,0.3707,0.6775,"On the Chromatic Number of the Plane for Map-Type Colorings",2025,"https://arxiv.org/abs/2502.01958",1],[2,-0.4359,-0.4848,"C^ rectifiability of stationary varifolds",2025,"https://arxiv.org/abs/2503.00649",2],[2,0.5867,-0.3017,"Curved Kakeya sets and Nikodym problems on manifolds",2025,"https://arxiv.org/abs/2503.11574",2],[2,0.6403,-0.5607,"On the Milnor fibres of initial forms of topologically equivalent holomorphic functions",2025,"https://arxiv.org/abs/2503.17127",1],[2,0.0238,-0.6494,"The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture",2025,"https://arxiv.org/abs/2503.17619",2],[2,-0.8082,0.1004,"Relative Positions of Half-sided Modular Inclusions",2025,"https://arxiv.org/abs/2503.18036",1],[2,0.7241,0.112,"Xiaoyu Chen, Weiming Feng, Zhe Ju, Tianshun Miao, Yitong Yin, and Xinyuan Zhang. Faster mixing of the Jerrum–S",2025,"https://arxiv.org/abs/2504.02740",1],[2,0.2502,0.8342,"New cosystolic high-dimensional expanders from KMS groups",2026,"https://arxiv.org/abs/2504.05823",1],[2,-0.1162,0.7465,"Tame categorical local Langlands correspondence",2025,"https://arxiv.org/abs/2504.07482",1],[2,0.3322,0.7906,"Sublevels in arrangements and the spherical arc crossing number of complete graphs",2025,"https://arxiv.org/abs/2504.07770",1],[2,-0.322,-0.7326,"Persistent homology of function spaces",2025,"https://arxiv.org/abs/2505.16907",1],[2,0.334,-0.562,"On the volume of K-semistable Fano manifolds",2026,"https://arxiv.org/abs/2506.17420",2],[2,-0.8101,-0.2438,"Duality and linearization for p-adic Lie groups",2025,"https://arxiv.org/abs/2506.18174",1],[2,0.0111,0.851,"A conjecture on the tensor ideal for an elementary p-group generated by the restriction of a Steinberg module",2025,"https://arxiv.org/abs/2507.02722",1],[2,0.6415,0.5235,"Hausdorff dimension of self-similar measures and sets with common fixed point structure",2026,"https://arxiv.org/abs/2507.05835",1],[2,-0.7505,-0.2861,"Towards the p=3 Kervaire Invariant Problem: The E_2-page for the homotopy fixed points spectral sequence computing _*(E_6^hC_9)",2025,"https://arxiv.org/abs/2507.10157",1],[2,0.4379,-0.7458,"Positivity, singularities, and boundedness",2025,"https://arxiv.org/abs/2507.18394",1],[2,-0.7539,0.0037,"Sections and cones",2026,"https://arxiv.org/abs/2507.22783",1],[2,0.6364,-0.503,"Birational invariants from Hodge structures and quantum multiplication",2026,"https://arxiv.org/abs/2508.05105",1],[2,-0.3705,0.6757,"The convex structure of the Parisi formula for multi-species spin glasses",2025,"https://arxiv.org/abs/2508.06397",1],[2,-0.7195,-0.0269,"Weyl groups and rigidity of von Neumann algebras",2026,"https://arxiv.org/abs/2508.08194",1],[2,-0.3706,0.7201,"Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph",2025,"https://arxiv.org/abs/2508.17049",1],[2,0.6159,-0.6023,"Non-vanishing of quantum geometric Whittaker coefficients",2025,"https://arxiv.org/abs/2508.19058",1],[2,0.3915,-0.5107,"Baily–Borel compactifications of period images and the b-semiampleness conjecture",2025,"https://arxiv.org/abs/2508.19215",6],[2,0.0241,-0.7745,"Mod non-vanishing of self-dual Hecke L-values over CM fields and applications",2026,"https://arxiv.org/abs/2508.19706",1],[2,0.6236,-0.1932,"A generalization of Littlewood's L^ flat theorem, >0",2025,"https://arxiv.org/abs/2509.04212",3],[2,-0.2555,0.6058,"The near critical random bond Ising model via embedding deformation",2025,"https://arxiv.org/abs/2509.08928",2],[2,-0.2149,0.6248,"The near-critical random bond FK-percolation model",2025,"https://arxiv.org/abs/2509.08938",3],[2,0.5045,0.5611,"Non-classifiability of mixing zero-entropy diffeomorphisms up to isomorphism",2025,"https://arxiv.org/abs/2509.09003",1],[2,-0.7425,0.4541,"Dehn functions: computations, lower bounds, and the quasiisometric rigidity of Sol_5",2025,"https://arxiv.org/abs/2509.12823",1],[2,-0.3706,-0.6492,"Packing stability and the subleading asymptotics of symplectic Weyl laws",2025,"https://arxiv.org/abs/2509.15390",1],[2,-0.4956,-0.5593,"Stationary and stable varifolds with singularities",2026,"https://arxiv.org/abs/2509.21508",1],[2,-0.359,-0.7823,"Bordism from quasi-isomorphism",2026,"https://arxiv.org/abs/2509.21587",1],[2,0.7578,-0.3394,"Riesz transforms and the BAUPP and BWGL criteria for uniform rectifiability",2025,"https://arxiv.org/abs/2509.26547",1],[2,0.6052,-0.4853,"Unboundedness for motivic invariants of birational automorphisms",2026,"https://arxiv.org/abs/2510.00290",1],[2,-0.638,0.1498,"Linear-Size QAC^0 Channels: Learning, Testing and Hardness",2025,"https://arxiv.org/abs/2510.00593",2],[2,0.0465,0.8215,"Ulrich modules over local rings of dimension two",2025,"https://arxiv.org/abs/2510.02698",1],[2,0.2142,-0.6835,"Arithmetic holonomy 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hard",2025,"https://arxiv.org/abs/2512.02724",1],[2,0.7363,-0.382,"A survey of the Kakeya conjecture, 2000–2025",2025,"https://arxiv.org/abs/2512.09397",1],[2,0.5065,-0.6473,"Stability conditions on products of curves and Hilbert schemes of surfaces",2025,"https://arxiv.org/abs/2512.14207",1],[2,0.7654,0.0852,"Integrality gaps for sparsest cut and minimum linear arrangement problems",2006,"https://arxiv.org/abs/2516.11325",1],[2,-0.6189,-0.5409,"Lipschitz-free spaces over uniformly discrete metric spaces are 3-Schur",2026,"https://arxiv.org/abs/2604.01875",1],[2,-0.4183,-0.609,"Long-time existence of some geometric flows with bounded scalar curvature",2026,"https://arxiv.org/abs/2606.10354",1],[2,-0.4935,-0.4414,"The numerical range is a 2-spectral set",2026,"https://arxiv.org/abs/2607.1919",2],[2,-0.4807,-0.437,"Two boundary-certificate proofs of the Crouzeix theorem: Fiberwise Fourier recurrence and defect-Gram telescoping",2026,"https://arxiv.org/abs/2608.1661",2],[2,0.6084,0.5253,"H. Chen, Z. Li, R. Zhang, and X. Zhang, The number of limit cycles of piecewise linear Liénard systems, arXiv:",2026,"https://arxiv.org/abs/2608.19542",1],[2,-0.3705,0.6512,"Fluctuations of the free energy of the Sherrington–Kirkpatrick model with ferromagnetic interaction",2026,"https://arxiv.org/abs/2608.25362",1],[2,0.5053,-0.6997,"Tautological pushforwards of Hilbert schemes of points on curves and surfaces",2026,"https://arxiv.org/abs/2608.25447",1],[2,-0.6224,0.2151,"Spherically symmetric inextendibility of weak null singularities with Christoffel symbols in L^s_loc",2026,"https://arxiv.org/abs/2609.05167",2],[2,0.5706,-0.5386,"Lagrangian fibrations on hyperkähler manifolds have no multiple fibers in codimension one",2026,"https://arxiv.org/abs/2609.14804",1],[2,0.7824,-0.3753,"Sharp Strichartz estimates on the one-dimensional torus",2026,"https://arxiv.org/abs/2609.18670",1],[2,0.6785,-0.3429,"Kakeya and Furstenberg problems for sticky sets of tubes",2026,"https://arxiv.org/abs/2609.22035",1],[2,0.5765,-0.6202,"Stable ample vector bundles without semipositive Kobayashi curvature",2026,"https://arxiv.org/abs/2609.37309",1],[2,0.8255,0.0936,"A PRG for Lipschitz functions of polynomials with applications to sparsest cut",2013,"https://arxiv.org/abs/8608.24886",1],[2,-0.0953,-0.6995,"Liouville-type theorems and bounds of solutions for Hardy-Hénon elliptic systems",2012,"https://arxiv.org/abs/ade/1355702",1],[2,-0.1087,-0.7625,"A new dynamical approach of Emden–Fowler equations and systems",2010,"https://arxiv.org/abs/ade/1355854",1],[2,0.3816,-0.6329,"Log smooth deformation theory",1994,"https://arxiv.org/abs/alg-geom/9406004",1],[2,-0.5094,0.52,"Weak and Strong Normalization of Tiered Pure Type Systems via Type-Preserving Translation",2023,"https://arxiv.org/abs/attachments/2023050",1],[2,0.2725,-0.3917,"Multiplicative Number Theory",2000,"https://arxiv.org/abs/book/9780387",2],[2,-0.5512,0.3871,"Lie Groups and Lie Algebras: Chapters 4–6",2002,"https://arxiv.org/abs/book/9783540",2],[2,0.1769,-0.83,"Ergodic Properties of Algebraic Fields",1968,"https://arxiv.org/abs/book/9783642",1],[2,0.3064,-0.4651,"Lectures on Differential Geometry",1994,"https://arxiv.org/abs/bookpubs/0000030",7],[2,0.4872,-0.5189,"Analytic Methods in Algebraic Geometry",2012,"https://arxiv.org/abs/bookpubs/0000037",1],[2,-0.4263,0.753,"Beyond storage capacity in a single model neuron: Continuous replica symmetry breaking",2000,"https://arxiv.org/abs/cond-mat/0003360",1],[2,-0.1121,-0.789,"Nonexistence of positive solutions of semilinear elliptic systems in R^N",1996,"https://arxiv.org/abs/die/1367969",1],[2,0.0247,-0.7035,"Automorphic forms and automorphic representations",1979,"https://arxiv.org/abs/doc/2006457",1],[2,0.3527,0.564,"Complexity Issues in VLSI: Optimal Layouts for the Shuffle-Exchange Graph and Other Networks",1983,"https://arxiv.org/abs/edu/9780262",3],[2,-0.6308,0.2179,"The interior of charged black holes and the problem of uniqueness in general relativity",2005,"https://arxiv.org/abs/gr-qc/0307013",3],[2,-0.6246,0.2219,"The dynamics of general relativity",1962,"https://arxiv.org/abs/gr-qc/0405109",2],[2,-0.2148,0.6719,"Percolation and the existence of a soft phase in the classical Heisenberg model",2002,"https://arxiv.org/abs/hep-th/0011199",1],[2,0.4714,-0.6064,"D-branes on Calabi–Yau manifolds",2004,"https://arxiv.org/abs/hep-th/0403166",1],[2,-0.6129,0.414,"Notes on the quantum tetrahedron",2002,"https://arxiv.org/abs/math-ph/0011006",1],[2,-0.6604,0.2683,"Continuity properties of Schrödinger semigroups with magnetic fields",2000,"https://arxiv.org/abs/math-ph/9808004",1],[2,0.4949,-0.5974,"L^2-invariants of locally symmetric spaces",2002,"https://arxiv.org/abs/math/0009039",1],[2,-0.2053,0.83,"One-arm exponent for critical 2D percolation",2002,"https://arxiv.org/abs/math/0108211",1],[2,0.0301,0.7158,"Resultants and Chow forms via exterior syzygies",2003,"https://arxiv.org/abs/math/0111040",1],[2,0.483,-0.4292,"Rational Curves on Varieties",2002,"https://arxiv.org/abs/math/0203173",2],[2,0.6184,-0.5934,"Quot functors for Deligne–Mumford stacks",2003,"https://arxiv.org/abs/math/0204307",1],[2,-0.7023,0.4171,"Genericity, the Arzhantseva–Ol'shanskii method and the Isomorphism Problem for One-Relator Groups",2002,"https://arxiv.org/abs/math/0210307",1],[2,-0.8039,-0.2893,"Cosimplicial objects and little n-cubes. I",2004,"https://arxiv.org/abs/math/0211368",1],[2,0.4889,0.5136,"Quantum ergodicity of boundary values of eigenfunctions: A control theory approach",2003,"https://arxiv.org/abs/math/0301349",1],[2,0.6259,0.2258,"On the Multiplicity of the Hyperelliptic Integrals",2003,"https://arxiv.org/abs/math/0312323",2],[2,-0.6848,-0.3835,"Omega-categories and chain complexes",2004,"https://arxiv.org/abs/math/0403237",1],[2,-0.29,0.8115,"Choosing a Spanning Tree for the Integer Lattice Uniformly",1991,"https://arxiv.org/abs/math/0404043",1],[2,-0.2418,0.6962,"Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings via Transfer-Impedances",1993,"https://arxiv.org/abs/math/0404048",1],[2,0.5297,-0.5117,"Intersection Cohomology, Monodromy, and the Milnor Fiber",2005,"https://arxiv.org/abs/math/0404312",1],[2,-0.4194,0.6395,"Invariant percolation and harmonic Dirichlet functions",2005,"https://arxiv.org/abs/math/0405458",1],[2,0.4026,-0.6849,"Rational connectedness of log Q-Fano varieties",2005,"https://arxiv.org/abs/math/0408301",1],[2,0.0113,-0.7444,"Elliptic divisibility sequences and undecidable problems about rational points",2007,"https://arxiv.org/abs/math/0412473",1],[2,0.7565,0.3685,"The Proof of Tchakaloff's Theorem",2005,"https://arxiv.org/abs/math/0502473",1],[2,0.4228,-0.7053,"Cone theorem via Deligne–Mumford stacks",2009,"https://arxiv.org/abs/math/0505043",1],[2,-0.21,0.6264,"An inequality of Hadamard type for permanents",2006,"https://arxiv.org/abs/math/0508096",4],[2,-0.0537,0.8179,"Structure of the tensor product semigroup",2006,"https://arxiv.org/abs/math/0508186",1],[2,0.6623,0.4471,"How Many Entries of a Typical Orthogonal Matrix Can Be Approximated by Independent Normals?",2006,"https://arxiv.org/abs/math/0601457",1],[2,0.3616,-0.7892,"Additive properties of product sets in fields of prime order",2007,"https://arxiv.org/abs/math/0702729",1],[2,0.531,-0.5024,"Tame stacks in positive characteristic",2008,"https://arxiv.org/abs/math/0703310",1],[2,0.5732,-0.3121,"A bilinear approach to the restriction and Kakeya conjectures",1998,"https://arxiv.org/abs/math/9807163",2],[2,0.3392,-0.7575,"Denser Egyptian fractions",2000,"https://arxiv.org/abs/math/9811112",1],[2,0.215,-0.6783,"Advanced determinant calculus",1999,"https://arxiv.org/abs/math/9902004",1],[2,-0.1564,0.6373,"Lévy Processes",1996,"https://arxiv.org/abs/org/9780521",2],[2,0.4847,-0.5589,"Lectures on Resolution of Singularities",2007,"https://arxiv.org/abs/paperback/9780691",1],[2,0.5059,0.5622,"On two-graphs, and Shult's characterization of symplectic and orthogonal geometries over GF(2)",1973,"https://arxiv.org/abs/portal/2088237",1],[2,0.7511,0.2466,"General Topology",1955,"https://arxiv.org/abs/products/9780486",1],[2,0.1821,0.7864,"On covering of graphs",1968,"https://arxiv.org/abs/publication/2686527",1],[2,0.6115,-0.5295,"On the Arnold corank, the Zariski multiplicity, and the tangent Milnor fiber problems",2026,"https://arxiv.org/abs/publication/4136237",1],[2,-0.7922,0.1369,"Exact Quantum Query Complexity for Total Boolean Functions",2004,"https://arxiv.org/abs/quant-ph/0403168",1],[2,-0.7142,0.2125,"Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras",2005,"https://arxiv.org/abs/quant-ph/0506089",1],[2,-0.7378,0.2379,"Security of Quantum Key Distribution",2005,"https://arxiv.org/abs/quant-ph/0512258",1],[2,-0.8162,0.1459,"Tight Bounds on Quantum Searching",1998,"https://arxiv.org/abs/quant-ph/9605034",1],[2,-0.8064,0.1428,"A Quantum Algorithm for Finding the Minimum",1996,"https://arxiv.org/abs/quant-ph/9607014",1],[2,0.5192,-0.5915,"On cohomology groups of nef line bundles tensorized with multiplier ideal sheaves on compact Kähler manifolds",1997,"https://arxiv.org/abs/record/2009615",1],[2,0.4872,0.5075,"Lectures on Chemical Reaction Networks",1979,"https://arxiv.org/abs/records/1063190",1],[2,-0.3343,0.7956,"An Elementary Proof of the Jordan–Schoenflies Theorem",1951,"https://arxiv.org/abs/stable/2031698",1],[2,-0.0261,0.8681,"Sofic groups and dynamical systems",2000,"https://arxiv.org/abs/stable/2505132",1],[2,0.8469,-0.1044,"Linear Programming Bound for Sphere Packing in Dimension 2",2026,"https://arxiv.org/abs/vkr/1163516",1],[2,0.2137,0.6289,"Some Open Problems I Like",2004,"https://arxiv.org/abs/web/2021102",2],[2,0.7736,0.3418,"Simple Markov-chain algorithms for generating bipartite graphs and tournaments",1999,"https://doi.org/10.1002/(sici)1098-2418(199907)14:4",1],[2,-0.6218,0.2221,"Riemannian Geometry",2016,"https://doi.org/10.1007/978-3-319-26654-1",2],[2,0.6579,-0.0833,"Sur les fonctions absolument monotones",1929,"https://doi.org/10.1007/bf02592679",2],[2,-0.3766,0.5175,"Liquid–Vapor Transition in a Model of a Continuum Particle System with Finite-Range Modified Kac Pair Potential",2026,"https://doi.org/10.1007/s00220-026-05735-w",2],[2,-0.3585,-0.7042,"Index parity of closed geodesics and rigidity of Hopf fibrations",2001,"https://doi.org/10.1007/s002220100123",1],[2,0.4018,0.6902,"Connected Matchings in Graphs with Independence Number Two",2025,"https://doi.org/10.1007/s00373-025-02971-0",1],[2,0.3391,-0.5364,"Algebraic structures of groups of birational transformations",2017,"https://doi.org/10.1090/pspum/094/01620",3],[2,-0.7837,-0.3391,"Totally disconnected groups (not) acting on two-manifolds",2019,"https://doi.org/10.1090/pspum/102/01809",1],[2,-0.0056,0.8733,"Algebras over infinite fields",1956,"https://doi.org/10.1090/s0002-9939-1956-0075933-9",1],[2,-0.0732,-0.7997,"Tight stability bounds for entropic Brenier maps",2025,"https://doi.org/10.1093/imrn/rnaf078",1],[2,0.209,-0.7272,"Poisson approximation of prime divisors of shifted primes",2025,"https://doi.org/10.1093/imrn/rnaf079",1],[2,-0.6555,-0.2853,"Analytic K-Homology",2000,"https://doi.org/10.1093/oso/9780198511762.001.0001",1],[2,-0.5183,0.238,"Optimization of the Sherrington–Kirkpatrick Hamiltonian",2025,"https://doi.org/10.1137/20m132016x",3],[2,0.6657,-0.425,"Sûgaku",1984,"https://doi.org/10.11429/sugaku1947.36.110",1],[2,0.6699,0.066,"The PCP Theorem by Gap Amplification",2007,"https://doi.org/10.1145/1236457.1236459",2],[2,0.7639,0.2889,"Proceedings of the Nineteenth Annual ACM–SIAM Symposium on Discrete Algorithms (SODA)",2008,"https://doi.org/10.1145/1347082.1347125",1],[2,0.6221,0.3763,"Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits",2025,"https://doi.org/10.1145/3734215",1],[2,0.6448,0.0581,"Some Optimal Inapproximability Results",2001,"https://doi.org/10.1145/502090.502098",5],[2,0.7979,0.216,"Completeness Classes in Algebra",1979,"https://doi.org/10.1145/800135.804419",1],[2,0.2391,-0.8311,"Some of my favourite problems in number theory, combinatorics, and geometry",1995,"https://doi.org/10.11606/resimeusp.v2i2.74798",1],[2,0.861,0.1255,"Annals of Probability",2020,"https://doi.org/10.1214/20-aop1453",1],[2,-0.5257,-0.4888,"A convergence criterion and the fixed point theorem for the nonexpansive mappings in any reflexive Banach space",2021,"https://doi.org/10.13140/rg.2.2.24153.24168",1],[2,0.0302,-0.8248,"Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula",1989,"https://doi.org/10.1515/9781400882498",1],[2,0.0155,-0.6696,"Notes on elliptic curves. II",1965,"https://doi.org/10.1515/crll.1965.218.79",2],[2,0.375,-0.6686,"Dynamics on K3 surfaces: Salem numbers and Siegel disks",2002,"https://doi.org/10.1515/crll.2002.036",1],[2,0.7034,-0.1353,"Logarithmic bounds for isoperimetry and slices of convex sets",2023,"https://doi.org/10.15781/jsjy-0b06",1],[2,-0.6815,-0.1987,"Hochschild cohomology and p-adic Lie groups",2021,"https://doi.org/10.17879/59019526003",1],[2,0.3042,-0.5618,"Pluricanonical systems of projective varieties of general type. II",2007,"https://doi.org/10.18910/6697",2],[2,0.4474,0.5915,"Monochromatic sums and products of polynomials",2024,"https://doi.org/10.19086/da.117575",1],[2,0.6538,-0.0931,"Universally optimal periodic configurations in the plane",2025,"https://doi.org/10.19086/da.144978",2],[2,0.6186,0.3439,"Relationships between the number of inputs and other complexity measures of Boolean functions",2022,"https://doi.org/10.19086/da.57741",1],[2,-0.369,0.758,"On the time constant and path length of first-passage percolation",1980,"https://doi.org/10.2307/1426744",1],[2,-0.7106,0.4546,"Means for the bounded functions and ergodicity of the bounded representations of semi-groups",1950,"https://doi.org/10.2307/1990358",1],[2,0.0235,-0.7048,"On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3",1985,"https://doi.org/10.2307/2007967",1],[2,-0.415,0.5789,"An elementary proof of the Jordan–Schoenflies theorem",1951,"https://doi.org/10.2307/2031698",1],[2,0.7398,-0.0637,"The measure of the set of admissible lattices",1958,"https://doi.org/10.2307/2032994",1],[2,-0.7818,-0.3332,"The Orbit Spaces of Totally Disconnected Groups of Transformations on Manifolds",1961,"https://doi.org/10.2307/2034112",1],[2,-0.5216,-0.483,"A fixed point free nonexpansive map",1981,"https://doi.org/10.2307/2043954",1],[2,-0.5623,0.6124,"Proof of Recursive Unsolvability of Hilbert's Tenth Problem",1991,"https://doi.org/10.2307/2324421",1],[2,0.245,-0.7683,"Newman's short proof of the prime number theorem",1997,"https://doi.org/10.2307/2975232",1],[2,-0.3128,0.5878,"Inequalities with applications to percolation and reliability",1985,"https://doi.org/10.2307/3213860",3],[2,0.3984,-0.7184,"Versions of injectivity and extension theorems",2017,"https://doi.org/10.24033/asens.2325.pdf",1],[2,0.3691,-0.545,"Flips and abundance for algebraic threefolds: A summer seminar at the University of Utah (Salt Lake City, 1991)",1992,"https://doi.org/10.24033/ast.198",3],[2,-0.0383,0.7712,"Some conjectures extending Castelnuovo theory",1993,"https://doi.org/10.24033/ast.245",1],[2,-0.7566,-0.2189,"The display of a formal p-divisible group",2002,"https://doi.org/10.24033/ast.534",1],[2,0.2804,-0.6537,"Sur quelques résultats récents de transcendance",1991,"https://doi.org/10.24033/ast.93",1],[2,0.1165,-0.8388,"New large value estimates for Dirichlet polynomials",2026,"https://doi.org/10.4007/annals.2026.203.2.6",1],[2,-0.5549,-0.4409,"Markov convexity and local rigidity of distorted metrics",2013,"https://doi.org/10.4171/jems/362",1],[2,0.8153,0.0718,"NP-Hardness of Almost Coloring Almost 3-Colorable Graphs",2023,"https://doi.org/10.4230/lipics.approx/random.2023.51",1],[2,0.8403,0.1414,"Improved Error Reduction for Weighted PRGs",2026,"https://doi.org/10.4230/lipics.approx/random.2026.39",1],[2,0.6919,0.4116,"A Depth-Five Lower Bound for Iterated Matrix Multiplication",2015,"https://doi.org/10.4230/lipics.ccc.2015.183",1],[2,0.6504,0.3938,"Low-Depth Algebraic Circuit Lower Bounds over Any Field",2024,"https://doi.org/10.4230/lipics.ccc.2024.31",1],[2,-0.4488,0.4675,"Choiceless Computation and Symmetry: Limitations of Definability",2021,"https://doi.org/10.4230/lipics.csl.2021.33",2],[2,0.7305,0.3429,"A Simpler QPTAS for Scheduling Jobs with Precedence Constraints",2022,"https://doi.org/10.4230/lipics.esa.2022.40",1],[2,0.838,0.2163,"33rd Annual European Symposium on Algorithms (ESA)",2025,"https://doi.org/10.4230/lipics.esa.2025.48",1],[2,0.2432,0.704,"Faster Matroid Partition Algorithms",2023,"https://doi.org/10.4230/lipics.icalp.2023.104",1],[2,0.6501,0.3915,"Low-Depth Arithmetic Circuit Lower Bounds: Bypassing Set-Multilinearization",2023,"https://doi.org/10.4230/lipics.icalp.2023.12",1],[2,0.6361,-0.0955,"53rd International Colloquium on Automata, Languages, and Programming",2026,"https://doi.org/10.4230/lipics.icalp.2026.32",2],[2,0.2366,0.8128,"ISAAC 2021",2021,"https://doi.org/10.4230/lipics.isaac.2021.56",1],[2,0.6556,0.3423,"34th International Symposium on Algorithms and Computation (ISAAC 2023)",2023,"https://doi.org/10.4230/lipics.isaac.2023.29",1],[2,0.6606,0.0489,"Small-Set Expansion in Shortcode Graph and the 2-to-2 Conjecture",2019,"https://doi.org/10.4230/lipics.itcs.2019.9",5],[2,0.8413,0.1038,"Counting and Sampling Perfect Matchings in Regular Expanding Non-Bipartite Graphs",2022,"https://doi.org/10.4230/lipics.itcs.2022.61",1],[2,0.6374,0.129,"Value Iteration Using Universal Graphs and the Complexity of Mean Payoff Games",2020,"https://doi.org/10.4230/lipics.mfcs.2020.34",2],[2,0.6007,0.3626,"Improved Lower Bound, and Proof Barrier, for Constant Depth Algebraic Circuits",2022,"https://doi.org/10.4230/lipics.mfcs.2022.18",1],[2,-0.454,0.4804,"Lower Bounds for Choiceless Polynomial Time via Symmetric XOR-Circuits",2023,"https://doi.org/10.4230/lipics.mfcs.2023.73",2],[2,0.6322,0.1965,"49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)",2024,"https://doi.org/10.4230/lipics.mfcs.2024.82",3],[2,-0.5478,0.5588,"An Irrelevancy-Eliminating Translation of Pure Type Systems",2023,"https://doi.org/10.4230/lipics.types.2022.7",1],[2,0.395,0.6535,"A Path Crossing Lemma and Applications to Nonlinear Second Order Equations under Slowly Varying Perturbations",2010,"https://doi.org/10.4418/2010.65.2.13",1],[2,-0.5075,0.5592,"On Diophantine Singlefold Specifications",2024,"https://doi.org/10.4418/2024.79.2.18",1],[2,0.1415,0.7826,"The cycle-complete graph Ramsey numbers R(C_n,K_8), for 10 n 15",2023,"https://doi.org/10.47013/16.4.6",1],[2,0.6997,0.4319,"Settling the Complexity of Computing Two-Player Nash Equilibria",2007,"https://doi.org/10.48550/arxiv.0704.1678",1],[2,0.7511,0.3599,"Simpler Analyses of Local Search Algorithms for Facility Location",2008,"https://doi.org/10.48550/arxiv.0809.2554",1],[2,0.5274,-0.6839,"Gepner type stability conditions on graded matrix factorizations",2013,"https://doi.org/10.48550/arxiv.1302.6293",1],[2,0.474,-0.617,"Gepner point and strong Bogomolov–Gieseker inequality for quintic 3-folds",2013,"https://doi.org/10.48550/arxiv.1305.0345",1],[2,0.7954,0.3181,"Navigating Central Path with Electrical Flows: From Flows to Matchings, and Back",2013,"https://doi.org/10.48550/arxiv.1307.2205",1],[2,-0.6218,-0.1805,"Étale cohomology of diamonds",2026,"https://doi.org/10.48550/arxiv.1709.07343",2],[2,-0.2951,-0.7907,"Łojasiewicz inequalities, uniqueness and rigidity for cylindrical self-shrinkers",2024,"https://doi.org/10.48550/arxiv.2011.01633",1],[2,-0.7324,0.2492,"Kerr stability for small angular momentum",2021,"https://doi.org/10.48550/arxiv.2104.11857",1],[2,-0.1588,-0.6246,"Regularity estimates and open problems in kinetic equations",2022,"https://doi.org/10.48550/arxiv.2204.06401",2],[2,-0.8125,0.273,"Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes",2022,"https://doi.org/10.48550/arxiv.2205.14808",1],[2,0.236,0.7268,"The suprema of selector processes with the application to positive infinitely divisible processes",2026,"https://doi.org/10.48550/arxiv.2212.14636",1],[2,-0.2299,0.7692,"Conformally invariant fields out of Brownian loop soups",2023,"https://doi.org/10.48550/arxiv.2307.10740",1],[2,0.6633,0.273,"A Dynamic Shortest Paths Toolbox: Low-Congestion Vertex Sparsifiers and their Applications",2023,"https://doi.org/10.48550/arxiv.2311.06402",1],[2,0.754,0.3108,"Almost-Linear Time Algorithms for Incremental Graphs: Cycle Detection, SCCs, s–t Shortest Path, and Minimum-Cost Flow",2023,"https://doi.org/10.48550/arxiv.2311.18295",1],[2,0.3048,0.7612,"A proof of the Stanley–Stembridge conjecture",2025,"https://doi.org/10.48550/arxiv.2410.12758",1],[2,0.2274,0.6822,"Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds",2024,"https://doi.org/10.48550/arxiv.2412.00917",1],[2,-0.1228,-0.8251,"Friedlander's inequality and the de Rham complex",2026,"https://doi.org/10.48550/arxiv.2412.03369",1],[2,0.7548,-0.3958,"L^p-boundedness of the Bochner–Riesz operator",2026,"https://doi.org/10.48550/arxiv.2501.12742",1],[2,0.2584,-0.7373,"Diophantine FLINT-HILLS Series",2025,"https://doi.org/10.48550/arxiv.2502.03474",1],[2,0.6388,-0.3235,"Curved Kakeya sets and Nikodym problems on manifolds",2025,"https://doi.org/10.48550/arxiv.2503.11574",1],[2,-0.752,-0.1447,"Hyperinvariant subspaces of block-triangular operators on Hilbert space",2025,"https://doi.org/10.48550/arxiv.2503.13005",1],[2,0.0082,-0.6641,"The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture",2025,"https://doi.org/10.48550/arxiv.2503.17619",2],[2,-0.2505,-0.6813,"Cylindrical tangent flows in mean curvature flow",2026,"https://doi.org/10.48550/arxiv.2508.05517",1],[2,-0.1287,-0.802,"Sharp bounds on the failure of the hot spots conjecture",2025,"https://doi.org/10.48550/arxiv.2508.16321",1],[2,-0.3809,-0.63,"On the negatively pinched properties of the disc bundles over negatively pinched Kähler manifolds",2025,"https://doi.org/10.48550/arxiv.2509.04179",1],[2,0.7487,0.1656,"Kronecker Powers, Orthogonal Vectors, and the Asymptotic Spectrum",2025,"https://doi.org/10.48550/arxiv.2509.14489",1],[2,-0.262,-0.7171,"Mean curvature flow through singularities",2025,"https://doi.org/10.48550/arxiv.2510.01355",1],[2,-0.1892,0.7895,"Critical Percolation Exploration Path and SLE(6): a Proof of Convergence",2006,"https://doi.org/10.48550/arxiv.math/0604487",1],[2,-0.2276,0.7989,"Über ein zweidimensionales klassisches Konfigurationsmodell",1963,"https://doi.org/10.5169/seals-113387",1],[2,0.447,-0.63,"Commentarii Mathematici Helvetici",1955,"https://doi.org/10.5169/seals-23275",1],[2,-0.6479,-0.0238,"Geometric K-theory for Lie groups and foliations",2000,"https://doi.org/10.5169/seals-64793",2],[2,0.0084,-0.7484,"Resolution of the Birch and Swinnerton-Dyer Conjecture",2026,"https://doi.org/10.5281/zenodo.15338612",1],[2,-0.4569,-0.5364,"Sharp Schrödinger inequalities for embedded hypersurfaces",2026,"https://doi.org/10.5281/zenodo.22999024",1],[2,0.3949,-0.7177,"Local and global aspects of Lie superposition theorem",2010,"https://doi.org/10.5802/jolt.606.pdf",1],[2,0.6736,0.2609,"Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization",2000,"https://doi.org/10.7907/2k6y-ch43",1],[2,0.0087,-0.817,"p-Converse to a Theorem of Gross–Zagier, Kolyvagin, and Rubin for Small Primes",2021,"https://doi.org/10.7907/ccbk-ht28",1],[2,0.286,0.5923,"Permutation Decompositions of (0,1)-Matrices and Decomposition Transversals",1971,"https://doi.org/10.7907/j1z1-sk19",2],[2,0.7745,0.3494,"ACM 217: Probability in High Dimensions",2021,"https://doi.org/10.7907/mxr0-c422",1],[2,-0.4046,-0.6772,"ACM 204: Matrix Analysis",2022,"https://doi.org/10.7907/nwsv-df59",1],[2,0.0247,-0.711,"On the nonnegativity of $L(\\frac{1}{2},\\pi)$ for ${\\rm SO}_{2n+1}$",2003,"https://doi.org/10.4007/annals.2003.157.891",1],[2,-0.1781,-0.635,"The X-Ray Transform for Connections in Negative Curvature",2015,"https://doi.org/10.1007/s00220-015-2510-x",2],[2,0.3891,0.5181,"On sets of integers containing k elements in arithmetic progression",1975,"https://doi.org/10.4064/aa-27-1-199-245",2],[2,-0.445,-0.6692,"Integral curvature bounds and bounded diameter",2000,"https://doi.org/10.4310/cag.2000.v8.n3.a4",1],[2,0.2392,-0.7553,"A Determinantal Approach to Irrationality",2016,"https://doi.org/10.1007/s00365-016-9333-7",1],[2,0.4133,-0.7508,"Regularizing Properties of the Kähler–Ricci Flow",2013,"https://doi.org/10.1007/978-3-319-00819-6_4",1],[2,-0.1331,0.6481,"The length of vectors in representation spaces",1979,"https://doi.org/10.1007/bfb0066647",2],[2,0.0608,-0.8033,"Sous-variétés d’une variété abélienne et points de torsion",1983,"https://doi.org/10.1007/978-1-4757-9284-3_14",1],[2,0.036,-0.7356,"Sur quelques représentations modulaires et p -adiques de GL 2 ( Q p ): I",2003,"https://doi.org/10.1023/a:1026191928449",1],[2,-0.3627,-0.718,"An Inequality Arising in Geometry",1978,"https://doi.org/10.1007/978-3-642-61876-5_14",1],[2,-0.7319,-0.2972,"On the divisibility of #Hom(Γ,G) by |G|",2011,"https://doi.org/10.1016/j.jalgebra.2011.09.040",1],[2,-0.6487,-0.3261,"Weighted projective varieties",1982,"https://doi.org/10.1007/bfb0101508",1],[2,-0.6873,-0.1988,"Étale Chern Classes at the Prime 2",1993,"https://doi.org/10.1007/978-94-017-0695-7_14",1],[2,0.1041,-0.7664,"A generalisation of Artin's conjecture for primitive roots",1976,"https://doi.org/10.4064/aa-29-2-113-146",1],[2,0.2728,0.6641,"Combinatorics of Coxeter Groups",2005,"https://doi.org/10.1007/3-540-27596-7",1],[2,-0.4676,-0.7198,"Curvature operators: pinching estimates and geometric examples",1978,"https://doi.org/10.24033/asens.1340",1],[2,0.8018,0.3131,"Trace Reconstruction Revisited",2014,"https://doi.org/10.1007/978-3-662-44777-2_57",1],[2,-0.1407,-0.7446,"Existence and regularity for a minimum problem with free boundary.",1981,"https://doi.org/10.1515/crll.1981.325.105",1],[2,0.4249,0.7639,"The Characterization Problem for Isotropic Covariance Functions",1999,"https://doi.org/10.1023/a:1007597415185",1],[2,0.169,-0.6418,"A larger sieve",1971,"https://doi.org/10.4064/aa-18-1-77-81",3],[2,-0.5981,0.4067,"Dynamics of the Action of a CAT(0) Group on the Boundary",2001,"https://doi.org/10.1023/a:1010301824765",1],[2,0.0456,-0.7505,"Familles de courbes hyperelliptiques à multiplications réelles",1991,"https://doi.org/10.1007/978-1-4612-0457-2_9",1],[2,-0.4399,-0.2645,"p-Divisible Groups",1967,"https://doi.org/10.1007/978-3-642-87942-5_12",5],[2,0.2776,-0.708,"Riemann surfaces and spin structures",1971,"https://doi.org/10.24033/asens.1205",1],[2,0.6404,-0.1435,"The Hörmander Proof of the Bourgain–Milman Theorem",2012,"https://doi.org/10.1007/978-3-642-29849-3_20",2],[2,-0.678,-0.4933,"Sur les espaces complets",1930,"https://doi.org/10.4064/fm-15-1-301-309",1],[2,0.0325,-0.6528,"P-ADIC Properties of Modular Schemes and Modular Forms",2009,"https://doi.org/10.1007/978-3-540-37802-0_3",2],[2,0.141,-0.6296,"A Brun-Titschmarsh theorem for multiplicative functions.",1980,"https://doi.org/10.1515/crll.1980.313.161",3],[2,-0.2807,0.5734,"Probability on Trees and Networks",2016,"https://doi.org/10.1017/9781316672815",3],[2,-0.5056,-0.6488,"Gradient flows for semiconvex functions on metric measure spaces – existence, uniqueness, and Lipschitz continuity",2017,"https://doi.org/10.1090/proc/14061",1],[2,-0.7408,0.0111,"Central Sequences in C*-Algebras and Strongly Purely Infinite Algebras",2006,"https://doi.org/10.1007/978-3-540-34197-0_10",1],[2,-0.2648,0.6094,"Geometric Topology in Dimensions 2 and 3",1977,"https://doi.org/10.1007/978-1-4612-9906-6",2],[2,-0.2167,0.6228,"How to Encipher Messages on a Small Domain",2009,"https://doi.org/10.1007/978-3-642-03356-8_17",8],[2,0.4533,-0.48,"Orbifolds, special varieties and classification theory",2004,"https://doi.org/10.5802/aif.2027",9],[2,0.0022,0.7278,"Some exact sequences in the higher K-theory of rings",1973,"https://doi.org/10.1007/bfb0067059",1],[2,0.1296,-0.7011,"ON THE PROBLEM OF JACOBSTHAL",1978,"https://doi.org/10.1515/dema-1978-0121",1],[2,-0.38,0.6699,"The Sherrington-Kirkpatrick Model",2013,"https://doi.org/10.1007/978-1-4614-6289-7",1],[2,-0.1962,0.6741,"Equivalence of Liouville measure and Gaussian free field",2014,"https://doi.org/10.48550/arxiv.1410.5407",1],[2,0.0646,-0.659,"Über die Classenzahl quadratischer Zahlkörper",1935,"https://doi.org/10.4064/aa-1-1-83-86",4],[2,-0.715,-0.358,"Surgery formulae for Casson's invariant and extensions to homology lens spaces.",1990,"https://doi.org/10.1515/crll.1990.405.181",1],[2,0.7543,0.1522,"The asymptotic spectrum of tensors.",1988,"https://doi.org/10.1515/crll.1988.384.102",1],[2,0.278,-0.7108,"On the derived category of perverse sheaves",1987,"https://doi.org/10.1007/bfb0078365",1],[2,0.2201,-0.6234,"Reconstructing function fields from rational quotients of mod- $$\\ell $$ ℓ Galois groups",2015,"https://doi.org/10.1007/s00208-015-1327-4",3],[2,-0.6064,0.4362,"Problems on Automatic Groups",1992,"https://doi.org/10.1007/978-1-4613-9730-4_10",1],[2,-0.348,0.7282,"Aspects of first passage percolation",2006,"https://doi.org/10.1007/bfb0074919",1],[2,0.3492,0.5536,"Crossing-Free Subgraphs",1982,"https://doi.org/10.1016/s0304-0208(08)73484-4",3],[2,0.377,-0.5495,"Hodge modules on complex tori and generic vanishing for compact Kähler manifolds",2017,"https://doi.org/10.2140/gt.2017.21.2419",2],[2,0.0081,0.809,"Finite generation of the groups Ki of rings of algebraic integers",1973,"https://doi.org/10.1007/bfb0067056",1],[2,0.6335,0.3816,"Lower Bounds for Depth-4 Formulas Computing Iterated Matrix Multiplication",2015,"https://doi.org/10.1137/140990280",1],[2,0.3616,-0.7836,"On an Indeterminate Equation",1921,"https://doi.org/10.11429/ppmsj1919.3.6_78",1],[2,0.2163,-0.6224,"On Two Conjectures in Birational Algebraic Geometry",1991,"https://doi.org/10.1007/978-4-431-68172-4_2",2],[2,0.3622,-0.6514,"L2 vanishing theorems for positive line bundles and adjunction theory",1996,"https://doi.org/10.1007/bfb0094302",1],[2,-0.4017,-0.6236,"Curvature and the eigenvalues of the Laplacian",1967,"https://doi.org/10.4310/jdg/1214427880",1],[2,-0.694,-0.2131,"Notes on the Hopkins-Miller theorem",1998,"https://doi.org/10.1090/conm/220/03107",1],[2,0.6272,0.0312,"Approximate formulas for some functions of prime numbers",1962,"https://doi.org/10.1215/ijm/1255631807",4],[2,0.2092,0.6095,"An O (log n /log log n )-approximation Algorithm for the Asymmetric Traveling Salesman Problem",2010,"https://doi.org/10.1137/1.9781611973075.32",2],[2,0.4068,-0.7388,"An overview of Morihiko Saito's theory of mixed Hodge modules",2014,"https://arxiv.org/abs/1405.3096",1],[2,0.7124,0.1787,"Space–Time Tradeoffs for Subset Sum: An Improved Worst Case Algorithm",2013,"https://doi.org/10.1007/978-3-642-39206-1_5",1],[2,-0.2656,-0.0237,"Functions of Bounded Variation and Free Discontinuity Problems",2000,"https://doi.org/10.1093/oso/9780198502456.001.0001",9],[2,-0.2598,-0.0406,"The splitting theorem for manifolds of nonnegative Ricci curvature",1971,"https://doi.org/10.4310/jdg/1214430220",5],[2,-0.6114,0.2191,"An Alexandrov–Fenchel-Type Inequality in Hyperbolic Space with an Application to a Penrose Inequality",2015,"https://doi.org/10.1007/s00023-015-0414-0",2],[2,-0.6823,0.2221,"On Quantum Estimation, Quantum Cloning and Finite Quantum de Finetti Theorems",2011,"https://doi.org/10.1007/978-3-642-18073-6_2",1],[2,0.039,-0.6456,"Opera de Cribro",2010,"https://doi.org/10.1090/coll/057",3],[2,0.0563,-0.6464,"Degeneration of Abelian Varieties",1990,"https://doi.org/10.1007/978-3-662-02632-8",3],[2,0.0751,-0.8379,"Models of Shimura varieties in mixed characteristics",1998,"https://doi.org/10.1017/cbo9780511662010.008",1],[2,0.5261,0.5701,"Topological Entropy and the First Homology Group",1975,"https://doi.org/10.1007/bfb0121394",1],[2,-0.7692,0.0944,"Restrictions imposed by superconformal invariance on quantum field theories",1998,"https://doi.org/10.4310/atmp.1998.v2.n4.a4",1],[2,0.6661,-0.0535,"The Lax conjecture is true",2005,"https://doi.org/10.1090/s0002-9939-05-07752-x",3],[2,0.0698,-0.3674,"The prediction theory of multivariate stochastic processes: I. The regularity condition",1957,"https://doi.org/10.1007/bf02404472",2],[2,0.6995,-0.0944,"Pointwise theorems for amenable groups",1999,"https://doi.org/10.1090/s1079-6762-99-00065-7",1],[2,0.3907,-0.5273,"Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension",2016,"https://doi.org/10.1090/jams/871",5],[2,0.7612,-0.1556,"Gaussian Hilbert Spaces",1997,"https://doi.org/10.1017/cbo9780511526169",1],[2,0.0356,-0.7468,"Représentations p -adiques et équations différentielles",2002,"https://doi.org/10.1007/s002220100202",1],[2,-0.7766,-0.2321,"Dilogarithms, regulators andp-adicL-functions",1982,"https://doi.org/10.1007/bf01399500",1],[2,0.0325,0.7459,"Arrangements of Lines and Algebraic Surfaces",1983,"https://doi.org/10.1007/978-1-4757-9286-7_7",1],[2,0.116,-0.5091,"Packing stability for symplectic $4$-manifolds",2015,"https://doi.org/10.1090/tran/6802",3],[2,0.5152,-0.4079,"A Degeneration Formula of GW-Invariants",2002,"https://doi.org/10.4310/jdg/1090351102",2],[2,0.399,-0.5072,"Canonical embedded and non-embedded resolution of singularities for excellent two-dimensional schemes",2009,"https://arxiv.org/abs/0905.2191",2],[2,-0.458,-0.4912,"Positive Curvature, Macroscopic Dimension, Spectral Gaps and Higher Signatures",1996,"https://doi.org/10.1007/978-1-4612-4098-3_1",3],[2,0.5,-0.7102,"Une remarque à propos des cycles de Hodge de type C M",1992,"https://doi.org/10.1007/978-1-4757-4269-5_1",1],[2,0.2527,0.4808,"Central Simple Algebras and Galois Cohomology",2006,"https://doi.org/10.1017/cbo9780511607219",2],[2,0.2738,0.7366,"ALMOST ALL SETS OF POINTS ON THE ‐SPHERE ARE NOT SUBTRANSITIVE",2013,"https://doi.org/10.1112/s0025579313000053",1],[2,0.6022,0.2547,"An Orthogonal Basis for Functions over a Slice of the Boolean Hypercube",2016,"https://doi.org/10.37236/4567",2],[2,0.7774,0.392,"Average Sensitivity and Noise Sensitivity of Polynomial Threshold Functions",2014,"https://doi.org/10.1137/110855223",1],[2,0.304,-0.7928,"On Moduli Stacks of G-bundles over a Curve",2010,"https://doi.org/10.1007/978-3-0346-0288-4_5",1],[2,-0.6135,0.2188,"Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds",2010,"https://doi.org/10.4310/jdg/1271271798",2],[2,-0.0925,0.7089,"Idempotents in Complex Group Rings: Theorems of Zalesskii and Bass Revisited",1998,"https://doi.org/10.5802/jolt.142",1],[2,0.3172,-0.5623,"Lectures on Vanishing Theorems",1992,"https://doi.org/10.1007/978-3-0348-8600-0",3],[2,-0.1338,-0.7108,"Some remarks on stability of cones for the one-phase free boundary problem",2015,"https://doi.org/10.1007/s00039-015-0335-6",1],[2,-0.2596,0.7919,"Theory of Computing",2013,"https://doi.org/10.4086/toc.2013.v009a015",1],[2,-0.6989,-0.2137,"The Crystals Associated to Barsotti-Tate Groups: with Applications to Abelian Schemes",1972,"https://doi.org/10.1007/bfb0058301",1],[2,-0.6369,-0.1939,"The chromatic splitting conjecture at n = p = 2",2017,"https://doi.org/10.2140/gt.2017.21.3213",5],[2,-0.5675,0.572,"A simplification of Girard's paradox",1995,"https://doi.org/10.1007/bfb0014058",1],[2,-0.2229,0.7758,"Equilibrium Fluctuations for $\\nabla_{\\varphi}$ Interface Model",2001,"https://doi.org/10.1214/aop/1015345600",1],[2,0.7092,0.3295,"Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey",1979,"https://doi.org/10.1016/s0167-5060(08)70356-x",1],[2,-0.5075,-0.5991,"On the second boundary value problem for Monge-Ampère type equations and optimal transportation",2009,"https://doi.org/10.2422/2036-2145.2009.1.07",1],[2,0.7977,0.1322,"BPHSPACE(S)⊆DSPACE(S3/2)",1999,"https://doi.org/10.1006/jcss.1998.1616",1],[2,0.5385,0.5426,"Lectures on Riemann Surfaces",1981,"https://doi.org/10.1007/978-1-4612-5961-9",1],[2,0.4391,0.567,"Integer sets containing no arithmetic progressions",1990,"https://doi.org/10.1007/bf01903717",1],[2,-0.7966,-0.2345,"The Tate spectrum of the higher real $K$-theories at height $n=p-1$",2015,"https://arxiv.org/abs/1501.07759",1],[2,-0.6642,0.2215,"Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires",1981,"https://doi.org/10.24033/asens.1404",1],[2,0.1256,-0.7915,"Linnik’s theorem for Sato-Tate laws on elliptic curves with complex multiplication",2015,"https://doi.org/10.1007/s40993-015-0028-0",1],[2,-0.1344,-0.8306,"Minimal Surfaces and Functions of Bounded Variation",1984,"https://doi.org/10.1007/978-1-4684-9486-0",1],[2,0.4212,0.5031,"Extensions of ergodic group actions",1976,"https://doi.org/10.1215/ijm/1256049780",3],[2,0.0228,-0.6467,"Théorème des périodes et degrés minimaux d'isogénies",2014,"https://doi.org/10.4171/cmh/322",2],[2,-0.6675,-0.5006,"On ω*-basic sequences and their applications to the study of Banach spaces",1972,"https://doi.org/10.4064/sm-43-1-77-92",1],[2,-0.8656,0.1251,"Operator algebras and conformal field theory",1998,"https://doi.org/10.1007/s002220050253",1],[2,0.0557,-0.7122,"On the differentiation of De Rham cohomology classes with respect to parameters",1968,"https://doi.org/10.1215/kjm/1250524135",1],[2,0.3546,-0.6461,"On the definition of mixed Hodge modules",2013,"https://arxiv.org/abs/1307.2140",1],[2,0.4015,-0.6199,"Very general monomial valuations of $\\mathbb{P}^2$ and a Nagata-type conjecture",2017,"https://doi.org/10.4310/cag.2017.v25.n1.a4",1],[2,-0.81,-0.235,"𝐋𝐢^{(𝐩)}-service? An algorithm for computing 𝐩-adic polylogarithms",2007,"https://doi.org/10.1090/s0025-5718-07-02027-3",1],[2,-0.2736,0.7918,"Introduction to twisted commutative algebras",2012,"https://arxiv.org/abs/1209.5122",1],[2,-0.2832,-0.6673,"Nodal sets for solutions of elliptic equations",1989,"https://doi.org/10.4310/jdg/1214443599",1],[2,0.2574,-0.6724,"Theta characteristics of an algebraic curve",1971,"https://doi.org/10.24033/asens.1209",1],[2,-0.2752,-0.5896,"Lectures on Closed Geodesics",1978,"https://doi.org/10.1007/978-3-642-61881-9",2],[2,-0.1216,-0.7975,"The Local de Branges-Rovnyak Construction and Complete Nevanlinna-Pick Kernels",1994,"https://doi.org/10.1007/978-1-4612-0255-4_3",1],[2,0.6317,-0.1954,"A visit to the Erdös problem",1998,"https://doi.org/10.1090/s0002-9939-98-04167-7",2],[2,-0.1085,0.6426,"The Subgroup Structure of the Finite Classical Groups",1990,"https://doi.org/10.1017/cbo9780511629235",2],[2,0.6515,-0.0517,"A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial",2015,"https://doi.org/10.1007/s10440-015-0036-z",2],[2,-0.1096,0.638,"Representations of Algebraic Groups",1963,"https://doi.org/10.1017/s0027763000011016",2],[2,0.6969,0.2877,"Maximum Matchings via Gaussian Elimination",2004,"https://doi.org/10.1109/focs.2004.40",1],[2,0.4133,-0.5752,"Conjectural relations in the tautological ring of $\\bar{M}_{g,n}$",2012,"https://arxiv.org/abs/1207.1918",1],[2,0.2824,0.7125,"A modular relation for the chromatic symmetric functions of (3+1)-free posets",2013,"https://doi.org/10.48550/arxiv.1306.2400",1],[2,0.2923,-0.7458,"Perverse sheaves on a Loop group and Langlands' duality",1995,"https://arxiv.org/abs/alg-geom/9511007",1],[2,-0.3548,-0.636,"Embedding Problems in Symplectic Geometry",2005,"https://doi.org/10.1515/9783110199697",1],[2,0.6929,0.1969,"Polar classes of singular varieties",1978,"https://doi.org/10.24033/asens.1346",1],[2,-0.7423,-0.0592,"A remark on the similarity and perturbation problems",2012,"https://arxiv.org/abs/1206.5405",1],[2,-0.2006,0.6333,"Continuum limit of the hierarchicalO(N) non-linear ?-model",1986,"https://doi.org/10.1007/bf01463394",2],[2,-0.1589,-0.8284,"Approximation of Holder continuous homeomorphisms by piecewise affine homeomorphisms",2008,"https://arxiv.org/abs/0806.3366",1],[2,-0.7541,0.2668,"The positive mass theorem for multiple rotating charged black holes",2016,"https://doi.org/10.1007/s00526-016-0969-8",1],[2,0.7009,0.3536,"Bounding the Sensitivity of Polynomial Threshold Functions",2014,"https://doi.org/10.4086/toc.2014.v010a001",1],[2,-0.6648,0.2368,"The Mass of Asymptotically Hyperbolic Manifolds",2001,"https://doi.org/10.4310/jdg/1090348112",1],[2,-0.8003,0.2878,"Positive Mass Theorem and the Boundary Behaviors of Compact Manifolds with Nonnegative Scalar Curvature",2002,"https://doi.org/10.4310/jdg/1090425530",1],[2,-0.595,0.4149,"Artin groups of Euclidean type",2017,"https://doi.org/10.1007/s00222-017-0728-2",1],[2,0.5491,-0.5253,"Addendum to: On fibre space structures of a projective irreducible symplectic manifold",1999,"https://arxiv.org/abs/math/9903045",1],[2,0.8257,-0.1038,"Ginzburg-Landau Vortices",1994,"https://doi.org/10.1007/978-1-4612-0287-5",1],[2,-0.5025,0.512,"A programming logic based on type theory",1994,"https://doi.org/10.6100/ir423044",1],[2,-0.2051,-0.7366,"Uniqueness in Calderón’s Problem for Conductivities with Unbounded Gradient",2015,"https://doi.org/10.1007/s00220-015-2460-3",1],[2,-0.3387,0.5564,"A stochastic formula for the entropy and applications",2013,"https://doi.org/10.1214/11-aihp464",2],[2,-0.79,0.1149,"Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators",2010,"https://arxiv.org/abs/1012.4196",1],[2,0.1021,-0.6204,"Algebraic Number Theory",1999,"https://doi.org/10.1007/978-3-662-03983-0",7],[2,0.761,-0.0773,"Isoperimetric and Analytic Inequalities for Log-Concave Probability Measures",1999,"https://doi.org/10.1214/aop/1022874820",1],[2,-0.1138,0.7542,"Finite Group Theory",2000,"https://doi.org/10.1017/cbo9781139175319",1],[2,-0.1662,-0.698,"From Newton to Boltzmann: Hard Spheres and Short-range Potentials",2014,"https://doi.org/10.4171/129",1],[2,0.2885,-0.7423,"Enhanced six operations and base change theorem for higher Artin stacks",2012,"https://arxiv.org/abs/1211.5948",1],[2,0.7169,0.1359,"The Complexity of Solving Stochastic Games on Graphs",2009,"https://doi.org/10.1007/978-3-642-10631-6_13",1],[2,-0.6233,-0.2089,"Formal moduli for one-parameter formal Lie groups",1966,"https://doi.org/10.24033/bsmf.1633",5],[2,-0.2363,0.6118,"A Computational Method for Bounding the Probability of Reconstruction on Trees",2011,"https://doi.org/10.1137/090751244",2],[2,-0.8134,0.1163,"Modular-Invariance of Trace Functions¶in Orbifold Theory and Generalized Moonshine",2000,"https://doi.org/10.1007/s002200000242",1],[2,0.2469,-0.6119,"On finite rational groups and related topics",1989,"https://doi.org/10.1215/ijm/1255988808",2],[2,0.1419,0.7753,"The Ramsey numbers R ( C m , K 7 ) and R ( C 7 , K 8 )",2007,"https://doi.org/10.1016/j.ejc.2007.05.007",1],[2,-0.5819,-0.2613,"The topology of four-dimensional manifolds",1982,"https://doi.org/10.4310/jdg/1214437136",2],[2,0.2875,0.5965,"On Ryser's conjecture",2012,"https://doi.org/10.37236/1175",2],[2,-0.0276,0.8461,"Finitely Presented Groups Related to Kaplansky’s Direct Finiteness Conjecture",2015,"https://doi.org/10.1080/10586458.2014.993051",1],[2,0.7068,0.4396,"On Linnik's constant",2009,"https://doi.org/10.48550/arxiv.0906.2749",1],[2,-0.3686,-0.5527,"Sur quelques variétés d'Einstein compactes",1961,"https://doi.org/10.1007/bf02417787",2],[2,0.7263,-0.2405,"General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series",2011,"https://arxiv.org/abs/1110.4253",1],[2,0.7923,0.0697,"On the Hardness of 4-Coloring a 3-Colorable Graph",2004,"https://doi.org/10.1137/s0895480100376794",1],[2,-0.306,-0.0798,"Some regularity theorems in riemannian geometry",1981,"https://doi.org/10.24033/asens.1405",9],[2,-0.5051,-0.3968,"A Banach space with the Schur and the Daugavet property",2003,"https://doi.org/10.1090/s0002-9939-03-07278-2",6],[2,-0.4935,-0.7047,"Plurisubharmonic Functions and the Structure of Complete Kähler Manifolds with Nonnegative Curvature",2003,"https://doi.org/10.4310/jdg/1090427001",1],[2,-0.3612,0.6488,"Another look at the Gardner problem",2013,"https://arxiv.org/abs/1306.3979",1],[2,-0.317,0.7811,"Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times",2015,"https://arxiv.org/abs/1502.00546",1],[2,-0.068,0.6545,"The Generalized Auslander–Reiten Condition for the bounded derived category",2012,"https://doi.org/10.1007/s00013-012-0401-3",2],[2,0.1254,0.041,"Parallel Repetition in Projection Games and a Concentration Bound",2008,"https://doi.org/10.1137/080734042",3],[2,-0.5152,-0.6196,"A geometrical approach to monotone functions in $\\mathbb R^n$",1999,"https://doi.org/10.1007/pl00004691",1],[2,-0.699,-0.3359,"Outer Automorphisms of Hyperbolic Groups and Small Actions on ℝ-Trees",1991,"https://doi.org/10.1007/978-1-4612-3142-4_12",1],[2,0.0009,0.8193,"Covering collections and a challenge problem of Serre",2001,"https://doi.org/10.4064/aa98-2-9",1],[2,-0.1393,-0.8161,"Regularity and splitting of directed minimal cones",2003,"https://arxiv.org/abs/math/0308204",1],[2,0.7133,0.1017,"Computing the volume of convex bodies: a case where randomness provably helps",1991,"https://doi.org/10.1090/psapm/044/1141926",1],[2,-0.7081,0.5011,"Addendum and correction to: ``A combination theorem for negatively curved groups''",1996,"https://doi.org/10.4310/jdg/1214458531",1],[2,0.4007,-0.7284,"Log canonical thresholds on varieties with bounded singularities",2010,"https://doi.org/10.4171/007-1/10",1],[2,-0.7235,0.2119,"On SIC-POVMs and MUBs in Dimension 6",2004,"https://arxiv.org/abs/quant-ph/0406175",1],[2,-0.3613,-0.7513,"Open problems and questions about geodesics",2019,"https://doi.org/10.1017/etds.2019.73",1],[2,-0.7533,-0.4154,"Grothendieck $\\infty$-groupoids, and still another definition of $\\infty$-categories",2010,"https://arxiv.org/abs/1009.2331",1],[2,0.7981,0.2895,"Entropies, convexity, and functional inequalities, On $\\Phi $-entropies and $\\Phi $-Sobolev inequalities",2004,"https://doi.org/10.1215/kjm/1250283556",1],[2,0.6747,0.19,"Euler number of the compactified Jacobian and multiplicity of rational curves",1997,"https://arxiv.org/abs/alg-geom/9708012",1],[2,0.5152,-0.4979,"Crystalline cohomology and de Rham cohomology",2011,"https://arxiv.org/abs/1110.5001",1],[2,0.8279,0.2389,"LFSR-based Hashing and Authentication",2007,"https://doi.org/10.1007/3-540-48658-5_15",1],[2,-0.6936,-0.2714,"The Dyer-Lashof algebra and the $\\Lambda$-algebra",1975,"https://doi.org/10.1215/ijm/1256050812",1],[2,-0.6305,0.1493,"Quantum Circuits: Fanout, Parity, and Counting",1999,"https://doi.org/10.48550/arxiv.quant-ph/9903046",2],[2,0.5642,0.3224,"On Logical Descriptions of Regular Languages",2002,"https://doi.org/10.1007/3-540-45995-2_46",3],[2,-0.5111,-0.6506,"Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below",2015,"https://doi.org/10.1007/s12220-015-9654-y",1],[2,-0.3615,0.5279,"A Zero-One Law for Planar Random walks in Random Environment",2001,"https://doi.org/10.1214/aop/1015345769",2],[2,0.3352,-0.7312,"Van der Corput's Method of Exponential Sums",1991,"https://doi.org/10.1017/cbo9780511661976",1],[2,-0.2512,0.6006,"Duality of a two-dimensional nonhomogeneous Ising model on a finite lattice",1997,"https://doi.org/10.1103/physrevb.55.11045",2],[2,0.5794,-0.4851,"Quaternionic Kähler 8-manifolds with positive scalar curvature",1991,"https://doi.org/10.4310/jdg/1214446322",1],[2,0.079,-0.456,"Deformations of calibrated submanifolds",1998,"https://doi.org/10.4310/cag.1998.v6.n4.a4",2],[2,-0.3951,-0.6107,"Integral curvature bounds, distance estimates and applications",1998,"https://doi.org/10.4310/jdg/1214461171",1],[2,0.7993,-0.3136,"Brennan's conjecture for composition operators on Sobolev spaces",2012,"https://doi.org/10.48550/arxiv.1212.3999",1],[2,-0.3079,0.7768,"Decomposition at the maximum for excursions and bridges of one-dimensional diffusions",1996,"https://doi.org/10.1007/978-4-431-68532-6_19",1],[2,-0.212,0.8346,"Up-to-constants bounds on the two-point Green's function for SLE curves",2015,"https://doi.org/10.1214/ecp.v20-4246",1],[2,0.026,-0.7194,"The Grothendieck Festschrift : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck",2007,"https://doi.org/10.1007/978-0-8176-4575-5",1],[2,-0.263,0.6649,"Robust discrete complex analysis: A toolbox",2016,"https://doi.org/10.1214/14-aop985",1],[2,-0.2976,0.706,"Exact bosonization of the Ising model",2011,"https://doi.org/10.48550/arxiv.1112.4399",1],[2,0.5699,0.5983,"Chapter 13 Rational billiards and flat structures",2002,"https://doi.org/10.1016/s1874-575x(02)80015-7",1],[2,0.8072,-0.0963,"2D Coulomb gases and the renormalized energy",2015,"https://doi.org/10.1214/14-aop927",1],[2,0.0122,-0.6607,"The remaining cases of the Kramer–Tunnell conjecture",2016,"https://doi.org/10.1112/s0010437x16007624",2],[2,-0.3995,-0.6807,"A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras",1968,"https://doi.org/10.4310/jdg/1214428443",1],[2,0.0061,-0.6525,"Conjectures on elliptic curves over quadratic fields",1979,"https://doi.org/10.1007/bfb0062705",2],[2,-0.1537,-0.6458,"An Example of Nonuniqueness for Solutions to the Homogeneous Boltzmann Equation",1999,"https://doi.org/10.1023/a:1004546031908",2],[2,-0.2698,0.5698,"The Self-avoiding Walk Spanning a Strip",2011,"https://doi.org/10.1007/s10955-011-0258-z",2],[2,0.6586,0.0889,"Rectangular Arrays with Fixed Margins",1995,"https://doi.org/10.1007/978-1-4612-0801-3_3",2],[2,-0.2971,0.5839,"Analytic and Algorithmic Solution of Random Satisfiability Problems",2002,"https://doi.org/10.1126/science.1073287",2],[2,-0.8386,0.2136,"Linking Classical and Quantum Key Agreement: Is There “Bound Information”?",2000,"https://doi.org/10.1007/3-540-44598-6_30",1],[2,-0.0553,0.7582,"Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion",2000,"https://doi.org/10.1090/s0894-0347-00-00327-1",1],[2,0.2744,0.688,"Chromatic quasisymmetric functions and Hessenberg varieties",2012,"https://doi.org/10.1007/978-88-7642-431-1_20",1],[2,0.6451,-0.4876,"Rational connectedness and boundedness of Fano manifolds",1992,"https://doi.org/10.4310/jdg/1214453188",1],[2,0.2196,0.8408,"Cyclotomic integers and finite geometry",1999,"https://doi.org/10.1090/s0894-0347-99-00298-2",1],[2,-0.2729,0.5812,"Dirichlet Forms and Symmetric Markov Processes",2010,"https://doi.org/10.1515/9783110218091",3],[2,0.0055,-0.7112,"On the perturbation lemma, and deformations",2004,"https://arxiv.org/abs/math/0403266",1],[2,0.3559,0.6112,"Hadwiger's conjecture forK 6-free graphs",1993,"https://doi.org/10.1007/bf01202354",1],[2,0.6367,-0.5121,"The Fano variety of lines and rationality problem for a cubic hypersurface",2014,"https://arxiv.org/abs/1405.5154",1],[2,0.7339,0.1365,"Mean-Payoff Parity Games",2006,"https://doi.org/10.1109/lics.2005.26",1],[2,-0.2687,0.5818,"Hausdorff measure of SLE curves",2017,"https://doi.org/10.1016/j.spa.2017.06.010",2],[2,-0.1156,-0.7535,"On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator",2005,"https://doi.org/10.1090/s1061-0022-05-00857-5",1],[2,-0.1946,0.3684,"On a small cancellation theorem of Gromov",2006,"https://doi.org/10.36045/bbms/1148059334",3],[2,-0.866,0.0043,"The Cone of Functionals on the Cuntz Semigroup",2013,"https://doi.org/10.7146/math.scand.a-15568",1],[2,-0.2225,-0.8016,"GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES",2016,"https://doi.org/10.1017/fmp.2015.9",1],[2,0.0629,-0.8558,"An explicit version of Faltings' Product Theorem and an improvement of Roth's lemma",1995,"https://doi.org/10.4064/aa-73-3-215-248",1],[2,-0.1087,0.6348,"A New Approach to the Finite Lattice Representation Problem",1998,"https://doi.org/10.1023/a:1004607902533",2],[2,0.2766,0.6943,"Canonical bases for cluster algebras",2017,"https://doi.org/10.1090/jams/890",1],[2,-0.707,-0.3661,"Floer Homology Groups in Yang-Mills Theory",2002,"https://doi.org/10.1017/cbo9780511543098",1],[2,0.0239,-0.8481,"Zeta Functions of Simple Algebras",1972,"https://doi.org/10.1007/bfb0070263",1],[2,0.4293,-0.4988,"Characterizations of complex projective spaces and hyperquadrics",1973,"https://doi.org/10.1215/kjm/1250523432",2],[2,0.6129,-0.4917,"On two rationality conjectures for cubic fourfolds",2016,"https://doi.org/10.4310/mrl.2016.v23.n1.a1",1],[2,-0.6627,-0.0566,"Theory of Operator Algebras II",2003,"https://doi.org/10.1007/978-3-662-10451-4",3],[2,-0.8693,-0.0186,"The analytical assembly map and index theory",2015,"https://doi.org/10.4171/jncg/202",1],[2,-0.3893,0.6027,"Locality of percolation for Abelian Cayley graphs",2017,"https://doi.org/10.1214/15-aop1086",1],[2,-0.6076,0.2447,"Atomic Theory of the λ Transition in Helium",1953,"https://doi.org/10.1103/physrev.91.1291",2],[2,0.0378,-0.6518,"The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings",2014,"https://doi.org/10.1017/cbo9781107446335.008",3],[2,-0.7785,0.275,"Quasi-spherical metrics and prescribed scalar curvature",1993,"https://doi.org/10.4310/jdg/1214453422",1],[2,0.3661,-0.516,"A Canonical Bundle Formula",2000,"https://doi.org/10.4310/jdg/1090347529",6],[2,0.2572,-0.6889,"Letter to G. Faltings (translation into English)",1997,"https://doi.org/10.1017/cbo9780511758874.018",1],[2,-0.4617,-0.6246,"Counterexamples for Local Isometric Embedding",2002,"https://arxiv.org/abs/math/0208127",1],[2,0.4799,0.6497,"Ergodic theorem involving additive and multiplicative groups of a field and patterns",2015,"https://doi.org/10.1017/etds.2015.68",1],[2,-0.7687,0.1888,"Extending and Characterizing Quantum Magic Games",2012,"https://arxiv.org/abs/1209.3819",1],[2,0.2522,-0.6575,"On the Decomposition of a Representation of SOn When Restricted to SOn-1",1992,"https://doi.org/10.4153/cjm-1992-060-8",1],[2,-0.7303,-0.0779,"Cartan subalgebras of amalgamated free product $II_1$ factors",2015,"https://doi.org/10.24033/asens.2239",1],[2,0.8115,0.1265,"KAZHDAN CONSTANTS FOR SL n(ℤ)",2005,"https://doi.org/10.1142/s0218196705002712",1],[2,-0.6633,-0.4796,"The isometric extension problem in the unit spheres of lp(Г) (p >1) type spaces",2003,"https://doi.org/10.1360/03ys9035",1],[2,0.1235,-0.8599,"On Odd Perfect Numbers - The Dyadic Fabric: A Deterministic Refinement and Realization Framework",2008,"https://arxiv.org/abs/0808.1408",1],[2,-0.7203,0.4564,"Extensive amenability and an application to interval exchanges",2016,"https://doi.org/10.1017/etds.2016.32",1],[2,-0.7308,-0.3428,"Ends of maps. III. Dimensions 4 and 5",1982,"https://doi.org/10.4310/jdg/1214437139",1],[2,0.2216,0.834,"Every monotone graph property has a sharp threshold",1996,"https://doi.org/10.1090/s0002-9939-96-03732-x",1],[2,0.5768,-0.6318,"Negative Vector Bundles and Complex Finsler Structures",1975,"https://doi.org/10.1017/s0027763000016615",1],[2,0.0507,-0.6447,"O-minimality and certain atypical intersections",2016,"https://doi.org/10.24033/asens.2296",2],[2,0.6633,-0.2349,"Near-extremizers of Young's inequality for discrete groups",2011,"https://arxiv.org/abs/1112.3716",1],[2,-0.3877,-0.5296,"Three-manifolds with positive Ricci curvature",1982,"https://doi.org/10.4310/jdg/1214436922",3],[2,0.0299,-0.6418,"Cohomology of Number Fields",2008,"https://doi.org/10.1007/978-3-540-37889-1",2],[2,0.779,-0.0388,"A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions",2014,"https://arxiv.org/abs/1408.1028",1],[2,0.3812,-0.5053,"A correction to the paper \"Log Abundance Theorem for Threefolds\"",2003,"https://doi.org/10.48550/arxiv.math/0302360",2],[2,0.1308,-0.8522,"Vorlesungen über Zahlentheorie",1950,"https://doi.org/10.1007/978-3-642-52795-1",1],[2,-0.1238,-0.8013,"The “hot spots” conjecture for domains with two axes of symmetry",2000,"https://doi.org/10.1090/s0894-0347-00-00346-5",1],[2,-0.2423,0.717,"An Enciphering Scheme Based on a Card Shuffle",2012,"https://doi.org/10.1007/978-3-642-32009-5_1",1],[2,0.4814,-0.6326,"Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities",2009,"https://doi.org/10.1007/978-0-8176-4747-6_16",1],[2,0.5335,-0.3883,"Complex Algebraic Surfaces",1996,"https://doi.org/10.1017/cbo9780511623936",3],[2,0.6182,0.2269,"Wronskians and Linear Independence",2010,"https://doi.org/10.4169/000298910x515785",3],[2,0.2527,-0.7384,"Commuting elements in Galois groups of function fields",2000,"https://arxiv.org/abs/math/0012245",1],[2,-0.7605,-0.3829,"Lefschetz pencils on symplectic manifolds",1999,"https://doi.org/10.4310/jdg/1214425535",1],[2,0.7654,-0.3518,"Decay of circular means of Fourier transforms of measures",1999,"https://doi.org/10.1155/s1073792899000288",1],[2,-0.7662,-0.2468,"Lectures on p-Divisible Groups",1972,"https://doi.org/10.1007/bfb0060741",1],[2,-0.1329,-0.7967,"Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi",2000,"https://doi.org/10.1090/s0894-0347-00-00345-3",1],[2,0.3738,-0.5076,"Birational Geometry of Algebraic Varieties",1998,"https://doi.org/10.1017/cbo9780511662560",18],[2,0.0226,0.7052,"Bimodule Complexes via Strong Homotopy Actions",2000,"https://doi.org/10.1023/a:1009954126727",1],[2,-0.853,-0.1795,"Remarks on HNN extensions in operator algebras",2008,"https://doi.org/10.1215/ijm/1254143997",1],[2,-0.8136,-0.2685,"The group action on the closed fiber of the Lubin-Tate moduli space",1996,"https://doi.org/10.1215/s0012-7094-96-08230-7",1],[2,-0.7498,-0.3877,"Géométrie de contact: de la dimension trois vers les dimensions supérieures",2003,"https://arxiv.org/abs/math/0305129",1],[2,0.4308,-0.5039,"Iitaka-Viehweg conjectures C and C++",2009,"https://arxiv.org/abs/0910.0604",3],[2,0.6778,-0.4659,"From Monge–Ampère equations to envelopes and geodesic rays in the zero temperature limit",2018,"https://doi.org/10.1007/s00209-018-2087-0",1],[2,-0.3333,-0.6261,"Almost complex 4-manifolds with vanishing first Chern class",2008,"https://doi.org/10.4310/jdg/1207834656",1],[2,0.5544,-0.6483,"Logarithmic forms of algebraic varieties",1976,"https://doi.org/10.15083/00039725",1],[2,-0.308,-0.5931,"TWO-FORMS ON FOUR-MANIFOLDS AND ELLIPTIC EQUATIONS",2006,"https://doi.org/10.1142/9789812772688_0007",2],[2,-0.3464,-0.6156,"Symplectic packing constructions",1995,"https://doi.org/10.4310/jdg/1214456483",1],[2,-0.7857,0.2785,"The Penrose Inequality for Asymptotically Locally Hyperbolic Spaces with Nonpositive Mass",2015,"https://doi.org/10.1007/s00220-015-2421-x",1],[2,-0.118,0.7874,"Unipotent characters of SO^±_2n,Sp_2n and SO2n+1 over F_q with small q",1983,"https://doi.org/10.18910/7124",1],[2,0.0443,-0.7929,"Modularity lifting beyond the Taylor–Wiles method",2017,"https://doi.org/10.1007/s00222-017-0749-x",1],[2,0.4795,-0.5224,"Some results in the theory of vector bundles",1973,"https://doi.org/10.1017/s0027763000015919",1],[2,0.4027,-0.4978,"Existence of flips and minimal models for 3-folds in char $p$",2016,"https://doi.org/10.24033/asens.2279",2],[2,-0.2737,-0.5903,"Floer homology and Arnold conjecture",1998,"https://doi.org/10.4310/jdg/1214460936",4],[2,0.458,-0.4454,"Rational Curves on Algebraic Varieties",1996,"https://doi.org/10.1007/978-3-662-03276-3",4],[2,-0.3781,-0.7186,"Large Complex Structure Limits of K3 Surfaces",2000,"https://doi.org/10.4310/jdg/1090341262",1],[2,0.1813,-0.7175,"Almost k-wise independence versus k-wise independence",2003,"https://doi.org/10.1016/s0020-0190(03)00359-4",1],[2,-0.3354,-0.0617,"Classical Descriptive Set Theory",1995,"https://doi.org/10.1007/978-1-4612-4190-4",8],[2,-0.6649,0.4588,"A cut point theorem for $\\rm{CAT}(0)$ groups",1999,"https://doi.org/10.4310/jdg/1214425538",1],[2,0.3386,-0.5362,"Local positivity of ample line bundles",1995,"https://doi.org/10.4310/jdg/1214457231",7],[2,-0.3418,0.6227,"Intersecting random half-spaces: toward the Gardner-Derrida formula",2000,"https://doi.org/10.1214/aop/1019160259",1],[2,-0.3257,0.5639,"Disorder chaos and multiple valleys in spin glasses",2009,"https://arxiv.org/abs/0907.3381",2],[2,-0.0956,0.8656,"Vanishing of Ext and Tor over Cohen-Macaulay local rings",2014,"https://arxiv.org/abs/1409.1141",1],[2,0.5916,-0.4034,"Semistability of the tangent sheaf of singular varieties",2016,"https://doi.org/10.14231/ag-2016-024",1],[2,-0.595,0.2603,"Invariance theorems for supersymmetric Yang–Mills theories",2000,"https://doi.org/10.4310/atmp.2000.v4.n2.a8",2],[2,-0.7284,-0.372,"The Riemann-Roch theorem for complex V -manifolds",1979,"https://doi.org/10.18910/8716",1],[2,-0.6556,-0.0304,"Operator-algebraic superridigity for SL n (ℤ), n≥3",2007,"https://doi.org/10.1007/s00222-007-0050-5",2],[2,-0.7577,-0.031,"Point realizations of transformation groups",1962,"https://doi.org/10.1215/ijm/1255632330",1],[2,-0.6447,-0.3306,"Rational blowdowns of smooth 4-manifolds",1997,"https://doi.org/10.4310/jdg/1214459932",1],[2,-0.0965,0.701,"On the Block of Defect Zero",1971,"https://doi.org/10.1017/s0027763000014549",1],[2,0.032,-0.7277,"The Eigencurve",1998,"https://doi.org/10.1017/cbo9780511662010.003",1],[2,-0.6613,-0.0255,"Explicit computations of all finite index bimodules for a family of II$_1$ factors",2008,"https://doi.org/10.24033/asens.2081",2],[2,0.2138,-0.5995,"Compactification of Siegel Moduli Schemes",1985,"https://doi.org/10.1017/cbo9780511721298",2],[2,0.5018,-0.714,"On the Satake isomorphism",1998,"https://doi.org/10.1017/cbo9780511662010.006",1],[2,-0.4314,0.7273,"Introduction to the Theory of (Non-Symmetric) Dirichlet Forms",1992,"https://doi.org/10.1007/978-3-642-77739-4",1],[2,0.0407,0.5389,"Continuous Martingales and Brownian Motion",1999,"https://doi.org/10.1007/978-3-662-06400-9",3],[2,0.5567,-0.443,"Special Cubic Fourfolds",2000,"https://doi.org/10.1023/a:1001706324425",1],[2,0.3757,-0.5197,"Shokurov's Boundary Property",2004,"https://doi.org/10.4310/jdg/1102536201",7],[2,0.3426,-0.5663,"Why Would Multiplicities be Log-Concave?",2003,"https://doi.org/10.1007/978-1-4612-0029-1_14",2],[2,-0.2093,0.6315,"An Inequality for Gaussians on Lattices",2017,"https://doi.org/10.1137/15m1052226",6],[2,0.0946,-0.6452,"Sur la distribution des zéros de la fonction $\\zeta(s)$ et ses conséquences arithmétiques",1896,"https://doi.org/10.24033/bsmf.545",2],[2,0.6922,-0.2921,"On the duality between $p$-modulus and probability measures",2015,"https://doi.org/10.4171/jems/546",1],[2,0.1305,-0.6154,"Induced representations of reductive ${\\germ p}$-adic groups. I",1977,"https://doi.org/10.24033/asens.1333",2],[2,0.0441,-0.7245,"Problems in the theory of automorphic forms to Salomon Bochner in gratitude",1970,"https://doi.org/10.1007/bfb0079065",1],[2,0.6447,-0.5127,"A degeneration of stable morphisms and relative stable morphisms",2000,"https://arxiv.org/abs/math/0009097",1],[2,0.3355,0.6403,"An improved lower bound related to the Furstenberg-Sárközy theorem",2015,"https://doi.org/10.37236/4656",1],[2,0.5052,-0.6702,"Some surfaces of general type for which Bloch's conjecture holds",2016,"https://doi.org/10.1017/cbo9781316387887.014",1],[2,-0.7323,-0.0927,"Hochschild Cohomology of Von Neumann Algebras",1995,"https://doi.org/10.1017/cbo9780511526190",1],[2,0.3936,0.7389,"Square-Difference-Free Sets of Size Omega(n^{0.7334...})",2008,"https://arxiv.org/abs/0804.4892",1],[2,-0.4871,-0.7125,"Curvature and injectivity radius estimates for Einstein 4-manifolds",2005,"https://doi.org/10.1090/s0894-0347-05-00511-4",1],[2,-0.595,0.416,"Widths of Subgroups",1998,"https://doi.org/10.1090/s0002-9947-98-01792-9",1],[2,0.0319,-0.7854,"Arithmetic Compactifications of PEL-Type Shimura Varieties",2013,"https://doi.org/10.1515/9781400846016",1],[2,0.7016,0.2825,"Algebraic Algorithms for Matching and Matroid Problems",2009,"https://doi.org/10.1137/070684008",1],[2,-0.6155,0.2222,"On the Lieb-Thirring constantsL γ,1 for γ≧1/2",1996,"https://doi.org/10.1007/bf02104912",2],[2,-0.2817,0.596,"A Surface View of First-Passage Percolation",1995,"https://doi.org/10.1007/978-3-0348-9078-6_94",2],[2,0.225,0.8152,"Ramanujan coverings of graphs",2017,"https://doi.org/10.1016/j.aim.2017.10.042",1],[2,-0.6563,-0.0304,"Paving over arbitrary MASAs in von Neumann algebras",2015,"https://doi.org/10.2140/apde.2015.8.1001",2],[2,0.3783,-0.5106,"Resolution of Singularities -- Seattle Lecture",2005,"https://arxiv.org/abs/math/0508332",4],[2,-0.3158,-0.7215,"On the growth of the number of closed geodesics on the two-sphere",1993,"https://doi.org/10.1155/s1073792893000285",1],[2,0.3497,0.6729,"Two approaches to Sidorenko’s conjecture",2015,"https://doi.org/10.1090/tran/6487",1],[2,-0.8313,-0.0363,"Amenability and exactness for dynamical systems and their 𝐶*-algebras",2002,"https://doi.org/10.1090/s0002-9947-02-02978-1",1],[2,0.4645,0.6007,"AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM",2008,"https://doi.org/10.1017/s0013091505000325",1],[2,0.6726,0.3656,"Small Sweeping 2NFAs Are Not Closed Under Complement",2006,"https://doi.org/10.1007/11786986_14",1],[2,-0.613,0.2246,"Nonlinear Functional Analysis",1985,"https://doi.org/10.1007/978-3-662-00547-7",3],[2,-0.6493,-0.2761,"The Hilbert-Smith conjecture for quasiconformal actions",1999,"https://doi.org/10.1090/s1079-6762-99-00062-1",1],[2,0.4836,-0.6834,"The Mukai pairing—II: the Hochschild–Kostant–Rosenberg isomorphism",2004,"https://doi.org/10.1016/j.aim.2004.05.012",1],[2,0.0416,-0.661,"Formes modulaires de poids $1$",1974,"https://doi.org/10.24033/asens.1277",2],[2,0.2456,-0.2832,"Descriptive Set Theory",2009,"https://doi.org/10.1090/surv/155",3],[2,-0.1188,-0.7718,"Lévy–Khintchine Representations of the Weighted Geometric Mean and the Logarithmic Mean",2013,"https://doi.org/10.1007/s00009-013-0311-z",1],[2,0.5721,-0.3074,"Oscillatory integrals and multiplier problem for the disc",1972,"https://doi.org/10.4064/sm-44-3-287-299",2],[2,-0.7636,0.2206,"A New Proof for the Existence of Mutually Unbiased Bases",2002,"https://doi.org/10.1007/s00453-002-0980-7",1],[2,0.6552,0.4441,"How to generate random matrices from the classical compact groups",2006,"https://arxiv.org/abs/math-ph/0609050",1],[2,-0.056,0.7673,"Tensor invariants, saturation problems, and Dynkin automorphisms",2015,"https://doi.org/10.1016/j.aim.2015.08.015",1],[2,0.4531,-0.0056,"Introduction to Smooth Manifolds",2012,"https://doi.org/10.1007/978-1-4419-9982-5",3],[2,0.1608,-0.6372,"An averaged form of Chowla’s conjecture",2015,"https://doi.org/10.2140/ant.2015.9.2167",2],[2,0.3577,-0.5197,"Revêtements étales et groupe fondamental (SGA 1)",2002,"https://arxiv.org/abs/math/0206203",11],[2,-0.0867,-0.1722,"A Course in Abstract Harmonic Analysis",2015,"https://doi.org/10.1201/b19172",2],[2,-0.6452,-0.0634,"Symmetries of some reduced free product C*-algebras",1985,"https://doi.org/10.1007/bfb0074909",3],[2,-0.7314,0.2273,"Multimode quantum entropy power inequality",2015,"https://doi.org/10.1103/physreva.91.032320",1],[2,-0.8069,-0.311,"H∞ Ring Spectra and their Applications",1986,"https://doi.org/10.1007/bfb0075405",1],[2,0.758,-0.0891,"The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem",1993,"https://doi.org/10.4310/jdg/1214454097",1],[2,0.6234,-0.4272,"Rational curves on compact Kähler manifolds",2015,"https://arxiv.org/abs/1502.03936",1],[2,-0.2905,0.5783,"Sharp thresholds of graph properties, and the $k$-sat problem",1999,"https://doi.org/10.1090/s0894-0347-99-00305-7",4],[2,-0.4186,-0.5093,"Review of geometry and analysis",2000,"https://doi.org/10.4310/ajm.2000.v4.n1.a16",2],[2,0.5064,-0.5691,"A numerical criterion for very ample line bundles",1993,"https://doi.org/10.4310/jdg/1214453680",1],[2,-0.6119,0.1997,"Tight Uniform Continuity Bounds for Quantum Entropies: Conditional Entropy, Relative Entropy Distance and Energy Constraints",2016,"https://doi.org/10.1007/s00220-016-2609-8",3],[2,0.3545,0.6582,"An elementary method in prime number theory",1980,"https://doi.org/10.4064/aa-37-1-111-115",1],[2,-0.2498,0.8227,"Theory of nonabelian goldstone bosons in two dimensions",1983,"https://doi.org/10.1016/0370-2693(83)91104-8",1],[2,0.3607,-0.5297,"On the douady space of a compact complex space in the category",1982,"https://doi.org/10.1017/s002776300001970x",3],[2,0.4685,-0.5662,"Function theory, random paths and covering spaces",1984,"https://doi.org/10.4310/jdg/1214438681",1],[2,0.4566,-0.6157,"Towards an Enumerative Geometry of the Moduli Space of Curves",1983,"https://doi.org/10.1007/978-1-4757-9286-7_12",1],[2,0.0539,0.7832,"The Positivity of Intersection Multiplicities and Symbolic Powers of Prime Ideals",2000,"https://doi.org/10.1023/a:1001741230307",1],[2,0.6563,-0.5182,"Gersten's conjecture and the homology of schemes",1974,"https://doi.org/10.24033/asens.1266",1],[2,0.7853,-0.34,"Lectures on Quasiconformal Mappings",2006,"https://doi.org/10.1090/ulect/038",1],[2,0.7845,0.0959,"A bound on the number of perfect matchings in Klee-graphs",2013,"https://doi.org/10.46298/dmtcs.633",1],[2,0.6119,0.5973,"Pointwise convergence of the ergodic bilinear Hilbert transform",2007,"https://doi.org/10.1215/ijm/1258138536",1],[2,0.0369,-0.8734,"Endoscopic Classification of Representations: Inner Forms of Unitary Groups",2014,"https://arxiv.org/abs/1409.3731",1],[2,-0.7184,0.1545,"Additivity for unital qubit channels",2002,"https://doi.org/10.1063/1.1500791",1],[2,-0.3458,-0.5478,"Linear growth harmonic functions on a complete manifold",1989,"https://doi.org/10.4310/jdg/1214442883",2],[2,-0.0388,0.8024,"Some special cases of the Eisenbud–Green–Harris conjecture",2012,"https://doi.org/10.1215/ijm/1391178543",1],[2,0.4855,-0.5186,"Crossed Products of 𝐶*-Algebras",2007,"https://doi.org/10.1090/surv/134",1],[2,0.6323,0.1369,"Relative bilinear complexity and matrix multiplication.",1987,"https://doi.org/10.1515/crll.1987.375-376.406",3],[2,-0.0012,-0.7913,"Bloch and Kato's exponential map: three explicit formulas",2003,"https://doi.org/10.4171/dms/3/3",1],[2,-0.4721,-0.5497,"On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index",2004,"https://doi.org/10.1215/ijm/1258138398",1],[2,-0.7573,-0.2836,"Constructive Homological Algebra and Applications",2012,"https://arxiv.org/abs/1208.3816",1],[2,-0.4825,0.5167,"A Fixed-Point Logic with Symmetric Choice",2003,"https://doi.org/10.1007/978-3-540-45220-1_16",1],[2,0.0706,-0.8471,"Néron–Severi groups under specialization",2012,"https://doi.org/10.1215/00127094-1699490",1],[2,0.0523,-0.2063,"Introduction to Lie Algebras and Representation Theory",1972,"https://doi.org/10.1007/978-1-4612-6398-2",3],[2,0.4583,0.6972,"Borsuk's Conjecture Fails in Dimensions 321 and 322",2002,"https://arxiv.org/abs/math/0202112",1],[2,-0.275,-0.5961,"Proofs On Arnold Conjectures",2008,"https://arxiv.org/abs/0808.0613",2],[2,0.2893,0.6834,"The crossing number of K 11 is 100",2007,"https://doi.org/10.1002/jgt.20249",1],[2,0.3681,0.6224,"Every planar map is four colorable. Part II: Reducibility",1977,"https://doi.org/10.1215/ijm/1256049012",1],[2,0.7758,-0.0469,"A note on the Ehrhard inequality",1996,"https://doi.org/10.4064/sm-118-2-169-174",1],[2,-0.6456,-0.3291,"Knots, sutures, and excision",2010,"https://doi.org/10.4310/jdg/1274707316",1],[2,-0.6172,0.2157,"Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem",2001,"https://doi.org/10.4310/jdg/1090349428",12],[2,0.293,-0.7438,"Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III.",1975,"https://doi.org/10.1515/crll.1975.274-275.125",1],[2,-0.6906,0.2418,"The Kerr-Newman metric: A Review",2014,"https://arxiv.org/abs/1410.6626",1],[2,0.743,-0.2728,"On a Lipschitz Variant of the Kakeya Maximal Function",2006,"https://arxiv.org/abs/math/0601213",1],[2,0.1357,-0.0795,"Duality between D(X) and with its application to picard sheaves",1981,"https://doi.org/10.1017/s002776300001922x",3],[2,-0.1412,-0.6493,"Time evolution of large classical systems",1975,"https://doi.org/10.1007/3-540-07171-7_1",2],[2,-0.3088,-0.6814,"Stable Mappings and Their Singularities",1973,"https://doi.org/10.1007/978-1-4615-7904-5",1],[2,-0.772,0.108,"A Quantum Approximate Optimization Algorithm",2014,"https://arxiv.org/abs/1411.4028",1],[2,0.258,0.6066,"Which Crossing Number Is It Anyway?",2000,"https://doi.org/10.1006/jctb.2000.1978",2],[2,-0.7558,0.1596,"Superadditivity of communication capacity using entangled inputs",2009,"https://doi.org/10.1038/nphys1224",1],[2,-0.6385,0.0254,"Z-Stability and Finite-Dimensional Tracial Boundaries",2014,"https://doi.org/10.1093/imrn/rnu001",2],[2,-0.739,-0.3387,"Finiteness properties for some rational Poincaré duality groups",2012,"https://doi.org/10.1215/ijm/1385129948",1],[2,-0.6653,-0.338,"Embedded surfaces and the structure of Donaldson's polynomial invariants",1995,"https://doi.org/10.4310/jdg/1214456482",1],[2,0.4906,0.709,"Introduction to Finite Fields and their Applications",1994,"https://doi.org/10.1017/cbo9781139172769",1],[2,-0.6479,0.5091,"Modular Machines and The Higman-Clapham-Valiev Embedding Theorem",1980,"https://doi.org/10.1016/s0049-237x(08)71328-4",1],[2,0.6407,0.121,"Infinite Runs in Weighted Timed Automata with Energy Constraints",2008,"https://doi.org/10.1007/978-3-540-85778-5_4",2],[2,-0.5975,0.4254,"Cannon-Thurston maps for trees of hyperbolic metric spaces",1998,"https://doi.org/10.4310/jdg/1214460609",1],[2,-0.6941,0.2222,"Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions",2004,"https://arxiv.org/abs/cond-mat/0407066",1],[2,0.0681,-0.7777,"Universal Extensions and One Dimensional Crystalline Cohomology",1974,"https://doi.org/10.1007/bfb0061628",1],[2,-0.3497,-0.5345,"Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds",1982,"https://doi.org/10.4310/jdg/1214436699",2],[2,-0.7276,-0.3582,"Resolutions modeled on ternary trees",1996,"https://doi.org/10.2140/pjm.1996.173.557",1],[2,0.6581,-0.4696,"Geometry of the Moment Map for Representations of Quivers",2001,"https://doi.org/10.1023/a:1017558904030",1],[2,0.5218,-0.5244,"The Self-Duality Equations on a Riemann Surface",1987,"https://doi.org/10.1112/plms/s3-55.1.59",1],[2,-0.616,0.2164,"Jang’s equation and its applications to marginally trapped surfaces",2011,"https://doi.org/10.1090/conm/554/10958",2],[2,-0.1527,0.6264,"Imaginary geometry I: interacting SLEs",2016,"https://doi.org/10.1007/s00440-016-0698-0",3],[2,0.0605,-0.7505,"A Gap in the Spectrum of the Faltings Height",2017,"https://doi.org/10.5802/jtnb.980",1],[2,0.6359,-0.5976,"Riemann-Roch Theorems for Deligne-Mumford Stacks",1998,"https://arxiv.org/abs/math/9803076",1],[2,-0.3341,-0.6682,"Manifolds all of whose Geodesics are Closed",1978,"https://doi.org/10.1007/978-3-642-61876-5",1],[2,-0.851,0.1439,"Towards proving strong direct product theorems",2002,"https://doi.org/10.1007/s00037-003-0175-x",1],[2,-0.3523,-0.7936,"Periodic geodesics on compact riemannian manifolds",1969,"https://doi.org/10.4310/jdg/1214429070",1],[2,-0.3206,0.5828,"Extended variational principle for the Sherrington-Kirkpatrick spin-glass model",2003,"https://doi.org/10.1103/physrevb.68.214403",9],[2,-0.1507,0.0113,"Kazhdan's Property (T)",2008,"https://doi.org/10.1017/cbo9780511542749",6],[2,0.0261,-0.6614,"Multiplicités modulaires et représentations de ${\\rm GL}\\sb 2(\\mathbf {Z}\\sb p)$ et de ${\\rm Gal}(\\overline {\\mathbf {Q}}\\sb p/\\mathbf {Q}\\sb p)$ en $\\ell=p$. Appendice par Guy Henniart. Sur l'unicité des types pour ${\\rm GL}\\sb 2$",2002,"https://doi.org/10.1215/s0012-7094-02-11522-1",2],[2,0.0074,0.7512,"On symmetric fusion categories in positive characteristic",2020,"https://doi.org/10.1007/s00029-020-00567-5",1],[2,-0.4568,0.4841,"Choiceless Polynomial Time on Structures with Small Abelian Colour Classes",2014,"https://doi.org/10.1007/978-3-662-44522-8_5",2],[2,0.4607,-0.63,"Relations on Mbar_{g,n} via 3-spin structures",2013,"https://arxiv.org/abs/1303.1043",1],[2,-0.757,0.3261,"Zero Energy States of Reduced Super Yang-Mills Theories in $d+1 = 4,6$ and 10 dimensions are necessarily $Spin(d)$ invariant",2002,"https://arxiv.org/abs/hep-th/0211226",1],[2,0.8013,0.3146,"The Ubiquitous Prouhet-Thue-Morse Sequence",1999,"https://doi.org/10.1007/978-1-4471-0551-0_1",1],[2,0.2594,-0.6726,"Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale",2018,"https://doi.org/10.1090/jams/897",1],[2,0.2188,-0.7395,"On the number of distinct values of Euler's φ-function",1988,"https://doi.org/10.4064/aa-49-3-263-275",1],[2,-0.1525,0.6441,"Holomorphic parafermions in the Potts model and stochastic Loewner evolution",2006,"https://doi.org/10.1088/1742-5468/2006/12/p12001",2],[2,-0.3596,-0.2084,"Perturbation Theory for Linear Operators",1995,"https://doi.org/10.1007/978-3-642-66282-9",5],[2,0.6436,0.0453,"Beating the Random Ordering Is Hard: Every Ordering CSP Is Approximation Resistant",2011,"https://doi.org/10.1137/090756144",2],[2,0.2611,0.588,"AN INCIDENCE CONJECTURE OF BOURGAIN OVER FIELDS OF POSITIVE CHARACTERISTIC",2016,"https://doi.org/10.1017/fms.2016.19",2],[2,0.4197,-0.4877,"Minimal models and the Kodaira dimension of algebraic fiber spaces.",1985,"https://doi.org/10.1515/crll.1985.363.1",3],[2,-0.8467,0.1084,"Short Cycles in Random Regular Graphs",2004,"https://doi.org/10.37236/1819",1],[2,0.4522,-0.5931,"Rational equivalence of 0-cycles on surfaces",1969,"https://doi.org/10.1215/kjm/1250523940",1],[2,0.7923,-0.0479,"Symétrisation dans l'espace de Gauss.",1983,"https://doi.org/10.7146/math.scand.a-12035",1],[2,-0.6607,0.0308,"Nuclear dimension and 𝒵-stability of non-simple C*-algebras",2015,"https://doi.org/10.1090/tran/6842",3],[2,0.1291,-0.7584,"On the error term in the linear sieve",1971,"https://doi.org/10.4064/aa-19-1-1-30",1],[2,-0.7261,0.3418,"Resonant delocalization for random Schrödinger operators on tree graphs",2013,"https://doi.org/10.4171/jems/389",1],[2,0.5783,-0.4771,"The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature",1988,"https://doi.org/10.4310/jdg/1214441778",1],[2,0.0104,0.7686,"Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients",2000,"https://doi.org/10.1007/978-94-011-4098-0_5",1],[2,0.7475,0.4064,"Diagram monoids and Graham–Houghton graphs: Idempotents and generating sets of ideals",2016,"https://doi.org/10.1016/j.jcta.2016.09.001",1],[2,-0.3565,0.6641,"Local Operator Theory, Random Matrices and Banach Spaces",2001,"https://doi.org/10.1016/s1874-5849(01)80010-3",1],[2,0.0372,-0.8022,"Dimensions des espaces de formes modulaires",1977,"https://doi.org/10.1007/bfb0065297",1],[2,0.3202,-0.572,"Compactness of the Chow scheme: Applications to automorphisms and deformations of Kahler manifolds",1978,"https://doi.org/10.1007/bfb0064399",2],[2,0.6176,-0.5769,"Some metric properties of arithmetic quotients of symmetric spaces and an extension theorem",1972,"https://doi.org/10.4310/jdg/1214430642",1],[2,-0.7161,-0.3575,"Peripheral splittings of groups",2001,"https://doi.org/10.1090/s0002-9947-01-02835-5",1],[2,0.5484,0.4778,"More limit cycles than expected in Liénard equations",2007,"https://doi.org/10.1090/s0002-9939-07-08688-1",1],[2,-0.368,0.5238,"A Law of Large Numbers for Random Walks in Random Environment",1999,"https://doi.org/10.1214/aop/1022874818",3],[2,-0.0669,0.6594,"Representations of Algebraic Groups",2007,"https://doi.org/10.1090/surv/107",3],[2,0.3581,0.6926,"Subgraph Densities in Signed Graphons and the Local Simonovits–Sidorenko Conjecture",2011,"https://doi.org/10.37236/614",1],[2,0.4949,-0.7109,"Modular embeddings of Teichmüller curves",2016,"https://doi.org/10.1112/s0010437x16007636",1],[2,0.7433,-0.2731,"Maximal theorems for the directional Hilbert transform on the plane",2006,"https://doi.org/10.1090/s0002-9947-06-03869-4",1],[2,0.1245,-0.7441,"On the Cubic Theta Function",1987,"https://doi.org/10.1017/s0027763000000817",1],[2,0.6886,-0.5063,"Raghunathan’s topological conjecture and distributions of unipotent flows",1991,"https://doi.org/10.1215/s0012-7094-91-06311-8",1],[2,-0.388,0.5201,"Liquid–Vapor Phase Transitions for Systems with Finite-Range Interactions",1999,"https://doi.org/10.1023/a:1004591218510",2],[2,0.5908,-0.2784,"A note on the almost everywhere behavior of solutions to the Schrödinger equation",1982,"https://doi.org/10.1007/bfb0093289",2],[2,-0.3134,0.6286,"First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory",1965,"https://doi.org/10.1007/978-3-642-49749-0_7",1],[2,0.2021,-0.5135,"Positivity in Algebraic Geometry I",2004,"https://doi.org/10.1007/978-3-642-18808-4",5],[2,-0.5815,0.633,"Characterising Choiceless Polynomial Time with First-Order Interpretations",2015,"https://doi.org/10.1109/lics.2015.68",1],[2,0.489,-0.6591,"On the Cartwright-Steger surface",2017,"https://doi.org/10.1090/jag/696",1],[2,0.3656,0.6767,"Ergodic actions with generalized discrete spectrum",1976,"https://doi.org/10.1215/ijm/1256049648",1],[2,-0.0446,0.7651,"Le déterminant de la cohomologie",1987,"https://doi.org/10.1090/conm/067/902592",1],[2,-0.7066,-0.4974,"On the duality problem for entropy numbers of operators",2006,"https://doi.org/10.1007/bfb0090048",1],[2,-0.3466,-0.6873,"Hyman Bass and ubiquity: Gorenstein rings",1999,"https://doi.org/10.1090/conm/243/03686",1],[2,-0.3589,0.5267,"Local Semicircle Law for Random Regular Graphs",2017,"https://doi.org/10.1002/cpa.21709",2],[2,0.5842,-0.2843,"Regularity of solutions to the Schrödinger equation",1987,"https://doi.org/10.1215/s0012-7094-87-05535-9",2],[2,0.3508,0.639,"A probabilistic Hadwiger-Nelson problem",2015,"https://arxiv.org/abs/1501.02441",1],[2,0.6988,-0.2753,"On coefficient problems for univalent functions and conformal dimension",1992,"https://doi.org/10.1215/s0012-7094-92-06605-1",1],[2,-0.1553,0.6469,"Imaginary geometry III: reversibility of \\SLE_\\kappa for \\kappa \\in (4,8)",2016,"https://doi.org/10.4007/annals.2016.184.2.3",3],[2,0.659,-0.4744,"Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras",1994,"https://doi.org/10.1215/s0012-7094-94-07613-8",1],[2,0.8142,-0.1763,"Operator Monotone Functions: Characterizations and Integral Representations",2013,"https://arxiv.org/abs/1305.2471",1],[2,0.2083,0.6036,"Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP",2015,"https://doi.org/10.1109/focs.2015.11",2],[2,-0.4602,-0.4202,"Kaehler structures on toric varieties",1994,"https://doi.org/10.4310/jdg/1214455538",2],[2,0.2056,-0.4847,"A Course in Arithmetic",1973,"https://doi.org/10.1007/978-1-4684-9884-4",4],[2,0.152,-0.8101,"A Short Proof of Kneser’s Addition Theorem for Abelian Groups",2014,"https://doi.org/10.1007/978-1-4939-1601-6_3",1],[2,-0.2078,0.6261,"Thorp Shuffling, Butterflies, and Non-Markovian Couplings",2014,"https://doi.org/10.1007/978-3-662-43948-7_29",10],[2,-0.627,0.3809,"Geometric presentations of Lie groups and their Dehn functions",2016,"https://doi.org/10.1007/s10240-016-0087-3",1],[2,0.422,-0.6339,"Diophantine Equations over Function Fields",1984,"https://doi.org/10.1017/cbo9780511752490",1],[2,-0.4893,-0.6518,"The local isometric embedding in $\\mathbf{R}^3$ of 2-dimensional Riemannian manifolds with nonnegative curvature",1985,"https://doi.org/10.4310/jdg/1214439563",1],[2,0.4475,-0.6678,"Affine surfaces containing cylinderlike open sets",1980,"https://doi.org/10.1215/kjm/1250522319",1],[2,-0.3948,0.3774,"A variational representation for certain functionals of Brownian motion",1998,"https://doi.org/10.1214/aop/1022855876",3],[2,0.2408,-0.6065,"On the geometric Langlands conjecture",2001,"https://doi.org/10.1090/s0894-0347-01-00388-5",2],[2,-0.7242,-0.2281,"Towards the finiteness of π*LK(n)S0",2008,"https://doi.org/10.1016/j.aim.2008.06.020",1],[2,0.3378,0.7009,"On the Ramsey number of the triangle and the cube",2015,"https://doi.org/10.1007/s00493-015-3089-8",1],[2,0.5259,-0.6934,"Lectures on Algebraic Cycles",2010,"https://doi.org/10.1017/cbo9780511760693",1],[2,0.3988,0.6818,"On the null space of a Colin de Verdière matrix",1999,"https://doi.org/10.5802/aif.1703",1],[2,-0.7008,0.175,"Linking Classical and Quantum Key Agreement: Is There a Classical Analog to Bound Entanglement?",2002,"https://doi.org/10.1007/s00453-002-0972-7",1],[2,-0.2237,0.6225,"On the random-cluster model",1972,"https://doi.org/10.1016/0031-8914(72)90045-6",13],[2,-0.2851,-0.6769,"C1,α regularity of solutions of some degenerate fully non-linear elliptic equations",2012,"https://doi.org/10.1016/j.aim.2012.07.033",1],[2,-0.6707,0.2497,"Mathematical Methods in Quantum Mechanics",2009,"https://doi.org/10.1090/gsm/099",1],[2,0.6876,0.1623,"Fast Integer Multiplication Using Modular Arithmetic",2008,"https://doi.org/10.1137/100811167",1],[2,-0.2431,0.6143,"Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees",2017,"https://doi.org/10.1007/s00440-017-0780-2",3],[2,0.0583,-0.7452,"Nondense Subsets of Varieties in a Power of an Elliptic Curve",2009,"https://doi.org/10.1093/imrn/rnn157",1],[2,0.3234,-0.5606,"Valuations and asymptotic invariants for sequences of ideals",2012,"https://doi.org/10.5802/aif.2746",4],[2,-0.772,0.0281,"Decomposition rank of UHF-absorbing C∗-algebras",2014,"https://doi.org/10.1215/00127094-2826908",1],[2,-0.7277,-0.0551,"Five remarks about random walks on groups",2014,"https://arxiv.org/abs/1406.0763",1],[2,-0.4431,-0.6361,"Positively curved complete noncompact Kähler manifolds",2009,"https://doi.org/10.1016/s0252-9602(09)60073-4",1],[2,0.326,-0.7863,"On the Functional Equations Satisfied by Eisenstein Series",1976,"https://doi.org/10.1007/bfb0079929",1],[2,0.7861,0.3358,"The Matching Problem Has No Fully Polynomial Size Linear Programming Relaxation Schemes",2015,"https://doi.org/10.1109/tit.2015.2465864",1],[2,0.8136,0.0945,"Unleashing the power of Schrijver's permanental inequality with the help of the Bethe Approximation",2011,"https://arxiv.org/abs/1106.2844",1],[2,0.1337,0.0583,"Lefschetz theorems on quasi-projective varieties",1985,"https://doi.org/10.24033/bsmf.2023",2],[2,-0.4122,-0.6956,"Function Theory on Manifolds Which Possess a Pole",1979,"https://doi.org/10.1007/bfb0063413",1],[2,0.8094,-0.0228,"Bilipschitz Embeddings of Metric Spaces into Space Forms",2001,"https://doi.org/10.1023/a:1012093209450",1],[2,-0.4848,-0.5244,"On a deformation of Riemannian structures on compact manifolds",1960,"https://doi.org/10.18910/8577",1],[2,0.3029,-0.7311,"Generators and Relations for Cyclotomic Units",1966,"https://doi.org/10.1017/s0027763000026258",1],[2,-0.7166,-0.2153,"Centralizers in good groups are good",2016,"https://doi.org/10.2140/agt.2016.16.1453",1],[2,-0.6341,-0.3588,"Locally Presentable and Accessible Categories",1994,"https://doi.org/10.1017/cbo9780511600579",1],[2,0.0512,-0.6438,"G-Functions and Geometry",1989,"https://doi.org/10.1007/978-3-663-14108-2",2],[2,0.6041,0.2104,"Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics",2011,"https://doi.org/10.1007/978-3-642-21493-6_8",2],[2,0.6608,-0.5093,"Stable Morphisms to Singular Schemes and Relative Stable Morphisms",2001,"https://doi.org/10.4310/jdg/1090348132",1],[2,0.3881,0.7628,"LINEAR FORMS AND QUADRATIC UNIFORMITY FOR FUNCTIONS ON",2011,"https://doi.org/10.1112/s0025579311001264",1],[2,0.2461,-0.6068,"Correspondance de Langlands géométrique pour les corps de fonctions",1987,"https://doi.org/10.1215/s0012-7094-87-05418-4",3],[2,0.2515,0.7099,"On minimal regular digraphs with given girth",1970,"https://doi.org/10.4064/fm-69-3-227-231",1],[2,0.4883,0.6722,"A Note on Elkin’s Improvement of Behrend’s Construction",2010,"https://doi.org/10.1007/978-0-387-68361-4_9",1],[2,-0.3638,-0.6019,"The Geometry of Schemes",2000,"https://doi.org/10.1007/b97680",1],[2,0.4696,0.4701,"Spectral invariants of convex planar regions",1982,"https://doi.org/10.4310/jdg/1214437138",2],[2,0.656,0.402,"The ternary Goldbach conjecture is true",2013,"https://doi.org/10.48550/arxiv.1312.7748",1],[2,-0.7516,-0.036,"Trace Ideals and Their Applications",2010,"https://doi.org/10.1090/surv/120",1],[2,0.7176,-0.3047,"The co-area formula for Sobolev mappings",2002,"https://doi.org/10.1090/s0002-9947-02-03091-x",1],[2,-0.6602,-0.3188,"L 2-topological invariants of 3-manifolds",1995,"https://doi.org/10.1007/bf01241121",1],[2,0.8449,-0.1594,"Analytic and group-theoretic aspects of the Cosine transform",2013,"https://doi.org/10.1090/conm/598/12009",1],[2,0.1952,-0.0567,"Proper base change for separated locally proper maps",2016,"https://doi.org/10.4171/rsmup/135-13",3],[2,-0.0133,0.0181,"Probabilistic algorithms for sparse polynomials",1979,"https://doi.org/10.1007/3-540-09519-5_73",6],[2,-0.6962,-0.2665,"On the form of potential spherical classes in $H_*Q_0S^0$",2009,"https://arxiv.org/abs/0909.3795",1],[2,0.5724,-0.5778,"Flat $G$-bundles with canonical metrics",1988,"https://doi.org/10.4310/jdg/1214442469",1],[2,-0.5289,0.3698,"The Temperley-Lieb categories and skein modules",2014,"https://arxiv.org/abs/1502.06845",2],[2,-0.7554,-0.3008,"On a space between $BH$ and $B_\\infty$",1975,"https://doi.org/10.2140/pjm.1975.60.235",1],[2,-0.4534,0.4836,"Choiceless Computation and Symmetry",2010,"https://doi.org/10.1007/978-3-642-15025-8_28",2],[2,-0.3478,0.6619,"On the Stability of the Quenched State in Mean-Field Spin-Glass Models",1998,"https://doi.org/10.1023/a:1023080223894",1],[2,-0.1197,0.7109,"Maximal subgroups of almost simple groups with socle $\\PSL(2,q)$",2007,"https://arxiv.org/abs/math/0703685",1],[2,0.0376,0.7262,"Topics in the Homological Theory of Modules over Commutative Rings",1975,"https://doi.org/10.1090/cbms/024",1],[2,-0.2884,-0.6502,"The homology theory of the closed geodesic problem",1976,"https://doi.org/10.4310/jdg/1214433729",1],[2,0.6696,0.5624,"Sixty Years of Bernoulli Convolutions",2000,"https://doi.org/10.1007/978-3-0348-8380-1_2",1],[2,0.1466,0.7478,"Asymptotic packing and the random greedy algorithm",1996,"https://doi.org/10.1002/(sici)1098-2418(199605)8:3<161::aid-rsa1>3.0.co;2-w",1],[2,0.5943,0.489,"Overlapping cylinders: the size of a dynamically defined Cantor-set",2010,"https://doi.org/10.1017/cbo9780511662812.009",1],[2,-0.6892,-0.2444,"Rings, Modules, and Algebras in Stable Homotopy Theory",2007,"https://doi.org/10.1090/surv/047",1],[2,-0.2731,-0.6981,"The periodic isoperimetric problem",2003,"https://doi.org/10.1090/s0002-9947-03-03362-2",1],[2,0.5254,-0.4876,"Shafarevich Maps and Automorphic Forms",1995,"https://doi.org/10.1515/9781400864195",1],[2,-0.8044,0.2823,"A strict maximum principle for area minimizing hypersurfaces",1987,"https://doi.org/10.4310/jdg/1214441373",1],[2,-0.436,0.4762,"Notes on quantization of symplectic vector spaces over finite fields",2007,"https://arxiv.org/abs/0708.0669",2],[2,0.2184,-0.5837,"Hodge Cycles on Abelian Varieties",1982,"https://doi.org/10.1007/978-3-540-38955-2_3",2],[2,-0.2979,-0.6863,"Nodal sets of eigenfunctions on Riemann surfaces",1992,"https://doi.org/10.4310/jdg/1214448750",1],[2,0.0685,-0.0956,"Linear Algebraic Groups and Finite Groups of Lie Type",2011,"https://doi.org/10.1017/cbo9780511994777",3],[2,0.0421,-0.7809,"Sur les représentations modulaires de degré 2 de Gal(Q¯/Q)",1987,"https://doi.org/10.1215/s0012-7094-87-05413-5",1],[2,0.4136,-0.516,"Resolution of singularities of threefolds in positive characteristic. I.",2008,"https://doi.org/10.1016/j.jalgebra.2008.03.032",2],[2,-0.1189,0.7689,"Representation Theory of Finite Reductive Groups",2004,"https://doi.org/10.1017/cbo9780511542763",1],[2,-0.5886,0.2831,"Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet",2015,"https://doi.org/10.1007/s00220-015-2402-0",4],[2,-0.4493,0.6715,"A selfconsistent theory of localization",1973,"https://doi.org/10.1088/0022-3719/6/10/009",1],[2,-0.2798,0.6502,"Percolation Probabilities on the Square Lattice",1978,"https://doi.org/10.1016/s0167-5060(08)70509-0",1],[2,-0.4142,0.7586,"A Question about the Parisi Functional",2005,"https://doi.org/10.1214/ecp.v10-1145",1],[2,-0.6667,0.4408,"An Elementary Construction of Unsolvable Word Problems in Group Theory",1973,"https://doi.org/10.1016/s0049-237x(08)71914-1",1],[2,0.0656,-0.8544,"Classes de Chern et classes de cycles en cohomologie rigide",2003,"https://doi.org/10.24033/bsmf.2437",1],[2,0.5128,-0.588,"Fibered stable varieties",2015,"https://doi.org/10.1090/tran/6386",1],[2,-0.5832,-0.4232,"Sur les fonctionnelles linéaires",1929,"https://doi.org/10.4064/sm-1-1-211-216",1],[2,-0.7533,-0.3819,"$\\rm PU(2)$ monopoles. I. Regularity, Uhlenbeck compactness, and transversality",1998,"https://doi.org/10.4310/jdg/1214461020",1],[2,-0.6143,0.2034,"Localizing solutions of the Einstein constraint equations",2015,"https://doi.org/10.1007/s00222-015-0642-4",2],[2,0.5441,-0.5838,"Ample Vector Bundles on Curves",1971,"https://doi.org/10.1017/s0027763000014379",1],[2,-0.6227,0.213,"On the Asymptotics for the Vacuum Einstein Constraint Equations",2006,"https://doi.org/10.4310/jdg/1146169910",4],[2,0.1679,-0.6242,"Shifted primes without large prime factors",1998,"https://doi.org/10.4064/aa-83-4-331-361",3],[2,0.0281,0.7238,"Cohen-macaulay modules",1973,"https://doi.org/10.1007/bfb0068925",1],[2,-0.3562,-0.7072,"On the volume of manifolds all of whose geodesics are closed",1974,"https://doi.org/10.4310/jdg/1214432547",1],[2,-0.7091,0.0818,"Scale-invariant breaking of conformal symmetry",2015,"https://doi.org/10.1088/1751-8113/48/41/41ft01",1],[2,-0.3822,-0.7413,"Asymmetry in Hilbert's fourth problem",2013,"https://arxiv.org/abs/1301.2524",1],[2,-0.3398,0.5437,"Percolation processes",1957,"https://doi.org/10.1017/s0305004100032680",2],[2,0.002,-0.8606,"l-Adic Representations and their Associated Invariants",2014,"https://arxiv.org/abs/1410.1039",1],[2,-0.366,-0.5294,"Deforming the metric on complete Riemannian manifolds",1989,"https://doi.org/10.4310/jdg/1214443292",4],[2,-0.126,0.7557,"Congruence lattices of finite algebras",2012,"https://arxiv.org/abs/1204.4305",1],[2,-0.8491,-0.1203,"Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index",1994,"https://doi.org/10.1007/bf01231764",1],[2,-0.3613,0.747,"The van den Berg–Kesten–Reimer operator and inequality for infinite spaces",2017,"https://doi.org/10.3150/16-bej883",1],[2,-0.7779,0.2892,"Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane",2004,"https://doi.org/10.1090/conm/362/06604",1],[2,-0.5398,0.3664,"Quivers, Floer cohomology, and braid group actions",2001,"https://doi.org/10.1090/s0894-0347-01-00374-5",2],[2,0.5746,-0.5468,"Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows",2015,"https://doi.org/10.1112/plms/pdv047",1],[2,0.5635,0.5747,"Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen",1942,"https://doi.org/10.11429/ppmsj1919.24.0_551",1],[2,-0.4049,-0.7583,"SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves",1996,"https://doi.org/10.1090/s0894-0347-96-00211-1",1],[2,-0.7976,0.2401,"The Bogoliubov inner product in quantum statistics",1993,"https://doi.org/10.1007/bf00739578",1],[2,0.6172,-0.5733,"Lagrangian Fibrations of Holomorphic-Symplectic Varieties of K3[n]-Type",2014,"https://doi.org/10.1007/978-3-319-05404-9_10",1],[2,0.5767,-0.4414,"The number of vertices of a Fano polytope",2006,"https://doi.org/10.5802/aif.2175",1],[2,-0.7588,0.3349,"Asymptotic Ground State for 10 Dimensional Reduced Supersymmetric SU(2) Yang Mills Theory",1998,"https://arxiv.org/abs/hep-th/9805080",1],[2,0.4058,-0.7337,"Bounds on the denominators in the canonical bundle formula",2013,"https://doi.org/10.5802/aif.2819",1],[2,-0.2845,0.2701,"The Spectral Measure of Certain Elements of the Complex Group Ring of a Wreath Product",2002,"https://doi.org/10.1023/a:1020381532489",2],[2,-0.4914,-0.5548,"On Gromov’s conjecture for totally non-spin manifolds",2015,"https://doi.org/10.1142/s1793525316500230",1],[2,0.4682,-0.4359,"Nilpotent groups and universal coverings of smooth projective varieties",1997,"https://doi.org/10.4310/jdg/1214459801",2],[2,0.0124,-0.7028,"Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of ℚ",2003,"https://doi.org/10.1090/s0894-0347-03-00433-8",1],[2,0.2926,-0.7705,"On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields",2005,"https://arxiv.org/abs/math/0504417",1],[2,0.4096,0.7134,"Thoughts on Barnette's Conjecture",2013,"https://arxiv.org/abs/1312.3783",1],[2,0.3697,-0.687,"Singular spaces with trivial canonical class",2018,"https://doi.org/10.2969/aspm/07010067",1],[2,-0.7875,0.2471,"The “transition probability” in the state space of a ∗-algebra",1976,"https://doi.org/10.1016/0034-4877(76)90060-4",1],[2,-0.7147,0.2463,"A Rigidity Theorem for Ricci Flat Metrics",1998,"https://doi.org/10.1023/a:1005094911005",1],[2,0.6002,-0.5095,"Quaternionic K�hler manifolds",1982,"https://doi.org/10.1007/bf01393378",1],[2,-0.55,-0.5902,"Positive Scalar Curvature, K-area and Essentialness",2011,"https://doi.org/10.1007/978-3-642-22842-1_10",1],[2,-0.2071,0.6064,"Some remarks on the characters of the general Lie superalgebra",2000,"https://arxiv.org/abs/math/0008152",4],[2,-0.8295,0.1356,"The Schur Algorithm in Terms of System Realizations",2009,"https://doi.org/10.1007/978-3-0346-0183-2_9",1],[2,0.4367,0.142,"Successive Minima and Lattice Points",2002,"https://arxiv.org/abs/math/0204158",2],[2,-0.5729,-0.4375,"Saturated extensions, the attractors method and Hereditarily James Tree Spaces",2006,"https://doi.org/10.1017/cbo9780511721366.003",1],[2,0.4157,0.6858,"Differentiability of cone-monotone functions on separable Banach space",2003,"https://doi.org/10.1090/s0002-9939-03-07149-1",1],[2,0.2003,0.7766,"Barker sequences of odd length",2015,"https://doi.org/10.1007/s10623-015-0104-4",1],[2,-0.7782,-0.0873,"Singly Generated II_1 Factors",2005,"https://arxiv.org/abs/math/0511327",1],[2,-0.7122,-0.2095,"Quasi-coherent sheaves on the moduli stack of formal groups",2008,"https://arxiv.org/abs/0802.0996",1],[2,-0.3834,0.6374,"Mean Field Models for Spin Glasses: Some Obnoxious Problems",2007,"https://doi.org/10.1007/978-3-540-40908-3_3",1],[2,0.4114,-0.5868,"On families of weakly admissible filtered phi-modules and the adjoint quotient of ${GL}_d$",2011,"https://doi.org/10.4171/dm/358",1],[2,0.4865,-0.4501,"Sur la convexit� holomorphe des rev�tements lin�aires r�ductifs d?une vari�t� projective alg�brique complexe",2004,"https://doi.org/10.1007/s00222-003-0345-0",2],[2,-0.1457,-0.6392,"The Boltzmann–Grad limit of a hard sphere system: analysis of the correlation error",2016,"https://doi.org/10.1007/s00222-016-0682-4",2],[2,0.1547,-0.7371,"Small Gaps Between Primes I",2005,"https://arxiv.org/abs/math/0504336",1],[2,0.23,0.8028,"Eigenvalues and expanders",1986,"https://doi.org/10.1007/bf02579166",1],[2,0.616,-0.5846,"Abelian fibred holomorphic symplectic manifolds",2004,"https://arxiv.org/abs/math/0404362",1],[2,-0.7616,-0.226,"The topology of spaces of knots",2002,"https://arxiv.org/abs/math/0202287",1],[2,0.5336,-0.354,"Complex manifolds with split tangent bundle",2000,"https://doi.org/10.1515/9783110806090-004",2],[2,-0.3529,-0.7422,"On the Fixed Points of a Hamiltonian Diffeomorphism in Presence of Fundamental Group",2016,"https://doi.org/10.1007/978-3-319-31338-2_10",1],[2,-0.0612,0.85,"Signed Graphs and Geometry",2013,"https://arxiv.org/abs/1303.2770",1],[2,0.5985,-0.6337,"Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields",2013,"https://doi.org/10.24033/asens.2205",1],[2,0.4278,-0.4614,"Geometric stability of the cotangent bundle and the universal cover of a projective manifold",2011,"https://doi.org/10.24033/bsmf.2599",2],[2,0.6708,0.2225,"Randomized Online Computation with High Probability Guarantees",2022,"https://doi.org/10.1007/s00453-022-00925-z",1],[2,0.6778,-0.4872,"Toric hyperkähler varieties",2002,"https://doi.org/10.4171/dm/130",1],[2,-0.7303,0.3171,"Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models",2002,"https://arxiv.org/abs/hep-th/0206043",1],[2,0.6208,-0.4782,"The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants",2004,"https://doi.org/10.1007/978-3-322-80236-1_3",1],[2,0.3078,-0.7789,"Quantum groups, the loop Grassmannian, and the Springer resolution",2004,"https://doi.org/10.1090/s0894-0347-04-00454-0",1],[2,-0.6273,0.447,"Currents on free groups",2006,"https://doi.org/10.1090/conm/394/07441",1],[2,-0.2674,0.6108,"Crossing probabilities for Voronoi percolation",2016,"https://doi.org/10.1214/15-aop1052",3],[2,-0.6788,-0.4847,"On the covering numbers of convex bodies",1987,"https://doi.org/10.1007/bfb0078138",1],[2,-0.2015,0.6275,"Scaling relations for 2D-percolation",1987,"https://doi.org/10.1007/bf01205674",2],[2,-0.3205,-0.743,"Resonance for loop homology of spheres",2013,"https://doi.org/10.4310/jdg/1357141508",1],[2,-0.2166,0.6258,"On the Araki-Lieb-Thirring inequality",2007,"https://arxiv.org/abs/math/0701129",6],[2,0.5971,-0.6343,"Special orbifolds and birational classification: a survey",2010,"https://doi.org/10.4171/007-1/6",1],[2,0.6765,-0.2944,"Reflectionless measures for Calderón-Zygmund operators",2013,"https://arxiv.org/abs/1309.6661",1],[2,-0.0901,0.7017,"Hattori-Stallings trace and Euler characteristics for groups",2009,"https://doi.org/10.1017/cbo9781139107099.007",1],[2,0.3502,-0.5333,"Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs",2016,"https://doi.org/10.1007/s10240-016-0080-x",8],[2,0.3537,-0.6396,"The global indices of log Calabi-Yau varieties --A supplement to Fujino's paper: The indices of log canonical singularities--",2000,"https://arxiv.org/abs/math/0003060",1],[2,0.2478,-0.6135,"The Book of Involutions",1998,"https://doi.org/10.1090/coll/044",2],[2,-0.1958,-0.8513,"Principles of the Kinetic Theory of Gases",1958,"https://doi.org/10.1007/978-3-642-45892-7_3",1],[2,-0.0567,0.6594,"The Saxl conjecture and the dominance order",2015,"https://doi.org/10.1016/j.disc.2015.04.027",2],[2,-0.6538,0.0286,"Completely positive maps of order zero",2009,"https://arxiv.org/abs/0903.3290",4],[2,0.5293,-0.3963,"On the Frobenius Integrability of Certain Holomorphic p-Forms",2002,"https://doi.org/10.1007/978-3-642-56202-0_6",2],[2,0.2531,-0.7011,"Un lemme de Roth sur les groupes algébriques commutatifs",2006,"https://arxiv.org/abs/math/0603257",1],[2,0.4424,-0.4608,"Quelques propriétés de stabilité des variétés spéciales",2016,"https://doi.org/10.1007/s00209-015-1611-8",2],[2,0.2684,0.6685,"Chromatic quasisymmetric functions",2016,"https://doi.org/10.1016/j.aim.2015.12.018",1],[2,0.5646,-0.6384,"Bounded sets of sheaves on Kähler manifolds",2013,"https://doi.org/10.1515/crelle-2013-0093",1],[2,-0.3046,0.7626,"Liouville heat kernel: Regularity and bounds",2016,"https://doi.org/10.1214/15-aihp676",1],[2,-0.2428,0.6073,"Quantum gravity and inventory accumulation",2016,"https://doi.org/10.1214/15-aop1061",6],[2,-0.5866,-0.2607,"ENGEL RELATIONS IN 4-MANIFOLD TOPOLOGY",2016,"https://doi.org/10.1017/fms.2016.20",2],[2,0.2271,0.8179,"A proof of Alon’s second eigenvalue conjecture and related problems",2008,"https://doi.org/10.1090/memo/0910",1],[2,0.011,-0.7291,"Topology of Diophantine sets: remarks on Mazur’s conjectures",2000,"https://doi.org/10.1090/conm/270/04377",1],[2,-0.7881,-0.3048,"Adams filtration and generalized Hurewicz maps for infinite loopspaces",2018,"https://doi.org/10.1007/s00222-018-0814-0",1],[2,-0.3559,-0.5289,"Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature",2017,"https://doi.org/10.1016/j.aim.2017.08.025",2],[2,-0.4515,0.6219,"The statistics of dimers on a lattice",1961,"https://doi.org/10.1016/0031-8914(61)90063-5",1],[2,0.811,0.2155,"Set Covering with Ordered Replacement: Additive and Multiplicative Gaps",2011,"https://doi.org/10.1007/978-3-642-20807-2_14",1],[2,0.3466,-0.5136,"Simple Hironaka resolution in characteristic zero",2005,"https://doi.org/10.1090/s0894-0347-05-00493-5",10],[2,0.6914,0.1957,"On Punctual Quot Schemes for Algebraic Surfaces",1997,"https://doi.org/10.48550/arxiv.alg-geom/9703038",1],[2,-0.6087,0.1999,"The Formation of Black Holes in General Relativity",2009,"https://doi.org/10.4171/068",3],[2,0.5076,-0.526,"Explicit Serre duality on complex spaces",2016,"https://doi.org/10.1016/j.aim.2016.10.013",1],[2,0.3624,-0.5596,"Kähler packings and Seshadri constants on projective complex surfaces",2017,"https://doi.org/10.1016/j.difgeo.2017.03.007",2],[2,0.6248,-0.5506,"Bertini and his two fundamental theorems",1997,"https://arxiv.org/abs/alg-geom/9704018",1],[2,-0.2778,0.6917,"An elementary approach to Gaussian multiplicative chaos",2017,"https://doi.org/10.1214/17-ecp58",1],[2,0.3847,0.6595,"Every planar map is four colorable. Part I: Discharging",1977,"https://doi.org/10.1215/ijm/1256049011",1],[2,0.4343,-0.4803,"Movable Curves and Semistable Sheaves",2015,"https://doi.org/10.1093/imrn/rnv126",4],[2,-0.3192,0.5653,"Guerra's interpolation using Derrida-Ruelle cascades",2007,"https://doi.org/10.48550/arxiv.0708.3641",2],[2,-0.3007,0.574,"The Thermodynamic Limit in Mean Field Spin Glass Models",2002,"https://doi.org/10.1007/s00220-002-0699-y",4],[2,0.4739,-0.5392,"On the isotriviality of families of projective manifolds over curves",2000,"https://arxiv.org/abs/math/0002203",1],[2,0.7085,-0.4965,"Negative holomorphic curvature and positive canonical bundle",2015,"https://doi.org/10.1007/s00222-015-0621-9",1],[2,-0.2749,0.6005,"Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices",1998,"https://doi.org/10.1023/a:1023084324803",2],[2,0.4946,0.6872,"A Survey of Problems in Combinatorial Number Theory",1980,"https://doi.org/10.1016/s0167-5060(08)70697-6",1],[2,-0.613,-0.1614,"Nilpotence and descent in equivariant stable homotopy theory",2016,"https://doi.org/10.1016/j.aim.2016.09.027",6],[2,-0.6597,0.4153,"�ber das Paulische �quivalenzverbot",1928,"https://doi.org/10.1007/bf01331938",1],[2,-0.1599,0.637,"On Analytic Vectors for Unitary Representations of Infinite Dimensional Lie Groups",2011,"https://doi.org/10.5802/aif.2660",3],[2,-0.0455,0.7126,"The honeycomb model of $GL_n(\\mathbb C)$ tensor products I: Proof of the saturation conjecture",1999,"https://doi.org/10.1090/s0894-0347-99-00299-4",1],[2,-0.7968,-0.1103,"Free monotone transport",2013,"https://doi.org/10.1007/s00222-013-0493-9",1],[2,0.2507,-0.6539,"Iwahori-Hecke Algebras",2003,"https://arxiv.org/abs/math/0309168",1],[2,-0.6225,-0.1847,"The Galois group of a stable homotopy theory",2016,"https://doi.org/10.1016/j.aim.2015.12.017",6],[2,-0.6619,-0.0276,"Entropy and index for subfactors",1986,"https://doi.org/10.24033/asens.1504",2],[2,0.4524,-0.5807,"The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds",2016,"https://doi.org/10.1007/s00222-016-0665-5",1],[2,-0.4286,-0.6117,"Three Circle Theorems on Kähler manifolds and applications",2013,"https://arxiv.org/abs/1308.0710",1],[2,0.4159,-0.6399,"Computing limit linear series with infinitesimal methods",2007,"https://doi.org/10.5802/aif.2319",1],[2,-0.388,-0.7559,"Great sphere foliations and manifolds with curvature bounded above",1996,"https://arxiv.org/abs/dg-ga/9609007",1],[2,0.0244,-0.7977,"Le lemme fondamental pour les algèbres de Lie",2010,"https://doi.org/10.1007/s10240-010-0026-7",1],[2,0.6456,0.1463,"A Lower Bound for Fourier Transform Computation in a Linear Model Over 2x2 Unitary Gates Using Matrix Entropy",2013,"https://doi.org/10.48550/arxiv.1305.4745",2],[2,-0.619,0.2158,"A Course in Metric Geometry",2001,"https://doi.org/10.1090/gsm/033",2],[2,0.4934,-0.696,"Hodge structures of CM-type",2006,"https://arxiv.org/abs/math/0601052",1],[2,-0.2739,0.5982,"Higher moments of the natural parameterization for SLE curves",2017,"https://doi.org/10.1214/15-aihp712",2],[2,0.6145,-0.579,"A global Torelli theorem for hyperkaehler manifolds (after Verbitsky)",2011,"https://arxiv.org/abs/1106.5573",1],[2,-0.7133,0.2497,"The Penrose inequality on perturbations of the Schwarzschild exterior",2015,"https://arxiv.org/abs/1506.06400",1],[2,-0.6642,-0.3783,"Towards a Thomason model structure on the category of strict n-categories",2013,"https://doi.org/10.1016/j.aim.2014.03.013",1],[2,-0.445,-0.6187,"Problèmes isopérimétriques et espaces de Sobolev",1976,"https://doi.org/10.4310/jdg/1214433725",1],[2,0.1389,-0.7372,"Zeros ofL-functions",1969,"https://doi.org/10.1007/bf01404638",1],[2,-0.6586,0.5554,"A sharp threshold for collapse of the random triangular group",2017,"https://doi.org/10.4171/ggd/417",1],[2,-0.2386,0.616,"Liouville Brownian motion",2016,"https://doi.org/10.1214/15-aop1042",3],[2,-0.7049,-0.3961,"The homotopy type of the $\\infty$-category associated to a simplicial complex",2015,"https://arxiv.org/abs/1503.02720",1],[2,0.5415,-0.0438,"Cancellation for the simplex Hilbert transform",2017,"https://doi.org/10.4310/mrl.2017.v24.n2.a16",4],[2,0.3092,-0.5695,"Introduction to the log minimal model program for log canonical pairs",2009,"https://arxiv.org/abs/0907.1506",2],[2,0.4471,-0.7482,"Seifert $G_m$-bundles",2004,"https://arxiv.org/abs/math/0404386",1],[2,0.6598,0.3574,"Partitioned Binary Relations",2013,"https://doi.org/10.7146/math.scand.a-15480",1],[2,0.5433,-0.521,"Spectral covers, algebraically completely integrable, hamiltonian systems, and moduli of bundles",1996,"https://doi.org/10.1007/bfb0094792",1],[2,-0.0741,0.643,"Rank Element of a Projective Module",1965,"https://doi.org/10.1017/s002776300001148x",3],[2,0.666,-0.4802,"Equivariant cohomology and equivariant intersection theory",1998,"https://doi.org/10.1007/978-94-015-9131-7_1",1],[2,-0.2395,0.6065,"Conformal weldings of random surfaces: SLE and the quantum gravity zipper",2016,"https://doi.org/10.1214/15-aop1055",2],[2,-0.4845,0.7165,"Eigenvalue Spacings for Regular Graphs",1999,"https://doi.org/10.1007/978-1-4612-1544-8_12",1],[2,0.413,-0.568,"A conjectural connection between R^*(C_g^n) and R^*(M_{g,n}^rt)",2014,"https://arxiv.org/abs/1412.5036",1],[2,0.4868,-0.6105,"Existence of Mori fibre spaces for 3-folds in char p",2017,"https://doi.org/10.1016/j.aim.2017.03.032",1],[2,0.4504,0.4545,"Toric Differential Inclusions and a Proof of the Global Attractor Conjecture",2015,"https://arxiv.org/abs/1501.02860",2],[2,-0.7707,-0.22,"The syntomic regulator for the K-theory of fields",2003,"https://doi.org/10.1016/j.ansens.2003.01.003",1],[2,-0.0106,-0.0102,"The projectivity of the moduli space of stable curves. I: Preliminaries on \"det\" and \"Div\".",1976,"https://doi.org/10.7146/math.scand.a-11642",2],[2,-0.535,-0.62,"Existence of infinitely many minimal hypersurfaces in positive Ricci curvature",2017,"https://doi.org/10.1007/s00222-017-0716-6",1],[2,0.7027,0.3471,"A Dependent LP-Rounding Approach for the k-Median Problem",2012,"https://doi.org/10.1007/978-3-642-31594-7_17",1],[2,-0.2667,0.6609,"The gap between Gromov-vague and Gromov–Hausdorff-vague topology",2016,"https://doi.org/10.1016/j.spa.2016.02.009",1],[2,0.4492,-0.6418,"The Hodge conjecture and arithmetic quotients of complex balls",2016,"https://doi.org/10.1007/s11511-016-0136-2",1],[2,-0.6453,0.023,"Strict comparison and $ \\mathcal{Z} $-absorption of nuclear C∗-algebras",2012,"https://doi.org/10.1007/s11511-012-0084-4",2],[2,-0.4514,-0.5806,"On the convexity of the entropy along entropic interpolations",2017,"https://doi.org/10.1515/9783110550832-006",1],[2,-0.3015,0.6751,"The sharp Hausdorff measure condition for length of projections",2005,"https://doi.org/10.1090/s0002-9939-05-08073-1",1],[2,0.3659,0.7047,"An information theoretic approach to Sidorenko's conjecture",2014,"https://arxiv.org/abs/1406.6738",1],[2,-0.734,-0.228,"Continuous cohomology and homology of profinite groups",2016,"https://doi.org/10.4171/dm/x2",1],[2,0.5182,0.013,"Cancellation for the multilinear Hilbert transform",2015,"https://doi.org/10.1007/s13348-015-0162-y",6],[2,0.4077,0.7152,"A Computer-Assisted Proof of the Barnette--Goodey Conjecture: Not Only Fullerene Graphs Are Hamiltonian",2020,"https://doi.org/10.1137/140984737",1],[2,-0.8304,0.1216,"Rationality, regularity, and 𝐶₂-cofiniteness",2003,"https://doi.org/10.1090/s0002-9947-03-03413-5",1],[2,0.2223,0.7756,"A new proof of Friedman's second eigenvalue theorem and its extension to random lifts",2020,"https://doi.org/10.24033/asens.2450",1],[2,-0.0681,0.6969,"Sumsets and the Convex Hull",2010,"https://doi.org/10.1007/978-0-387-68361-4_16",1],[2,-0.3045,0.7399,"Tessellations of random maps of arbitrary genus",2009,"https://doi.org/10.24033/asens.2108",1],[2,-0.2169,0.7571,"Universality for SLE(4)",2010,"https://arxiv.org/abs/1010.1356",1],[2,-0.4694,0.6752,"Über eine Eigenschaft der normalen Verteilungsfunktion",1936,"https://doi.org/10.1007/bf01180430",1],[2,0.0297,-0.8251,"Uniform bounds for the number of rational points on curves of small Mordell–Weil rank",2016,"https://doi.org/10.1215/00127094-3673558",1],[2,-0.7927,0.2505,"A Solution of Gaussian Optimizer Conjecture for Quantum Channels",2014,"https://doi.org/10.1007/s00220-014-2150-6",1],[2,-0.8397,-0.2393,"Comparing natural volume forms on GL_n",2010,"https://arxiv.org/abs/1011.5081",1],[2,-0.3646,0.6469,"Exact theory of dense amorphous hard spheres in high dimension. III. The full replica symmetry breaking solution",2014,"https://doi.org/10.1088/1742-5468/2014/10/p10009",1],[2,0.047,0.8212,"Categorified duality in Boij–Söderberg theory and invariants of free complexes",2017,"https://doi.org/10.4171/jems/725",1],[2,-0.7311,0.0995,"Extremal cuts of sparse random graphs",2017,"https://doi.org/10.1214/15-aop1084",1],[2,-0.0921,0.3934,"Zur allgemeinen Theorie des Masses",1929,"https://doi.org/10.4064/fm-13-1-73-116",2],[2,0.6065,-0.3978,"Gauge theory on asymptotically periodic {4}-manifolds",1987,"https://doi.org/10.4310/jdg/1214440981",1],[2,0.2251,-0.6191,"On the structure of non-archimedean analytic curves",2013,"https://doi.org/10.1090/conm/605/12113",2],[2,0.4107,-0.4995,"Residues and Duality",1966,"https://doi.org/10.1007/bfb0080482",2],[2,-0.1169,-0.7358,"Scaling coupling of reflecting Brownian motions and the hot spots problem",2002,"https://doi.org/10.1090/s0002-9947-02-03020-9",1],[2,-0.0527,0.8348,"On the Clifford algebra of a binary form",2003,"https://doi.org/10.1090/s0002-9947-03-03293-8",1],[2,0.7518,-0.1554,"A SIMPLICIAL POLYTOPE THAT MAXIMIZES THE ISOTROPIC CONSTANT MUST BE A SIMPLEX",2015,"https://doi.org/10.1112/s0025579315000133",1],[2,0.6509,0.1404,"Even faster integer multiplication",2016,"https://doi.org/10.1016/j.jco.2016.03.001",2],[2,-0.7809,0.3199,"Conditional brownian motion and the boundary limits of harmonic functions",1957,"https://doi.org/10.24033/bsmf.1494",1],[2,-0.7257,-0.3611,"An Elementary Proof of a Theorem of L. Moore's on Continuous Curves",1930,"https://doi.org/10.4099/jjm1924.7.0_301",1],[2,-0.2557,-0.5899,"Pseudospectra of semiclassical (pseudo‐) differential operators",2003,"https://doi.org/10.1002/cpa.20004",2],[2,-0.6866,0.4231,"On the topological full group of a minimal Cantor 𝐙²-system",2013,"https://doi.org/10.1090/s0002-9939-2013-11654-0",1],[2,-0.7716,0.0889,"Unitarity, Locality, and Scale versus Conformal Invariance in Four Dimensions",2014,"https://arxiv.org/abs/1403.4939",1],[2,-0.7307,-0.4043,"On the homotopy theory of Grothendieck ∞ -groupoids",2012,"https://doi.org/10.1016/j.jpaa.2012.10.010",1],[2,0.2401,-0.6159,"Coherent Tannaka duality and algebraicity of Hom-stacks",2019,"https://doi.org/10.2140/ant.2019.13.1633",4],[2,-0.1325,0.8126,"Interval enforceable properties of finite groups",2012,"https://arxiv.org/abs/1205.1927",1],[2,0.6498,-0.5182,"The class of the affine line is a zero divisor in the Grothendieck ring",2017,"https://doi.org/10.1090/jag/701",1],[2,-0.539,-0.5731,"The Plateau problem for marginally outer trapped surfaces",2009,"https://doi.org/10.4310/jdg/1264601035",1],[2,0.5619,0.4887,"On Liénard's equation",1977,"https://doi.org/10.1007/bfb0085364",1],[2,-0.3948,0.7056,"Marginal Stability Constrains Force and Pair Distributions at Random Close Packing",2012,"https://doi.org/10.1103/physrevlett.109.125502",1],[2,-0.1696,0.619,"Exploration trees and conformal loop ensembles",2009,"https://doi.org/10.1215/00127094-2009-007",4],[2,0.6394,-0.5799,"Observations on harmonic maps and singular varieties",1996,"https://doi.org/10.24033/asens.1737",1],[2,0.3269,-0.551,"Multiplier ideals of monomial ideals",2001,"https://doi.org/10.1090/s0002-9947-01-02720-9",3],[2,-0.3169,0.777,"Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent",2015,"https://arxiv.org/abs/1505.03375",1],[2,0.3833,-0.6095,"Remarks on Ein-Lazarsfeld criterion of spannedness of adjoint bundles of polarized threefolds",1993,"https://arxiv.org/abs/alg-geom/9311013",1],[2,-0.0543,-0.5612,"L-Functions and Tamagawa Numbers of Motives",2007,"https://doi.org/10.1007/978-0-8176-4574-8_9",8],[2,0.3718,-0.5217,"A Reduction Map for Nef Line Bundles",2002,"https://doi.org/10.1007/978-3-642-56202-0_2",5],[2,-0.7432,-0.2125,"Exterior Powers of Lubin-Tate Groups",2015,"https://doi.org/10.5802/jtnb.895",1],[2,0.6217,0.3499,"New separation between $s(f)$ and $bs(f)$",2011,"https://doi.org/10.48550/arxiv.1108.3494",1],[2,0.1108,-0.797,"Sums of Three or More Primes",1997,"https://doi.org/10.1090/s0002-9947-97-01652-8",1],[2,0.45,-0.6228,"Automorphisms of generalized Fermat curves",2016,"https://doi.org/10.1016/j.jpaa.2016.12.011",1],[2,0.6352,-0.54,"Ricci flow unstable cell centered at an Einstein metric on the twistor space of positive quaternion Kähler manifolds of dimension $\\geq 8$",2008,"https://arxiv.org/abs/0801.2605",1],[2,-0.4637,0.6704,"A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments",2008,"https://doi.org/10.1007/978-3-7643-8786-0_7",1],[2,-0.4545,-0.5892,"Obata’s Rigidity Theorem for Metric Measure Spaces",2015,"https://doi.org/10.1515/agms-2015-0016",1],[2,-0.4894,-0.6737,"The Cartan–Hadamard conjecture and the Little Prince",2019,"https://doi.org/10.4171/rmi/1082",1],[2,-0.3523,-0.7069,"On Blaschke’s conjecture",2016,"https://doi.org/10.2140/pjm.2016.282.479",1],[2,0.5887,-0.3799,"The orientation of Yang-Mills moduli spaces and 4-manifold topology",1987,"https://doi.org/10.4310/jdg/1214441485",1],[2,-0.4641,-0.5795,"A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces",2013,"https://doi.org/10.48550/arxiv.1307.2224",1],[2,0.4749,-0.5491,"Bergman kernels and subadjunction",2010,"https://arxiv.org/abs/1002.4145",1],[2,-0.3055,0.7234,"The scaling limits of near-critical and dynamical percolation",2018,"https://doi.org/10.4171/jems/786",1],[2,0.4865,-0.4196,"Extending holomorphic mappings from subvarieties in Stein manifolds",2005,"https://doi.org/10.5802/aif.2112",2],[2,-0.663,0.3992,"Metric Geometry of Locally Compact Groups",2016,"https://doi.org/10.4171/166",1],[2,-0.7674,-0.167,"A relationship between HNN extensions and amalgamated free products in operator algebras",2006,"https://arxiv.org/abs/math/0601706",1],[2,0.5157,-0.395,"Virasoro constraints for quantum cohomology",1998,"https://doi.org/10.4310/jdg/1214424970",2],[2,0.4194,-0.4874,"Global generation of the direct images of relative pluricanonical systems",2010,"https://arxiv.org/abs/1012.0884",3],[2,0.4595,0.4642,"An integrable deformation of an ellipse of small eccentricity is an ellipse",2016,"https://doi.org/10.4007/annals.2016.184.2.5",2],[2,-0.1238,-0.6347,"Progress and puzzles in nonlinear elasticity",2010,"https://doi.org/10.1007/978-3-7091-0174-2_1",2],[2,-0.199,0.7196,"Delocalization of Two-Dimensional Random Surfaces with Hard-Core Constraints",2015,"https://doi.org/10.1007/s00220-015-2419-4",1],[2,-0.3871,-0.7148,"Almost Kahler forms on rational 4-manifolds",2012,"https://arxiv.org/abs/1210.2377",1],[2,-0.2871,0.6668,"Critical percolation in the plane",2009,"https://arxiv.org/abs/0909.4499",1],[2,0.7124,0.3038,"Query Complexity in Expectation",2015,"https://doi.org/10.1007/978-3-662-47672-7_62",1],[2,0.8206,-0.1072,"NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS",2015,"https://doi.org/10.1017/s1474748015000201",1],[2,-0.7582,0.2727,"Boundary regularity of conformally compact Einstein metrics",2005,"https://doi.org/10.4310/jdg/1121540341",1],[2,0.235,-0.5994,"Compactifying the space of stable maps",2001,"https://doi.org/10.1090/s0894-0347-01-00380-0",2],[2,-0.6997,-0.3774,"On homotopy types modelized by strict \\infty-groupoids",2012,"https://arxiv.org/abs/1206.2945",1],[2,0.0246,-0.7843,"Index Formulas for Ramified Elliptic Units",2003,"https://doi.org/10.1023/a:1023667807218",1],[2,-0.3365,-0.6666,"Vorlesungen über Differentialgeometrie und Geometrische Grundlagen von Einsteins Relativitätstheorie",1921,"https://doi.org/10.1007/978-3-642-49666-0",1],[2,0.2574,-0.6545,"Birational geometry for nilpotent orbits",2010,"https://arxiv.org/abs/1002.2821",1],[2,0.5613,-0.4293,"Rational curves on hypersurfaces [after A. Givental]",1998,"https://arxiv.org/abs/math/9806133",1],[2,0.0224,-0.7335,"Le lemme fondamental pondéré. II. Énoncés cohomologiques",2012,"https://doi.org/10.4007/annals.2012.176.3.6",1],[2,-0.4099,0.638,"A correlation inequality for connection events in percolation",2001,"https://doi.org/10.1214/aop/1008956324",1],[2,-0.666,0.0188,"THE STABLE AND THE REAL RANK OF ${\\mathcal Z}$-ABSORBING C*-ALGEBRAS",2004,"https://doi.org/10.1142/s0129167x04002661",2],[2,-0.0283,0.6385,"Some general dynamical notions",1973,"https://doi.org/10.1007/bfb0061728",2],[2,0.7193,-0.4913,"Riemannian geometry of Kahler-Einstein currents",2014,"https://arxiv.org/abs/1404.0445",1],[2,-0.1954,0.6164,"Random curves, scaling limits and Loewner evolutions",2017,"https://doi.org/10.1214/15-aop1074",7],[2,-0.1578,0.6327,"Form factors of the XXZ Heisenberg finite chain",1999,"https://doi.org/10.1016/s0550-3213(99)00295-3",2],[2,0.5935,-0.5693,"Algebraization Techniques and Rigid-Analytic Artin-Grothendieck Vanishing",2018,"https://doi.org/10.24033/asens.2641",1],[2,-0.7758,-0.1563,"On the stable rank of simple C*-algebras",1999,"https://doi.org/10.1090/s0894-0347-99-00314-8",1],[2,-0.3416,-0.5534,"A momentum construction for circle-invariant Kähler metrics",2002,"https://doi.org/10.1090/s0002-9947-02-02965-3",3],[2,-0.664,-0.3362,"Cosmetic surgery on knots",1999,"https://doi.org/10.2140/gtm.1999.2.23",1],[2,-0.4386,-0.4913,"Regularity of area minimizing currents III: blow-up",2016,"https://doi.org/10.4007/annals.2016.183.2.3",2],[2,0.2097,-0.6776,"Generalized interpolation in 𝐻^{∞}",1967,"https://doi.org/10.1090/s0002-9947-1967-0208383-8",1],[2,0.7243,-0.0871,"Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere",2016,"https://doi.org/10.1007/s00365-016-9357-z",1],[2,-0.3231,0.6317,"The Satisfiability Threshold of Random 3-SAT Is at Least 3.52",2003,"https://arxiv.org/abs/math/0310193",1],[2,-0.3606,-0.7045,"The Lichnerowicz conjecture on harmonic manifolds",1990,"https://doi.org/10.4310/jdg/1214444087",1],[2,-0.7217,-0.2077,"On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring",2004,"https://doi.org/10.1090/s0002-9947-04-03599-8",1],[2,0.4333,-0.4874,"Rationally connected manifolds and semipositivity of the Ricci curvature",2015,"https://doi.org/10.1017/cbo9781107416000.006",7],[2,0.785,-0.1067,"Exact Rosenthal-type bounds",2015,"https://doi.org/10.1214/14-aop942",1],[2,0.1614,-0.6232,"Multiplicative functions in short intervals",2016,"https://doi.org/10.4007/annals.2016.183.3.6",4],[2,-0.8265,0.1262,"Modular invariance of characters of vertex operator algebras",1996,"https://doi.org/10.1090/s0894-0347-96-00182-8",1],[2,0.5993,-0.531,"The complex gradient inequality with parameter",2017,"https://doi.org/10.1007/s00605-017-1135-x",1],[2,-0.7828,0.0245,"Covering Dimension of C*-Algebras and 2-Coloured Classification",2019,"https://doi.org/10.1090/memo/1233",1],[2,-0.661,-0.0462,"The standard form of von Neumann algebras.",1975,"https://doi.org/10.7146/math.scand.a-11606",3],[2,-0.0769,0.8371,"A minimal Set of Generators for the Ring of multisymmetric Functions",2007,"https://doi.org/10.5802/aif.2312",1],[2,0.5989,-0.589,"Compact generation of the category of D-modules on the stack of G-bundles on a curve",2011,"https://arxiv.org/abs/1112.2402",1],[2,0.4647,-0.5455,"Base Spaces of Non-Isotrivial Families of Smooth Minimal Models",2002,"https://doi.org/10.1007/978-3-642-56202-0_16",1],[2,-0.0477,0.7956,"An application of liaison theory to the Eisenbud–Green–Harris conjecture",2015,"https://doi.org/10.1016/j.jalgebra.2015.09.004",1],[2,-0.5169,0.4017,"Embeddings into Finitely Generated Simple Groups Which Preserve the Word Problem",1980,"https://doi.org/10.1016/s0049-237x(08)71348-x",2],[2,0.0437,-0.7774,"Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings",2017,"https://doi.org/10.1007/s00208-017-1557-8",1],[2,0.5088,0.6677,"A relative Szemerédi theorem",2015,"https://doi.org/10.1007/s00039-015-0324-9",1],[2,-0.4734,0.0385,"On pairs of 2-complexes and systems of equations over groups.",1981,"https://doi.org/10.1515/crll.1981.324.165",2],[2,0.1328,0.8175,"Lower bounds for testing forbidden induced substructures in bipartite-graph-like combinatorial objects",2007,"https://doi.org/10.1007/978-3-540-74208-1_34",1],[2,0.4603,-0.456,"Remarques sur le revêtement universel des variétés kählériennes compactes",1994,"https://doi.org/10.24033/bsmf.2232",3],[2,-0.5992,-0.2399,"On the nonexistence of elements of Kervaire invariant one",2016,"https://doi.org/10.4007/annals.2016.184.1.1",3],[2,-0.3004,-0.7944,"On short time existence for the planar network flow",2019,"https://doi.org/10.4310/jdg/1547607687",1],[2,0.6666,-0.5363,"Finite Subgroups of the Plane Cremona Group",2009,"https://doi.org/10.1007/978-0-8176-4745-2_11",1],[2,0.3495,-0.6293,"Regularity of Plurisubharmonic Upper Envelopes in Big Cohomology Classes",2011,"https://doi.org/10.1007/978-0-8176-8277-4_3",1],[2,0.3072,-0.808,"Invariant Hilbert schemes",2011,"https://arxiv.org/abs/1102.0198",1],[2,-0.6945,0.4918,"Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity",2015,"https://doi.org/10.4171/ggd/317",1],[2,0.2753,0.701,"Power Sum Expansion of Chromatic Quasisymmetric Functions",2015,"https://doi.org/10.37236/4761",1],[2,-0.0398,-0.3215,"A Unified Proof of the Howe-Moore Property",2015,"https://doi.org/10.5802/jolt.828",3],[2,0.7179,0.3573,"Improved combinatorial algorithms for the facility location and k-median problems",2003,"https://doi.org/10.1109/sffcs.1999.814609",1],[2,-0.7654,-0.3894,"Cosmetic surgery in L–space homology spheres",2011,"https://doi.org/10.2140/gt.2011.15.1157",1],[2,0.442,0.7274,"Continuity and differentiability properties of monotone real functions of several real variables",1987,"https://doi.org/10.1007/bfb0121151",1],[2,0.4603,-0.6005,"Variation of Gieseker moduli spaces via quiver GIT",2016,"https://doi.org/10.2140/gt.2016.20.1539",1],[2,0.6417,0.1653,"New Generic Algorithms for Hard Knapsacks",2010,"https://doi.org/10.1007/978-3-642-13190-5_12",2],[2,0.0541,-0.6442,"Ideal membership in polynomial rings over the integers",2004,"https://doi.org/10.1090/s0894-0347-04-00451-5",2],[2,-0.1301,-0.7952,"A new proof of Savin's theorem on Allen–Cahn equations",2017,"https://doi.org/10.4171/jems/734",1],[2,-0.7357,-0.1281,"Amenable representations and finite injective von Neumann algebras",1997,"https://doi.org/10.1090/s0002-9939-97-03754-4",1],[2,-0.8316,0.2662,"Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states",2015,"https://doi.org/10.1103/physrevb.91.045138",1],[2,0.7868,-0.0161,"Lattice Tilings by Cubes: Whole, Notched and Extended",1998,"https://doi.org/10.37236/1352",1],[2,-0.0495,0.8083,"Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients",2000,"https://doi.org/10.1090/s0894-0347-00-00331-3",1],[2,-0.2599,-0.7014,"Analytic Combinatorics",2009,"https://doi.org/10.1017/cbo9780511801655",1],[2,0.492,0.6532,"Monochromatic sums and products",2016,"https://doi.org/10.19086/da.613",1],[2,0.1556,0.7964,"On Random Greedy Triangle Packing",1997,"https://doi.org/10.37236/1296",1],[2,0.0097,-0.6551,"Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.",1962,"https://doi.org/10.1515/crll.1962.211.95",2],[2,-0.1536,0.6307,"Height fluctuations in interacting dimers",2017,"https://doi.org/10.1214/15-aihp710",2],[2,-0.3914,-0.1073,"Elliptic Partial Differential Equations of Second Order",2001,"https://doi.org/10.1007/978-3-642-61798-0",19],[2,-0.8301,0.1449,"CREW PRAM s and Decision Trees",1991,"https://doi.org/10.1137/0220062",1],[2,0.6111,-0.4401,"The Sebastiani–Thom Isomorphism in the Derived Category",2001,"https://doi.org/10.1023/a:1002608716514",1],[2,0.0163,-0.6557,"On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises",2001,"https://doi.org/10.1090/s0894-0347-01-00370-8",7],[2,-0.2154,0.612,"Basic properties of the natural parametrization for the Schramm-Loewner evolution",2012,"https://arxiv.org/abs/1203.3259",2],[2,0.06,-0.7833,"Heights and Elliptic Curves",1986,"https://doi.org/10.1007/978-1-4613-8655-1_10",1],[2,0.0222,-0.39,"On the structure of spaces with Ricci curvature bounded below. I",1997,"https://doi.org/10.4310/jdg/1214459974",2],[2,-0.3103,-0.5716,"Extremum Problems with Inequalities as Subsidiary Conditions",2013,"https://doi.org/10.1007/978-3-0348-0439-4_9",2],[2,-0.8728,-0.0153,"Topological Invariants of Dynamical Systems and Spaces of Holomorphic Maps: I",1999,"https://doi.org/10.1023/a:1009841100168",1],[2,0.5605,-0.527,"A global Torelli theorem for hyperkahler manifolds",2009,"https://arxiv.org/abs/0908.4121",1],[2,0.5692,-0.432,"The Chow ring of Mbar_{0,m}(n, d)",2005,"https://arxiv.org/abs/math/0507464",1],[2,0.3543,-0.6553,"Sections des fibrés vectoriels sur une courbe",1982,"https://doi.org/10.24033/bsmf.1955",1],[2,-0.2841,-0.7232,"The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds",1996,"https://doi.org/10.1090/s0002-9947-96-01496-1",1],[2,-0.746,-0.3739,"Localisation of the Donaldson's invariants along Seiberg-Witten classes",1995,"https://arxiv.org/abs/dg-ga/9507004",1],[2,-0.6185,0.2427,"Balanced distribution-energy inequalities and related entropy bounds",2011,"https://doi.org/10.1215/00127094-1444305",2],[2,-0.3062,-0.6518,"The stable Morse number as a lower bound for the number of Reeb chords",2018,"https://doi.org/10.4310/jsg.2018.v16.n5.a2",1],[2,-0.7475,0.0828,"On scale and conformal invariance in four dimensions",2015,"https://doi.org/10.1007/jhep10(2015)171",1],[2,-0.1834,0.6198,"Crossing probabilities in topological rectangles for the critical planar FK-Ising model",2016,"https://doi.org/10.1214/16-ejp3452",3],[2,0.644,-0.0919,"Universally optimal distribution of points on spheres",2006,"https://doi.org/10.1090/s0894-0347-06-00546-7",2],[2,-0.2513,-0.6073,"Eigenfunctions with prescribed nodal sets",2015,"https://doi.org/10.4310/jdg/1442364650",2],[2,-0.4262,-0.62,"Some integral curvature estimates for the Ricci flow in four dimensions",2020,"https://doi.org/10.4310/cag.2020.v28.n3.a7",1],[2,-0.5283,0.609,"Categoricity and infinitary logics",2015,"https://arxiv.org/abs/1508.03316",1],[2,-0.1765,-0.6192,"An inverse boundary value problem for harmonic differential forms",2005,"https://doi.org/10.3233/asy-2005-660",2],[2,0.475,-0.4629,"La classe d'homologie fondamentale d'un espace analytique",1961,"https://doi.org/10.24033/bsmf.1571",2],[2,0.7995,0.1549,"Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited",2011,"https://doi.org/10.1007/978-3-642-24372-1_11",1],[2,-0.2907,-0.5999,"Topology of Blow-ups and Enumerative Geometry",2009,"https://arxiv.org/abs/0906.4152",3],[2,0.754,0.2879,"Analysis of Boolean Functions",2014,"https://doi.org/10.1017/cbo9781139814782",1],[2,-0.2031,0.6201,"From loop clusters and random interlacements to the free field",2016,"https://doi.org/10.1214/15-aop1019",4],[2,0.5574,-0.6234,"Asymptotic invariants of base loci",2006,"https://doi.org/10.5802/aif.2225",1],[2,-0.3295,0.5616,"Large time zero temperature dynamics of the spherical p = 2-spin glass model of finite size",2015,"https://doi.org/10.1088/1742-5468/2015/11/p11017",2],[2,-0.3505,-0.6638,"Summing up Dirichlet Instantons",1996,"https://doi.org/10.1103/physrevlett.77.3296",1],[2,-0.6673,0.4926,"Finite subdivision rules",2001,"https://doi.org/10.1090/s1088-4173-01-00055-8",1],[2,-0.7265,0.2419,"Improved one-dimensional area law for frustration-free systems",2012,"https://doi.org/10.1103/physrevb.85.195145",1],[2,-0.1992,0.8468,"Conformal invariance of the exploration path in 2-d critical bond percolation in the square lattice",2011,"https://doi.org/10.48550/arxiv.1112.2017",1],[2,0.6122,-0.5841,"Harmonic functions on metric measure spaces",2013,"https://arxiv.org/abs/1308.3607",1],[2,-0.4643,0.7216,"A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model",2015,"https://doi.org/10.1007/s00220-015-2480-z",1],[2,0.646,-0.1135,"Coarse Differentiation and Multi-flows in Planar Graphs",2009,"https://doi.org/10.1007/s00454-009-9172-4",2],[2,-0.8304,0.2682,"Entanglement area law from specific heat capacity",2015,"https://doi.org/10.1103/physrevb.92.115134",1],[2,0.697,-0.3068,"Uniform measures and uniform rectifiability",2015,"https://doi.org/10.1112/jlms/jdv013",1],[2,0.1868,-0.8181,"Invariant measures on G/Γ for split simple Lie groups G",2003,"https://doi.org/10.1002/cpa.10092",1],[2,0.0318,-0.7591,"Towards local-global compatibility for Hilbert modular forms of low weight",2015,"https://doi.org/10.2140/ant.2015.9.957",1],[2,-0.4852,-0.6118,"Alexandrov meets Lott--Villani--Sturm",2010,"https://arxiv.org/abs/1003.5948",1],[2,-0.1755,0.6388,"A Note on Reflection Positivity and the Umezawa-Kamefuchi-Kallen-Lehmann Representation of Two Point Correlation Functions",2012,"https://arxiv.org/abs/1201.3415",3],[2,0.2326,-0.6817,"Anabelian Intersection Theory I: The Conjecture of Bogomolov-Pop and Applications",2012,"https://arxiv.org/abs/1211.4608",1],[2,0.3042,0.7687,"Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties",2018,"https://doi.org/10.1016/j.aim.2018.02.020",1],[2,0.5894,-0.5619,"Large Radius Limit and SYZ Fibrations of Hyper-Kahler Manifolds",2003,"https://arxiv.org/abs/math/0308210",1],[2,0.8007,0.2153,"A Logarithmic Additive Integrality Gap for Bin Packing",2017,"https://doi.org/10.1137/1.9781611974782.172",1],[2,0.5489,-0.5515,"Cohomology of large semiprojective hyperkaehler varieties",2013,"https://arxiv.org/abs/1309.4914",1],[2,0.2952,-0.7859,"Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta",2015,"https://doi.org/10.1186/s40687-014-0019-0",1],[2,0.4955,0.6536,"Yet Another Proof Of Szemerédi's Theorem",2010,"https://doi.org/10.1007/978-3-642-14444-8_8",1],[2,0.5266,-0.4002,"Virasoro Constraints for Toric Bundles",2024,"https://doi.org/10.1017/fmp.2024.2",2],[2,-0.62,0.2119,"Resonance expansions for tensor-valued waves on asymptotically Kerr–de Sitter spaces",2017,"https://doi.org/10.4171/jst/171",3],[2,-0.3299,0.5698,"Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model",2016,"https://doi.org/10.1007/s10955-016-1610-0",2],[2,0.2693,0.5818,"Disorder, entropy and harmonic functions",2015,"https://doi.org/10.1214/14-aop934",2],[2,0.6864,0.1969,"Permanent v. determinant: An exponential lower bound assuming symmetry and a potential path towards Valiant's conjecture",2017,"https://doi.org/10.1016/j.difgeo.2017.03.017",1],[2,-0.8025,0.2493,"Passive States Optimize the Output of Bosonic Gaussian Quantum Channels",2016,"https://doi.org/10.1109/tit.2016.2547426",1],[2,-0.3027,0.7452,"Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions",2015,"https://doi.org/10.1007/s00440-015-0670-4",1],[2,0.4262,0.6398,"A 64-Dimensional Counterexample to Borsuk's Conjecture",2014,"https://doi.org/10.37236/4069",1],[2,-0.1585,-0.6414,"The many-to-few lemma and multiple spines",2017,"https://doi.org/10.1214/15-aihp714",2],[2,0.6823,0.3813,"Sensitivity versus block sensitivity of Boolean functions",2011,"https://doi.org/10.1016/j.ipl.2011.02.001",1],[2,0.7758,-0.2955,"Covering the Large Spectrum and Generalized Riesz Products",2017,"https://doi.org/10.1137/15m1048604",1],[2,-0.2546,0.5998,"Quenched Voronoi percolation",2015,"https://doi.org/10.1016/j.aim.2015.09.005",2],[2,0.0153,-0.6447,"Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.",1965,"https://doi.org/10.1515/crll.1965.217.180",4],[2,-0.7828,-0.0182,"Expanders, exact crossed products, and the Baum–Connes conjecture",2015,"https://doi.org/10.2140/akt.2016.1.155",1],[2,0.1499,0.153,"Second-order matrix concentration inequalities",2016,"https://doi.org/10.1016/j.acha.2016.07.005",4],[2,0.3002,-0.7625,"Introduction to chtoucas for reductive groups and to the global Langlands parameterization",2014,"https://arxiv.org/abs/1404.6416",1],[2,-0.4018,0.7069,"Unbiased Estimation with Square Root Convergence for SDE Models",2015,"https://doi.org/10.1287/opre.2015.1404",1],[2,0.8527,-0.1812,"Metric and isoperimetric problems in symplectic geometry",2000,"https://doi.org/10.1090/s0894-0347-00-00328-3",1],[2,-0.2992,-0.7404,"The affine Plateau problem",2005,"https://doi.org/10.1090/s0894-0347-05-00475-3",1],[2,-0.2904,0.6522,"Critical percolation on mesoscopic triangulations",2013,"https://arxiv.org/abs/1312.7159",1],[2,0.4002,0.6984,"Disproof of the List Hadwiger Conjecture",2011,"https://doi.org/10.37236/719",1],[2,0.382,-0.5266,"Families of rationally connected varieties",2002,"https://doi.org/10.1090/s0894-0347-02-00402-2",5],[2,-0.0611,0.8538,"Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras",1998,"https://doi.org/10.1090/s0894-0347-98-00268-9",1],[2,-0.2379,0.5978,"Liouville Quantum Gravity on the Riemann Sphere",2016,"https://doi.org/10.1007/s00220-016-2572-4",2],[2,0.5272,-0.6014,"Viehweg’s hyperbolicity conjecture for families with maximal variation",2016,"https://doi.org/10.1007/s00222-016-0698-9",1],[2,-0.0805,0.8287,"A Combinatorial Proof of a Plethystic Murnaghan--Nakayama Rule",2016,"https://doi.org/10.1137/14098260x",1],[2,0.1933,0.7873,"Long cycles in subgraphs of (pseudo)random directed graphs",2011,"https://doi.org/10.1002/jgt.20616",1],[2,0.6846,-0.5311,"Shift operators and toric mirror theorem",2017,"https://doi.org/10.2140/gt.2017.21.315",1],[2,-0.0435,0.7592,"Deformation classes of graded modules and maximal Betti numbers",1996,"https://doi.org/10.1215/ijm/1255985937",1],[2,0.0098,-0.7695,"Virtual Abelian varieties of $\\mathrm{GL}_2$-type",2020,"https://doi.org/10.4310/mrl.2020.v27.n3.a14",1],[2,0.4473,-0.4974,"Variétés Kähleriennes dont la première classe de Chern est nulle",1983,"https://doi.org/10.4310/jdg/1214438181",2],[2,0.2894,0.5932,"On Ryser’s conjecture for linear intersecting multipartite hypergraphs",2016,"https://doi.org/10.1016/j.ejc.2016.10.004",2],[2,-0.1879,0.6372,"The nested simple conformal loop ensembles in the Riemann sphere",2015,"https://doi.org/10.1007/s00440-015-0647-3",3],[2,-0.3267,0.5648,"High Temperature Asymptotics of Orthogonal Mean-Field Spin Glasses",2015,"https://doi.org/10.1007/s10955-015-1406-7",2],[2,0.0608,-0.8574,"On torsion in the cohomology of locally symmetric varieties",2015,"https://doi.org/10.4007/annals.2015.182.3.3",1],[2,0.1024,0.7061,"Open Problems in Analysis of Boolean Functions",2012,"https://arxiv.org/abs/1204.6447",1],[2,0.4253,-0.5101,"Foliations with positive slopes and birational stability of orbifold cotangent bundles",2019,"https://doi.org/10.1007/s10240-019-00105-w",8],[2,-0.2801,0.8287,"Loop symmetric functions and factorizing matrix polynomials",2010,"https://arxiv.org/abs/1012.1262",1],[2,0.4797,0.6704,"Improved algorithms for colorings of simple hypergraphs and applications",2015,"https://doi.org/10.1016/j.jctb.2015.09.004",1],[2,-0.8344,0.0358,"Tensor products and regularity properties of Cuntz semigroups",2017,"https://doi.org/10.1090/memo/1199",1],[2,-0.0623,0.6988,"The ring of multisymmetric functions",2005,"https://doi.org/10.5802/aif.2111",1],[2,0.2602,-0.657,"Compatibility of local and global Langlands correspondences",2006,"https://doi.org/10.1090/s0894-0347-06-00542-x",1],[2,0.6273,0.4157,"Appell polynomials and their relatives",2004,"https://doi.org/10.1155/s107379280413345x",1],[2,0.0204,-0.4018,"Regularity of Einstein manifolds and the codimension 4 conjecture",2015,"https://doi.org/10.4007/annals.2015.182.3.5",2],[2,-0.2812,-0.596,"Lectures on the H-Cobordism Theorem",1965,"https://doi.org/10.1515/9781400878055",5],[2,0.4526,0.4665,"Universal characteristic factors and Furstenberg averages",2006,"https://doi.org/10.1090/s0894-0347-06-00532-7",5],[2,0.6674,-0.2666,"Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities",2006,"https://doi.org/10.1090/s0002-9947-06-04347-9",1],[2,-0.0622,-0.3666,"Proximité et dualité dans un espace hilbertien",1965,"https://doi.org/10.24033/bsmf.1625",4],[2,0.6256,0.4148,"Nonasymptotic convergence analysis for the unadjusted Langevin algorithm",2017,"https://doi.org/10.1214/16-aap1238",1],[2,0.5965,-0.6189,"On 3-dimensional terminal singularities",1985,"https://doi.org/10.1017/s0027763000021358",1],[2,0.3189,-0.7698,"Kennzeichnung der endlich-algebraischen Zahlkörper durch die Galoisgruppe der maximal auflösbaren Erweiterungen.",1969,"https://doi.org/10.1515/crll.1969.238.135",1],[2,0.8412,-0.0641,"The lower tail: Poisson approximation revisited",2015,"https://doi.org/10.1002/rsa.20590",1],[2,-0.7779,-0.3523,"A Darboux theorem for derived schemes with shifted symplectic structure",2018,"https://doi.org/10.1090/jams/910",1],[2,0.3364,-0.5641,"A generalization of Kodaira-Ramanujam's vanishing theorem",1982,"https://doi.org/10.1007/bf01456407",2],[2,-0.1434,-0.2218,"Algebraic and Abstract Simple Groups",1964,"https://doi.org/10.2307/1970394",2],[2,-0.6819,0.4833,"ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION",2006,"https://doi.org/10.1142/s0218196706002901",1],[2,0.5583,-0.6658,"Kählerian Coset Spaces of Semisimple Lie Groups",1954,"https://doi.org/10.1073/pnas.40.12.1147",1],[2,-0.6256,0.1792,"Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations",1983,"https://doi.org/10.1103/physrevlett.50.1395",2],[2,-0.1648,-0.7571,"Equilibrium time correlation functions in the low-density limit",1980,"https://doi.org/10.1007/bf01008050",1],[2,-0.6053,0.2306,"Bound on the ionization energy of large atoms",1990,"https://doi.org/10.1007/bf02161416",3],[2,-0.3572,-0.7519,"The presentation rank of a direct product of finite groups",1974,"https://doi.org/10.1016/0021-8693(74)90062-3",1],[2,-0.4294,-0.4954,"Second Order Rectifiability of Integral Varifolds of Locally Bounded First Variation",2011,"https://doi.org/10.1007/s12220-011-9261-5",2],[2,-0.8436,-0.0998,"Von Neumann algebras with a single generator.",1969,"https://doi.org/10.1307/mmj/1029000161",1],[2,0.8117,0.2181,"Friendly bin packing instances without Integer Round-up Property",2014,"https://doi.org/10.1007/s10107-014-0791-z",1],[2,0.7004,0.2782,"Perfect matching for regular graphs is AC0-hard for the general matching problem",1992,"https://doi.org/10.1016/0022-0000(92)90005-4",1],[2,0.2155,-0.8357,"Exponential sums with multiplicative coefficients",1977,"https://doi.org/10.1007/bf01390204",1],[2,-0.3328,-0.688,"On the Variety of Manifolds without Conjugate Points",1975,"https://doi.org/10.1090/s0002-9947-1975-0383294-0",1],[2,-0.7788,-0.3837,"Vanishing theorems and conjectures for theℓ2–homology of right-angled Coxeter groups",2001,"https://doi.org/10.2140/gt.2001.5.7",1],[2,-0.4514,0.6975,"The structure of approximate groups",2012,"https://doi.org/10.1007/s10240-012-0043-9",1],[2,0.8216,0.2381,"A fast and simple randomized parallel algorithm for the maximal independent set problem",1986,"https://doi.org/10.1016/0196-6774(86)90019-2",1],[2,-0.536,0.3729,"Artin-Gruppen und Coxeter-Gruppen",1972,"https://doi.org/10.1007/bf01406235",2],[2,0.595,0.5236,"Cocycles and spectra",1978,"https://doi.org/10.1007/bf02385994",1],[2,0.4725,-0.6743,"Hodge's general conjecture is false for trivial reasons",1969,"https://doi.org/10.1016/0040-9383(69)90016-0",1],[2,0.3122,-0.5749,"The mixed Hodge–Riemann bilinear relations for compact Kähler manifolds",2006,"https://doi.org/10.1007/s00039-006-0572-9",2],[2,-0.5884,-0.4071,"A Banach space without a basis which has the bounded approximation property",1987,"https://doi.org/10.1007/bf02392555",1],[2,0.5402,-0.5095,"MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations",2014,"https://doi.org/10.1007/s00222-014-0501-8",1],[2,-0.7248,0.2366,"Area law for the entropy of low-energy states",2009,"https://doi.org/10.1103/physreva.80.052104",1],[2,0.4583,-0.5579,"Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann",1957,"https://doi.org/10.2307/2372388",1],[2,-0.477,-0.6566,"Area minimizing sets subject to a volume constraint in a convex set",1997,"https://doi.org/10.1007/bf02921639",1],[2,-0.779,-0.3896,"ApproximatingL 2-invariants by their finite-dimensional analogues",1994,"https://doi.org/10.1007/bf01896404",1],[2,0.264,0.5825,"A note on the independence number of triangle-free graphs",1983,"https://doi.org/10.1016/0012-365x(83)90273-x",4],[2,-0.0807,0.7695,"Higman´s criterion revisited",2009,"https://doi.org/10.1307/mmj/1242071686",1],[2,-0.1426,0.8536,"On the maximal subgroups of the finite classical groups",1984,"https://doi.org/10.1007/bf01388470",1],[2,0.5418,-0.368,"Compact manifolds in hyperbolicity",1978,"https://doi.org/10.1090/s0002-9947-1978-0470252-3",2],[2,0.6874,-0.3811,"Oscillatory integrals and multipliers on FLp",1973,"https://doi.org/10.1007/bf02388505",1],[2,-0.8213,0.27,"Computational Complexity of Projected Entangled Pair States",2007,"https://doi.org/10.1103/physrevlett.98.140506",1],[2,-0.1985,0.6265,"Sine-Gordon Revisited",2000,"https://doi.org/10.1007/s000230050005",2],[2,-0.0557,0.6387,"Concomitants of the Quintic and Sextic Up To Degree Four in the Coefficients of the Ground Form",1950,"https://doi.org/10.1112/jlms/s1-25.3.205",2],[2,-0.7935,-0.0193,"Groups with graphical C(6) and C(7) small cancellation presentations",2012,"https://arxiv.org/abs/1210.0178",1],[2,0.1755,-0.7674,"Computational Results for Gaussian Moat Problem",2005,"https://doi.org/10.1093/ietfec/e88-a.5.1267",1],[2,0.6301,-0.2113,"Boundedness of the twisted paraproduct",2012,"https://doi.org/10.4171/rmi/707",3],[2,-0.8232,0.096,"Constraints on RG flow for four dimensional quantum field theories",2014,"https://doi.org/10.1016/j.nuclphysb.2014.03.018",1],[2,0.4132,-0.5117,"Resolution of singularities of threefolds in positive characteristic II",2009,"https://doi.org/10.1016/j.jalgebra.2008.11.030",2],[2,-0.7323,-0.4322,"Finiteness Conditions for CW-Complexes",1965,"https://doi.org/10.2307/1970382",1],[2,0.8255,-0.1676,"Characterizations of Extremals for some Functionals on Convex Bodies",2010,"https://doi.org/10.4153/cjm-2010-062-2",1],[2,0.3202,0.7516,"Reduction of symmetric semidefinite programs using the regular $$\\ast$$ -representation",2006,"https://doi.org/10.1007/s10107-006-0039-7",1],[2,-0.3022,-0.738,"Ellipsoids of maximal volume in convex bodies",1992,"https://doi.org/10.1007/bf00182424",1],[2,0.1235,0.7121,"Efficient Testing of Bipartite Graphs for Forbidden Induced Subgraphs",2007,"https://doi.org/10.1137/050627915",1],[2,0.4119,-0.5777,"La conjecture de Weil pour les surfacesK3",1971,"https://doi.org/10.1007/bf01404126",1],[2,-0.8064,0.1951,"Entanglement as a Precondition for Secure Quantum Key Distribution",2004,"https://doi.org/10.1103/physrevlett.92.217903",1],[2,0.5829,-0.2925,"The discretized sum-product and projection theorems",2010,"https://doi.org/10.1007/s11854-010-0028-x",3],[2,-0.4242,-0.6617,"ON THE CONNECTIVITY OF SPACES OF POSITIVE CURVATURE",1936,"https://doi.org/10.1093/qmath/os-7.1.316",1],[2,0.5789,-0.5404,"Convexity properties of coverings of smooth projective varieties",1990,"https://doi.org/10.1007/bf01453583",1],[2,0.4167,0.6463,"Incidences of not-too-degenerate hyperplanes",2005,"https://doi.org/10.1145/1064092.1064098",1],[2,-0.0954,0.2353,"On Information and Sufficiency",1951,"https://doi.org/10.1214/aoms/1177729694",4],[2,0.7142,0.0715,"Reductions between Expansion Problems",2012,"https://doi.org/10.1109/ccc.2012.43",1],[2,0.5542,-0.5801,"Genus 3 mapping class groups are not Kähler",2014,"https://doi.org/10.1112/jtopol/jtu020",1],[2,-0.6686,0.4268,"A measurable-group-theoretic solution to von Neumann’s problem",2009,"https://doi.org/10.1007/s00222-009-0187-5",1],[2,-0.5972,0.2434,"Ground-State Energy of a Hard-Sphere Gas",1957,"https://doi.org/10.1103/physrev.106.20",5],[2,0.2676,-0.6569,"Classification of Quadratic Forms over Skew Fields of Characteristic 2",2001,"https://doi.org/10.1006/jabr.2001.8737",1],[2,0.4794,-0.6669,"New moduli spaces of pointed curves and pencils of flat connections.",2000,"https://doi.org/10.1307/mmj/1030132728",1],[2,0.6693,0.4113,"Permutation Groups, Complexes, and Rearrangeable Connecting Networks",1964,"https://doi.org/10.1002/j.1538-7305.1964.tb04102.x",1],[2,-0.243,0.7165,"The Mix-and-Cut Shuffle: Small-Domain Encryption Secure against N Queries",2013,"https://doi.org/10.1007/978-3-642-40041-4_22",1],[2,0.2541,-0.6557,"Line bundles on the cotangent bundle of the flag variety",1993,"https://doi.org/10.1007/bf01244299",1],[2,-0.3271,-0.701,"Generation gaps and abelianized defects of free products",2008,"https://doi.org/10.1515/jgt.2008.036",1],[2,-0.6348,-0.5687,"Der Wertvorrat einer Bilinearform",1919,"https://doi.org/10.1007/bf01292610",1],[2,-0.7459,0.2182,"On properties of Karlsson Hadamards and sets of mutually unbiased bases in dimension six",2014,"https://doi.org/10.1016/j.laa.2014.10.017",1],[2,-0.1659,-0.7228,"Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum",1987,"https://doi.org/10.1007/bf01221398",1],[2,0.7759,0.1465,"The complexity of stochastic games",1992,"https://doi.org/10.1016/0890-5401(92)90048-k",1],[2,0.2741,-0.7325,"Finite descent obstructions and rational points on curves",2007,"https://doi.org/10.2140/ant.2007.1.349",1],[2,-0.6276,0.4595,"Homology stability for linear groups",1980,"https://doi.org/10.1007/bf01390018",1],[2,0.0574,-0.7772,"Equirépartition des petits points",1997,"https://doi.org/10.1007/s002220050123",1],[2,-0.651,0.2826,"Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus",1983,"https://doi.org/10.1016/0550-3213(83)90436-4",1],[2,-0.8536,-0.1046,"Derivations of Operator Algebras",1966,"https://doi.org/10.2307/1970433",1],[2,-0.1014,0.7455,"Genus Change in Inseparable Extensions of Function Fields",1952,"https://doi.org/10.1090/s0002-9939-1952-0047631-9",1],[2,-0.6762,-0.2275,"A New Algebraic Approach to Microlocalization of Filtered Rings",1989,"https://doi.org/10.1090/s0002-9947-1989-0958890-x",1],[2,-0.5878,-0.2642,"Coarse cohomology and index theory on complete Riemannian manifolds",1993,"https://doi.org/10.1090/memo/0497",2],[2,0.0134,0.8014,"On tilting modules for algebraic groups",1993,"https://doi.org/10.1007/bf02571640",1],[2,-0.6593,0.4674,"Cohomology Theory of Groups with a Single Defining Relation",1950,"https://doi.org/10.2307/1969440",1],[2,-0.1844,0.6397,"Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions",1980,"https://doi.org/10.1007/bf01014646",3],[2,0.4914,0.6635,"Topological multiple recurrence for polynomial configurations in nilpotent groups",2003,"https://doi.org/10.1016/s0001-8708(02)00052-x",1],[2,0.405,-0.5159,"Weak toroidalization over non-closed fields",2013,"https://doi.org/10.1007/s00229-013-0610-5",6],[2,-0.4678,-0.6313,"The local isometric embedding in R3 of two‐dimensional riemannian manifolds with gaussian curvature changing sign cleanly",1986,"https://doi.org/10.1002/cpa.3160390607",1],[2,-0.2648,-0.4848,"THE TRIANGULATION OF 3-MANIFOLDS",1976,"https://doi.org/10.1093/qmath/27.1.63",3],[2,-0.5812,0.6131,"An Extension of Fixpoint Logic with a Symmetry-Based Choice Construct",1998,"https://doi.org/10.1006/inco.1998.2712",1],[2,0.4335,0.6129,"On a Problem of Heilbronn",1951,"https://doi.org/10.1112/jlms/s1-26.3.198",1],[2,0.0372,-0.8345,"Modular forms and p -adic Hodge theory",1997,"https://doi.org/10.1007/s002220050175",1],[2,0.7192,-0.2584,"On a conjecture of E. M. Stein on the Hilbert transform on vector fields",2010,"https://doi.org/10.1090/s0065-9266-10-00572-7",1],[2,-0.1581,-0.8331,"Semidefinite programming relaxations for semialgebraic problems",2003,"https://doi.org/10.1007/s10107-003-0387-5",1],[2,0.1333,-0.6374,"The Brun–Hooley Sieve",2000,"https://doi.org/10.1006/jnth.1999.2479",2],[2,-0.6439,0.471,"On two-dimensional quasiconformal groups",1980,"https://doi.org/10.5186/aasfm.1980.0530",1],[2,0.6322,0.0398,"Global Optimization with Polynomials and the Problem of Moments",2001,"https://doi.org/10.1137/s1052623400366802",3],[2,-0.0344,0.8109,"The Lex-Plus-Powers Conjecture holds for pure powers",2010,"https://doi.org/10.1016/j.aim.2010.08.022",1],[2,-0.6312,0.4474,"Separable subsets of GFERF negatively curved groups",2006,"https://doi.org/10.1016/j.jalgebra.2006.03.050",1],[2,-0.4541,0.659,"A law of large numbers for random walks in random mixing environments",2004,"https://doi.org/10.1214/aop/1079021467",1],[2,0.6461,-0.0614,"A Note on Covering by Convex Bodies",2009,"https://doi.org/10.4153/cmb-2009-039-x",2],[2,0.168,-0.7386,"Counting primitive points of bounded height",2010,"https://doi.org/10.1090/s0002-9947-10-05173-1",1],[2,0.2726,-0.3978,"The Index of Elliptic Operators: III",1968,"https://doi.org/10.2307/1970717",7],[2,-0.5072,0.4001,"Subgroups of finitely presented groups",1961,"https://doi.org/10.1098/rspa.1961.0132",3],[2,-0.4638,-0.6484,"Regularity of isoperimetric hypersurfaces in Riemannian manifolds",2003,"https://doi.org/10.1090/s0002-9947-03-03061-7",1],[2,-0.5906,0.3788,"Nonunitarizable Representations and Random Forests",2009,"https://doi.org/10.1093/imrn/rnp090",1],[2,0.2679,-0.5074,"Small schemes and varieties of minimal degree",2006,"https://doi.org/10.1353/ajm.2006.0043",2],[2,0.5437,0.4642,"Sets of Uniqueness and Sets of Multiplicity",1943,"https://doi.org/10.1090/s0002-9947-1943-0008428-8",1],[2,-0.3232,0.7631,"A note on percolation",1978,"https://doi.org/10.1007/bf00535274",1],[2,-0.7593,0.0883,"The CPT-theorem in two-dimensional theories of local observables",1992,"https://doi.org/10.1007/bf02099011",1],[2,0.0207,-0.8361,"On the Equations zm = F (x, y ) and Axp + Byq = Czr",1995,"https://doi.org/10.1112/blms/27.6.513",1],[2,0.264,-0.704,"On the ‘Section Conjecture’ in anabelian geometry",2005,"https://doi.org/10.1515/crll.2005.2005.588.221",1],[2,-0.7441,-0.3128,"The Hilbert–Smith conjecture for three-manifolds",2013,"https://doi.org/10.1090/s0894-0347-2013-00766-3",1],[2,0.1102,-0.7381,"Neuer Beweis des Primzahlsatzes und Beweis des Primidealsatzes",1903,"https://doi.org/10.1007/bf01444310",1],[2,0.5835,-0.3092,"A radial multiplier and a related Kakeya maximal function",1975,"https://doi.org/10.1090/s0002-9904-1975-13774-8",2],[2,-0.3439,0.7418,"Correlation functions of twist operators applied to single self-avoiding loops",2006,"https://doi.org/10.1088/0305-4470/39/41/s12",1],[2,-0.2552,0.7149,"Uniform spanning forests",2001,"https://doi.org/10.1214/aop/1008956321",1],[2,-0.2386,0.6014,"Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model",2011,"https://doi.org/10.1002/cpa.20370",5],[2,-0.3485,0.5621,"Reduction theory using semistability",1984,"https://doi.org/10.1007/bf02566369",2],[2,-0.7727,0.0962,"All unitary ray representations of the conformal group SU(2,2) with positive energy",1977,"https://doi.org/10.1007/bf01613145",1],[2,-0.2025,-0.255,"A probabilistic remark on algebraic program testing",1978,"https://doi.org/10.1016/0020-0190(78)90067-4",2],[2,-0.7594,0.2938,"Asymptotic neutrality of large ions",1990,"https://doi.org/10.1007/bf02097048",1],[2,-0.6061,0.2111,"Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations",2000,"https://doi.org/10.1007/pl00005533",2],[2,-0.7474,-0.0914,"Generator problem for certain property T factors",2002,"https://doi.org/10.1073/pnas.022593699",1],[2,-0.7218,-0.1183,"On Kirchberg's embedding problem",2015,"https://doi.org/10.1016/j.jfa.2015.02.016",1],[2,0.0304,-0.757,"Minimal Identities for Algebras",1950,"https://doi.org/10.1090/s0002-9939-1950-0036751-9",1],[2,-0.6077,0.2176,"The mass of asymptotically hyperbolic Riemannian manifolds",2003,"https://doi.org/10.2140/pjm.2003.212.231",4],[2,-0.7383,-0.1306,"SimpleC*-algebra generated by isometries",1977,"https://doi.org/10.1007/bf01625776",1],[2,-0.681,0.2393,"Continuation unique à partir de l'infini conforme pour les métriques d'Einstein",2008,"https://doi.org/10.4310/mrl.2008.v15.n6.a2",1],[2,0.8241,-0.2907,"Sharpness in Young’s inequality for convolution",1977,"https://doi.org/10.2140/pjm.1977.72.383",1],[2,0.2522,-0.7061,"On the measure of irrationality of the number π",2010,"https://doi.org/10.1134/s0001434610090294",1],[2,0.6097,-0.0109,"Low distortion embeddings for edit distance",2007,"https://doi.org/10.1145/1284320.1284322",4],[2,-0.7151,0.3396,"Distributional limits for the symmetric exclusion process",2008,"https://doi.org/10.1016/j.spa.2008.01.010",1],[2,-0.4638,-0.6623,"Volume-preserving automorphisms of C⊃n⊃",1990,"https://doi.org/10.1080/17476939008814422",1],[2,0.8062,-0.0965,"Santaló's inequality on ℂ n by complex interpolation",2002,"https://doi.org/10.1016/s1631-073x(02)02328-2",1],[2,0.3676,-0.5421,"The stable equivalence and cancellation problems",2004,"https://doi.org/10.1007/s00014-003-0796-3",2],[2,-0.0964,-0.4127,"Ricci curvature for metric-measure spaces via optimal transport",2009,"https://doi.org/10.4007/annals.2009.169.903",3],[2,-0.1937,-0.7315,"Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System",2003,"https://doi.org/10.1007/s00205-003-0265-6",1],[2,0.5824,-0.2768,"On pointwise convergence of the solutions to Schrodinger equations in R2",2006,"https://doi.org/10.1155/imrn/2006/32597",2],[2,0.4349,-0.4959,"Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I",1964,"https://doi.org/10.2307/1970486",3],[2,-0.7391,0.2276,"Series and parallel addition of matrices",1969,"https://doi.org/10.1016/0022-247x(69)90200-5",1],[2,0.7491,0.0783,"The complexity of finding uniform sparsest cuts in various graph classes",2011,"https://doi.org/10.1016/j.jda.2011.12.008",1],[2,-0.4163,0.7675,"Role of the interaction matrix in mean-field spin glass models",2003,"https://doi.org/10.1103/physreve.67.046112",1],[2,0.3886,-0.4989,"Fundamental Theorems for the Log Minimal Model Program",2011,"https://doi.org/10.2977/prims/50",9],[2,-0.0012,0.6409,"On motivic cohomology with Z/l-coefficients",2011,"https://doi.org/10.4007/annals.2011.174.1.11",2],[2,-0.576,0.4216,"A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS",1992,"https://doi.org/10.1070/sm1992v072n02abeh001272",1],[2,-0.3137,0.556,"On the Dovbysh-Sudakov representation result",2010,"https://doi.org/10.1214/ecp.v15-1562",5],[2,-0.7035,0.2216,"Solving gapped Hamiltonians locally",2006,"https://doi.org/10.1103/physrevb.73.085115",1],[2,-0.0359,0.8337,"Ideals containing the squares of the variables",2008,"https://doi.org/10.1016/j.aim.2007.11.014",1],[2,0.7648,-0.1082,"On the subspaces ofL p (p>2) spanned by sequences of independent random variables",1970,"https://doi.org/10.1007/bf02771562",1],[2,-0.1976,0.6114,"Collective Monte Carlo Updating for Spin Systems",1989,"https://doi.org/10.1103/physrevlett.62.361",2],[2,-0.0493,-0.7548,"Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient",1993,"https://doi.org/10.1007/bf00386368",1],[2,-0.5725,0.4931,"Finitely presented simple groups and products of trees",1997,"https://doi.org/10.1016/s0764-4442(97)86938-8",1],[2,0.6025,-0.5162,"On the Seifert form at infinity associated with polynomial maps",1999,"https://doi.org/10.2969/jmsj/05110063",1],[2,-0.697,0.1578,"Qubit channels that achieve capacity with two states",2005,"https://doi.org/10.1103/physreva.71.032334",1],[2,0.0071,0.2543,"On the degree of boolean functions as real polynomials",1994,"https://doi.org/10.1007/bf01263419",3],[2,0.407,0.7099,"Highly linked graphs",1996,"https://doi.org/10.1007/bf01261316",1],[2,0.6345,0.5264,"Bernoulli convolutions associated with certain non-Pisot numbers",2003,"https://doi.org/10.1016/j.aim.2003.05.002",1],[2,-0.3694,0.7283,"Mick gets some (the odds are on his side) (satisfiability)",1992,"https://doi.org/10.1109/sfcs.1992.267789",1],[2,-0.6401,0.4423,"Normal subgroups in duality groups and in groups of cohomological dimension 2",1976,"https://doi.org/10.1016/0022-4049(76)90065-7",1],[2,0.6993,-0.1512,"Une Caracterisation Volumique de Certains Espaces Normes de Dimension Finie",1986,"https://doi.org/10.1007/bf02765029",1],[2,0.6367,-0.0115,"The String-to-String Correction Problem",1974,"https://doi.org/10.1145/321796.321811",4],[2,0.6694,0.4118,"Highly resilient correctors for polynomials",1992,"https://doi.org/10.1016/0020-0190(92)90195-2",1],[2,0.747,-0.0618,"Covering space with equal spheres",1959,"https://doi.org/10.1112/s0025579300002059",1],[2,0.7291,-0.1294,"On fractional multicommodity flows and distance functions",1988,"https://doi.org/10.1016/0012-365x(88)90137-9",1],[2,0.6267,-0.4225,"Rationally Connected Varieties Over Local Fields",1999,"https://doi.org/10.2307/121107",1],[2,-0.7113,-0.2253,"Module categories for group algebras over commutative rings",2013,"https://doi.org/10.1017/is013001031jkt214",1],[2,-0.4861,-0.7066,"On the parabolic kernel of the Schrödinger operator",1986,"https://doi.org/10.1007/bf02399203",1],[2,0.3706,0.0515,"A Parallel Repetition Theorem",1998,"https://doi.org/10.1137/s0097539795280895",7],[2,0.3922,0.5212,"Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions",1977,"https://doi.org/10.1007/bf02813304",9],[2,-0.587,0.4189,"A non-quasiconvexity embedding theorem for hyperbolic groups",1999,"https://doi.org/10.1017/s0305004199003862",1],[2,-0.4192,0.7135,"Distribution of timescales in the Sherrington–Kirkpatrick model",2010,"https://doi.org/10.1088/1742-5468/2010/11/p11034",1],[2,-0.3649,-0.7802,"A symplectic fixed point theorem for ?? n",1985,"https://doi.org/10.1007/bf01388770",1],[2,0.0051,0.7798,"On the K-theory of local fields",1984,"https://doi.org/10.1016/0022-4049(84)90043-4",1],[2,-0.253,0.8021,"Logarithmic corrections in the two-dimensional XY model",1997,"https://doi.org/10.1103/physrevb.55.3580",1],[2,0.798,-0.0612,"Positive semidefinite biquadratic forms",1975,"https://doi.org/10.1016/0024-3795(75)90058-0",1],[2,-0.3797,-0.5179,"Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística",2002,"https://arxiv.org/abs/math/0211159",3],[2,0.6114,-0.1848,"Infinite Patterns that can be Avoided by Measure",1997,"https://doi.org/10.1112/s0024609397003056",2],[2,-0.694,0.3038,"Bound states at threshold in supersymmetric quantum mechanics",1998,"https://doi.org/10.1016/s0550-3213(97)00804-3",1],[2,-0.0866,0.8344,"Hochschild cohomology, the characteristic morphism and derived deformations",2008,"https://doi.org/10.1112/s0010437x08003655",1],[2,-0.5403,0.3713,"Braid groups and Kleinian singularities",2010,"https://doi.org/10.1007/s00208-010-0627-y",2],[2,-0.1328,-0.6326,"Hopf Differentials and Smoothing Sobolev Homeomorphisms",2011,"https://doi.org/10.1093/imrn/rnr144",2],[2,-0.3363,0.7129,"Algebraic aspects of increasing subsequences",2001,"https://doi.org/10.1215/s0012-7094-01-10911-3",1],[2,0.6388,0.0801,"Sampling contingency tables",1997,"https://doi.org/10.1002/(sici)1098-2418(199707)10:4<487::aid-rsa4>3.0.co;2-q",3],[2,0.5355,-0.6539,"Extendability of holomorphic differential forms near isolated hypersurface singularities",1985,"https://doi.org/10.1007/bf02941491",1],[2,-0.201,-0.8052,"On the boundedness of the momentum support of solutions to the relativistic Vlasov-Maxwell system",2005,"https://doi.org/10.1512/iumj.2005.54.2596",1],[2,-0.2664,0.6677,"Gaussian multiplicative chaos revisited",2010,"https://doi.org/10.1214/09-aop490",1],[2,-0.2228,0.7168,"Correlation inequalities for multicomponent rotators",1976,"https://doi.org/10.1007/bf01608730",1],[2,-0.7575,0.2816,"Best constants in Lieb-Thirring inequalities: a numerical investigation",2014,"https://doi.org/10.4171/jst/65",1],[2,-0.4131,-0.588,"Holomorphic Maps from C n to C n",1988,"https://doi.org/10.2307/2001110",1],[2,-0.4249,-0.6166,"SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS",2006,"https://doi.org/10.1112/s0024609306018947",1],[2,-0.7548,-0.3859,"A few remarks about symplectic filling",2004,"https://doi.org/10.2140/gt.2004.8.277",1],[2,-0.6269,-0.4367,"The Approximation Property Does Not Imply the Bounded Approximation Property",1973,"https://doi.org/10.1090/s0002-9939-1973-0341032-5",1],[2,-0.476,0.4139,"Bounds on the density of states in disordered systems",1981,"https://doi.org/10.1007/bf01292646",2],[2,0.1368,-0.7418,"On divisors of sums of integers. III",1988,"https://doi.org/10.2140/pjm.1988.133.363",1],[2,-0.3287,0.5472,"The variation of the spectrum of a normal matrix",1953,"https://doi.org/10.1215/s0012-7094-53-02004-3",2],[2,0.6398,0.1267,"Positional strategies for mean payoff games",1979,"https://doi.org/10.1007/bf01768705",2],[2,0.3057,0.6641,"New Lower Bounds for the Independence Number of Sparse Graphs and Hypergraphs",2012,"https://doi.org/10.1137/110839023",1],[2,-0.7816,-0.0374,"Positive functions on 𝐶*-algebras",1955,"https://doi.org/10.1090/s0002-9939-1955-0069403-4",1],[2,-0.2703,-0.6609,"The Calabi Conjecture on Affine Maximal Surfaces",2001,"https://doi.org/10.1007/bf03322711",1],[2,0.7418,0.4051,"Finite automata and unary languages",1986,"https://doi.org/10.1016/0304-3975(86)90142-8",1],[2,0.0181,-0.6678,"POINTS OF FINITE ORDER ON AN ABELIAN VARIETY",1981,"https://doi.org/10.1070/im1981v017n01abeh001329",4],[2,0.2757,0.6602,"An Abstract Model for Bruhat Intervals",2000,"https://doi.org/10.1006/eujc.1999.0343",1],[2,0.2349,-0.7637,"The minimal volume orientable hyperbolic 2-cusped 3-manifolds",2010,"https://doi.org/10.1090/s0002-9939-10-10364-5",1],[2,0.4062,-0.519,"Degeneration of Hodge Structures",1986,"https://doi.org/10.2307/1971333",4],[2,-0.4516,-0.7135,"A unique continuation theorem for exterior differential forms on Riemannian manifolds",1962,"https://doi.org/10.1007/bf02591624",1],[2,0.3738,-0.5058,"PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES",2002,"https://doi.org/10.1142/s0129167x02001277",5],[2,-0.7762,0.2658,"A Theorem on Holonomy",1953,"https://doi.org/10.1090/s0002-9947-1953-0063739-1",1],[2,0.774,-0.3231,"Transboundary extremal length",1995,"https://doi.org/10.1007/bf02788827",1],[2,-0.3909,0.5361,"Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition",1966,"https://doi.org/10.1063/1.1704821",2],[2,0.4414,-0.5017,"Variations of Mixed Hodge Structure and Semipositivity Theorems",2014,"https://doi.org/10.4171/prims/145",2],[2,-0.7166,0.2458,"The global stability of Minkowski space-time in harmonic gauge",2010,"https://doi.org/10.4007/annals.2010.171.1401",1],[2,-0.3341,0.5552,"Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and above Tg",2011,"https://doi.org/10.1103/physrevb.84.054442",4],[2,0.4633,-0.6588,"Algebraic construction of Brieskorn's resolutions",1974,"https://doi.org/10.1016/0021-8693(74)90102-1",1],[2,-0.057,-0.4261,"Riemannian manifolds with positive mean curvature",1941,"https://doi.org/10.1215/s0012-7094-41-00832-3",3],[2,0.272,-0.7877,"AlgebraicK-theory and quadratic forms",1970,"https://doi.org/10.1007/bf01425486",1],[2,-0.0777,0.6569,"Cyclic homology of groups and the bass conjecture",1986,"https://doi.org/10.1007/bf02621911",2],[2,-0.2091,-0.7279,"Harmonic morphisms between riemannian manifolds",1978,"https://doi.org/10.5802/aif.691",1],[2,-0.0715,0.6626,"Vanishing of self-extensions over symmetric algebras",2013,"https://doi.org/10.1016/j.jpaa.2013.10.012",2],[2,0.5201,-0.4107,"Intersection theory on the moduli space of curves and the matrix airy function",1992,"https://doi.org/10.1007/bf02099526",2],[2,0.3155,-0.5777,"Intrinsic capacities on compact Kähler manifolds",2005,"https://doi.org/10.1007/bf02922247",2],[2,-0.3906,0.5276,"Rigorous Proof of a Liquid-Vapor Phase Transition in a Continuum Particle System",1998,"https://doi.org/10.1103/physrevlett.80.4701",2],[2,0.4475,0.6943,"Generalized “sandwich” theorems",1942,"https://doi.org/10.1215/s0012-7094-42-00925-6",1],[2,-0.3508,-0.7882,"ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES",1993,"https://doi.org/10.1142/s0129167x93000029",1],[2,0.3218,-0.5714,"The Calabi–Yau theorem and Kähler currents",2016,"https://doi.org/10.4310/atmp.2016.v20.n2.a4",2],[2,-0.0582,0.6354,"Geometric complexity theory: an introduction for geometers",2014,"https://doi.org/10.1007/s11565-014-0202-7",2],[2,-0.1901,-0.706,"On the inverse boundary value problem for linear isotropic elasticity",2002,"https://doi.org/10.1088/0266-5611/18/3/324",1],[2,-0.7557,0.2697,"Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients",2013,"https://doi.org/10.1137/120899613",1],[2,0.2493,-0.7547,"Monodromy representations of braid groups and Yang-Baxter equations",1987,"https://doi.org/10.5802/aif.1114",1],[2,-0.6655,-0.2253,"Iwasawa theory for $K(1)$-local spectra",2007,"https://doi.org/10.1090/s0002-9947-07-04204-3",1],[2,0.2639,0.6086,"Toward a theory of crossing numbers",1970,"https://doi.org/10.1016/s0021-9800(70)80007-2",2],[2,-0.1187,-0.7689,"Hilbert Space Methods for Partial Differential Equations",1994,"https://doi.org/10.58997/ejde.mon.01",1],[2,-0.2558,0.601,"The critical probability for random Voronoi percolation in the plane is 1/2",2005,"https://doi.org/10.1007/s00440-005-0490-z",2],[2,-0.4512,0.7349,"Concentration of measure and isoperimetric inequalities in product spaces",1995,"https://doi.org/10.1007/bf02699376",1],[2,-0.609,0.2108,"On the Existence of a Maximal Cauchy Development for the Einstein Equations: a Dezornification",2015,"https://doi.org/10.1007/s00023-015-0401-5",2],[2,-0.658,-0.2769,"On the construction and topological invariance of the Pontryagin classes",2010,"https://doi.org/10.1007/s10711-010-9527-2",1],[2,-0.7495,-0.3843,"More constraints on Symplectic forms from Seiberg-Witten invariants",1995,"https://doi.org/10.4310/mrl.1995.v2.n1.a2",1],[2,-0.8365,-0.1109,"Hochschild cohomology for von Neumann algebras with Cartan subalgebras",1998,"https://doi.org/10.1353/ajm.1998.0042",1],[2,0.7666,0.3543,"Optimal Sequencing of Two Equivalent Processors",1969,"https://doi.org/10.1137/0117070",1],[2,0.6657,-0.5036,"Gromov-Witten invariants in algebraic geometry",1997,"https://doi.org/10.1007/s002220050132",1],[2,-0.3444,0.5667,"Inverse Littlewood–Offord problems and the singularity of random symmetric matrices",2012,"https://doi.org/10.1215/00127094-1548344",2],[2,-0.4859,-0.6646,"Improving Pogorelov’s isometric embedding counterexample",2008,"https://doi.org/10.1007/s00526-007-0140-7",1],[2,0.2118,-0.8046,"Random sampling and approximation of MAX-CSPs",2003,"https://doi.org/10.1016/s0022-0000(03)00008-4",1],[2,-0.1136,0.7225,"On the Vanishing Ranges for the Cohomology of Finite Groups of Lie Type",2011,"https://doi.org/10.1093/imrn/rnr130",1],[2,0.5951,-0.4333,"Noncritical holomorphic functions on Stein manifolds",2003,"https://doi.org/10.1007/bf02392963",1],[2,-0.0778,0.7384,"Gorenstein projective dimension for complexes",2005,"https://doi.org/10.1090/s0002-9947-05-03771-2",1],[2,-0.1497,0.6273,"Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas",1984,"https://doi.org/10.1007/bf01009437",2],[2,-0.6812,0.2473,"Global pointwise estimates for Green's matrix of second order elliptic systems",2010,"https://doi.org/10.1016/j.jde.2010.05.017",1],[2,-0.8081,0.0261,"Strongly self-absorbing C*-algebras are $\\mathcal{Z}$-stable",2011,"https://doi.org/10.4171/jncg/74",1],[2,0.1753,0.807,"Matroid intersection, base packing and base covering for infinite matroids",2014,"https://doi.org/10.1007/s00493-014-2953-2",1],[2,-0.3876,0.6508,"Composite Media and Asymptotic Dirichlet Forms",1994,"https://doi.org/10.1006/jfan.1994.1093",1],[2,-0.3089,-0.7133,"Multiple closed geodesics on 3-spheres",2009,"https://doi.org/10.1016/j.aim.2009.03.007",1],[2,0.0897,-0.7387,"A note on commuting pairs of matrices",1992,"https://doi.org/10.1080/03081089208818123",1],[2,-0.7678,-0.2335,"Localization with Respect to Certain Periodic Homology Theories",1984,"https://doi.org/10.2307/2374308",1],[2,0.414,-0.765,"Manifolds with ample canonical class",1968,"https://doi.org/10.1007/bf01425543",1],[2,-0.266,0.6084,"Multi-point Green’s functions for SLE and an estimate of Beffara",2013,"https://doi.org/10.1214/11-aop695",2],[2,-0.1937,0.6327,"Renormalization of the nonlinear σ model in 2+ε dimensions",1976,"https://doi.org/10.1103/physrevd.14.2615",2],[2,0.613,-0.4522,"Oka's Principle for Holomorphic Sections of Elliptic Bundles",1989,"https://doi.org/10.1090/s0894-0347-1989-1001851-9",1],[2,0.8607,0.1405,"On tape-bounded probabilistic Turing machine acceptors",1981,"https://doi.org/10.1016/0304-3975(81)90032-3",1],[2,0.7496,0.3337,"An Efficient MCMC Algorithm to Sample Binary Matrices with Fixed Marginals",2008,"https://doi.org/10.1007/s11336-008-9062-3",1],[2,0.7232,0.2383,"Randomized k-server on hierarchical binary trees",2008,"https://doi.org/10.1145/1374376.1374411",1],[2,0.5434,0.456,"Distribution Functions and the Riemann Zeta Function",1935,"https://doi.org/10.1090/s0002-9947-1935-1501802-5",1],[2,-0.5809,0.2704,"Constructive proof of localization in the Anderson tight binding model",1985,"https://doi.org/10.1007/bf01212355",2],[2,-0.7516,0.2668,"A strong maximum principle for singular minimal hypersurfaces",1996,"https://doi.org/10.1007/bf01246151",1],[2,-0.679,0.2186,"Sufficient Condition for Entanglement Area Laws in Thermodynamically Gapped Spin Systems",2014,"https://doi.org/10.1103/physrevlett.113.197204",1],[2,0.3003,0.7874,"All trapezoids are Ramsey",1992,"https://doi.org/10.1016/0012-365x(92)90660-8",1],[2,-0.7249,0.0918,"The order parameter for spin glasses: a function on the interval 0-1",1980,"https://doi.org/10.1088/0305-4470/13/3/042",1],[2,-0.6203,-0.2107,"Galois actions on torsion points of one-dimensional formal modules",2010,"https://doi.org/10.1016/j.jnt.2009.10.004",3],[2,0.3909,0.7498,"Difference sets and shifted primes",2008,"https://doi.org/10.1007/s10474-007-7107-1",1],[2,-0.6125,0.2319,"Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter",1975,"https://doi.org/10.1103/physrevlett.35.687",5],[2,0.5973,-0.4947,"Invariant Kähler—Einstein metrics on compact homogeneous spaces",1986,"https://doi.org/10.1007/bf01078469",1],[2,0.8256,0.2549,"Isomorphism of graphs of bounded valence can be tested in polynomial time",1982,"https://doi.org/10.1016/0022-0000(82)90009-5",1],[2,-0.0107,-0.0788,"The measure of the critical values of differentiable maps",1942,"https://doi.org/10.1090/s0002-9904-1942-07811-6",10],[2,-0.083,0.4634,"General formulation of Griffiths' inequalities",1970,"https://doi.org/10.1007/bf01646537",8],[2,0.0147,-0.846,"𝑝-adic Hodge theory",1988,"https://doi.org/10.1090/s0894-0347-1988-0924705-1",1],[2,-0.5719,0.4089,"Some results on one-relator groups",1968,"https://doi.org/10.1090/s0002-9904-1968-12012-9",1],[2,-0.6953,0.2511,"Existence of maximal surfaces in asymptotically flat spacetimes",1984,"https://doi.org/10.1007/bf01209300",1],[2,0.4116,-0.5078,"Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant",1997,"https://doi.org/10.1007/s002220050141",3],[2,-0.7605,-0.1359,"Invariant subspaces of the quasinilpotent DT-operator",2003,"https://doi.org/10.1016/s0022-1236(03)00167-8",1],[2,0.8549,-0.06,"Semidefinite representation of convex sets",2008,"https://doi.org/10.1007/s10107-008-0240-y",1],[2,-0.6922,-0.2149,"Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)",1976,"https://doi.org/10.2307/2373808",1],[2,0.386,-0.5077,"On $D$ -dimensions of algebraic varieties",1971,"https://doi.org/10.2969/jmsj/02320356",6],[2,0.0829,-0.7485,"The number of integral points on arcs and ovals",1989,"https://doi.org/10.1215/s0012-7094-89-05915-2",1],[2,-0.5391,-0.386,"A Remark on Two Duality Relations",2006,"https://doi.org/10.1007/s00020-006-1479-4",2],[2,-0.4874,-0.7076,"Lp and mean value properties of subharmonic functions on Riemannian manifolds",1984,"https://doi.org/10.1007/bf02392380",1],[2,-0.2298,0.7454,"Correction to four-loop RG functions in the two-dimensional lattice 0(n) σ-model",1999,"https://doi.org/10.1016/s0550-3213(99)00020-6",1],[2,-0.3732,0.7737,"Strict inequalities for the time constant in first passage percolation",2002,"https://doi.org/10.1214/aoap/1031863179",1],[2,-0.6067,-0.235,"The Kervaire Invariant of Framed Manifolds and its Generalization",1969,"https://doi.org/10.2307/1970686",2],[2,0.3243,-0.5775,"Boundedness of pluricanonical maps of varieties of general type",2006,"https://doi.org/10.1007/s00222-006-0504-1",2],[2,0.0121,-0.6618,"Equidistribution of Heegner points and ternary quadratic forms",2010,"https://doi.org/10.1007/s00208-010-0568-5",2],[2,0.7073,-0.4851,"Prediction theory and Fourier Series in several variables",1958,"https://doi.org/10.1007/bf02392425",1],[2,0.4274,0.7339,"A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs",1952,"https://doi.org/10.1112/jlms/s1-27.1.85",1],[2,0.6345,0.3399,"Halting space-bounded computations",1980,"https://doi.org/10.1016/0304-3975(80)90053-5",1],[2,-0.193,-0.7567,"Global weak solutions of Vlasov‐Maxwell systems",1989,"https://doi.org/10.1002/cpa.3160420603",1],[2,0.3001,0.5824,"On lines, joints, and incidences in three dimensions",2010,"https://doi.org/10.1016/j.jcta.2010.11.008",3],[2,-0.8085,0.0989,"Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds",2000,"https://doi.org/10.1007/s002200050004",1],[2,-0.4482,0.6882,"Sharpness of the Phase Transition and Exponential Decay of the Subcritical Cluster Size for Percolation on Quasi-Transitive Graphs",2007,"https://doi.org/10.1007/s10955-007-9459-x",1],[2,0.528,0.5675,"Dynamical systems, filtrations and entropy",1974,"https://doi.org/10.1090/s0002-9904-1974-13344-6",1],[2,0.3859,-0.6469,"Obstructions to the Existence of Sasaki–Einstein Metrics",2007,"https://doi.org/10.1007/s00220-007-0213-7",1],[2,0.7511,-0.4037,"On space–time estimates for the Schrödinger operator",2012,"https://doi.org/10.1016/j.matpur.2012.06.003",1],[2,0.007,0.6374,"The K -theory of fields in characteristic p",2000,"https://doi.org/10.1007/s002220050014",2],[2,-0.116,0.8098,"Modular Harish-Chandra theory I",1992,"https://doi.org/10.1007/bf02571417",1],[2,0.3098,-0.7392,"Isomorphisms of Galois groups of solvably closed Galois extensions",1979,"https://doi.org/10.2748/tmj/1178229803",1],[2,0.2569,0.697,"All Triangles are Ramsey",1986,"https://doi.org/10.1090/s0002-9947-1986-0854099-6",1],[2,-0.2285,0.7617,"When does a Quantum Field Theory describe particles?",1965,"https://doi.org/10.1007/bf01645906",1],[2,-0.3682,-0.6426,"Flots d’Anosov à distributions stable et instable différentiables",1992,"https://doi.org/10.1090/s0894-0347-1992-1124979-1",1],[2,0.7388,0.4001,"Krohn–Rhodes complexity of Brauer type semigroups",2013,"https://doi.org/10.4171/pm/1921",1],[2,-0.1239,0.806,"Ariki-Koike algebras with semisimple bottoms",2000,"https://doi.org/10.1007/s002090050009",1],[2,0.7303,-0.0932,"The local regularity of solutions of degenerate elliptic equations",1982,"https://doi.org/10.1080/03605308208820218",1],[2,0.3056,0.5707,"On Sets of Natural Numbers Whose Difference Set Contains No Squares",1988,"https://doi.org/10.1112/jlms/s2-37.2.219",3],[2,-0.023,0.7556,"Multivariate polynomial interpolation on lower sets",2013,"https://doi.org/10.1016/j.jat.2013.09.008",1],[2,-0.4953,-0.4142,"Subspaces of $ c_0 ({\\Bbb N}) $ and Lipschitz isomorphisms",2000,"https://doi.org/10.1007/pl00001638",2],[2,-0.8012,-0.2486,"On the chromatic tower",2003,"https://doi.org/10.1353/ajm.2003.0018",1],[2,0.3611,-0.6182,"Multiplier ideals of sums via cellular resolutions",2008,"https://doi.org/10.4310/mrl.2008.v15.n2.a13",1],[2,0.4984,-0.6894,"TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS",1996,"https://doi.org/10.1142/s0218216596000333",1],[2,-0.8337,-0.1379,"C ∗ -Algebras Associated with Groups with Kazhdan's Property T",1991,"https://doi.org/10.2307/2944351",1],[2,-0.2926,-0.7704,"Stability of translating solutions to mean curvature flow",2007,"https://doi.org/10.1007/s00526-006-0033-1",1],[2,-0.5858,0.2809,"Comparison Theorems for Reversible Markov Chains",1993,"https://doi.org/10.1214/aoap/1177005359",2],[2,-0.7913,0.0923,"Modular structure of the local algebras associated with the free massless scalar field theory",1982,"https://doi.org/10.1007/bf01208372",1],[2,-0.1724,-0.6163,"Reproducing kernels for polyharmonic polynomials",2008,"https://doi.org/10.1007/s00013-008-2447-9",2],[2,-0.3689,0.6531,"The Aizenman-Sims-Starr scheme and Parisi formula for mixed $p$-spin spherical models",2013,"https://doi.org/10.1214/ejp.v18-2580",1],[2,-0.445,-0.6617,"The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$",2007,"https://arxiv.org/abs/0707.0033",1],[2,-0.4852,0.568,"Categoricity of theories in Lϰω, with ϰ a compact cardinal",1990,"https://doi.org/10.1016/0168-0072(90)90016-u",1],[2,0.4249,-0.4989,"Invariant distances on complex manifolds and holomorphic mappings",1967,"https://doi.org/10.2969/jmsj/01940460",2],[2,-0.2956,-0.6778,"Loop products and closed geodesics",2009,"https://doi.org/10.1215/00127094-2009-049",1],[2,-0.5013,-0.4146,"Banach spaces determined by their uniform structures",1996,"https://doi.org/10.1007/bf02249259",2],[2,-0.7891,0.2842,"Mixed boundary value problems for elliptic and parabolic differential equations of second order",1986,"https://doi.org/10.1016/0022-247x(86)90314-8",1],[2,0.3336,-0.563,"3-FOLD LOG FLIPS",1993,"https://doi.org/10.1070/im1993v040n01abeh001862",2],[2,0.7979,-0.1474,"Volumes of projection bodies",1996,"https://doi.org/10.1112/s002557930001175x",1],[2,0.4095,-0.5039,"Multiplier Ideal Sheaves and Kahler-Einstein Metrics of Positive Scalar Curvature",1990,"https://doi.org/10.2307/1971429",5],[2,0.6678,0.3536,"A note on the reduction of two-way automata to one-way automata",1989,"https://doi.org/10.1016/0020-0190(89)90205-6",1],[2,-0.1326,-0.8167,"The hot spots problem in planar domains with one hole",2005,"https://doi.org/10.1215/s0012-7094-05-12932-5",1],[2,0.0712,-0.7052,"Power-free values of polynomials",2011,"https://doi.org/10.1007/s00013-011-0224-7",1],[2,-0.342,0.5427,"Mean-field critical behaviour for percolation in high dimensions",1990,"https://doi.org/10.1007/bf02108785",2],[2,0.06,-0.0895,"Endomorphisms of linear algebraic groups",1968,"https://doi.org/10.1090/memo/0080",3],[2,-0.6869,0.2477,"Regularity for a more general class of quasilinear elliptic equations",1984,"https://doi.org/10.1016/0022-0396(84)90105-0",1],[2,-0.6113,0.1975,"Entanglement-area law for general bosonic harmonic lattice systems",2006,"https://doi.org/10.1103/physreva.73.012309",2],[2,0.4576,-0.5399,"Complex geometry of convex domains that cover varieties",1989,"https://doi.org/10.1007/bf02392734",1],[2,-0.8202,0.0988,"Local algebras of observables and pointlike localized fields",1981,"https://doi.org/10.1007/bf01941663",1],[2,-0.4737,0.4165,"Absolutely Continuous Spectrum in the Anderson Model on the Bethe Lattice",1994,"https://doi.org/10.4310/mrl.1994.v1.n4.a1",2],[2,0.4822,0.321,"On Sets of Integers Which Contain No Three Terms in Arithmetical Progression",1942,"https://doi.org/10.1073/pnas.28.12.561",2],[2,-0.7992,0.2115,"A proof of part of Haldane's conjecture on spin chains",1986,"https://doi.org/10.1007/bf00400304",1],[2,-0.3006,-0.7281,"On the distribution of the nodal sets of random spherical harmonics",2009,"https://doi.org/10.1063/1.3056589",1],[2,-0.5844,0.421,"Quasisymmetric parametrizations of two-dimensional metric spheres",2002,"https://doi.org/10.1007/s00222-002-0233-z",1],[2,0.7179,0.4614,"Some Time-Space Tradeoff Results Concerning Single-Tape and Offline TM’ s",1983,"https://doi.org/10.1137/0212025",1],[2,-0.6974,0.3376,"Invariant states in statistical mechanics",1966,"https://doi.org/10.1007/bf01645409",1],[2,0.2308,0.7112,"On the measure of intersecting families, uniqueness and stability",2008,"https://doi.org/10.1007/s00493-008-2318-9",1],[2,-0.6303,0.217,"Schwarzschild field inn dimensions and the dimensionality of space problem",1963,"https://doi.org/10.1007/bf02784569",5],[2,0.1683,0.7542,"The Intersection of Two Infinite Matroids",1998,"https://doi.org/10.1112/s0024610798006723",1],[2,0.5021,-0.6972,"Moduli spaces of weighted pointed stable curves",2003,"https://doi.org/10.1016/s0001-8708(02)00058-0",1],[2,-0.6876,0.2936,"Kohn-Sham calculations with the exact functional",2014,"https://doi.org/10.1103/physrevb.90.045109",1],[2,0.4145,0.6981,"The Colin de Verdi�re number and sphere representations of a graph",1997,"https://doi.org/10.1007/bf01195002",1],[2,0.5261,-0.5242,"Twisted Harmonic Maps and the Self-Duality Equations",1987,"https://doi.org/10.1112/plms/s3-55.1.127",1],[2,-0.8107,0.2047,"General state changes in quantum theory",1971,"https://doi.org/10.1016/0003-4916(71)90108-4",1],[2,0.3093,0.7575,"Reflection subgroups of Coxeter systems",1990,"https://doi.org/10.1016/0021-8693(90)90149-i",1],[2,-0.2023,0.7911,"Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models",1987,"https://doi.org/10.1007/bf01009954",1],[2,-0.7316,0.311,"Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v -representability problem",1979,"https://doi.org/10.1073/pnas.76.12.6062",1],[2,0.6853,0.3709,"The Reduction of Two-Way Automata to One-Way Automata",1959,"https://doi.org/10.1147/rd.32.0198",1],[2,-0.3592,-0.6422,"Symplectic embeddings of ellipsoids in dimension greater than four",2011,"https://doi.org/10.2140/gt.2011.15.2091",1],[2,-0.4496,-0.6665,"ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY",2005,"https://doi.org/10.1142/s0218202505000352",1],[2,-0.7725,0.3445,"Asymptotic form of zero energy wave functions in supersymmetric matrix models",2000,"https://doi.org/10.1016/s0550-3213(99)00649-5",1],[2,0.3303,-0.7967,"ON PROJECTIVE SIMPLICITY OF CERTAIN GROUPS OF RATIONAL POINTS OVER ALGEBRAIC NUMBER FIELDS",1990,"https://doi.org/10.1070/im1990v034n02abeh000657",1],[2,-0.0483,0.6069,"The influence of variables in product spaces",1992,"https://doi.org/10.1007/bf02808010",2],[2,0.773,0.0929,"Rank of maximum matchings in a graph",1982,"https://doi.org/10.1007/bf01581025",1],[2,-0.5063,-0.3899,"Martingales valued in certain subspaces ofL 1",1980,"https://doi.org/10.1007/bf02762868",3],[2,0.582,-0.2757,"Schrödinger equations: pointwise convergence to the initial data",1988,"https://doi.org/10.1090/s0002-9939-1988-0934859-0",2],[2,-0.6403,0.1811,"Energy gaps and elementary excitations for certain VBS-quantum antiferromagnets",1988,"https://doi.org/10.1007/bf01019721",2],[2,-0.6159,0.1933,"Lieb-Robinson Bounds and the Exponential Clustering Theorem",2006,"https://doi.org/10.1007/s00220-006-1556-1",2],[2,-0.2879,0.6052,"Critical and multicritical O(n) models",1990,"https://doi.org/10.1016/0378-4371(90)90325-m",2],[2,-0.5617,0.6603,"Categoricity overP for first orderT or categoricity forϕ ∈L ω1ω can stop at ℵ k while holding for ℵ0, ..., ℵ k−1",1990,"https://doi.org/10.1007/bf02807869",1],[2,0.4203,-0.7266,"On the Minimal Model Theory for DLT Pairs of Numerical Log Kodaira Dimension Zero",2011,"https://doi.org/10.4310/mrl.2011.v18.n5.a16",1],[2,0.2181,-0.4335,"Projective Manifolds with Ample Tangent Bundles",1979,"https://doi.org/10.2307/1971241",4],[2,-0.3915,0.6423,"An Isoperimetric Theorem on the Cube and the Kintchine-Kahane Inequalities",1988,"https://doi.org/10.1090/s0002-9939-1988-0964871-7",1],[2,-0.3973,0.7564,"Phase diagrams for dilute spin glasses",1985,"https://doi.org/10.1088/0022-3719/18/15/013",1],[2,-0.0818,0.6394,"Euler characteristics and characters of discrete groups",1976,"https://doi.org/10.1007/bf01390137",2],[2,0.7137,0.055,"On the NP-Hardness of Max-Not-2",2014,"https://doi.org/10.1137/120882718",1],[2,-0.2445,0.1213,"Automorphisms of Finite Linear Groups",1960,"https://doi.org/10.4153/cjm-1960-054-6",2],[2,0.4578,0.6702,"Tesselation of integers",1977,"https://doi.org/10.1016/0022-314x(77)90054-3",1],[2,0.3627,0.7264,"New proofs of Plünnecke-type estimates for product sets in groups",2012,"https://doi.org/10.1007/s00493-012-2818-5",1],[2,0.0684,-0.8709,"Equidistribution of Small Points on Abelian Varieties",1998,"https://doi.org/10.2307/120986",1],[2,0.1373,-0.6396,"On lattice points in n -dimensional star bodies I. Existence theorems",1946,"https://doi.org/10.1098/rspa.1946.0072",2],[2,0.0101,-0.7481,"A REMARK ON ENDOMORPHISMS OF ABELIAN VARIETIES OVER FUNCTION FIELDS OF FINITE CHARACTERISTIC",1974,"https://doi.org/10.1070/im1974v008n03abeh002115",1],[2,-0.0044,0.7179,"Abstract derivation and Lie algebras",1937,"https://doi.org/10.1090/s0002-9947-1937-1501922-7",1],[2,-0.6119,0.2431,"Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors",1962,"https://doi.org/10.1103/revmodphys.34.694",2],[2,0.2468,-0.6172,"Anisotropic groups of type Anand the commuting graph of finite simple groups",2002,"https://doi.org/10.2140/pjm.2002.202.125",2],[2,0.0088,-0.6642,"Root numbers and parity of ranks of elliptic curves",2011,"https://doi.org/10.1515/crelle.2011.060",2],[2,-0.6782,-0.3089,"The stable topology of 4-manifolds",1983,"https://doi.org/10.1016/0166-8641(83)90049-4",1],[2,0.7712,-0.0938,"Curvilinear Extensions of the Brunn-Minkowski-Lusternik Inequality",1994,"https://doi.org/10.1006/aima.1994.1088",1],[2,0.6397,0.129,"Matrix multiplication via arithmetic progressions",1990,"https://doi.org/10.1016/s0747-7171(08)80013-2",3],[2,-0.8135,-0.2962,"For complex orientations preserving power operations, p-typicality is atypical",2010,"https://doi.org/10.1016/j.topol.2010.06.007",1],[2,0.4347,-0.6112,"Generalized Fermat curves",2009,"https://doi.org/10.1016/j.jalgebra.2009.01.002",1],[2,0.5766,-0.6416,"Variation of geometric invariant theory quotients",1998,"https://doi.org/10.1007/bf02698859",1],[2,-0.2845,-0.7686,"Asymptotic behavior for singularities of the mean curvature flow",1990,"https://doi.org/10.4310/jdg/1214444099",1],[2,0.4853,-0.4197,"An algebraic classification of some knots of codimension two",1970,"https://doi.org/10.1007/bf02567325",2],[2,-0.641,-0.0432,"Dimension functions and traces on C∗-algebras",1982,"https://doi.org/10.1016/0022-1236(82)90009-x",2],[2,-0.4577,0.6985,"Non-amenable Cayley graphs of high girth have $p_c < p_u$ and mean-field exponents",2012,"https://doi.org/10.1214/ecp.v17-2139",1],[2,-0.6775,-0.3035,"Surgery on closed 4-manifolds with free fundamental group",2002,"https://doi.org/10.1017/s0305004102006084",1],[2,0.3393,0.7191,"Error Detecting and Error Correcting Codes",1950,"https://doi.org/10.1002/j.1538-7305.1950.tb00463.x",1],[2,0.6012,-0.5336,"Generalized Poincare's Conjecture in Dimensions Greater Than Four",1961,"https://doi.org/10.2307/1970239",1],[2,0.1107,-0.8348,"Mean values with cubic characters",2010,"https://doi.org/10.1016/j.jnt.2009.11.007",1],[2,-0.8315,-0.0676,"Kadison–Kastler stable factors",2014,"https://doi.org/10.1215/00127094-2819736",1],[2,-0.4148,-0.5911,"On the Complex Structure of Kähler Manifolds with Nonnegative Curvature",2006,"https://doi.org/10.4310/jdg/1146169936",1],[2,-0.0019,-0.7282,"Non-vanishing of quadratic twists of modular L-functions",1998,"https://doi.org/10.1007/s002220050275",1],[2,-0.0319,0.7033,"Borel-plus-powers monomial ideals",2007,"https://doi.org/10.1016/j.jpaa.2007.09.010",1],[2,0.0628,-0.3723,"L2 estimates and existence theorems for the $\\bar \\partial $ operator",1965,"https://doi.org/10.1007/bf02391775",2],[2,0.0448,-0.7696,"Endomorphism Algebras of Jacobians",2001,"https://doi.org/10.1006/aima.2001.1994",1],[2,-0.2808,-0.1594,"The deformation theorem for flat chains",1999,"https://doi.org/10.1007/bf02392829",2],[2,-0.234,0.7136,"A general Lee-Yang theorem for one-component and multicomponent ferromagnets",1981,"https://doi.org/10.1007/bf01213009",1],[2,-0.8377,0.2384,"Topological quantum order: Stability under local perturbations",2010,"https://doi.org/10.1063/1.3490195",1],[2,0.6117,0.3943,"Tape bounds for time-bounded turing machines",1972,"https://doi.org/10.1016/s0022-0000(72)80017-5",1],[2,-0.7879,0.3057,"Bound on the maximum negative ionization of atoms and molecules",1984,"https://doi.org/10.1103/physreva.29.3018",1],[2,-0.3177,0.5551,"Phase diagram and large deviations in the free energy of mean-field spin glasses",2009,"https://doi.org/10.1103/physrevb.79.134205",2],[2,-0.1855,-0.7288,"Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics",1990,"https://doi.org/10.1007/bf02097656",1],[2,0.2605,0.6661,"Hecke Algebra Characters and Immanant Conjectures",1993,"https://doi.org/10.1090/s0894-0347-1993-1186961-9",1],[2,-0.7603,0.3264,"Spectral properties of Neumann Laplacian of horns",1992,"https://doi.org/10.1007/bf01895707",1],[2,0.305,0.7622,"Method for constructing bijections for classical partition identities",1981,"https://doi.org/10.1073/pnas.78.4.2026",1],[2,0.0195,-0.6708,"Arithmetic of Elliptic Curves Upon Quadratic Extension",1981,"https://doi.org/10.1090/s0002-9947-1981-0597871-8",2],[2,-0.4733,0.529,"Fixed points of jump preserving automorphisms of degrees",1977,"https://doi.org/10.1007/bf03007659",1],[2,-0.1121,0.849,"Decomposition of Augmentation Ideals and Relation Modules",1983,"https://doi.org/10.1112/plms/s3-47.1.83",1],[2,-0.8013,-0.1211,"Large deviation bounds for matrix Brownian motion",2003,"https://doi.org/10.1007/s00222-002-0281-4",1],[2,-0.2112,0.6293,"A simple method for finite range decomposition of quadratic forms and Gaussian fields",2013,"https://doi.org/10.1007/s00440-012-0471-y",2],[2,0.2538,0.5859,"Barycentric Lagrange Interpolation",2004,"https://doi.org/10.1137/s0036144502417715",2],[2,0.4525,0.4738,"Topological transitivity of billiards in polygons",1975,"https://doi.org/10.1007/bf01818045",2],[2,0.7083,0.1692,"Matching is as easy as matrix inversion",1987,"https://doi.org/10.1145/28395.383347",1],[2,-0.632,-0.4976,"Super-Reflexive Banach Spaces",1972,"https://doi.org/10.4153/cjm-1972-089-7",1],[2,0.0317,-0.6364,"Good Reduction of Abelian Varieties",1968,"https://doi.org/10.2307/1970722",2],[2,0.1075,0.3065,"Modified Logarithmic Sobolev Inequalities in Discrete Settings",2006,"https://doi.org/10.1007/s10959-006-0016-3",2],[2,0.4093,-0.5945,"Propri\\'et\\'es topologiques des polyn\\^omes de deux variables complexes, et automorphismes alg\\'ebriques de l'espace C2",1974,"https://doi.org/10.2969/jmsj/02620241",1],[2,0.4194,0.72,"Analytic functions ofM-matrices and generalizations",1983,"https://doi.org/10.1080/03081088308817519",1],[2,-0.7909,0.2407,"Some metric inequalities in the space of matrices",1955,"https://doi.org/10.1090/s0002-9939-1955-0067841-7",1],[2,0.1066,-0.6161,"Sur certains groupes d'opérateurs unitaires",1964,"https://doi.org/10.1007/bf02391012",6],[2,0.7189,0.2436,"O(log log Rank) Competitive Ratio for the Matroid Secretary Problem",2014,"https://doi.org/10.1109/focs.2014.42",1],[2,-0.6783,0.182,"Exactly Solvable Fermion Chain Describing a ν=1/3 Fractional Quantum Hall State",2012,"https://doi.org/10.1103/physrevlett.109.016401",1],[2,-0.207,-0.7147,"Determining conductivity by boundary measurements",1984,"https://doi.org/10.1002/cpa.3160370302",1],[2,0.7326,0.2367,"Lower Bounds for Randomized k -Server and Motion-Planning Algorithms",1994,"https://doi.org/10.1137/s0097539792224838",1],[2,-0.7257,0.3046,"Kohn-Sham Theory for Ground-State Ensembles",2001,"https://doi.org/10.1103/physrevlett.87.093001",1],[2,-0.4353,-0.4744,"On the structure of manifolds with positive scalar curvature",1979,"https://doi.org/10.1007/bf01647970",3],[2,-0.5039,-0.4224,"Existence of separable uniformly homeomorphic nonisomorphic Banach spaces",1984,"https://doi.org/10.1007/bf02761159",2],[2,-0.7624,-0.0927,"The Hochschild cohomology problem for von Neumann algebras",1998,"https://doi.org/10.1073/pnas.95.7.3376",1],[2,-0.0349,0.7972,"Maximum betti numbers of homogeneous ideals with a given hilbert function",1993,"https://doi.org/10.1080/00927879308824680",1],[2,-0.6673,0.0145,"When central sequence C*-algebras have characters",2015,"https://doi.org/10.1142/s0129167x15500494",2],[2,-0.0991,-0.7569,"Energy-Supercritical NLS: Critical[Hdot]s-Bounds Imply Scattering",2010,"https://doi.org/10.1080/03605301003717084",1],[2,0.7289,0.1154,"Relationships between nondeterministic and deterministic tape complexities",1970,"https://doi.org/10.1016/s0022-0000(70)80006-x",1],[2,-0.6267,-0.1997,"Tate modules of universal p -divisible groups",2009,"https://doi.org/10.1112/s0010437x09004242",3],[2,0.788,0.0951,"Dimer Statistics and Phase Transitions",1963,"https://doi.org/10.1063/1.1703953",1],[2,-0.0253,0.6483,"Left and right inverses in group algebras",1969,"https://doi.org/10.1090/s0002-9904-1969-12234-2",2],[2,0.8068,0.0963,"Exponentially many perfect matchings in cubic graphs",2011,"https://doi.org/10.1016/j.aim.2011.03.015",1],[2,-0.1757,-0.697,"Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited",2004,"https://doi.org/10.4310/cms.2004.v2.n2.a1",1],[2,-0.3913,-0.6643,"Entropy of the geodesic flow for metric spaces and Bruhat–Tits buildings",2006,"https://doi.org/10.1515/advgeom.2006.029",1],[2,-0.6461,0.3129,"Zeros of the Partition Function for the Heisenberg, Ferroelectric, and General Ising Models",1971,"https://doi.org/10.1063/1.1665583",1],[2,-0.1151,-0.7382,"MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR",1988,"https://doi.org/10.1070/sm1988v061n01abeh003204",1],[2,-0.2042,-0.7781,"Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data",1992,"https://doi.org/10.1016/0022-0396(92)90033-j",1],[2,0.5233,-0.5524,"Sur le prolongement des courants positifs fermés",1984,"https://doi.org/10.1007/bf02392374",1],[2,-0.586,0.2887,"Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet",1991,"https://doi.org/10.1007/bf01885500",3],[2,0.33,-0.5857,"Effectiveness of the log Iitaka fibration for 3-folds and 4-folds",2009,"https://doi.org/10.2140/ant.2009.3.697",3],[2,0.3245,-0.5741,"On existence of log minimal models",2010,"https://doi.org/10.1112/s0010437x09004564",4],[2,0.75,-0.2547,"Some operator monotone functions",1972,"https://doi.org/10.1090/s0002-9939-1972-0306957-4",1],[2,-0.8047,0.1945,"Bound entangled states with extremal properties",2014,"https://doi.org/10.1103/physreva.90.012301",1],[2,0.294,-0.7394,"Strong Approximation for Semi-Simple Groups Over Function Fields",1977,"https://doi.org/10.2307/1970924",1],[2,-0.7945,0.2889,"Differential Forms in Algebraic Topology",1982,"https://doi.org/10.1007/978-1-4757-3951-0",1],[2,-0.2126,0.6267,"On an inequality of Lieb and Thirring",1990,"https://doi.org/10.1007/bf01045887",6],[2,0.3486,0.7277,"Lopsided Lovász Local Lemma and Latin transversals",1991,"https://doi.org/10.1016/0166-218x(91)90040-4",1],[2,0.2839,0.8022,"Graph Sparsification by Effective Resistances",2011,"https://doi.org/10.1137/080734029",1],[2,-0.3978,-0.7696,"A Note on Hyperhermitian Four-Manifolds",1988,"https://doi.org/10.2307/2046051",1],[2,-0.5453,0.4633,"CAT(0) and CAT(-1) dimensions of torsion free hyperbolic groups",2007,"https://doi.org/10.4171/cmh/85",1],[2,-0.4032,0.6815,"Time-Dependent Statistics of the Ising Model",1963,"https://doi.org/10.1063/1.1703954",1],[2,-0.2055,0.6287,"A contour line of the continuum Gaussian free field",2012,"https://doi.org/10.1007/s00440-012-0449-9",5],[2,-0.6526,-0.3457,"On the Structure of Hopf Algebras",1965,"https://doi.org/10.2307/1970615",1],[2,0.2488,0.6802,"Median orders of tournaments: A tool for the second neighborhood problem and Sumner's conjecture",2000,"https://doi.org/10.1002/1097-0118(200012)35:4<244::aid-jgt2>3.0.co;2-h",1],[2,0.6869,0.2962,"Structure and eigenvalues of heat-bath Markov chains",2014,"https://doi.org/10.1016/j.laa.2014.04.018",1],[2,-0.5633,0.6205,"Existential Definability in Arithmetic",1952,"https://doi.org/10.1090/s0002-9947-1952-0048374-2",1],[2,-0.4821,-0.5204,"The Yamabe problem",1987,"https://doi.org/10.1090/s0273-0979-1987-15514-5",1],[2,-0.6095,0.248,"Bose-Einstein quantum phase transition in an optical lattice model",2004,"https://doi.org/10.1103/physreva.70.023612",2],[2,0.2088,-0.7866,"On the number of positive integers less than 𝑥 and free of prime divisors greater than 𝑥^{𝑐}",1949,"https://doi.org/10.1090/s0002-9904-1949-09337-0",1],[2,-0.7931,0.2369,"Mutually unbiased bases and Hadamard matrices of order six",2007,"https://doi.org/10.1063/1.2716990",1],[2,-0.2681,-0.5853,"Periods of Periodic Solutions and the Lipschitz Constant",1969,"https://doi.org/10.1090/s0002-9939-1969-0245916-7",5],[2,0.1489,-0.7831,"A remark on Hofmann and Wolke's additive decompositions of the set of primes",2001,"https://doi.org/10.1007/s000130050538",1],[2,0.0161,-0.7902,"Arithmetic Fuchsian Groups of Genus Zero",2006,"https://doi.org/10.4310/pamq.2006.v2.n2.a9",1],[2,-0.651,0.4556,"Hyperbolic automorphisms of free groups",2000,"https://doi.org/10.1007/pl00001647",1],[2,0.5321,-0.5624,"The de rham homotopy theory of complex algebraic varieties I",1987,"https://doi.org/10.1007/bf00533825",1],[2,-0.6227,0.4613,"On the definition of a family of automata",1961,"https://doi.org/10.1016/s0019-9958(61)80020-x",1],[2,0.4566,0.7113,"The (dimension + 2)-secant Lemma",1991,"https://doi.org/10.1007/bf01243904",1],[2,0.7834,-0.1441,"Projection bodies and valuations",2002,"https://doi.org/10.1016/s0001-8708(02)00021-x",1],[2,0.7013,0.1967,"Quadratic Lower Bound for Permanent Vs. Determinant in any Characteristic",2010,"https://doi.org/10.1007/s00037-009-0284-2",1],[2,0.6449,0.1558,"A $T = O(2^{n/2} )$, $S = O(2^{n/4} )$ Algorithm for Certain NP-Complete Problems",1981,"https://doi.org/10.1137/0210033",2],[2,0.3345,0.6649,"On a problem of Erd?s and Lov�sz: Random lines in a projective plane",1992,"https://doi.org/10.1007/bf01305234",1],[2,0.596,-0.4452,"A Characterization of Products of Projective Spaces",2006,"https://doi.org/10.4153/cmb-2006-028-3",1],[2,0.6202,-0.5869,"Lagrangian fibrations on hyperkähler manifolds – On a question of Beauville",2013,"https://doi.org/10.24033/asens.2191",1],[2,-0.1046,-0.4259,"On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces",2014,"https://doi.org/10.1007/s00222-014-0563-7",3],[2,0.2293,-0.5988,"Generators and Relations for the Etale Fundamental Group",2010,"https://doi.org/10.4310/pamq.2010.v6.n1.a6",3],[2,0.7016,-0.2726,"Coefficient estimates for negative powers of the derivative of univalent functions",1998,"https://doi.org/10.1007/bf02384769",1],[2,-0.2323,0.6924,"Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet",1975,"https://doi.org/10.1051/jphys:01975003606058100",1],[2,-0.5015,0.5458,"Structure and complexity of relational queries",1982,"https://doi.org/10.1016/0022-0000(82)90012-5",1],[2,0.8183,-0.2816,"A variation norm Carleson theorem",2012,"https://doi.org/10.4171/jems/307",1],[2,-0.867,0.0126,"On the structure of simple C∗-algebras tensored with a UHF-algebra, II",1992,"https://doi.org/10.1016/0022-1236(92)90106-s",1],[2,0.6826,0.2716,"The Factorization of Linear Graphs",1947,"https://doi.org/10.1112/jlms/s1-22.2.107",1],[2,-0.1417,-0.7514,"On general minimax theorems",1958,"https://doi.org/10.2140/pjm.1958.8.171",1],[2,-0.8056,0.2851,"Boundary regularity for solutions of degenerate elliptic equations",1988,"https://doi.org/10.1016/0362-546x(88)90053-3",1],[2,0.6588,0.0394,"Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming",1995,"https://doi.org/10.1145/227683.227684",3],[2,-0.273,-0.7224,"On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations",1998,"https://doi.org/10.1215/s0012-7094-98-09311-5",1],[2,0.4791,-0.6402,"Bloch’s conjecture for Inoue surfaces with $p_g=0$, $K^2 = 7$",2014,"https://doi.org/10.1090/s0002-9939-2014-12246-5",1],[2,-0.2487,0.5968,"Exact critical behavior of a random bond two-dimensional Ising model",1987,"https://doi.org/10.1103/physrevlett.58.2466",3],[2,0.2395,-0.5984,"$B$-structures on $G$-bundles and local triviality",1995,"https://doi.org/10.4310/mrl.1995.v2.n6.a13",3],[2,0.8093,0.0532,"On the optimality of the random hyperplane rounding technique for MAX CUT",2002,"https://doi.org/10.1002/rsa.10036",1],[2,0.7813,0.2326,"On the Complexity of k-SAT",2001,"https://doi.org/10.1006/jcss.2000.1727",1],[2,0.4572,-0.4782,"Introduction to the Minimal Model Problem",2018,"https://doi.org/10.2969/aspm/01010283",5],[2,-0.0558,0.6577,"On Plethysm conjectures of Stanley and Foulkes",2008,"https://doi.org/10.1016/j.jalgebra.2007.12.003",2],[2,-0.1074,0.7477,"Morita equivalence for blocks of finite general linear groups",1996,"https://doi.org/10.1007/bf02567944",1],[2,0.494,-0.4365,"The Hartogs-type extension theorem for meromorphic maps into compact K�hler manifolds",1992,"https://doi.org/10.1007/bf01232018",2],[2,0.8338,0.0467,"Correlation clustering in general weighted graphs",2006,"https://doi.org/10.1016/j.tcs.2006.05.008",1],[2,0.7177,-0.2797,"Experimental bounds for the universal integral means spectrum of conformal maps",1996,"https://doi.org/10.1080/17476939608814969",1],[2,0.3834,0.6404,"On Levels in Arrangements of Lines, Segments, Planes, and Triangles%",1998,"https://doi.org/10.1007/pl00009348",1],[2,0.5751,0.3342,"Transition graphs and the star-height of regular events.",1963,"https://doi.org/10.1307/mmj/1028998975",2],[2,0.2696,0.661,"Representations of Coxeter groups and Hecke algebras",1979,"https://doi.org/10.1007/bf01390031",1],[2,-0.2389,0.7582,"Gauge field theories on a lattice",1978,"https://doi.org/10.1016/0003-4916(78)90039-8",1],[2,-0.4894,-0.5713,"Heat Equations on Minimal Submanifolds and Their Applications",1984,"https://doi.org/10.2307/2374272",1],[2,0.6655,0.0516,"Boolean Functions With Low Average Sensitivity Depend On Few Coordinates",1998,"https://doi.org/10.1007/pl00009809",3],[2,0.7784,-0.0503,"The Ehrhard inequality",2003,"https://doi.org/10.1016/j.crma.2003.09.031",1],[2,-0.2756,-0.7032,"Stable constant mean curvature tori and the isoperimetric problem in three space forms",1992,"https://doi.org/10.1007/bf02566501",1],[2,-0.209,-0.8284,"Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density",2009,"https://doi.org/10.1002/mma.1191",1],[2,-0.0469,0.6584,"Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type",2012,"https://doi.org/10.1112/plms/pds062",2],[2,0.1834,-0.63,"Moments of the Riemann zeta function",2009,"https://doi.org/10.4007/annals.2009.170.981",2],[2,0.8496,0.1537,"Discrete Dynamic Programming",1962,"https://doi.org/10.1214/aoms/1177704593",1],[2,-0.4107,-0.6812,"Closed Ideals in the Ball Algebra",1989,"https://doi.org/10.1112/blms/21.5.469",1],[2,-0.1887,0.6406,"The exact mass gap of the O(3) and O(4) non-linear σ-models in d = 2",1990,"https://doi.org/10.1016/0370-2693(90)90685-y",3],[2,0.6149,-0.2277,"A proof of boundedness of the Carleson operator",2000,"https://doi.org/10.4310/mrl.2000.v7.n4.a1",2],[2,-0.4165,0.5818,"Refined conformal spectra in the dimer model",2012,"https://doi.org/10.1088/1742-5468/2012/10/p10002",1],[2,-0.173,-0.6221,"Determining anisotropic real‐analytic conductivities by boundary measurements",1989,"https://doi.org/10.1002/cpa.3160420804",2],[2,-0.1146,0.7413,"On Equivalences between Blocks of Group Algebras: Reduction to the Simple Components",1996,"https://doi.org/10.1006/jabr.1996.0265",1],[2,-0.2879,0.3464,"Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems",1991,"https://doi.org/10.1016/0097-3165(91)90058-o",2],[2,0.2461,-0.8058,"Diophantine properties of numbers related to Catalan's constant",2003,"https://doi.org/10.1007/s00208-003-0420-2",1],[2,-0.6803,-0.2169,"Cartier modules: Finiteness results",2011,"https://doi.org/10.1515/crelle.2011.087",1],[2,-0.2593,0.5848,"Exact Critical Point and Critical Exponents of O(n) Models in Two Dimensions",1982,"https://doi.org/10.1103/physrevlett.49.1062",6],[2,-0.0581,-0.8336,"C 1, α regularity for infinity harmonic functions in two dimensions",2008,"https://doi.org/10.1007/s00526-007-0143-4",1],[2,-0.7493,-0.229,"Phantom maps and homology theories",1998,"https://doi.org/10.1016/s0040-9383(97)00031-1",1],[2,-0.7647,0.3317,"D-Brane Bound States Redux",1998,"https://doi.org/10.1007/s002200050374",1],[2,0.3182,-0.5831,"Log canonical singularities are Du Bois",2010,"https://doi.org/10.1090/s0894-0347-10-00663-6",3],[2,-0.6179,0.4158,"Parabolic and quasiparabolic subgroups of free partially commutative groups",2007,"https://doi.org/10.1016/j.jalgebra.2007.08.032",1],[2,0.5851,-0.5164,"Topological types and multiplicities of isolated quasi-homogeneous surface singularities",1988,"https://doi.org/10.1090/s0273-0979-1988-15695-9",1],[2,-0.8566,0.1314,"Topological Sectors and a Dichotomy in Conformal Field Theory",2004,"https://doi.org/10.1007/s00220-004-1063-1",1],[2,0.4565,0.4639,"THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN",1973,"https://doi.org/10.1070/im1973v007n01abeh001932",2],[2,-0.3106,-0.6588,"K -theory and stable algebra",1964,"https://doi.org/10.1007/bf02684689",1],[2,0.0157,-0.6469,"Two theorems on modular curves",1973,"https://doi.org/10.1007/bf01078890",5],[2,0.6675,-0.4784,"Hyperkähler metrics and supersymmetry",1987,"https://doi.org/10.1007/bf01214418",1],[2,-0.4799,-0.329,"On the groups J(X)—IV",1966,"https://doi.org/10.1016/0040-9383(66)90004-8",3],[2,-0.6238,0.2266,"A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces",2013,"https://doi.org/10.1007/s00526-013-0695-4",2],[2,0.1488,-0.6378,"Hilbert's Inequality",1974,"https://doi.org/10.1112/jlms/s2-8.1.73",3],[2,-0.4117,0.626,"Monotonicity of uniqueness for percolation on Cayley graphs: all infinite clusters are born simultaneously",1999,"https://doi.org/10.1007/s004400050208",1],[2,0.629,0.5388,"Projections of semi-analytic sets",1968,"https://doi.org/10.1007/bf01075680",1],[2,0.0029,-0.7109,"OnL-functions of elliptic curves and cyclotomic towers",1984,"https://doi.org/10.1007/bf01388636",1],[2,-0.5841,0.4356,"Meyer vietoris sequences and module structures on NK",1981,"https://doi.org/10.1007/bfb0089534",1],[2,0.5834,-0.3124,"An improved bound for Kakeya type maximal functions",1995,"https://doi.org/10.4171/rmi/188",3],[2,0.7464,0.0951,"Brick decompositions and the matching rank of graphs",1982,"https://doi.org/10.1007/bf02579233",1],[2,0.3035,0.7391,"Sheaves on moment graphs and a localization of Verma flags",2007,"https://doi.org/10.1016/j.aim.2007.08.008",1],[2,-0.661,0.3134,"Continuity of spectral averaging",2010,"https://doi.org/10.1090/s0002-9939-2010-10629-9",1],[2,0.4365,-0.6942,"On global generation of adjoint linear systems",1999,"https://doi.org/10.1007/s002080050276",1],[2,-0.363,0.5421,"A Brownian-Motion Model for the Eigenvalues of a Random Matrix",1962,"https://doi.org/10.1063/1.1703862",2],[2,-0.8486,-0.0726,"The soft torus and applications to almost commuting matrices",1993,"https://doi.org/10.2140/pjm.1993.160.207",1],[2,-0.5679,0.4669,"Morse theory and finiteness properties of groups",1997,"https://doi.org/10.1007/s002220050168",1],[2,-0.2481,-0.6003,"The Bernstein problem for affine maximal hypersurfaces",2000,"https://doi.org/10.1007/s002220000059",2],[2,0.7968,-0.2967,"Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol",2000,"https://doi.org/10.1016/s0764-4442(00)00162-2",1],[2,-0.7956,-0.2423,"Noetherian Localisations of Categories of Cobordism Comodules",1985,"https://doi.org/10.2307/1971192",1],[2,0.0663,-0.1811,"THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS",1969,"https://doi.org/10.1070/im1969v003n06abeh000838",3],[2,0.6335,-0.5248,"Projective manifolds whose tangent bundles are numerically effective",1991,"https://doi.org/10.1007/bf01446566",1],[2,0.7403,0.3222,"A fast and unbiased procedure to randomize ecological binary matrices with fixed row and column totals",2014,"https://doi.org/10.1038/ncomms5114",1],[2,0.3352,0.5583,"On a special case of Hadwiger's conjecture",2003,"https://doi.org/10.7151/dmgt.1206",2],[2,-0.4885,-0.5351,"Stability of a surface-charged viscous jet in an electric field",1998,"https://doi.org/10.1007/bf02698699",1],[2,-0.0898,0.8053,"GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS",2012,"https://doi.org/10.1142/s0219498812500661",1],[2,-0.3725,-0.7059,"Automatic transversality and orbifolds of punctured holomorphic curves in dimension four",2010,"https://doi.org/10.4171/cmh/199",1],[2,0.2403,-0.6046,"The Margulis-Platonov conjecture for SL1,D and 2-generation of finite simple groups",2005,"https://doi.org/10.1007/s00209-005-0854-1",2],[2,0.793,0.3604,"A Decision-Theoretic Generalization of On-Line Learning and an Application to Boosting",1997,"https://doi.org/10.1006/jcss.1997.1504",1],[2,-0.7243,0.3458,"Spectral structure of Anderson type Hamiltonians",2000,"https://doi.org/10.1007/s002220000076",1],[2,-0.2944,0.8015,"On the extremality of the disordered state for the Ising model on the Bethe lattice",1996,"https://doi.org/10.1007/bf00416016",1],[2,0.1013,-0.6541,"On the Number of Primes in an Arithmetic Progression",1935,"https://doi.org/10.1112/plms/s2-39.1.116",2],[2,-0.2927,0.5737,"Combinatorial approach to the interpolation method and scaling limits in sparse random graphs",2013,"https://doi.org/10.1214/12-aop816",3],[2,0.7001,0.3604,"Rotations of Periodic Strings and Short Superstrings",1997,"https://doi.org/10.1006/jagm.1997.0861",1],[2,-0.8354,0.1793,"Information-capacity description of spin-chain correlations",2005,"https://doi.org/10.1103/physreva.71.032314",1],[2,-0.3603,0.651,"Free energy of the spherical mean field model",2005,"https://doi.org/10.1007/s00440-005-0433-8",1],[2,-0.5171,-0.2329,"Quelques propriétés globales des variétés différentiables",1954,"https://doi.org/10.1007/bf02566923",2],[2,0.5755,-0.5539,"On Some Finiteness Questions for Algebraic Stacks",2013,"https://doi.org/10.1007/s00039-012-0204-5",1],[2,0.7862,0.3783,"Optimal approximation for the submodular welfare problem in the value oracle model",2008,"https://doi.org/10.1145/1374376.1374389",1],[2,-0.6393,-0.3592,"A Thomason model structure on the category of smalln–fold categories",2010,"https://doi.org/10.2140/agt.2010.10.1933",1],[2,-0.2475,0.6845,"Invariant coupling of determinantal measures on sofic groups",2014,"https://doi.org/10.1017/etds.2014.70",1],[2,0.6216,0.3393,"Complementing two-way finite automata",2007,"https://doi.org/10.1016/j.ic.2007.01.008",1],[2,-0.5755,-0.4561,"Banach spaces which can be given an equivalent uniformly convex norm",1972,"https://doi.org/10.1007/bf02762802",1],[2,0.8695,0.0934,"Sparsest cuts and bottlenecks in graphs",1990,"https://doi.org/10.1016/0166-218x(90)90133-w",1],[2,-0.5506,0.5848,"The complexity of relational query languages (Extended Abstract)",1982,"https://doi.org/10.1145/800070.802186",1],[2,-0.2642,0.6003,"Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities",2009,"https://doi.org/10.1007/s00039-009-0001-y",3],[2,-0.0133,0.7234,"Shirshov’s theorem and division rings that are left algebraic over a subfield",2012,"https://doi.org/10.1016/j.jpaa.2012.11.015",1],[2,-0.2819,-0.604,"A survey of some recent developments in differential topology",1963,"https://doi.org/10.1090/s0002-9904-1963-10901-5",3],[2,0.6356,0.0855,"An FPTAS for #Knapsack and Related Counting Problems",2011,"https://doi.org/10.1109/focs.2011.32",2],[2,0.7551,-0.2754,"Lpestimates for the Hilbert transforms along a one-variable vector field",2013,"https://doi.org/10.2140/apde.2013.6.1577",1],[2,-0.3448,0.7092,"The Shape of the Limit Set in Richardson's Growth Model",1981,"https://doi.org/10.1214/aop/1176994460",1],[2,0.5144,-0.4026,"Quantum cohomology and free-field representation",1998,"https://doi.org/10.1016/s0550-3213(97)00730-x",2],[2,-0.0865,-0.7123,"Periodic nonlinear Schrödinger equation and invariant measures",1994,"https://doi.org/10.1007/bf02099299",1],[2,0.0049,-0.7823,"The critical values of certain zeta functions associated with modular forms of half-integral weight",1981,"https://doi.org/10.2969/jmsj/03340649",1],[2,-0.6799,0.4912,"The combinatorial Riemann mapping theorem",1994,"https://doi.org/10.1007/bf02398434",1],[2,0.4926,-0.427,"The Seifert matrices of Milnor fiberings defined by holomorphic functions",1974,"https://doi.org/10.2969/jmsj/02640714",2],[2,0.6172,0.3359,"Lower bounds on the size of sweeping automata",1980,"https://doi.org/10.1016/0022-0000(80)90034-3",1],[2,-0.3193,0.7914,"More on theO(n) model on random maps via nested loops: loops with bending energy",2012,"https://doi.org/10.1088/1751-8113/45/27/275206",1],[2,-0.3516,-0.5485,"Einstein manifolds with nonnegative isotropic curvature are locally symmetric",2009,"https://doi.org/10.1215/00127094-2009-061",2],[2,-0.702,0.3067,"L 2 -Cohomology of Hyperkähler Quotients",2000,"https://doi.org/10.1007/s002200050806",1],[2,-0.6421,-0.0234,"E-theory and KK-theory for groups which act properly and isometrically on Hilbert space",2001,"https://doi.org/10.1007/s002220000118",3],[2,-0.8518,-0.1136,"Derivations of W ∗ -Algebras",1966,"https://doi.org/10.2307/1970432",1],[2,-0.1253,0.833,"Cartan matrices and Morita equivalence for blocks of the symmetric groups",1991,"https://doi.org/10.1016/0021-8693(91)90319-4",1],[2,0.7002,0.1926,"Darboux coordinates and Liouville-Arnold integration in loop algebras",1993,"https://doi.org/10.1007/bf02097398",1],[2,0.3549,0.722,"A sum-product estimate in finite fields, and applications",2004,"https://doi.org/10.1007/s00039-004-0451-1",1],[2,-0.1253,-0.7165,"The gradient theory of phase transitions and the minimal interface criterion",1987,"https://doi.org/10.1007/bf00251230",1],[2,-0.3249,0.5515,"Large Deviations in the Free Energy of Mean-Field Spin Glasses",2008,"https://doi.org/10.1103/physrevlett.101.117205",2],[2,0.0437,0.7424,"Frobenius and multiplicities",1983,"https://doi.org/10.1016/0021-8693(83)90106-0",1],[2,-0.1357,-0.7227,"Partial regularity for a minimum problem with free boundary",1999,"https://doi.org/10.1007/bf02921941",1],[2,-0.8085,-0.0708,"Amenable ergodic group actions and an application to Poisson boundaries of random walks",1978,"https://doi.org/10.1016/0022-1236(78)90013-7",1],[2,-0.3347,0.5761,"Solution of 'Solvable model of a spin glass'",1977,"https://doi.org/10.1080/14786437708235992",2],[2,0.8539,-0.0317,"The Brunn-Minkowski inequality in Gauss space",1975,"https://doi.org/10.1007/bf01425510",1],[2,0.3596,0.7114,"A stability theorem for lines in Galois planes of prime order",2011,"https://doi.org/10.1007/s10623-011-9495-z",1],[2,-0.604,-0.2987,"Singular homology and cohomology with local coefficients and duality for manifolds",1993,"https://doi.org/10.2140/pjm.1993.160.165",2],[2,0.3571,-0.5552,"Log abundance theorem for threefolds",1994,"https://doi.org/10.1215/s0012-7094-94-07504-2",6],[2,0.8256,0.1321,"Problems complete for deterministic logarithmic space",1987,"https://doi.org/10.1016/0196-6774(87)90018-6",1],[2,-0.3898,-0.7564,"Seiberg–Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2–forms",1999,"https://doi.org/10.2140/gt.1999.3.167",1],[2,-0.3216,0.5602,"Replica trick and fluctuations in disordered systems",1992,"https://doi.org/10.1051/jp1:1992213",2],[2,-0.1149,0.7995,"Some Remarks on a Conjecture of Alperin",1989,"https://doi.org/10.1112/jlms/s2-39.1.48",1],[2,0.2498,-0.6165,"Finiteness of quotient groups of discrete subgroups",1979,"https://doi.org/10.1007/bf01077485",2],[2,0.2102,0.6318,"Thresholds and Expectation Thresholds",2007,"https://doi.org/10.1017/s0963548307008474",3],[2,0.0178,-0.112,"Algebraic approximation of structures over complete local rings",1969,"https://doi.org/10.1007/bf02684596",6],[2,-0.5983,0.2934,"Improved lower bound on the thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet",1993,"https://doi.org/10.1007/bf00739568",4],[2,-0.1095,0.8148,"Central ideals and Cartan invariants of symmetric algebras",2005,"https://doi.org/10.1016/j.jalgebra.2005.01.052",1],[2,0.3917,-0.5827,"UNIPOTENT GROUP SCHEMES OVER INTEGRAL RINGS",1974,"https://doi.org/10.1070/im1974v008n04abeh002127",1],[2,0.6702,0.309,"Streaming Algorithms via Precision Sampling",2011,"https://doi.org/10.1109/focs.2011.82",1],[2,-0.5778,-0.2698,"Subexponential groups in 4–manifold topology",2000,"https://doi.org/10.2140/gt.2000.4.407",2],[2,0.6781,-0.2564,"A polynomial bound in Freiman's theorem",2002,"https://doi.org/10.1215/s0012-7094-02-11331-3",1],[2,0.0476,-0.7395,"The Frobenius and monodromy operators for curves and abelian varieties",1999,"https://doi.org/10.1215/s0012-7094-99-09708-9",1],[2,0.1507,-0.6517,"Hyperbolic distribution problems and half-integral weight Maass forms",1988,"https://doi.org/10.1007/bf01393993",3],[2,0.0305,-0.7942,"A modular construction of unramifiedp-extensions ofQ(? p )",1976,"https://doi.org/10.1007/bf01403065",1],[2,0.5194,-0.4821,"Kazhdan quotients of Golod-Shafarevich groups",2010,"https://doi.org/10.1112/plms/pdq022",1],[2,-0.6281,0.168,"Zero modes, bosonization, and topological quantum order: The Laughlin state in second quantization",2015,"https://doi.org/10.1103/physrevb.91.085115",2],[2,0.4445,0.4609,"Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems",2013,"https://doi.org/10.1137/100812355",2],[2,-0.198,0.6211,"Estimates of critical lengths and critical temperatures for classical and quantum lattice systems",1979,"https://doi.org/10.1007/bf01011509",2],[2,0.7524,0.1802,"Computation of Convolutions and Discrete Fourier Transforms by Polynomial Transforms",1978,"https://doi.org/10.1147/rd.222.0134",1],[2,-0.2318,0.7478,"Off shell dynamics of the O(3) NLS model beyond Monte Carlo and perturbation theory",1997,"https://doi.org/10.1016/s0550-3213(97)00314-3",1],[2,-0.6453,0.1662,"Geometric aspects of quantum spin states",1994,"https://doi.org/10.1007/bf02108805",2],[2,-0.1327,0.7867,"Generators, relations and coverings of algebraic groups, II",1981,"https://doi.org/10.1016/0021-8693(81)90193-9",1],[2,-0.7465,0.1804,"Simple unified form for the major no-hidden-variables theorems",1990,"https://doi.org/10.1103/physrevlett.65.3373",1],[2,-0.0548,0.7608,"Tensor products of unipotent characters of general linear groups over finite fields",2013,"https://doi.org/10.1007/s00031-013-9211-3",1],[2,0.4097,-0.4903,"Weak semistable reduction in characteristic 0",2000,"https://doi.org/10.1007/s002229900024",5],[2,0.0453,0.1621,"The Jackknife Estimate of Variance",1981,"https://doi.org/10.1214/aos/1176345462",9],[2,-0.3032,-0.5635,"Generic Properties of Eigenfunctions",1976,"https://doi.org/10.2307/2374041",2],[2,-0.7575,-0.1513,"Simplicity of the C∗-algebra associated with the free group on two generators",1975,"https://doi.org/10.1215/s0012-7094-75-04213-1",1],[2,-0.2194,0.6062,"Critical behavior of the two-dimensional random q-state Potts model by expansion in (q − 2)",1987,"https://doi.org/10.1016/0550-3213(87)90330-0",3],[2,-0.7096,-0.0314,"Arithmetic subgroups of algebraic groups",1961,"https://doi.org/10.1090/s0002-9904-1961-10699-x",1],[2,0.2324,0.8409,"Randomized minimum spanning tree algorithms using exponentially fewer random bits",2008,"https://doi.org/10.1145/1328911.1328916",1],[2,0.6599,0.5663,"Centennial History of Hilbert's 16th Problem",2002,"https://doi.org/10.1090/s0273-0979-02-00946-1",1],[2,0.4475,-0.6687,"On the cancellation problem for the affine space $\\mathbb{A}^{3}$ in characteristic p",2013,"https://doi.org/10.1007/s00222-013-0455-2",1],[2,0.57,-0.4582,"The transcendental lattice of the sextic Fermat surface",2013,"https://doi.org/10.4310/mrl.2013.v20.n6.a2",1],[2,-0.6096,0.1991,"Error estimates for Gaussian beam superpositions",2012,"https://doi.org/10.1090/s0025-5718-2012-02656-1",3],[2,0.1399,-0.6427,"Some effective cases of the Brauer-Siegel Theorem",1974,"https://doi.org/10.1007/bf01405166",3],[2,-0.7337,-0.0453,"Amalgamated free product over Cartan subalgebra",1999,"https://doi.org/10.2140/pjm.1999.191.359",1],[2,0.3322,0.6257,"Sárközy's theorem for P-intersective polynomials",2012,"https://doi.org/10.4064/aa157-1-4",1],[2,0.5748,-0.6163,"HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES",1979,"https://doi.org/10.1070/im1979v013n03abeh002076",1],[2,-0.6223,0.4791,"The Module Type of a Ring",1962,"https://doi.org/10.1090/s0002-9947-1962-0132764-x",1],[2,0.028,-0.6572,"The ?main conjectures? of iwasawa theory for imaginary quadratic fields",1991,"https://doi.org/10.1007/bf01239508",2],[2,0.8167,-0.0165,"The plank problem for symmetric bodies",1991,"https://doi.org/10.1007/bf01245089",1],[2,-0.4619,-0.6635,"Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations",2013,"https://doi.org/10.1090/s0002-9939-2013-11661-8",1],[2,-0.7422,0.4619,"Categories and cohomology theories",1974,"https://doi.org/10.1016/0040-9383(74)90022-6",1],[2,-0.6276,0.2242,"Penrose Type Inequalities for Asymptotically Hyperbolic Graphs",2012,"https://doi.org/10.1007/s00023-012-0218-4",2],[2,-0.1766,-0.6138,"On determining a Riemannian manifold from the Dirichlet-to-Neumann map",2001,"https://doi.org/10.1016/s0012-9593(01)01076-x",2],[2,-0.593,0.4001,"Artin groups of large type are shortlex automatic with regular geodesics",2011,"https://doi.org/10.1112/plms/pdr035",1],[2,-0.4121,-0.5966,"Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem",2007,"https://doi.org/10.1112/plms/pdm050",1],[2,0.4835,0.1101,"On Calderon's Conjecture",1999,"https://doi.org/10.2307/120971",2],[2,-0.6429,-0.0148,"λ1, Isoperimetric inequalities for graphs, and superconcentrators",1985,"https://doi.org/10.1016/0095-8956(85)90092-9",2],[2,-0.8154,0.2716,"Quasilocality and Efficient Simulation of Markovian Quantum Dynamics",2012,"https://doi.org/10.1103/physrevlett.108.230504",1],[2,0.2096,-0.7348,"On the Asymptotic Distribution of Large Prime Factors",1993,"https://doi.org/10.1112/jlms/s2-47.3.395",1],[2,0.11,-0.7659,"A divisor problem",1930,"https://doi.org/10.1007/bf03021203",1],[2,0.4494,0.4816,"Ergodicity of Billiard Flows and Quadratic Differentials",1986,"https://doi.org/10.2307/1971280",2],[2,-0.239,0.6224,"Reconstruction on Trees: Beating the Second Eigenvalue",2001,"https://doi.org/10.1214/aoap/998926994",2],[2,-0.7374,0.2404,"Continuity of quantum conditional information",2004,"https://doi.org/10.1088/0305-4470/37/5/l01",1],[2,-0.0368,0.8106,"Upper bounds for the betti numbers of a given hilbert function",1993,"https://doi.org/10.1080/00927879308824679",1],[2,-0.5816,0.4902,"Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings",1997,"https://doi.org/10.1007/bf02698902",1],[2,0.0196,-0.6567,"Nonvanishing theorems for L-functions of modular forms and their derivatives",1990,"https://doi.org/10.1007/bf01233440",2],[2,-0.1075,-0.7271,"Caratheodory interpolation kernels",1992,"https://doi.org/10.1007/bf01193766",1],[2,0.4461,-0.7016,"On the existence of plane curves with imposed multiple points",2001,"https://doi.org/10.1016/s0022-4049(99)00116-4",1],[2,0.4346,-0.4851,"ON THE VOLUME OF A LINE BUNDLE",2002,"https://doi.org/10.1142/s0129167x02001575",2],[2,-0.7052,0.4797,"K(π, 1) and word problems for infinite type Artin–Tits groups, and applications to virtual braid groups",2012,"https://doi.org/10.1007/s00209-012-0989-9",1],[2,-0.3327,0.5595,"Matrix models for beta ensembles",2002,"https://doi.org/10.1063/1.1507823",2],[2,-0.3025,0.7128,"Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions",1980,"https://doi.org/10.1016/0047-259x(80)90065-2",1],[2,0.3416,0.7275,"The Ramsey number of the clique and the hypercube",2014,"https://doi.org/10.1112/jlms/jdu004",1],[2,-0.2201,0.7259,"On the symmetry of the Gibbs states in two dimensional lattice systems",1981,"https://doi.org/10.1007/bf01942060",1],[2,-0.2248,0.734,"Approximations of the Brownian rough path with applications to stochastic analysis",2004,"https://doi.org/10.1016/j.anihpb.2004.05.003",1],[2,0.7152,-0.4643,"On surfaces of class VII + 0 with numerically anticanonical divisor",2006,"https://doi.org/10.1353/ajm.2006.0021",1],[2,-0.1606,-0.6328,"Regularity of the moments of the solution of a Transport Equation",1988,"https://doi.org/10.1016/0022-1236(88)90051-1",2],[2,0.6315,0.2021,"Lower Bounds for Existential Pebble Games and k-Consistency Tests",2013,"https://doi.org/10.2168/lmcs-9(4:2)2013",2],[2,-0.087,0.5499,"On the critical percolation probabilities",1981,"https://doi.org/10.1007/bf00535742",2],[2,0.39,-0.7084,"The indices of log canonical singularities",2001,"https://doi.org/10.1353/ajm.2001.0010",1],[2,-0.5863,0.609,"Injectivity, Projectivity, and the Axiom of Choice",1979,"https://doi.org/10.1090/s0002-9947-1979-0542870-6",1],[2,-0.1694,0.7043,"Quantum group symmetries in two-dimensional lattice quantum field theory",1991,"https://doi.org/10.1016/0550-3213(91)90608-z",1],[2,-0.3577,-0.5496,"Certificates of Positivity in the Bernstein Basis",2007,"https://doi.org/10.1007/s00454-007-9042-x",2],[2,-0.6067,0.2405,"Thomas-fermi and related theories of atoms and molecules",1981,"https://doi.org/10.1103/revmodphys.53.603",2],[2,-0.0398,0.8621,"Generic Initial Ideals and Distractions",2005,"https://doi.org/10.1081/agb-200058217",1],[2,-0.6497,0.2907,"Witten index and threshold bound states of D-branes",1997,"https://doi.org/10.1016/s0550-3213(97)00486-0",1],[2,0.7534,0.1272,"An O (log( n ) 4/3 ) space algorithm for ( s, t ) connectivity in undirected graphs",2000,"https://doi.org/10.1145/333979.333984",1],[2,0.1417,-0.7623,"Ein Satz �ber die Primzahlmenge",1954,"https://doi.org/10.1007/bf01187376",1],[2,-0.6108,0.1772,"Computing sum of squares decompositions with rational coefficients",2008,"https://doi.org/10.1016/j.tcs.2008.09.025",2],[2,-0.6391,-0.1898,"Sur la dimension cohomologique des groupes profinis",1965,"https://doi.org/10.1016/0040-9383(65)90006-6",2],[2,-0.5963,0.4543,"The topology of discrete groups",1980,"https://doi.org/10.1016/0022-4049(80)90040-7",1],[2,0.626,0.5379,"Slow divergence integral and its application to classical Liénard equations of degree 5",2014,"https://doi.org/10.1016/j.jde.2014.08.015",1],[2,-0.6072,0.2522,"Proof of Bose-Einstein Condensation for Dilute Trapped Gases",2002,"https://doi.org/10.1103/physrevlett.88.170409",5],[2,0.8399,0.0867,"Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut",2011,"https://doi.org/10.1137/080729256",1],[2,-0.6145,0.2424,"Lieb-Thirring Bounds for Interacting Bose Gases",2015,"https://doi.org/10.1007/s00220-014-2278-4",2],[2,0.7732,0.2138,"Geometric Complexity Theory II: Towards Explicit Obstructions for Embeddings among Class Varieties",2008,"https://doi.org/10.1137/080718115",1],[2,-0.0853,-0.7892,"Remarks on a Multivariate Transformation",1952,"https://doi.org/10.1214/aoms/1177729394",1],[2,0.3644,0.6492,"On Hamiltonian Circuits",1946,"https://doi.org/10.1112/jlms/s1-21.2.98",1],[2,0.6378,0.1849,"Which Problems Have Strongly Exponential Complexity?",2001,"https://doi.org/10.1006/jcss.2001.1774",2],[2,0.053,-0.7269,"The Elementary Theory of Restricted Analytic Fields with Exponentiation",1994,"https://doi.org/10.2307/2118545",1],[2,0.2024,-0.7962,"Polylogarithmic Independence Can Fool DNF Formulas",2009,"https://doi.org/10.1137/070691954",1],[2,0.5732,-0.0851,"A Mathematical Theory of Communication",1948,"https://doi.org/10.1002/j.1538-7305.1948.tb01338.x",2],[2,0.4733,-0.4383,"Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds",2000,"https://doi.org/10.4310/mrl.2000.v7.n4.a4",2],[2,-0.1869,0.6972,"Twisted boundary conditions and effective mass in Heisenberg-Ising and Hubbard rings",1990,"https://doi.org/10.1103/physrevlett.65.243",1],[2,0.6273,0.1369,"Historical notes on the fast Fourier transform",1967,"https://doi.org/10.1109/proc.1967.5959",2],[2,-0.4953,0.5081,"Adding dependent choice",1977,"https://doi.org/10.1016/0003-4843(77)90011-0",1],[2,0.7231,0.0723,"On the Asymptotic Behaviour of Some Towers of Function Fields over Finite Fields",1996,"https://doi.org/10.1006/jnth.1996.0147",1],[2,0.3906,-0.5089,"Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities",2013,"https://doi.org/10.1090/s1056-3911-2013-00617-7",2],[2,0.4039,-0.4906,"Algebraic varieties with quasi-projective universal cover",2012,"https://doi.org/10.1515/crelle.2012.017",3],[2,-0.7692,0.2658,"Gravitational energy in spherical symmetry",1996,"https://doi.org/10.1103/physrevd.53.1938",1],[2,-0.036,0.7127,"The structure of the group ring of a 𝑝-group over a modular field",1941,"https://doi.org/10.1090/s0002-9947-1941-0004626-6",1],[2,0.7687,0.1604,"On the asymptotic complexity of rectangular matrix multiplication",1983,"https://doi.org/10.1016/0304-3975(83)90054-3",1],[2,-0.2369,0.6245,"Broadcasting on trees and the Ising model",2000,"https://doi.org/10.1214/aoap/1019487349",4],[2,0.5159,-0.635,"The Zariski–Lipman conjecture for complete intersections",2011,"https://doi.org/10.1016/j.jalgebra.2011.05.003",1],[2,-0.4892,-0.6655,"An isoperimetric comparison theorem",1992,"https://doi.org/10.1007/bf02100598",1],[2,-0.4597,-0.5723,"Localization and tensorization properties of the curvature-dimension condition for metric measure spaces",2010,"https://doi.org/10.1016/j.jfa.2010.03.024",1],[2,-0.2195,-0.7735,"Continuity properties of Neumann-to-Dirichlet maps with respect to the H -convergence of the coefficient matrices",2015,"https://doi.org/10.1088/0266-5611/31/4/045002",1],[2,-0.34,0.5595,"Mixing Time Bounds via the Spectral Profile",2006,"https://doi.org/10.1214/ejp.v11-300",2],[2,-0.7412,-0.0882,"Generators of II_1 factors",2008,"https://doi.org/10.7153/oam-02-35",1],[2,-0.3185,0.6667,"The statistical mechanics of stretched polymers",2010,"https://doi.org/10.1214/09-bjps031",1],[2,0.5013,0.6898,"Combinatorial Theorems on Classifications of Subsets of a Given Set",1952,"https://doi.org/10.1112/plms/s3-2.1.417",1],[2,-0.4299,-0.4718,"The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature",1980,"https://doi.org/10.1002/cpa.3160330206",2],[2,-0.2083,0.8116,"Normalization sum for the Bethe's hypothesis wave functions of the Heisenberg-Ising chain",1981,"https://doi.org/10.1103/physrevd.23.417",1],[2,0.5115,0.6616,"On Triples in Arithmetic Progression",1999,"https://doi.org/10.1007/s000390050105",1],[2,-0.2293,0.6671,"An upper bound on the number of high-dimensional permutations",2014,"https://doi.org/10.1007/s00493-011-2842-8",1],[2,-0.6526,-0.0384,"Dimension functions on simpleC*-algebras",1978,"https://doi.org/10.1007/bf01421922",3],[2,0.4826,-0.5938,"On the Zariski-Lipman Conjecture for normal algebraic surfaces",2014,"https://doi.org/10.1112/jlms/jdu021",1],[2,-0.0348,-0.0563,"An elementary proof of the Cheeger-Gromoll splitting theorem",1984,"https://doi.org/10.1007/bf01876506",2],[2,-0.7197,0.3467,"On the Product of Semi-Groups of Operators",1959,"https://doi.org/10.1090/s0002-9939-1959-0108732-6",1],[2,0.3182,-0.5334,"Variation of hodge structure: The singularities of the period mapping",1973,"https://doi.org/10.1007/bf01389674",9],[2,-0.6045,-0.4761,"Trees and Markov Convexity",2008,"https://doi.org/10.1007/s00039-008-0689-0",1],[2,0.746,-0.2619,"Multi-parameter singular Radon transforms III: Real analytic surfaces",2012,"https://doi.org/10.1016/j.aim.2011.11.016",1],[2,-0.3314,0.6584,"Hierarchical exchangeability of pure states in mean field spin glass models",2014,"https://doi.org/10.1007/s00440-014-0555-y",1],[2,0.6078,-0.5462,"Topological type in families of germs",1980,"https://doi.org/10.1007/bf01391660",1],[2,-0.8245,-0.2874,"The Factorial Function and Generalizations",2000,"https://doi.org/10.1080/00029890.2000.12005273",1],[2,0.4587,-0.5463,"A superharmonic proof of the M. Riesz conjugate function theorem",1984,"https://doi.org/10.1007/bf02384381",1],[2,-0.0201,0.7289,"Torsion-free group without unique product property",1987,"https://doi.org/10.1016/0021-8693(87)90125-6",1],[2,0.6992,-0.5122,"Every Stein subvariety admits a Stein neighborhood",1976,"https://doi.org/10.1007/bf01390170",1],[2,0.2591,0.5976,"On the size of Kakeya sets in finite fields",2008,"https://doi.org/10.1090/s0894-0347-08-00607-3",2],[2,-0.0663,0.7651,"Some Computations Regarding Foulkes' Conjecture",2005,"https://doi.org/10.1080/10586458.2005.10128928",1],[2,-0.2517,0.814,"Renormalization group approach to lattice gauge field theories",1987,"https://doi.org/10.1007/bf01215223",1],[2,-0.3565,-0.5538,"Harmonic Functions on Manifolds",1997,"https://doi.org/10.2307/2952459",2],[2,-0.6159,-0.1826,"K(n)-localization of theK(n+ 1)-localEn+1-Adams spectral sequences",2011,"https://doi.org/10.2140/pjm.2011.250.439",2],[2,-0.5246,0.5734,"Register machine proof of the theorem on exponential diophantine representation of enumerable sets",1984,"https://doi.org/10.2307/2274135",1],[2,-0.8022,-0.0638,"Amenable Actions of Groups",1994,"https://doi.org/10.1090/s0002-9947-1994-1250814-5",1],[2,0.4528,0.6135,"Finite sums from sequences within cells of a partition of N",1974,"https://doi.org/10.1016/0097-3165(74)90023-5",1],[2,-0.3353,0.7128,"Anisotropic self-avoiding walks",2000,"https://doi.org/10.1063/1.533189",1],[2,0.0519,0.7371,"Intersection multiplicity of Serre in the unramified case",2015,"https://doi.org/10.1016/j.jalgebra.2014.12.040",1],[2,0.0992,-0.8108,"On Dominance and Varieties of Commuting Matrices",1961,"https://doi.org/10.2307/1970336",1],[2,-0.504,-0.6159,"Regularity of optimal transport maps on multiple products of spheres",2013,"https://doi.org/10.4171/jems/388",1],[2,-0.0504,0.8168,"Infinite root systems, representations of graphs and invariant theory, II",1982,"https://doi.org/10.1016/0021-8693(82)90105-3",1],[2,-0.3412,0.6479,"Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses",2004,"https://doi.org/10.1007/s10955-004-5704-8",1],[2,-0.4416,-0.5947,"Local smooth isometric embeddings of low-dimensional Riemannian manifolds into Euclidean spaces",1989,"https://doi.org/10.1090/s0002-9947-1989-0992597-8",1],[2,-0.0762,-0.7793,"Contributions to the theory of convex bodies.",1957,"https://doi.org/10.1307/mmj/1028990175",1],[2,0.7478,0.1211,"Word problems requiring exponential time(Preliminary Report)",1973,"https://doi.org/10.1145/800125.804029",1],[2,-0.5986,0.4231,"One-relator groups with torsion are conjugacy separable",2013,"https://doi.org/10.1016/j.jalgebra.2013.02.015",1],[2,-0.7357,-0.3703,"Knot Floer homology and rational surgeries",2010,"https://doi.org/10.2140/agt.2011.11.1",1],[2,-0.6739,0.2915,"D -Particle Bound States and Generalized Instantons",2000,"https://doi.org/10.1007/s002200050016",1],[2,0.203,-0.2128,"Metric spaces and positive definite functions",1938,"https://doi.org/10.1090/s0002-9947-1938-1501980-0",2],[2,-0.7266,0.2207,"UNITARY OPERATOR BASES",1960,"https://doi.org/10.1073/pnas.46.4.570",1],[2,-0.6269,0.228,"A counterexample to a recent version of the Penrose conjecture",2010,"https://doi.org/10.1088/0264-9381/27/6/062001",4],[2,-0.1793,-0.6842,"The \"Two and One-Half Dimensional\" Relativistic Vlasov Maxwell System",1997,"https://doi.org/10.1007/s002200050090",1],[2,0.7022,0.0682,"Explicit construction of linear sized tolerant networks",1988,"https://doi.org/10.1016/0012-365x(88)90189-6",1],[2,0.2062,-0.569,"Pour une théorie inconditionnelle des motifs",1996,"https://doi.org/10.1007/bf02698643",2],[2,-0.2141,0.6252,"Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras",1987,"https://doi.org/10.1016/0001-8708(87)90007-7",4],[2,0.6827,0.1634,"The Exponentially Convergent Trapezoidal Rule",2014,"https://doi.org/10.1137/130932132",1],[2,0.3228,0.6651,"Covering all points except one",2009,"https://doi.org/10.1007/s10801-009-0204-1",1],[2,0.3152,-0.5854,"Abundance theorem for semi log canonical threefolds",2000,"https://doi.org/10.1215/s0012-7094-00-10237-2",5],[2,-0.5228,0.7009,"Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions",2008,"https://doi.org/10.1137/070700413",1],[2,0.6284,-0.0878,"Notes on two lemmas concerning the Epstein zeta-function",1964,"https://doi.org/10.1017/s2040618500035036",3],[2,-0.1955,0.6306,"Disagreement Percolation in the Study of Markov Fields",1994,"https://doi.org/10.1214/aop/1176988728",2],[2,0.3404,-0.5326,"Extension theorems, non-vanishing and the existence of good minimal models",2013,"https://doi.org/10.1007/s11511-013-0094-x",3],[2,0.3884,-0.6014,"Ciliberto–Miranda degenerations of CP2 blown up in 10 points",2010,"https://doi.org/10.1016/j.jpaa.2010.06.016",1],[2,0.0513,-0.8503,"Deforming Galois Representations and the Conjectures of Serre and Fontaine-Mazur",2002,"https://doi.org/10.2307/3597186",1],[2,0.7142,-0.2685,"POINTWISE CONVERGENCE OF FOURIER SERIES",2002,"https://doi.org/10.1112/s0024610701002824",1],[2,-0.8366,0.2356,"Formalism for the quantum Hall effect: Hilbert space of analytic functions",1984,"https://doi.org/10.1103/physrevb.29.5617",1],[2,0.8556,0.1073,"Counting 1-Factors in Regular Bipartite Graphs",1998,"https://doi.org/10.1006/jctb.1997.1798",1],[2,0.5696,-0.6297,"Ample vector bundles",1966,"https://doi.org/10.1007/bf02684806",1],[2,0.4485,-0.4946,"Some Theorems on Actions of Algebraic Groups",1973,"https://doi.org/10.2307/1970915",6],[2,0.6848,-0.2508,"On Petermichl's dyadic shift and the Hilbert transform",2008,"https://doi.org/10.1016/j.crma.2008.09.021",1],[2,0.0108,-0.7848,"Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip",2000,"https://doi.org/10.1515/crll.2000.074",1],[2,0.3137,0.6411,"A Comment on Ryser’s Conjecture for Intersecting Hypergraphs",2009,"https://doi.org/10.1007/s00373-008-0821-9",1],[2,0.3915,-0.5282,"Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné",1966,"https://doi.org/10.5802/aif.226",3],[2,0.572,-0.2982,"A restriction estimate using polynomial partitioning",2015,"https://doi.org/10.1090/jams827",4],[2,0.0834,0.5628,"Weighted sums of certain dependent random variables",1967,"https://doi.org/10.2748/tmj/1178243286",7],[2,-0.6234,0.4901,"Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator",2011,"https://doi.org/10.1016/j.jpaa.2011.06.020",1],[2,0.6981,-0.4597,"Instantons and curves on class VII surfaces",2010,"https://doi.org/10.4007/annals.2010.172.1749",1],[2,-0.7398,0.3539,"The probability of long cycles in interchange processes",2013,"https://doi.org/10.1215/00127094-2266018",1],[2,-0.2533,-0.6526,"Gitterperiodische Punktmengen und Isoperimetrie",1972,"https://doi.org/10.1007/bf01297304",1],[2,-0.4339,-0.6544,"The Logarithmic Sobolev and Sobolev Inequalities Along the Ricci Flow",2015,"https://doi.org/10.1007/s40304-015-0046-1",1],[2,0.6908,-0.4605,"Formal functions and formal embeddings",1968,"https://doi.org/10.2969/jmsj/02010052",1],[2,-0.0396,0.7244,"Cayley-Bacharach theorems and conjectures",1996,"https://doi.org/10.1090/s0273-0979-96-00666-0",1],[2,-0.424,-0.6417,"Desingularisation de metriques d'Einstein. II",2013,"https://doi.org/10.1007/s00222-012-0410-7",1],[2,0.7652,-0.3808,"On a question of Erdős and Moser",2005,"https://doi.org/10.1215/s0012-7094-04-12915-x",1],[2,-0.4656,0.6801,"On the free convolution with a semi-circular distribution",1997,"https://doi.org/10.1512/iumj.1997.46.1467",1],[2,-0.6129,0.2036,"Exponential Decay of Correlations Implies Area Law",2014,"https://doi.org/10.1007/s00220-014-2213-8",2],[2,-0.0454,0.7994,"Inverse System of a Symbolic Power, I",1995,"https://doi.org/10.1006/jabr.1995.1168",1],[2,-0.1212,-0.6334,"A proof of the generalized Schoenflies theorem",1960,"https://doi.org/10.1090/s0002-9904-1960-10400-4",2],[2,-0.2422,0.7827,"Normal fluctuations and the FKG inequalities",1980,"https://doi.org/10.1007/bf01197754",1],[2,0.6178,0.5576,"Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map",2014,"https://doi.org/10.1007/s00220-014-1932-1",1],[2,-0.1233,0.7902,"ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK",1959,"https://doi.org/10.1073/pnas.45.3.361",1],[2,-0.2287,0.6069,"Reconstruction on Trees and Spin Glass Transition",2006,"https://doi.org/10.1007/s10955-006-9162-3",3],[2,0.4486,0.4671,"Ergodicity of billiards in polygons",1997,"https://doi.org/10.1070/sm1997v188n03abeh000211",2],[2,-0.6002,0.4373,"On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions",1981,"https://doi.org/10.1515/9781400881550-035",1],[2,-0.6138,0.6201,"Weak normalization implies strong normalization in a class of non-dependent pure type systems",2001,"https://doi.org/10.1016/s0304-3975(01)00012-3",1],[2,-0.569,-0.5024,"Image numérique, GMRES et polynômes de Faber",2005,"https://doi.org/10.1016/j.crma.2005.04.027",1],[2,0.6586,-0.2608,"On the Integral means of the Derivative of a Univalent Function, II",1985,"https://doi.org/10.1112/blms/17.6.565",1],[2,0.463,-0.6708,"Embeddings of Hypersurfaces in Affine Spaces",2001,"https://doi.org/10.1006/jabr.2000.8677",1],[2,-0.359,0.7463,"Limiting geodesics for first-passage percolation on subsets of $\\mathbb{Z}^{2}$",2014,"https://doi.org/10.1214/13-aap999",1],[2,0.0292,-0.0236,"CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY",1977,"https://doi.org/10.1070/rm1977v032n04abeh001639",2],[2,0.4038,-0.5923,"Triangular monomial derivations on k[X1,X2,X3,X4] have kernel generated by at most four elements",2000,"https://doi.org/10.1016/s0022-4049(99)00084-5",1],[2,0.8598,-0.1518,"A Lower Bound on the Distortion of Embedding Planar Metrics into Euclidean Space",2002,"https://doi.org/10.1007/s00454-002-2813-5",1],[2,-0.7834,0.3651,"CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS",1962,"https://doi.org/10.1073/pnas.48.3.356",1],[2,-0.4487,0.7165,"New bounds in some transference theorems in the geometry of numbers",1993,"https://doi.org/10.1007/bf01445125",1],[2,0.2988,0.7675,"A Symmetric Function Generalization of the Chromatic Polynomial of a Graph",1995,"https://doi.org/10.1006/aima.1995.1020",1],[2,0.0476,-0.7274,"Sui gruppi di sostituzioni lineari con coefficienti appartenenti a corpi quadratici immaginar�",1892,"https://doi.org/10.1007/bf01443558",1],[2,0.2759,0.6726,"KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN",2006,"https://doi.org/10.1017/s1474748007000023",1],[2,-0.326,0.5585,"Aging of spherical spin glasses",2001,"https://doi.org/10.1007/pl00008774",2],[2,0.5566,0.4753,"Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations",1985,"https://doi.org/10.1070/rm1985v040n06abeh003701",1],[2,-0.0448,0.7495,"Godeaux–Serre varieties and the étale index",2013,"https://doi.org/10.1017/is013003003jkt220",1],[2,0.4785,-0.4263,"Constant milnor number implies constant multiplicity for quasihomogeneous singularities",1986,"https://doi.org/10.1007/bf01172153",2],[2,-0.3234,0.5862,"Optimal storage properties of neural network models",1988,"https://doi.org/10.1088/0305-4470/21/1/031",3],[2,0.0268,-0.6626,"Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques",1971,"https://doi.org/10.1007/bf01405086",4],[2,0.5266,-0.4068,"Virasoro constraints for target curves",2005,"https://doi.org/10.1007/s00222-005-0455-y",2],[2,-0.8298,0.1806,"Sending classical information via noisy quantum channels",1997,"https://doi.org/10.1103/physreva.56.131",1],[2,0.405,0.6703,"Halving lines and measure concentration in the plane",2009,"https://doi.org/10.1145/1542362.1542393",1],[2,0.1347,0.1255,"On functions of bounded mean oscillation",1961,"https://doi.org/10.1002/cpa.3160140317",2],[2,0.0192,0.8146,"Finitistic dimensions of finite dimensional monomial algebras",1991,"https://doi.org/10.1016/0021-8693(91)90062-d",1],[2,-0.8644,0.028,"C∗-algebras of real rank zero",1991,"https://doi.org/10.1016/0022-1236(91)90056-b",1],[2,0.0907,-0.7868,"Fuchsian groups, finite simple groups and representation varieties",2004,"https://doi.org/10.1007/s00222-004-0390-3",1],[2,0.4331,0.6035,"Two combinatorial theorems on arithmetic progressions",1962,"https://doi.org/10.1215/s0012-7094-62-02914-9",1],[2,0.0076,0.6579,"The spectral sequence relating algebraic K-theory to motivic cohomology",2002,"https://doi.org/10.1016/s0012-9593(02)01109-6",2],[2,0.4847,-0.6352,"Tilting in abelian categories and quasitilted algebras",1996,"https://doi.org/10.1090/memo/0575",1],[2,0.1733,-0.8491,"ON THE DIFFERENCE OF CONSECUTIVE PRIMES",1935,"https://doi.org/10.1093/qmath/os-6.1.124",1],[2,0.6354,0.137,"Relations between exact and approximate bilinear algorithms. Applications",1980,"https://doi.org/10.1007/bf02575865",3],[2,-0.4711,0.6809,"Almost sure functional central limit theorem for ballistic random walk in random environment",2009,"https://doi.org/10.1214/08-aihp167",1],[2,-0.705,0.0208,"Central Sequences and the Hyperfinite Factor",1970,"https://doi.org/10.1112/plms/s3-21.3.443",1],[2,-0.1217,0.7206,"Bounding Cohomology for Finite Groups and Frobenius Kernels",2015,"https://doi.org/10.1007/s10468-014-9514-7",1],[2,0.0614,0.6211,"Regularity and positional games",1963,"https://doi.org/10.1090/s0002-9947-1963-0143712-1",2],[2,-0.7312,-0.1286,"Invariant subspaces for operators in a general II1-factor",2009,"https://doi.org/10.1007/s10240-009-0018-7",1],[2,0.7202,0.436,"The Complexity of Computing a Nash Equilibrium",2009,"https://doi.org/10.1137/070699652",1],[2,0.0747,-0.2037,"ADDENDUM TO THE PAPER \"THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS\"",1970,"https://doi.org/10.1070/im1970v004n04abeh000932",3],[2,-0.195,0.6312,"Axioms for Euclidean Green's functions II",1975,"https://doi.org/10.1007/bf01608978",3],[2,-0.6504,-0.0243,"La conjecture de Baum–Connes à coefficients pour les groupes hyperboliques",2012,"https://doi.org/10.4171/jncg/89",3],[2,-0.3806,0.6511,"Combinatorial theory of the free product with amalgamation and operator-valued free probability theory",1998,"https://doi.org/10.1090/memo/0627",1],[2,-0.1592,-0.7659,"Higher Integrability for Minimizers of the Mumford–Shah Functional",2014,"https://doi.org/10.1007/s00205-014-0729-x",1],[2,0.0303,0.8403,"Representations of algebras as universal localizations",2004,"https://doi.org/10.1017/s030500410300700x",1],[2,0.271,-0.7464,"On the irrationality measure of $ \\pi$",2008,"https://doi.org/10.1070/rm2008v063n03abeh004543",1],[2,-0.2074,0.6067,"Vector-valued Hausdorff–Young inequality on compact groups",2004,"https://doi.org/10.1112/s0024611503014527",3],[2,-0.0861,0.7087,"Whitehead groups and the Bass conjecture",2003,"https://doi.org/10.1007/s00208-003-0424-y",1],[2,-0.6175,-0.572,"Existence of fixed points of nonexpansive mappings in a space without normal structure",1976,"https://doi.org/10.2140/pjm.1976.66.153",1],[2,-0.1501,0.634,"Potts model at the critical temperature",1973,"https://doi.org/10.1088/0022-3719/6/23/005",2],[2,0.243,-0.6008,"On the group of norm 1 elements in a division algebra",1988,"https://doi.org/10.1007/bf01456282",2],[2,-0.5751,-0.6235,"Positive solutions of elliptic equations",1978,"https://doi.org/10.2140/pjm.1978.75.219",1],[2,-0.7086,0.1808,"Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)",2014,"https://doi.org/10.1007/s00220-014-1953-9",1],[2,-0.1932,0.6149,"The two-dimensionalO(N) nonlinear ?-model: Renormalisation and effective actions",1989,"https://doi.org/10.1007/bf01256494",2],[2,0.4166,-0.5884,"Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables",1990,"https://doi.org/10.1007/bf02699880",1],[2,0.0166,-0.6545,"The Cassels-Tate Pairing on Polarized Abelian Varieties",1999,"https://doi.org/10.2307/121064",2],[2,0.078,-0.7016,"Arithmetical Properties of Polynomials",1953,"https://doi.org/10.1112/jlms/s1-28.4.416",1],[2,0.207,0.024,"Concerning Upper Semi-Continuous Collections of Continua",1925,"https://doi.org/10.1090/s0002-9947-1925-1501320-8",3],[2,-0.274,-0.6549,"On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus",2008,"https://doi.org/10.1007/s00023-007-0352-6",1],[2,-0.7657,0.3409,"On the quantum mechanics of supermembranes",1988,"https://doi.org/10.1016/0550-3213(88)90116-2",1],[2,0.5973,0.2856,"Local Search Heuristics for k -Median and Facility Location Problems",2004,"https://doi.org/10.1137/s0097539702416402",2],[2,0.7531,-0.0704,"A generalization of Caffarelli’s contraction theorem via (reverse) heat flow",2011,"https://doi.org/10.1007/s00208-011-0749-x",1],[2,-0.4389,-0.6033,"Isoperimetric inequalities on curved surfaces",1980,"https://doi.org/10.1016/0001-8708(80)90028-6",1],[2,-0.6984,-0.116,"Amenable unitary representations of locally compact groups",1990,"https://doi.org/10.1007/bf01231192",1],[2,-0.3139,-0.5969,"Strictly nearly Kähler 6-manifolds are not compatible with symplectic forms",2006,"https://doi.org/10.1016/j.crma.2006.10.017",2],[2,0.8001,0.316,"On the “zero-two” law for positive contractions",1989,"https://doi.org/10.1017/s0013091500004624",1],[2,0.3834,-0.4959,"Limits of Hodge structures",1976,"https://doi.org/10.1007/bf01403146",4],[2,0.3545,-0.5396,"Analyticity of sets associated to Lelong numbers and the extension of closed positive currents",1974,"https://doi.org/10.1007/bf01389965",3],[2,-0.3092,-0.6627,"On the Lusternik–Schnirelmann category of symplectic manifolds and the Arnold conjecture",1999,"https://doi.org/10.1007/pl00004709",1],[2,-0.7523,0.0844,"The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes",1996,"https://doi.org/10.1007/bf02099626",1],[2,-0.3697,0.5288,"Asymptotic direction for random walks in random environments",2007,"https://doi.org/10.1016/j.anihpb.2006.10.003",3],[2,0.6448,0.0888,"Approximate counting by dynamic programming",2003,"https://doi.org/10.1145/780542.780643",2],[2,0.4109,-0.6453,"On Nagata's Conjecture",2001,"https://doi.org/10.1006/jabr.2000.8515",1],[2,0.7139,0.2637,"Spreading of Sets in Product Spaces and Hypercontraction of the Markov Operator",1976,"https://doi.org/10.1214/aop/1176995937",1],[2,0.6914,0.284,"An O(v|v| c |E|) algoithm for finding maximum matching in general graphs",1980,"https://doi.org/10.1109/sfcs.1980.12",1],[2,-0.7092,0.1777,"Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?",1998,"https://doi.org/10.1103/physrevlett.80.5239",1],[2,-0.1887,0.6064,"Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model",1977,"https://doi.org/10.1103/physrevb.16.1217",2],[2,-0.2433,0.8024,"Differential equations driven by rough signals",1998,"https://doi.org/10.4171/rmi/240",1],[2,-0.2924,0.7307,"Spectral Dimension of Liouville Quantum Gravity",2013,"https://doi.org/10.1007/s00023-013-0308-y",1],[2,-0.1064,0.7084,"Representations of Hecke Algebras of General Linear Groups",1986,"https://doi.org/10.1112/plms/s3-52.1.20",1],[2,-0.4164,0.6996,"Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales",1975,"https://doi.org/10.1007/bf00536010",1],[2,-0.7481,-0.1597,"Embeddings of reduced free products of operator algebras",2001,"https://doi.org/10.2140/pjm.2001.199.1",1],[2,-0.2894,0.5894,"On the critical exponents of random k‐SAT",2002,"https://doi.org/10.1002/rsa.10050",2],[2,0.7923,-0.1358,"Small distortion and volume preserving embeddings for planar and Euclidean metrics",1999,"https://doi.org/10.1145/304893.304983",1],[2,-0.6474,0.45,"Residually finite one-relator groups",1967,"https://doi.org/10.1090/s0002-9904-1967-11799-3",1],[2,0.6338,-0.1271,"Some functional inverse Santaló inequalities",2008,"https://doi.org/10.1016/j.aim.2008.03.013",3],[2,-0.6003,0.4633,"Recursive Unsolvability of a problem of Thue",1947,"https://doi.org/10.2307/2267170",1],[2,0.8089,0.2534,"Two-Tape Simulation of Multitape Turing Machines",1966,"https://doi.org/10.1145/321356.321362",1],[2,-0.2694,0.6874,"Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications",2011,"https://doi.org/10.1103/physreve.84.066106",1],[2,-0.19,0.6316,"Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields",1975,"https://doi.org/10.1016/0370-2693(75)90161-6",5],[2,0.4434,-0.6718,"On Zariski problem",1979,"https://doi.org/10.3792/pjaa.55.106",1],[2,0.012,-0.8053,"Intrinsic heights of stable varieties and abelian varieties",1996,"https://doi.org/10.1215/s0012-7094-96-08202-2",1],[2,0.6483,0.1247,"TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES",2011,"https://doi.org/10.1142/s0218196711006674",2],[2,-0.6767,0.1846,"Experimental evidence for the Haldane gap in a spin-1 nearly isotropic, antiferromagnetic chain",1986,"https://doi.org/10.1103/physrevlett.56.371",1],[2,-0.3961,0.6009,"The Alexander-Orbach conjecture holds in high dimensions",2009,"https://doi.org/10.1007/s00222-009-0208-4",1],[2,-0.7821,-0.0612,"A Kadison–Kastler row metric and intermediate subalgebras",2014,"https://doi.org/10.1142/s0129167x14500827",1],[2,0.4853,-0.7155,"POLYNOMIAL IDENTITIES AND HAUPTMODULN",1981,"https://doi.org/10.1093/qmath/32.3.349",1],[2,0.3659,-0.5439,"Length 2 variables of A[x,y] and transfer",2001,"https://doi.org/10.4064/ap76-1-6",2],[2,0.2361,-0.6145,"Resolution of Nonsingularities for Mumford Curves",2013,"https://doi.org/10.4171/prims/122",2],[2,-0.7942,-0.332,"Pattern rigidity and the Hilbert–Smith conjecture",2012,"https://doi.org/10.2140/gt.2012.16.1205",1],[2,0.6447,-0.3234,"New bounds for Kakeya problems",2002,"https://doi.org/10.1007/bf02868476",1],[2,-0.5107,-0.6963,"A sharp four dimensional isoperimetric inequality",1984,"https://doi.org/10.1007/bf02566344",1],[2,-0.6803,0.2421,"Solvability of Quasilinear Elliptic Equations with Nonlinear Boundary Conditions",1982,"https://doi.org/10.1090/s0002-9947-1982-0667172-9",1],[2,-0.1299,-0.8045,"On the “Hot Spots” Conjecture of J. Rauch",1999,"https://doi.org/10.1006/jfan.1999.3397",1],[2,0.0705,-0.7306,"Propriétés du groupe tannakien des structures de Hodge p -adiques et torseur entre cohomologies cristalline et étale",1997,"https://doi.org/10.5802/aif.1600",1],[2,0.4349,-0.4816,"Bergman kernels and the pseudoeffectivity of relative canonical bundles",2008,"https://doi.org/10.1215/00127094-2008-054",8],[2,-0.734,0.2401,"The Chernoff lower bound for symmetric quantum hypothesis testing",2009,"https://doi.org/10.1214/08-aos593",1],[2,0.71,-0.1543,"The extremal PSH for the complement of convex, symmetric subsets of ${\\bf R}^N$.",1985,"https://doi.org/10.1307/mmj/1029003186",1],[2,-0.6007,-0.5312,"Free Spaces Over Some Proper Metric Spaces",2014,"https://doi.org/10.1007/s00009-014-0455-5",1],[2,0.148,-0.7706,"Decomposition of sets of group elements",1964,"https://doi.org/10.2140/pjm.1964.14.547",1],[2,-0.6033,-0.2112,"The Smith-Toda complexV((p+ 1)∕2) does not exist",2010,"https://doi.org/10.4007/annals.2010.171.491",2],[2,-0.4658,0.6756,"On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment",2005,"https://doi.org/10.1214/ecp.v10-1130",1],[2,-0.6372,0.4608,"Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups",2013,"https://doi.org/10.4171/ggd/177",1],[2,0.3199,-0.5765,"Direct images of bundles under Frobenius morphism",2008,"https://doi.org/10.1007/s00222-008-0125-y",5],[2,0.384,-0.6788,"A subadditivity property of multiplier ideals.",2000,"https://doi.org/10.1307/mmj/1030132712",1],[2,-0.1333,0.7576,"Intervals in subgroup lattices of countable locally finite groups",2008,"https://doi.org/10.1007/s00012-008-2045-5",1],[2,-0.5814,0.2769,"Thermodynamic Behavior of an Ideal Ferromagnet",1956,"https://doi.org/10.1103/physrev.102.1230",3],[2,0.6882,-0.4506,"PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII 0 SURFACES",1994,"https://doi.org/10.1142/s0129167x94000152",1],[2,-0.4267,-0.6312,"Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds",1989,"https://doi.org/10.1090/s0894-0347-1989-0999661-1",1],[2,-0.1891,0.6019,"Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas",2012,"https://doi.org/10.1007/s00220-012-1454-7",2],[2,0.6531,0.3093,"Scheduling precedence graphs of bounded height",1984,"https://doi.org/10.1016/0196-6774(84)90039-7",1],[2,0.4393,-0.4687,"ON KÄHLER VARIETIES OF RESTRICTED TYPE",1954,"https://doi.org/10.1073/pnas.40.5.313",5],[2,-0.6011,0.2194,"On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass",2015,"https://doi.org/10.1007/s00220-015-2360-6",3],[2,-0.1506,-0.7686,"Uniformly Convex Spaces",1936,"https://doi.org/10.1090/s0002-9947-1936-1501880-4",1],[2,0.7346,-0.0171,"Differentiability of Lipschitz Functions on Metric Measure Spaces",1999,"https://doi.org/10.1007/s000390050094",1],[2,-0.1543,0.6413,"The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1",2011,"https://doi.org/10.1007/s00440-011-0353-8",2],[2,-0.4766,-0.4239,"Numerical range and functional calculus in Hilbert space",2006,"https://doi.org/10.1016/j.jfa.2006.10.013",2],[2,0.6644,-0.0526,"Differential equations, difference equations and matrix theory",1958,"https://doi.org/10.1002/cpa.3160110203",2],[2,0.7905,0.2869,"Shuffle algebra and polylogarithms",2000,"https://doi.org/10.1016/s0012-365x(00)00155-2",1],[2,-0.7793,0.3401,"D-PARTICLE DYNAMICS AND BOUND STATES",1996,"https://doi.org/10.1142/s0217751x96002492",1],[2,0.8119,0.3057,"On Reverse Hypercontractivity",2013,"https://doi.org/10.1007/s00039-013-0229-4",1],[2,0.4756,0.436,"NEW PROGRESS IN THE THEORY OF TRANSFORMATIONS WITH INVARIANT MEASURE",1960,"https://doi.org/10.1070/rm1960v015n04abeh004095",2],[2,-0.1159,-0.7014,"On a conjecture of De Giorgi and some related problems",1998,"https://doi.org/10.1007/s002080050196",1],[2,0.3874,0.7061,"The realization of distances in measurable subsets covering Rn",1981,"https://doi.org/10.1016/0097-3165(81)90014-5",1],[2,0.4452,-0.6326,"On Linear Planes",1976,"https://doi.org/10.1090/s0002-9939-1976-0409472-6",1],[2,0.671,0.4462,"Behavior of maximal functios in Rn for large n",1983,"https://doi.org/10.1007/bf02384314",1],[2,-0.7601,0.1343,"Strengths and Weaknesses of Quantum Computing",1997,"https://doi.org/10.1137/s0097539796300933",1],[2,-0.4105,-0.4875,"A Riemannian interpolation inequality à la Borell, Brascamp and Lieb",2001,"https://doi.org/10.1007/s002220100160",2],[2,-0.7806,0.2771,"Blowup of Jang’s Equation at Outermost Marginally Trapped Surfaces",2009,"https://doi.org/10.1007/s00220-009-0934-x",1],[2,-0.7069,0.0264,"The Jiang-Su algebra revisited",2008,"https://arxiv.org/abs/0801.2259",1],[2,-0.639,-0.5947,"NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE",1965,"https://doi.org/10.1073/pnas.54.4.1041",1],[2,-0.6973,-0.3001,"A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps",1997,"https://doi.org/10.1007/s002080050080",1],[2,0.7691,-0.157,"Stein’s method on Wiener chaos",2008,"https://doi.org/10.1007/s00440-008-0162-x",1],[2,-0.3264,0.6482,"On the satisfiability threshold of formulas with three literals per clause",2009,"https://doi.org/10.1016/j.tcs.2009.02.020",1],[2,0.6983,-0.4971,"Equivariant homology and K-theory of affine Grassmannians and Toda lattices",2005,"https://doi.org/10.1112/s0010437x04001228",1],[2,0.2603,-0.684,"Lefschetz–Verdier Trace Formula and a Generalization of a Theorem of Fujiwara",2007,"https://doi.org/10.1007/s00039-007-0596-9",1],[2,0.6644,0.327,"A new greedy approach for facility location problems",2002,"https://doi.org/10.1145/509907.510012",1],[2,0.7918,-0.0546,"Hyperbolicity cones of elementary symmetric polynomials are spectrahedral",2013,"https://doi.org/10.1007/s11590-013-0694-6",1],[2,0.5313,0.4589,"Classical Liénard equations of degree n ⩾ 6 can have [ n − 1 2 ] + 2 limit cycles",2010,"https://doi.org/10.1016/j.jde.2010.12.003",1],[2,-0.2205,0.6747,"Logarithmic corrections to scaling in the two dimensional XY-model",1995,"https://doi.org/10.1016/0370-2693(95)00316-d",1],[2,0.6651,-0.2458,"An inequality of Paley and convergence a.e. of Walsh-Fourier series",1969,"https://doi.org/10.1007/bf02590894",1],[2,-0.3,-0.5733,"Cycles for the dynamical study of foliated manifolds and complex manifolds",1976,"https://doi.org/10.1007/bf01390011",2],[2,0.6449,0.1026,"The Complexity of Computing the Permanent",1979,"https://doi.org/10.1016/0304-3975(79)90044-6",3],[2,-0.1231,-0.651,"Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms",2013,"https://doi.org/10.1016/j.anihpc.2013.04.007",2],[2,-0.7722,-0.3176,"On Periodic Maps and the Euler Characteristics of Associated Spaces",1952,"https://doi.org/10.1090/s0002-9947-1952-0046039-4",1],[2,-0.6694,0.2234,"Trapping of waves and null geodesics for rotating black holes",2013,"https://doi.org/10.1103/physrevd.88.084037",1],[2,-0.3523,-0.5454,"On Einstein four-manifolds",2003,"https://doi.org/10.1016/j.geomphys.2003.10.013",2],[2,0.4867,0.4476,"A proof of Pesin's formula",1981,"https://doi.org/10.1017/s0143385700001188",2],[2,-0.2106,0.6222,"Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks",2003,"https://doi.org/10.1016/s0021-8693(03)00515-5",8],[2,0.2936,-0.6903,"Isomorphisms of Galois groups",1976,"https://doi.org/10.2969/jmsj/02840617",1],[2,0.7884,0.2064,"Minimal proper non-IRUP instances of the one-dimensional cutting stock problem",2015,"https://doi.org/10.1016/j.dam.2015.02.020",1],[2,-0.4213,-0.5149,"On the geometry of metric measure spaces. II",2006,"https://doi.org/10.1007/s11511-006-0003-7",2],[2,-0.3332,0.5694,"Beta ensembles, stochastic Airy spectrum, and a diffusion",2011,"https://doi.org/10.1090/s0894-0347-2011-00703-0",4],[2,0.6146,-0.189,"On a problem of Erdős on sequences and measurable sets",1984,"https://doi.org/10.1090/s0002-9939-1984-0722418-0",2],[2,0.5425,-0.4764,"A classification of simple spinnable structures on a 1-connected Alexander manifold",1974,"https://doi.org/10.2969/jmsj/02630454",1],[2,0.4906,-0.4331,"Fibered knots and algebraic singularities",1974,"https://doi.org/10.1016/0040-9383(74)90037-8",2],[2,0.411,0.4146,"Dependent rounding and its applications to approximation algorithms",2006,"https://doi.org/10.1145/1147954.1147956",2],[2,-0.8446,0.2027,"Privacy Amplification by Public Discussion",1988,"https://doi.org/10.1137/0217014",1],[2,-0.7714,-0.1076,"Interpolated free group factors",1994,"https://doi.org/10.2140/pjm.1994.163.123",1],[2,-0.6896,0.2175,"Conditional expectation in an operator algebra. IV. Entropy and information",1962,"https://doi.org/10.2996/kmj/1138844604",1],[2,-0.2043,0.6744,"Un systeme a une dimension de fermions en interaction",1967,"https://doi.org/10.1016/0375-9601(67)90193-4",1],[2,0.668,0.2189,"Ramsey-type theorems for metric spaces with applications to online problems",2006,"https://doi.org/10.1016/j.jcss.2005.05.008",1],[2,0.0013,0.6481,"On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field",1972,"https://doi.org/10.2307/1970825",2],[2,0.2685,0.6105,"Asymptotic Upper Bounds for Ramsey Functions",2001,"https://doi.org/10.1007/s003730170060",2],[2,-0.7611,-0.3863,"RING STRUCTURE OF THE FLOER COHOMOLOGY OF Σ×S1",1999,"https://doi.org/10.1016/s0040-9383(98)00028-7",1],[2,0.7912,-0.1789,"Zonoids with minimal volume-product",1986,"https://doi.org/10.1007/bf01164009",1],[2,0.4066,0.6045,"On the dimension in Borsuk's problem",1997,"https://doi.org/10.1070/rm1997v052n06abeh002184",1],[2,-0.7497,0.1972,"Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains",1989,"https://doi.org/10.1103/physrevb.40.4709",1],[2,0.6359,0.1221,"Potential theory for mean payoff games",2007,"https://doi.org/10.1007/s10958-007-0331-y",2],[2,-0.2557,0.4911,"Embedding Theorems for Groups",1949,"https://doi.org/10.1112/jlms/s1-24.4.247",2],[2,-0.3174,0.4738,"Negative dependence and the geometry of polynomials",2008,"https://doi.org/10.1090/s0894-0347-08-00618-8",9],[2,-0.4449,-0.639,"Curvature, diameter and betti numbers",1981,"https://doi.org/10.1007/bf02566208",1],[2,-0.0837,0.7791,"On a conjecture of Auslander and Reiten",2003,"https://doi.org/10.1016/j.jalgebra.2003.07.018",1],[2,0.0389,-0.668,"Deforming Galois Representations",1989,"https://doi.org/10.1007/978-1-4613-9649-9_7",3],[2,-0.2481,0.6054,"The dimension of the SLE curves",2008,"https://doi.org/10.1214/07-aop364",4],[2,-0.5819,-0.5308,"A Fixed Point Theorem for Mappings which do not Increase Distances",1965,"https://doi.org/10.2307/2313345",1],[2,-0.0037,0.66,"The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case",1987,"https://doi.org/10.1016/0022-4049(87)90043-0",2],[2,-0.1054,0.7727,"A reduction theorem for the Alperin weight conjecture",2010,"https://doi.org/10.1007/s00222-010-0295-2",1],[2,-0.1433,0.8416,"Ramsey's theorem for a class of categories",1972,"https://doi.org/10.1016/0001-8708(72)90005-9",1],[2,-0.4102,0.6545,"Undirected and directed graphs with near polynomial growth",2003,"https://doi.org/10.7151/dmgt.1208",1],[2,-0.3254,0.4865,"Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models",1966,"https://doi.org/10.1103/physrevlett.17.1133",8],[2,-0.6643,-0.0553,"Perturbation of operator algebras",1977,"https://doi.org/10.1007/bf01390201",2],[2,-0.3682,0.5964,"Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law",1945,"https://doi.org/10.1007/bf02392223",1],[2,-0.8235,-0.0006,"Banach embedding properties of non-commutative L^p-spaces",2000,"https://arxiv.org/abs/math/0005150",1],[2,0.4422,-0.5793,"Rational equivalence of zero cycles for some more surfaces withp g =0",1985,"https://doi.org/10.1007/bf01388975",1],[2,0.6258,0.1223,"Cyclic games and an algorithm to find minimax cycle means in directed graphs",1988,"https://doi.org/10.1016/0041-5553(88)90012-2",2],[2,0.7159,0.057,"Conditional hardness for satisfiable 3-CSPs",2009,"https://doi.org/10.1145/1536414.1536482",1],[2,0.5943,-0.5733,"Riemann-Roch for singular varieties",1975,"https://doi.org/10.1007/bf02684299",1],[2,-0.4174,0.6944,"Comparison of Cutoffs Between Lazy Walks and Markovian Semigroups",2013,"https://doi.org/10.1239/jap/1389370092",1],[2,-0.7579,0.2654,"The Green function estimates for strongly elliptic systems of second order",2007,"https://doi.org/10.1007/s00229-007-0107-1",1],[2,0.4226,-0.7433,"Flip Theorem and the Existence of Minimal Models for 3-Folds",1988,"https://doi.org/10.1090/s0894-0347-1988-0924704-x",1],[2,-0.6926,-0.1229,"On nuclear C∗-algebras",1973,"https://doi.org/10.1016/0022-1236(73)90021-9",1],[2,-0.8231,0.2042,"Incompatible results of quantum measurements",1990,"https://doi.org/10.1016/0375-9601(90)90172-k",1],[2,-0.6307,0.2199,"Killing initial data",1997,"https://doi.org/10.1088/0264-9381/14/1a/007",2],[2,0.3871,0.5209,"On Some Sequences of Integers",1936,"https://doi.org/10.1112/jlms/s1-11.4.261",2],[2,0.4468,-0.4874,"Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes",2010,"https://doi.org/10.1017/s1474748010000101",4],[2,-0.7179,0.4956,"Generalizeds-numbers ofτ-measurable operators",1986,"https://doi.org/10.2140/pjm.1986.123.269",1],[2,-0.1889,0.636,"Correlations in Ising Ferromagnets. I",1967,"https://doi.org/10.1063/1.1705219",2],[2,-0.6919,0.2061,"Fuglede’s conjecture is false in 5 and higher dimensions",2004,"https://doi.org/10.4310/mrl.2004.v11.n2.a8",1],[2,-0.5511,0.6249,"A Basis Theorem for Perfect Sets",1998,"https://doi.org/10.2307/421023",1],[2,0.6668,-0.4969,"THE PSEUDO-INDEX OF HOROSPHERICAL FANO VARIETIES",2010,"https://doi.org/10.1142/s0129167x10006422",1],[2,-0.5726,0.4604,"Groups of cohomological dimension one",1969,"https://doi.org/10.1016/0021-8693(69)90030-1",1],[2,0.7605,0.1725,"Storage Modification Machines",1980,"https://doi.org/10.1137/0209036",1],[2,0.0037,-0.6525,"Nonvanishing of $L$-Series and the combinatorial sieve",1997,"https://doi.org/10.4310/mrl.1997.v4.n3.a12",2],[2,0.3446,0.56,"On distinct sums and distinct distances",2003,"https://doi.org/10.1016/s0001-8708(03)00004-5",2],[2,-0.1348,-0.7121,"A singular energy minimizing free boundary",2009,"https://doi.org/10.1515/crelle.2009.074",1],[2,0.4944,-0.521,"Rigidity of commensurators and irreducible lattices",2000,"https://doi.org/10.1007/s002220000064",1],[2,-0.2937,0.6982,"Infinite conformal symmetry in two-dimensional quantum field theory",1984,"https://doi.org/10.1016/0550-3213(84)90052-x",1],[2,0.0951,-0.7508,"Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras",2010,"https://doi.org/10.1007/s00209-010-0763-9",1],[2,0.7028,-0.1245,"Isometric Embedding of Busemann Surfaces into $$L_1$$ L 1",2014,"https://doi.org/10.1007/s00454-014-9643-0",1],[2,0.762,0.1825,"Fast Fourier Transforms for Nonequispaced Data",1993,"https://doi.org/10.1137/0914081",1],[2,-0.7104,-0.0307,"Compléments à l'article « Groupes réductifs »",1972,"https://doi.org/10.1007/bf02715545",1],[2,-0.6347,-0.3272,"PU (2) monopoles and links of top-level Seiberg-Witten moduli spaces",2001,"https://doi.org/10.1515/crll.2001.069",1],[2,0.0236,-0.6525,"PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES",1972,"https://doi.org/10.1070/im1972v006n01abeh001867",3],[2,0.0889,-0.6326,"L-Functions with n-th-Order Twists",2012,"https://doi.org/10.1093/imrn/rns257",2],[2,0.4027,-0.7335,"Multiplicities and log canonical threshold",2004,"https://doi.org/10.1090/s1056-3911-04-00346-7",1],[2,0.6559,-0.0397,"Extremal positive semidefinite forms",1977,"https://doi.org/10.1007/bf01360024",2],[2,-0.645,-0.326,"An instanton-invariant for 3-manifolds",1988,"https://doi.org/10.1007/bf01218578",1],[2,0.3369,0.575,"Fractional Colouring and Hadwiger's Conjecture",1998,"https://doi.org/10.1006/jctb.1998.1835",3],[2,0.4718,-0.675,"Motivation for Hodge cycles",2006,"https://doi.org/10.1016/j.aim.2006.01.005",1],[2,-0.5061,-0.405,"Markov chains, Riesz transforms and Lipschitz maps",1992,"https://doi.org/10.1007/bf01896971",2],[2,-0.728,-0.072,"On groups of automorphisms of operator algebras",1974,"https://doi.org/10.1016/0022-1236(74)90034-2",1],[2,-0.7343,-0.0764,"An analogue of Connes-Haagerup approach for classification of subfactors of type III$_{\\bf 1}$",2005,"https://doi.org/10.2969/jmsj/1150287301",1],[2,-0.8373,0.212,"Distillation of secret key and entanglement from quantum states",2004,"https://doi.org/10.1098/rspa.2004.1372",1],[2,0.0254,-0.7426,"Nonvanishing Theorems for Automorphic L-Functions on GL(2)",1995,"https://doi.org/10.2307/2118638",1],[2,0.5905,-0.5242,"Un r�sultat sur la monodromie",1971,"https://doi.org/10.1007/bf01390095",1],[2,0.7332,-0.2264,"Roth’s estimate of the discrepancy of integer sequences is nearly sharp",1981,"https://doi.org/10.1007/bf02579452",1],[2,-0.2867,0.5861,"Geodesics in two-dimensional first-passage percolation",1996,"https://doi.org/10.1214/aop/1042644722",2],[2,0.7913,-0.3124,"Integral means spectrum of random conformal snowflakes",2008,"https://doi.org/10.1088/0951-7715/21/7/003",1],[2,-0.7189,0.1017,"Integrating Unitary Representations of Infinite-Dimensional Lie Groups",1999,"https://doi.org/10.1006/jfan.1998.3359",1],[2,-0.0756,0.6393,"On a Generalized Version of the Nakayama Conjecture",1975,"https://doi.org/10.1090/s0002-9939-1975-0389977-6",2],[2,-0.3376,0.7129,"Density and uniqueness in percolation",1989,"https://doi.org/10.1007/bf01217735",1],[2,-0.7269,0.1533,"Entanglement of Formation of an Arbitrary State of Two Qubits",1998,"https://doi.org/10.1103/physrevlett.80.2245",1],[2,0.0221,-0.6618,"Explicit Gross–Zagier and Waldspurger formulae",2014,"https://doi.org/10.2140/ant.2014.8.2523",3],[2,-0.4034,0.359,"The finite group velocity of quantum spin systems",1972,"https://doi.org/10.1007/bf01645779",5],[2,-0.424,-0.5138,"On the Convexity of Injectivity Domains on Nonfocal Manifolds",2015,"https://doi.org/10.1137/140961821",2],[2,-0.1406,0.842,"Twisted tensor product subgroups of finite classical groups",1999,"https://doi.org/10.1080/00927879908826749",1],[2,0.5165,-0.6687,"Cwikel's theorem and the CLR inequality",2014,"https://doi.org/10.4171/jst/59",1],[2,-0.3003,0.5645,"Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry",2003,"https://doi.org/10.4310/cag.2003.v11.n4.a1",3],[2,-0.5901,-0.467,"OnB-convex Banach spaces",1973,"https://doi.org/10.1007/bf01795947",1],[2,-0.0736,0.6616,"Support Varieties for Selfinjective Algebras",2004,"https://doi.org/10.1007/s10977-004-0838-7",2],[2,-0.792,-0.0622,"Free Products of Von Neumann Algebras",1973,"https://doi.org/10.1090/s0002-9947-1973-0326405-3",1],[2,-0.7523,-0.1243,"On the cross-norm of the direct product of $C^{\\ast}$-algebras",1964,"https://doi.org/10.2748/tmj/1178243737",1],[2,0.6635,0.3067,"Algorithms for approximate string matching",1985,"https://doi.org/10.1016/s0019-9958(85)80046-2",1],[2,0.1369,-0.8054,"On the difference between consecutive primes",1971,"https://doi.org/10.1007/bf01418933",1],[2,-0.6259,0.224,"Harnack's inequality for elliptic differential equations on minimal surfaces",1972,"https://doi.org/10.1007/bf01418640",2],[2,0.486,-0.6926,"On the General Hodge Conjecture for Abelian Varieties of CM-type",2003,"https://doi.org/10.2977/prims/1145476042",1],[2,-0.676,-0.3152,"Simplicial de rham cohomology and characteristic classes of flat bundles",1976,"https://doi.org/10.1016/0040-9383(76)90038-0",1],[2,-0.6966,0.2513,"Separable $p$-harmonic functions in a cone and related quasilinear equations on manifolds",2009,"https://doi.org/10.4171/jems/182",1],[2,0.7048,-0.2811,"On the variation of the Hardy-Littlewood maximal function",2015,"https://doi.org/10.5186/aasfm.2015.4003",1],[2,0.794,0.3614,"A faster algorithm computing string edit distances",1980,"https://doi.org/10.1016/0022-0000(80)90002-1",1],[2,-0.3235,0.554,"Some comparisons for Gaussian processes",2000,"https://doi.org/10.1090/s0002-9939-00-05367-3",2],[2,-0.651,0.4594,"Division Rings and Group von Neumann Algebras",1993,"https://doi.org/10.1515/form.1993.5.561",1],[2,0.3173,-0.5661,"A Frobenius variant of Seshadri constants",2013,"https://doi.org/10.1007/s00208-013-0976-4",5],[2,-0.1217,-0.6394,"Deformations of Spaces of Imbeddings",1971,"https://doi.org/10.2307/1970753",2],[2,0.5627,-0.4969,"The complex exponent of a singularity does not change along strataµ = const",1982,"https://doi.org/10.1007/bf01081801",1],[2,-0.699,0.2954,"Density functional approach to quantum lattice systems",1985,"https://doi.org/10.1007/bf01010474",1],[2,0.01,-0.8541,"Q-Curves and Abelian Varieties of GL2 -Type",2000,"https://doi.org/10.1112/s0024611500012570",1],[2,0.5908,0.2211,"Bounded generation and Kazhdan’s property ( T )",1999,"https://doi.org/10.1007/bf02698832",2],[2,0.0301,0.8176,"Homological domino effects and the first Finitistic Dimension Conjecture",1992,"https://doi.org/10.1007/bf02100610",1],[2,0.4267,0.6472,"On Borsuk’s Conjecture for Two-Distance Sets",2014,"https://doi.org/10.1007/s00454-014-9579-4",1],[2,-0.1163,0.8361,"Algebraic covers: Field of moduli versus field of definition",1997,"https://doi.org/10.1016/s0012-9593(97)89922-3",1],[2,0.4998,-0.5075,"Stable bundles and integrable systems",1987,"https://doi.org/10.1215/s0012-7094-87-05408-1",1],[2,0.4739,-0.4441,"ON FIBRE SPACE STRUCTURES OF A PROJECTIVE IRREDUCIBLE SYMPLECTIC MANIFOLD",1999,"https://doi.org/10.1016/s0040-9383(98)00003-2",2],[2,-0.3537,0.5357,"Continuum limits of random matrices and the Brownian carousel",2009,"https://doi.org/10.1007/s00222-009-0180-z",2],[2,0.7363,0.2474,"Matroid prophet inequalities",2012,"https://doi.org/10.1145/2213977.2213991",1],[2,-0.7564,0.0844,"Comments on scale and conformal invariance",2014,"https://doi.org/10.1007/jhep08(2014)027",1],[2,0.7777,0.0797,"On Average Distortion of Embedding Metrics into the Line",2008,"https://doi.org/10.1007/s00454-007-9047-5",1],[2,-0.7671,0.2756,"The Weyl and Minkowski problems in differential geometry in the large",1953,"https://doi.org/10.1002/cpa.3160060303",1],[2,-0.0619,0.653,"Stable properties of plethysm : on two conjectures of Foulkes",1993,"https://doi.org/10.1007/bf03026558",2],[2,-0.8526,0.1615,"Riemann's hypothesis and tests for primality",1976,"https://doi.org/10.1016/s0022-0000(76)80043-8",1],[2,0.3414,-0.5704,"Asymptotic multiplicities of graded families of ideals and linear series",2014,"https://doi.org/10.1016/j.aim.2014.07.004",2],[2,0.5024,-0.4325,"Some open questions in the theory of singularities",1971,"https://doi.org/10.1090/s0002-9904-1971-12729-5",2],[2,0.3945,0.3968,"Minimum partition of a matroid into independent subsets",1965,"https://doi.org/10.6028/jres.069b.004",2],[2,0.7478,0.2967,"Association of Random Variables, with Applications",1967,"https://doi.org/10.1214/aoms/1177698701",1],[2,0.7365,-0.3178,"Removability theorems for Sobolev functions and quasiconformal maps",2000,"https://doi.org/10.1007/bf02384320",1],[2,0.7558,0.0921,"Replica Monte Carlo Simulation of Spin-Glasses",1986,"https://doi.org/10.1103/physrevlett.57.2607",1],[2,0.2004,0.6726,"1-twinnings of buildings",2001,"https://doi.org/10.1007/pl00004899",1],[2,0.6931,0.138,"Vermeidung von Divisionen.",1973,"https://doi.org/10.1515/crll.1973.264.184",1],[2,-0.7777,-0.352,"On the (A,B)-slice problem",1989,"https://doi.org/10.1016/0040-9383(89)90034-7",1],[2,-0.2942,-0.6555,"Exact Lagrangian submanifolds in simply-connected cotangent bundles",2007,"https://doi.org/10.1007/s00222-007-0092-8",1],[2,-0.7626,-0.2459,"The spectrum of prime ideals in tensor triangulated categories",2005,"https://doi.org/10.1515/crll.2005.2005.588.149",1],[2,0.6595,0.0923,"Approximately Counting Integral Flows and Cell-Bounded Contingency Tables",2010,"https://doi.org/10.1137/060650544",2],[2,-0.4452,-0.6787,"Remarks on Hamilton's Compactness Theorem for Ricci flow",2012,"https://doi.org/10.1515/crelle-2012-0079",1],[2,-0.0563,0.8587,"A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras",1994,"https://doi.org/10.1007/bf01231564",1],[2,0.0942,-0.6529,"The large sieve inequality for algebraic number fields",1968,"https://doi.org/10.1112/s0025579300002540",2],[2,-0.611,0.2116,"Boundary value problems for Dirac-type equations",2005,"https://doi.org/10.1515/crll.2005.2005.579.13",2],[2,-0.099,0.7483,"Canonical models of surfaces of general type in positive characteristic",1988,"https://doi.org/10.1007/bf02699128",1],[2,-0.4056,0.5846,"An effective criterion for ballistic behavior of random walks in random environment",2002,"https://doi.org/10.1007/s004400100177",1],[2,0.2073,-0.6286,"Reconstruction of Higher-Dimensional Function Fields",2011,"https://doi.org/10.17323/1609-4514-2011-11-2-185-204",2],[2,0.6938,0.4082,"REMARKS ON A HILBERT SPACE OF ANALYTIC FUNCTIONS",1962,"https://doi.org/10.1073/pnas.48.2.199",1],[2,0.334,-0.8068,"On polynomials and exponential polynomials in several complex variables",1981,"https://doi.org/10.1007/bf01389194",1],[2,-0.3973,0.6742,"Triangular transformations of measures",2005,"https://doi.org/10.1070/sm2005v196n03abeh000882",1],[2,-0.3505,-0.6287,"Packing symplectic manifolds by hand",2005,"https://doi.org/10.4310/jsg.2005.v3.n3.a1",1],[2,-0.2806,-0.7641,"A Remark on a Uniqueness Property of High Multiplicity Tangent Flows in Dimension 3",2014,"https://doi.org/10.1093/imrn/rnu124",1],[2,0.047,-0.7025,"Eisenstein cohomology of arithmetic groups. The case GL2",1987,"https://doi.org/10.1007/bf01404673",1],[2,-0.3908,0.6957,"Low-energy non-linear excitations in sphere packings",2013,"https://doi.org/10.1039/c3sm50515d",1],[2,0.7844,-0.0322,"Value of the Steinitz constant",1980,"https://doi.org/10.1007/bf01086559",1],[2,-0.8157,0.2075,"Two simple proofs of the Kochen-Specker theorem",1991,"https://doi.org/10.1088/0305-4470/24/4/003",1],[2,-0.6937,-0.2703,"Localization of André–Quillen–Goodwillie towers, and the periodic homology of infinite loopspaces",2005,"https://doi.org/10.1016/j.aim.2005.02.005",1],[2,0.8487,-0.115,"Approximation of zonoids by zonotopes",1989,"https://doi.org/10.1007/bf02392835",1],[2,-0.6968,-0.2436,"The stack of formal groups in stable homotopy theory",2007,"https://doi.org/10.1016/j.aim.2007.04.007",1],[2,0.7848,0.3195,"Network Flow and Systems of Representatives",1958,"https://doi.org/10.4153/cjm-1958-009-1",1],[2,0.6259,0.3481,"Properties and applications of boolean function composition",2013,"https://doi.org/10.1145/2422436.2422485",1],[2,0.4538,-0.4616,"Addendum to “Termination of 4-fold Canonical Flips”",2005,"https://doi.org/10.2977/prims/1145475410",5],[2,0.6221,-0.4761,"Frobenius manifolds and Virasoro constraints",1999,"https://doi.org/10.1007/s000290050053",1],[2,0.7166,0.1067,"Adaptive routing with end-to-end feedback",2004,"https://doi.org/10.1145/1007352.1007367",1],[2,0.7477,0.1928,"An instance of the cutting stock problem for which the rounding property does not hold",1986,"https://doi.org/10.1016/0167-6377(86)90009-x",1],[2,-0.8116,-0.3142,"Spherical classes and the Dickson algebra",1998,"https://doi.org/10.1017/s0305004198002667",1],[2,-0.8579,-0.0219,"The Novikov conjecture for linear groups",2005,"https://doi.org/10.1007/s10240-005-0030-5",1],[2,0.3848,0.7503,"Non-symmetric association schemes of symmetric matrices",1993,"https://doi.org/10.1007/bf02032918",1],[2,-0.6532,-0.0002,"A Comparison of Signalling Alphabets",1952,"https://doi.org/10.1002/j.1538-7305.1952.tb01393.x",2],[2,0.6086,-0.5671,"On the Inverse of Monoidal Transformation",1970,"https://doi.org/10.2977/prims/1195193917",1],[2,-0.6877,0.215,"Classical capacity of bosonic broadcast communication and a minimum output entropy conjecture",2007,"https://doi.org/10.1103/physreva.76.032303",1],[2,-0.5232,0.3942,"Homological criteria for finiteness",1975,"https://doi.org/10.1007/bf02565740",2],[2,-0.2582,-0.3167,"The deformation theory of representations of fundamental groups of compact Kähler manifolds",1988,"https://doi.org/10.1007/bf02699127",3],[2,-0.7877,0.1985,"Secure Key from Bound Entanglement",2005,"https://doi.org/10.1103/physrevlett.94.160502",1],[2,0.3561,-0.7967,"Über die metrische Theorie der diophantischen Approximation",1958,"https://doi.org/10.1007/bf02023871",1],[2,-0.6197,0.2175,"Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation",2013,"https://doi.org/10.1080/03605302.2013.837919",2],[2,-0.2301,0.6713,"Postselection Technique for Quantum Channels with Applications to Quantum Cryptography",2009,"https://doi.org/10.1103/physrevlett.102.020504",1],[2,0.5089,-0.6054,"HOLOMORPHIC INEQUIVALENCE OF SOME CLASSES OF DOMAINS IN $\\mathbf{C}^n$",1981,"https://doi.org/10.1070/sm1981v039n01abeh001470",1],[2,0.0102,-0.7764,"Definability and decision problems in arithmetic",1949,"https://doi.org/10.2307/2266510",1],[2,-0.637,-0.0288,"Index for subfactors",1983,"https://doi.org/10.1007/bf01389127",2],[2,-0.6254,-0.499,"Equal signs additive sequences in Banach spaces",1976,"https://doi.org/10.1016/0022-1236(76)90041-0",1],[2,-0.277,0.5857,"Geodesics in first passage percolation",2008,"https://doi.org/10.1214/07-aap510",2],[2,-0.7898,-0.2679,"On the algebraic classification of module spectra",2012,"https://doi.org/10.2140/agt.2012.12.2329",1],[2,0.627,-0.331,"Interpolation of Linear Operators",1956,"https://doi.org/10.1090/s0002-9947-1956-0082586-0",1],[2,0.8332,-0.1372,"Pathwidth, trees, and random embeddings",2013,"https://doi.org/10.1007/s00493-013-2685-8",1],[2,0.8168,0.0953,"Entropy, optimization and counting",2014,"https://doi.org/10.1145/2591796.2591803",1],[2,0.1378,0.7436,"The Cycle-Complete Graph Ramsey Numbers",2005,"https://doi.org/10.1017/s096354830400642x",1],[2,0.7054,-0.3148,"Variation for the Riesz transform and uniform rectifiability",2014,"https://doi.org/10.4171/jems/487",1],[2,0.4317,-0.5992,"Tensor subalgebras and first fundamental theorems in invariant theory",2007,"https://doi.org/10.1016/j.jalgebra.2007.10.039",1],[2,-0.7907,0.216,"On the generators of quantum dynamical semigroups",1976,"https://doi.org/10.1007/bf01608499",1],[2,0.7641,-0.0097,"A Solution of the \"Plank Problem\"",1951,"https://doi.org/10.1090/s0002-9939-1951-0046672-4",1],[2,0.6431,-0.0545,"Obstructions to determinantal representability",2010,"https://doi.org/10.1016/j.aim.2010.08.003",2],[2,-0.7783,0.1994,"Linear transformations which preserve trace and positive semidefiniteness of operators",1972,"https://doi.org/10.1016/0034-4877(72)90011-0",1],[2,0.1264,-0.7121,"On the order of magnitude of Jacobsthal's function",1977,"https://doi.org/10.1017/s0013091500026560",1],[2,0.1813,-0.629,"ON THE NORMAL NUMBER OF PRIME FACTORS OF p-1 AND SOME RELATED PROBLEMS CONCERNING EULER'S ø-FUNCTION",1935,"https://doi.org/10.1093/qmath/os-6.1.205",3],[2,-0.4775,-0.7294,"Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations",1991,"https://doi.org/10.1007/bf01243922",1],[2,-0.7804,0.1987,"Unextendible product bases and the construction of inseparable states",2002,"https://doi.org/10.1016/s0024-3795(02)00423-8",1],[2,0.2656,0.6068,"Constructive Bounds for a Ramsey-Type Problem",1997,"https://doi.org/10.1007/bf03352998",2],[2,0.1462,0.7925,"The Cycle-Complete Graph Ramsey Number",2011,"https://doi.org/10.5402/2011/926191",1],[2,-0.6697,-0.2548,"Periodic Phenomena in the Adams-Novikov Spectral Sequence",1977,"https://doi.org/10.2307/1971064",1],[2,0.589,0.5546,"Une classe de systemes pour lesquels la conjecture de Pinsker est vraie",1975,"https://doi.org/10.1007/bf02760798",1],[2,-0.4306,0.622,"Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment",2011,"https://doi.org/10.1214/09-aihp344",1],[2,0.4821,-0.448,"Oka's principle for holomorphic fiber bundles with sprays",2000,"https://doi.org/10.1007/s002080050361",2],[2,0.7507,0.2239,"Intersection Theorems for Systems of Sets",1960,"https://doi.org/10.1112/jlms/s1-35.1.85",1],[2,0.4376,-0.475,"Some Nonlinear Problems in Riemannian Geometry",1998,"https://doi.org/10.1007/978-3-662-13006-3",2],[2,0.7516,-0.0517,"Hyperbolic polynomials, interlacers, and sums of squares",2013,"https://doi.org/10.1007/s10107-013-0736-y",1],[2,0.3013,0.805,"Note on Combinatorial Analysis",1945,"https://doi.org/10.1112/plms/s2-48.1.122",1],[2,-0.2346,0.6187,"Near-critical percolation in two dimensions",2008,"https://doi.org/10.1214/ejp.v13-565",3],[2,-0.6067,0.2281,"New bounds on the Lieb-Thirring constants",2000,"https://doi.org/10.1007/s002220000077",3],[2,0.0295,-0.772,"The Iwasawa Conjecture for Totally Real Fields",1990,"https://doi.org/10.2307/1971468",1],[2,0.0354,-0.6498,"Ring-Theoretic Properties of Certain Hecke Algebras",1995,"https://doi.org/10.2307/2118560",4],[2,-0.6058,0.2221,"A Jang equation approach to the Penrose inequality",2010,"https://doi.org/10.3934/dcds.2010.27.741",5],[2,0.6623,0.3963,"Arithmetic circuits: The chasm at depth four gets wider",2012,"https://doi.org/10.1016/j.tcs.2012.03.041",1],[2,0.1178,-0.7188,"De residuis cubicis disquisitiones nonnullae analyticae.",1846,"https://doi.org/10.1515/crll.1846.32.341",1],[2,-0.4557,-0.1067,"Manifolds with a lower Ricci Curvature Bound",2006,"https://doi.org/10.4310/sdg.2006.v11.n1.a7",2],[2,0.1638,-0.7528,"Fourier coefficients of modular forms of half-integral weight",1987,"https://doi.org/10.1007/bf01389423",1],[2,0.6343,-0.2212,"An $L^4$ estimate for a singular entangled quadrilinear form",2014,"https://arxiv.org/abs/1412.2384",2],[2,-0.722,-0.0907,"Hochschild cohomology of II1 factors with Cartan maximal abelian subalgebras",2009,"https://doi.org/10.1017/s0013091507000053",1],[2,-0.4313,-0.6207,"C∞ convex functions and manifolds of positive curvature",1976,"https://doi.org/10.1007/bf02392418",1],[2,-0.6985,-0.3064,"Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture",2014,"https://doi.org/10.1016/j.jfa.2014.09.012",1],[2,-0.8179,0.2768,"The red‐shift effect and radiation decay on black hole spacetimes",2009,"https://doi.org/10.1002/cpa.20281",1],[2,0.6372,-0.474,"Intermediate moduli spaces of stable maps",2006,"https://doi.org/10.1007/s00222-006-0006-1",1],[2,-0.8245,0.0142,"Purely infinite C*-algebras of real rank zero",2007,"https://doi.org/10.1515/crelle.2007.091",1],[2,-0.2815,0.592,"The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is $${1+\\sqrt{2}}$$ 1 + 2",2014,"https://doi.org/10.1007/s00220-014-1896-1",3],[2,-0.7946,0.1137,"On axiomatic approaches to vertex operator algebras and modules",1993,"https://doi.org/10.1090/memo/0494",1],[2,0.1271,-0.816,"Sur les séries de dirichlet correspondant à des caractères complexes",1913,"https://doi.org/10.1007/bf03015596",1],[2,-0.1297,-0.6376,"Homeomorphisms in the Sobolev space W 1,n–1",2010,"https://doi.org/10.1515/crelle.2010.057",2],[2,-0.4634,-0.6506,"Best constant in Sobolev inequality",1976,"https://doi.org/10.1007/bf02418013",1],[2,0.0254,-0.7758,"Le système d'Euler de Kato",2012,"https://arxiv.org/abs/1211.3767",1],[2,0.0,-0.1218,"The Structure of Polynomial Ideals and Gröbner Bases",1990,"https://doi.org/10.1137/0219053",3],[2,-0.681,0.2461,"The Jang equation, apparent horizons and the Penrose inequality",2004,"https://doi.org/10.1088/0264-9381/21/24/007",1],[2,-0.6599,0.5577,"Combinatorial Harmonic Maps and Discrete-group Actions on Hadamard Spaces",2005,"https://doi.org/10.1007/s10711-004-1843-y",1],[2,0.7068,-0.1262,"Multicommodity flows in planar graphs",1981,"https://doi.org/10.1016/s0095-8956(81)80012-3",1],[2,0.0388,-0.8359,"The Fontaine-Mazur conjecture for 𝐺𝐿₂",2009,"https://doi.org/10.1090/s0894-0347-09-00628-6",1],[2,-0.2256,0.612,"Information flow on trees",2003,"https://doi.org/10.1214/aoap/1060202828",3],[2,-0.6975,0.4669,"Fast growth in the Følner function for Thompson’s group $F$",2013,"https://doi.org/10.4171/ggd/201",1],[2,-0.6139,0.2018,"Global aspects of the Cauchy problem in general relativity",1969,"https://doi.org/10.1007/bf01645389",3],[2,-0.7335,-0.0499,"Automatic Continuity of Derivations of Operator Algebras",1972,"https://doi.org/10.1112/jlms/s2-5.3.432",1],[2,-0.1632,0.6494,"Calculation of scalar products of wave functions and form factors in the framework of the alcebraic Bethe ansatz",1989,"https://doi.org/10.1007/bf01016531",2],[2,0.7639,0.0791,"Explicit Constructions of Towers of Function Fields with Many Rational Places",2001,"https://doi.org/10.1007/978-3-0348-8266-8_17",1],[2,0.6408,0.391,"Expander graphs and their applications",2006,"https://doi.org/10.1090/s0273-0979-06-01126-8",1],[2,0.5598,-0.5665,"A Kawamata-Viehweg Vanishing Theorem on Compact Kähler Manifolds",2003,"https://doi.org/10.4310/jdg/1090426678",1],[2,-0.2975,-0.7486,"Properties of the solutions of the linearized Monge-Ampère equation",1997,"https://doi.org/10.1353/ajm.1997.0010",1],[2,0.6642,-0.3602,"A local smoothing estimate for the Schrödinger equation",2008,"https://doi.org/10.1016/j.aim.2008.08.008",1],[2,-0.3153,0.6391,"A Threshold for Unsatisfiability",1996,"https://doi.org/10.1006/jcss.1996.0081",1],[2,-0.5997,0.2462,"Searching for a trail of evidence in a maze",2008,"https://doi.org/10.1214/07-aos526",3],[2,0.7151,0.3422,"Scheduling Opposing Forests",1983,"https://doi.org/10.1137/0604011",1],[2,-0.1457,-0.6285,"Upper Maxwellian Bounds for the Spatially Homogeneous Boltzmann Equation",2009,"https://doi.org/10.1007/s00205-009-0250-9",2],[2,-0.723,0.2112,"A fourier analytic approach to the problem of mutually unbiased bases",2012,"https://doi.org/10.1556/sscmath.49.2012.4.1221",1],[2,0.3858,-0.5211,"Functoriality in Resolution of Singularities",2008,"https://doi.org/10.2977/prims/1210167338",8],[2,-0.5097,0.4126,"Thompson-type formulae",2011,"https://doi.org/10.1016/j.jfa.2011.11.011",2],[2,-0.336,0.5609,"Nondegenerate Symmetric Bilinear Forms on Finite Abelian 2-Groups",1984,"https://doi.org/10.1090/s0002-9947-1984-0743731-1",2],[2,0.241,0.793,"Homological Connectivity Of Random 2-Complexes",2006,"https://doi.org/10.1007/s00493-006-0027-9",1],[2,-0.868,-0.1002,"Generators and direct integral decompositions of $W^{\\ast}$-algebras",1974,"https://doi.org/10.2748/tmj/1178241231",1],[2,0.2747,-0.7248,"The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.",2014,"https://doi.org/10.1093/imrn/rnu168",1],[2,-0.1769,0.7128,"Exact Solution of a Two-Dimensional Model for Hydrogen-Bonded Crystals",1967,"https://doi.org/10.1103/physrevlett.19.103",1],[2,0.4779,0.4545,"Oscillation in ergodic theory",1998,"https://doi.org/10.1017/s0143385798108349",3],[2,-0.6126,0.2498,"Ground State Energy of the One-Component Charged Bose Gas",2001,"https://doi.org/10.1007/s002200000353",2],[2,0.7949,0.3259,"A data structure for dynamic trees",1983,"https://doi.org/10.1016/0022-0000(83)90006-5",1],[2,-0.7825,0.2293,"Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse",2010,"https://doi.org/10.1007/s10543-010-0294-0",1],[2,0.4641,0.7256,"Combinatorial complexity bounds for arrangements of curves and spheres",1990,"https://doi.org/10.1007/bf02187783",1],[2,-0.2024,0.8095,"OFF-CRITICAL LATTICE MODELS AND MASSIVE SLEs",2010,"https://doi.org/10.1142/9789814304634_0024",1],[2,-0.3015,0.7489,"Singularity Analysis of Generating Functions",1990,"https://doi.org/10.1137/0403019",1],[2,0.8612,0.0848,"Robust Characterizations of Polynomials with Applications to Program Testing",1996,"https://doi.org/10.1137/s0097539793255151",1],[2,0.1523,-0.7647,"On thin sets of primes expressible as sumsets",2005,"https://doi.org/10.1007/s10474-005-0014-4",1],[2,0.3033,0.6389,"The tail is cut for Ramsey numbers of cubes",2006,"https://doi.org/10.1016/j.disc.2006.07.005",1],[2,0.4097,-0.5154,"Addendum to “Semistable sheaves in positive characteristic”",2004,"https://doi.org/10.4007/annals.2004.160.1211",2],[2,-0.2319,0.6193,"Remarks on the FKG inequalities",1974,"https://doi.org/10.1007/bf01645980",5],[2,0.751,-0.1022,"On the isometries of certain function-spaces",1958,"https://doi.org/10.2140/pjm.1958.8.459",1],[2,-0.3017,0.7907,"Reconstruction for the Potts model",2009,"https://doi.org/10.1145/1536414.1536493",1],[2,0.6405,0.3272,"On discrete orthogonal polynomials of several variables",2004,"https://doi.org/10.1016/j.aam.2004.03.002",1],[2,0.3088,-0.5584,"Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs",2012,"https://doi.org/10.1090/s1056-3911-2012-00593-1",4],[2,-0.688,0.1916,"Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance",2005,"https://doi.org/10.1103/physrevb.72.045141",1],[2,-0.7379,0.2916,"The XY Model Has Long-Range Order for All Spins and All Dimensions Greater than One",1988,"https://doi.org/10.1103/physrevlett.61.2582",1],[2,-0.1156,0.6467,"Every finite lattice can be embedded in a finite partition lattice",1980,"https://doi.org/10.1007/bf02482893",2],[2,0.6154,-0.2193,"Inequalities for the Powers of Nonnegative Hermitian Operators",1975,"https://doi.org/10.1090/s0002-9939-1975-0374970-x",2],[2,-0.3624,0.5308,"Generalized Random Walk in a Random Environment",1981,"https://doi.org/10.1214/aop/1176994306",3],[2,-0.5838,0.4504,"Finiteness properties of groups",1987,"https://doi.org/10.1016/0022-4049(87)90015-6",1],[2,-0.1753,0.621,"The conformal loop ensemble nesting field",2015,"https://doi.org/10.1007/s00440-014-0604-6",4],[2,-0.1655,0.5242,"Higher algebraic K-theory: I",1973,"https://doi.org/10.1007/bfb0067053",3],[2,0.0974,-0.8352,"Pairs of matrices with property 𝐿. II",1955,"https://doi.org/10.1090/s0002-9947-1955-0086781-5",1],[2,0.8632,0.0836,"Graph expansion and the unique games conjecture",2010,"https://doi.org/10.1145/1806689.1806792",1],[2,0.0272,-0.7114,"Endoscopic Classification of representations of Quasi-Split Unitary Groups",2014,"https://doi.org/10.1090/memo/1108",1],[2,0.0498,-0.7935,"p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case",1999,"https://doi.org/10.1007/s002220050330",1],[2,-0.6086,0.4186,"Braids, posets and orthoschemes",2010,"https://doi.org/10.2140/agt.2010.10.2277",1],[2,0.6458,0.0502,"Probabilistic checking of proofs",1998,"https://doi.org/10.1145/273865.273901",5],[2,-0.1505,-0.6361,"On the existence of global solutions of mixed problem for non-linear Boltzmann equation",1974,"https://doi.org/10.3792/pja/1195519027",2],[2,0.4586,0.471,"Complex balancing in general kinetic systems",1972,"https://doi.org/10.1007/bf00255665",2],[2,-0.6411,-0.0202,"Conditional expectations in von Neumann algebras",1972,"https://doi.org/10.1016/0022-1236(72)90004-3",4],[2,0.3549,0.7153,"Multipartite Hypergraphs Achieving Equality in Ryser’s Conjecture",2015,"https://doi.org/10.1007/s00373-015-1575-9",1],[2,0.6994,-0.3323,"Maximal Functions Associated to Filtrations",2001,"https://doi.org/10.1006/jfan.2000.3687",1],[2,-0.0257,-0.1714,"Riemann's Mapping Theorem for Variable Metrics",1960,"https://doi.org/10.2307/1970141",4],[2,-0.8479,-0.138,"The analogues of entropy and of Fisher's information measure in free probability theory, II",1994,"https://doi.org/10.1007/bf01231539",1],[2,-0.6323,0.2039,"An area law for one-dimensional quantum systems",2007,"https://doi.org/10.1088/1742-5468/2007/08/p08024",2],[2,-0.2556,0.8312,"Über Eigenschaften von Ausbreitungsfunktionen und Renormierungskonstanten quantisierter Felder",1954,"https://doi.org/10.1007/bf02783624",1],[2,0.8588,0.06,"Small-Bias Probability Spaces: Efficient Constructions and Applications",1993,"https://doi.org/10.1137/0222053",1],[2,-0.6103,0.4266,"Non-linear residually finite groups",2004,"https://doi.org/10.1016/j.jalgebra.2004.06.025",1],[2,-0.3417,-0.8039,"Sign and area in nodal geometry of Laplace eigenfunctions",2005,"https://doi.org/10.1353/ajm.2005.0030",1],[2,0.6796,0.303,"Approximating Edit Distance in Near-Linear Time",2012,"https://doi.org/10.1137/090767182",1],[2,-0.6253,-0.2105,"The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory",1994,"https://doi.org/10.1090/s0273-0979-1994-00438-0",4],[2,-0.5425,-0.485,"Das algebraische Analogon zu einem Satze von Fej�r",1918,"https://doi.org/10.1007/bf01212904",1],[2,-0.3234,-0.7121,"Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibr� cotangent",1985,"https://doi.org/10.1007/bf01388807",1],[2,0.0347,-0.738,"Congruences Between Systems of Eigenvalues of Modular Forms",1982,"https://doi.org/10.1090/s0002-9947-1982-0642341-2",1],[2,0.665,0.3182,"Erratum “Optimal Sequencing of Two Equivalent Processors”",1971,"https://doi.org/10.1137/0120018",1],[2,0.2081,-0.7607,"VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION",2002,"https://doi.org/10.1112/s0024611502013655",1],[2,-0.281,-0.5778,"ON THE STABLE MORSE NUMBER OF A CLOSED MANIFOLD",2002,"https://doi.org/10.1112/s0024609301008955",4],[2,0.0106,-0.7803,"Polarisations et isogénies",2014,"https://doi.org/10.1215/00127094-2782528",1],[2,-0.1093,-0.7357,"Complete Nevanlinna–Pick Kernels",2000,"https://doi.org/10.1006/jfan.2000.3599",1],[2,-0.1042,0.7407,"Zur Darstellungstheorie der Gruppen endlicher Ordnung. II",1959,"https://doi.org/10.1007/bf01162934",1],[2,-0.7237,0.233,"One-Shot Decoupling",2014,"https://doi.org/10.1007/s00220-014-1990-4",1],[2,-0.1954,-0.7281,"Inverse Problems at the Boundary for an Elastic Medium",1995,"https://doi.org/10.1137/s0036141093247494",1],[2,0.6021,-0.23,"Random conformal snowflakes",2010,"https://doi.org/10.4007/annals.2010.172.597",2],[2,-0.6815,0.2498,"A Simple proof of the generalized Lieb-Thirring inequalities in one-space dimension",1991,"https://doi.org/10.1016/0022-247x(91)90191-2",1],[2,-0.4511,0.7274,"The Accuracy of the Gaussian Approximation to the Sum of Independent Variates",1941,"https://doi.org/10.1090/s0002-9947-1941-0003498-3",1],[2,-0.2111,-0.8038,"Absence of shocks in an initially dilute collisionless plasma",1987,"https://doi.org/10.1007/bf01223511",1],[2,-0.1311,0.7677,"Extensions for Frobenius kernels",2003,"https://doi.org/10.1016/j.jalgebra.2003.04.003",1],[2,-0.6616,-0.5107,"Genericity and amalgamation of classes of Banach spaces",2006,"https://doi.org/10.1016/j.aim.2006.05.013",1],[2,0.5323,-0.638,"Projective algebraic varieties whose universal covering spaces are biholomorphic to Cn",1999,"https://doi.org/10.2969/jmsj/05130643",1],[2,0.5873,-0.3141,"The Bochner-Riesz conjecture implies the restriction conjecture",1999,"https://doi.org/10.1215/s0012-7094-99-09610-2",4],[2,0.3799,-0.6091,"Vector Bundles of Rank 2 and Linear Systems on Algebraic Surfaces",1988,"https://doi.org/10.2307/2007055",1],[2,-0.5772,0.2859,"General Theory of Spin-Wave Interactions",1956,"https://doi.org/10.1103/physrev.102.1217",3],[2,-0.752,0.2262,"Accuracy and Stability of Numerical Algorithms",2002,"https://doi.org/10.1137/1.9780898718027",1],[2,0.633,-0.4815,"Polarizations on limiting mixed Hodge structures",2014,"https://doi.org/10.5427/jsing.2014.8k",1],[2,-0.1311,0.8064,"Rational and generic cohomology",1977,"https://doi.org/10.1007/bf01390106",1],[2,-0.6225,0.1723,"Exact results for the fractional quantum Hall effect with general interactions",1985,"https://doi.org/10.1103/physrevb.31.5280",2],[2,-0.7401,0.1891,"Hidden Z2 × Z2 symmetry breaking in Haldane-gap antiferromagnets",1992,"https://doi.org/10.1103/physrevb.45.304",1],[2,-0.4167,0.7134,"Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group",2006,"https://doi.org/10.1007/s00220-006-1554-3",1],[2,-0.6266,0.3741,"Hypoelliptic second order differential equations",1967,"https://doi.org/10.1007/bf02392081",1],[2,-0.4479,0.6269,"Generating random spanning trees more quickly than the cover time",1996,"https://doi.org/10.1145/237814.237880",1],[2,0.3411,-0.539,"An inequality between multipoint Seshadri constants",2008,"https://doi.org/10.1007/s10711-008-9315-4",3],[2,-0.2888,0.6958,"A Census of Planar Maps",1963,"https://doi.org/10.4153/cjm-1963-029-x",1],[2,0.6256,0.1775,"Exponential Time Complexity of the Permanent and the Tutte Polynomial",2014,"https://doi.org/10.1145/2635812",2],[2,-0.0646,0.0488,"Neuer beweis für die invarianz der dimensionszahl und des gebietes",1928,"https://doi.org/10.1007/bf02940617",2],[2,0.421,-0.5793,"A Compactification of Configuration Spaces",1994,"https://doi.org/10.2307/2946631",1],[2,-0.415,-0.7153,"Classification of finite simple Lie conformal superalgebras",2002,"https://doi.org/10.1016/s0021-8693(02)00504-5",1],[2,-0.7621,-0.1405,"Hyperinvariant subspaces and transitive algebras.",1972,"https://doi.org/10.1307/mmj/1029000793",1],[2,0.6072,-0.4921,"Rigidity of irreducible Hermitian symmetric spaces of the compact type under K�hler deformation",1998,"https://doi.org/10.1007/s002220050209",1],[2,0.6931,0.3073,"A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks",2006,"https://doi.org/10.1109/focs.2006.5",1],[2,-0.1334,0.8643,"Morita equivalences of Ariki-Koike algebras",2002,"https://doi.org/10.1007/s002090100371",1],[2,0.3561,-0.6355,"On the Blowing Down of Analytic Spaces",1974,"https://doi.org/10.2977/prims/1195192006",1],[2,-0.6022,0.4359,"Square tilings with prescribed combinatorics",1993,"https://doi.org/10.1007/bf02761693",1],[2,0.2372,-0.6068,"Construction of central elements in the affine Hecke algebra via nearby cycles",2001,"https://doi.org/10.1007/s002220100122",4],[2,0.3054,0.5788,"Intersective sets given by a polynomial",2006,"https://doi.org/10.4064/aa123-1-4",2],[2,0.6144,-0.2421,"Weighted Bergman spaces and the integral means spectrum of conformal mappings",2005,"https://doi.org/10.1215/s0012-7094-04-12725-3",2],[2,0.376,0.6148,"Point Sets with Many k-Sets",2001,"https://doi.org/10.1007/s004540010022",1],[2,-0.1006,0.7204,"Corrigendum: Block idempotents and the Brauer correspondence",1973,"https://doi.org/10.1017/s0004972700042581",1],[2,-0.2673,-0.701,"Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle",1994,"https://doi.org/10.1007/bf01234317",1],[2,0.6358,-0.1362,"Minimal Volume-Product in Banach Spaces with a 1-Unconditional Basis",1987,"https://doi.org/10.1112/jlms/s2-36.1.126",2],[2,-0.4283,0.6341,"On the joint distribution of energy levels of random Schrödinger operators",2008,"https://doi.org/10.1088/1751-8113/42/4/045201",1],[2,-0.0512,-0.6482,"Sur le mouvement d'un liquide visqueux emplissant l'espace",1934,"https://doi.org/10.1007/bf02547354",9],[2,-0.7078,0.462,"L2-Betti Numbers and Non-Unitarizable Groups without Free Subgroups",2009,"https://doi.org/10.1093/imrn/rnp085",1],[2,0.7923,-0.3166,"Some results connected with Brennan's conjecture",1994,"https://doi.org/10.1007/bf02559522",1],[2,-0.1385,0.7855,"On the subgroup structure of classical groups",1998,"https://doi.org/10.1007/s002220050270",1],[2,0.6531,0.1456,"A linear filtering approach to the computation of discrete Fourier transform",1970,"https://doi.org/10.1109/tau.1970.1162132",3],[2,-0.3895,0.0454,"The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis",1938,"https://doi.org/10.1073/pnas.24.12.556",2],[2,-0.3736,0.7272,"The Bethe lattice spin glass revisited",2001,"https://doi.org/10.1007/pl00011099",1],[2,0.5728,0.4772,"Transcendental Numbers with Badly Distributed Powers",1969,"https://doi.org/10.1090/s0002-9939-1969-0248094-3",1],[2,-0.0513,-0.2942,"De Rham-Hodge theory for L2-cohomology of infinite coverings",1977,"https://doi.org/10.1016/0040-9383(77)90013-1",2],[2,-0.0501,0.6363,"Expressions for Catalan Kronecker products",2010,"https://doi.org/10.2140/pjm.2010.248.31",2],[2,0.0969,-0.7257,"Topological covering of $SL(2)$ over a local field",1967,"https://doi.org/10.2969/jmsj/01910114",1],[2,0.3843,0.6999,"Every 5-coloured map in the plane contains a monochrome unit",1981,"https://doi.org/10.1016/0097-3165(81)90046-7",1],[2,-0.6017,0.2424,"Feynman cycles in the Bose gas",2006,"https://doi.org/10.1063/1.2383008",2],[2,0.5706,-0.4916,"Products of knots, branched fibrations and sums of singularities",1977,"https://doi.org/10.1016/0040-9383(77)90042-8",1],[2,-0.0223,0.6534,"Stable Finiteness of Group Rings in Arbitrary Characteristic",2002,"https://doi.org/10.1006/aima.2002.2075",3],[2,-0.2835,0.7079,"Critical Gaussian multiplicative chaos: Convergence of the derivative martingale",2014,"https://doi.org/10.1214/13-aop890",1],[2,-0.33,0.5622,"Infinite-ranged models of spin-glasses",1978,"https://doi.org/10.1103/physrevb.17.4384",2],[2,-0.6187,0.2414,"Geometric methods for nonlinear many-body quantum systems",2010,"https://doi.org/10.1016/j.jfa.2010.11.017",3],[2,-0.6814,0.4662,"On the classification of CAT(0) structures for the 4-string braid group",2005,"https://doi.org/10.1307/mmj/1114021090",1],[2,-0.6474,0.2831,"Bound states of strings and p-branes",1996,"https://doi.org/10.1016/0550-3213(95)00610-9",1],[2,0.1214,-0.6956,"Disproof of a conjecture of Jacobsthal",2012,"https://doi.org/10.1090/s0025-5718-2012-02581-6",1],[2,-0.7864,0.2599,"Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes",2005,"https://doi.org/10.1007/s00220-005-1346-1",1],[2,-0.8669,-0.118,"The dual space of an operator algebra",1967,"https://doi.org/10.1090/s0002-9947-1967-0206732-8",1],[2,-0.754,-0.0205,"C*-Algebras and Controlled Topology",1997,"https://doi.org/10.1023/a:1007705726771",1],[2,0.6525,-0.3197,"Lp estimates for the wave equation",1980,"https://doi.org/10.1016/0022-1236(80)90110-x",1],[2,-0.327,0.5527,"Parisi's mean-field solution for spin glasses as an analytic continuation in the replica number",1983,"https://doi.org/10.1088/0305-4470/16/4/006",2],[2,0.7654,0.324,"Linear lower bound on degrees of Positivstellensatz calculus proofs for the parity",2001,"https://doi.org/10.1016/s0304-3975(00)00157-2",1],[2,0.5307,-0.512,"Degenerate twistor spaces for hyperkähler manifolds",2014,"https://doi.org/10.1016/j.geomphys.2014.08.010",1],[2,-0.371,0.4782,"Solvable Model of a Spin-Glass",1975,"https://doi.org/10.1103/physrevlett.35.1792",13],[2,0.4406,-0.7403,"Cohomological characterizations of projective spaces and hyperquadrics",2008,"https://doi.org/10.1007/s00222-008-0130-1",1],[2,0.2386,-0.5971,"On the structure of algebraic groups over global fields",1990,"https://doi.org/10.1007/bf01444546",2],[2,0.4409,-0.4785,"ARITHMETIC GENERA AND THE THEOREM OF RIEMANN-ROCH FOR ALGEBRAIC VARIETIES",1954,"https://doi.org/10.1073/pnas.40.2.110",2],[2,-0.1084,0.6446,"Finite subgroups of algebraic groups",2011,"https://doi.org/10.1090/s0894-0347-2011-00695-4",2],[2,-0.4766,-0.581,"Hölder Continuity and Injectivity of Optimal Maps",2013,"https://doi.org/10.1007/s00205-013-0629-5",1],[2,-0.4847,-0.706,"Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms",2007,"https://doi.org/10.1016/j.jfa.2007.04.003",1],[2,0.5427,-0.4656,"Stacks of stable maps and Gromov-Witten invariants",1996,"https://doi.org/10.1215/s0012-7094-96-08501-4",1],[2,0.8147,-0.1684,"Monotonicity Properties of Optimal Transportation�and the FKG and Related Inequalities",2000,"https://doi.org/10.1007/s002200000257",1],[2,0.5704,-0.309,"Besicovitch type maximal operators and applications to fourier analysis",1991,"https://doi.org/10.1007/bf01896376",3],[2,0.5875,-0.4759,"The Sarkisov program",2012,"https://doi.org/10.1090/s1056-3911-2012-00599-2",1],[2,0.4421,0.5825,"Additive structures in sumsets",2008,"https://doi.org/10.1017/s030500410700093x",1],[2,-0.0051,0.0709,"Probabilistic computations: Toward a unified measure of complexity",1977,"https://doi.org/10.1109/sfcs.1977.24",2],[2,-0.6855,0.2434,"Existence, Regularity, and Properties of Generalized Apparent Horizons",2009,"https://doi.org/10.1007/s00220-009-0970-6",1],[2,0.1913,0.81,"An erdős—Gallai conjecture",1985,"https://doi.org/10.1007/bf02579444",1],[2,0.4264,0.5771,"Partitions and sums and products—Two counterexamples",1980,"https://doi.org/10.1016/0097-3165(80)90052-7",1],[2,-0.2222,0.6196,"Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm",1988,"https://doi.org/10.1103/physrevd.38.2009",10],[2,-0.4959,-0.6606,"The inverse function theorem of Nash and Moser",1982,"https://doi.org/10.1090/s0273-0979-1982-15004-2",1],[2,0.5122,-0.5236,"Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula",2012,"https://doi.org/10.2140/ant.2012.6.797",1],[2,0.4676,0.3596,"On Sets of Integers Which Contain No Three Terms in Arithmetical Progression",1946,"https://doi.org/10.1073/pnas.32.12.331",5],[2,0.6106,0.5381,"A Measure Preserving Transformation whose Spectrum has Lebesgue Component of Multiplicity Two",1984,"https://doi.org/10.1112/blms/16.4.402",1],[2,-0.794,0.2285,"A gap for the maximum number of mutually unbiased bases",2013,"https://doi.org/10.1090/s0002-9939-2013-11487-5",1],[2,0.6325,0.129,"Partial and Total Matrix Multiplication",1981,"https://doi.org/10.1137/0210032",3],[2,-0.4166,0.6124,"Invariant Gaussian processes and independent sets on regular graphs of large girth",2014,"https://doi.org/10.1002/rsa.20547",1],[2,-0.3674,-0.5629,"Kählerian Twistor Spaces",1981,"https://doi.org/10.1112/plms/s3-43.1.133",2],[2,-0.6459,-0.2784,"Groupes D'Homotopie Et Classes De Groupes Abeliens",1953,"https://doi.org/10.2307/1969789",1],[2,0.0099,-0.6604,"Averages of twisted elliptic L-functions",1997,"https://doi.org/10.4064/aa-80-2-149-163",2],[2,0.0253,0.7162,"Finitistic Dimension and a Homological Generalization of Semi-Primary Rings",1960,"https://doi.org/10.1090/s0002-9947-1960-0157984-8",1],[2,0.5314,-0.5735,"Essential self-adjointness of powers of generators of hyperbolic equations",1973,"https://doi.org/10.1016/0022-1236(73)90003-7",1],[2,0.0031,-0.7835,"The Average Analytic Rank of Elliptic Curves",2004,"https://doi.org/10.1215/s0012-7094-04-12235-3",1],[2,-0.0475,0.7331,"Stable bundles, representation theory and Hermitian operators",1998,"https://doi.org/10.1007/s000290050037",1],[2,0.4642,-0.5872,"Generic positivity and foliations in positive characteristic",2015,"https://doi.org/10.1016/j.aim.2015.02.015",1],[2,-0.1361,-0.7877,"Towards a counter-example to a conjecture of De Giorgi in high dimensions",2004,"https://doi.org/10.1007/s10231-002-0068-7",1],[2,0.7229,0.1211,"On the computational complexity and geometry of the first-order theory of the reals. Part II: The general decision problem. Preliminaries for quantifier elimination",1992,"https://doi.org/10.1016/s0747-7171(10)80004-5",1],[2,0.4101,-0.4894,"�ber Modifikationen und exzeptionelle analytische Mengen",1962,"https://doi.org/10.1007/bf01441136",5],[2,-0.6031,-0.2237,"On spectra realizing exterior parts of the steenrod algebra",1971,"https://doi.org/10.1016/0040-9383(71)90017-6",2],[2,-0.7011,-0.4857,"A counterexample to the approximation problem in Banach spaces",1973,"https://doi.org/10.1007/bf02392270",1],[2,-0.8316,0.127,"Unitary vertex operator algebras",2013,"https://doi.org/10.1016/j.jalgebra.2013.09.007",1],[2,0.0717,-0.8255,"Canonical extensions of Néron models of Jacobians",2010,"https://doi.org/10.2140/ant.2010.4.111",1],[2,-0.6085,-0.2695,"The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space",2000,"https://doi.org/10.1007/s002229900032",2],[2,-0.4309,-0.6256,"Poincaré–Lelong equation via the Hodge–Laplace heat equation",2013,"https://doi.org/10.1112/s0010437x12000322",1],[2,0.0818,-0.7973,"POWER-FREE VALUES OF POLYNOMIALS",2011,"https://doi.org/10.1093/qmath/har030",1],[2,0.3752,-0.5408,"Monge–Ampère equations in big cohomology classes",2010,"https://doi.org/10.1007/s11511-010-0054-7",4],[2,-0.1617,-0.7481,"Existence theorem for a minimum problem with free discontinuity set",1989,"https://doi.org/10.1007/bf01052971",1],[2,-0.2653,-0.7198,"Elliptic Problems in Domains with Piecewise Smooth Boundaries",1994,"https://doi.org/10.1515/9783110848915",1],[2,-0.582,-0.5069,"Free Banach spaces and the approximation properties",2014,"https://doi.org/10.1090/s0002-9939-2014-11933-2",1],[2,0.02,-0.6504,"Generalized Heegner cycles and p-adic Rankin L-series",2013,"https://doi.org/10.1215/00127094-2142056",2],[2,-0.5523,-0.6728,"Polar factorization of maps on Riemannian manifolds",2001,"https://doi.org/10.1007/pl00001679",1],[2,-0.1353,-0.786,"Minimal cones and the Bernstein problem",1969,"https://doi.org/10.1007/bf01404309",1],[2,-0.7058,0.1708,"On the degree of polynomials that approximate symmetric Boolean functions (preliminary version)",1992,"https://doi.org/10.1145/129712.129758",1],[2,-0.4143,0.6969,"On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model",1994,"https://doi.org/10.1088/0305-4470/27/17/011",1],[2,0.4379,-0.7382,"Complements on surfaces",2000,"https://doi.org/10.1007/bf02984106",1],[2,0.6621,-0.0468,"Linear matrix inequality representation of sets",2006,"https://doi.org/10.1002/cpa.20155",3],[2,-0.6497,-0.0235,"Generating all graph coverings by permutation voltage assignments",1977,"https://doi.org/10.1016/0012-365x(77)90131-5",2],[2,-0.7651,-0.0642,"Almost Commuting Unitary Matrices",1989,"https://doi.org/10.1090/s0002-9939-1989-0975641-9",1],[2,-0.6499,0.4288,"Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible",1983,"https://doi.org/10.1090/s0002-9939-1983-0699410-7",1],[2,-0.6702,0.0275,"Strongly self-absorbing 𝐶*-algebras",2007,"https://doi.org/10.1090/s0002-9947-07-04173-6",2],[2,0.506,-0.5291,"The algebraic topology of smooth algebraic varieties",1978,"https://doi.org/10.1007/bf02684316",1],[2,-0.7986,0.0259,"Quelques propri�t�s des suites centrales dans les facteurs de type II1",1969,"https://doi.org/10.1007/bf01404306",1],[2,0.4812,0.6923,"On Heilbronn's Triangle Problem",1981,"https://doi.org/10.1112/jlms/s2-24.3.385",1],[2,0.4309,-0.5947,"Intersection theory of moduli space of stable 𝑛-pointed curves of genus zero",1992,"https://doi.org/10.1090/s0002-9947-1992-1034665-0",1],[2,-0.1746,-0.6851,"An existence and uniqueness theorem for the Vlasov‐Maxwell system",1984,"https://doi.org/10.1002/cpa.3160370404",1],[2,0.5215,0.5437,"Necessary and sufficient conditions for complex balancing in chemical kinetics",1972,"https://doi.org/10.1007/bf00255664",1],[2,-0.2165,0.6098,"Two-Dimensional Critical Percolation: The Full Scaling Limit",2006,"https://doi.org/10.1007/s00220-006-0086-1",3],[2,-0.5861,0.417,"A geometric invariant of discrete groups",1987,"https://doi.org/10.1007/bf01389175",1],[2,0.2942,0.7213,"Special matchings and Kazhdan–Lusztig polynomials",2005,"https://doi.org/10.1016/j.aim.2005.01.011",1],[2,-0.7213,-0.0612,"Finite von Neumann Algebra Factors with Property Γ",2001,"https://doi.org/10.1006/jfan.2001.3812",1],[2,-0.7847,-0.3844,"𝐿² harmonic forms on rotationally symmetric Riemannian manifolds",1979,"https://doi.org/10.1090/s0002-9939-1979-0545603-8",1],[2,-0.0245,-0.0044,"Bemerkung zur vorstehenden Arbeit",1935,"https://doi.org/10.1007/bf02940715",2],[2,0.4539,-0.7137,"On Fujita’s conjecture",1997,"https://doi.org/10.1215/s0012-7094-97-08807-4",1],[2,-0.6362,-0.1102,"Elementary proofs of some results of cobordism theory using Steenrod operations",1971,"https://doi.org/10.1016/0001-8708(71)90041-7",2],[2,0.6993,0.2848,"Parallel graph decompositions using random shifts",2013,"https://doi.org/10.1145/2486159.2486180",1],[2,-0.5933,0.2704,"Absence of diffusion in the Anderson tight binding model for large disorder or low energy",1983,"https://doi.org/10.1007/bf01209475",2],[2,-0.3202,-0.7216,"A homotopy theoretic realization of string topology",2002,"https://doi.org/10.1007/s00208-002-0362-0",1],[2,-0.0933,0.8586,"Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture",2011,"https://doi.org/10.1007/s00209-010-0825-z",1],[2,0.1921,-0.6994,"Prime Chains and Pratt Trees",2010,"https://doi.org/10.1007/s00039-010-0089-0",1],[2,0.6169,-0.5924,"The classification of the irreducible complex algebras of infinite type",1967,"https://doi.org/10.1007/bf02798038",1],[2,0.274,0.7378,"Transitive sets in Euclidean Ramsey theory",2011,"https://doi.org/10.1016/j.jcta.2011.09.005",1],[2,0.2235,-0.6036,"Resolution of Nonsingularities of Families of Curves",2004,"https://doi.org/10.2977/prims/1145475448",2],[2,-0.7839,0.3304,"Density functionals for coulomb systems",1983,"https://doi.org/10.1002/qua.560240302",1],[2,0.662,-0.258,"On the Integral Means of the Derivative of a Univalent Function",1985,"https://doi.org/10.1112/jlms/s2-32.2.254",1],[2,0.2012,-0.8426,"A Stroll Through the Gaussian Primes",1998,"https://doi.org/10.1080/00029890.1998.12004889",1],[2,-0.7848,0.3332,"Some quantum operators with discrete spectrum but classically continuous spectrum",1983,"https://doi.org/10.1016/0003-4916(83)90057-x",1],[2,0.0532,0.7876,"Relative Algebraic K-Theory and Cyclic Homology",1986,"https://doi.org/10.2307/1971283",1],[2,-0.4356,-0.4237,"An Infinite Dimensional Version of Sard's Theorem",1965,"https://doi.org/10.2307/2373250",2],[2,-0.4421,0.3304,"Symmetric Random Walks on Groups",1959,"https://doi.org/10.1090/s0002-9947-1959-0109367-6",3],[2,-0.3859,0.5165,"Existence of a Phase Transition in a Continuous Classical System",1971,"https://doi.org/10.1103/physrevlett.27.1040",2],[2,0.6611,-0.0063,"Convex polytopes whose projection bodies and difference sets are polars",1991,"https://doi.org/10.1007/bf02574676",3],[2,-0.733,-0.1332,"Some quasinilpotent generators of the hyperfinite II1 factor",2008,"https://doi.org/10.1016/j.jfa.2008.03.012",1],[2,-0.2175,0.6302,"The mixing time for simple exclusion",2006,"https://doi.org/10.1214/105051605000000728",4],[2,0.5371,0.5604,"Mixing Property of Triangular Billiards",1999,"https://doi.org/10.1103/physrevlett.83.4729",1],[2,0.4385,-0.6655,"On the hypersurfacex+x 2y+z 2+t 3=0 in ℂ4 or a ℂ4-like threefold which is not C3",1996,"https://doi.org/10.1007/bf02937314",1],[2,-0.2284,-0.7787,"RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA",2002,"https://doi.org/10.1081/pde-120002868",1],[2,-0.5216,0.4133,"Special Cube Complexes",2007,"https://doi.org/10.1007/s00039-007-0629-4",2],[2,0.5224,-0.5968,"Instability in Invariant Theory",1978,"https://doi.org/10.2307/1971168",1],[2,-0.465,-0.7163,"Almost-Schur lemma",2011,"https://doi.org/10.1007/s00526-011-0413-z",1],[2,-0.7304,0.4674,"Fermionic Quantum Computation",2002,"https://doi.org/10.1006/aphy.2002.6254",1],[2,-0.7263,-0.0168,"Erratum to Projections in free product C*-algebras",2000,"https://doi.org/10.1007/pl00001644",1],[2,-0.0008,-0.3409,"Pseudo holomorphic curves in symplectic manifolds",1985,"https://doi.org/10.1007/bf01388806",3],[2,-0.3598,-0.7228,"Actions of discrete groups on nonpositively curved spaces",1996,"https://doi.org/10.1007/bf01445254",1],[2,0.6283,0.2165,"Lower bounds for non-commutative computation",1991,"https://doi.org/10.1145/103418.103462",3],[2,-0.6527,-0.0318,"Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one",1989,"https://doi.org/10.1007/bf01393695",2],[2,-0.6604,-0.3177,"On the generalized Nielsen realization problem",2008,"https://doi.org/10.4171/cmh/116",1],[2,0.751,-0.3664,"Local smoothing type estimates on Lp for large p",2000,"https://doi.org/10.1007/pl00001652",1],[2,0.4714,0.4436,"Mixing of all orders and pairwise independent joinings of systems with singular spectrum",1991,"https://doi.org/10.1007/bf02773866",2],[2,0.3407,-0.6237,"Pluricanonical systems on minimal algebraic varieties",1985,"https://doi.org/10.1007/bf01388524",1],[2,-0.1953,0.6392,"On the decay of correlations inSO(n)-symmetric ferromagnets",1977,"https://doi.org/10.1007/bf01609854",7],[2,0.1773,-0.4244,"Sur la réductibilité d'un espace de Riemann",1952,"https://doi.org/10.1007/bf02564308",3],[2,0.4674,0.459,"ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS",1968,"https://doi.org/10.1073/pnas.59.2.349",3],[2,0.6372,0.1344,"Note on a Lower Bound on the Linear Complexity of the Fast Fourier Transform",1973,"https://doi.org/10.1145/321752.321761",2],[2,-0.158,-0.6258,"On the spatially homogeneous Boltzmann equation",1999,"https://doi.org/10.1016/s0294-1449(99)80025-0",2],[2,0.4261,0.7247,"A relaxed Hadwiger's Conjecture for list colorings",2007,"https://doi.org/10.1016/j.jctb.2006.11.002",1],[2,-0.7473,0.2032,"One-dimensional lattice model with an exact matrix-product ground state describing the Laughlin wave function",2013,"https://doi.org/10.1103/physrevb.87.245119",1],[2,0.4829,-0.4453,"Shafarevich maps and plurigenera of algebraic varieties",1993,"https://doi.org/10.1007/bf01244307",2],[2,-0.4016,0.5326,"Maxima for Graphs and a New Proof of a Theorem of Turán",1965,"https://doi.org/10.4153/cjm-1965-053-6",2],[2,-0.7893,-0.0928,"On generators for von Neumann algebras",1969,"https://doi.org/10.1090/s0002-9904-1969-12157-9",1],[2,0.7302,-0.3281,"Hausdorff dimension and distance sets",1994,"https://doi.org/10.1007/bf02772994",1],[2,-0.8061,0.3348,"Completely positive maps and entropy inequalities",1975,"https://doi.org/10.1007/bf01609396",1],[2,0.0292,-0.8047,"A propos du lemme fondamental pondéré tordu",2008,"https://doi.org/10.1007/s00208-008-0267-7",1],[2,-0.6275,0.1629,"Valence bond ground states in isotropic quantum antiferromagnets",1988,"https://doi.org/10.1007/bf01218021",2],[2,-0.1858,0.6277,"Renormalization of the Nonlinear σ Model in 2 + ε Dimensions—Application to the Heisenberg Ferromagnets",1976,"https://doi.org/10.1103/physrevlett.36.691",2],[2,-0.6411,-0.5106,"Nonreflexive spaces of type 2",1978,"https://doi.org/10.1007/bf02760825",1],[2,-0.6187,-0.2248,"A spectrum whose Zp cohomology is the algebra of reduced pth powers",1966,"https://doi.org/10.1016/0040-9383(66)90015-2",2],[2,0.2779,0.6764,"The combinatorics of Coxeter categories",2008,"https://doi.org/10.1090/s0002-9947-08-04376-6",1],[2,-0.5022,0.5177,"The dual Cantor-Bernstein theorem and the partition principle.",1990,"https://doi.org/10.1305/ndjfl/1093635502",1],[2,-0.4348,-0.4855,"Normal and Integral Currents",1960,"https://doi.org/10.2307/1970227",2],[2,-0.6365,-0.4747,"Unconditional families in Banach spaces",2007,"https://doi.org/10.1007/s00208-007-0179-y",1],[2,0.5342,-0.5093,"Ricci Curvature and Volume Convergence",1997,"https://doi.org/10.2307/2951841",1],[2,0.609,-0.4338,"Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform",2006,"https://doi.org/10.1073/pnas.0601337103",1],[2,0.1459,-0.78,"Absch�tzung der asymptotischen Dichte von Summenmengen",1953,"https://doi.org/10.1007/bf01174162",1],[2,-0.5854,-0.4347,"Models of real-valued measurability",2006,"https://doi.org/10.1016/j.apal.2006.04.003",1],[2,0.0375,-0.7314,"Geometric deformations of modular Galois representations",2004,"https://doi.org/10.1007/s00222-003-0351-2",1],[2,0.5508,-0.5139,"Compact hyperk�hler manifolds: basic results",2003,"https://doi.org/10.1007/s00222-002-0280-5",1],[2,0.3522,-0.6403,"Faisceaux Algebriques Coherents",1955,"https://doi.org/10.2307/1969915",1],[2,0.3224,-0.5917,"The Riemann-Roch theorem for complex spaces",1987,"https://doi.org/10.1007/bf02392258",2],[2,-0.8194,0.1997,"On the Geometric Distance Between Quantum States with Positive Partial Transposition and Private States",2010,"https://doi.org/10.1007/s11005-010-0376-6",1],[2,-0.7964,-0.2546,"Permutation complexes for profinite groups",2007,"https://doi.org/10.4171/cmh/83",1],[2,0.3246,-0.5549,"Mixed Hodge complexes on algebraic varieties",2000,"https://doi.org/10.1007/s002080050014",4],[2,0.4839,-0.3222,"The Brunn-Minkowski inequality",2002,"https://doi.org/10.1090/s0273-0979-02-00941-2",2],[2,-0.318,0.5589,"The Parisi formula for mixed $p$-spin models",2014,"https://doi.org/10.1214/12-aop800",3],[2,-0.3497,-0.5459,"Weyl type bounds for harmonic functions",1998,"https://doi.org/10.1007/s002220050204",2],[2,-0.6622,-0.4547,"Counterexamples to a conjecture of Grothendieck",1983,"https://doi.org/10.1007/bf02393206",1],[2,-0.6628,0.2948,"ASYMPTOTIC SEARCH FOR GROUND STATES OF SU(2) MATRIX THEORY",1998,"https://doi.org/10.1142/s0217751x98002110",1],[2,0.7629,-0.0493,"Convex sets with semidefinite representation",2008,"https://doi.org/10.1007/s10107-008-0222-0",1],[2,0.6827,-0.3564,"ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS",1954,"https://doi.org/10.1073/pnas.40.10.996",1],[2,-0.3406,0.6282,"A Topological Application of the Isoperimetric Inequality",1983,"https://doi.org/10.2307/2374298",1],[2,-0.8118,-0.2387,"Gross–Hopkins duality",2000,"https://doi.org/10.1016/s0040-9383(99)00049-x",1],[2,-0.6177,0.2254,"On the proof of the positive mass conjecture in general relativity",1979,"https://doi.org/10.1007/bf01940959",2],[2,0.0613,-0.7928,"F-isocrystals and de Rham cohomology II—Convergent isocrystals",1984,"https://doi.org/10.1215/s0012-7094-84-05136-6",1],[2,-0.7485,-0.3641,"Various L2-signatures and a topological L2-signature theorem",2003,"https://doi.org/10.1142/9789812704443_0015",1],[2,-0.2037,0.6196,"Improved mixing time bounds for the Thorp shuffle and L-reversal chain",2009,"https://doi.org/10.1214/08-aop409",12],[2,0.6331,-0.6001,"Base manifolds for fibrations of projective irreducible symplectic manifolds",2008,"https://doi.org/10.1007/s00222-008-0143-9",1],[2,-0.3817,0.5455,"Limiting velocity of high-dimensional random walk in random environment",2008,"https://doi.org/10.1214/07-aop338",2],[2,0.1352,-0.7043,"The inverse Goldbach problem",2001,"https://doi.org/10.1112/s0025579300014406",1],[2,-0.8002,-0.142,"Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions",2009,"https://doi.org/10.1090/s0002-9947-09-04762-x",1],[2,0.0008,-0.8173,"Congruent numbers and Heegner points",2014,"https://doi.org/10.4310/cjm.2014.v2.n1.a4",1],[2,0.3208,0.6385,"A correlation inequality for bipartite graphs",1993,"https://doi.org/10.1007/bf02988307",1],[2,0.1215,0.8321,"Learning Monotone Decision Trees in Polynomial Time",2007,"https://doi.org/10.1137/060669309",1],[2,0.5349,-0.5047,"Some consequences of the Riemann hypothesis for varieties over finite fields",1974,"https://doi.org/10.1007/bf01405203",1],[2,0.6335,-0.0938,"Asymptotically good codes correcting insertions, deletions, and transpositions",1999,"https://doi.org/10.1109/18.796406",2],[2,-0.4058,-0.4957,"Regularity of optimal transport in curved geometry: The nonfocal case",2010,"https://doi.org/10.1215/00127094-2010-003",2],[2,0.181,0.7353,"Character sums and difference sets",1965,"https://doi.org/10.2140/pjm.1965.15.319",1],[2,-0.4712,-0.5189,"On the equivalence of two types of oscillation for elliptic operators",1974,"https://doi.org/10.2140/pjm.1974.55.319",1],[2,0.6438,0.1165,"Cyclical games with prohibitions",1993,"https://doi.org/10.1007/bf01580616",2],[2,-0.7242,0.1875,"Distinct Trivial Phases Protected by a Point-Group Symmetry in Quantum Spin Chains",2015,"https://doi.org/10.1103/physrevlett.114.177204",1],[2,0.5875,-0.4256,"Non-symplectic automorphisms of order 3 on K3 surfaces",2008,"https://doi.org/10.1007/s00208-008-0260-1",1],[2,-0.1117,0.0351,"Braid group actions on derived categories of coherent sheaves",2001,"https://doi.org/10.1215/s0012-7094-01-10812-0",3],[2,0.7031,0.1628,"The Shannon Capacity of a Union",1998,"https://doi.org/10.1007/pl00009824",1],[2,0.3663,0.7568,"Cube Ramsey numbers are polynomial",2001,"https://doi.org/10.1002/rsa.1021",1],[2,0.0095,-0.8515,"Rank-one twists of a certain elliptic curve",1998,"https://doi.org/10.1007/s002080050209",1],[2,-0.1226,0.859,"On Blocks of Finite Reductive Groups and Twisted Induction",1999,"https://doi.org/10.1006/aima.1998.1814",1],[2,0.3201,-0.754,"Homomorphisms of Galois groups of solvably closed Galois extensions",1981,"https://doi.org/10.2969/jmsj/03340595",1],[2,0.0493,-0.6535,"Endomorphism estimates for abelian varieties",1994,"https://doi.org/10.1007/bf02571735",2],[2,-0.2007,0.6321,"Infinite hierarchies of exponents in a diluted ferromagnet and their interpretation",1990,"https://doi.org/10.1016/0550-3213(90)90126-x",2],[2,0.6272,-0.2235,"Bellman function technique for multilinear estimates and an application to generalized paraproducts",2011,"https://doi.org/10.1512/iumj.2011.60.4784",3],[2,0.6099,-0.4006,"Class {$\\rm VII\\sb 0$} surfaces with {$b\\sb 2$} curves",2003,"https://doi.org/10.2748/tmj/1113246942",1],[2,-0.6636,0.4256,"A Simple Proof of the Restricted Isometry Property for Random Matrices",2008,"https://doi.org/10.1007/s00365-007-9003-x",1],[2,-0.3213,0.5742,"The space of interactions in neural network models",1988,"https://doi.org/10.1088/0305-4470/21/1/030",4],[2,0.3687,0.6818,"Distances realized by sets covering the plane",1973,"https://doi.org/10.1016/0097-3165(73)90020-4",1],[2,0.4743,-0.5848,"A weak version of the Lipman–Zariski conjecture",2014,"https://doi.org/10.1007/s00209-014-1337-z",1],[2,0.5509,-0.5107,"On fibre space structures of a projective irreducible symplectic manifold, Topology 38, (1999) 79–83",2001,"https://doi.org/10.1016/s0040-9383(99)00048-8",1],[2,-0.7819,-0.2937,"Fixed point adjunctions for equivariant module spectra",2014,"https://doi.org/10.2140/agt.2014.14.1779",1],[2,-0.4224,-0.5261,"Metric measure spaces with Riemannian Ricci curvature bounded from below",2014,"https://doi.org/10.1215/00127094-2681605",2],[2,0.0137,-0.6615,"Mean Values of Derivatives of Modular L-Series",1991,"https://doi.org/10.2307/2944316",2],[2,0.6715,-0.3113,"Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets",1987,"https://doi.org/10.1112/s0025579300013462",1],[2,0.7916,-0.163,"Symplectic maps of complex domains into complex space forms",2008,"https://doi.org/10.1016/j.geomphys.2008.02.007",1],[2,0.7102,0.0387,"A better approximation ratio for the vertex cover problem",2009,"https://doi.org/10.1145/1597036.1597045",1],[2,-0.2084,-0.7137,"The Calderón problem with partial data on manifolds and applications",2013,"https://doi.org/10.2140/apde.2013.6.2003",1],[2,-0.3459,0.541,"The critical probability of bond percolation on the square lattice equals 1/2",1980,"https://doi.org/10.1007/bf01197577",2],[2,0.1572,-0.8428,"Additive decomposability of multiplicatively defined sets",2006,"https://doi.org/10.7169/facm/1229442617",1],[2,-0.3528,0.5333,"The expected eigenvalue distribution of a large regular graph",1981,"https://doi.org/10.1016/0024-3795(81)90150-6",2],[2,0.6991,-0.1301,"On Quermassintegrals of mixed projection bodies",1990,"https://doi.org/10.1007/bf00147600",1],[2,0.6044,0.5281,"Slow Divergence Integrals in Classical Liénard Equations Near Centers",2014,"https://doi.org/10.1007/s10884-014-9358-1",1],[2,0.4416,0.6874,"Near optimal bounds for the Erdős distinct distances problem in high dimensions",2008,"https://doi.org/10.1007/s00493-008-2099-1",1],[2,-0.3304,0.5635,"Spherical Model of a Spin-Glass",1976,"https://doi.org/10.1103/physrevlett.36.1217",3],[2,-0.7697,0.1536,"Modulus of convexity for operator convex functions",2014,"https://doi.org/10.1063/1.4890292",1],[2,-0.6723,-0.3527,"On a conjecture of Quillen and a lemma of Robinson",1990,"https://doi.org/10.1007/bf01191159",1],[2,-0.307,0.6571,"Exact spin quantum Hall current between boundaries of a lattice strip",2010,"https://doi.org/10.1016/j.nuclphysb.2010.05.019",1],[2,0.4606,0.478,"A Proof of the Global Attractor Conjecture in the Single Linkage Class Case",2011,"https://doi.org/10.1137/11082631x",2],[2,0.2627,-0.7523,"$ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM",1983,"https://doi.org/10.1070/im1983v021n02abeh001793",1],[2,0.3635,-0.5565,"A relation between one-point and multi-point Seshadri constants",2003,"https://doi.org/10.1016/j.jalgebra.2003.10.009",2],[2,-0.6857,0.3237,"The Golden-Thompson inequality: Historical aspects and random matrix applications",2014,"https://doi.org/10.1063/1.4863477",1],[2,0.8339,0.2006,"Fast polynomial transform algorithms for digital convolution",1980,"https://doi.org/10.1109/tassp.1980.1163372",1],[2,0.6785,0.2799,"Lower Bounds on the Size of Semidefinite Programming Relaxations",2015,"https://doi.org/10.1145/2746539.2746599",1],[2,0.5353,-0.2657,"On the $C^{2,α}$-regularity of the complex Monge–Ampère equation",2012,"https://doi.org/10.4310/mrl.2012.v19.n4.a16",2],[2,0.4775,-0.5279,"A characterization of ample vector bundles on a curve",1990,"https://doi.org/10.1007/bf01446914",1],[2,-0.6676,0.4629,"The Arnol'd-Thom-Pham conjecture and the classifying space of a positive Artin monoid",2002,"https://doi.org/10.1070/rm2002v057n06abeh000582",1],[2,0.0279,-0.7501,"On the equivariant main conjecture for imaginary quadratic fields",2011,"https://doi.org/10.1515/crelle.2011.020",1],[2,-0.293,0.7175,"Uniqueness and universality of the Brownian map",2013,"https://doi.org/10.1214/12-aop792",1],[2,0.758,0.1995,"Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem",1997,"https://doi.org/10.1016/s0167-6377(96)00047-8",1],[2,-0.036,-0.2976,"User’s guide to viscosity solutions of second order partial differential equations",1992,"https://doi.org/10.1090/s0273-0979-1992-00266-5",4],[2,0.6201,0.5188,"Homoclinic points of algebraic $\\mathbb {Z}^d$-actions",1999,"https://doi.org/10.1090/s0894-0347-99-00306-9",1],[2,0.0547,-0.6982,"Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension",2008,"https://doi.org/10.1007/s00222-008-0170-6",1],[2,-0.7642,-0.3214,"𝑝-adic groups of transformations",1961,"https://doi.org/10.1090/s0002-9947-1961-0142682-8",1],[2,-0.3265,0.5528,"Full dynamical solution for a spherical spin-glass model",1995,"https://doi.org/10.1088/0305-4470/28/15/003",2],[2,-0.3961,0.654,"Erratum: Convergence in law in the second Wiener/Wigner chaos",2012,"https://doi.org/10.1214/ecp.v17-2383",1],[2,-0.2379,0.7242,"On the statistical mechanics of classical Coulomb and dipole gases",1981,"https://doi.org/10.1007/bf01011379",1],[2,0.7728,0.0924,"Information Theory and Statistical Mechanics",1957,"https://doi.org/10.1103/physrev.106.620",1],[2,0.8,-0.3134,"The Integrability of the Derivative in Conformal Mapping",1978,"https://doi.org/10.1112/jlms/s2-18.2.261",1],[2,-0.2576,0.6159,"Strong path convergence from Loewner driving function convergence",2012,"https://doi.org/10.1214/10-aop627",3],[2,-0.7902,-0.293,"Resolutions via homological perturbation",1991,"https://doi.org/10.1016/s0747-7171(08)80140-x",1],[2,-0.2869,0.702,"The exact hausdorff measure of the zero set of a stable process",1966,"https://doi.org/10.1007/bf00537139",1],[2,0.1395,-0.757,"Inverse questions for the large sieve",2014,"https://doi.org/10.1007/s00039-014-0288-1",1],[2,0.6006,-0.4197,"Implicit functions from topological vector spaces to Banach spaces",2006,"https://doi.org/10.1007/bf02773955",1],[2,0.6382,-0.1085,"Embedding k-Outerplanar Graphs into l1",2006,"https://doi.org/10.1137/s0895480102417379",2],[2,-0.0436,0.8025,"Linearisations of binary and ternary forms",1987,"https://doi.org/10.1016/0021-8693(87)90171-2",1],[2,0.0299,-0.8374,"Monodromy and local-global compatibility forl=p",2014,"https://doi.org/10.2140/ant.2014.8.1597",1],[2,-0.3303,0.5604,"Universality in Sherrington–Kirkpatrick's spin glass model",2005,"https://doi.org/10.1016/j.anihpb.2005.04.001",2],[2,-0.4915,-0.6204,"The continuity equation on metric measure spaces",2014,"https://doi.org/10.1007/s00526-014-0744-7",1],[2,-0.6054,0.2227,"On semi-classical bounds for eigenvalues of Schrödinger operators",1978,"https://doi.org/10.1016/0375-9601(78)90385-7",3],[2,-0.1069,0.7652,"Projective Modules Over Frobenius Algebras and Hopf Comodule Algebras",2011,"https://doi.org/10.1080/00927872.2011.617619",1],[2,-0.7538,-0.2538,"Sheafifiable homotopy model categories",2000,"https://doi.org/10.1017/s0305004100004722",1],[2,-0.4382,0.4364,"Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits)",1981,"https://doi.org/10.1007/bf02698687",2],[2,0.6438,0.296,"Polylogarithmic Approximation for Edit Distance and the Asymmetric Query Complexity",2010,"https://doi.org/10.1109/focs.2010.43",1],[2,0.234,0.8165,"Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination",1968,"https://doi.org/10.1090/s0025-5718-1968-0226829-0",1],[2,0.3095,0.7315,"The crossing number of K",1970,"https://doi.org/10.1016/s0021-9800(70)80087-4",1],[2,-0.109,0.811,"A reduction theorem for the blockwise Alperin weight conjecture",2012,"https://doi.org/10.1515/jgt-2012-0032",1],[2,-0.6423,0.5513,"Complete square complexes",2007,"https://doi.org/10.4171/cmh/107",1],[2,0.778,0.2454,"A Primal-Dual Randomized Algorithm for Weighted Paging",2012,"https://doi.org/10.1145/2339123.2339126",1],[2,-0.4885,-0.0174,"On the existence of certain singular integrals",1952,"https://doi.org/10.1007/bf02392130",3],[2,-0.7871,-0.2346,"Resolutions for representations of reductive p-adic groups via their buildings",2010,"https://doi.org/10.1515/crelle.2010.075",1],[2,0.7272,0.1263,"The complexity of combinatorial problems with succinct input representation",1986,"https://doi.org/10.1007/bf00289117",1],[2,-0.6209,0.2404,"The Thomas-Fermi theory of atoms, molecules and solids",1977,"https://doi.org/10.1016/0001-8708(77)90108-6",3],[2,0.0109,-0.7667,"Merten's theorem for arithmetic progressions",1974,"https://doi.org/10.1016/0022-314x(74)90032-8",1],[2,0.6428,-0.0502,"Smooth hyperbolicity cones are spectrahedral shadows",2014,"https://doi.org/10.1007/s10107-014-0744-6",3],[2,-0.1827,-0.8174,"Global validity of the Boltzmann equation for two- and three-dimensional rare gas in vacuum: Erratum and improved result",1989,"https://doi.org/10.1007/bf01218628",1],[2,-0.7945,0.2075,"Generalized Jordan-Wigner Transformations",2001,"https://doi.org/10.1103/physrevlett.86.1082",1],[2,-0.7048,0.21,"Mutually unbiased bases are complex projective 2-designs",2005,"https://doi.org/10.1109/isit.2005.1523643",1],[2,0.8298,0.2718,"The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming",1967,"https://doi.org/10.1016/0041-5553(67)90040-7",1],[2,0.5147,-0.693,"Derived quot schemes",2001,"https://doi.org/10.1016/s0012-9593(01)01064-3",1],[2,0.634,-0.0887,"Minimal theta functions",1988,"https://doi.org/10.1017/s0017089500007047",3],[2,-0.6281,0.419,"Groups of piecewise linear homeomorphisms of the real line",1985,"https://doi.org/10.1007/bf01388519",1],[2,-0.601,0.235,"Bose-Einstein Condensation and Liquid Helium",1956,"https://doi.org/10.1103/physrev.104.576",3],[2,0.3094,-0.7662,"On the Kneser–Tits problem for triality forms",2008,"https://doi.org/10.4171/cmh/148",1],[2,-0.6146,0.2384,"Propagation of Correlations in Quantum Lattice Systems",2006,"https://doi.org/10.1007/s10955-006-9143-6",3],[2,-0.4172,0.7594,"Storage capacity of memory networks with binary couplings",1989,"https://doi.org/10.1051/jphys:0198900500200305700",1],[2,-0.5667,0.6005,"Relational queries computable in polynomial time (Extended Abstract)",1982,"https://doi.org/10.1145/800070.802187",1],[2,0.213,-0.6193,"On the birational anabelian program initiated by Bogomolov I",2011,"https://doi.org/10.1007/s00222-011-0331-x",2],[2,0.4426,-0.566,"Basepoint Freeness for Nef and Big Line Bundles in Positive Characteristic",1999,"https://doi.org/10.2307/121025",1],[2,0.4836,-0.6894,"Monodromy of hypergeometric functions and non-lattice integral monodromy",1986,"https://doi.org/10.1007/bf02831622",1],[2,-0.105,-0.8065,"On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case",1979,"https://doi.org/10.1016/0022-1236(79)90076-4",1],[2,-0.6354,-0.0606,"Perturbations of Banach Algebras",1977,"https://doi.org/10.1112/plms/s3-34.3.439",2],[2,-0.1425,-0.8222,"Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones",2012,"https://doi.org/10.1016/j.jfa.2012.03.010",1],[2,-0.4092,-0.5943,"Compact k�hler manifolds of positive bisectional curvature",1980,"https://doi.org/10.1007/bf01390043",1],[2,0.6646,-0.3509,"Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators",2004,"https://doi.org/10.1215/s0012-7094-04-12217-1",1],[2,-0.6253,0.1692,"Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic S =1 Heisenberg chain",1993,"https://doi.org/10.1103/physrevb.48.3844",2],[2,-0.7977,0.2146,"Ground States in Relatively Bounded Quantum Perturbations of Classical Lattice Systems",2005,"https://doi.org/10.1007/s00220-005-1456-9",1],[2,-0.4056,-0.6912,"Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations",1998,"https://doi.org/10.4310/mrl.1998.v5.n2.a2",1],[2,0.5602,0.3087,"Nondeterminism and the size of two way finite automata",1978,"https://doi.org/10.1145/800133.804357",2],[2,0.017,-0.8352,"Characterizing integers among rational numbers with a universal-existential formula",2009,"https://doi.org/10.1353/ajm.0.0057",1],[2,-0.1088,0.8356,"Free continuous actions on zero-dimensional spaces",2005,"https://doi.org/10.1016/j.topol.2005.03.003",1],[2,0.0302,-0.8339,"On the arithmetic of abelian varieties",1972,"https://doi.org/10.1007/bf01425446",1],[2,0.6677,-0.484,"Runge approximation on convex sets implies the Oka property",2006,"https://doi.org/10.4007/annals.2006.163.689",1],[2,-0.6328,0.2191,"Inner structure of a charged black hole: An exact mass-inflation solution",1991,"https://doi.org/10.1103/physrevlett.67.789",3],[2,-0.3112,0.7901,"Spectral analysis of collectively compact, strongly convergent operator sequences",1968,"https://doi.org/10.2140/pjm.1968.25.423",1],[2,0.4301,-0.4857,"Localization of virtual classes",1999,"https://doi.org/10.1007/s002220050293",3],[2,0.2204,-0.598,"Raccord sur les espaces de Berkovich",2010,"https://doi.org/10.2140/ant.2010.4.297",2],[2,0.8308,-0.1082,"Improved lower bounds for Ginzburg–Landau energies via mass displacement",2011,"https://doi.org/10.2140/apde.2011.4.757",1],[2,-0.7115,-0.0585,"Interpolation problems in nest algebras",1975,"https://doi.org/10.1016/0022-1236(75)90041-5",1],[2,-0.823,0.0248,"Divisibility properties for C *-algebras",2013,"https://doi.org/10.1112/plms/pds082",1],[2,-0.7216,0.0841,"EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS",2005,"https://doi.org/10.1142/s0129055x05002388",1],[2,-0.4437,-0.6491,"On the Conditions to Extend Ricci Flow",2008,"https://doi.org/10.1093/imrn/rnn012",1],[2,-0.0951,0.8432,"Generalized Reynolds ideals for non-symmetric algebras",2007,"https://doi.org/10.1016/j.jalgebra.2007.02.028",1],[2,0.742,0.2512,"Semiamarts and finite values",1977,"https://doi.org/10.1090/s0002-9904-1977-14378-4",1],[2,-0.5442,-0.4412,"An introduction to the Ribe program",2012,"https://doi.org/10.1007/s11537-012-1222-7",1],[2,0.4287,-0.556,"On the existence of hermitian-yang-mills connections in stable vector bundles",1986,"https://doi.org/10.1002/cpa.3160390714",1],[2,-0.2317,0.6027,"Random Walks and Percolation on Trees",1990,"https://doi.org/10.1214/aop/1176990730",2],[2,0.5741,-0.4397,"Expanded Degenerations and Pairs",2013,"https://doi.org/10.1080/00927872.2012.658589",1],[2,-0.6069,0.2083,"On the positivity of energy in general relativity",1978,"https://doi.org/10.1063/1.523776",3],[2,-0.1039,-0.795,"The cauchy problem for the critical nonlinear Schrödinger equation in Hs",1990,"https://doi.org/10.1016/0362-546x(90)90023-a",1],[2,-0.7945,0.1527,"Quantum networks for elementary arithmetic operations",1996,"https://doi.org/10.1103/physreva.54.147",1],[2,0.518,-0.6345,"The Zariski-Lipman conjecture in the graded case",1977,"https://doi.org/10.1016/0021-8693(77)90232-0",1],[2,-0.4142,0.5858,"Random Walks in a Random Environment",1975,"https://doi.org/10.1214/aop/1176996444",1],[2,0.4021,-0.7404,"Estimation effective de la perte de positivité dans la régularisation des courants",2003,"https://doi.org/10.1016/j.crma.2003.11.011",1],[2,0.8567,-0.0796,"Lattice coverings of space",1959,"https://doi.org/10.1112/s002557930000190x",1],[2,0.7744,0.4019,"Uniqueness Theorems for Periodic Functions",1965,"https://doi.org/10.1090/s0002-9939-1965-0174934-9",1],[2,0.2605,-0.6819,"On the birational section conjecture with local conditions",2014,"https://doi.org/10.1007/s00222-014-0514-3",1],[2,0.3969,0.6036,"New sets with large Borsuk numbers",2003,"https://doi.org/10.1016/s0012-365x(02)00833-6",1],[2,0.7219,-0.0259,"On series of signed vectors and their rearrangements",2011,"https://doi.org/10.1002/rsa.20373",1],[2,-0.7512,-0.3218,"Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings",1980,"https://doi.org/10.2307/2374240",1],[2,-0.414,0.5751,"How to Get a Perfectly Random Sample from a Generic Markov Chain and Generate a Random Spanning Tree of a Directed Graph",1998,"https://doi.org/10.1006/jagm.1997.0917",1],[2,-0.799,0.0997,"On the duality condition for quantum fields",1976,"https://doi.org/10.1063/1.522898",1],[2,-0.0603,0.4437,"Moment inequalities for functions of independent random variables",2005,"https://doi.org/10.1214/009117904000000856",4],[2,0.3893,0.5855,"Packing Lines, Planes, etc.: Packings in Grassmannian Spaces",1996,"https://doi.org/10.1080/10586458.1996.10504585",1],[2,0.6444,0.1344,"Gaussian elimination is not optimal",1969,"https://doi.org/10.1007/bf02165411",3],[2,-0.6875,0.3269,"Anderson localization for multi-dimensional systems at large disorder or large energy",1985,"https://doi.org/10.1007/bf01217724",1],[2,-0.6023,-0.2238,"An important relation in homotopy groups of spheres",1967,"https://doi.org/10.3792/pja/1195521423",2],[2,-0.2796,0.7752,"Group Theory, Measure, and Asymptotic Invariants",2014,"https://doi.org/10.4171/owr/2013/42",1],[2,0.1709,-0.5289,"A stability property of symplectic packing",1999,"https://doi.org/10.1007/s002220050306",4],[2,-0.3796,0.5142,"Van der Waals-Maxwell theory, Lebowitz-Penrose limit and superstable interactions",1973,"https://doi.org/10.1007/bf01645248",2],[2,0.311,-0.5584,"On vector bundles destabilized by Frobenius pull-back",2006,"https://doi.org/10.1112/s0010437x05001788",2],[2,0.3297,0.558,"On the number of graphs without 4-cycles",1982,"https://doi.org/10.1016/0012-365x(82)90204-7",2],[2,-0.64,0.0067,"Free states of the canonical anticommutation relations",1970,"https://doi.org/10.1007/bf01645492",5],[2,0.3003,0.732,"A note on subgroups generated by reflections in Coxeter groups",1989,"https://doi.org/10.1007/bf01199813",1],[2,0.3655,-0.5502,"Affine modifications and affine hypersurfaces with a very transitive automorphism group",1999,"https://doi.org/10.1007/bf01236662",2],[2,0.7964,-0.0778,"Multiple Wiener Integral",1951,"https://doi.org/10.2969/jmsj/00310157",1],[2,0.4703,0.4672,"Three results on the regularity of the curves that are invariant by an exact symplectic twist map",2009,"https://doi.org/10.1007/s10240-009-0017-8",2],[2,-0.7541,-0.022,"On the periodicity theorem for complex vector bundles",1964,"https://doi.org/10.1007/bf02391772",1],[2,-0.5913,0.2821,"Heisenberg model and a random walk on the permutation group",1976,"https://doi.org/10.1007/bf00398374",2],[2,0.7694,-0.127,"On the 2-sum embedding conjecture",2013,"https://doi.org/10.1145/2462356.2492436",1],[2,-0.439,-0.6203,"On subharmonic functions and differential geometry in the large",1958,"https://doi.org/10.1007/bf02564570",1],[2,-0.689,0.5181,"The complexity of theorem-proving procedures",1971,"https://doi.org/10.1145/800157.805047",1],[2,-0.4961,0.7168,"Effective Polynomial Ballisticity Conditions for Random Walk in Random Environment",2013,"https://doi.org/10.1002/cpa.21500",1],[2,-0.3643,0.6657,"Mean-field theory for the three-dimensional Coulomb glass",2007,"https://doi.org/10.1103/physrevb.75.144201",1],[2,0.1998,-0.8046,"Polylogarithmic independence fools AC 0 circuits",2008,"https://doi.org/10.1145/1754399.1754401",1],[2,0.0083,0.7302,"Decomposition of tensor products of modular irreducibles for SL2",2005,"https://doi.org/10.1093/qmath/hah027",1],[2,-0.5895,0.2832,"Zur Theorie des Ferromagnetismus",1930,"https://doi.org/10.1007/bf01339661",3],[2,0.3237,0.6936,"Chromatic number, girth and maximal degree",1978,"https://doi.org/10.1016/0012-365x(78)90102-4",1],[2,-0.0975,0.8505,"On a class of groups satisfying Bass' conjecture",1998,"https://doi.org/10.1007/s002220050225",1],[2,-0.2464,0.8178,"The variational problem and background fields in renormalization group method for lattice gauge theories",1985,"https://doi.org/10.1007/bf01229381",1],[2,-0.8105,-0.3293,"Generalized orbifold Euler characteristic of symmetric products and equivariant Morava K–theory",2001,"https://doi.org/10.2140/agt.2001.1.115",1],[2,0.4552,0.4613,"General mass action kinetics",1972,"https://doi.org/10.1007/bf00251225",2],[2,-0.7448,0.255,"The Trautman-Bondi mass of hyperboloidal initial data sets",2004,"https://doi.org/10.4310/atmp.2004.v8.n1.a2",1],[2,-0.2509,-0.6172,"Affine complete locally convex hypersurfaces",2002,"https://doi.org/10.1007/s00222-002-0229-8",2],[2,0.7946,-0.1677,"Zonoids with Minimal Volume-Product--A New Proof",1988,"https://doi.org/10.1090/s0002-9939-1988-0958082-9",1],[2,0.0162,-0.706,"An Existential Divisibility Lemma for Global Fields",2006,"https://doi.org/10.1007/s00605-005-0342-z",1],[2,-0.6407,0.1559,"∑11-Formulae on finite structures",1983,"https://doi.org/10.1016/0168-0072(83)90038-6",2],[2,-0.5227,0.4129,"On notation for ordinal numbers",1938,"https://doi.org/10.2307/2267778",2],[2,0.2356,0.8204,"Existence and Explicit Constructions of q + 1 Regular Ramanujan Graphs for Every Prime Power q",1994,"https://doi.org/10.1006/jctb.1994.1054",1],[2,0.2162,0.7463,"On the second eigenvalue of a graph",1991,"https://doi.org/10.1016/0012-365x(91)90112-f",1],[2,0.7043,-0.2552,"Commutateurs d'intégrales singulières et opérateurs multilinéaires",1978,"https://doi.org/10.5802/aif.708",1],[2,0.2802,-0.6956,"Minkowskische Reduktionstheorie �ber Funktionenk�rpern",1969,"https://doi.org/10.1007/bf01418773",1],[2,-0.5162,0.3919,"Finiteness properties of duality groups",1974,"https://doi.org/10.1007/bf02566720",2],[2,0.5398,-0.5297,"Quantum reduction and representation theory of superconformal algebras",2004,"https://doi.org/10.1016/j.aim.2003.12.005",1],[2,0.7812,-0.114,"Metric structures in L1 : dimension, snowflakes, and average distortion",2004,"https://doi.org/10.1016/j.ejc.2004.07.002",1],[2,-0.5957,0.415,"Equations over groups, and groups with one defining relation",1984,"https://doi.org/10.1007/bf00971461",1],[2,-0.6032,0.4713,"The Kervaire-Laudenbach Conjecture and Presentations of Simple Groups",2005,"https://doi.org/10.1007/s10469-005-0023-y",1],[2,-0.6665,0.313,"Delocalization and Diffusion Profile for Random Band Matrices",2013,"https://doi.org/10.1007/s00220-013-1773-3",1],[2,0.7659,0.4035,"\\boldmath A $2\\frac12$-Approximation Algorithm for Shortest Superstring",2000,"https://doi.org/10.1137/s0097539796324661",1],[2,-0.291,0.658,"Stochastic Loewner evolution in doubly connected domains",2004,"https://doi.org/10.1007/s00440-004-0343-1",1],[2,-0.3613,0.5563,"Sharpness of the phase transition in percolation models",1987,"https://doi.org/10.1007/bf01212322",2],[2,-0.4939,0.6838,"Existence of phase transitions for long-range interactions",1975,"https://doi.org/10.1007/bf01609141",1],[2,0.8326,0.1897,"The Bravyi-Kitaev transformation for quantum computation of electronic structure",2012,"https://doi.org/10.1063/1.4768229",1],[2,0.3601,0.742,"Hypergraph Packing and Sparse Bipartite Ramsey Numbers",2009,"https://doi.org/10.1017/s0963548309990174",1],[2,-0.2682,0.718,"Weak and strong solutions of general stochastic models",2014,"https://doi.org/10.1214/ecp.v19-2833",1],[2,0.3646,-0.5559,"The moduli b-divisor of an lc-trivial fibration",2005,"https://doi.org/10.1112/s0010437x04001071",12],[2,0.2779,-0.696,"Finiteness theorems for algebraic groups over function fields",2011,"https://doi.org/10.1112/s0010437x11005665",1],[2,0.5645,-0.4784,"Lines on contact manifolds",2001,"https://doi.org/10.1515/crll.2001.072",1],[2,-0.3328,0.711,"Multi-colour braid-monoid algebras",1993,"https://doi.org/10.1088/0305-4470/26/24/018",1],[2,-0.704,-0.0292,"All reductive p-adic groups are tame",1974,"https://doi.org/10.1007/bf01078592",1],[2,0.2697,-0.7055,"Mehrfach perfekte K�rper",1933,"https://doi.org/10.1007/bf01452819",1],[2,-0.0056,0.7343,"The invariant theory of n × n matrices",1976,"https://doi.org/10.1016/0001-8708(76)90027-x",1],[2,0.323,0.7344,"Hilbert functions and the finite degree Zariski closure in finite field combinatorial geometry",2015,"https://doi.org/10.1016/j.jcta.2015.03.011",1],[2,0.7198,-0.1565,"From symplectic measurements to the Mahler conjecture",2014,"https://doi.org/10.1215/00127094-2794999",1],[2,-0.6953,0.2297,"The weak null condition for Einstein's equations",2003,"https://doi.org/10.1016/s1631-073x(03)00231-0",1],[2,0.5414,-0.5144,"Characterizations of Regular Local Rings of Characteristic p",1969,"https://doi.org/10.2307/2373351",1],[2,0.8223,-0.1806,"Convex bodies with minimal volume product in ?2",1991,"https://doi.org/10.1007/bf01351770",1],[2,0.7945,0.2567,"Fourier-Motzkin elimination and its dual",1973,"https://doi.org/10.1016/0097-3165(73)90004-6",1],[2,-0.2607,0.6589,"Brownian Motion, Bridge, Excursion, and Meander Characterized by Sampling at Independent Uniform Times",1999,"https://doi.org/10.1214/ejp.v4-48",1],[2,0.202,0.6059,"On a reverse form of the Brascamp-Lieb inequality",1998,"https://doi.org/10.1007/s002220050267",2],[2,-0.6685,0.4074,"Harmonic analysis, cohomology, and the large-scale geometry of amenable groups",2004,"https://doi.org/10.1007/bf02392739",1],[2,-0.7763,0.3686,"Quantum Diffusion for the Anderson Model in the Scaling Limit",2007,"https://doi.org/10.1007/s00023-006-0318-0",1],[2,-0.1524,0.6254,"Equivalence of the Potts model or Whitney polynomial with an ice-type model",1976,"https://doi.org/10.1088/0305-4470/9/3/009",2],[2,-0.0256,0.4963,"Conformal Invariance of Loops in the Double-Dimer Model",2014,"https://doi.org/10.1007/s00220-013-1881-0",2],[2,0.3783,0.7701,"Dependent random choice",2010,"https://doi.org/10.1002/rsa.20344",1],[2,0.4725,-0.7129,"On the uniqueness of the coefficient ring in a polynomial ring",1972,"https://doi.org/10.1016/0021-8693(72)90134-2",1],[2,-0.2979,-0.7093,"Nodal sets and growth exponents of Laplace eigenfunctions on surfaces",2015,"https://doi.org/10.2140/apde.2015.8.223",1],[2,0.6354,0.1365,"Multiplying matrices faster than coppersmith-winograd",2012,"https://doi.org/10.1145/2213977.2214056",3],[2,-0.5218,0.1539,"Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks",1984,"https://doi.org/10.1090/s0002-9947-1984-0743744-x",3],[2,0.4201,-0.7642,"A Local Version of the Kawamata-Viehweg Vanishing Theorem",2011,"https://doi.org/10.4310/pamq.2011.v7.n4.a18",1],[2,-0.7699,-0.0856,"On Cardinal Invariants and Generators for von Neumann Algebras",2011,"https://doi.org/10.4153/cjm-2011-048-2",1],[2,-0.697,-0.3632,"Euler characteristics of groups: Thep-fractional part",1975,"https://doi.org/10.1007/bf01405170",1],[2,-0.6034,0.2452,"Plancks Gesetz und Lichtquantenhypothese",1924,"https://doi.org/10.1007/bf01327326",3],[2,0.6059,-0.2359,"An Estimate of the Universal Means Spectrum of Conformal Mappings",2006,"https://doi.org/10.1007/bf03321620",2],[2,0.0331,-0.6618,"Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern",1983,"https://doi.org/10.1007/bf01388432",3],[2,-0.4705,-0.6031,"Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces",2001,"https://doi.org/10.1007/s002090100252",1],[2,0.6273,0.2268,"Which Boolean Functions Maximize Mutual Information on Noisy Inputs?",2014,"https://doi.org/10.1109/tit.2014.2326877",2],[2,-0.3279,0.7585,"Calogero–Sutherland model and bulk-boundary correlations in conformal field theory",2004,"https://doi.org/10.1016/j.physletb.2003.12.029",1],[2,-0.1062,0.6929,"Donovan’s conjecture, crossed products and algebraic group actions",1995,"https://doi.org/10.1007/bf02762084",1],[2,0.4113,-0.6782,"On canonical bundle formulaS and subadjunctions",2012,"https://doi.org/10.1307/mmj/1339011526",1],[2,-0.1752,0.5678,"A Separator Theorem for Planar Graphs",1979,"https://doi.org/10.1137/0136016",3],[2,0.0152,-0.7926,"Polynomial bounds for Arakelov invariants of Belyi curves",2014,"https://doi.org/10.2140/ant.2014.8.89",1],[2,0.2603,-0.6716,"Arthur packets and the Ramanujan conjecture",2011,"https://doi.org/10.1215/0023608x-2010-018",1],[2,0.5708,0.5983,"Quantum Ergodicity of Boundary Values of Eigenfunctions",2004,"https://doi.org/10.1007/s00220-004-1070-2",1],[2,-0.5933,0.4155,"Affine Mirković-Vilonen polytopes",2013,"https://doi.org/10.1007/s10240-013-0057-y",1],[2,-0.2748,0.6055,"Critical behaviour of the dilute O(n) Izergin-Korepin and dilute A face models: Bulk properties",1997,"https://doi.org/10.1016/s0550-3213(96)00654-2",2],[2,0.6426,-0.0992,"Nonembeddability theorems via Fourier analysis",2006,"https://doi.org/10.1007/s00208-005-0745-0",3],[2,0.2803,0.6722,"The intersection cohomology of Schubert varieties is a combinatorial invariant",2004,"https://doi.org/10.1016/j.ejc.2003.10.011",1],[2,0.3473,-0.5376,"Differential forms on log canonical spaces",2011,"https://doi.org/10.1007/s10240-011-0036-0",3],[2,0.2996,0.7184,"Kazhdan–Lusztig combinatorics in the moment graph setting",2012,"https://doi.org/10.1016/j.jalgebra.2012.07.023",1],[2,0.4577,-0.4785,"Log minimal models according to Shokurov",2009,"https://doi.org/10.2140/ant.2009.3.951",3],[2,0.2706,0.765,"Second Neighborhood via First Neighborhood in Digraphs",2003,"https://doi.org/10.1007/s000260300001",1],[2,-0.8346,0.2438,"QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY",2011,"https://doi.org/10.1142/s0219749911006776",1],[2,-0.1158,0.8043,"Block idempotents and the Brauer correspondence",1971,"https://doi.org/10.1017/s0004972700047298",1],[2,0.7517,0.1963,"The cutting stock problem and integer rounding",1985,"https://doi.org/10.1007/bf01582013",1],[2,-0.1129,0.736,"Blocks and Source Algebras for the Double Covers of the Symmetric and Alternating Groups",1996,"https://doi.org/10.1006/jabr.1996.0400",1],[2,0.4418,-0.4929,"The partial Legendre transformation for plurisubharmonic functions",1978,"https://doi.org/10.1007/bf01403083",2],[2,0.2225,-0.7015,"A Note on the Irrationality of ζ(2) and ζ(3)",1979,"https://doi.org/10.1112/blms/11.3.268",1],[2,-0.766,-0.234,"The homotopy groups π∗(L2S0)",1995,"https://doi.org/10.1016/0040-9383(94)00032-g",1],[2,0.4034,-0.6784,"Newton polyhedron, Hilbert polynomial, and sums of finite sets",1992,"https://doi.org/10.1007/bf01075048",1],[2,0.7947,0.0792,"Facing up to arrangements: face-count formulas for partitions of space by hyperplanes",1975,"https://doi.org/10.1090/memo/0154",1],[2,-0.6145,0.3738,"Cohomological finiteness conditions for elementary amenable groups",2009,"https://doi.org/10.1515/crelle.2009.090",1],[2,-0.2421,0.619,"The critical Ising model on trees, concave recursions and nonlinear capacity",2010,"https://doi.org/10.1214/09-aop482",2],[2,0.6004,0.5939,"Théorèmes ergodiques pour une translation sur un nilvariété",1989,"https://doi.org/10.1017/s0143385700004843",1],[2,-0.1246,0.8423,"Induced cuspidal representations and generalised Hecke rings",1980,"https://doi.org/10.1007/bf01402273",1],[2,-0.3613,-0.5591,"Metrics with nonnegative isotropic curvature",1993,"https://doi.org/10.1215/s0012-7094-93-07224-9",2],[2,-0.7103,0.2022,"A Concise Guide to Complex Hadamard Matrices",2006,"https://doi.org/10.1007/s11080-006-8220-2",1],[2,-0.2214,-0.843,"The Relativistic Vlasov-Maxwell System in Two Space Dimensions: Part I",1998,"https://doi.org/10.1007/s002050050079",1],[2,-0.5503,0.3847,"A Category for the Adjoint Representation",2001,"https://doi.org/10.1006/jabr.2001.8962",2],[2,-0.406,-0.6036,"Bubbling out of Einstein manifolds",1990,"https://doi.org/10.2748/tmj/1178227654",1],[2,-0.6776,-0.3336,"Some theorems on absolute neighborhood retracts",1951,"https://doi.org/10.1007/bf02591376",1],[2,0.0479,-0.7112,"Heights of Projective Varieties and Positive Green Forms",1994,"https://doi.org/10.1090/s0894-0347-1994-1260106-x",1],[2,-0.6345,0.1619,"Rigorous results on valence-bond ground states in antiferromagnets",1987,"https://doi.org/10.1103/physrevlett.59.799",2],[2,-0.8242,0.2068,"On the maximal dimension of a completely entangled subspace for finite level quantum systems",2004,"https://doi.org/10.1007/bf02829441",1],[2,-0.7945,-0.2895,"THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY",1967,"https://doi.org/10.1070/im1967v001n04abeh000591",1],[2,0.7431,0.4064,"Errata to: “Finite Automata and Unary Languages”",2003,"https://doi.org/10.1016/s0304-3975(03)00136-1",1],[2,0.7904,0.2186,"Permanent and determinant",1987,"https://doi.org/10.1016/0024-3795(87)90337-5",1],[2,0.7421,0.2032,"On two extremal matrix problems",1989,"https://doi.org/10.1016/0024-3795(89)90465-5",1],[2,0.5073,0.4827,"Joinings and multiple mixing of finite rank actions",1993,"https://doi.org/10.1007/bf01085983",1],[2,0.5729,-0.4669,"4-folds with numerically effective tangent bundles and second Betti numbers greater than one",1993,"https://doi.org/10.1007/bf02568341",1],[2,-0.7863,0.2234,"Mutually unbiased bases and semi-definite programming",2010,"https://doi.org/10.1088/1742-6596/254/1/012008",1],[2,-0.1384,-0.8418,"A gradient bound and a liouville theorem for nonlinear poisson equations",1985,"https://doi.org/10.1002/cpa.3160380515",1],[2,0.0217,-0.7128,"A Family of Calabi–Yau Varieties and Potential Automorphy II",2011,"https://doi.org/10.2977/prims/31",1],[2,-0.5922,0.278,"Localization at large disorder and at extreme energies: An elementary derivations",1993,"https://doi.org/10.1007/bf02099760",2],[2,-0.2717,0.7557,"Determinantal probability measures",2003,"https://doi.org/10.1007/s10240-003-0016-0",1],[2,-0.6611,-0.0493,"Hochschild cohomology and perturbations of Banach algebras",1977,"https://doi.org/10.1016/0022-1236(77)90072-6",2],[2,-0.0965,0.6318,"Catégories dérivées et variétés de Deligne-Lusztig",2003,"https://doi.org/10.1007/s10240-003-0013-3",2],[2,0.156,-0.8441,"On Kloosterman's sum",1961,"https://doi.org/10.1112/s0025579300002187",1],[2,-0.6792,0.4648,"The 𝐾(𝜋,1)-problem for hyperplane complements associated to infinite reflection groups",1995,"https://doi.org/10.1090/s0894-0347-1995-1303028-9",1],[2,-0.2122,-0.7559,"Carleman estimate for a stationary isotropic Lamé system and the applications",2004,"https://doi.org/10.1080/00036810310001632772",1],[2,0.1575,-0.8276,"On the foundations of combinatorial theory I. Theory of M�bius Functions",1964,"https://doi.org/10.1007/bf00531932",1],[2,0.1883,0.7657,"New restrictions on possible orders of circulant Hadamard matrices",2011,"https://doi.org/10.1007/s10623-011-9493-1",1],[2,0.7775,0.1379,"On the Complexity of Numerical Analysis",2009,"https://doi.org/10.1137/070697926",1],[2,0.3264,0.7991,"From moment graphs to intersection cohomology",2001,"https://doi.org/10.1007/s002080100232",1],[2,0.4942,-0.446,"Complex projective surfaces and infinite groups",1998,"https://doi.org/10.1007/s000390050055",2],[2,0.6832,-0.4491,"Surfaces of class ${\\rm VII}_{0}$ with curves",1981,"https://doi.org/10.2748/tmj/1178229349",1],[2,-0.3674,0.7402,"An Efron-Stein Inequality for Nonsymmetric Statistics",1986,"https://doi.org/10.1214/aos/1176349952",1],[2,0.852,0.0626,"Packing directed circuits fractionally",1995,"https://doi.org/10.1007/bf01200760",1],[2,-0.3384,-0.4237,"Real homotopy theory of semi-algebraic sets",2011,"https://doi.org/10.2140/agt.2011.11.2477",2],[2,-0.1382,-0.8003,"Monotonicity of the Energy for Entire Solutions of Semilinear Elliptic Equations",1989,"https://doi.org/10.1007/978-1-4615-9831-2_14",1],[2,0.8225,0.0879,"Lp metrics on the Heisenberg group and the Goemans-Linial conjecture",2006,"https://doi.org/10.1109/focs.2006.47",1],[2,0.0144,-0.657,"The Iwasawa Invariant μ p Vanishes for Abelian Number Fields",1979,"https://doi.org/10.2307/1971116",2],[2,0.6253,-0.4287,"On the automorphism group of a certain class of algebraic manifolds",1959,"https://doi.org/10.2748/tmj/1178244581",1],[2,0.3072,0.5877,"Primitive Recursive Bounds for Van Der Waerden Numbers",1988,"https://doi.org/10.1090/s0894-0347-1988-0929498-x",2],[2,0.2441,-0.605,"Congruence subgroup problem for anisotropic groups over semilocal rings",1991,"https://doi.org/10.1007/bf02868019",2],[2,0.822,0.1372,"Multiparty protocols, pseudorandom generators for logspace, and time-space trade-offs",1992,"https://doi.org/10.1016/0022-0000(92)90047-m",1],[2,-0.215,0.6178,"Critical percolation in finite geometries",1992,"https://doi.org/10.1088/0305-4470/25/4/009",6],[2,-0.694,0.483,"Topology of the complement of real hyperplanes in ? N",1987,"https://doi.org/10.1007/bf01391833",1],[2,-0.1117,-0.7413,"Fiber Brownian motion and the \"hot spots\" problem",2000,"https://doi.org/10.1215/s0012-7094-00-10512-1",1],[2,-0.5135,-0.3968,"The dual of the James tree space is asymptotically uniformly convex",2001,"https://doi.org/10.4064/sm147-2-2",5],[2,-0.7353,0.2301,"A Mathematical Theory of Communication",1948,"https://doi.org/10.1002/j.1538-7305.1948.tb00917.x",1],[2,-0.0317,-0.0362,"Isometries, rigidity and universal covers",2008,"https://doi.org/10.4007/annals.2008.168.915",2],[2,0.8427,-0.0238,"Assouad’s theorem with dimension independent of the snowflaking",2012,"https://doi.org/10.4171/rmi/706",1],[2,0.7397,0.2373,"On approximating arbitrary metrices by tree metrics",1998,"https://doi.org/10.1145/276698.276725",1],[2,0.6497,-0.4197,"CLASSIFICATION OF SURFACES OF CLASS VII0WITHb2= 0",1976,"https://doi.org/10.1070/im1976v010n02abeh001688",1],[2,-0.6806,-0.5363,"On 𝐽-convexity and some ergodic super-properties of Banach spaces",1975,"https://doi.org/10.1090/s0002-9947-1975-0380361-2",1],[2,0.489,0.6456,"Integer Sets Containing No Arithmetic Progressions",1987,"https://doi.org/10.1112/jlms/s2-35.3.385",1],[2,0.7555,0.4186,"Nondeterminism is essential in small two-way finite automata with few reversals",2012,"https://doi.org/10.1016/j.ic.2012.11.001",1],[2,-0.4618,0.6809,"Superadditivity of Fisher's information and logarithmic Sobolev inequalities",1991,"https://doi.org/10.1016/0022-1236(91)90155-x",1],[2,0.5318,-0.4979,"Mirror symmetry is T-duality",1996,"https://doi.org/10.1016/0550-3213(96)00434-8",1],[2,-0.6044,-0.4161,"Holomorphic Semi-Groups and the Geometry of Banach Spaces",1982,"https://doi.org/10.2307/1971396",1],[2,-0.7276,0.4755,"UNIFORMLY BOUNDED REPRESENTATIONS OF GROUPS",1955,"https://doi.org/10.1073/pnas.41.4.231",1],[2,-0.6718,0.4675,"On a Theorem of Ian Hughes About Division Rings of Fractions",2004,"https://doi.org/10.1081/agb-120027970",1],[2,0.6907,-0.284,"Extremal length and functional completion",1957,"https://doi.org/10.1007/bf02404474",1],[2,-0.1833,0.7695,"Holomorphic Spinor Observables in the Critical Ising Model",2013,"https://doi.org/10.1007/s00220-013-1763-5",1],[2,-0.8149,0.2877,"On Israel–Wilson–Perjés black holes",2006,"https://doi.org/10.1088/0264-9381/23/7/018",1],[2,-0.4946,0.7018,"Asymptotic direction of random walks in Dirichlet environment",2015,"https://doi.org/10.1214/13-aihp582",1],[2,0.7208,0.0425,"Geometric bounds on the Ornstein-Uhlenbeck velocity process",1985,"https://doi.org/10.1007/bf00532234",1],[2,0.2681,-0.6579,"ON THE REDUCED NORM 1 GROUP OF A DIVISION ALGEBRA OVER A GLOBAL FIELD",1992,"https://doi.org/10.1070/im1992v039n01abeh002231",1],[2,0.5253,-0.4036,"Relations Between the Correlators of the Topological Sigma-Model Coupled to Gravity",1998,"https://doi.org/10.1007/s002200050426",2],[2,-0.3321,0.6871,"Coexistence in two-type first-passage percolation models",2005,"https://doi.org/10.1214/105051604000000503",1],[2,-0.2028,0.6753,"Comparison of the O(3) bootstrap σ model with lattice regularization at low energies",1999,"https://doi.org/10.1103/physrevd.60.094508",1],[2,0.4181,-0.6598,"Global Generation of Pluricanonical and Adjoint Linear Series on Smooth Projective Threefolds",1993,"https://doi.org/10.1090/s0894-0347-1993-1207013-5",1],[2,0.3732,-0.5941,"Effective freeness and point separation for adjoint bundles",1995,"https://doi.org/10.1007/bf01231446",1],[2,0.0398,-0.6438,"Construction des représentations p-adiques semi-stables",2000,"https://doi.org/10.1007/s002220000042",2],[2,0.6335,-0.4525,"Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups",1982,"https://doi.org/10.2748/tmj/1178229158",1],[2,-0.5991,0.2175,"Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes",2008,"https://doi.org/10.4310/atmp.2008.v12.n4.a5",2],[2,0.8133,-0.1595,"Existence and uniqueness of monotone measure-preserving maps",1995,"https://doi.org/10.1215/s0012-7094-95-08013-2",1],[2,0.3888,-0.5214,"Periods of integrals on algebraic manifolds, III (Some global differential-geometric properties of the period mapping)",1970,"https://doi.org/10.1007/bf02684654",3],[2,0.3904,0.7584,"Decoupling Inequalities for the Tail Probabilities of Multivariate $U$-Statistics",1995,"https://doi.org/10.1214/aop/1176988291",1],[2,0.3615,-0.5321,"Cor�duction alg�brique d'un espace analytique faiblement K�hl�rien compact",1981,"https://doi.org/10.1007/bf01393876",3],[2,-0.7199,0.1818,"An operational approach to quantum probability",1970,"https://doi.org/10.1007/bf01647093",1],[2,0.3944,-0.7149,"Some Remarks on the Semipositivity Theorems",2014,"https://doi.org/10.4171/prims/125",1],[2,0.6209,0.3492,"CREW PRAMS and decision trees",1989,"https://doi.org/10.1145/73007.73038",1],[2,0.0063,-0.7481,"On elliptic curves y2=x3−n2x with rank zero",2004,"https://doi.org/10.1016/j.jnt.2003.12.015",1],[2,0.5795,-0.4838,"FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY",1995,"https://doi.org/10.1142/s0129167x95000146",1],[2,-0.0496,0.5776,"Phase transitions and reflection positivity. I. General theory and long range lattice models",1978,"https://doi.org/10.1007/bf01940327",10],[2,0.6337,-0.1929,"Asymptotic behavior of the chromatic index for hypergraphs",1989,"https://doi.org/10.1016/0097-3165(89)90074-5",3],[2,0.2044,0.6089,"Edge-Disjoint Spanning Trees of Finite Graphs",1961,"https://doi.org/10.1112/jlms/s1-36.1.445",2],[2,-0.7516,-0.2136,"A p-adic analogue of the Borel regulator and the Bloch–Kato exponential map",2010,"https://doi.org/10.1017/s1474748010000216",1],[2,-0.2427,0.6175,"Reconstruction for the Potts model",2011,"https://doi.org/10.1214/10-aop584",3],[2,-0.0198,-0.0037,"Démonstration d’une hypothèse de M. Artin",1935,"https://doi.org/10.1007/bf02940714",2],[2,-0.6385,0.2114,"Means of positive linear operators",1980,"https://doi.org/10.1007/bf01371042",2],[2,0.7311,-0.1314,"Excluded minors, network decomposition, and multicommodity flow",1993,"https://doi.org/10.1145/167088.167261",1],[2,0.7019,-0.2638,"Almost Everywhere Convergent Fourier Series",2011,"https://doi.org/10.1007/s00041-011-9199-9",1],[2,0.1522,-0.8223,"On additive decompositions of the set of primes",1996,"https://doi.org/10.1007/bf01189097",1],[2,-0.6129,0.2059,"Structure of the singularity inside a realistic rotating black hole",1992,"https://doi.org/10.1103/physrevlett.68.2117",3],[2,-0.5147,0.4208,"THE SOLUTION OF SETS OF EQUATIONS IN GROUPS",1962,"https://doi.org/10.1073/pnas.48.9.1531",3],[2,0.3582,-0.7826,"On the Piatetski-Shapiro-Vinogradov theorem",1997,"https://doi.org/10.5802/jtnb.186",1],[2,0.6232,0.4057,"Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order",2014,"https://doi.org/10.1007/s00440-014-0579-3",1],[2,-0.1911,0.633,"Absence of Ordering in Certain Classical Systems",1967,"https://doi.org/10.1063/1.1705316",3],[2,-0.1088,0.7435,"Finite group actions and étale cohomology",1994,"https://doi.org/10.1007/bf02698896",1],[2,0.0556,-0.6534,"F-isocrystals and de Rham cohomology. I",1983,"https://doi.org/10.1007/bf01389319",2],[2,-0.329,0.666,"Differentiability at the edge of the percolation cone and related results in first-passage percolation",2012,"https://doi.org/10.1007/s00440-012-0425-4",1],[2,0.0914,-0.7662,"Invariant functions on Lie groups and Hamiltonian flows of surface group representations",1986,"https://doi.org/10.1007/bf01389091",1],[2,0.6684,-0.334,"Local smoothing of Fourier integral operators and Carleson-Sjölin estimates",1993,"https://doi.org/10.1090/s0894-0347-1993-1168960-6",1],[2,-0.7103,-0.1097,"The analogues of entropy and of Fisher's information measure in free probability theory",1998,"https://doi.org/10.1007/s002220050222",1],[2,-0.5945,-0.445,"On Banach spaces whose dual balls are not weak∗ sequentially compact",1977,"https://doi.org/10.1007/bf02760638",1],[2,-0.4599,-0.6921,"A Compactness Property for Solutions of the Ricci Flow",1995,"https://doi.org/10.2307/2375080",1],[2,-0.6841,0.4713,"Parabolic Subgroups of Artin Groups",1997,"https://doi.org/10.1006/jabr.1997.7098",1],[2,-0.4902,0.3668,"Some inequalities satisfied by the quantities of information of Fisher and Shannon",1959,"https://doi.org/10.1016/s0019-9958(59)90348-1",2],[2,0.2998,0.5943,"Ryser's Conjecture for Tripartite 3-Graphs",2001,"https://doi.org/10.1007/s004930170001",2],[2,-0.3138,0.584,"On one property of Derrida–Ruelle cascades",2007,"https://doi.org/10.1016/j.crma.2007.10.035",4],[2,-0.2539,-0.6041,"Nodal sets of eigenfunctions on Reimannian manifolds",1988,"https://doi.org/10.1007/bf01393691",3],[2,-0.5974,0.2746,"Schrieffer–Wolff transformation for quantum many-body systems",2011,"https://doi.org/10.1016/j.aop.2011.06.004",2],[2,-0.2349,0.6077,"On the purity of the limiting gibbs state for the Ising model on the Bethe lattice",1995,"https://doi.org/10.1007/bf02179399",3],[2,-0.7551,-0.1447,"A density theorem for operator algebras",1967,"https://doi.org/10.1215/s0012-7094-67-03467-9",1],[2,-0.7952,0.117,"Conformal Covariance and Positivity of Energy in Charged Sectors",2006,"https://doi.org/10.1007/s00220-006-1536-5",1],[2,0.6402,0.1188,"Mean Cost Cyclical Games",1999,"https://doi.org/10.1287/moor.24.4.817",2],[2,0.4253,-0.5975,"Some new algebraic cycles on Fermat varieties",1987,"https://doi.org/10.2969/jmsj/03930385",1],[2,-0.7703,0.0006,"Amenability and uniqueness",2013,"https://doi.org/10.1016/j.aim.2013.02.018",1],[2,0.8139,-0.0342,"Convergence A.S. of Rearranged Random Series in Banach Space and Associated Inequalities",1994,"https://doi.org/10.1007/978-1-4612-0253-0_1",1],[2,-0.5068,-0.4338,"Lipschitz-free Banach spaces",2003,"https://doi.org/10.4064/sm159-1-6",3],[2,0.4546,-0.4723,"Complex Analytic Connections in Fibre Bundles",1957,"https://doi.org/10.1090/s0002-9947-1957-0086359-5",2],[2,0.7334,0.0882,"A Simple Algorithm for Finding Maximal Network Flows and an Application to the Hitchcock Problem",1957,"https://doi.org/10.4153/cjm-1957-024-0",1],[2,0.6596,0.0406,"Analytical approach to parallel repetition",2014,"https://doi.org/10.1145/2591796.2591884",4],[2,0.4388,0.5722,"On the Bogolyubov–Ruzsa lemma",2012,"https://doi.org/10.2140/apde.2012.5.627",1],[2,0.3569,0.6559,"On Positive-Definite Functions",1956,"https://doi.org/10.1112/plms/s3-6.4.548",1],[2,-0.0514,0.7159,"A path model for geodesics in Euclidean buildings and its applications to representation theory",2008,"https://doi.org/10.4171/ggd/46",1],[2,0.5026,-0.6053,"The Zariski-Lipman conjecture for log canonical spaces",2014,"https://doi.org/10.1112/blms/bdu040",1],[2,0.5667,-0.4445,"Gromov–Witten Invariants of Toric Fibrations",2013,"https://doi.org/10.1093/imrn/rnt030",1],[2,-0.1185,0.7519,"On Non-Computable Functions",1962,"https://doi.org/10.1002/j.1538-7305.1962.tb00480.x",1],[2,0.8652,-0.1055,"Hessian metrics, $CD(K,N)$-spaces, and optimal transportation of log-concave measures",2013,"https://doi.org/10.3934/dcds.2014.34.1511",1],[2,-0.6877,0.2088,"The Entropy Photon-Number Inequality and its consequences",2008,"https://doi.org/10.1109/ita.2008.4601037",1],[2,-0.5895,-0.6369,"Universal realisators for homology classes",2013,"https://doi.org/10.2140/gt.2013.17.1745",1],[2,-0.654,-0.5151,"Partial estimation of covariance matrices",2011,"https://doi.org/10.1007/s00440-011-0349-4",1],[2,0.8003,0.2939,"Positivity improving operators and hypercontractivity",1982,"https://doi.org/10.1007/bf01318906",1],[2,0.3443,-0.7937,"Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen",1924,"https://doi.org/10.1007/bf01448437",1],[2,-0.6282,0.2057,"One-and-a-Half Quantum de Finetti Theorems",2007,"https://doi.org/10.1007/s00220-007-0189-3",2],[2,-0.7992,-0.0297,"H-type groups and Iwasawa decompositions",1991,"https://doi.org/10.1016/0001-8708(91)90060-k",1],[2,0.8031,0.2914,"Iterated path integrals",1977,"https://doi.org/10.1090/s0002-9904-1977-14320-6",1],[2,0.657,-0.5579,"Strong rigidity of positive quaternion-K�hler manifolds",1994,"https://doi.org/10.1007/bf01231528",1],[2,-0.7407,0.0814,"Extensions of Conformal Nets¶and Superselection Structures",1998,"https://doi.org/10.1007/s002200050297",1],[2,-0.2144,0.6204,"An upper bound for permanents of nonnegative matrices",2007,"https://doi.org/10.1016/j.jcta.2007.05.010",2],[2,-0.7083,-0.2981,"A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES",1931,"https://doi.org/10.1093/qmath/os-2.1.1-a",1],[2,0.5807,-0.539,"Fibrations of topological stacks",2013,"https://doi.org/10.1016/j.aim.2013.11.008",1],[2,0.6212,0.149,"Computing Partitions with Applications to the Knapsack Problem",1974,"https://doi.org/10.1145/321812.321823",2],[2,0.6017,0.4042,"The Geometry of Algorithms with Orthogonality Constraints",1998,"https://doi.org/10.1137/s0895479895290954",1],[2,-0.7021,0.1532,"Inequalities for Trace Norms of 2 ? 2 Block Matrices",2003,"https://doi.org/10.1007/s00220-003-0955-9",1],[2,0.808,-0.1684,"Shadow Systems and Volumes of Polar Convex Bodies",2006,"https://doi.org/10.1112/s0025579300000061",1],[2,0.6187,-0.2095,"On the two-dimensional bilinear Hilbert transform",2010,"https://doi.org/10.1353/ajm.0.0101",2],[2,-0.6239,-0.5685,"Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings",2005,"https://doi.org/10.1016/j.jfa.2005.09.002",1],[2,-0.7159,-0.03,"Central measures on compact simple Lie groups",1972,"https://doi.org/10.1016/0022-1236(72)90050-x",1],[2,-0.2481,0.7999,"Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State",1963,"https://doi.org/10.1103/physrev.130.1605",1],[2,-0.788,0.1521,"Every Prime Has a Succinct Certificate",1975,"https://doi.org/10.1137/0204018",1],[2,0.5883,-0.2775,"Some analytic problems related to statistical mechanics",1980,"https://doi.org/10.1007/bfb0087666",2],[2,0.0101,0.7993,"Projectivity and relative projectivity over group rings",1976,"https://doi.org/10.1016/0022-4049(76)90055-4",1],[2,-0.7017,0.1699,"Separating the polynomial-time hierarchy by oracles",1985,"https://doi.org/10.1109/sfcs.1985.49",1],[2,-0.0739,0.7164,"Liftings and Weak Liftings of Modules",1993,"https://doi.org/10.1006/jabr.1993.1076",1],[2,0.2493,-0.6167,"Beauville surfaces and finite simple groups",2011,"https://doi.org/10.1515/crelle.2011.117",2],[2,-0.7765,-0.1016,"On the polar decomposition of circular variables",1996,"https://doi.org/10.1007/bf01204607",1],[2,-0.714,-0.0082,"Mean topological dimension",2000,"https://doi.org/10.1007/bf02810577",1],[2,-0.469,0.6906,"Universality of random matrices and local relaxation flow",2010,"https://doi.org/10.1007/s00222-010-0302-7",1],[2,-0.1478,-0.8121,"A Harnack Inequality Approach to the Regularity of Free Boundaries. Part I: Lipschitz Free Boundaries are $C^{1, \\alpha}$",1987,"https://doi.org/10.4171/rmi/47",1],[2,0.0539,0.1354,"A lattice-theoretical fixpoint theorem and its applications",1955,"https://doi.org/10.2140/pjm.1955.5.285",2],[2,0.8025,-0.3268,"Regularity of the Hardy–Littlewood maximal operator on block decreasing functions",2009,"https://doi.org/10.4064/sm194-3-3",1],[2,0.5237,-0.5357,"Crepant Blowing-Up of 3-Dimensional Canonical Singularities and Its Application to Degenerations of Surfaces",1988,"https://doi.org/10.2307/1971417",1],[2,-0.1535,-0.2381,"Groupes réductifs sur un corps local : II. Schémas en groupes. Existence d'une donnée radicielle valuée",1984,"https://doi.org/10.1007/bf02700560",2],[2,-0.8159,-0.0102,"Nilpotence and Stable Homotopy Theory I",1988,"https://doi.org/10.2307/1971440",1],[2,0.6589,0.4468,"Random matrix theory",2005,"https://doi.org/10.1017/s0962492904000236",1],[2,-0.3203,0.6584,"Strict Convexity of the Limit Shape in First-Passage Percolation",2003,"https://doi.org/10.1214/ecp.v8-1089",1],[2,-0.4922,-0.4307,"Bounds for Analytical Functions of Matrices",2004,"https://doi.org/10.1007/s00020-002-1188-6",2],[2,-0.1566,-0.7838,"Differentiability of Lipschitz Functions, Structure of Null Sets, and Other Problems",2011,"https://doi.org/10.1142/9789814324359_0101",1],[2,0.6442,-0.4751,"Algebraic surfaces holomorphically dominable by ℂ 2",2000,"https://doi.org/10.1007/s002220050021",1],[2,-0.128,-0.6246,"Diffeomorphisms of the 2-sphere",1959,"https://doi.org/10.1090/s0002-9939-1959-0112149-8",2],[2,-0.3756,0.5511,"The zero-one law for planar random walks in i.i.d. random environments revisited",2007,"https://doi.org/10.1214/ecp.v12-1314",2],[2,0.0631,0.8178,"Intersection theory using Adams operations",1987,"https://doi.org/10.1007/bf01388705",1],[2,0.3415,0.5729,"Counting independent sets in graphs",2015,"https://doi.org/10.1016/j.ejc.2015.02.005",2],[2,-0.7325,-0.2816,"A-generators for ideals in the Dickson algebra",2001,"https://doi.org/10.1016/s0022-4049(00)00051-7",1],[2,0.3076,-0.7919,"Perverse t-structure on Artin stacks",2008,"https://doi.org/10.1007/s00209-008-0348-z",1],[2,0.7459,0.081,"Affine Grassmann Codes",2010,"https://doi.org/10.1109/tit.2010.2048470",1],[2,-0.615,0.1759,"Optimal state-determination by mutually unbiased measurements",1989,"https://doi.org/10.1016/0003-4916(89)90322-9",2],[2,-0.4212,0.606,"Slowdown estimates for ballistic random walk in random environment",2011,"https://doi.org/10.4171/jems/298",1],[2,-0.7507,-0.3678,"A topological characterisation of hyperbolic groups",1998,"https://doi.org/10.1090/s0894-0347-98-00264-1",1],[2,0.6699,-0.4575,"Champs magnétiques et inégalités de Morse pour la d ' ' -cohomologie",1985,"https://doi.org/10.5802/aif.1034",1],[2,-0.4043,-0.7688,"The Seiberg-Witten invariants and symplectic forms",1994,"https://doi.org/10.4310/mrl.1994.v1.n6.a15",1],[2,-0.2062,0.7952,"Calculation of norms of Bethe wave functions",1982,"https://doi.org/10.1007/bf01212176",1],[2,-0.1011,0.7694,"Maximal fields with valuations",1942,"https://doi.org/10.1215/s0012-7094-42-00922-0",1],[2,0.6438,-0.1402,"From the Mahler Conjecture to Gauss Linking Integrals",2008,"https://doi.org/10.1007/s00039-008-0669-4",2],[2,-0.7859,0.1625,"Bregman divergence as relative operator entropy",2007,"https://doi.org/10.1007/s10474-007-6014-9",1],[2,-0.4725,0.7353,"Multiplicity of Phase Transitions and Mean-Field Criticality on Highly Non-Amenable Graphs",2001,"https://doi.org/10.1007/s002200100417",1],[2,-0.2482,0.7644,"Inequalities for Ising models and field theories which obey the Lee-Yang Theorem",1975,"https://doi.org/10.1007/bf01608542",1],[2,0.057,-0.856,"ℓ-adic Representations Associated to Modular Forms over Imaginary Quadratic Fields",2007,"https://doi.org/10.1093/imrn/rnm113",1],[2,-0.6304,0.2272,"Present status of the Penrose inequality",2009,"https://doi.org/10.1088/0264-9381/26/19/193001",2],[2,0.5507,-0.6201,"A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications",1968,"https://doi.org/10.2307/1970721",1],[2,-0.6213,0.145,"A lower bound method for quantum circuits",2011,"https://doi.org/10.1016/j.ipl.2011.05.002",2],[2,-0.6446,0.3129,"Nash inequalities for finite Markov chains",1996,"https://doi.org/10.1007/bf02214660",1],[2,-0.1907,0.6398,"On the 1/n expansion",1980,"https://doi.org/10.1007/bf01197703",4],[2,0.7139,-0.4674,"On Imbeddings into Orlicz Spaces and Some Applications",1967,"https://doi.org/10.1512/iumj.1968.17.17028",1],[2,-0.7591,0.3545,"Moment analysis for localization in random Schrödinger operators",2005,"https://doi.org/10.1007/s00222-005-0463-y",1],[2,0.8641,0.0802,"Conditional Hardness for Approximate Coloring",2009,"https://doi.org/10.1137/07068062x",1],[2,-0.6132,0.254,"Nearest-neighbor walks with low predictability profile and percolation in $2+\\epsilon$ dimensions",1998,"https://doi.org/10.1214/aop/1022855750",2],[2,0.3338,0.5777,"Lower bound of the hadwiger number of graphs by their average degree",1984,"https://doi.org/10.1007/bf02579141",2],[2,-0.4327,-0.6657,"The first eigenvalue of the Laplacian on spheres",1979,"https://doi.org/10.2748/tmj/1178229837",1],[2,-0.0896,0.7374,"Topological Hochschild homology and the Bass trace conjecture",2013,"https://doi.org/10.1515/crelle-2013-0051",1],[2,-0.1997,0.6263,"The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas",1981,"https://doi.org/10.1007/bf01208273",8],[2,-0.0611,0.8674,"Symmetric quivers, invariant theory, and saturation theorems for the classical groups",2011,"https://doi.org/10.1016/j.aim.2011.10.009",1],[2,-0.3588,0.6484,"Perceptron capacity revisited: classification ability for correlated patterns",2008,"https://doi.org/10.1088/1751-8113/41/32/324013",1],[2,0.5928,0.4005,"A Randomized Kaczmarz Algorithm with Exponential Convergence",2008,"https://doi.org/10.1007/s00041-008-9030-4",1],[2,-0.3691,0.7568,"Linear growth for greedy lattice animals",2002,"https://doi.org/10.1016/s0304-4149(01)00142-9",1],[2,0.3578,-0.5569,"Existence of log canonical flips and a special LMMP",2012,"https://doi.org/10.1007/s10240-012-0039-5",5],[2,-0.685,0.5394,"The solution of length three equations over groups",1983,"https://doi.org/10.1017/s0013091500028108",1],[2,0.364,-0.535,"The commuting derivations conjecture",2003,"https://doi.org/10.1016/s0022-4049(02)00198-6",2],[2,-0.1464,-0.7587,"Power Diagrams: Properties, Algorithms and Applications",1987,"https://doi.org/10.1137/0216006",1],[2,0.1642,0.8297,"Exact and approximate results for deposition and annihilation processes on graphs",2005,"https://doi.org/10.1214/105051604000000765",1],[2,0.4229,0.1847,"�ber partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und �ber die Transformation der Doppelintegrale",1919,"https://doi.org/10.1007/bf01498415",2],[2,0.6984,0.2813,"TWO THEOREMS IN GRAPH THEORY",1957,"https://doi.org/10.1073/pnas.43.9.842",1],[2,0.1394,-0.6396,"LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS",1967,"https://doi.org/10.1070/rm1967v022n05abeh001224",3],[2,0.6852,-0.4512,"Conditions for the analyticity of certian sets.",1964,"https://doi.org/10.1307/mmj/1028999180",1],[2,-0.2482,0.7394,"Hook young diagrams, combinatorics and representations of Lie superalgebras",1983,"https://doi.org/10.1090/s0273-0979-1983-15110-8",1],[2,0.3223,0.7013,"Coloring Graphs with Sparse Neighborhoods",1999,"https://doi.org/10.1006/jctb.1999.1910",1],[2,0.2719,-0.6465,"Transcendance et exponentielles en plusieurs variables",1981,"https://doi.org/10.1007/bf01389195",1],[2,-0.2089,0.6163,"Scaling limits of loop-erased random walks and uniform spanning trees",2000,"https://doi.org/10.1007/bf02803524",7],[2,-0.4908,0.5736,"An undecidable arithmetical statement",1949,"https://doi.org/10.4064/fm-36-1-143-164",1],[2,0.2628,0.5812,"Sharp Bounds For Some Multicolor Ramsey Numbers",2005,"https://doi.org/10.1007/s00493-005-0011-9",2],[2,0.0314,-0.7625,"ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES",2006,"https://doi.org/10.1017/s1474748006000089",1],[2,0.6621,0.4047,"Explicit constructions of linear-sized superconcentrators",1981,"https://doi.org/10.1016/0022-0000(81)90040-4",1],[2,-0.3775,0.6757,"The sphericalp-spin interaction spin glass model: the statics",1992,"https://doi.org/10.1007/bf01309287",1],[2,-0.6514,-0.0566,"Conne’s bicentralizer problem and uniqueness of the injective factor of type III1",1987,"https://doi.org/10.1007/bf02392257",3],[2,0.4534,0.4836,"Nonergodicity and localization of invariant measure for two colliding masses",2014,"https://doi.org/10.1103/physreve.89.042918",2],[2,0.8098,0.2334,"An improved exponential-time algorithm for k -SAT",2005,"https://doi.org/10.1145/1066100.1066101",1],[2,-0.2274,0.5963,"Dominos and the Gaussian Free Field",2001,"https://doi.org/10.1214/aop/1015345599",4],[2,0.4353,0.6404,"Arbitrary versus periodic storage schemes and tessellations of the plane using one type of polyomino",1984,"https://doi.org/10.1016/s0019-9958(84)80007-8",1],[2,-0.1803,-0.6303,"A Global Uniqueness Theorem for an Inverse Boundary Value Problem",1987,"https://doi.org/10.2307/1971291",4],[2,-0.5348,-0.6125,"Analytic Proofs of the \"Hairy Ball Theorem\" and the Brouwer Fixed Point Theorem",1978,"https://doi.org/10.1080/00029890.1978.11994635",1],[2,-0.4564,0.6366,"Boundary partitions in trees and dimers",2010,"https://doi.org/10.1090/s0002-9947-2010-04964-5",1],[2,-0.4558,0.7017,"Percolation on a product of two trees",2011,"https://doi.org/10.1214/10-aop618",1],[2,0.6824,0.2588,"An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space",1997,"https://doi.org/10.1214/aop/1024404285",1],[2,-0.7103,0.2954,"ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS",1999,"https://doi.org/10.1142/s0129055x99000155",1],[2,-0.3568,0.2418,"Random walk in random groups",2003,"https://doi.org/10.1007/s000390300002",6],[2,0.6917,0.1145,"Undirected connectivity in log-space",2008,"https://doi.org/10.1145/1391289.1391291",1],[2,-0.2328,0.2837,"Cohomology of Groups",1976,"https://doi.org/10.1007/978-1-4684-9327-6",4],[2,-0.1207,0.7584,"A constructive approach to the finite congruence lattice representation problem",2000,"https://doi.org/10.1007/s000120050159",1],[2,0.7866,0.0875,"Differentiating maps intoL1, and the geometry ofBVfunctions",2010,"https://doi.org/10.4007/annals.2010.171.1347",1],[2,-0.1581,0.625,"Divergence of the correlation length for critical planar FK percolation with 1 ⩽q⩽ 4 via parafermionic observables",2012,"https://doi.org/10.1088/1751-8113/45/49/494013",2],[2,-0.7946,0.1959,"Low-rank positive-partial-transpose states and their relation to product vectors",2012,"https://doi.org/10.1103/physreva.85.022309",1],[2,0.6148,0.3892,"Fast Simulations of Time-Bounded One-Tape Turing Machines by Space-Bounded Ones",1990,"https://doi.org/10.1137/0219034",1],[2,0.0663,-0.8238,"Siegel's Theorem in the Compact Case",1991,"https://doi.org/10.2307/2944318",1],[2,0.2239,0.7786,"Uniform generation of random regular graphs of moderate degree",1990,"https://doi.org/10.1016/0196-6774(90)90029-e",1],[2,0.5124,0.5564,"Volume growth and entropy",1987,"https://doi.org/10.1007/bf02766215",1],[2,-0.2021,0.6791,"On the evaluation of universal non-perturbative constants in O(N) σ models",1997,"https://doi.org/10.1016/s0370-2693(97)00456-5",1],[2,-0.6076,0.4083,"An infinite-dimensional torsion-freeFP ? group",1984,"https://doi.org/10.1007/bf01388451",1],[2,-0.5395,0.0479,"An example of a non nuclearC *-algebra, which has the metric approximation property",1978,"https://doi.org/10.1007/bf01410082",5],[2,-0.7966,-0.0767,"On the best constants in noncommutative Khintchine-type inequalities",2007,"https://doi.org/10.1016/j.jfa.2007.05.014",1],[2,-0.671,-0.4622,"Projections onto Hilbertian subspaces of Banach spaces",1979,"https://doi.org/10.1007/bf02760556",1],[2,-0.3093,-0.6292,"3-manifolds with(out) metrics of nonpositive curvature",1995,"https://doi.org/10.1007/bf01231445",1],[2,-0.2696,0.6083,"Hölder regularity and dimension bounds for random curves",1999,"https://doi.org/10.1215/s0012-7094-99-09914-3",6],[2,0.205,-0.5031,"Berichtigung : Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen",1963,"https://doi.org/10.1007/bf02684291",4],[2,-0.0474,-0.6512,"Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture",2000,"https://doi.org/10.1088/0951-7715/13/2/306",3],[2,-0.4289,-0.5093,"Regularity of Potential Functions of the Optimal Transportation Problem",2005,"https://doi.org/10.1007/s00205-005-0362-9",2],[2,-0.6459,-0.0559,"Perturbations of C*-Algebraic Invariants",2010,"https://doi.org/10.1007/s00039-010-0070-y",2],[2,-0.767,0.368,"Theorems on the Partition Functions of the Heisenberg Ferromagnets",1970,"https://doi.org/10.1143/jpsj.29.350",1],[2,0.1968,-0.5806,"Splitting metaplectic covers of dual reductive pairs",1994,"https://doi.org/10.1007/bf02773003",2],[2,0.0821,-0.7808,"On the power free values of polynomials",1967,"https://doi.org/10.1112/s002557930000797x",1],[2,0.2971,0.8094,"Systems of distinct representatives and linear algebra",1967,"https://doi.org/10.6028/jres.071b.033",1],[2,0.1154,-0.1534,"The large sieve",1973,"https://doi.org/10.1112/s0025579300004708",3],[2,-0.3373,0.5557,"Random symmetric matrices are almost surely nonsingular",2006,"https://doi.org/10.1215/s0012-7094-06-13527-5",2],[2,-0.5247,0.062,"The mass of an asymptotically flat manifold",1986,"https://doi.org/10.1002/cpa.3160390505",5],[2,0.2827,-0.7224,"Local models of Shimura varieties and a conjecture of Kottwitz",2012,"https://doi.org/10.1007/s00222-012-0442-z",1],[2,0.5123,0.478,"A class of pairwise-independent joinings",2008,"https://doi.org/10.1017/s0143385707000958",1],[2,-0.7621,-0.319,"Triangular Witt Groups Part I: The 12-Term Localization Exact Sequence",2000,"https://doi.org/10.1023/a:1007844609552",1],[2,0.0252,-0.6518,"Residually reductible representations and modular forms",1999,"https://doi.org/10.1007/bf02698855",2],[2,0.6282,-0.1923,"On a Hypergraph Matching Problem",2005,"https://doi.org/10.1007/s00373-005-0628-x",3],[2,-0.7905,0.2423,"A generalization of the entropy power inequality to bosonic quantum systems",2014,"https://doi.org/10.1038/nphoton.2014.252",1],[2,-0.8094,-0.1244,"Limit laws for Random matrices and free products",1991,"https://doi.org/10.1007/bf01245072",1],[2,0.3144,0.5304,"Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.",1857,"https://doi.org/10.1515/crll.1857.53.173",2],[2,0.2613,0.6025,"Asymptotic lower bounds for Ramsey functions",1977,"https://doi.org/10.1016/0012-365x(77)90044-9",2],[2,0.169,-0.5322,"On the solutions of analytic equations",1968,"https://doi.org/10.1007/bf01389777",3],[2,-0.1909,0.6334,"Conformal Radii for Conformal Loop Ensembles",2009,"https://doi.org/10.1007/s00220-009-0731-6",5],[2,-0.0457,0.7775,"The lex-plus-powers inequality for local cohomology modules",2015,"https://doi.org/10.1007/s00208-015-1180-5",1],[2,-0.2324,0.7066,"Lieb's correlation inequality for plane rotors",1980,"https://doi.org/10.1007/bf01982714",1],[2,0.2507,0.6787,"All regular polytopes are Ramsey",2006,"https://doi.org/10.1016/j.jcta.2006.08.001",1],[2,-0.162,0.6844,"Exact Solution of the F Model of An Antiferroelectric",1967,"https://doi.org/10.1103/physrevlett.18.1046",1],[2,0.6923,-0.4789,"The Poletsky-Rosay theorem on singular complex spaces",2012,"https://doi.org/10.1512/iumj.2012.61.4686",1],[2,-0.7789,-0.3329,"A Gersten–Witt spectral sequence for regular schemes",2002,"https://doi.org/10.1016/s0012-9593(01)01084-9",1],[2,-0.7653,0.3405,"Matrix perturbation theory for M-theory on a PP-wave",2002,"https://doi.org/10.1088/1126-6708/2002/05/056",1],[2,-0.3116,0.5648,"General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity",1998,"https://doi.org/10.1088/0305-4470/31/46/006",6],[2,-0.3448,0.7345,"Excluded Volume Effects and Stretched Polymer Chains",1976,"https://doi.org/10.1021/ma60051a002",1],[2,-0.6177,0.2405,"Proof of the ionization conjecture in a reduced Hartree-Fock model",1991,"https://doi.org/10.1007/bf01245077",2],[2,0.7333,0.2539,"Matroid Secretary Problem in the Random-Assignment Model",2013,"https://doi.org/10.1137/110852061",1],[2,0.4695,-0.6241,"Localizing virtual cycles by cosections",2013,"https://doi.org/10.1090/s0894-0347-2013-00768-7",1],[2,-0.6316,0.4441,"Das Identit�tsproblem f�r Gruppen mit einer definierenden Relation",1932,"https://doi.org/10.1007/bf01455888",1],[2,0.834,0.1387,"Universal classes of hash functions",1979,"https://doi.org/10.1016/0022-0000(79)90044-8",1],[2,-0.4718,-0.5248,"On macroscopic dimension of universal coverings of closed manifolds",2014,"https://doi.org/10.1090/s0077-1554-2014-00221-1",1],[2,-0.0434,-0.3097,"Asymptotic properties of unitary representations",1979,"https://doi.org/10.1016/0022-1236(79)90078-8",3],[2,-0.6174,0.4345,"Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms",2004,"https://doi.org/10.1007/s00222-004-0411-2",1],[2,-0.7482,0.2516,"A NEW PHYSICAL-SPACE APPROACH TO DECAY FOR THE WAVE EQUATION WITH APPLICATIONS TO BLACK HOLE SPACETIMES",2010,"https://doi.org/10.1142/9789814304634_0032",1],[2,0.7628,-0.3697,"On plate decompositions of cone multipliers",2009,"https://doi.org/10.1017/s001309150700048x",1],[2,-0.8495,0.0329,"C*-Algebras With Real Rank Zero and The Internal Structure of Their Corona and Multiplier Algebras Part III",1990,"https://doi.org/10.4153/cjm-1990-010-5",1],[2,-0.2069,0.6814,"Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction",1967,"https://doi.org/10.1103/physrevlett.19.1312",1],[2,-0.1481,-0.6331,"From the Boltzmann Equation to an Incompressible Navier–Stokes–Fourier System",2009,"https://doi.org/10.1007/s00205-009-0254-5",2],[2,0.5808,0.2781,"Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP",2003,"https://doi.org/10.1145/950620.950621",2],[2,-0.3917,-0.6713,"Theory of Finite Pseudoalgebras",2001,"https://doi.org/10.1006/aima.2001.1993",1],[2,-0.2258,0.6699,"An Entropy Proof of Bregman's Theorem",1997,"https://doi.org/10.1006/jcta.1996.2727",1],[2,0.8139,-0.2481,"Merit factors and Morse sequences",1998,"https://doi.org/10.1016/s0304-3975(98)00121-2",1],[2,-0.0265,0.8303,"The Units of Group-Rings",1940,"https://doi.org/10.1112/plms/s2-46.1.231",1],[2,0.4145,-0.4721,"Mori dream spaces and GIT.",2000,"https://doi.org/10.1307/mmj/1030132722",2],[2,0.8404,0.2237,"Beck's Three Permutations Conjecture: A Counterexample and Some Consequences",2012,"https://doi.org/10.1109/focs.2012.84",1],[2,-0.6473,0.2849,"Strings in flat space and pp waves from Script N = 4 Super Yang Mills",2002,"https://doi.org/10.1088/1126-6708/2002/04/013",1],[2,-0.402,-0.585,"A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow",2012,"https://doi.org/10.1112/blms/bds074",1],[2,0.0474,0.7056,"The vanishing of intersection multiplicities of perfect complexes",1985,"https://doi.org/10.1090/s0273-0979-1985-15394-7",1],[2,0.4118,-0.6967,"The Hodge theory of algebraic maps",2005,"https://doi.org/10.1016/j.ansens.2005.07.001",1],[2,-0.6585,-0.0067,"All nuclearC *-algebras are amenable",1983,"https://doi.org/10.1007/bf01394319",2],[2,0.6768,0.3039,"Fast parallel and serial approximate string matching",1989,"https://doi.org/10.1016/0196-6774(89)90010-2",1],[2,-0.5838,0.4644,"Proof of a conjectured exponential formula",1986,"https://doi.org/10.1080/03081088608817715",1],[2,0.1473,-0.8323,"The inverse sieve problem in high dimensions",2012,"https://doi.org/10.1215/00127094-1645788",1],[2,0.3917,-0.7082,"K�hler spaces and proper open morphisms",1989,"https://doi.org/10.1007/bf01457500",1],[2,0.7063,-0.1029,"Über Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre",1916,"https://doi.org/10.1007/bf01456961",1],[2,0.237,-0.5914,"Singular support of coherent sheaves and the geometric Langlands conjecture",2014,"https://doi.org/10.1007/s00029-014-0167-5",2],[2,-0.6355,0.1822,"Constructing mutually unbiased bases in dimension six",2009,"https://doi.org/10.1103/physreva.79.052316",2],[2,-0.1095,0.6481,"On Representing Finite Lattices as Intervals in Subgroup Lattices of Finite Groups",1997,"https://doi.org/10.1006/jabr.1997.7069",2],[2,-0.6793,0.221,"Remainder terms for some quantum entropy inequalities",2014,"https://doi.org/10.1063/1.4871575",1],[2,0.6001,-0.2774,"A bilinear approach to cone multipliers II. Applications",2000,"https://doi.org/10.1007/s000390050007",2],[2,0.7786,0.2213,"On Zariski's theorem in positive characteristic",2013,"https://doi.org/10.4171/jems/403",1],[2,-0.761,0.2438,"Entropy and area",1993,"https://doi.org/10.1103/physrevlett.71.666",1],[2,-0.6564,0.0271,"Decomposable approximations of nuclear C∗ -algebras",2012,"https://doi.org/10.1016/j.aim.2012.03.028",3],[2,-0.1249,0.8433,"Defect groups for finite groups of Lie type",1971,"https://doi.org/10.1007/bf01109967",1],[2,-0.6413,-0.0034,"The stable and the real rank of Z-absorbing C*-algebras",2004,"https://arxiv.org/abs/math/0408020",3],[2,-0.0792,0.6336,"From acyclic groups to the Bass conjecture for amenable groups",2004,"https://doi.org/10.1007/s00208-004-0521-6",2],[2,-0.3265,0.6556,"Shape of territories in some competing growth models",2007,"https://doi.org/10.1214/105051607000000113",1],[2,0.3269,-0.5496,"Abundance theorem for minimal threefolds",1992,"https://doi.org/10.1007/bf02100604",8],[2,0.6172,0.6014,"Pointwise ergodic theorems for arithmetic sets",1989,"https://doi.org/10.1007/bf02698838",1],[2,-0.7745,0.2788,"The Green function for uniformly elliptic equations",1982,"https://doi.org/10.1007/bf01166225",1],[2,-0.1988,-0.727,"Global Uniqueness in the Inverse Scattering Problem¶for the Schrödinger Operator¶with External Yang-Mills Potentials",2001,"https://doi.org/10.1007/s002200100522",1],[2,0.3486,0.7394,"A General Upper Bound on the List Chromatic Number of Locally Sparse Graphs",2002,"https://doi.org/10.1017/s0963548301004898",1],[2,0.0542,-0.8287,"On torsion anomalous intersections",2014,"https://doi.org/10.4171/rlm/666",1],[2,0.4049,-0.5013,"PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS",2001,"https://doi.org/10.1142/s0129167x01000861",9],[2,-0.3423,-0.7397,"Algebraic K-theory of strict ring spectra",2014,"https://arxiv.org/abs/1403.5998",1],[2,-0.0933,0.7295,"On the Farrell-Jones Conjecture and its applications",2007,"https://doi.org/10.1112/jtopol/jtm008",1],[2,0.3206,0.784,"Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity",2006,"https://doi.org/10.1007/s10801-006-0014-7",1],[2,0.6121,0.1992,"Competitive paging algorithms",1991,"https://doi.org/10.1016/0196-6774(91)90041-v",2],[2,-0.2127,0.6288,"Improved Mixing Time Bounds for the Thorp Shuffle",2012,"https://doi.org/10.1017/s0963548312000478",12],[2,-0.6654,0.4788,"Hyperbolic groups with planar boundaries",2014,"https://doi.org/10.1007/s00222-014-0552-x",1],[2,-0.6647,-0.4824,"On a generalized Mazur–Ulam question: Extension of isometries between unit spheres of Banach spaces",2010,"https://doi.org/10.1016/j.jmaa.2010.11.025",1],[2,-0.6593,-0.0202,"Rational group ring elements with kernels having irrational dimension",2013,"https://doi.org/10.1112/plms/pdt029",2],[2,-0.6861,0.215,"Entropy Scaling and Simulability by Matrix Product States",2008,"https://doi.org/10.1103/physrevlett.100.030504",1],[2,-0.212,0.606,"Characters of symmetric groups: sharp bounds and applications",2008,"https://doi.org/10.1007/s00222-008-0145-7",5],[2,0.4544,0.7265,"ɛ-nets and simplex range queries",1987,"https://doi.org/10.1007/bf02187876",1],[2,0.0453,-0.8077,"Generators and relations for certain special linear groups",1971,"https://doi.org/10.1016/0001-8708(71)90027-2",1],[2,-0.6033,0.2157,"Sopra una classe di equazioni ellittiche a coefficienti misurabili",1965,"https://doi.org/10.1007/bf02414375",2],[2,-0.3019,0.637,"A discrete renewal theorem with infinite mean",1962,"https://doi.org/10.1007/bf02566974",1],[2,0.6188,-0.2286,"On convergence and growth of partial sums of Fourier series",1966,"https://doi.org/10.1007/bf02392815",2],[2,0.6577,0.3541,"Finite Automata and Their Decision Problems",1959,"https://doi.org/10.1147/rd.32.0114",1],[2,-0.7403,-0.1299,"On the Lack of Inverses to C*-Extensions Related to Property T Groups",2007,"https://doi.org/10.4153/cmb-2007-027-1",1],[2,0.6048,-0.6224,"Notes on Topological Stability",2012,"https://doi.org/10.1090/s0273-0979-2012-01383-6",1],[2,-0.2748,-0.5829,"ARNOLD CONJECTURE AND GROMOV–WITTEN INVARIANT",1999,"https://doi.org/10.1016/s0040-9383(98)00042-1",4],[2,0.5754,-0.2786,"Volumes of tubular neighbourhoods of real algebraic varieties",1993,"https://doi.org/10.2140/pjm.1993.159.177",2],[2,-0.4429,0.4753,"Choiceless polynomial time, counting and the Cai–Fürer–Immerman graphs",2008,"https://doi.org/10.1016/j.apal.2007.11.011",2],[2,-0.7228,0.3156,"Normalized vacuum states in supersymmetric Yang–Mills quantum mechanics with any gauge group",2000,"https://doi.org/10.1016/s0550-3213(99)00716-6",1],[2,0.8685,-0.0724,"Lattice Coverings of Space: The Minkowski-Hlawka Theorem",1958,"https://doi.org/10.1112/plms/s3-8.3.447",1],[2,0.45,-0.6429,"Algebraic Cycles on Abelian Varieties of Complex Multiplication Type",1968,"https://doi.org/10.2307/1970570",1],[2,0.2563,0.8077,"Triangle-intersecting families of graphs",2012,"https://doi.org/10.4171/jems/320",1],[2,0.4557,0.457,"On the periodic motions of dynamical systems",1927,"https://doi.org/10.1007/bf02421325",2],[2,-0.6817,0.1765,"Entanglement spectrum of a topological phase in one dimension",2010,"https://doi.org/10.1103/physrevb.81.064439",1],[2,-0.7492,-0.2959,"On the structure and applications of the steenrod algebra",1958,"https://doi.org/10.1007/bf02564578",1],[2,-0.7464,0.0929,"On revolutionizing quantum field theory with Tomita’s modular theory",2000,"https://doi.org/10.1063/1.533323",1],[2,-0.6083,0.211,"The positive energy conjecture and the cosmic censor hypothesis",1977,"https://doi.org/10.1063/1.523134",4],[2,-0.6773,0.5049,"Module structures on the K-theory of graded rings",1987,"https://doi.org/10.1016/0021-8693(87)90210-9",1],[2,0.4327,-0.7069,"Ice cream and orbifold Riemann-Roch",2013,"https://doi.org/10.1070/im2013v077n03abeh002644",1],[2,-0.6115,0.2144,"Lower bounds for the area of black holes in terms of mass, charge, and angular momentum",2013,"https://doi.org/10.1103/physrevd.88.024048",2],[2,-0.7495,-0.0835,"On some decomposition properties for factors of type II 1",1998,"https://doi.org/10.1215/s0012-7094-98-09405-4",1],[2,0.1889,-0.8493,"Higher composition laws III: The parametrization of quartic rings",2004,"https://doi.org/10.4007/annals.2004.159.1329",1],[2,0.4524,-0.5408,"Relative Algebraic Reduction and Relative Albanese Map for a Fiber Space in $\\mathcal C$",1983,"https://doi.org/10.2977/prims/1195182985",1],[2,-0.1915,0.6089,"Mass Generation in the Large N -Nonlinear σ-Model",1999,"https://doi.org/10.1007/s002200050576",2],[2,-0.4044,0.7617,"Replica field theory for deterministic models. II. A non-random spin glass with glassy behaviour",1994,"https://doi.org/10.1088/0305-4470/27/23/011",1],[2,-0.7576,0.2216,"Symmetry groups, semidefinite programs, and sums of squares",2004,"https://doi.org/10.1016/j.jpaa.2003.12.011",1],[2,0.656,-0.0765,"On a problem of Rankin about the Epstein zeta-function",1959,"https://doi.org/10.1017/s2040618500033906",3],[2,-0.6077,-0.2307,"Extended $p$-th powers of complexes and applications to homotopy theory",1968,"https://doi.org/10.3792/pja/1195521243",2],[2,-0.0307,0.6372,"Sofic groups and direct finiteness",2004,"https://doi.org/10.1016/j.jalgebra.2004.06.023",3],[2,0.7827,0.1868,"Nonlinear Index Coding Outperforming the Linear Optimum",2009,"https://doi.org/10.1109/tit.2009.2023702",1],[2,-0.0649,0.6386,"Finite Generation of the Extension Algebra Ext(M, M)",1995,"https://doi.org/10.1017/s1446788700037265",2],[2,-0.7407,0.1975,"Transfer-matrix method and Monte Carlo simulation in quantum spin systems",1985,"https://doi.org/10.1103/physrevb.31.2957",1],[2,0.8003,0.1295,"Parallel computation for well-endowed rings and space-bounded probabilistic machines",1983,"https://doi.org/10.1016/s0019-9958(83)80060-6",1],[2,-0.2103,0.6321,"Generating a random permutation with random transpositions",1981,"https://doi.org/10.1007/bf00535487",10],[2,0.6314,0.5478,"Uniqueness of limit cycles for Liénard differential equations of degree four",2011,"https://doi.org/10.1016/j.jde.2011.11.002",1],[2,-0.2638,0.7914,"A splitting technique for Harris recurrent Markov chains",1978,"https://doi.org/10.1007/bf00534764",1],[2,0.5683,-0.5316,"Rational curves on holomorphic symplectic fourfolds",2001,"https://doi.org/10.1007/s00039-001-8229-1",1],[2,-0.1191,0.8131,"The Characters of the Finite General Linear Groups",1955,"https://doi.org/10.1090/s0002-9947-1955-0072878-2",1],[2,-0.7079,-0.344,"Treelike structures arising from continua and convergence groups",1999,"https://doi.org/10.1090/memo/0662",1],[2,-0.1592,-0.7485,"Existence theorem for a Dirichlet problem with free discontinuity set",1990,"https://doi.org/10.1016/0362-546x(90)90006-3",1],[2,0.8444,-0.0958,"Convex measures on locally convex spaces",1974,"https://doi.org/10.1007/bf02384761",1],[2,0.2452,-0.6216,"Geometric Langlands duality and representations of algebraic groups over commutative rings",2007,"https://doi.org/10.4007/annals.2007.166.95",3],[2,-0.1509,-0.7462,"Immersions of Manifolds",1959,"https://doi.org/10.1090/s0002-9947-1959-0119214-4",1],[2,-0.0813,-0.8566,"From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport",2010,"https://doi.org/10.1137/080740647",1],[2,0.2896,-0.7303,"Functoriality for the Classical Groups over Function Fields",2009,"https://doi.org/10.1093/imrn/rnp089",1],[2,0.859,0.0974,"Equation of State Calculations by Fast Computing Machines",1953,"https://doi.org/10.1063/1.1699114",1],[2,-0.5033,-0.6257,"Sobolev met Poincaré",2000,"https://doi.org/10.1090/memo/0688",1],[2,0.6384,-0.0906,"Necessary and Sufficient Conditions for the Representation of a Function as a Laplace Integral",1931,"https://doi.org/10.1090/s0002-9947-1931-1501621-6",2],[2,-0.6467,0.3857,"On the cost of generating an equivalence relation",1995,"https://doi.org/10.1017/s0143385700009846",1],[2,-0.2905,-0.6575,"Geodesics onS 2 and periodic points of annulus homeomorphisms",1992,"https://doi.org/10.1007/bf02100612",1],[2,0.2481,0.5982,"Improved Bounds for the Crossing Numbers of Km,n and Kn",2006,"https://doi.org/10.1137/s0895480104442741",2],[2,0.2958,0.7803,"A Partition Property of Simplices in Euclidean Space",1990,"https://doi.org/10.1090/s0894-0347-1990-1020148-2",1],[2,0.3921,0.6083,"Trisecant lemma for nonequidimensional varieties",2008,"https://doi.org/10.1007/s10958-008-0047-7",1],[2,-0.4208,-0.5166,"On the regularity of solutions of optimal transportation problems",2009,"https://doi.org/10.1007/s11511-009-0037-8",2],[2,0.4286,-0.4945,"Théorie de Hodge : III",1974,"https://doi.org/10.1007/bf02685881",5],[2,-0.1656,-0.8322,"Jacobians of Sobolev homeomorphisms",2009,"https://doi.org/10.1007/s00526-009-0284-8",1],[2,-0.4425,-0.7009,"Control systems on Lie groups",1972,"https://doi.org/10.1016/0022-0396(72)90035-6",1],[2,0.073,-0.3825,"Poletsky theory of disks on holomorphic manifolds",2003,"https://doi.org/10.1512/iumj.2003.52.2170",2],[2,-0.5284,-0.578,"The existence of a black hole due to condensation of matter",1983,"https://doi.org/10.1007/bf01216187",1],[2,0.2337,-0.6092,"Perverse sheaves on affine flags and langlands dual group",2009,"https://doi.org/10.1007/s11856-009-0024-y",3],[2,0.6807,0.3187,"NP-complete scheduling problems",1975,"https://doi.org/10.1016/s0022-0000(75)80008-0",1],[2,-0.2857,0.5996,"FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE",1962,"https://doi.org/10.1093/qmath/13.1.108",2],[2,-0.3121,-0.7272,"Length of Geodesics and Quantitative Morse Theory on Loop Spaces",2013,"https://doi.org/10.1007/s00039-012-0207-2",1],[2,0.2923,0.5888,"Vertex coverings by monochromatic cycles and trees",1991,"https://doi.org/10.1016/0095-8956(91)90007-7",2],[2,-0.4389,-0.6114,"Subharmonic Functions and Surfaces of Negative Curvature",1933,"https://doi.org/10.1090/s0002-9947-1933-1501708-x",1],[2,-0.3513,-0.6768,"Gravitational multi-instantons",1978,"https://doi.org/10.1016/0370-2693(78)90478-1",1],[2,0.5198,0.5012,"Maximal multilinear operators",2008,"https://doi.org/10.1090/s0002-9947-08-04474-7",1],[2,-0.4623,0.6396,"Solution of the Dimer Problem by the Transfer Matrix Method",1967,"https://doi.org/10.1063/1.1705163",1],[2,0.7644,-0.399,"Summation of Multiple Fourier Series by Spherical Means",1935,"https://doi.org/10.1073/pnas.21.6.353",1],[2,-0.2009,-0.7654,"A small data theorem for collisionless plasma that includes high velocity particles",2004,"https://doi.org/10.1512/iumj.2004.53.2515",1],[2,0.0273,-0.7643,"Trace paley-wiener theorem for reductivep-adic groups",1986,"https://doi.org/10.1007/bf02792538",1],[2,0.2736,-0.6843,"Number Theory in Function Fields",2002,"https://doi.org/10.1007/978-1-4757-6046-0",1],[2,0.5767,-0.2863,"On Kakeya's problem and a similar one",1928,"https://doi.org/10.1007/bf01171101",2],[2,-0.3622,-0.5583,"Rigidity of Einstein 4-manifolds with positive curvature",2000,"https://doi.org/10.1007/pl00005792",2],[2,-0.8223,0.2632,"Functional calculus for sesquilinear forms and the purification map",1975,"https://doi.org/10.1016/0034-4877(75)90061-0",1],[2,0.5448,0.463,"Finiteness theorems for limit cycles",1990,"https://doi.org/10.1070/rm1990v045n02abeh002335",1],[2,0.7033,-0.1147,"Graph minors. V. Excluding a planar graph",1986,"https://doi.org/10.1016/0095-8956(86)90030-4",1],[2,-0.6261,0.2269,"Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem",1996,"https://doi.org/10.1063/1.531497",2],[2,-0.6668,-0.0637,"The spatial isomorphism problem for close separable nuclear C*-algebras",2009,"https://doi.org/10.1073/pnas.0913281107",2],[2,-0.5902,0.5068,"The Equivalence of some Residual Properties of Word-Hyperbolic Groups",2000,"https://doi.org/10.1006/jabr.1999.8104",1],[2,0.5507,0.4686,"Étude de quelques propriétés des produits de Riesz",1975,"https://doi.org/10.5802/aif.557",1],[2,-0.0682,0.7291,"On a Conjecture of Foulkes",2000,"https://doi.org/10.1006/jabr.1999.8169",1],[2,0.7016,-0.2909,"On approximate differentiability of the maximal function",2010,"https://doi.org/10.1090/s0002-9939-09-09971-7",1],[2,0.0514,-0.8559,"Irreducible modular representations of GL2 of a local field",1994,"https://doi.org/10.1215/s0012-7094-94-07508-x",1],[2,-0.6052,0.2065,"Sets with positive reach",1982,"https://doi.org/10.1007/bf01304757",2],[2,-0.1843,-0.7187,"On symmetric solutions of the relativistic Vlasov-Poisson system",1985,"https://doi.org/10.1007/bf01210740",1],[2,-0.7888,-0.3343,"The Hilbert-Smith conjecture for Hölder actions",1997,"https://doi.org/10.1070/rm1997v052n02abeh001792",1],[2,0.3382,-0.7577,"Khintchine’s problem in metric Diophantine approximation",1941,"https://doi.org/10.1215/s0012-7094-41-00818-9",1],[2,0.4589,-0.691,"Locally polynomial algebras are symmetric",1976,"https://doi.org/10.1090/s0002-9904-1976-14128-6",1],[2,-0.2124,-0.7497,"The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary",2003,"https://doi.org/10.4310/cag.2003.v11.n2.a2",1],[2,-0.3391,0.7998,"Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field",1970,"https://doi.org/10.1063/1.1665211",1],[2,0.1475,-0.4494,"Stetige streng pseudokonvexe Funktionen",1967,"https://doi.org/10.1007/bf02063212",3],[2,-0.2755,0.5704,"On the Number of Self-Avoiding Walks",1963,"https://doi.org/10.1063/1.1704022",2],[2,0.3341,-0.5694,"Effective base point free theorem for log canonical pairs---Kollár type theorem",2009,"https://doi.org/10.2748/tmj/1264084495",2],[2,0.6239,-0.5868,"Mapping class group and a global Torelli theorem for hyperkähler manifolds",2013,"https://doi.org/10.1215/00127094-2382680",1],[2,0.5856,-0.4395,"Generalized Mukai conjecture for special Fano varieties",2004,"https://doi.org/10.2478/bf02476544",1],[2,-0.6767,0.3281,"Extension of the Lee-Yang Circle Theorem",1971,"https://doi.org/10.1103/physrevlett.26.303",1],[2,0.6049,0.5149,"On the Exceptional Set for Absolute Continuity of Bernoulli Convolutions",2014,"https://doi.org/10.1007/s00039-014-0285-4",1],[2,-0.508,-0.4277,"On embedding uniform and topological spaces",1956,"https://doi.org/10.2140/pjm.1956.6.397",3],[2,-0.4397,0.7422,"Bounds on the 𝐿² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality",1988,"https://doi.org/10.1090/s0002-9947-1988-0930082-9",1],[2,-0.7918,-0.3431,"$p$-adic transformation groups.",1960,"https://doi.org/10.1307/mmj/1028998428",1],[2,0.8134,0.1672,"The asymptotic spectrum of tensors and the exponent of matrix multiplication",1986,"https://doi.org/10.1109/sfcs.1986.52",1],[2,0.0419,0.6642,"The Hilbert-Kunz function",1983,"https://doi.org/10.1007/bf01457082",2],[2,-0.4159,-0.496,"Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds",2011,"https://doi.org/10.2748/tmj/1325886291",2],[2,0.2046,0.6111,"On the Problem of Decomposing a Graph into n Connected Factors",1961,"https://doi.org/10.1112/jlms/s1-36.1.221",2],[2,-0.6611,0.4691,"On locally indicable groups",1982,"https://doi.org/10.1007/bf01214717",1],[2,0.5483,-0.5042,"Strong resolution of singularities in characteristic zero",2002,"https://doi.org/10.1007/pl00012443",1],[2,0.1076,-0.8248,"An average result for Artin's conjecture",1969,"https://doi.org/10.1112/s0025579300008159",1],[2,-0.7401,0.2222,"The problem of mutually unbiased bases in dimension 6",2010,"https://doi.org/10.1007/s12095-010-0023-1",1],[2,0.1773,0.7175,"The Field Descent Method",2005,"https://doi.org/10.1007/s10623-004-1703-7",1],[2,-0.828,-0.0557,"Completely Bounded Homomorphisms of Operator Algebras",1984,"https://doi.org/10.1090/s0002-9939-1984-0754708-x",1],[2,0.0788,-0.6455,"A remark on Artin's conjecture",1984,"https://doi.org/10.1007/bf01388719",2],[2,0.2598,-0.659,"The Harder–Narasimhan stratification of the moduli stack of $$G$$ G -bundles via Drinfeld’s compactifications",2014,"https://doi.org/10.1007/s00029-014-0161-y",1],[2,0.8044,0.1285,"Computational Complexity of Probabilistic Turing Machines",1977,"https://doi.org/10.1137/0206049",1],[2,0.424,-0.5049,"Differentiable manifolds in complex Euclidean space",1965,"https://doi.org/10.1215/s0012-7094-65-03201-1",2],[2,-0.575,0.4035,"Criteria for virtual fibering",2008,"https://doi.org/10.1112/jtopol/jtn003",1],[2,-0.0961,-0.8438,"Density Functional Theory and Optimal Transportation with Coulomb Cost",2012,"https://doi.org/10.1002/cpa.21437",1],[2,-0.5488,-0.3901,"On Convexified Packing and Entropy Duality",2004,"https://doi.org/10.1007/s00039-004-0486-3",2],[2,-0.313,-0.683,"Problèmes d'intersections et de points fixes en géométrie hamiltonienne",1987,"https://doi.org/10.1007/bf02564438",1],[2,0.4639,0.4371,"Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation",1967,"https://doi.org/10.1007/bf01692494",2],[2,0.5428,-0.5658,"Letters of a Bi-rationalist. VII Ordered termination",2009,"https://doi.org/10.1134/s0081543809010192",1],[2,-0.7452,0.3567,"On the equilibrium states in quantum statistical mechanics",1967,"https://doi.org/10.1007/bf01646342",1],[2,0.7705,0.3965,"A note on the exchangeability condition in Stein’s method",2008,"https://doi.org/10.1016/j.spl.2008.01.043",1],[2,0.3665,-0.6568,"Decomposition theorem for proper Kähler morphisms",1990,"https://doi.org/10.2748/tmj/1178227650",1],[2,-0.0515,0.7619,"General Representations of Quivers",1992,"https://doi.org/10.1112/plms/s3-65.1.46",1],[2,0.6807,-0.5197,"Rational curves and bounds on the Picard number of Fano manifolds",2010,"https://doi.org/10.1007/s10711-009-9452-4",1],[2,-0.5061,0.5744,"Reducibility orderings: Theories, definability and automorphisms",1980,"https://doi.org/10.1016/0003-4843(80)90004-2",1],[2,0.1072,-0.7238,"The sum of the Möbius function",2009,"https://doi.org/10.1112/blms/bdn119",1],[2,-0.7502,0.2888,"Approximate neutrality of large-Z ions",1988,"https://doi.org/10.1007/bf01224904",1],[2,0.806,0.0983,"Accelerating Simulated Annealing for the Permanent and Combinatorial Counting Problems",2008,"https://doi.org/10.1137/050644033",1],[2,-0.6246,0.1417,"Parity, circuits, and the polynomial-time hierarchy",1984,"https://doi.org/10.1007/bf01744431",2],[2,-0.6462,-0.5839,"Zur Theorie der Eindeutigen Analytischen Functionen",1885,"https://doi.org/10.1007/bf02400416",1],[2,0.1419,0.7659,"On the existence of specified cycles in complementary graphs",1971,"https://doi.org/10.1090/s0002-9904-1971-12832-x",1],[2,0.5901,-0.6196,"Théorème de Lefschetz et critères de dégénérescence de suites spectrales",1968,"https://doi.org/10.1007/bf02698925",1],[2,-0.3544,-0.6262,"Potential Functions and Actions of Tori on Kähler Manifolds",2004,"https://doi.org/10.4310/cag.2004.v12.n1.a13",1],[2,-0.6312,0.5179,"On linear and residual properties of graph products.",1999,"https://doi.org/10.1307/mmj/1030132408",1],[2,0.7405,0.1139,"Randomness is Linear in Space",1996,"https://doi.org/10.1006/jcss.1996.0004",1],[2,0.5219,-0.5491,"On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation",1980,"https://doi.org/10.1002/cpa.3160330404",1],[2,-0.3138,0.5807,"DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES",1967,"https://doi.org/10.1070/sm1967v001n04abeh001994",2],[2,0.2554,-0.5406,"Higgs bundles and local systems",1992,"https://doi.org/10.1007/bf02699491",2],[2,-0.4399,0.6752,"Stability of infinite clusters in supercritical percolation",1999,"https://doi.org/10.1007/s004400050209",1],[2,-0.6746,-0.5454,"Martingales with values in uniformly convex spaces",1975,"https://doi.org/10.1007/bf02760337",1],[2,0.4079,-0.6181,"Polynomial fibre rings of algebras over noetherian rings",1987,"https://doi.org/10.1007/bf01389155",1],[2,0.7138,0.36,"Spectral properties of threshold functions",1994,"https://doi.org/10.1007/bf01305949",1],[2,-0.5794,0.4277,"SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT",1991,"https://doi.org/10.1070/im1991v036n01abeh001946",1],[2,0.5719,0.3361,"On a question of Eggan",1966,"https://doi.org/10.1016/s0019-9958(66)90083-0",2],[2,0.5951,-0.3104,"The Kakeya Maximal Function and the Spherical Summation Multipliers",1977,"https://doi.org/10.2307/2374006",2],[2,-0.7646,0.1871,"Mixed-state entanglement and quantum error correction",1996,"https://doi.org/10.1103/physreva.54.3824",1],[2,0.2703,0.6505,"Rigidity of Schubert closures and invariance of Kazhdan–Lusztig polynomials",2003,"https://doi.org/10.1016/s0001-8708(02)00100-7",1],[2,-0.7813,0.2816,"Neumann functions for second order elliptic systems with measurable coefficients",2013,"https://doi.org/10.1090/s0002-9947-2013-05886-2",1],[2,0.3512,0.7554,"Approximation algorithms for classification problems with pairwise relationships",2002,"https://doi.org/10.1145/585265.585268",1],[2,0.8114,-0.0863,"The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems",2004,"https://doi.org/10.1016/j.jfa.2003.12.001",1],[2,0.8118,-0.3246,"A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function",2002,"https://doi.org/10.1017/s0004972700020293",1],[2,0.596,0.2059,"An Algorithm for the Machine Calculation of Complex Fourier Series",1965,"https://doi.org/10.1090/s0025-5718-1965-0178586-1",3],[2,-0.6388,-0.4706,"Isometries of the unit sphere",1987,"https://doi.org/10.1007/bf00147942",1],[2,-0.4747,0.7156,"Tree graph inequalities and critical behavior in percolation models",1984,"https://doi.org/10.1007/bf01015729",1],[2,0.8596,-0.0392,"Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians",1984,"https://doi.org/10.1016/0022-1236(84)90076-4",1],[2,-0.715,0.0887,"Diffusion Equations and Geometric Inequalities",2000,"https://doi.org/10.1023/a:1008641618547",1],[2,0.6529,-0.427,"Infinite bubbling in non-Kählerian geometry",2011,"https://doi.org/10.1007/s00208-011-0713-9",1],[2,-0.1038,0.8184,"On the Hochschild and cyclic (co)homology of rapid decay group algebras",2014,"https://doi.org/10.4171/jncg/148",1],[2,0.6448,-0.5462,"A note on complex projective threefolds admitting holomorphic contact structures",1994,"https://doi.org/10.1007/bf01231762",1],[2,-0.2111,-0.7979,"Global uniqueness for an inverse boundary value problem arising in elasticity",2003,"https://doi.org/10.1007/s00222-002-0276-1",1],[2,-0.361,0.6878,"Stability properties and probability distributions of multi-overlaps in dilute spin glasses",2007,"https://doi.org/10.1088/1742-5468/2007/08/p08025",1],[2,-0.3548,-0.6235,"Symplectic Packing in Dimension 4",1997,"https://doi.org/10.1007/s000390050014",1],[2,-0.7187,-0.0255,"Pointwise estimates of the size of characters of compact Lie groups",2000,"https://doi.org/10.1017/s1446788700001841",1],[2,-0.0264,0.6399,"Endomorphisms of symbolic algebraic varieties",1999,"https://doi.org/10.1007/pl00011162",2],[2,-0.3249,0.5656,"Rigorous Solution of the Gardner Problem",2003,"https://doi.org/10.1007/s00220-002-0783-3",2],[2,-0.1942,0.6137,"Upper Bound on the Decay of Correlations in a General Class of O(N)-Symmetric Models",2014,"https://doi.org/10.1007/s00220-014-2075-0",2],[2,-0.089,-0.4385,"Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products",1996,"https://doi.org/10.2307/2118589",3],[2,0.4213,-0.5618,"Remarks on Correspondences and Algebraic Cycles",1983,"https://doi.org/10.2307/2374341",1],[2,-0.4882,0.5404,"Recursive Unsolvability of Post's Problem of \"Tag\" and other Topics in Theory of Turing Machines",1961,"https://doi.org/10.2307/1970290",1],[2,0.7679,0.3214,"Expressing combinatorial optimization problems by Linear Programs",1991,"https://doi.org/10.1016/0022-0000(91)90024-y",1],[2,-0.7605,-0.1038,"Cohomology of operator algebras II. Extended cobounding and the hyperfinite case",1971,"https://doi.org/10.1007/bf02383637",1],[2,-0.0804,0.6583,"Centerless groups—an algebraic formulation of Gottlieb’s theorem",1965,"https://doi.org/10.1016/0040-9383(65)90060-1",2],[2,0.3042,0.7777,"Graph colorings and related symmetric functions: ideas and applications A description of results, interesting applications, & notable open problems",1998,"https://doi.org/10.1016/s0012-365x(98)00146-0",1],[2,-0.0906,-0.8548,"Remarks on the semi-classical Hohenberg–Kohn functional",2013,"https://doi.org/10.1088/0951-7715/26/9/2731",1],[2,-0.8234,-0.147,"Embedding of exact C* -algebras in the Cuntz algebra 𝒪2",2000,"https://doi.org/10.1515/crll.2000.065",1],[2,-0.3608,-0.6175,"Topological Entropy for Geodesic Flows",1979,"https://doi.org/10.2307/1971239",1],[2,-0.8483,0.2145,"Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels",1996,"https://doi.org/10.1103/physrevlett.76.722",1],[2,-0.4901,-0.5377,"Manifolds of Negative Curvature",1969,"https://doi.org/10.1090/s0002-9947-1969-0251664-4",1],[2,0.5152,-0.5341,"On minimal log discrepancies",1999,"https://doi.org/10.4310/mrl.1999.v6.n5.a10",1],[2,-0.3085,-0.5735,"Sur l'existence du nombre de Lelong d'un courant positif psh défini sur une variété presque complexe",2007,"https://doi.org/10.1016/j.crma.2007.04.006",2],[2,-0.3256,0.7359,"Conformal invariance in two-dimensional percolation",1994,"https://doi.org/10.1090/s0273-0979-1994-00456-2",1],[2,0.3547,-0.5229,"Inversion of adjunction on log canonicity",2006,"https://doi.org/10.1007/s00222-006-0008-z",4],[2,-0.4503,-0.643,"Essential self-adjointness of Schrödinger-type operators on manifolds",2002,"https://doi.org/10.1070/rm2002v057n04abeh000532",1],[2,-0.2155,0.6211,"Critical behaviour of the 2D Ising model with impurity bonds",1982,"https://doi.org/10.1088/0022-3719/15/3/015",3],[2,-0.7363,0.3579,"A Dirichlet principle for non reversible Markov chains and some recurrence theorems",2013,"https://doi.org/10.1007/s00440-012-0477-5",1],[2,-0.3646,-0.7923,"Microlocal branes are constructible sheaves",2009,"https://doi.org/10.1007/s00029-009-0008-0",1],[2,0.7049,0.2232,"A Decomposition Theorem for Task Systems and Bounds for Randomized Server Problems",2000,"https://doi.org/10.1137/s0097539799351882",1],[2,-0.7693,0.1677,"Additivity of the classical capacity of entanglement-breaking quantum channels",2002,"https://doi.org/10.1063/1.1498000",1],[2,-0.6694,0.4759,"Cubulating hyperbolic free-by-cyclic groups: the general case",2015,"https://doi.org/10.1007/s00039-015-0314-y",1],[2,0.0167,-0.6512,"The Iwasawa Main Conjectures for GL2",2013,"https://doi.org/10.1007/s00222-013-0448-1",4],[2,-0.3171,-0.6295,"String cohomology groups of complex projective spaces",2007,"https://doi.org/10.2140/agt.2007.7.2165",1],[2,-0.6996,0.4282,"Large-scale Sobolev inequalities on metric measure spaces and applications",2008,"https://doi.org/10.4171/rmi/557",1],[2,0.0079,-0.6386,"On the order of vanishing of modular L -functions at the critical point",1990,"https://doi.org/10.5802/jtnb.33",2],[2,0.1845,-0.8113,"Optimal Assignments of Numbers to Vertices",1964,"https://doi.org/10.1137/0112012",1],[2,-0.4005,-0.5945,"Correction and addition: ``Bubbling out of Einstein manifolds''",1990,"https://doi.org/10.2748/tmj/1178227575",1],[2,0.0022,0.3987,"On Representatives of Subsets",1935,"https://doi.org/10.1112/jlms/s1-10.37.26",10],[2,0.8137,0.1123,"A random polynomial-time algorithm for approximating the volume of convex bodies",1991,"https://doi.org/10.1145/102782.102783",1],[2,-0.3666,-0.7353,"On the Morse index in variational calculus",1976,"https://doi.org/10.1016/0001-8708(76)90074-8",1],[2,-0.3315,0.802,"Convergence in distribution of random metric measure spaces (Λ-coalescent measure trees)",2008,"https://doi.org/10.1007/s00440-008-0169-3",1],[2,0.5167,-0.4135,"Birational cobordism invariance of uniruled symplectic manifolds",2007,"https://doi.org/10.1007/s00222-007-0097-3",2],[2,-0.6646,-0.2599,"The action of the Steenrod squares on the modular invariants of linear groups",1991,"https://doi.org/10.1090/s0002-9939-1991-1064904-6",1],[2,-0.1762,0.7024,"The inversion relation method for some two-dimensional exactly solved models in lattice statistics",1982,"https://doi.org/10.1007/bf01011621",1],[2,-0.5967,-0.2746,"Groups Generated by reflections and aspherical manifolds not covered by Euclidean space",1983,"https://doi.org/10.2307/2007079",2],[2,0.7179,-0.0978,"On lipschitz embedding of finite metric spaces in Hilbert space",1985,"https://doi.org/10.1007/bf02776078",1],[2,-0.7151,0.4904,"On the exceptional fibres of Kleinian singularities",2000,"https://doi.org/10.1353/ajm.2000.0036",1],[2,-0.4469,-0.5876,"Isometric embedding of a smooth compact manifold with a metric of low regularity",1978,"https://doi.org/10.1007/bf02385981",1],[2,-0.783,0.1884,"Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels",1996,"https://doi.org/10.1103/physrevlett.77.2818",1],[2,-0.2687,0.822,"Finite Range Decomposition of Gaussian Processes",2004,"https://doi.org/10.1023/b:joss.0000019818.81237.66",1],[2,-0.1834,0.6242,"The exact mass gap of the O(N) σ-model for arbitrary N ⩾ 3 in d = 2",1990,"https://doi.org/10.1016/0370-2693(90)90686-z",3],[2,0.5426,-0.5245,"Twisted Whittaker model and factorizable sheaves",2008,"https://doi.org/10.1007/s00029-008-0053-0",1],[2,-0.604,0.2237,"Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schrödinger Equation",1961,"https://doi.org/10.1063/1.1703708",3],[2,-0.862,-0.034,"An approach to symmetric spaces of rank one via groups of Heisenberg type",1998,"https://doi.org/10.1007/bf02921641",1],[2,0.3351,-0.5545,"Corrections to ``Log abundance theorem for threefolds''",2004,"https://doi.org/10.1215/s0012-7094-04-12236-5",5],[2,0.5754,-0.4366,"On Fano manifolds with an unsplit dominating family of rational curves",2012,"https://doi.org/10.2996/kmj/1352985447",1],[2,-0.4378,-0.6242,"On the Steinness of a class of Kähler manifolds",2008,"https://doi.org/10.4310/jdg/1211512638",1],[2,-0.0368,0.7487,"Representations Induced in an Invariant Subgroup",1937,"https://doi.org/10.1073/pnas.23.2.89",1],[2,-0.7276,0.3155,"D-particle bound states and the D-instanton measure",1998,"https://doi.org/10.1088/1126-6708/1998/01/005",1],[2,-0.366,-0.6384,"Entropies et rigidités des espaces localement symétriques de courbure strictement négative",1995,"https://doi.org/10.1007/bf01897050",1],[2,0.123,-0.8416,"Interpolation on algebraic groups",2005,"https://doi.org/10.1112/s0010437x05001351",1],[2,0.5385,0.4857,"Morse cocycles and simple Lebesgue spectrum",1999,"https://doi.org/10.1017/s0143385799126579",1],[2,-0.4999,-0.0099,"Proof of the positive mass theorem. II",1981,"https://doi.org/10.1007/bf01942062",3],[2,0.0733,0.1763,"Intersection theorems with geometric consequences",1981,"https://doi.org/10.1007/bf02579457",3],[2,-0.5092,-0.6902,"On the local isometric embedding in $\\mathbb{R}^{3}$ of surfaces with Gaussian curvature of mixed sign",2010,"https://doi.org/10.4310/cag.2010.v18.n4.a2",1],[2,-0.6137,0.204,"Strings and other distributional sources in general relativity",1987,"https://doi.org/10.1103/physrevd.36.1017",2],[2,-0.2984,0.5737,"Spin glass models from the point of view of spin distributions",2013,"https://doi.org/10.1214/11-aop696",2],[2,-0.7564,0.2438,"Entanglement Rates and Area Laws",2013,"https://doi.org/10.1103/physrevlett.111.170501",1],[2,0.6019,0.2105,"Bounds for the Vanishing Order for Solutions of a Linear Differential System",2003,"https://doi.org/10.1023/a:1022155217548",2],[2,0.1148,-0.0369,"Linear equations in primes",2010,"https://doi.org/10.4007/annals.2010.171.1753",2],[2,-0.4289,0.726,"Dynamic Theory of the Spin-Glass Phase",1981,"https://doi.org/10.1103/physrevlett.47.359",1],[2,0.169,0.7108,"Hall's theorem for hypergraphs",2000,"https://doi.org/10.1002/1097-0118(200010)35:2<83::aid-jgt2>3.0.co;2-v",1],[2,0.2377,-0.5915,"Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements",2012,"https://doi.org/10.1090/s0002-9947-2012-05427-4",2],[2,-0.1301,-0.8108,"Some inequalities between Dirichlet and neumann eigenvalues",1991,"https://doi.org/10.1007/bf00375590",1],[2,-0.1721,0.2916,"Boundary Behaviour of Conformal Maps",1992,"https://doi.org/10.1007/978-3-662-02770-7",9],[2,-0.6666,-0.2186,"A Rigidity Result for p-divisible Formal Groups",2008,"https://doi.org/10.4310/ajm.2008.v12.n2.a3",1],[2,-0.0839,0.6369,"The cyclic homology of the group rings",1985,"https://doi.org/10.1007/bf02567420",2],[2,-0.3084,0.6768,"The O(n) Model on the Annulus",2006,"https://doi.org/10.1007/s10955-006-9186-8",1],[2,0.628,-0.2002,"On Kahane's ultraflat polynomials",2009,"https://doi.org/10.4171/jems/163",3],[2,0.0848,-0.7612,"Sums and differences of three kth powers",2009,"https://doi.org/10.1016/j.jnt.2009.01.012",1],[2,-0.7181,0.4898,"On the CAT(0) dimension of 2–dimensional Bestvina–Brady groups",2002,"https://doi.org/10.2140/agt.2002.2.921",1],[2,-0.3899,0.6113,"GRAPHS WITH POLYNOMIAL GROWTH",1985,"https://doi.org/10.1070/sm1985v051n02abeh002866",1],[2,0.5911,-0.5158,"The monodromy of weighted homogeneous singularities",1977,"https://doi.org/10.1007/bf01402973",1],[2,-0.094,-0.7879,"Strictly correlated electrons in density-functional theory: A general formulation with applications to spherical densities",2007,"https://doi.org/10.1103/physreva.75.042511",1],[2,-0.7254,-0.3463,"Stable actions of groups on real trees",1995,"https://doi.org/10.1007/bf01884300",1],[2,-0.0566,0.8126,"The PRV-formula for tensor product decompositions and its applications",2008,"https://doi.org/10.1007/s10688-008-0005-7",1],[2,-0.6665,0.3947,"The class of groups all of whose subgroups with lesser number of generators are free is generic",1996,"https://doi.org/10.1007/bf02308683",1],[2,-0.0576,-0.8519,"C1 Regularity for Infinity Harmonic Functions in Two Dimensions",2005,"https://doi.org/10.1007/s00205-005-0355-8",1],[2,-0.1175,-0.6947,"Curvature estimates for minimal hypersurfaces",1975,"https://doi.org/10.1007/bf02392104",1],[2,-0.736,-0.3204,"Maximal and reduced Roe algebras of coarsely embeddable spaces",2012,"https://doi.org/10.1515/crelle.2012.019",1],[2,0.3421,0.6134,"Hamiltonian circuits in polytopes with even sided faces",1975,"https://doi.org/10.1007/bf02757273",1],[2,0.6318,-0.2001,"Sur Les Polynomes a Coefficients Unimodulaires",1980,"https://doi.org/10.1112/blms/12.5.321",3],[2,0.4039,0.664,"The Osgood-Schoenflies theorem revisited",2005,"https://doi.org/10.1070/rm2005v060n04abeh003672",1],[2,0.6702,-0.5557,"Families of singular rational curves",2001,"https://doi.org/10.1090/s1056-3911-01-00308-3",1],[2,0.6522,0.1209,"Faster algorithms for mean-payoff games",2010,"https://doi.org/10.1007/s10703-010-0105-x",2],[2,-0.0584,-0.6417,"Unpredictability and undecidability in dynamical systems",1990,"https://doi.org/10.1103/physrevlett.64.2354",8],[2,0.1747,0.7122,"On Binary Sequences",1961,"https://doi.org/10.1090/s0002-9939-1961-0125026-2",1],[2,0.4691,0.4606,"Multiple recurrence and almost sure convergence for weakly mixing dynamical systems",1998,"https://doi.org/10.1007/bf02762270",4],[2,-0.3855,0.6479,"An eigenvalue method for computing the largest relaxation time of disordered systems",2009,"https://doi.org/10.1088/1742-5468/2009/12/p12017",1],[2,0.5171,-0.4018,"Two-dimensional gravity and intersection theory on moduli space",1990,"https://doi.org/10.4310/sdg.1990.v1.n1.a5",2],[2,0.4011,0.6966,"Sur un nouvel invariant des graphes et un critère de planarité",1990,"https://doi.org/10.1016/0095-8956(90)90093-f",1],[2,-0.6084,0.2141,"On the Riemannian Penrose inequality in dimensions less than eight",2009,"https://doi.org/10.1215/00127094-2009-020",8],[2,-0.4679,0.6476,"Dimer problem in statistical mechanics-an exact result",1961,"https://doi.org/10.1080/14786436108243366",1],[2,0.4181,0.3921,"Explicit subspace designs",2014,"https://doi.org/10.1007/s00493-014-3169-1",2],[2,0.047,0.7739,"Structure of Local Homomorphisms",1994,"https://doi.org/10.1006/jabr.1994.1057",1],[2,0.4097,-0.5679,"On Fermat varieties",1979,"https://doi.org/10.2748/tmj/1178229881",1],[2,0.5477,-0.5244,"The infinite groups of Lie and Cartan Part I, (The transitive groups)",1965,"https://doi.org/10.1007/bf02787690",1],[2,0.427,0.7178,"A special case of Hadwiger's conjecture",2007,"https://doi.org/10.1016/j.jctb.2007.04.003",1],[2,-0.4372,-0.4531,"A relation between pointwise convergence of functions and convergence of functionals",1983,"https://doi.org/10.1090/s0002-9939-1983-0699419-3",2],[2,0.8516,0.1247,"Aspects of the theory of hypermatroids",1974,"https://doi.org/10.1007/bfb0066195",1],[2,-0.4821,0.5646,"On strongly minimal sets",1971,"https://doi.org/10.2307/2271517",1],[2,-0.784,-0.3255,"Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces",2003,"https://doi.org/10.2140/agt.2003.3.791",1],[2,-0.8612,0.1394,"Quantum circuits with uniformly controlled one-qubit gates",2005,"https://doi.org/10.1103/physreva.71.052330",1],[2,-0.0616,-0.871,"Extension of functions satisfying lipschitz conditions",1967,"https://doi.org/10.1007/bf02591928",1],[2,-0.1749,-0.8345,"The approximation problem for Sobolev maps between two manifolds",1991,"https://doi.org/10.1007/bf02392449",1],[2,0.4382,-0.5483,"Toward a Numerical Theory of Ampleness",1966,"https://doi.org/10.2307/1970447",1],[2,-0.4615,0.3511,"Infrared bounds, phase transitions and continuous symmetry breaking",1976,"https://doi.org/10.1007/bf01608557",4],[2,-0.4529,0.7394,"On the probability that a random ±1-matrix is singular",1995,"https://doi.org/10.1090/s0894-0347-1995-1260107-2",1],[2,-0.0543,-0.7057,"Tug-of-war and the infinity Laplacian",2008,"https://doi.org/10.1090/s0894-0347-08-00606-1",1],[2,-0.1294,-0.6502,"Diffeomorphic Approximation of Sobolev Homeomorphisms",2011,"https://doi.org/10.1007/s00205-011-0404-4",2],[2,-0.3642,0.791,"Intersection probabilities for a chordal SLE path and a semicircle",2008,"https://doi.org/10.1214/ecp.v13-1399",1],[2,-0.6185,0.2219,"Trapped surfaces and the Penrose inequality in spherically symmetric geometries",1994,"https://doi.org/10.1103/physrevd.49.6931",2],[2,-0.8302,0.01,"Infinite Non-simple C*-Algebras: Absorbing the Cuntz Algebra O∞",2002,"https://doi.org/10.1006/aima.2001.2041",1],[2,-0.0777,0.6426,"A non-projective module without self-extensions",1994,"https://doi.org/10.1007/bf01193735",2],[2,-0.7199,-0.2849,"A Fundamental System of Invariants of the General Modular Linear Group with a Solution of the Form Problem",1911,"https://doi.org/10.1090/s0002-9947-1911-1500882-4",1],[2,-0.6548,-0.5247,"The metrical interpretation of superreflexivity in banach spaces",1986,"https://doi.org/10.1007/bf02766125",1],[2,0.2745,-0.7021,"L-series of Artin stacks over finite fields",2012,"https://doi.org/10.2140/ant.2012.6.47",1],[2,-0.6519,0.4995,"Isomorphic embeddability of semigroups with countable sets of defining relations in finitely defined semigroups",1967,"https://doi.org/10.1007/bf01268065",1],[2,-0.8205,0.2567,"Matrix product states represent ground states faithfully",2006,"https://doi.org/10.1103/physrevb.73.094423",1],[2,-0.1846,-0.8506,"Fluctuations around the Boltzman equation",1981,"https://doi.org/10.1007/bf01013172",1],[2,0.2307,0.6658,"Twice-Ramanujan Sparsifiers",2012,"https://doi.org/10.1137/090772873",1],[2,-0.6469,0.3153,"Statistical mechanics of quantum spin systems. III",1968,"https://doi.org/10.1007/bf01654286",1],[2,-0.4126,-0.7697,"Tamed to compatible: symplectic forms via moduli space integration",2011,"https://doi.org/10.4310/jsg.2011.v9.n2.a4",1],[2,0.8436,-0.1037,"Summationsmethoden und Momentfolgen. I",1921,"https://doi.org/10.1007/bf01378337",1],[2,0.5031,0.6884,"A Construction for Partitions Which Avoid Long Arithmetic Progressions",1968,"https://doi.org/10.4153/cmb-1968-047-7",1],[2,-0.33,-0.6405,"Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions",2008,"https://doi.org/10.1090/s0894-0347-08-00601-2",1],[2,0.5169,-0.6011,"Classification of algebraic varieties",1977,"https://doi.org/10.3792/pja/1195517881",1],[2,-0.7176,0.4576,"The Dixmier problem, lamplighters and Burnside groups",2009,"https://doi.org/10.1016/j.jfa.2009.06.029",1],[2,0.4276,-0.5025,"The weighted Monge–Ampère energy of quasiplurisubharmonic functions",2007,"https://doi.org/10.1016/j.jfa.2007.04.018",2],[2,-0.195,0.6252,"Local Ward identities and the decay of correlations in ferromagnets",1980,"https://doi.org/10.1007/bf01982713",3],[2,-0.7662,-0.4108,"Homotopy properties of the poset of nontrivial p-subgroups of a group",1978,"https://doi.org/10.1016/0001-8708(78)90058-0",1],[2,0.4466,-0.6281,"Polarizations and Grothendieck's Standard Conjectures",2002,"https://doi.org/10.2307/3062126",1],[2,-0.6171,-0.1796,"Cohomology theory of Lie groups and Lie algebras",1948,"https://doi.org/10.1090/s0002-9947-1948-0024908-8",2],[2,-0.3694,-0.6167,"THE EXISTENCE OF INNER FUNCTIONS IN THE BALL",1983,"https://doi.org/10.1070/sm1983v046n02abeh002759",1],[2,0.684,-0.3493,"An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension",2001,"https://doi.org/10.1007/pl00001685",1],[2,-0.8377,-0.1136,"Module Mappings Into Von Neumann Algebras and Injectivity",1995,"https://doi.org/10.1112/plms/s3-71.3.618",1],[2,-0.1941,0.608,"The critical properties of the two-dimensional xy model",1974,"https://doi.org/10.1088/0022-3719/7/6/005",6],[2,0.4239,-0.5707,"Chow groups are finite dimensional, in some sense",2004,"https://doi.org/10.1007/s00208-004-0577-3",1],[2,0.4516,0.7222,"New applications of random sampling in computational geometry",1987,"https://doi.org/10.1007/bf02187879",1],[2,0.0286,-0.8014,"The Iwasawaμ-invariant ofp-adic HeckeL-functions",2010,"https://doi.org/10.4007/annals.2010.172.41",1],[2,0.7435,0.136,"Some algebraic and geometric computations in PSPACE",1988,"https://doi.org/10.1145/62212.62257",1],[2,0.2701,-0.79,"Commuting-liftable subgroups of Galois groups II",2015,"https://doi.org/10.1515/crelle-2014-0115",1],[2,-0.5076,-0.5882,"Systems of dyadic cubes in a doubling metric space",2012,"https://doi.org/10.4064/cm126-1-1",1],[2,-0.7673,-0.0603,"Double ergodicity of the Poisson boundary and applications to bounded cohomology",2003,"https://doi.org/10.1007/s00039-003-0433-8",1],[2,-0.6457,0.4362,"Three-generator Artin groups of large type are biautomatic",2000,"https://doi.org/10.1016/s0022-4049(99)00094-8",1],[2,-0.3996,-0.714,"Symplectic packings and algebraic geometry",1994,"https://doi.org/10.1007/bf01231766",1],[2,-0.5108,0.409,"A funny property of sphere and equations over groups",1993,"https://doi.org/10.1080/00927879308824692",2],[2,-0.8056,0.3091,"New Bounds on the Maximum Ionization of Atoms",2012,"https://doi.org/10.1007/s00220-012-1479-y",1],[2,0.6492,-0.2766,"Quasiconformal maps in metric spaces with controlled geometry",1998,"https://doi.org/10.1007/bf02392747",1],[2,0.6509,-0.0069,"Covering Convex Bodies by Cylinders and Lattice Points by Flats",2009,"https://doi.org/10.1007/s12220-008-9063-6",4],[2,0.1162,-0.7692,"Algebraic leaves of algebraic foliations over number fields",2001,"https://doi.org/10.1007/s10240-001-8191-3",1],[2,-0.7532,0.3576,"Finite-Volume Fractional-Moment Criteria¶for Anderson Localization",2001,"https://doi.org/10.1007/s002200100441",1],[2,-0.0912,-0.7018,"Stable Self-Similar Blow-Up Dynamics for Slightly L 2 Super-Critical Nls Equations",2010,"https://doi.org/10.1007/s00039-010-0081-8",1],[2,-0.0782,-0.7136,"Equality between Monge and Kantorovich multimarginal problems with Coulomb cost",2013,"https://doi.org/10.1007/s10231-013-0376-0",1],[2,0.4235,-0.5087,"Algebraic varieties with semialgebraic universal cover",2012,"https://doi.org/10.1112/jtopol/jts001",2],[2,-0.6069,0.2201,"Lieb–Thirring inequalities with improved constants",2008,"https://doi.org/10.4171/jems/142",2],[2,-0.5133,-0.6585,"Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces",2013,"https://doi.org/10.4171/rmi/746",1],[2,0.8486,-0.1155,"Isometric Embedding in lp-spaces",1990,"https://doi.org/10.1016/s0195-6698(13)80131-x",1],[2,0.7466,0.1359,"A Subexponential Randomized Algorithm for the Simple Stochastic Game Problem",1995,"https://doi.org/10.1006/inco.1995.1035",1],[2,-0.4385,0.6247,"On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment",2002,"https://doi.org/10.4310/maa.2002.v9.n3.a4",1],[2,-0.2695,0.8071,"Grad ø perturbations of massless Gaussian fields",1990,"https://doi.org/10.1007/bf02096987",1],[2,-0.1892,0.6339,"A low temperature expansion for classicalN-vector models. I. A renormalization group flow",1995,"https://doi.org/10.1007/bf02099355",2],[2,-0.686,-0.302,"Geometrization of the Strong Novikov Conjecture for residually finite groups",2008,"https://doi.org/10.1515/crelle.2008.061",1],[2,-0.4368,-0.4841,"Positive scalar curvature and the Dirac operator on complete riemannian manifolds",1983,"https://doi.org/10.1007/bf02953774",4],[2,0.3854,-0.5254,"Algebraic Families on an Algebraic Surface",1968,"https://doi.org/10.2307/2373541",2],[2,-0.4929,-0.6494,"ISOMETRIC IMMERSIONS OF TWO-DIMENSIONAL RIEMANNIAN METRICS IN EUCLIDEAN SPACE",1973,"https://doi.org/10.1070/rm1973v028n04abeh001591",1],[2,0.272,0.6967,"The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli",2003,"https://doi.org/10.1007/s00222-002-0273-4",1],[2,-0.498,-0.4239,"Uniform equivalence between Banach spaces",1978,"https://doi.org/10.1090/s0002-9904-1978-14475-9",2],[2,0.5983,-0.4059,"Local Simple Connectedness of Resolutions of Log-Terminal Singularities",2003,"https://doi.org/10.1142/s0129167x0300196x",1],[2,-0.606,0.2439,"Thomas-Fermi Theory Revisited",1973,"https://doi.org/10.1103/physrevlett.31.681",2],[2,-0.5708,0.1296,"Sobolev and mean‐value inequalities on generalized submanifolds of R n",1973,"https://doi.org/10.1002/cpa.3160260305",9],[2,-0.3431,0.5399,"Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation",1987,"https://doi.org/10.1007/bf01219071",2],[2,0.4965,-0.5658,"A Lefschetz fixed point formula for elliptic differential operators",1966,"https://doi.org/10.1090/s0002-9904-1966-11483-0",1],[2,0.6677,0.4165,"Uniform expansion bounds for Cayley graphs of SL 2 (𝔽 p )",2008,"https://doi.org/10.4007/annals.2008.167.625",1],[2,-0.8696,-0.0967,"On the operators which generate continuous von Neumann algebras",1963,"https://doi.org/10.2748/tmj/1178243811",1],[2,-0.2093,-0.7617,"INVERSE BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS.",2003,"https://doi.org/10.1142/9789812704924_0009",1],[2,0.7567,0.2368,"On the k -server conjecture",1995,"https://doi.org/10.1145/210118.210128",1],[2,-0.3738,-0.528,"Certain conditions for a Riemannian manifold to be isometric with a sphere",1962,"https://doi.org/10.2969/jmsj/01430333",3],[2,-0.6092,0.2208,"Sharp Lieb-Thirring inequalities in high dimensions",2000,"https://doi.org/10.1007/bf02392782",3],[2,0.8026,-0.0191,"A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional",2013,"https://doi.org/10.1007/s10711-013-9924-4",1],[2,-0.201,0.6168,"The Mixing Time of the Thorp Shuffle",2008,"https://doi.org/10.1137/050636231",11],[2,0.084,-0.6383,"ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS",1986,"https://doi.org/10.1093/qmath/37.1.27",2],[2,-0.7624,0.2097,"Finite-Size Studies of the Incompressible State of the Fractionally Quantized Hall Effect and its Excitations",1985,"https://doi.org/10.1103/physrevlett.54.237",1],[2,0.2522,-0.7821,"Quasi-reflection algebras and cyclotomic associators",2008,"https://doi.org/10.1007/s00029-007-0048-2",1],[2,-0.8506,-0.0554,"A Similarity Degree Characterization of Nuclear $C^∗$-algebras",2006,"https://doi.org/10.2977/prims/1166642155",1],[2,-0.7773,-0.3628,"The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups",2011,"https://doi.org/10.1090/s0002-9939-2011-11150-x",1],[2,-0.1773,0.6414,"Fluctuations for the Ginzburg-Landau $${\\nabla \\phi}$$ Interface Model on a Bounded Domain",2011,"https://doi.org/10.1007/s00220-011-1315-9",2],[2,0.2545,0.829,"Threshold functions for small subgraphs",1981,"https://doi.org/10.1017/s0305004100058655",1],[2,0.2964,0.7453,"Incomparability graphs of (3 + 1)-free posets are s-positive",1996,"https://doi.org/10.1016/s0012-365x(96)83014-7",1],[2,0.4089,-0.5693,"Căldăraru's conjecture and Tsygan's formality",2012,"https://doi.org/10.4007/annals.2012.176.2.4",1],[2,-0.5828,0.4329,"INFINITE PERIODIC GROUPS. I",1968,"https://doi.org/10.1070/im1968v002n01abeh000637",1],[2,0.1397,0.7474,"A note on Hamiltonian circuits",1972,"https://doi.org/10.1016/0012-365x(72)90079-9",1],[2,-0.2042,-0.7865,"A New Continuation Criterion for the Relativistic Vlasov–Maxwell System",2014,"https://doi.org/10.1007/s00220-014-2108-8",1],[2,0.4164,-0.5862,"Real multiplication on K3 surfaces and Kuga Satake varieties",2008,"https://doi.org/10.1307/mmj/1224783519",1],[2,0.7978,-0.2917,"COMMUTATORS OF SINGULAR INTEGRAL OPERATORS",1965,"https://doi.org/10.1073/pnas.53.5.1092",1],[2,-0.2606,0.7141,"Ramanujan graphings and correlation decay in local algorithms",2014,"https://doi.org/10.1002/rsa.20562",1],[2,0.0334,0.8558,"On the non-existence of small Cohen–Macaulay algebras",2014,"https://doi.org/10.1016/j.jalgebra.2014.03.038",1],[2,0.4905,0.6896,"On a Problem of Heilbronn, III",1972,"https://doi.org/10.1112/plms/s3-25.3.543",1],[2,-0.5966,0.2439,"Unpredictable paths and percolation",1998,"https://doi.org/10.1214/aop/1022855749",5],[2,-0.4192,0.7022,"An Antipodally Symmetric Distribution on the Sphere",1974,"https://doi.org/10.1214/aos/1176342874",1],[2,0.4158,-0.4825,"On Shokurov's rational connectedness conjecture",2007,"https://doi.org/10.1215/s0012-7094-07-13813-4",4],[2,-0.1977,-0.7508,"Singularity formation in a collisionless plasma could occur only at high velocities",1986,"https://doi.org/10.1007/bf00250732",1],[2,-0.8202,0.1813,"On a norm compression inequality for 2×N partitioned block matrices",2007,"https://doi.org/10.1016/j.laa.2007.08.007",1],[2,-0.8486,-0.0197,"Mean dimension, small entropy factors and an embedding theorem",1999,"https://doi.org/10.1007/bf02698858",1],[2,0.7398,-0.075,"Isoperimetric and concentration inequalities: Equivalence under curvature lower bound",2010,"https://doi.org/10.1215/00127094-2010-038",1],[2,-0.8021,-0.1448,"The Existence of Probability Measures with Given Marginals",1965,"https://doi.org/10.1214/aoms/1177700153",1],[2,0.468,-0.6605,"On the locus of Hodge classes",1995,"https://doi.org/10.1090/s0894-0347-1995-1273413-2",1],[2,0.5675,-0.302,"A restriction theorem for the Fourier transform",1975,"https://doi.org/10.1090/s0002-9904-1975-13790-6",2],[2,-0.2095,-0.7168,"The Local Calderòn Problem and the Determination at the Boundary of the Conductivity",2009,"https://doi.org/10.1080/03605300903017397",1],[2,0.4641,-0.6022,"D-branes, categories and N=1 supersymmetry",2001,"https://doi.org/10.1063/1.1374448",1],[2,0.8601,0.0514,"Approximating Minimum Feedback Sets and Multicuts in Directed Graphs",1998,"https://doi.org/10.1007/pl00009191",1],[2,0.3419,-0.5476,"Divisorial Zariski decompositions on compact complex manifolds",2004,"https://doi.org/10.1016/j.ansens.2003.04.002",6],[2,0.2451,-0.6062,"Regular elements of semi-simple algebraic groups",1965,"https://doi.org/10.1007/bf02684397",2],[2,-0.0569,-0.7886,"Everywhere differentiability of infinity harmonic functions",2011,"https://doi.org/10.1007/s00526-010-0388-1",1],[2,-0.3475,0.6192,"DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS",1977,"https://doi.org/10.1070/im1977v011n02abeh001719",1],[2,0.8326,0.1381,"Time-Space Tradeoff in Derandomizing Probabilistic Logspace",2005,"https://doi.org/10.1007/s00224-005-1264-9",1],[2,-0.1385,0.8176,"DIOPHANTINE REPRESENTATION OF ENUMERABLE PREDICATES",1971,"https://doi.org/10.1070/im1971v005n01abeh001004",1],[2,0.4739,0.637,"Partitions and Sums and Products of Integers",1979,"https://doi.org/10.1090/s0002-9947-1979-0517693-4",1],[2,-0.7393,0.0861,"Quantum Field Theory in Terms of Vacuum Expectation Values",1956,"https://doi.org/10.1103/physrev.101.860",1],[2,0.7173,-0.346,"Propagation of singularities and maximal functions in the plane",1991,"https://doi.org/10.1007/bf01245080",1],[2,-0.6851,0.3281,"Spontaneous Magnetization in Idealized Ferromagnets",1966,"https://doi.org/10.1103/physrev.152.240",1],[2,-0.6576,0.0068,"Nuclear dimension and $\\mathcal{Z}$ -stability of pure C∗-algebras",2011,"https://doi.org/10.1007/s00222-011-0334-7",3],[2,-0.376,0.5211,"Superstable interactions in classical statistical mechanics",1970,"https://doi.org/10.1007/bf01646091",2],[2,0.4087,0.6858,"Über eine Eigenschaft der ebenen Komplexe",1937,"https://doi.org/10.1007/bf01594196",1],[2,0.5558,-0.5307,"Base Manifolds for Lagrangian Fibrations on Hyperkähler Manifolds",2013,"https://doi.org/10.1093/imrn/rnt133",1],[2,0.349,-0.541,"Structure of birational automorphism groups, I: non-uniruled varieties",1988,"https://doi.org/10.1007/bf01394338",3],[2,0.2482,-0.6051,"Computation of the metaplectic kernel",1996,"https://doi.org/10.1007/bf02698836",2],[2,-0.6015,0.4202,"Peripheral fillings of relatively hyperbolic groups",2006,"https://doi.org/10.1007/s00222-006-0012-3",1],[2,0.7354,-0.1275,"Approximating Sparsest Cut in Graphs of Bounded Treewidth",2010,"https://doi.org/10.1007/978-3-642-15369-3_10",1],[2,-0.4412,0.7305,"Sobolev inequalities for probability measures on the real line",2003,"https://doi.org/10.4064/sm159-3-9",1],[2,-0.6889,-0.5189,"Unconditional basic sequences in spaces of large density",2010,"https://doi.org/10.1016/j.aim.2010.10.012",1],[2,-0.3349,0.7199,"Self-Avoiding Walk is Sub-Ballistic",2013,"https://doi.org/10.1007/s00220-013-1811-1",1],[2,-0.6279,-0.1922,"Comodules and Landweber exact homology theories",2004,"https://doi.org/10.1016/j.aim.2004.04.011",4],[2,-0.4327,-0.5902,"Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below",2015,"https://doi.org/10.1007/s00208-015-1208-x",1],[2,0.7377,0.3755,"The correct exponent for the Gotsman–Linial Conjecture",2014,"https://doi.org/10.1007/s00037-014-0086-z",1],[2,0.3082,-0.5692,"Some remarks on the instability flag",1984,"https://doi.org/10.2748/tmj/1178228852",2],[2,0.2427,-0.615,"The global nilpotent variety is Lagrangian",2001,"https://doi.org/10.1215/s0012-7094-01-10933-2",2],[2,-0.1099,0.8679,"Non-commutative differential geometry",1985,"https://doi.org/10.1007/bf02698807",1],[2,0.2418,-0.6014,"Regular elements of finite reflection groups",1974,"https://doi.org/10.1007/bf01390173",2],[2,0.5712,-0.6481,"Local Properties of Algebraic Group Actions",1989,"https://doi.org/10.1007/978-3-0348-7662-9_4",1],[2,0.6412,0.1469,"Displacement ranks of a matrix",1979,"https://doi.org/10.1090/s0273-0979-1979-14659-7",2],[2,0.5544,0.5042,"On Stochastic Sea of the Standard Map",2011,"https://doi.org/10.1007/s00220-011-1365-z",1],[2,-0.0421,0.0287,"Distal transformation groups",1958,"https://doi.org/10.2140/pjm.1958.8.401",2],[2,-0.7617,-0.3045,"Cohomologie modulo 2 des complexes d’Eilenberg-MacLane",1953,"https://doi.org/10.1007/bf02564562",1],[2,0.4681,-0.4789,"Intersection homology II",1983,"https://doi.org/10.1007/bf01389130",2],[2,-0.0095,0.0469,"Approximate counting, uniform generation and rapidly mixing Markov chains",1989,"https://doi.org/10.1016/0890-5401(89)90067-9",2],[2,0.3829,-0.5472,"Flattening Theorem in Complex-Analytic Geometry",1975,"https://doi.org/10.2307/2373721",2],[2,-0.759,0.2731,"Metric of a Rotating, Charged Mass",1965,"https://doi.org/10.1063/1.1704351",1],[2,-0.0524,-0.7651,"Convexity Criteria and Uniqueness of Absolutely Minimizing Functions",2010,"https://doi.org/10.1007/s00205-010-0348-0",1],[2,-0.0981,0.6942,"The largest irreducible representations of simple groups",2012,"https://doi.org/10.1112/plms/pds030",1],[2,0.669,-0.4791,"STRATIFICATIONS ASSOCIATED TO REDUCTIVE GROUP ACTIONS ON AFFINE SPACES",2013,"https://doi.org/10.1093/qmath/hat046",1],[2,-0.6221,0.2162,"On the Penrose inequality for charged black holes",2012,"https://doi.org/10.1088/0264-9381/29/24/245019",2],[2,-0.5885,-0.4434,"A class of Banach spaces with few non-strictly singular operators",2004,"https://doi.org/10.1016/j.jfa.2004.11.001",1],[2,0.0719,-0.7341,"POWER-FREE VALUES OF BINARY FORMS",1992,"https://doi.org/10.1093/qmath/43.1.45",1],[2,-0.3701,-0.5402,"Linear and Quasi-linear Equations of Parabolic Type",1968,"https://doi.org/10.1090/mmono/023",2],[2,-0.6944,0.2074,"Maximal sets of mutually unbiased quantum states in dimension 6",2008,"https://doi.org/10.1103/physreva.78.042312",1],[2,-0.7199,0.427,"Dehn's algorithm for the word problem",1960,"https://doi.org/10.1002/cpa.3160130108",1],[2,0.194,0.1126,"Quick Approximation to Matrices and Applications",1999,"https://doi.org/10.1007/s004930050052",3],[2,-0.1338,0.2013,"New Constructive Aspects of the Lovász Local Lemma",2011,"https://doi.org/10.1145/2049697.2049702",2],[2,-0.1667,-0.7754,"Monotonicity and separation for the Mumford–Shah problem",2002,"https://doi.org/10.1016/s0294-1449(02)00097-5",1],[2,0.0152,0.2608,"Property (T) for noncommutative universal lattices",2009,"https://doi.org/10.1007/s00222-009-0218-2",2],[2,-0.7532,-0.3907,"Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings",1984,"https://doi.org/10.1016/0001-8708(84)90021-5",1],[2,-0.2884,-0.5999,"On the Arnold conjecture for weakly monotone symplectic manifolds",1995,"https://doi.org/10.1007/bf01245191",2],[2,-0.7812,-0.0466,"Borel Chromatic Numbers",1999,"https://doi.org/10.1006/aima.1998.1771",1],[2,0.2638,-0.1124,"A maximal theorem with function-theoretic applications",1930,"https://doi.org/10.1007/bf02547518",4],[2,-0.4148,0.3879,"On properties of Parisi measures",2014,"https://doi.org/10.1007/s00440-014-0563-y",6],[2,0.6116,0.5792,"Intertwinings of tensor products, and the stochastic centralizer of dynamical systems",1997,"https://doi.org/10.1070/sm1997v188n02abeh000202",1],[2,-0.7809,-0.2234,"On the K-theory of finite algebras over witt vectors of perfect fields",1997,"https://doi.org/10.1016/0040-9383(96)00003-1",1],[2,0.5441,-0.581,"On the Zero-in-the-Spectrum Conjecture",2001,"https://doi.org/10.2307/3062113",1],[2,0.5943,-0.5369,"Semicontinuity of the singularity spectrum",1985,"https://doi.org/10.1007/bf01388523",1],[2,-0.4846,-0.5929,"Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces",2013,"https://doi.org/10.1016/j.aim.2013.09.005",1],[2,-0.7183,0.3495,"Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen",1967,"https://doi.org/10.1007/bf00535466",1],[2,-0.6231,0.221,"Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I",1959,"https://doi.org/10.1002/cpa.3160120405",6],[2,0.6351,-0.5904,"Supplement to “On the Inverse of Monoidal Transformation”",1971,"https://doi.org/10.2977/prims/1195193401",1],[2,0.6523,-0.4568,"MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS",1994,"https://doi.org/10.1093/qmath/45.4.515",1],[2,0.3674,-0.0342,"Théorème de préparation pour les fonctions logarithmico-exponentielles",1997,"https://doi.org/10.5802/aif.1583",2],[2,-0.6481,0.4799,"Golod-Shafarevich groups with property (T) and Kac-Moody groups",2008,"https://doi.org/10.1215/00127094-2008-053",1],[2,0.3853,-0.6581,"Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la première classe de Chern est nulle",2009,"https://doi.org/10.1007/s00209-009-0626-4",1],[2,0.5917,-0.2752,"On the Schrödinger maximal function in higher dimension",2013,"https://doi.org/10.1134/s0081543813010045",2],[2,-0.4337,-0.7176,"Random phase vector for calculating the trace of a large matrix",2004,"https://doi.org/10.1103/physreve.69.057701",1],[2,0.0932,-0.8535,"Ricerche aritmetiche sui polinomi",1933,"https://doi.org/10.1007/bf03017586",1],[2,-0.1986,0.628,"Multicomponent field theories and classical rotators",1975,"https://doi.org/10.1007/bf01609827",2],[2,-0.5648,-0.505,"Convex domains and K-spectral sets",2005,"https://doi.org/10.1007/s00209-005-0857-y",1],[2,-0.6162,0.2096,"Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics",1963,"https://doi.org/10.1103/physrevlett.11.237",2],[2,0.8242,-0.1849,"The structure of finite dimensional Banach spaces with the 3.2. Intersection property",1981,"https://doi.org/10.1007/bf02392457",1],[2,0.3346,0.6421,"Difference sets and the primes",2008,"https://doi.org/10.4064/aa131-3-5",1],[2,0.7245,-0.0867,"A short analytic proof of Fejes Tóth's theorem on sums of moments",1999,"https://doi.org/10.1007/s000100050116",1],[2,0.0077,-0.739,"The second moment of quadratic twists of modular $L$-functions",2010,"https://doi.org/10.4171/jems/224",1],[2,-0.0503,-0.0716,"Local behavior of solutions of quasi-linear equations",1964,"https://doi.org/10.1007/bf02391014",2],[2,0.7413,0.2099,"Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems",2001,"https://doi.org/10.1137/s009753970038715x",1],[2,0.0501,-0.7658,"Intersection de sous-groupes et de sous-variétés III",2009,"https://doi.org/10.4171/cmh/183",1],[2,-0.6042,0.2224,"Existence and Uniqueness of Constant Mean Curvature Foliation of Asymptotically Hyperbolic 3-Manifolds",2009,"https://doi.org/10.1007/s00039-009-0019-1",2],[2,-0.8165,0.2579,"Classical Capacity of the Lossy Bosonic Channel: The Exact Solution",2004,"https://doi.org/10.1103/physrevlett.92.027902",1],[2,0.7926,0.2891,"Rational identities and applications to algebra and geometry",1966,"https://doi.org/10.1016/0021-8693(66)90004-4",1],[2,0.7108,-0.473,"Projective manifolds with splitting tangent bundle, I",2002,"https://doi.org/10.1007/s00209-002-0435-5",1],[2,-0.622,0.1606,"Finitely correlated states on quantum spin chains",1992,"https://doi.org/10.1007/bf02099178",2],[2,0.4619,0.6356,"An application of Lovász' local lemma‐A new lower bound for the van der Waerden number",1990,"https://doi.org/10.1002/rsa.3240010307",1],[2,0.0045,-0.8367,"Nonvanishing ofL-functions for GL (2)",1989,"https://doi.org/10.1007/bf01389047",1],[2,-0.4296,-0.2753,"On the structure theory of the Iwasawa algebra of a p-adic Lie group",2002,"https://doi.org/10.1007/s100970100038",4],[2,-0.2799,0.6816,"Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition",1944,"https://doi.org/10.1103/physrev.65.117",1],[2,0.7277,0.3362,"Fast string matching with k differences",1988,"https://doi.org/10.1016/0022-0000(88)90045-1",1],[2,0.4139,0.6388,"On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős in combinatorial geometry",1983,"https://doi.org/10.1007/bf02579184",1],[2,0.0265,-0.7514,"p-AdicL-functions for CM fields",1978,"https://doi.org/10.1007/bf01390187",1],[2,-0.7066,-0.1364,"Conic Geometric Optimization on the Manifold of Positive Definite Matrices",2015,"https://doi.org/10.1137/140978168",1],[2,-0.6111,0.3672,"Croissance des boules et des géodésiques fermées dans les nilvariétés",1983,"https://doi.org/10.1017/s0143385700002054",1],[2,-0.3708,0.3703,"ON A FORMULA FOR THE PRODUCT-MOMENT COEFFICIENT OF ANY ORDER OF A NORMAL FREQUENCY DISTRIBUTION IN ANY NUMBER OF VARIABLES",1918,"https://doi.org/10.1093/biomet/12.1-2.134",2],[2,-0.7564,-0.3587,"On the automorphisms of a graph product of abelian groups",2012,"https://doi.org/10.4171/ggd/153",1],[2,0.6392,0.5839,"Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems",1994,"https://doi.org/10.1017/s0143385700008142",1],[2,0.4878,-0.4398,"On the universal coverings of algebraic surfaces",1998,"https://doi.org/10.1016/s0012-9593(98)80105-5",2],[2,0.263,0.5974,"A note on Ramsey numbers",1980,"https://doi.org/10.1016/0097-3165(80)90030-8",3],[2,0.6619,-0.5596,"Calabi's conjecture and some new results in algebraic geometry",1977,"https://doi.org/10.1073/pnas.74.5.1798",1],[2,0.6713,-0.442,"Locally conformally Kähler metrics on Hopf surfaces",1998,"https://doi.org/10.5802/aif.1651",1],[2,-0.5014,-0.4236,"An extension of a result of ribe",1985,"https://doi.org/10.1007/bf02776080",2],[2,-0.2794,0.5801,"The connective constant of the honeycomb lattice equals sqrt(2+sqrt 2)",2012,"https://doi.org/10.4007/annals.2012.175.3.14",5],[2,0.7,0.2266,"Measured descent: a new embedding method for finite metrics",2005,"https://doi.org/10.1007/s00039-005-0527-6",1],[2,-0.4628,-0.6971,"A renormalized Perelman-functional and a lower bound for the ADM-mass",2011,"https://doi.org/10.1016/j.geomphys.2011.06.016",1],[2,-0.128,0.759,"PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE",2013,"https://doi.org/10.1017/s000497271300049x",1],[2,0.0778,-0.2064,"The Regularity of Mappings with a Convex Potential",1992,"https://doi.org/10.1090/s0894-0347-1992-1124980-8",2],[2,0.2495,-0.7921,"Analyticity of the Planar Limit of a Matrix Model",2012,"https://doi.org/10.1007/s00023-012-0191-y",1],[2,0.6029,-0.4374,"Kobayashi pseudometric on hyperkähler manifolds",2014,"https://doi.org/10.1112/jlms/jdu038",1],[2,-0.1907,0.8093,"Yang-Baxter equation and representation theory: I",1981,"https://doi.org/10.1007/bf02285311",1],[2,0.6249,0.546,"Limit Cycles for Non Smooth Differential Equations via Schwarzian Derivative",1996,"https://doi.org/10.1006/jdeq.1996.0177",1],[2,0.0436,-0.7637,"l-adic representations associated to modular forms over imaginary quadratic fields. II",1994,"https://doi.org/10.1007/bf01231575",1],[2,-0.3592,0.5608,"The supercritical phase of percolation is well behaved",1990,"https://doi.org/10.1098/rspa.1990.0100",2],[2,-0.4786,0.7296,"Percolation Critical Exponents Under the Triangle Condition",1991,"https://doi.org/10.1214/aop/1176990221",1],[2,0.0017,-0.7776,"Twists of newforms and pseudo-eigenvalues ofW-operators",1978,"https://doi.org/10.1007/bf01390245",1],[2,-0.7811,0.1951,"Quantum Correlations and Secret Bits",2005,"https://doi.org/10.1103/physrevlett.94.020501",1],[2,-0.2797,-0.5866,"First steps in symplectic topology",1986,"https://doi.org/10.1070/rm1986v041n06abeh004221",6],[2,0.4271,0.6079,"On a Problem of Heilbronn†",1972,"https://doi.org/10.1112/jlms/s2-4.3.545",1],[2,0.6516,0.0559,"Zur Theorie der Gesellschaftsspiele",1928,"https://doi.org/10.1007/bf01448847",2],[2,0.6478,0.1326,"Improved bound for complexity of matrix multiplication",2013,"https://doi.org/10.1017/s0308210511001648",2],[2,0.6433,-0.1462,"New volume ratio properties for convex symmetric bodies in ? n",1987,"https://doi.org/10.1007/bf01388911",3],[2,-0.1972,0.6215,"The variational problems for classical N-vector models",1996,"https://doi.org/10.1007/bf02099510",2],[2,0.3641,-0.6647,"Effective log Iitaka fibrations for surfaces and threefolds",2010,"https://doi.org/10.1007/s00229-010-0370-4",1],[2,0.7064,0.0672,"Ramsey Theory and Sequences of Random Variables",1998,"https://doi.org/10.1017/s0963548398003393",1],[2,-0.2834,-0.6597,"On a generic property of geodesic flows",1994,"https://doi.org/10.1007/bf01459728",1],[2,-0.6303,-0.3216,"Removable singularities in Yang-Mills fields",1982,"https://doi.org/10.1007/bf01947068",1],[2,0.0889,-0.77,"Commuting pairs and triples of matrices and related varieties",2000,"https://doi.org/10.1016/s0024-3795(00)00065-3",1],[2,-0.725,0.1848,"Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots",2001,"https://doi.org/10.1103/physrevb.63.085311",1],[2,-0.236,0.7359,"A Renormalisation Group Method. II. Approximation by Local Polynomials",2015,"https://doi.org/10.1007/s10955-014-1164-y",1],[2,-0.3657,0.7297,"A hierarchical version of the de Finetti and Aldous-Hoover representations",2013,"https://doi.org/10.1007/s00440-013-0521-0",1],[2,0.4913,-0.5914,"Differentielle Eigenschaften der Lokalisierungen analytischer Algebren",1972,"https://doi.org/10.1007/bf01419591",1],[2,0.3998,-0.6655,"Partitions of mass-distributions and of convex bodies by hyperplanes",1960,"https://doi.org/10.2140/pjm.1960.10.1257",1],[2,-0.8143,-0.0046,"Homotopical intersection theory I",2007,"https://doi.org/10.2140/gt.2007.11.939",1],[2,-0.3293,-0.6928,"A New Construction of Symplectic Manifolds",1995,"https://doi.org/10.2307/2118554",1],[2,-0.641,-0.0319,"Unitary representations of group extensions. I",1958,"https://doi.org/10.1007/bf02392428",2],[2,-0.7216,-0.406,"The algebra of oriented simplexes",1987,"https://doi.org/10.1016/0022-4049(87)90137-x",1],[2,0.0504,-0.6617,"Sharp estimates for the arithmetic Nullstellensatz",2001,"https://doi.org/10.1215/s0012-7094-01-10934-4",2],[2,0.583,-0.4918,"Projective contact manifolds",2000,"https://doi.org/10.1007/pl00005791",1],[2,0.6496,-0.4923,"On a conjecture of Mukai",1990,"https://doi.org/10.1007/bf02568756",1],[2,0.382,-0.7096,"Locally homogeneous complex manifolds",1969,"https://doi.org/10.1007/bf02392390",1],[2,-0.3551,0.7487,"Absence of geodesics in first-passage percolation on a half-plane",1998,"https://doi.org/10.1214/aop/1022855423",1],[2,0.5672,0.5978,"Numerical study on ergodic properties of triangular billiards",1997,"https://doi.org/10.1103/physreve.55.6384",1],[2,-0.1566,0.6438,"Master equation for spin–spin correlation functions of the XXZ chain",2005,"https://doi.org/10.1016/j.nuclphysb.2005.01.050",2],[2,-0.223,-0.7739,"Limiting Carleman weights and anisotropic inverse problems",2009,"https://doi.org/10.1007/s00222-009-0196-4",1],[2,-0.7851,-0.1547,"Completely Indecomposable Operators and a Uniqueness Theorem of Cartwright–Levinson Type",1999,"https://doi.org/10.1006/jfan.1999.3454",1],[2,-0.0205,0.7806,"Applications of a New K-Theoretic Theorem to Soluble Group Rings",1988,"https://doi.org/10.2307/2046771",1],[2,-0.7849,-0.2748,"Steenrod-Operationen in Kobordismen-Theorien",1968,"https://doi.org/10.1007/bf01110069",1],[2,0.1756,-0.0104,"�ber die Gleichverteilung von Zahlen mod. Eins",1916,"https://doi.org/10.1007/bf01475864",2],[2,0.0606,-0.8199,"O-minimality and the André-Oort conjecture for C^n",2011,"https://doi.org/10.4007/annals.2011.173.3.11",1],[2,0.4992,-0.5328,"Symmetric differentials and the fundamental group",2013,"https://doi.org/10.1215/00127094-2381442",1],[2,-0.587,0.2707,"Phase transitions in quantum spin systems with isotropic and nonisotropic interactions",1978,"https://doi.org/10.1007/bf01106729",5],[2,-0.2299,-0.7862,"Single-logarithmic stability for the Calderón problem with local data",2012,"https://doi.org/10.1515/jip-2012-0014",1],[2,-0.5832,0.2646,"New Approach to the Theory of Superexchange Interactions",1959,"https://doi.org/10.1103/physrev.115.2",2],[2,-0.3866,-0.653,"Distribution of Zeros of Random and Quantum Chaotic Sections of Positive Line Bundles",1999,"https://doi.org/10.1007/s002200050544",1],[2,-0.2867,0.575,"Some Limit Theorems for Percolation Processes with Necessary and Sufficient Conditions",1981,"https://doi.org/10.1214/aop/1176994364",2],[2,-0.3709,0.526,"Shortest spanning trees and a counterexample for random walks in random environments",2006,"https://doi.org/10.1214/009117905000000783",2],[2,0.305,-0.5018,"Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen",1960,"https://doi.org/10.1007/bf02684746",8],[2,0.249,-0.5941,"Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.",1981,"https://doi.org/10.1515/crll.1981.327.12",2],[2,0.5406,0.3701,"Some geometric applications of the beta distribution",1990,"https://doi.org/10.1007/bf00049302",3],[2,-0.1194,0.7603,"Graphical algebras — a new approach to congruence lattices",2010,"https://doi.org/10.1007/s00012-011-0105-8",1],[2,-0.8047,0.2958,"Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization",2010,"https://doi.org/10.4036/iis.2010.139",1],[2,0.4407,-0.6633,"On Zariski's Cancellation Problem in positive characteristic",2014,"https://doi.org/10.1016/j.aim.2014.07.012",1],[2,-0.3354,0.5707,"Logarithmic Sobolev inequalities for finite Markov chains",1996,"https://doi.org/10.1214/aoap/1034968224",2],[2,-0.5986,0.3693,"Full groups of Cantor minimal systems",1999,"https://doi.org/10.1007/bf02810689",1],[2,-0.1508,-0.6233,"Global solutions of Boltzmann's equation and the entropy inequality",1991,"https://doi.org/10.1007/bf00375684",2],[2,-0.2043,-0.7011,"Inverse problems for Einstein manifolds",2009,"https://doi.org/10.3934/ipi.2009.3.1",1],[2,-0.4761,-0.6118,"Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure",2015,"https://doi.org/10.1090/s0002-9947-2015-06111-x",1],[2,0.1834,-0.7807,"Periodic Gaussian Moats",1997,"https://doi.org/10.1080/10586458.1997.10504616",1],[2,-0.803,0.1464,"Arbitrary phases in quantum amplitude amplification",2000,"https://doi.org/10.1103/physreva.62.052304",1],[2,0.5242,-0.0,"La variation d'ordre p des semi-martingales",1976,"https://doi.org/10.1007/bf00532696",3],[2,0.057,-0.8227,"Diophantine Approximation on Abelian Varieties",1991,"https://doi.org/10.2307/2944319",1],[2,-0.5906,0.2458,"Justification of c -Number Substitutions in Bosonic Hamiltonians",2005,"https://doi.org/10.1103/physrevlett.94.080401",2],[2,0.4448,-0.4927,"New outlook on the Minimal Model Program, I",2012,"https://doi.org/10.1215/00127094-1723755",3],[2,-0.6723,-0.2583,"A Stable Decomposition of ω N Sn X",1974,"https://doi.org/10.1112/jlms/s2-7.4.577",1],[2,0.5155,-0.6818,"Rational equivalence of 0-cycles on some surfaces of general type withp g=0",1979,"https://doi.org/10.1007/bf01420343",1],[2,-0.6525,-0.0574,"On a problem of R.V. Kadison on maximal abelian *-subalgebras in factors",1981,"https://doi.org/10.1007/bf01389015",5],[2,-0.2152,0.6127,"Cluster Expansion for Abstract Polymer Models. New Bounds from an Old Approach",2007,"https://doi.org/10.1007/s00220-007-0279-2",2],[2,-0.12,0.8283,"Scopes reduction and Morita equivalence classes of blocks in finite classical groups II",2004,"https://doi.org/10.1016/j.jalgebra.2004.08.030",1],[2,0.6976,0.1344,"Stochastic Games with Perfect Information and Time Average Payoff",1969,"https://doi.org/10.1137/1011093",1],[2,-0.5173,0.3968,"Presenting GLn(k〈T〉)",1999,"https://doi.org/10.1016/s0022-4049(98)00022-x",3],[2,0.7061,0.2267,"�ber einen Funktionenraum",1935,"https://doi.org/10.1007/bf01472255",1],[2,0.3077,0.648,"A few remarks on Ramsey–Turán-type problems",2003,"https://doi.org/10.1016/s0095-8956(02)00038-2",1],[2,-0.2256,-0.7959,"Embedding of open riemannian manifolds by harmonic functions",1975,"https://doi.org/10.5802/aif.549",1],[2,-0.7286,0.2707,"Korteweg-de Vries equation: A completely integrable Hamiltonian system",1971,"https://doi.org/10.1007/bf01086739",1],[2,0.1389,0.7861,"The Ramsey number R(C8,K8)",2008,"https://doi.org/10.1016/j.disc.2007.11.064",1],[2,0.2735,0.5974,"Independence numbers of locally sparse graphs and a Ramsey type problem",1996,"https://doi.org/10.1002/(sici)1098-2418(199610)9:3<271::aid-rsa1>3.0.co;2-u",3],[2,0.1136,-0.7788,"Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression",1992,"https://doi.org/10.1112/plms/s3-64.2.265",1],[2,-0.7576,0.3237,"Comments on thermodynamics of supersymmetric matrix models",2009,"https://doi.org/10.1016/j.nuclphysb.2009.03.023",1],[2,-0.6568,-0.0327,"A II1 Factor Approach to the Kadison–Singer Problem",2014,"https://doi.org/10.1007/s00220-014-2055-4",2],[2,0.5652,0.5242,"JOININGS, INTERTWINING OPERATORS, FACTORS, AND MIXING PROPERTIES OF DYNAMICAL SYSTEMS",1994,"https://doi.org/10.1070/im1994v042n01abeh001535",1],[2,-0.7651,0.2818,"Mass formulas for stationary Einstein-Yang-Mills black holes and a simple proof of two staticity theorems",1993,"https://doi.org/10.1103/physrevd.47.r5209",1],[2,0.746,0.2576,"Residues and telescopers for bivariate rational functions",2012,"https://doi.org/10.1016/j.aam.2012.04.003",1],[2,-0.388,0.603,"A Remark About the Spectral Radius",2014,"https://doi.org/10.1093/imrn/rnu018",1],[2,0.654,0.0193,"Noise stability of functions with low influences: Invariance and optimality",2010,"https://doi.org/10.4007/annals.2010.171.295",4],[2,0.2829,0.6118,"A Generalization of Holder's Inequality and Some Probability Inequalities",1992,"https://doi.org/10.1214/aop/1176989534",2],[2,0.6421,0.0873,"Polynomial-time counting and sampling of two-rowed contingency tables",2000,"https://doi.org/10.1016/s0304-3975(99)00136-x",2],[2,0.7361,0.4119,"Sensitivity vs. block sensitivity of Boolean functions",1995,"https://doi.org/10.1007/bf01200762",1],[2,-0.0516,-0.7339,"On certain singular solutions of the partial differential equation u x 2 uxx+2uxuyuxy+u y 2 uyy=0",1984,"https://doi.org/10.1007/bf01174590",1],[2,0.7454,0.2184,"Top-down lower bounds for depth-three circuits",1995,"https://doi.org/10.1007/bf01268140",1],[2,0.5907,-0.4515,"Mixed Hodge structures on log smooth degenerations",2008,"https://doi.org/10.2748/tmj/1206734407",1],[2,0.5349,0.4903,"Stable manifolds under very weak hyperbolicity conditions",2005,"https://doi.org/10.1016/j.jde.2005.07.013",1],[2,-0.4529,0.6581,"Slowdown estimates and central limit theorem for random walks in random environment",2000,"https://doi.org/10.1007/s100970050001",1],[2,-0.3232,0.0261,"Characteristic Forms and Geometric Invariants",1974,"https://doi.org/10.2307/1971013",3],[2,0.7136,-0.4658,"Compact complex manifolds containing “global” spherical shells",1977,"https://doi.org/10.3792/pja/1195517920",1],[2,0.6281,0.3706,"Representation theory of finite semigroups, semigroup radicals and formal language theory",2008,"https://doi.org/10.1090/s0002-9947-08-04712-0",1],[2,-0.3468,-0.6834,"The weak Blaschke conjecture for ?P n",1994,"https://doi.org/10.1007/bf01232252",1],[2,0.8112,-0.314,"Palm pairs and the general mass-transport principle",2009,"https://doi.org/10.1007/s00209-009-0642-4",1],[2,-0.6485,-0.0492,"Solution of the Similarity Problem for Cyclic Representations of C ∗ - Algebras",1983,"https://doi.org/10.2307/2007028",2],[2,-0.6708,0.3199,"Zur Theorie des Ferromagnetismus",1928,"https://doi.org/10.1007/bf01328601",1],[2,-0.8109,-0.0756,"Completely order Isomorphic and Close C* -Algebras need not BE, * -Isomorphic",1983,"https://doi.org/10.1112/blms/15.6.604",1],[2,0.0934,-0.4154,"Abelianisation of orthogonal groups and the fundamental group of modular varieties",2009,"https://doi.org/10.1016/j.jalgebra.2009.01.037",2],[2,-0.046,0.7323,"Semicanonical Bases Arising From Enveloping Algebras",2000,"https://doi.org/10.1006/aima.1999.1873",1],[2,-0.5863,0.2801,"Random walk representations of the Heisenberg model",1991,"https://doi.org/10.1007/bf01057876",2],[2,0.041,-0.709,"Serre’s modularity conjecture (II)",2009,"https://doi.org/10.1007/s00222-009-0206-6",1],[2,0.6215,0.3752,"Approaching the Chasm at Depth Four",2014,"https://doi.org/10.1145/2629541",1],[2,-0.4207,-0.563,"Counterexamples to the Local Solvability of Monge-Ampère Equations in the Plane",2007,"https://doi.org/10.1080/03605300600635061",1],[2,0.6349,-0.2066,"Constructive Discrepancy Minimization by Walking on the Edges",2015,"https://doi.org/10.1137/130929400",3],[2,0.0186,0.0172,"Fast Probabilistic Algorithms for Verification of Polynomial Identities",1980,"https://doi.org/10.1145/322217.322225",9],[2,-0.8419,-0.1649,"A simple C*-algebra with a finite and an infinite projection",2003,"https://doi.org/10.1007/bf02392697",1],[2,-0.3471,0.7988,"The Fourier spectrum of critical percolation",2010,"https://doi.org/10.1007/s11511-010-0051-x",1],[2,-0.2361,0.6178,"Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes",1966,"https://doi.org/10.1214/aoms/1177699139",3],[2,-0.315,0.6435,"Coexistence for Richardson type competing spatial growth models",2005,"https://doi.org/10.1214/105051604000000729",1],[2,0.3158,-0.7982,"The proof of peterson's conjecture for GL(2) over a global field of characteristic p",1988,"https://doi.org/10.1007/bf01077720",1],[2,-0.7233,-0.3317,"The cohomology of a Coxeter group with group ring coefficients",1998,"https://doi.org/10.1215/s0012-7094-98-09113-x",1],[2,0.6499,-0.3474,"Summation of multiple Fourier series by spherical means",1936,"https://doi.org/10.1090/s0002-9947-1936-1501870-1",1],[2,-0.8411,0.0924,"Limit cycles and conformal invariance",2013,"https://doi.org/10.1007/jhep01(2013)184",1],[2,0.3776,-0.033,"Semianalytic and subanalytic sets",1988,"https://doi.org/10.1007/bf02699126",2],[2,0.3125,-0.5642,"Canonical filtrations and stability of direct images by Frobenius morphisms",2008,"https://doi.org/10.2748/tmj/1215442876",4],[2,-0.6058,0.2189,"Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time",1987,"https://doi.org/10.1007/bf00770326",4],[2,0.7025,-0.3433,"Negative results for Nikodym maximal functions and related oscillatory integrals in curved space",1997,"https://doi.org/10.4310/mrl.1997.v4.n2.a5",1],[2,-0.2505,0.5912,"The scaling limit of the energy correlations in non-integrable Ising models",2012,"https://doi.org/10.1063/1.4745910",5],[2,-0.8621,-0.0244,"Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring",1935,"https://doi.org/10.1007/bf01472217",1],[2,-0.446,-0.6629,"On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth",1989,"https://doi.org/10.1007/bf01389045",1],[2,-0.6518,-0.0477,"Near inclusions of C*-algebras",1980,"https://doi.org/10.1007/bf02392125",2],[2,-0.7438,-0.0255,"Projections in free product C $^*$ -algebras, II",2000,"https://doi.org/10.1007/s002090050505",1],[2,0.2932,0.5717,"Graph norms and Sidorenko’s conjecture",2010,"https://doi.org/10.1007/s11856-010-0005-1",4],[2,-0.4782,-0.6902,"On Harnack's inequalities for the K�hler-Ricci flow",1992,"https://doi.org/10.1007/bf01232027",1],[2,0.5671,-0.5389,"Finite Unitary Reflection Groups",1954,"https://doi.org/10.4153/cjm-1954-028-3",1],[2,0.5614,0.5227,"2-fold and 3-fold mixing: why 3-dot-type counterexamples are impossible in one dimension",2006,"https://doi.org/10.1007/s00574-006-0024-z",1],[2,0.5858,-0.5864,"Mirror symmetry, Langlands duality, and the Hitchin system",2003,"https://doi.org/10.1007/s00222-003-0286-7",1],[2,-0.6336,0.3072,"Some remarks on the location of zeroes of the partition function for lattice systems",1973,"https://doi.org/10.1007/bf01646488",1],[2,0.1372,-0.7022,"Berichtigung zur Arbeit: Ein Satz �ber die Primzahlmenge",1955,"https://doi.org/10.1007/bf01180652",1],[2,0.3602,-0.5511,"Cutting diagram method for systems of plane curves with base points",2007,"https://doi.org/10.4064/ap90-2-3",4],[2,0.843,0.0518,"An optimal sdp algorithm for max-cut, and equally optimal long code tests",2008,"https://doi.org/10.1145/1374376.1374425",1],[2,0.0193,-0.8071,"Fields of definition of ℚ -curves",2001,"https://doi.org/10.5802/jtnb.321",1],[2,-0.4964,-0.701,"Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space",2014,"https://doi.org/10.4310/mrl.2014.v21.n5.a7",1],[2,-0.645,-0.0229,"W*–superrigidity for Bernoulli actions of property (T) groups",2011,"https://doi.org/10.1090/s0894-0347-2011-00706-6",2],[2,0.2079,0.6349,"Are many small sets explicitly small?",2010,"https://doi.org/10.1145/1806689.1806693",4],[2,0.0536,0.7705,"A universal characterization of higher algebraic K-theory",2013,"https://doi.org/10.2140/gt.2013.17.733",1],[2,0.4131,-0.7536,"Lefschetz-riemann-roch for singular varieties",1979,"https://doi.org/10.1007/bf02392092",1],[2,-0.3081,-0.6787,"Lagrangian unknottedness in Stein surfaces",2012,"https://doi.org/10.4310/ajm.2012.v16.n1.a1",1],[2,0.0098,-0.6612,"L-functions and division towers",1988,"https://doi.org/10.1007/bf01456842",2],[2,0.6122,0.2027,"Competitive algorithms for server problems",1990,"https://doi.org/10.1016/0196-6774(90)90003-w",2],[2,-0.7616,-0.0925,"Completely bounded multilinear maps andC *-algebraic cohomology",1987,"https://doi.org/10.1007/bf01388706",1],[2,-0.5172,0.3943,"On Torsion-Free Groups with Infinitely Many Ends",1968,"https://doi.org/10.2307/1970577",2],[2,0.0666,-0.7963,"On the de Rham cohomology of algebraic varieties",1966,"https://doi.org/10.1007/bf02684807",1],[2,0.5922,-0.4682,"INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS",1980,"https://doi.org/10.1070/im1980v014n01abeh001060",1],[2,-0.4357,-0.2631,"On the First Variation of a Varifold",1972,"https://doi.org/10.2307/1970868",7],[2,-0.2741,0.596,"Discretely holomorphic parafermions and integrable loop models",2009,"https://doi.org/10.1088/1751-8113/42/10/102001",3],[2,-0.7077,-0.4909,"On the nontrivial projection problem",2009,"https://doi.org/10.1016/j.aim.2008.12.004",1],[2,-0.7802,0.169,"The Holevo capacity of a generalized amplitude-damping channel",2007,"https://doi.org/10.1088/1009-1963/16/7/006",1],[2,-0.6779,-0.5054,"A double-dual characterization of separable Banach spaces containingl 1",1975,"https://doi.org/10.1007/bf02760341",1],[2,-0.1255,0.7995,"The blocks of finite general linear and unitary groups",1982,"https://doi.org/10.1007/bf01389188",1],[2,0.3544,0.699,"Limits of dense graph sequences",2006,"https://doi.org/10.1016/j.jctb.2006.05.002",1],[2,0.5919,-0.3891,"A Characterization of Holomorphic Chains",1974,"https://doi.org/10.2307/1971062",1],[2,-0.694,-0.3349,"On Homotopy Tori II",1969,"https://doi.org/10.1112/blms/1.3.341",1],[2,0.688,0.2191,"Competitive algorithms for on-line problems",1988,"https://doi.org/10.1145/62212.62243",1],[2,-0.4116,-0.7451,"Lagrangian barriers and symplectic embeddings",2001,"https://doi.org/10.1007/pl00001678",1],[2,-0.4656,0.6873,"Eigenvectors of the discrete Laplacian on regular graphs—a statistical approach",2008,"https://doi.org/10.1088/1751-8113/41/43/435203",1],[2,-0.7667,-0.0382,"On the ubiquity of the Cauchy distribution in spectral problems",2014,"https://doi.org/10.1007/s00440-014-0587-3",1],[2,-0.6115,0.5334,"Residual finiteness, QCERF and fillings of hyperbolic groups",2009,"https://doi.org/10.2140/gt.2009.13.1043",1],[2,-0.1936,0.638,"General Griffiths' Inequalities on Correlations in Ising Ferromagnets",1968,"https://doi.org/10.1063/1.1664600",3],[2,0.326,-0.5787,"Pluricanonical systems on algebraic varieties of general type",2006,"https://doi.org/10.1007/s00222-006-0503-2",2],[2,-0.8122,-0.0694,"Duality for crossed products and the structure of von Neumann algebras of type III",1973,"https://doi.org/10.1007/bf02392041",1],[2,0.8194,0.1902,"Schnelle Multiplikation großer Zahlen",1971,"https://doi.org/10.1007/bf02242355",1],[2,0.5291,-0.5251,"Moduli Space of Semistable Pairs on a Curve",1991,"https://doi.org/10.1112/plms/s3-62.2.275",1],[2,0.6076,-0.5758,"Higher direct images of dualizing sheaves of Lagrangian fibrations",2005,"https://doi.org/10.1353/ajm.2005.0009",1],[2,0.5419,0.4895,"SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP",2009,"https://doi.org/10.1142/s0218127409024025",1],[2,0.7549,0.2415,"A strongly competitive randomized paging algorithm",1991,"https://doi.org/10.1007/bf01759073",1],[2,-0.2457,0.6718,"Beweis der Existenz einer Lösung der Differentialgleichung $$\\frac{{dy}}{{dx}} = f\\left( {x,y} \\right)$$ ohne Hinzunahme der Cauchy-Lipschitz'schen Bedingung",1898,"https://doi.org/10.1007/bf01707876",1],[2,0.7935,0.2127,"Bin Packing via Discrepancy of Permutations",2013,"https://doi.org/10.1145/2483699.2483704",1],[2,0.2842,0.6005,"On Tail Probabilities for Martingales",1975,"https://doi.org/10.1214/aop/1176996452",2],[2,0.4338,0.6646,"The lower bound conjecture for 3- and 4-manifolds",1970,"https://doi.org/10.1007/bf02392331",1],[2,-0.1488,-0.633,"The Boltzmann equation",1978,"https://doi.org/10.1007/bf01624788",2],[2,-0.1539,-0.7258,"Existence theory for a new class of variational problems",1990,"https://doi.org/10.1007/bf00376024",1],[2,0.5205,0.6761,"Roth’s theorem on progressions revisited",2008,"https://doi.org/10.1007/s11854-008-0020-x",1],[2,-0.2037,-0.7804,"A new approach to study the Vlasov-Maxwell system",2002,"https://doi.org/10.3934/cpaa.2002.1.103",1],[2,0.0018,-0.664,"Liftings of reduction maps for quaternion algebras",2012,"https://doi.org/10.1112/blms/bds098",2],[2,-0.2677,-0.7016,"Interior estimates for hypersurfaces moving by mean curvature",1991,"https://doi.org/10.1007/bf01232278",1],[2,0.5505,-0.5341,"Geometric Eisenstein series",2002,"https://doi.org/10.1007/s00222-002-0237-8",1],[2,0.4978,0.5438,"The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center",2009,"https://doi.org/10.1016/j.topol.2009.04.053",1],[2,-0.5923,0.2758,"Decoupling inequalities and interlacement percolation on G×ℤ",2011,"https://doi.org/10.1007/s00222-011-0340-9",2],[2,-0.3155,0.5777,"On Ruelle's Probability Cascades and an Abstract Cavity Method",1998,"https://doi.org/10.1007/s002200050450",5],[2,-0.104,0.6362,"Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups",1980,"https://doi.org/10.1007/bf02483080",2],[2,-0.5957,0.2746,"Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators",1973,"https://doi.org/10.1007/bf01646473",2],[2,0.2767,0.8223,"A short proof of the tree-packing theorem",2012,"https://doi.org/10.1016/j.disc.2012.01.020",1],[2,0.327,0.6857,"A generalization of Brouwer’s fixed point theorem",1941,"https://doi.org/10.1215/s0012-7094-41-00838-4",1],[2,-0.4718,0.4034,"Extended States in the Anderson Model on the Bethe Lattice",1998,"https://doi.org/10.1006/aima.1997.1688",2],[2,-0.6034,-0.2688,"Large Riemannian manifolds which are flexible",2003,"https://doi.org/10.4007/annals.2003.157.919",3],[2,-0.6797,-0.2985,"The coarse geometric Novikov conjecture and uniform convexity",2005,"https://doi.org/10.1016/j.aim.2005.08.004",1],[2,0.3327,0.5663,"Complete Minors and Independence Number",2010,"https://doi.org/10.1137/090766814",2],[2,-0.5539,-0.4664,"Every separable metric space is Lipschitz equivalent to a subset ofc 0 +",1974,"https://doi.org/10.1007/bf02757727",1],[2,-0.6603,0.0263,"On a simple unital projectionless C *-algebra",1999,"https://doi.org/10.1353/ajm.1999.0012",4],[2,-0.6442,0.1204,"A fast quantum mechanical algorithm for database search",1996,"https://doi.org/10.1145/237814.237866",2],[2,-0.6754,0.2421,"Maximal hypersurfaces in stationary asymptotically flat spacetimes",1994,"https://doi.org/10.1007/bf02101463",1],[2,-0.7128,0.1571,"Classical information capacity of a quantum channel",1996,"https://doi.org/10.1103/physreva.54.1869",1],[2,-0.6636,-0.563,"Lipschitz structure of quasi-Banach spaces",2009,"https://doi.org/10.1007/s11856-009-0031-z",1],[2,0.7655,0.2731,"Solving Difference Equations in Finite Terms",1999,"https://doi.org/10.1006/jsco.1998.0251",1],[2,-0.5532,0.4692,"Cubulating random groups at density less than $1/6$",2011,"https://doi.org/10.1090/s0002-9947-2011-05197-4",1],[2,-0.6482,-0.0605,"Type II 1 factors satisfying the spatial isomorphism conjecture",2012,"https://doi.org/10.1073/pnas.1217792109",2],[2,0.8238,0.0912,"Semidefinite programming in combinatorial optimization",1997,"https://doi.org/10.1007/bf02614315",1],[2,-0.17,0.7064,"On prime ends and local connectivity",2008,"https://doi.org/10.1112/blms/bdn061",1],[2,0.0874,-0.8207,"The Density of Rational Points on Curves and Surfaces",2002,"https://doi.org/10.2307/3062125",1],[2,0.2513,-0.6131,"Discrete Subgroups of Semisimple Lie Groups",1991,"https://doi.org/10.1007/978-3-642-51445-6",2],[2,-0.3381,0.8061,"Critical singularities of the random two-dimensional Ising model",1983,"https://doi.org/10.1103/physrevb.27.4518",1],[2,-0.3715,0.6856,"A Fourier view on the R -transform and related asymptotics of spherical integrals",2005,"https://doi.org/10.1016/j.jfa.2004.09.015",1],[2,-0.1222,0.8345,"The six operations for sheaves on Artin stacks I: Finite coefficients",2008,"https://doi.org/10.1007/s10240-008-0011-6",1],[2,-0.3436,0.5678,"A generalization of the Lindeberg principle",2006,"https://doi.org/10.1214/009117906000000575",6],[2,0.5764,0.2817,"A Constant-Factor Approximation Algorithm for the k-Median Problem",2002,"https://doi.org/10.1006/jcss.2002.1882",2],[2,0.853,0.1763,"A generalization of the fast LUP matrix decomposition algorithm and applications",1982,"https://doi.org/10.1016/0196-6774(82)90007-4",1],[2,0.5222,0.4744,"Errata to ‘A proof of Pesin's formula’",1983,"https://doi.org/10.1017/s0143385700001863",1],[2,-0.5445,0.3739,"Les immeubles des groupes de tresses g�n�ralis�s",1972,"https://doi.org/10.1007/bf01406236",2],[2,0.459,-0.4642,"THE NONVANISHING THEOREM",1986,"https://doi.org/10.1070/im1986v026n03abeh001160",2],[2,-0.6039,0.2096,"Gravitational Radiation in an Expanding Universe",1968,"https://doi.org/10.1063/1.1664615",3],[2,-0.8541,0.1122,"Efficient Refocusing of One-Spin and Two-Spin Interactions for NMR Quantum Computation",1999,"https://doi.org/10.1006/jmre.1999.1890",1],[2,-0.7066,-0.2936,"Tate cohomology and periodic localization of polynomial functors",2004,"https://doi.org/10.1007/s00222-003-0354-z",1],[2,-0.1539,-0.7224,"$C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional",1996,"https://doi.org/10.1137/s0036139994276070",1],[2,0.3995,-0.7186,"On the Kodaira dimension of minimal threefolds",1988,"https://doi.org/10.1007/bf01458437",1],[2,0.1533,-0.7657,"Primes in arithmetic progressions to large moduli",1986,"https://doi.org/10.1007/bf02399204",1],[2,-0.0489,0.7775,"Combinatorial geometries and torus strata on homogeneous compact manifolds",1987,"https://doi.org/10.1070/rm1987v042n02abeh001308",1],[2,0.3235,0.3307,"Algebraic methods in discrete analogs of the Kakeya problem",2010,"https://doi.org/10.1016/j.aim.2010.05.015",4],[2,0.7864,-0.0416,"Sharp kernel clustering algorithms and their associated Grothendieck inequalities",2012,"https://doi.org/10.1002/rsa.20398",1],[2,-0.4154,0.6927,"Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition",2006,"https://doi.org/10.1214/009117906000000368",1],[2,-0.1022,0.8404,"Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture",2010,"https://doi.org/10.4171/jncg/50",1],[2,0.6943,-0.3114,"Hp spaces of several variables",1972,"https://doi.org/10.1007/bf02392215",1],[2,-0.1313,0.7632,"ON REPRESENTATIONS OF ALGEBRAIC GROUPS IN CHARACTERISTIC TWO",1996,"https://doi.org/10.1080/00927879608542648",1],[2,0.6403,0.0408,"Interactive proofs and the hardness of approximating cliques",1996,"https://doi.org/10.1145/226643.226652",3],[2,0.7634,0.4205,"On Algebras Which are Connected with the Semisimple Continuous Groups",1937,"https://doi.org/10.2307/1968843",1],[2,0.7836,-0.0817,"An inequality for Hilbert-Schmidt norm",1981,"https://doi.org/10.1007/bf01941801",1],[2,0.4476,-0.6438,"Quaternionic pryms and Hodge classes",2003,"https://doi.org/10.1016/s0040-9383(02)00004-6",1],[2,0.2629,0.6023,"Cyclic‐order graphs and Zarankiewicz's crossing‐number conjecture",1993,"https://doi.org/10.1002/jgt.3190170602",2],[2,-0.7041,-0.3352,"On spaces having the homotopy type of 𝐶𝑊-complex",1959,"https://doi.org/10.1090/s0002-9947-1959-0100267-4",1],[2,-0.2091,0.6287,"Ordering, metastability and phase transitions in two-dimensional systems",1973,"https://doi.org/10.1088/0022-3719/6/7/010",8],[2,0.6326,-0.188,"Construction of sets of positive measure not containing an affine image of a given infinite structure",1987,"https://doi.org/10.1007/bf02780397",2],[2,0.0789,-0.2427,"Extension of range of functions",1934,"https://doi.org/10.1090/s0002-9904-1934-05978-0",3],[2,0.2313,-0.6064,"(Log) twisted curves",2007,"https://doi.org/10.1112/s0010437x06002442",3],[2,-0.2563,0.5943,"Planar Ising magnetization field I. Uniqueness of the critical scaling limit",2015,"https://doi.org/10.1214/13-aop881",2],[2,-0.4005,-0.6241,"Compact four-dimensional self-dual EINSTEIN manifolds with positive scalar curvature",1982,"https://doi.org/10.1002/mana.19821060124",1],[2,0.3628,-0.652,"Kähler currents and null loci",2015,"https://doi.org/10.1007/s00222-015-0585-9",1],[2,-0.7434,-0.2702,"Model Categories of Diagram Spectra",2001,"https://doi.org/10.1112/s0024611501012692",1],[2,-0.3891,0.2009,"On the existence of probability measures with given marginals",1978,"https://doi.org/10.5802/aif.717",2],[2,-0.4106,0.7342,"Inference from correlated patterns: a unified theory for perceptron learning and linear vector channels",2008,"https://doi.org/10.1088/1742-6596/95/1/012001",1],[2,0.6453,0.0399,"Optimal Inapproximability Results for MAX‐CUT and Other 2‐Variable CSPs?",2007,"https://doi.org/10.1137/s0097539705447372",3],[2,-0.0591,-0.1506,"A Note on Borel's Density Theorem",1976,"https://doi.org/10.1090/s0002-9939-1976-0422497-x",2],[2,-0.1186,0.7184,"The maximal subgroups of classical algebraic groups",1987,"https://doi.org/10.1090/memo/0365",1],[2,-0.4641,0.5377,"Classification theory for non-elementary classes I: The number of uncountable models of $$\\psi \\in L_{w_1 ,w} $$ . Part B. Part B",1983,"https://doi.org/10.1007/bf02762887",1],[2,-0.6379,-0.015,"IRREDUCIBLE OPERATOR ALGEBRAS",1957,"https://doi.org/10.1073/pnas.43.3.273",4],[2,-0.2542,0.8262,"The Ginibre inequality",1980,"https://doi.org/10.1007/bf01198120",1],[2,0.5307,-0.6234,"L2-Cohomology and group cohomology",1986,"https://doi.org/10.1016/0040-9383(86)90039-x",1],[2,0.0489,-0.8182,"Modularity of 2-adic Barsotti-Tate representations",2009,"https://doi.org/10.1007/s00222-009-0207-5",1],[2,0.6422,0.2825,"Fast uniform generation of regular graphs",1990,"https://doi.org/10.1016/0304-3975(90)90164-d",1],[2,-0.3324,0.5746,"Relaxational dynamics of the Edwards-Anderson model and the mean-field theory of spin-glasses",1982,"https://doi.org/10.1103/physrevb.25.6860",4],[2,-0.5518,0.6323,"CATEGORICITY FROM ONE SUCCESSOR CARDINAL IN TAME ABSTRACT ELEMENTARY CLASSES",2006,"https://doi.org/10.1142/s0219061306000554",1],[2,-0.7076,-0.1104,"Multiplicative functions on the lattice of non-crossing partitions and free convolution",1994,"https://doi.org/10.1007/bf01459754",1],[2,-0.7288,-0.0895,"Noncommuting Random Products",1963,"https://doi.org/10.1090/s0002-9947-1963-0163345-0",1],[2,-0.4119,-0.1451,"The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension",1970,"https://doi.org/10.1090/s0002-9904-1970-12542-3",6],[2,-0.0427,-0.1352,"A Combinatorial Proof of the All Minors Matrix Tree Theorem",1982,"https://doi.org/10.1137/0603033",3],[2,0.8654,-0.0893,"Hypercontractivity and the Bakry-Emery criterion for compact Lie groups",1986,"https://doi.org/10.1016/0022-1236(86)90025-x",1],[2,0.8097,-0.1575,"On convex perturbations with a bounded isotropic constant",2006,"https://doi.org/10.1007/s00039-006-0588-1",1],[2,-0.4925,-0.6285,"Semiconcave Functions in Alexandrov’s Geometry",2006,"https://doi.org/10.4310/sdg.2006.v11.n1.a6",1],[2,0.7313,0.1766,"Faster Integer Multiplication",2009,"https://doi.org/10.1137/070711761",1],[2,-0.4131,-0.6838,"Convergence of random zeros on complex manifolds",2008,"https://doi.org/10.1007/s11425-008-0060-9",1],[2,0.0254,-0.7892,"Fonctions L p -adiques d’une courbe elliptique et points rationnels",1993,"https://doi.org/10.5802/aif.1362",1],[2,-0.701,-0.0231,"The eigenvalues of random symmetric matrices",1981,"https://doi.org/10.1007/bf02579329",1],[2,0.2479,-0.6097,"An ergodic Szemerédi theorem for commuting transformations",1978,"https://doi.org/10.1007/bf02790016",2],[2,-0.7737,0.2333,"Computing the Polar Decomposition—with Applications",1986,"https://doi.org/10.1137/0907079",1],[2,0.6255,-0.1871,"Six Standard Deviations Suffice",1985,"https://doi.org/10.1090/s0002-9947-1985-0784009-0",3],[2,-0.7058,0.0897,"Order Parameter for Spin-Glasses",1983,"https://doi.org/10.1103/physrevlett.50.1946",1],[2,-0.3129,-0.7045,"Dynamical systems with two degrees of freedom",1917,"https://doi.org/10.1090/s0002-9947-1917-1501070-3",1],[2,-0.794,0.3469,"On stable sector in supermembrane matrix model",2000,"https://doi.org/10.1016/s0550-3213(00)00205-4",1],[2,0.3212,0.7878,"More on the combinatorial invariance of Kazhdan–Lusztig polynomials",2006,"https://doi.org/10.1016/j.jcta.2006.06.009",1],[2,0.2968,0.7166,"Equivariant cohomology, Koszul duality, and the localization theorem",1997,"https://doi.org/10.1007/s002220050197",1],[2,-0.8123,0.0936,"On structure of the algebra of field operators",1962,"https://doi.org/10.1007/bf02745645",1],[2,0.51,-0.6479,"Stability conditions on K3 surfaces",2008,"https://doi.org/10.1215/s0012-7094-08-14122-5",1],[2,0.571,-0.4742,"Fano 5-folds with nef tangent bundles and Picard numbers greater than one",2013,"https://doi.org/10.1007/s00209-013-1185-2",1],[2,-0.2313,-0.7943,"On an inverse boundary value problem",2006,"https://doi.org/10.1590/s0101-82052006000200002",1],[2,-0.7259,0.1436,"A parallel repetition theorem for entangled projection games",2015,"https://doi.org/10.1007/s00037-015-0098-3",1],[2,0.4691,0.2276,"Expander flows, geometric embeddings and graph partitioning",2009,"https://doi.org/10.1145/1502793.1502794",3],[2,-0.7527,0.0137,"Non-simple purely infinite C *-algebras",2000,"https://doi.org/10.1353/ajm.2000.0021",1],[2,-0.25,0.618,"Rounding effects of quenched randomness on first-order phase transitions",1990,"https://doi.org/10.1007/bf02096933",2],[2,0.0337,-0.8147,"Galois representations into GL2 (Z p [[X]]) attached to ordinary cusp forms",1986,"https://doi.org/10.1007/bf01390329",1],[2,0.7802,-0.3297,"Rigidity of circle domains whose boundary has?-finite linear measure",1994,"https://doi.org/10.1007/bf01231761",1],[2,0.8224,-0.1794,"A remark on the Mahler conjecture: Local minimality of the unit cube",2010,"https://doi.org/10.1215/00127094-2010-042",1],[2,0.2333,0.762,"Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry",2010,"https://doi.org/10.1007/s00039-010-0073-8",1],[2,-0.6297,-0.1826,"Moduli of $p$-divisible groups",2013,"https://doi.org/10.4310/cjm.2013.v1.n2.a1",5],[2,-0.4614,0.6955,"Absolutely Continuous Spectrum for the Anderson Model on a Tree: A Geometric Proof of Klein’s Theorem",2006,"https://doi.org/10.1007/s00220-006-0120-3",1],[2,-0.2519,0.595,"Critical behaviour of the phase transition in the 2D Ising Model with impurities",1983,"https://doi.org/10.1080/00018738300101541",3],[2,0.8174,0.1697,"Rectangular Matrix Multiplication Revisited",1997,"https://doi.org/10.1006/jcom.1997.0438",1],[2,0.7786,-0.283,"Single annulus $L^p$ estimates for Hilbert transforms along vector fields",2013,"https://doi.org/10.4171/rmi/748",1],[2,-0.7512,0.2409,"Estimating the spectrum of a density operator",2001,"https://doi.org/10.1103/physreva.64.052311",1],[2,-0.6171,0.2248,"A simple proof of a theorem of Laptev and Weidl",2000,"https://doi.org/10.4310/mrl.2000.v7.n2.a5",2],[2,0.3537,-0.7694,"On some questions of Erdős and Graham about Egyptian fractions",1999,"https://doi.org/10.1112/s0025579300007828",1],[2,0.7431,-0.0852,"Remarks on the conjectured log-Brunn–Minkowski inequality",2014,"https://doi.org/10.1007/s10711-014-9993-z",1],[2,-0.6056,0.2222,"The Area of Horizons and the Trapped Region",2009,"https://doi.org/10.1007/s00220-008-0723-y",5],[2,0.6546,-0.0893,"Fast Construction of the Fejér and Clenshaw–Curtis Quadrature Rules",2006,"https://doi.org/10.1007/s10543-006-0045-4",2],[2,-0.6385,-0.4698,"A Proof of the Mazur-Ulam Theorem",2003,"https://doi.org/10.1080/00029890.2003.11920004",1],[2,-0.6481,0.4066,"On algebraic properties of topological full groups",2014,"https://doi.org/10.1070/sm2014v205n06abeh004400",1],[2,0.3847,0.6036,"Distinct Distances in Three and Higher Dimensions",2004,"https://doi.org/10.1017/s0963548304006091",1],[2,0.7056,0.3638,"A greedy approximation algorithm for constructing shortest common superstrings",1988,"https://doi.org/10.1016/0304-3975(88)90167-3",1],[2,0.3709,-0.5351,"Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds",2001,"https://doi.org/10.1016/s0012-9593(01)01069-2",5],[2,-0.3084,-0.6659,"The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category",1968,"https://doi.org/10.1007/bf01404825",1],[2,0.0277,0.0354,"An inequality related to the isoperimetric inequality",1949,"https://doi.org/10.1090/s0002-9904-1949-09320-5",4],[2,-0.4367,0.6781,"Percolation on nonunimodular transitive graphs",2006,"https://doi.org/10.1214/009117906000000494",1],[2,0.3554,-0.5222,"Minimal models for Kähler threefolds",2015,"https://doi.org/10.1007/s00222-015-0592-x",6],[2,0.0792,-0.779,"On the density of rational and integral points on algebraic varieties",2007,"https://doi.org/10.1515/crelle.2007.037",1],[2,-0.1139,0.7292,"On the orders of primitive groups",2002,"https://doi.org/10.1016/s0021-8693(02)00646-4",1],[2,-0.6966,0.3193,"Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions",1979,"https://doi.org/10.1103/physrevlett.42.673",1],[2,0.4875,-0.544,"Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions",1998,"https://doi.org/10.1007/s002080050246",1],[2,-0.8261,0.2516,"A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6",2009,"https://doi.org/10.1088/1751-8113/42/24/245305",1],[2,-0.6114,0.2093,"A Morse-Sard theorem for the distance function on Riemannian manifolds",2004,"https://doi.org/10.1007/s00229-003-0436-7",2],[2,-0.7274,-0.3319,"Shifted symplectic structures",2013,"https://doi.org/10.1007/s10240-013-0054-1",1],[2,-0.0592,0.8589,"Semicanonical bases and preprojective algebras",2005,"https://doi.org/10.1016/j.ansens.2004.12.001",1],[2,0.4433,-0.4796,"On a Differential-Geometric Method in the Theory of Analytic Stacks",1953,"https://doi.org/10.1073/pnas.39.12.1268",2],[2,0.5654,-0.3103,"A Sharp Bilinear Cone Restriction Estimate",2001,"https://doi.org/10.2307/2661365",3],[2,-0.1056,0.8024,"Weights for symmetric and general linear groups",1990,"https://doi.org/10.1016/0021-8693(90)90163-i",1],[2,-0.4521,-0.4328,"Pseudodifferential Operators and Nonlinear PDE",1991,"https://doi.org/10.1007/978-1-4612-0431-2",2],[2,-0.4749,0.6683,"Binomial determinants, paths, and hook length formulae",1985,"https://doi.org/10.1016/0001-8708(85)90121-5",1],[2,-0.7602,0.2083,"Repulsive interactions in quantum Hall systems as a pairing problem",2013,"https://doi.org/10.1103/physrevb.88.165303",1],[2,0.7283,0.2985,"Faster scaling algorithms for general graph matching problems",1991,"https://doi.org/10.1145/115234.115366",1],[2,-0.3795,-0.6607,"COHOMOLOGY OF DYNAMICAL SYSTEMS",1972,"https://doi.org/10.1070/im1972v006n06abeh001919",1],[2,0.3271,0.6747,"A statistical theorem of set addition",1994,"https://doi.org/10.1007/bf01212974",1],[2,0.6346,-0.1028,"Improved Lower Bounds for Embeddings into $L_1$",2009,"https://doi.org/10.1137/060660126",3],[2,-0.362,0.5506,"A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs",1980,"https://doi.org/10.1016/s0195-6698(80)80030-8",2],[2,-0.3386,0.7926,"The Spontaneous Magnetization of a Two-Dimensional Ising Model",1952,"https://doi.org/10.1103/physrev.85.808",1],[2,0.4119,0.6176,"Spherical codes and Borsuk's conjecture",2002,"https://doi.org/10.1016/s0012-365x(01)00202-3",1],[2,-0.0272,0.8015,"On the spectrum of lamplighter groups and percolation clusters",2008,"https://doi.org/10.1007/s00208-008-0222-7",1],[2,-0.582,-0.3993,"Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach",1976,"https://doi.org/10.4064/sm-58-1-45-90",1],[2,0.7664,-0.3097,"The hardy-littlewood maximal function of a sobolev function",1997,"https://doi.org/10.1007/bf02773636",1],[2,-0.7179,0.0789,"Scale and conformal invariance in quantum field theory",1988,"https://doi.org/10.1016/0550-3213(88)90179-4",1],[2,-0.7276,0.4511,"Homology fibrations and the ?group-completion? theorem",1976,"https://doi.org/10.1007/bf01403148",1],[2,-0.6193,-0.2117,"Formal Complex Multiplication in Local Fields",1965,"https://doi.org/10.2307/1970622",2],[2,-0.402,-0.5981,"𝑊^{2,𝑝}-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients",1993,"https://doi.org/10.1090/s0002-9947-1993-1088476-1",1],[2,-0.7321,0.3362,"The partition of unity finite element method: Basic theory and applications",1996,"https://doi.org/10.1016/s0045-7825(96)01087-0",1],[2,0.4667,0.4709,"Convex billiards and a theorem by E. Hopf",1993,"https://doi.org/10.1007/bf02572397",2],[2,0.7468,0.3522,"Optimal scheduling for two-processor systems",1972,"https://doi.org/10.1007/bf00288685",1],[2,-0.6859,0.1827,"The spectral gap for some spin chains with discrete symmetry breaking",1996,"https://doi.org/10.1007/bf02099509",1],[2,-0.7953,0.2357,"Numerical evidence for the maximum number of mutually unbiased bases in dimension six",2007,"https://doi.org/10.1016/j.physleta.2007.04.059",1],[2,-0.1173,-0.7944,"For which reproducing kernel Hilbert spaces is Pick's theorem true?",1993,"https://doi.org/10.1007/bf01358955",1],[2,-0.7137,-0.3192,"Are the borromean rings A-B-slice",1986,"https://doi.org/10.1016/0166-8641(86)90055-6",1],[2,-0.314,0.5875,"A mathematical reformulation of Derrida's REM and GREM",1987,"https://doi.org/10.1007/bf01210613",8],[2,0.5639,-0.5182,"Hyperelliptic jacobians without complex multiplication",2000,"https://doi.org/10.4310/mrl.2000.v7.n1.a11",1],[2,0.6767,-0.3404,"The endpoint multilinear Kakeya theorem via the Borsuk–Ulam theorem",2013,"https://doi.org/10.1016/j.jfa.2013.01.012",1],[2,-0.5638,-0.4349,"Gδ-embeddings in Hilbert space",1985,"https://doi.org/10.1016/0022-1236(85)90039-4",1],[2,-0.6248,-0.1813,"Characteristic elements for 𝑝-torsion Iwasawa modules",2005,"https://doi.org/10.1090/s1056-3911-05-00415-7",3],[2,0.4068,-0.4898,"Géométrie algébrique et géométrie analytique",1956,"https://doi.org/10.5802/aif.59",11],[2,-0.2794,0.6842,"A bivariate local limit theorem",1991,"https://doi.org/10.1016/0047-259x(91)90093-h",1],[2,0.3325,0.6804,"Covering finite fields with cosets of subspaces",1977,"https://doi.org/10.1016/0097-3165(77)90001-2",1],[2,-0.3745,-0.5372,"Curvature tensor under the Ricci flow",2005,"https://doi.org/10.1353/ajm.2005.0042",2],[2,0.3579,0.7305,"A condition for matchability in hypergraphs",1995,"https://doi.org/10.1007/bf01793010",1],[2,0.256,0.8101,"Spanning Subgraphs of Random Graphs",2000,"https://doi.org/10.1017/s0963548399004150",1],[2,-0.6138,-0.2082,"The non-existence of odd primary Arf invariant elements in stable homotopy",1978,"https://doi.org/10.1017/s0305004100054712",2],[2,0.7107,0.4314,"Improved bounds for reduction to depth 4 and depth 3",2014,"https://doi.org/10.1016/j.ic.2014.09.004",1],[2,0.442,-0.5026,"Strict and nonstrict positivity of direct image bundles",2010,"https://doi.org/10.1007/s00209-010-0783-5",3],[2,0.7448,0.0824,"On average distortion of embedding metrics into the line and into L 1",2003,"https://doi.org/10.1145/780542.780609",1],[2,-0.8149,-0.1654,"Extending states on preordered semigroups and the existence of quasitraces on C∗-algebras",1992,"https://doi.org/10.1016/0021-8693(92)90098-7",1],[2,0.6334,-0.5011,"Hodge theory and derived categories of cubic fourfolds",2014,"https://doi.org/10.1215/00127094-2738639",1],[2,0.7449,0.3832,"Solving SCS for bounded length strings in fewer than steps",2014,"https://doi.org/10.1016/j.ipl.2014.03.004",1],[2,0.7063,-0.4647,"Donaldson theory on non-Kählerian surfaces and class VII surfaces with b2=1",2005,"https://doi.org/10.1007/s00222-005-0451-2",1],[2,0.0299,-0.857,"A formal inverse to the Cayley-Hamilton theorem",1987,"https://doi.org/10.1016/0021-8693(87)90073-1",1],[2,-0.2369,0.8267,"On homogenization and scaling limit of some gradient perturbations of a massless free field",1997,"https://doi.org/10.1007/bf02509796",1],[2,0.4769,0.6773,"A Lower Bound for Heilbronn'S Problem",1982,"https://doi.org/10.1112/jlms/s2-25.1.13",1],[2,0.3511,0.6698,"Difference sets without squares",1984,"https://doi.org/10.1007/bf02454169",1],[2,-0.1836,-0.7312,"On the ‘one and one‐half dimensional’ relativistic Vlasov–Maxwell system",1990,"https://doi.org/10.1002/mma.1670130207",1],[2,-0.683,-0.236,"Ideals in Triangulated Categories: Phantoms, Ghosts and Skeleta",1998,"https://doi.org/10.1006/aima.1998.1735",1],[2,0.5833,0.6121,"Ergodicity of eigenfunctions for ergodic billiards",1996,"https://doi.org/10.1007/bf02099513",1],[2,-0.6096,0.2129,"A gradient bound for free boundary graphs",2010,"https://doi.org/10.1002/cpa.20354",2],[2,0.0564,-0.8317,"Positivite et Discretion des Points Algebriques des Courbes",1998,"https://doi.org/10.2307/120987",1],[2,-0.5285,-0.5949,"Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni",1954,"https://doi.org/10.1007/bf02412838",1],[2,-0.0789,0.8491,"Character deflations and a generalization of the Murnaghan–Nakayama rule",2014,"https://doi.org/10.1515/jgth-2014-0023",1],[2,0.0369,0.7113,"The Plus Closure in Mixed Characteristic",1997,"https://doi.org/10.1006/jabr.1997.7023",1],[2,0.4323,-0.4942,"Kodaira dimension of algebraic fiber spaces over curves",1982,"https://doi.org/10.1007/bf01404756",2],[2,-0.1724,-0.7862,"Variational problems in SBV and image segmentation",1989,"https://doi.org/10.1007/bf00052492",1],[2,-0.3363,-0.7735,"On the iteration of closed geodesics and the sturm intersection theory",1956,"https://doi.org/10.1002/cpa.3160090204",1],[2,0.7933,0.1892,"Monte-Carlo approximation algorithms for enumeration problems",1989,"https://doi.org/10.1016/0196-6774(89)90038-2",1],[2,-0.0385,0.7309,"On the Eisenbud-Green-Harris conjecture",2014,"https://doi.org/10.1090/s0002-9939-2014-12216-7",1],[2,-0.1566,-0.6218,"On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability",1989,"https://doi.org/10.2307/1971423",2],[2,-0.3863,-0.6411,"A negatively curved Kähler threefold not covered by the ball",2004,"https://doi.org/10.1007/s00222-004-0414-z",1],[2,-0.5635,0.6115,"Computability of Recursive Functions",1963,"https://doi.org/10.1145/321160.321170",1],[2,0.3595,-0.5428,"Brunn-Minkowski inequality for multiplicities",1996,"https://doi.org/10.1007/s002220050081",2],[2,-0.5683,-0.5303,"A Common Fixed-Point Theorem for Compact Convex Semigroups of Nonexpansive Mappings",1975,"https://doi.org/10.1090/s0002-9939-1975-0383164-3",1],[2,0.6089,0.2229,"Inequalities in Fourier Analysis",1975,"https://doi.org/10.2307/1970980",2],[2,0.6323,-0.3157,"The Conformal Transformations of a Space of Four Dimensions and Their Applications to Geometrical Optics",1909,"https://doi.org/10.1112/plms/s2-7.1.70",1],[2,-0.7407,-0.358,"Graphs of Some CAT(0) Complexes",2000,"https://doi.org/10.1006/aama.1999.0677",1],[2,0.2264,0.8313,"Influences of Variables and Threshold Intervals under Group Symmetries",1997,"https://doi.org/10.1007/s000390050015",1],[2,0.4542,0.4584,"Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theorems",1987,"https://doi.org/10.1016/0009-2509(87)80099-4",2],[2,0.7995,0.2393,"Exponential lower bounds for depth three Boolean circuits",2000,"https://doi.org/10.1007/pl00001598",1],[2,-0.6124,0.2503,"Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties",1957,"https://doi.org/10.1103/physrev.106.1135",5],[2,0.8485,0.085,"Self-testing/correcting for polynomials and for approximate functions",1991,"https://doi.org/10.1145/103418.103429",1],[2,0.3207,0.6364,"Bipartite Subgraphs and Quasi-Randomness",2004,"https://doi.org/10.1007/s00373-004-0556-1",1],[2,0.5853,-0.422,"Symmetric functions, conjugacy classes and the flag variety",1981,"https://doi.org/10.1007/bf01389168",1],[2,0.7986,-0.08,"Convex trace functions and the Wigner-Yanase-Dyson conjecture",1973,"https://doi.org/10.1016/0001-8708(73)90011-x",1],[2,-0.0744,0.8444,"Even partitions in plethysms",2010,"https://doi.org/10.1016/j.jalgebra.2010.10.031",1],[2,-0.4309,0.3617,"Infinite Number of Order Parameters for Spin-Glasses",1979,"https://doi.org/10.1103/physrevlett.43.1754",5],[2,0.2259,0.8158,"Interlacing families I: Bipartite Ramanujan graphs of all degrees",2015,"https://doi.org/10.4007/annals.2015.182.1.7",1],[2,-0.5077,-0.5709,"About the macroscopic dimension of certain PSC–Manifolds",2009,"https://doi.org/10.2140/agt.2009.9.21",1],[2,-0.815,-0.0059,"An approximation theorem for nuclear operator systems",2011,"https://doi.org/10.1016/j.jfa.2011.04.009",1],[2,-0.2992,0.7228,"The Brownian map is the scaling limit of uniform random plane quadrangulations",2013,"https://doi.org/10.1007/s11511-013-0096-8",1],[2,0.5349,0.3572,"Information Theoretical Analysis of Multivariate Correlation",1960,"https://doi.org/10.1147/rd.41.0066",2],[2,-0.2194,0.6265,"Stochastic differential equations for the non linear filtering problem",1972,"https://doi.org/10.18910/5728",2],[2,0.8173,0.3088,"Littlewood-type problems on subarcs of the unit circle",1997,"https://doi.org/10.1512/iumj.1997.46.1435",1],[2,-0.1869,-0.839,"Uniform Estimates on the Number of Collisions in Semi-Dispersing Billiards",1998,"https://doi.org/10.2307/120962",1],[2,-0.7345,0.2693,"Uniqueness of (dilatonic) charged black holes and black p -branes in higher dimensions",2002,"https://doi.org/10.1103/physrevd.66.044010",1],[2,-0.8531,-0.1058,"Hochschild cohomology of factors with property Γ",2003,"https://doi.org/10.4007/annals.2003.158.635",1],[2,0.2541,0.2608,"On a Problem of Formal Logic",1930,"https://doi.org/10.1112/plms/s2-30.1.264",7],[2,-0.201,0.62,"Universality in the 2D Ising model and conformal invariance of fermionic observables",2012,"https://doi.org/10.1007/s00222-011-0371-2",8],[2,-0.6098,0.6109,"The Structural Theory of Pure Type Systems",2014,"https://doi.org/10.1007/978-3-319-08918-8_25",1],[2,-0.1346,-0.8061,"Regularity of flat level sets in phase transitions",2009,"https://doi.org/10.4007/annals.2009.169.41",1],[2,0.5833,-0.5386,"On analytic surfaces with double points",1958,"https://doi.org/10.1098/rspa.1958.0181",1],[2,0.694,0.1793,"The modified integer round-up property of the one-dimensional cutting stock problem",1995,"https://doi.org/10.1016/0377-2217(95)00022-i",1],[2,0.7632,-0.3859,"On the Dimension of Kakeya Sets and Related Maximal Inequalities",1999,"https://doi.org/10.1007/s000390050087",1],[2,0.7719,0.1366,"Computing multidimensional residues",1996,"https://doi.org/10.1007/978-3-0348-9104-2_8",1],[2,-0.8096,0.1013,"Conditional expectations in von Neumann algebras and a theorem of Takesaki",1982,"https://doi.org/10.1016/0022-1236(82)90022-2",1],[2,0.7322,0.1386,"Energy parity games",2012,"https://doi.org/10.1016/j.tcs.2012.07.038",1],[2,-0.2524,0.6086,"Critical Behavior for 2D Uniform and¶Disordered Ferromagnets at Self-Dual Points",1999,"https://doi.org/10.1007/s002200050649",3],[2,-0.3237,-0.6745,"Manifolds without conjugate points and their fundamental groups",2014,"https://doi.org/10.4310/jdg/1393424918",1],[2,-0.7494,0.3566,"Quantum diffusion of the random Schrödinger evolution in the scaling limit",2008,"https://doi.org/10.1007/s11511-008-0027-2",1],[2,-0.3474,0.7355,"On the Eigenvalues of Random Matrices",1994,"https://doi.org/10.1017/s0021900200106989",1],[2,0.7417,-0.027,"Balancing vectors and Gaussian measures ofn-dimensional convex bodies",1998,"https://doi.org/10.1002/(sici)1098-2418(199807)12:4<351::aid-rsa3>3.0.co;2-s",1],[2,0.455,0.6187,"On the quantitative distribution of polynomial nilsequences -- erratum",2014,"https://doi.org/10.4007/annals.2014.179.3.8",1],[2,-0.077,0.7029,"Algebras that satisfy Auslander’s condition on vanishing of cohomology",2009,"https://doi.org/10.1007/s00209-009-0500-4",1],[2,-0.6731,-0.2661,"ON THE COBAR CONSTRUCTION",1956,"https://doi.org/10.1073/pnas.42.7.409",1],[2,-0.107,0.3432,"A lower bound for the critical probability in a certain percolation process",1960,"https://doi.org/10.1017/s0305004100034241",5],[2,-0.6277,-0.4977,"Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces",2006,"https://doi.org/10.1215/s0012-7094-06-13415-4",1],[2,0.3981,0.5344,"The primes contain arbitrarily long arithmetic progressions",2008,"https://doi.org/10.4007/annals.2008.167.481",2],[2,-0.6401,-0.1933,"Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups",2003,"https://doi.org/10.1016/s0040-9383(03)00029-6",5],[2,0.0206,-0.7425,"p-adic Interpolation of Real Analytic Eisenstein Series",1976,"https://doi.org/10.2307/1970966",1],[2,0.4653,-0.6263,"Poincaré invariants are Seiberg–Witten invariants",2013,"https://doi.org/10.2140/gt.2013.17.1149",1],[2,0.428,-0.4707,"Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra",2011,"https://doi.org/10.1007/s10208-011-9106-4",5],[2,-0.16,-0.7055,"On the validity of the Boltzmann equation for short range potentials",2014,"https://doi.org/10.1142/s0129055x14500019",1],[2,-0.8326,-0.0173,"The strong Novikov conjecture for low degree cohomology",2008,"https://doi.org/10.1007/s10711-008-9266-9",1],[2,0.1808,-0.8231,"Rigidity of measures—The high entropy case and non-commuting foliations",2005,"https://doi.org/10.1007/bf02775436",1],[2,0.6477,-0.1141,"Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums",2008,"https://doi.org/10.1109/focs.2008.79",2],[2,-0.489,-0.5681,"The Min-Max theory and the Willmore conjecture",2014,"https://doi.org/10.4007/annals.2014.179.2.6",1],[2,-0.7263,0.0865,"Conformal Invariance for a Class of Scale Invariant Theories in Four Dimensions",2015,"https://arxiv.org/abs/1505.02127",1],[2,0.1933,-0.794,"Large character sums: Pretentious characters and the Pólya-Vinogradov theorem",2006,"https://doi.org/10.1090/s0894-0347-06-00536-4",1],[2,-0.2411,0.5872,"Liouville quantum gravity and KPZ",2010,"https://doi.org/10.1007/s00222-010-0308-1",3],[2,-0.3902,0.6402,"From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities",2000,"https://doi.org/10.1007/pl00001645",1],[2,-0.5845,-0.4085,"Grothendieck’s Theorem, past and present",2011,"https://doi.org/10.1090/s0273-0979-2011-01348-9",1],[2,-0.7724,0.2323,"Constructions of Mutually Unbiased Bases",2004,"https://doi.org/10.1007/978-3-540-24633-6_10",1],[2,-0.6949,0.2271,"Positive Definite Functions and Operator Inequalities",2000,"https://doi.org/10.1112/s0024609399006797",1],[2,-0.2761,0.6674,"A Renormalisation Group Method. V. A Single Renormalisation Group Step",2015,"https://doi.org/10.1007/s10955-014-1167-8",1],[2,-0.3734,0.5497,"Asymptotic direction in random walks in random environment revisited",2010,"https://doi.org/10.1214/09-bjps028",2],[2,0.2719,0.7632,"The Arc‐Weighted Version of the Second Neighborhood Conjecture",2014,"https://doi.org/10.1002/jgt.21800",1],[2,0.5879,-0.5241,"On (-P P)-constant deformations of Gorenstein surface singularities",2004,"https://doi.org/10.1007/s00014-003-0791-8",1],[2,-0.2995,0.7073,"Critical percolation exploration path and SLE6: a proof of convergence",2007,"https://doi.org/10.1007/s00440-006-0049-7",1],[2,0.3819,-0.505,"Towards the second main theorem on complements",2008,"https://doi.org/10.1090/s1056-3911-08-00498-0",3],[2,-0.4041,0.623,"Group-invariant Percolation on Graphs",1999,"https://doi.org/10.1007/s000390050080",1],[2,0.0301,-0.7461,"Galois representations arising from some compact Shimura varieties",2011,"https://doi.org/10.4007/annals.2011.173.3.9",1],[2,-0.6778,0.4046,"Large Scale Geometry of Certain Solvable Groups",2010,"https://doi.org/10.1007/s00039-010-0046-y",1],[2,0.6455,-0.4807,"Gromov-Witten classes, quantum cohomology, and enumerative geometry",1994,"https://doi.org/10.1007/bf02101490",1],[2,0.2621,0.6044,"The Ramsey number R(3, t) has order of magnitude t2/log t",1995,"https://doi.org/10.1002/rsa.3240070302",2],[2,0.4012,0.3303,"Geometric Algorithms and Combinatorial Optimization",1988,"https://doi.org/10.1007/978-3-642-97881-4",2],[2,-0.0218,0.5067,"Trees and Matchings",1999,"https://doi.org/10.37236/1503",2],[2,0.6418,-0.0788,"A Minimum Problem for the Epstein Zeta-Function",1953,"https://doi.org/10.1017/s2040618500035668",3],[2,-0.4577,0.4,"Stability of the Absolutely Continuous Spectrum of Random Schrödinger Operators on Tree Graphs",2005,"https://doi.org/10.1007/s00440-005-0486-8",2],[2,-0.5703,-0.4415,"Geometric Aspects of the Daugavet Property",2000,"https://doi.org/10.1006/jfan.2000.3626",1],[2,0.0461,-0.6277,"The André–Oort conjecture for the moduli space of abelian surfaces",2012,"https://doi.org/10.1112/s0010437x12000589",2],[2,0.5888,-0.2849,"The proof of the l^2 Decoupling Conjecture",2015,"https://doi.org/10.4007/annals.2015.182.1.9",5],[2,-0.1802,-0.6222,"A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations",1956,"https://doi.org/10.1002/cpa.3160090407",2],[2,-0.2108,0.6079,"Coherent states for arbitrary Lie group",1972,"https://doi.org/10.1007/bf01645091",2],[2,-0.7022,-0.3352,"Compact negatively curved manifolds (of dim [unk] 3,4) are topologically rigid",1989,"https://doi.org/10.1073/pnas.86.10.3461",1],[2,0.3513,0.5508,"Crossing Numbers and Hard Erdős Problems in Discrete Geometry",1997,"https://doi.org/10.1017/s0963548397002976",2],[2,0.3944,0.1127,"On the Erdős distinct distances problem in the plane",2014,"https://doi.org/10.4007/annals.2015.181.1.2",4],[2,0.4504,0.5929,"On Roth's theorem on progressions",2011,"https://doi.org/10.4007/annals.2011.174.1.20",1],[2,-0.0413,0.8456,"On representations of Clifford algebras of Ternary cubic forms",2012,"https://doi.org/10.1090/conm/562/11132",1],[2,-0.3775,0.6349,"A sequence of approximated solutions to the S-K model for spin glasses",1980,"https://doi.org/10.1088/0305-4470/13/4/009",1],[2,-0.8416,-0.0278,"Abelian Girth and Girth",2015,"https://arxiv.org/abs/1511.03678",1],[2,-0.7311,0.1197,"Elementary gates for quantum computation",1995,"https://doi.org/10.1103/physreva.52.3457",1],[2,0.1387,-0.625,"Invariant measures and the set of exceptions to Littlewood’s conjecture",2006,"https://doi.org/10.4007/annals.2006.164.513",3],[2,-0.8212,-0.0206,"Subgroups of Word Hyperbolic Groups in Dimension 2",1996,"https://doi.org/10.1112/jlms/54.2.261",1],[2,-0.7378,0.2336,"The Entropy Power Inequality for Quantum Systems",2014,"https://doi.org/10.1109/tit.2014.2298436",1],[2,0.4268,-0.4837,"Modules de Hodge Polarisables",1988,"https://doi.org/10.2977/prims/1195173930",4],[2,0.1294,-0.7517,"An upper bound on Jacobsthal’s function",2014,"https://doi.org/10.1090/s0025-5718-2014-02896-2",1],[2,0.596,-0.2936,"Bounds on Oscillatory Integral Operators Based on Multilinear Estimates",2011,"https://doi.org/10.1007/s00039-011-0140-9",6],[2,-0.591,-0.638,"Volumes of balls in large Riemannian manifolds",2010,"https://doi.org/10.4007/annals.2011.173.1.2",1],[2,-0.1498,-0.8509,"On De Giorgi's conjecture in dimension N≥9",2011,"https://doi.org/10.4007/annals.2011.174.3.3",1],[2,-0.286,-0.5999,"Symplectic fixed points and holomorphic spheres",1989,"https://doi.org/10.1007/bf01260388",5],[2,0.4711,-0.6699,"Addendum to: Hodge Classes on Self-Products of a Variety with an Automorphism",1998,"https://doi.org/10.1023/a:1000566205021",1],[2,0.3766,-0.4681,"On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I",1978,"https://doi.org/10.1002/cpa.3160310304",13],[2,0.6404,-0.1051,"On the geometry of graphs with a forbidden minor",2009,"https://doi.org/10.1145/1536414.1536450",2],[2,-0.2999,0.771,"Robust reconstruction on trees is determined by the second eigenvalue",2004,"https://doi.org/10.1214/009117904000000153",1],[2,-0.2006,0.6224,"The isotropicO(3) model and the Wolff representation",1998,"https://doi.org/10.1088/0305-4470/31/13/002",2],[2,0.1607,-0.7979,"Prime numbers in logarithmic intervals",2009,"https://doi.org/10.1090/s0002-9947-09-05009-0",1],[2,-0.8172,0.2565,"Quantum Broadcast Channels",2011,"https://doi.org/10.1109/tit.2011.2165811",1],[2,0.6249,0.137,"The chirp z-transform algorithm",1969,"https://doi.org/10.1109/tau.1969.1162034",2],[2,0.6348,0.5422,"The Existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles",2003,"https://doi.org/10.1007/s00222-002-0244-9",1],[2,-0.243,0.6892,"Quasisymmetric (k, l)-Hook Schur Functions",2018,"https://doi.org/10.1007/s00026-018-0376-2",1],[2,-0.6044,-0.2152,"On the formal group laws of unoriented and complex cobordism theory",1969,"https://doi.org/10.1090/s0002-9904-1969-12401-8",4],[2,-0.3514,0.5566,"Percolation Beyond $Z^d$, Many Questions And a Few Answers",1996,"https://doi.org/10.1214/ecp.v1-978",3],[2,0.0369,-0.8018,"On the units of algebraic number fields",1967,"https://doi.org/10.1112/s0025579300003703",1],[2,0.2364,0.7901,"Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders",2016,"https://doi.org/10.1007/s00039-016-0362-y",1],[2,0.7081,0.0518,"Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph",2008,"https://doi.org/10.1109/focs.2008.51",1],[2,-0.7232,0.1803,"Separability criterion and inseparable mixed states with positive partial transposition",1997,"https://doi.org/10.1016/s0375-9601(97)00416-7",1],[2,0.1891,0.7009,"The influence of variables on Boolean functions",1988,"https://doi.org/10.1109/sfcs.1988.21923",1],[2,-0.4258,-0.4892,"Regularity of area minimizing currents II: center manifold",2016,"https://doi.org/10.4007/annals.2016.183.2.2",2],[2,-0.629,0.2202,"Global Structure of the Kerr Family of Gravitational Fields",1968,"https://doi.org/10.1103/physrev.174.1559",3],[2,-0.6073,-0.2883,"The Borel Conjecture for hyperbolic and CAT(0)-groups",2012,"https://doi.org/10.4007/annals.2012.175.2.5",2],[2,-0.4588,0.7072,"Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness",1999,"https://doi.org/10.1007/978-1-4612-2168-5_4",1],[2,-0.4357,-0.6622,"The fundamental equations of a submersion.",1966,"https://doi.org/10.1307/mmj/1028999604",1],[2,0.1334,0.7135,"Ramsey numbers for cycles in graphs",1973,"https://doi.org/10.1016/s0095-8956(73)80005-x",1],[2,-0.8105,0.018,"Z -stability and infinite tensor powers of C∗-algebras",2008,"https://doi.org/10.1016/j.aim.2008.07.002",1],[2,0.697,0.0649,"On the Hardness of Approximating the Chromatic Number",2000,"https://doi.org/10.1007/s004930070013",1],[2,-0.216,0.0939,"Simple proofs of some results of Reshetnyak",2010,"https://doi.org/10.1090/s0002-9939-2010-10593-2",4],[2,-0.6359,-0.1852,"Bousfield localization functors and Hopkins’ chromatic splitting conjecture",1995,"https://doi.org/10.1090/conm/181/02036",5],[2,-0.3909,0.6088,"Percolation in the hyperbolic plane",2000,"https://doi.org/10.1090/s0894-0347-00-00362-3",1],[2,-0.0752,0.6602,"Tate duality and transfer in Hochschild cohomology",2013,"https://doi.org/10.1016/j.jpaa.2013.04.004",2],[2,-0.317,0.763,"Discrete complex analysis on isoradial graphs",2011,"https://doi.org/10.1016/j.aim.2011.06.025",1],[2,0.2148,0.7606,"On Deriving the Inverse of a Sum of Matrices",1981,"https://doi.org/10.1137/1023004",1],[2,-0.2306,0.6032,"A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees",2009,"https://doi.org/10.1214/ecp.v14-1516",2],[2,-0.1205,-0.7583,"A Counterexample to the \"Hot Spots\" Conjecture",1999,"https://doi.org/10.2307/121027",1],[2,-0.1819,-0.6214,"Invariant distributions, Beurling transforms and tensor tomography in higher dimensions",2015,"https://doi.org/10.1007/s00208-015-1169-0",2],[2,-0.6214,-0.228,"Constructing formal groups III: applications to complex cobordism and Brown-Peterson cohomology",1977,"https://doi.org/10.1016/0022-4049(77)90026-3",2],[2,-0.8518,0.1695,"Unique Games with Entangled Provers Are Easy",2010,"https://doi.org/10.1137/090772885",1],[2,0.8061,-0.0257,"Ahlfors Q -regular spaces with arbitrary Q > 1 admitting weak Poincaré inequality",2000,"https://doi.org/10.1007/s000390050003",1],[2,0.7956,-0.0754,"Sandwiched Rényi divergence satisfies data processing inequality",2013,"https://doi.org/10.1063/1.4838855",1],[2,0.0416,-0.2939,"Logical Reversibility of Computation",1973,"https://doi.org/10.1147/rd.176.0525",13],[2,-0.8007,-0.2571,"ESPACES DE BANACH DE DIMENSION FINIE",2002,"https://doi.org/10.1017/s1474748002000099",1],[2,-0.5453,0.3802,"A boundary criterion for cubulation",2012,"https://doi.org/10.1353/ajm.2012.0020",2],[2,0.1566,-0.7943,"Additive decompositions of sets with restricted prime factors",2014,"https://doi.org/10.1090/s0002-9947-2014-06384-8",1],[2,0.2972,-0.7513,"LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. D’APRÈS HARISH-CHANDRA",2003,"https://doi.org/10.1017/s1474748003000082",1],[2,-0.718,-0.4247,"Quillen’s plus construction and the D(2) problem",2009,"https://doi.org/10.2140/agt.2009.9.1399",1],[2,-0.6639,-0.0329,"A class of superrigid group von~Neumann algebras",2013,"https://doi.org/10.4007/annals.2013.178.1.4",2],[2,-0.6395,-0.4516,"Duality of metric entropy",2004,"https://doi.org/10.4007/annals.2004.159.1313",1],[2,-0.3409,0.6917,"The asymptotic k-SAT threshold",2015,"https://doi.org/10.1016/j.aim.2015.11.007",1],[2,-0.6075,0.2242,"Proof of the strong subadditivity of quantum-mechanical entropy",1973,"https://doi.org/10.1063/1.1666274",4],[2,-0.7579,0.2502,"Sufficient subalgebras and the relative entropy of states of a von Neumann algebra",1986,"https://doi.org/10.1007/bf01212345",1],[2,-0.6353,0.2241,"A new proof of the positive energy theorem",1981,"https://doi.org/10.1007/bf01208277",2],[2,0.1572,-0.7342,"Small gaps between primes",2014,"https://doi.org/10.4007/annals.2015.181.1.7",1],[2,-0.1283,-0.6344,"Diffeomorphic approximation of $W^{1,1}$ planar Sobolev homeomorphisms",2018,"https://doi.org/10.4171/jems/774",2],[2,0.8369,0.0924,"Approximating the Permanent",1989,"https://doi.org/10.1137/0218077",1],[2,-0.1442,-0.7197,"On the differentiability of Lipschitz functions with respect to measures in the Euclidean space",2016,"https://doi.org/10.1007/s00039-016-0354-y",1],[2,0.6725,0.3366,"Agnostically Learning Halfspaces",2008,"https://doi.org/10.1137/060649057",1],[2,0.4021,0.6121,"A counterexample to Borsuk’s conjecture",1993,"https://doi.org/10.1090/s0273-0979-1993-00398-7",1],[2,-0.6492,0.0207,"The cone of lower semicontinuous traces on a C*-algebra",2011,"https://doi.org/10.1353/ajm.2011.0027",4],[2,-0.2314,0.6166,"Effect of random defects on the critical behaviour of Ising models",1974,"https://doi.org/10.1088/0022-3719/7/9/009",4],[2,-0.2174,0.6861,"From the mass gap at large N to the non-Borel-summability in O(3) and O(4) sigma models",2010,"https://doi.org/10.1103/physrevd.81.105008",1],[2,0.0493,-0.7533,"Modularity of Fibres in Rigid Local Systems",1999,"https://doi.org/10.2307/121082",1],[2,-0.0548,-0.7372,"An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions",2009,"https://doi.org/10.1007/s00526-009-0267-9",1],[2,-0.828,-0.0281,"Peetre-Slovák's theorem revisited",2014,"https://arxiv.org/abs/1411.7499",1],[2,-0.6813,0.1722,"Secret key agreement by public discussion from common information",1993,"https://doi.org/10.1109/18.256484",1],[2,0.2735,-0.7777,"Rational approximations to π and some other numbers",1993,"https://doi.org/10.4064/aa-63-4-335-349",1],[2,-0.2417,0.6088,"Diffusion in planar Liouville quantum gravity",2015,"https://doi.org/10.1214/14-aihp605",3],[2,0.2727,-0.5758,"Hodge classes on abelian varieties of low dimension",1999,"https://doi.org/10.1007/s002080050333",3],[2,0.5802,-0.5217,"LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS",2003,"https://doi.org/10.1112/s0024611502013874",1],[2,0.2574,-0.7845,"Mixed Tate motives over Z",2012,"https://doi.org/10.4007/annals.2012.175.2.10",1],[2,-0.6187,0.2111,"“Golden Oldie”: Gravitational Collapse: The Role of General Relativity",2002,"https://doi.org/10.1023/a:1016578408204",3],[2,0.0319,-0.7318,"Banach space representations and Iwasawa theory",2002,"https://doi.org/10.1007/bf02784538",1],[2,-0.3234,0.6779,"Cauchy biorthogonal polynomials",2009,"https://doi.org/10.1016/j.jat.2009.09.008",1],[2,-0.1246,-0.6376,"The orientation-preserving diffeomorphism group of ${\\mathbb{S}^{2}}$ deforms to SO(3) smoothly",2011,"https://doi.org/10.1007/s00031-011-9130-0",2],[2,-0.0303,0.3658,"User-Friendly Tail Bounds for Sums of Random Matrices",2011,"https://doi.org/10.1007/s10208-011-9099-z",3],[2,0.0603,-0.6564,"Congruence Properties of Zariski-Dense Subgroups I",1984,"https://doi.org/10.1112/plms/s3-48.3.514",2],[2,0.0145,-0.6521,"Ranks of twists of elliptic curves and Hilbert’s tenth problem",2010,"https://doi.org/10.1007/s00222-010-0252-0",2],[2,-0.8033,0.2497,"Monotone Riemannian metrics and relative entropy on noncommutative probability spaces",1999,"https://doi.org/10.1063/1.533053",1],[2,0.6967,-0.5068,"Holomorphic Flexibility Properties of Compact Complex Surfaces",2013,"https://doi.org/10.1093/imrn/rnt044",1],[2,-0.2968,0.5868,"On the concentration of the number of solutions of random satisfiability formulas",2013,"https://doi.org/10.1002/rsa.20501",2],[2,0.3762,-0.5331,"Closedness of the Douady Spaces of Compact Kähler Spaces",1978,"https://doi.org/10.2977/prims/1195189279",4],[2,-0.644,0.4283,"Amenability and Ramsey theory",2013,"https://doi.org/10.4064/fm220-3-6",1],[2,0.6471,-0.113,"An O (log k ) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm",1998,"https://doi.org/10.1137/s0097539794285983",2],[2,-0.8048,0.2047,"An information statistics approach to data stream and communication complexity",2004,"https://doi.org/10.1016/j.jcss.2003.11.006",1],[2,-0.6001,0.236,"The Second Order Upper Bound for the Ground Energy of a Bose Gas",2009,"https://doi.org/10.1007/s10955-009-9792-3",2],[2,0.8431,-0.1068,"Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library",2005,"https://doi.org/10.1007/s11155-005-6891-y",1],[2,-0.4269,0.6546,"On non-uniqueness of percolation on nonamenable Cayley graphs",2000,"https://doi.org/10.1016/s0764-4442(00)00211-1",1],[2,0.0961,-0.6473,"On the large sieve",1965,"https://doi.org/10.1112/s0025579300005313",3],[2,-0.0472,0.7258,"Convexity and Commuting Hamiltonians",1982,"https://doi.org/10.1112/blms/14.1.1",1],[2,-0.7166,0.0099,"Non-simple purely infinite C∗-algebras: the Hausdorff case",2003,"https://doi.org/10.1016/j.jfa.2003.06.008",1],[2,0.1319,0.7041,"Asymptotic packing via a branching process",1995,"https://doi.org/10.1002/rsa.3240070206",1],[2,0.43,-0.4925,"Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains",2006,"https://doi.org/10.5802/aif.2223",2],[2,-0.5085,-0.3996,"A separable somewhat reflexive Banach space with nonseparable dual",1974,"https://doi.org/10.1090/s0002-9904-1974-13580-9",6],[2,0.7133,-0.476,"Algebraic Barth-Lefschetz theorems",1996,"https://doi.org/10.1017/s0027763000005626",1],[2,-0.2241,-0.7647,"Inverse Boundary Problems for Systems in Two Dimensions",2013,"https://doi.org/10.1007/s00023-012-0229-1",1],[2,-0.2574,-0.589,"Nodal Sets for Eigenfunctions of the Laplacian On Surfaces",1990,"https://doi.org/10.1090/s0894-0347-1990-1035413-2",2],[2,0.4877,0.6452,"On Certain Sets of Integers",1953,"https://doi.org/10.1112/jlms/s1-28.1.104",1],[2,0.3091,0.7185,"On the Number of Crossings in a Complete Graph",1963,"https://doi.org/10.1017/s0013091500025645",1],[2,0.4681,-0.4386,"Rational Curves on Hyperkähler Manifolds",2015,"https://doi.org/10.1093/imrn/rnv133",2],[2,-0.1834,0.766,"Zero-free regions for multivariate Tutte polynomials (alias Potts-model partition functions) of graphs and matroids",2009,"https://doi.org/10.1016/j.jctb.2009.03.002",1],[2,-0.1661,-0.0125,"A constructive proof of the general lovász local lemma",2010,"https://doi.org/10.1145/1667053.1667060",4],[2,-0.7818,0.1527,"Quantum algorithms revisited",1998,"https://doi.org/10.1098/rspa.1998.0164",1],[2,-0.7209,-0.0293,"Irrational $l^2$ invariants arising from the lamplighter group",2016,"https://doi.org/10.4171/ggd/366",1],[2,0.6244,-0.2127,"Strong variational and jump inequalities in harmonic analysis",2008,"https://doi.org/10.1090/s0002-9947-08-04538-8",2],[2,0.4865,0.7021,"XV. On systems of linear indeterminate equations and congruences",1861,"https://doi.org/10.1098/rstl.1861.0016",1],[2,-0.2818,-0.7528,"Uniqueness of compact tangent flows in Mean Curvature Flow",2012,"https://doi.org/10.1515/crelle-2012-0070",1],[2,0.5495,0.4598,"Arithmetic properties of Bernoulli convolutions",1962,"https://doi.org/10.1090/s0002-9947-1962-0137961-5",1],[2,-0.2847,0.7536,"Factors of IID on Trees",2016,"https://doi.org/10.1017/s096354831600033x",1],[2,0.3895,-0.5045,"Stability conditions on triangulated categories",2007,"https://doi.org/10.4007/annals.2007.166.317",2],[2,-0.7568,-0.0577,"Perturbations of Type I Von Neumann Algebras",1975,"https://doi.org/10.1112/jlms/s2-9.3.395",1],[2,0.2579,-0.6793,"Integral transforms and Drinfeld centers in derived algebraic geometry",2010,"https://doi.org/10.1090/s0894-0347-10-00669-7",1],[2,-0.5822,-0.5112,"Recurrence of Distributional Limits of Finite Planar Graphs",2001,"https://doi.org/10.1214/ejp.v6-96",1],[2,-0.188,0.6788,"Translation-Invariance of Two-Dimensional Gibbsian Point Processes",2007,"https://doi.org/10.1007/s00220-007-0274-7",1],[2,-0.6457,0.4672,"Recognizing constant curvature discrete groups in dimension 3",1998,"https://doi.org/10.1090/s0002-9947-98-02107-2",1],[2,0.595,-0.2991,"An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3",2000,"https://doi.org/10.2307/2661389",2],[2,0.647,0.0404,"Optimal algorithms and inapproximability results for every CSP?",2008,"https://doi.org/10.1145/1374376.1374414",2],[2,-0.453,0.4781,"Describing Graphs: A First-Order Approach to Graph Canonization",1990,"https://doi.org/10.1007/978-1-4612-4478-3_5",2],[2,0.6109,-0.481,"A remark on the nonrationality problem for generic cubic fourfolds",2008,"https://doi.org/10.1134/s0001434608010070",1],[2,0.6437,0.0333,"Free Bits, PCPs, and Nonapproximability---Towards Tight Results",1998,"https://doi.org/10.1137/s0097539796302531",4],[2,-0.6336,0.1753,"Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States",1983,"https://doi.org/10.1103/physrevlett.51.605",2],[2,0.7395,0.1534,"A group-theoretic approach to fast matrix multiplication",2004,"https://doi.org/10.1109/sfcs.2003.1238217",1],[2,0.7867,-0.0784,"Mutual Information and Minimum Mean-Square Error in Gaussian Channels",2005,"https://doi.org/10.1109/tit.2005.844072",1],[2,-0.7229,-0.2611,"Constructing formal groups I: The local one dimensional case",1977,"https://doi.org/10.1016/0022-4049(77)90061-5",1],[2,-0.6395,-0.3206,"Cosmetic surgeries on genus one knots",2006,"https://doi.org/10.2140/agt.2006.6.1491",1],[2,0.1998,-0.7459,"Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing",2008,"https://doi.org/10.1016/j.aim.2008.07.008",1],[2,-0.8285,-0.2504,"Operations and co-operations in Morava $E$-theory",2004,"https://doi.org/10.4310/hha.2004.v6.n1.a13",1],[2,-0.5855,0.5114,"Representations of polygons of finite groups",2005,"https://doi.org/10.2140/gt.2005.9.1915",1],[2,-0.7488,0.1307,"Separations in query complexity using cheat sheets",2016,"https://doi.org/10.1145/2897518.2897644",1],[2,-0.7006,0.1231,"Improved direct product theorems for randomized query complexity",2012,"https://doi.org/10.1007/s00037-012-0043-7",1],[2,0.4854,-0.6921,"The Mukai pairing, I: a categorical approach",2007,"https://arxiv.org/abs/0707.2052",1],[2,-0.6999,0.4168,"Solvable Lie Algebras, Lie Groups and Polynomial Structures",2000,"https://doi.org/10.1023/a:1001738932743",1],[2,0.6415,-0.5424,"Fano contact manifolds and nilpotent orbits",1998,"https://doi.org/10.1007/s000140050069",1],[2,0.1128,-0.8248,"The Elliott–Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture",2015,"https://doi.org/10.2140/ant.2015.9.1005",1],[2,0.4723,0.0439,"On self-similar sets with overlaps and inverse theorems for entropy",2014,"https://doi.org/10.4007/annals.2014.180.2.7",4],[2,-0.6217,0.1675,"Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State",1983,"https://doi.org/10.1103/physrevlett.50.1153",2],[2,0.7663,0.249,"A Polylogarithmic-Competitive Algorithm for the k -Server Problem",2015,"https://doi.org/10.1145/2783434",1],[2,-0.4964,-0.4226,"The Nonlinear Geometry of Banach Spaces",2008,"https://doi.org/10.5209/rev_rema.2008.v21.n1.16426",2],[2,0.4653,0.7305,"Incidences in Three Dimensions and Distinct Distances in the Plane",2011,"https://doi.org/10.1017/s0963548311000137",1],[2,0.0368,-0.8603,"CM newforms with rational coefficients",2009,"https://doi.org/10.1007/s11139-008-9147-8",1],[2,0.2479,-0.6157,"On Finite Homomorphic Images of the Multiplicative Group of a Division Algebra",1999,"https://doi.org/10.2307/121024",2],[2,-0.1587,0.4383,"Thin Shell Implies Spectral Gap Up to Polylog via a Stochastic Localization Scheme",2013,"https://doi.org/10.1007/s00039-013-0214-y",8],[2,0.2421,-0.6001,"Un analogue global du cône nilpotent",1988,"https://doi.org/10.1215/s0012-7094-88-05729-8",2],[2,-0.1679,0.7028,"Critical behavior of the two-dimensional Ising model with random bonds",1994,"https://doi.org/10.1016/0370-1573(94)90086-8",1],[2,-0.0881,0.8581,"When are torsionless modules projective?",2008,"https://doi.org/10.1016/j.jalgebra.2008.04.027",1],[2,-0.6552,-0.3355,"An introduction to the abelian Reidemeister torsion of three-dimensional manifolds",2011,"https://doi.org/10.5802/ambp.294",1],[2,0.7127,-0.3607,"Quasiextremals for a Radon-like transform",2011,"https://arxiv.org/abs/1106.0722",1],[2,0.3042,-0.7717,"Affine Hecke algebras and generalized standard Young tableaux",2003,"https://doi.org/10.1016/s0021-8693(02)00663-4",1],[2,0.2269,-0.7425,"Logarithmic Potential Theory with Applications to Approximation Theory",2010,"https://arxiv.org/abs/1010.3760",1],[2,-0.6313,-0.1897,"The homotopy groups of SE(2) at p⩾5 revisited",2012,"https://doi.org/10.1016/j.aim.2012.02.023",3],[2,0.5751,-0.572,"Mixed Hodge polynomials of character varieties",2008,"https://doi.org/10.1007/s00222-008-0142-x",1],[2,0.7686,0.1522,"Faster Algorithms for Rectangular Matrix Multiplication",2012,"https://doi.org/10.1109/focs.2012.80",1],[2,0.0472,-0.6455,"EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE",2002,"https://doi.org/10.1112/s0024610701002861",4],[2,-0.2909,0.7156,"Asymptotics of trees with a prescribed degree sequence and applications",2012,"https://doi.org/10.1002/rsa.20463",1],[2,-0.3081,0.5895,"Replica Bounds for Optimization Problems and Diluted Spin Systems",2003,"https://doi.org/10.1023/a:1022885828956",4],[2,0.7848,0.0388,"On the Unique Games Conjecture (Invited Survey)",2010,"https://doi.org/10.1109/ccc.2010.19",1],[2,-0.1807,-0.8271,"Optimal approximations by piecewise smooth functions and associated variational problems",1989,"https://doi.org/10.1002/cpa.3160420503",1],[2,0.4669,0.6016,"A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.",2016,"https://doi.org/10.1112/jlms/jdw010",1],[2,0.7034,0.2211,"Probabilistic approximation of metric spaces and its algorithmic applications",2002,"https://doi.org/10.1109/sfcs.1996.548477",1],[2,0.6389,0.1305,"A combinatorial strongly subexponential strategy improvement algorithm for mean payoff games",2006,"https://doi.org/10.1016/j.dam.2006.04.029",2],[2,0.6974,-0.1484,"Intersection Properties of Balls and Subspaces in Banach Spaces",1977,"https://doi.org/10.1090/s0002-9947-1977-0430747-4",1],[2,0.2345,-0.7715,"On a linear form for Catalan's constant",2008,"https://arxiv.org/abs/0810.1927",1],[2,-0.6889,0.1688,"Universally Composable Privacy Amplification Against Quantum Adversaries",2005,"https://doi.org/10.1007/978-3-540-30576-7_22",1],[2,-0.0002,0.4523,"Optimal Rearrangeable Multistage Connecting Networks",1964,"https://doi.org/10.1002/j.1538-7305.1964.tb04103.x",4],[2,0.6505,-0.0163,"Sparsest cut on bounded treewidth graphs",2013,"https://doi.org/10.1145/2488608.2488644",2],[2,0.5526,0.5608,"Boundedness of trajectories for weakly reversible, single linkage class reaction systems",2011,"https://doi.org/10.1007/s10910-011-9886-4",1],[2,0.7407,0.0676,"A New Multilayered PCP and the Hardness of Hypergraph Vertex Cover",2005,"https://doi.org/10.1137/s0097539704443057",1],[2,0.8266,0.23,"A note on the determinant and permanent problem",1990,"https://doi.org/10.1016/0890-5401(90)90036-h",1],[2,-0.271,-0.7108,"Minimality via Second Variation for a Nonlocal Isoperimetric Problem",2013,"https://doi.org/10.1007/s00220-013-1733-y",1],[2,0.5884,-0.3139,"Local entropy averages and projections of fractal measures",2012,"https://doi.org/10.4007/annals.2012.175.3.1",4],[2,-0.6036,-0.226,"The cohomology of restricted Lie algebras and of Hopf algebras",1966,"https://doi.org/10.1016/0021-8693(66)90009-3",2],[2,-0.1234,0.7272,"Permutation groups of prime degree, a quick proof of Burnside’s theorem",2005,"https://doi.org/10.1007/s00013-005-1421-z",1],[2,0.1364,-0.6375,"Distribution of periodic torus orbits and Duke's theorem for cubic fields",2011,"https://doi.org/10.4007/annals.2011.173.2.5",3],[2,-0.7644,0.2476,"Real-Space Renormalization Yields Finite Correlations",2010,"https://doi.org/10.1103/physrevlett.105.010502",1],[2,-0.7488,0.1824,"Completely positive linear maps on complex matrices",1975,"https://doi.org/10.1016/0024-3795(75)90075-0",1],[2,0.8166,-0.0205,"A Nonlinear Approach to Dimension Reduction",2015,"https://doi.org/10.1007/s00454-015-9707-9",1],[2,-0.6661,0.5442,"Presentations for subgroups of Artin groups",1999,"https://doi.org/10.1090/s0002-9939-99-04873-x",1],[2,0.4492,-0.5759,"Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles",1985,"https://doi.org/10.1112/plms/s3-50.1.1",1],[2,0.576,0.3321,"On finite monoids having only trivial subgroups",1965,"https://doi.org/10.1016/s0019-9958(65)90108-7",3],[2,0.0876,-0.8476,"Power‐free values of polynomials",2015,"https://doi.org/10.1112/blms/bdu116",1],[2,0.7336,0.0925,"Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor",1999,"https://doi.org/10.1002/(sici)1098-2418(1999010)14:1<29::aid-rsa2>3.0.co;2-x",1],[2,-0.6867,-0.2007,"Finite and p -adic Polylogarithms",2002,"https://doi.org/10.1023/a:1013727116183",1],[2,-0.1943,0.7771,"Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions",2001,"https://doi.org/10.1017/s0963548300004612",1],[2,0.7435,0.0391,"Spectral Algorithms for Unique Games",2011,"https://doi.org/10.1007/s00037-011-0011-7",1],[2,-0.8577,0.1203,"Twisted Sectors for Tensor Product Vertex Operator Algebras Associated to Permutation Groups",2002,"https://doi.org/10.1007/s002200200633",1],[2,-0.4601,0.4814,"Choiceless polynomial time",1999,"https://doi.org/10.1016/s0168-0072(99)00005-6",2],[2,0.7723,0.0557,"Hardness of Vertex Deletion and Project Scheduling",2013,"https://doi.org/10.4086/toc.2013.v009a024",1],[2,-0.7017,0.1032,"Multi-Interval Subfactors and Modularity¶of Representations in Conformal Field Theory",2001,"https://doi.org/10.1007/pl00005565",1],[2,-0.7845,0.0955,"The Aizenman-Sims-Starr and Guerras schemes for the SK model with multidimensional spins",2009,"https://doi.org/10.1214/ejp.v14-611",1],[2,-0.593,0.2573,"M theory as a matrix model: A conjecture",1997,"https://doi.org/10.1103/physrevd.55.5112",2],[2,-0.0486,0.7056,"Paths and Root Operators in Representation Theory",1995,"https://doi.org/10.2307/2118553",1],[2,0.6162,-0.5899,"Finite complex reflection groups",1976,"https://doi.org/10.24033/asens.1313",1],[2,-0.2174,0.7804,"Contour lines of the two-dimensional discrete Gaussian free field",2009,"https://doi.org/10.1007/s11511-009-0034-y",1],[2,-0.4391,0.6269,"Brownian occupation measures, compactness and large deviations",2016,"https://doi.org/10.1214/15-aop1065",1],[2,0.3604,-0.6251,"On existence of log minimal models and weak Zariski decompositions",2011,"https://doi.org/10.1007/s00208-011-0756-y",1],[2,-0.5758,0.4681,"Bestvina–Brady groups and the plus construction",1999,"https://doi.org/10.1017/s0305004199003928",1],[2,0.0629,0.8586,"DG quotients of DG categories",2003,"https://doi.org/10.1016/j.jalgebra.2003.05.001",1],[2,0.8237,0.19,"Additive complexity in directed computations",1982,"https://doi.org/10.1016/0304-3975(82)90014-7",1],[2,0.4494,-0.4956,"Curvature of vector bundles associated to holomorphic fibrations",2009,"https://doi.org/10.4007/annals.2009.169.531",8],[2,-0.6097,0.2688,"The supermembrane is unstable",1989,"https://doi.org/10.1016/0550-3213(89)90214-9",2],[2,-0.7821,-0.0403,"XXXVI. On the comparison of transcendents, with certain applications to the theory of definite integrals",1857,"https://doi.org/10.1098/rstl.1857.0037",1],[2,-0.2984,-0.6526,"The principle of symmetric criticality",1979,"https://doi.org/10.1007/bf01941322",1],[2,0.3457,0.6976,"A Note on Vertex List Colouring",2001,"https://doi.org/10.1017/s0963548301004758",1],[2,0.2552,-0.6733,"On the birational p -adic section conjecture",2010,"https://doi.org/10.1112/s0010437x09004436",1],[2,0.772,0.2352,"Graph Isomorphism, Color Refinement, and Compactness",2016,"https://doi.org/10.1007/s00037-016-0147-6",1],[2,-0.3094,0.5579,"A connection between the Ghirlanda–Guerra identities and ultrametricity",2010,"https://doi.org/10.1214/09-aop484",4],[2,-0.8321,-0.0058,"A simple, monotracial, stably projectionless C *‐algebra",2012,"https://doi.org/10.1112/jlms/jds049",1],[2,-0.0958,0.7625,"K-théorie bivariante pour les algèbres de Banach et conjecture de Baum-Connes",2002,"https://doi.org/10.1007/s002220200213",1],[2,0.5268,0.5103,"Convergence of Conze–Lesigne averages",2001,"https://doi.org/10.1017/s0143385701001249",1],[2,0.2096,-0.6309,"Reconstruction of Function Fields",2008,"https://doi.org/10.1007/s00039-008-0665-8",2],[2,0.583,-0.3171,"Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions",1954,"https://doi.org/10.1112/plms/s3-4.1.257",2],[2,0.5412,-0.3674,"Uniruled varieties with split tangent bundle",2007,"https://doi.org/10.1007/s00209-006-0072-5",2],[2,0.7442,0.1478,"Powers of tensors and fast matrix multiplication",2014,"https://doi.org/10.1145/2608628.2608664",1],[2,-0.0557,0.7637,"Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups",2009,"https://doi.org/10.1090/s1056-3911-09-00517-7",1],[2,0.6551,0.0395,"On the power of unique 2-prover 1-round games",2002,"https://doi.org/10.1145/509907.510017",4],[2,0.291,-0.8211,"On convergence of the Flint Hills series",2011,"https://arxiv.org/abs/1104.5100",1],[2,-0.5469,-0.588,"Lectures on the Ricci Flow",2006,"https://doi.org/10.1017/cbo9780511721465",1],[2,0.0269,-0.7491,"Non-vanishing of Hecke L-values modulo p",2012,"https://arxiv.org/abs/1208.4751",1],[2,-0.6936,0.5083,"Conformal dimension and Gromov hyperbolic groups with 2–sphere boundary",2005,"https://doi.org/10.2140/gt.2005.9.219",1],[2,-0.2931,0.7085,"Simply generated trees, conditioned Galton–Watson trees, random allocations and condensation",2012,"https://doi.org/10.1214/11-ps188",1],[2,-0.2801,0.6555,"Values of Brownian intersection exponents, II: Plane exponents",2001,"https://doi.org/10.1007/bf02392619",1],[2,-0.7054,0.4387,"Integral cohomology of rational projection method patterns",2013,"https://doi.org/10.2140/agt.2013.13.1661",1],[2,-0.2054,-0.7143,"The Calderón problem with partial data",2007,"https://doi.org/10.4007/annals.2007.165.567",1],[2,-0.6039,0.4511,"Non-amenable finitely presented torsion-by-cyclic groups",2003,"https://doi.org/10.1007/s10240-002-0006-7",1],[2,0.5597,0.5606,"Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables",2006,"https://doi.org/10.1016/j.physd.2005.12.007",1],[2,0.6464,-0.5063,"Quantum Riemann–Roch, Lefschetz and Serre",2007,"https://doi.org/10.4007/annals.2007.165.15",1],[2,-0.6036,0.4184,"The 6-strand braid group is CAT(0)",2016,"https://doi.org/10.1007/s10711-015-0138-9",1],[2,0.2528,0.5887,"Adjacent Crossings Do Matter",2012,"https://doi.org/10.7155/jgaa.00266",2],[2,-0.8093,-0.2787,"Local duality in algebra and topology",2018,"https://doi.org/10.1016/j.aim.2018.07.017",1],[2,-0.027,0.6403,"Poset embeddings of Hilbert functions and Betti numbers",2014,"https://doi.org/10.1016/j.jalgebra.2014.04.007",2],[2,0.2303,-0.604,"Chtoucas de Drinfeld et correspondance de Langlands",2002,"https://doi.org/10.1007/s002220100174",2],[2,-0.2577,0.7465,"The square lattice shuffle, correction",2015,"https://doi.org/10.1002/rsa.20620",1],[2,0.4909,-0.4237,"Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple",1987,"https://doi.org/10.1090/s0002-9939-1987-0902538-0",2],[2,0.6316,0.2206,"Deterministic polynomial identity testing in non-commutative models",2005,"https://doi.org/10.1007/s00037-005-0188-8",3],[2,0.5685,-0.5431,"A survey of Torelli and monodromy results for holomorphic-symplectic varieties",2011,"https://doi.org/10.1007/978-3-642-20300-8_15",1],[2,0.7264,-0.1485,"The Entropy Per Coordinate of a Random Vector is Highly Constrained Under Convexity Conditions",2011,"https://doi.org/10.1109/tit.2011.2158475",1],[2,-0.6527,0.1157,"Quantum amplitude amplification and estimation",2002,"https://doi.org/10.1090/conm/305/05215",3],[2,-0.3839,-0.7608,"A diffeomorphism classification of manifolds which are like projective planes",2007,"https://doi.org/10.4310/jdg/1191860392",1],[2,-0.0828,0.8103,"COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS",2003,"https://doi.org/10.1017/s0017089502008959",1],[2,0.6388,-0.0549,"A note on coverings",1957,"https://doi.org/10.1112/s0025579300001030",2],[2,0.3173,-0.5831,"ACC for log canonical thresholds",2014,"https://doi.org/10.4007/annals.2014.180.2.3",4],[2,-0.3373,-0.7388,"Two-primary algebraic K-theory of pointed spaces",2002,"https://doi.org/10.1016/s0040-9383(01)00005-2",1],[2,-0.1958,0.7898,"Discrete holomorphicity and quantized affine algebras",2013,"https://doi.org/10.1088/1751-8113/46/26/265205",1],[2,0.3849,-0.7104,"Gromov-Witten theory of root Gerbes I: Structure of genus 0 moduli spaces",2015,"https://doi.org/10.4310/jdg/1418345536",1],[2,-0.5846,-0.6234,"A note on curvature and fundamental group",1968,"https://doi.org/10.4310/jdg/1214501132",1],[2,-0.8094,0.1437,"Quantum lower bounds by polynomials",2001,"https://doi.org/10.1145/502090.502097",1],[2,-0.621,0.2264,"The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality",2001,"https://doi.org/10.4310/jdg/1090349447",12],[2,0.6518,0.552,"Transition maps at non-resonant hyperbolic singularities are o-minimal",2009,"https://doi.org/10.1515/crelle.2009.081",1],[2,0.3611,-0.6099,"Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties",2015,"https://doi.org/10.1112/blms/bdv006",1],[2,0.2939,-0.4331,"Algorithms in Real Algebraic Geometry: A Survey",2014,"https://arxiv.org/abs/1409.1534",2],[2,-0.8003,0.1735,"Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem",2002,"https://doi.org/10.1109/tit.2002.802612",1],[2,-0.2186,0.6283,"Nonrandom Shuffling with Applications to the Game of Faro",1973,"https://doi.org/10.1080/01621459.1973.10481434",12],[2,-0.7322,-0.0792,"Free Araki-Woods factors and Connes’ bicentralizer problem",2009,"https://doi.org/10.1090/s0002-9939-09-09923-7",1],[2,-0.6891,-0.3604,"Some aspects of groups acting on finite posets",1982,"https://doi.org/10.1016/0097-3165(82)90017-6",1],[2,0.5796,-0.4785,"On Fano manifolds with Nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents",2002,"https://doi.org/10.1090/s0002-9947-02-02953-7",1],[2,0.7162,0.1896,"Approximating Bin Packing within O(log OPT · Log Log OPT) Bins",2013,"https://doi.org/10.1109/focs.2013.11",1],[2,0.648,-0.5171,"Torification and factorization of birational maps",2002,"https://doi.org/10.1090/s0894-0347-02-00396-x",1],[2,0.0277,-0.6524,"Potential automorphy and change of weight",2014,"https://doi.org/10.4007/annals.2014.179.2.3",2],[2,0.0988,-0.6474,"The distribution of Kummer sums at prime arguments.",1979,"https://doi.org/10.1515/crll.1979.310.111",2],[2,0.2895,0.7511,"Descents, Quasi-Symmetric Functions, Robinson-Schensted for Posets, and the Chromatic Symmetric Function",1999,"https://doi.org/10.1023/a:1018719315718",1],[2,0.2866,-0.6988,"On the conjugacy classes in the unitary, symplectic and orthogonal groups",1963,"https://doi.org/10.1017/s1446788700027622",1],[2,-0.5366,0.3788,"Intersections of conjugates of Magnus subgroups of one-relator groups",2008,"https://doi.org/10.2140/gtm.2008.14.135",2],[2,0.7857,0.0974,"Odd Minimum Cut-Sets and b -Matchings",1982,"https://doi.org/10.1287/moor.7.1.67",1],[2,-0.8004,0.201,"Entanglement Breaking Channels",2003,"https://doi.org/10.1142/s0129055x03001709",1],[2,0.5071,-0.3883,"The structure of 2D semi-simple field theories",2011,"https://doi.org/10.1007/s00222-011-0352-5",2],[2,0.0082,-0.751,"Semistable reduction and torsion subgroups of abelian varieties",1995,"https://doi.org/10.5802/aif.1459",1],[2,-0.2129,0.8006,"Residual Entropy of Square Ice",1967,"https://doi.org/10.1103/physrev.162.162",1],[2,-0.6518,-0.5635,"The uniform structure of Banach spaces",2011,"https://doi.org/10.1007/s00208-011-0743-3",1],[2,0.0787,-0.7283,"Power Free Values of Polynomials III",1980,"https://doi.org/10.1112/plms/s3-41.1.66",1],[2,0.2671,0.5918,"On Turán’s theorem for sparse graphs",1981,"https://doi.org/10.1007/bf02579451",2],[2,0.3825,-0.5136,"Mixed Hodge Modules",1990,"https://doi.org/10.2977/prims/1195171082",6],[2,0.2996,0.7548,"Cohomological Hall algebra of a symmetric quiver",2012,"https://doi.org/10.1112/s0010437x12000152",1],[2,-0.0946,0.7183,"The Kadison-Kaplansky conjecture for word-hyperbolic groups",2002,"https://doi.org/10.1007/s002220200216",1],[2,0.5233,-0.4089,"Quantum cohomology and Virasoro algebra",1997,"https://doi.org/10.1016/s0370-2693(97)00401-2",2],[2,-0.6664,-0.2665,"The cohomology of the Steenrod algebra and representations of the general linear groups",2005,"https://doi.org/10.1090/s0002-9947-05-03889-4",1],[2,-0.6815,-0.3605,"Partition complexes, duality and integral tree representations",2004,"https://doi.org/10.2140/agt.2004.4.943",1],[2,-0.8207,0.242,"An Improvement on the Delsarte-Type LP-Bound with Application to MUBs",2015,"https://doi.org/10.1142/s1230161215500018",1],[2,-0.5293,-0.6547,"On the differential structure of metric measure spaces and applications",2014,"https://doi.org/10.1090/memo/1113",1],[2,-0.2659,-0.5534,"Minimal Varieties in Riemannian Manifolds",1968,"https://doi.org/10.2307/1970556",4],[2,0.6009,-0.521,"On the homology of weighted homogeneous manifolds",1972,"https://doi.org/10.1007/bfb0070047",1],[2,-0.6171,-0.3459,"A model structure à la Thomason on 2-Cat",2006,"https://doi.org/10.1016/j.jpaa.2005.12.010",1],[2,-0.6686,0.4985,"The Jacobson radical of rings with nilpotent homogeneous elements",2008,"https://doi.org/10.1112/blms/bdn086",1],[2,-0.0618,-0.6599,"On Computable Numbers, with an Application to the Entscheidungsproblem",1937,"https://doi.org/10.1112/plms/s2-42.1.230",9],[2,0.3749,0.7454,"An Approximate Version of Sidorenko’s Conjecture",2010,"https://doi.org/10.1007/s00039-010-0097-0",1],[2,-0.4181,-0.5246,"A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces",1982,"https://doi.org/10.1007/bf01399507",2],[2,0.0114,-0.7638,"Parametrization of Abelian K-surfaces with quaternionic multiplication",2009,"https://doi.org/10.1016/j.crma.2009.09.025",1],[2,0.018,-0.8653,"Defining the integers in large rings of a number field using one universal quantifier",2009,"https://doi.org/10.1007/s10958-009-9404-4",1],[2,-0.0475,0.8486,"A study of the lex plus powers conjecture",2003,"https://doi.org/10.1016/s0022-4049(03)00130-0",1],[2,0.7182,0.2607,"Which Boolean functions are most informative?",2013,"https://doi.org/10.1109/isit.2013.6620221",1],[2,-0.6217,0.4319,"A combination theorem for special cube complexes",2012,"https://doi.org/10.4007/annals.2012.176.3.2",1],[2,-0.7112,0.1843,"Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains",2002,"https://doi.org/10.1103/physrevlett.89.077204",1],[2,-0.2562,-0.6809,"A local regularity theorem for mean curvature flow",2005,"https://doi.org/10.4007/annals.2005.161.1487",1],[2,0.7708,0.1209,"Random weighting, asymptotic counting, and inverse isoperimetry",2007,"https://doi.org/10.1007/s11856-007-0008-8",1],[2,0.5487,-0.5728,"On Termination of 4-fold Semi-stable Log Flips",2005,"https://doi.org/10.2977/prims/1145475354",1],[2,0.7088,0.0498,"O(√log n) approximation algorithms for min UnCut, min 2CNF deletion, and directed cut problems",2005,"https://doi.org/10.1145/1060590.1060675",1],[2,-0.6614,0.4615,"Mapping Tori of Free Group Automorphisms are Coherent",1999,"https://doi.org/10.2307/121081",1],[2,0.8327,-0.0233,"Bounded geometries, fractals, and low-distortion embeddings",2004,"https://doi.org/10.1109/sfcs.2003.1238226",1],[2,0.8196,-0.1678,"The Gromov width of 4–dimensional tori",2013,"https://doi.org/10.2140/gt.2013.17.2813",1],[2,-0.6063,0.073,"An analytic family of uniformly bounded representations of free groups",1986,"https://doi.org/10.1007/bf02392596",3],[2,0.0263,-0.65,"Automorphic Forms on GL (2)",1970,"https://doi.org/10.1007/bfb0058988",2],[2,-0.6665,-0.3398,"Spectral asymmetry and Riemannian Geometry. I",1975,"https://doi.org/10.1017/s0305004100049410",1],[2,-0.7907,0.0902,"A new improved energy-momentum tensor",1970,"https://doi.org/10.1016/0003-4916(70)90394-5",1],[2,-0.1228,-0.6517,"Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms",2012,"https://doi.org/10.1007/s12220-012-9378-1",2],[2,-0.0802,-0.87,"A Convexity Principle for Interacting Gases",1997,"https://doi.org/10.1006/aima.1997.1634",1],[2,0.0406,-0.7537,"Modularity of nearly ordinary 2-adic residually dihedral Galois representations",2014,"https://doi.org/10.1112/s0010437x1300780x",1],[2,0.4248,0.561,"Multiple recurrence and nilsequences",2005,"https://doi.org/10.1007/s00222-004-0428-6",1],[2,-0.7267,0.2295,"Minimum output entropy of bosonic channels: A conjecture",2004,"https://doi.org/10.1103/physreva.70.032315",1],[2,-0.1166,0.8498,"On genus change in algebraic curves over imperfect fields",2008,"https://doi.org/10.1090/s0002-9939-08-09712-8",1],[2,0.825,0.1182,"A combinatorial strongly polynomial algorithm for minimizing submodular functions",2001,"https://doi.org/10.1145/502090.502096",1],[2,-0.4602,0.6607,"On the limiting velocity of random walks in mixing random environment",2014,"https://doi.org/10.1214/12-aihp534",1],[2,-0.295,-0.7874,"Uniqueness of blowups and Łojasiewicz inequalities",2015,"https://doi.org/10.4007/annals.2015.182.1.5",1],[2,-0.7519,-0.3541,"Automorphisms of Right‐Angled Coxeter Groups",2008,"https://doi.org/10.1155/2008/976390",1],[2,0.2909,0.8058,"Seymour's Second Neighborhood Conjecture for Tournaments Missing a Generalized Star",2011,"https://doi.org/10.1002/jgt.20634",1],[2,0.7793,0.2873,"Dimension Expanders via Rank Condensers",2015,"https://doi.org/10.4230/lipics.approx-random.2015.800",1],[2,0.0449,-0.7395,"REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR",2002,"https://doi.org/10.1017/s1474748002000038",1],[2,0.5805,-0.2799,"The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture",2010,"https://doi.org/10.1007/s11511-010-0055-6",3],[2,-0.7887,0.1716,"Concavity of certain matrix trace and norm functions. II",2016,"https://doi.org/10.1016/j.laa.2015.12.032",1],[2,-0.8019,-0.3209,"K(N)-local duality for finite groups and groupoids",2000,"https://doi.org/10.1016/s0040-9383(99)00031-2",1],[2,-0.3956,-0.5816,"On Type-I singularities in Ricci flow",2011,"https://doi.org/10.4310/cag.2011.v19.n5.a4",1],[2,-0.768,0.1935,"General Paradigm for Distilling Classical Key From Quantum States",2009,"https://doi.org/10.1109/tit.2008.2009798",1],[2,-0.3571,0.6076,"Spin glasses and Stein’s method",2009,"https://doi.org/10.1007/s00440-009-0240-8",1],[2,-0.3464,0.5678,"Small Deviations for Beta Ensembles",2010,"https://doi.org/10.1214/ejp.v15-798",2],[2,-0.7298,-0.2279,"Homotopy groups of homotopy fixed point spectra associated to En",2007,"https://doi.org/10.2140/gtm.2007.10.131",1],[2,0.6184,-0.1871,"Some Theorems on Fourier Coefficients",1959,"https://doi.org/10.1090/s0002-9939-1959-0116184-5",3],[2,0.3456,0.7359,"Ramsey numbers for bipartite graphs with small bandwidth",2015,"https://doi.org/10.1016/j.ejc.2015.02.018",1],[2,-0.6185,-0.1688,"The multiplication on BP",2012,"https://doi.org/10.1112/jtopol/jts032",5],[2,-0.3434,0.7143,"An application of multivariate total positivity to peacocks",2013,"https://doi.org/10.1051/ps/2013049",1],[2,-0.0532,-0.6512,"Generalized shifts: unpredictability and undecidability in dynamical systems",1991,"https://doi.org/10.1088/0951-7715/4/2/002",9],[2,-0.5842,0.4975,"Sharp phase transition theorems for hyperbolicity of random groups",2004,"https://doi.org/10.1007/s00039-004-0470-y",1],[2,-0.6252,0.1524,"Counting, fanout and the complexity of quantum ACC",2002,"https://doi.org/10.26421/qic2.1-3",2],[2,0.2176,0.7551,"Splitters and near-optimal derandomization",2002,"https://doi.org/10.1109/sfcs.1995.492475",1],[2,0.5001,-0.7179,"Simple birational extensions of the polynomial algebra ℂ^{[3]}",2003,"https://doi.org/10.1090/s0002-9947-03-03398-1",1],[2,0.0011,0.8261,"On theK-theory of algebraically closed fields",1983,"https://doi.org/10.1007/bf01394024",1],[2,0.3044,-0.7063,"A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures",2006,"https://doi.org/10.4007/annals.2006.164.971",1],[2,-0.5367,-0.6039,"Macroscopic Dimension of 3-Manifolds",2003,"https://doi.org/10.1023/a:1024994930786",1],[2,0.7669,0.3124,"Self-adjusting binary search trees",1985,"https://doi.org/10.1145/3828.3835",1],[2,-0.3345,0.5755,"An Iterative Construction of Solutions of the TAP Equations for the Sherrington–Kirkpatrick Model",2013,"https://doi.org/10.1007/s00220-013-1862-3",3],[2,0.0677,-0.761,"On period spaces for p-divisible groups",2008,"https://doi.org/10.1016/j.crma.2008.07.003",1],[2,-0.7394,0.1103,"RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES",2008,"https://doi.org/10.1142/s0219199708003083",1],[2,0.684,0.3058,"AnO(ND) difference algorithm and its variations",1986,"https://doi.org/10.1007/bf01840446",1],[2,0.6963,0.2793,"Maximum skew-symmetric flows and matchings",2004,"https://doi.org/10.1007/s10107-004-0505-z",1],[2,0.1955,0.7098,"Lifts, Discrepancy and Nearly Optimal Spectral Gap*",2006,"https://doi.org/10.1007/s00493-006-0029-7",1],[2,-0.5713,0.138,"On ɛ-representations",1982,"https://doi.org/10.1007/bf02761236",2],[2,-0.4038,-0.6294,"Homogeneous M2 duals",2016,"https://doi.org/10.1007/jhep01(2016)150",1],[2,0.7768,-0.0829,"Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality",2000,"https://doi.org/10.1006/jfan.1999.3557",1],[2,-0.2783,0.6145,"Linear functionals of eigenvalues of random matrices",2001,"https://doi.org/10.1090/s0002-9947-01-02800-8",2],[2,-0.5169,0.3903,"An algebraic characterization of groups with soluble word problem",1974,"https://doi.org/10.1017/s1446788700019108",2],[2,-0.266,0.8122,"Complex Gaussian Multiplicative Chaos",2015,"https://doi.org/10.1007/s00220-015-2362-4",1],[2,-0.6211,0.211,"Stability and instability of the Cauchy horizon for the spherically symmetric Einstein–Maxwell-scalar field equations",2003,"https://doi.org/10.4007/annals.2003.158.875",3],[2,-0.7346,-0.2134,"On the K-theory of local fields",2003,"https://doi.org/10.4007/annals.2003.158.1",1],[2,-0.1956,0.6071,"Correlation inequalities on some partially ordered sets",1971,"https://doi.org/10.1007/bf01651330",20],[2,0.8416,0.1384,"Pseudorandom walks on regular digraphs and the RL vs. L problem",2006,"https://doi.org/10.1145/1132516.1132583",1],[2,-0.2913,0.7194,"A limit theorem for the contour process of condidtioned Galton--Watson trees",2003,"https://doi.org/10.1214/aop/1048516543",1],[2,0.1421,-0.636,"The distribution of closed geodesics on the modular surface, and Duke's theorem",2012,"https://doi.org/10.4171/lem/58-3-2",2],[2,-0.3111,0.5737,"The Parisi ultrametricity conjecture",2012,"https://doi.org/10.4007/annals.2013.177.1.8",6],[2,-0.6212,-0.5329,"Metric Spaces with Linear Extensions Preserving Lipschitz Condition",2007,"https://doi.org/10.1353/ajm.2007.0000",1],[2,-0.6308,0.1874,"Geometrical description of quantal state determination",1981,"https://doi.org/10.1088/0305-4470/14/12/019",2],[2,-0.1565,-0.6898,"On the kinetic theory of rarefied gases",1949,"https://doi.org/10.1002/cpa.3160020403",1],[2,-0.2242,0.6178,"Pivotal, cluster, and interface measures for critical planar percolation",2013,"https://doi.org/10.1090/s0894-0347-2013-00772-9",3],[2,-0.6733,-0.3823,"On essentially algebraic theorries and their generalizations",1999,"https://doi.org/10.1007/s000120050111",1],[2,-0.6371,-0.5009,"ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES",2002,"https://doi.org/10.1112/s0024611502013400",1],[2,-0.7321,-0.3492,"Flag-no-square triangulations and Gromov boundaries in dimension 3",2009,"https://doi.org/10.4171/ggd/66",1],[2,0.4615,0.6011,"On sets of integers containing no four elements in arithmetic progression",1969,"https://doi.org/10.1007/bf01894569",1],[2,0.3922,0.7477,"The Hardy-Littlewood Method",1997,"https://doi.org/10.1017/cbo9780511470929",1],[2,-0.3952,-0.6737,"Universality and scaling of correlations between zeros on complex manifolds",2000,"https://doi.org/10.1007/s002220000092",1],[2,-0.2725,0.6001,"Generalizations of Cauchy's determinant and Schur's Pfaffian",2005,"https://doi.org/10.1016/j.aam.2005.07.001",3],[2,0.7283,-0.4657,"Index theory of the de Rham complex on manifolds with periodic ends",2014,"https://doi.org/10.2140/agt.2014.14.3689",1],[2,0.3698,-0.6016,"K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics",2015,"https://doi.org/10.1007/s00222-015-0607-7",1],[2,0.663,0.3241,"Maximizing a Monotone Submodular Function Subject to a Matroid Constraint",2011,"https://doi.org/10.1137/080733991",1],[2,-0.8211,-0.2392,"Counting local systems with principal unipotent local monodromy",2013,"https://doi.org/10.4007/annals.2013.178.3.3",1],[2,0.4952,-0.7012,"Special subvarieties arising from families of cyclic covers of the projective line",2010,"https://doi.org/10.4171/dm/314",1],[2,-0.6515,-0.0576,"Perturbations of nuclear C*-algebras",2012,"https://doi.org/10.1007/s11511-012-0075-5",2],[2,0.2356,-0.3176,"Polar factorization and monotone rearrangement of vector‐valued functions",1991,"https://doi.org/10.1002/cpa.3160440402",2],[2,-0.7025,-0.3548,"Donaldson Invariants of Symplectic Manifolds",2014,"https://doi.org/10.1093/imrn/rnt345",1],[2,0.2819,-0.8041,"An essay on irrationality measures of pi and other logarithms",2004,"https://arxiv.org/abs/math/0404523",1],[2,0.3467,0.7076,"Independent transversals in locally sparse graphs",2007,"https://doi.org/10.1016/j.jctb.2007.02.003",1],[2,-0.6582,0.4923,"Fixed-point tile sets and their applications",2011,"https://doi.org/10.1016/j.jcss.2011.11.001",1],[2,0.4133,-0.5783,"The Projective Geometry of the Gale Transform",2000,"https://doi.org/10.1006/jabr.1999.7940",1],[2,0.3858,-0.6281,"Singularities on normal varieties",2009,"https://doi.org/10.1112/s0010437x09003996",1],[2,0.7169,0.3261,"A sublinear algorithm for weakly approximating edit distance",2003,"https://doi.org/10.1145/780542.780590",1],[2,0.5494,-0.6752,"Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles",2010,"https://doi.org/10.1007/s00222-010-0250-2",1],[2,0.2618,0.674,"On immanants of Jacobi-Trudi matrices and permutations with restricted position",1993,"https://doi.org/10.1016/0097-3165(93)90048-d",1],[2,0.2652,0.5867,"The early evolution of the H-free process",2010,"https://doi.org/10.1007/s00222-010-0247-x",2],[2,0.7314,0.1127,"Undirected connectivity in O(log/sup 1.5/n) space",1992,"https://doi.org/10.1109/sfcs.1992.267822",1],[2,0.4291,0.6269,"Tiling the line with translates of one tile",1996,"https://doi.org/10.1007/s002220050056",1],[2,0.3088,-0.5764,"Reduction maps and minimal model theory",2012,"https://doi.org/10.1112/s0010437x12000553",2],[2,-0.7067,-0.3643,"Lefschetz pencils and divisors in moduli space",2001,"https://doi.org/10.2140/gt.2001.5.579",1],[2,-0.6463,-0.3455,"Extensions of G-posets and Quillen's complex",1994,"https://doi.org/10.1017/s1446788700036053",1],[2,-0.2832,0.0873,"Metric Spaces of Non-Positive Curvature",1999,"https://doi.org/10.1007/978-3-662-12494-9",12],[2,0.1244,-0.6447,"On the distribution of primes in short intervals",1976,"https://doi.org/10.1112/s0025579300016442",2],[2,-0.316,-0.0588,"Lectures on Spaces of Nonpositive Curvature",1995,"https://doi.org/10.1007/978-3-0348-9240-7",2],[2,-0.0413,0.6639,"A generalization of a combinatorial theorem of macaulay",1969,"https://doi.org/10.1016/s0021-9800(69)80016-5",2],[2,0.7065,0.1113,"Deterministic simulation in LOGSPACE",1987,"https://doi.org/10.1145/28395.28410",1],[2,-0.4304,0.4944,"Categoricity in power",1965,"https://doi.org/10.1090/s0002-9947-1965-0175782-0",2],[2,0.6573,0.3466,"Linear approximation of shortest superstrings",1994,"https://doi.org/10.1145/179812.179818",1],[2,-0.2996,0.5836,"Replica bounds for diluted non-Poissonian spin systems",2003,"https://doi.org/10.1088/0305-4470/36/43/021",2],[2,-0.5137,0.5868,"TAMENESS FROM LARGE CARDINAL AXIOMS",2014,"https://doi.org/10.1017/jsl.2014.30",1],[2,-0.3129,0.7674,"A Characterization of the Tutte Polynomial via Combinatorial Embeddings",2008,"https://doi.org/10.1007/s00026-008-0343-4",1],[2,0.156,0.835,"Sparse Quasi-Random Graphs",2002,"https://doi.org/10.1007/s004930200010",1],[2,-0.0545,0.6609,"Symmetric Functions and Hall Polynomials",1995,"https://doi.org/10.1093/oso/9780198534891.001.0001",3],[2,0.0289,-0.6645,"On the Siegel–Weil formula: The case of singular forms",2011,"https://doi.org/10.1112/s0010437x11005379",2],[2,0.3088,0.6407,"The blocking number of an affine space",1978,"https://doi.org/10.1016/0097-3165(78)90013-4",1],[2,0.6246,0.2001,"Consistency in networks of relations",1977,"https://doi.org/10.1016/0004-3702(77)90007-8",3],[2,-0.4477,-0.692,"Einstein Hermitian metrics of positive sectional curvature",2014,"https://doi.org/10.1090/s0002-9939-2014-11929-0",1],[2,-0.4212,0.6039,"Sub-ballistic random walk in Dirichlet environment",2013,"https://doi.org/10.1214/ejp.v18-2109",1],[2,-0.3454,0.7737,"Conformal Invariance of Voronoi Percolation",1998,"https://doi.org/10.1007/s002200050443",1],[2,-0.731,0.2024,"Stability of Frustration-Free Hamiltonians",2013,"https://doi.org/10.1007/s00220-013-1762-6",1],[2,-0.453,-0.4164,"KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS",1998,"https://doi.org/10.1142/s0129167x98000282",2],[2,-0.6173,-0.109,"Counterexamples to the Baum--Connes conjecture",2002,"https://doi.org/10.1007/s00039-002-8249-5",5],[2,0.4209,-0.7147,"The first main theorem on complements: from global to local",2001,"https://doi.org/10.1070/im2001v065n06abeh000366",1],[2,0.1659,-0.618,"Popular values of Euler's function",1980,"https://doi.org/10.1112/s0025579300009967",2],[2,-0.3608,0.6149,"Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants",2005,"https://doi.org/10.1093/biomet/92.2.465",1],[2,-0.6555,-0.1203,"Hyperinvariant subspaces for some B–circular operators",2005,"https://doi.org/10.1007/s00208-005-0669-8",2],[2,-0.3472,-0.5483,"Characterization of Tangent Cones of Noncollapsed Limits with Lower Ricci Bounds and Applications",2013,"https://doi.org/10.1007/s00039-012-0202-7",2],[2,0.0794,-0.7472,"On the square-free sieve",2004,"https://doi.org/10.4064/aa115-4-3",1],[2,0.6558,-0.088,"A lemma about the Epstein zeta-function",1964,"https://doi.org/10.1017/s2040618500035024",3],[2,0.6148,0.2032,"Reversible Space Equals Deterministic Space",2000,"https://doi.org/10.1006/jcss.1999.1672",2],[2,-0.2351,0.7782,"Perfect lattice action for asymptotically free theories",1994,"https://doi.org/10.1016/0550-3213(94)90261-5",1],[2,0.5122,-0.3928,"A topological view of Gromov–Witten theory",2006,"https://doi.org/10.1016/j.top.2006.06.002",2],[2,0.6641,-0.5322,"MULTIPLICATIVE SUB-HODGE STRUCTURES OF CONJUGATE VARIETIES",2014,"https://doi.org/10.1017/fms.2013.7",1],[2,0.712,0.3288,"An algorithm for quadratic programming",1956,"https://doi.org/10.1002/nav.3800030109",1],[2,0.4484,-0.6899,"Variations on Nagata's Conjecture",2012,"https://arxiv.org/abs/1202.0475",1],[2,0.6542,0.042,"Vertex cover might be hard to approximate to within 2−ε",2007,"https://doi.org/10.1016/j.jcss.2007.06.019",2],[2,-0.4167,0.4883,"A partition calculus in set theory",1956,"https://doi.org/10.1090/s0002-9904-1956-10036-0",2],[2,-0.6125,0.2351,"The ionization conjecture in Hartree–Fock theory",2003,"https://doi.org/10.4007/annals.2003.158.509",3],[2,-0.7456,0.1348,"Quantum query complexity and semi-definite programming",2004,"https://doi.org/10.1109/ccc.2003.1214419",1],[2,0.6419,0.0836,"Improved bounds for sampling contingency tables",2002,"https://doi.org/10.1002/rsa.10049",2],[2,-0.6505,-0.5311,"Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces",2013,"https://doi.org/10.2478/agms-2013-0003",1],[2,0.3295,0.6926,"Ramsey numbers of cubes versus cliques",2014,"https://doi.org/10.1007/s00493-014-3010-x",1],[2,-0.6897,-0.3747,"A Cellular Nerve for Higher Categories",2002,"https://doi.org/10.1006/aima.2001.2056",1],[2,0.3416,0.7308,"Density theorems for bipartite graphs and related Ramsey-type results",2009,"https://doi.org/10.1007/s00493-009-2475-5",1],[2,-0.6387,0.1606,"Two soluble models of an antiferromagnetic chain",1961,"https://doi.org/10.1016/0003-4916(61)90115-4",2],[2,-0.7815,0.3654,"Freedman's inequality for matrix martingales",2011,"https://doi.org/10.1214/ecp.v16-1624",1],[2,0.0141,-0.7053,"Modular forms and effective Diophantine approximation",2013,"https://doi.org/10.1016/j.jnt.2013.05.006",1],[2,0.3807,0.7842,"Using Lovász Local Lemma in the Space of Random Injections",2007,"https://doi.org/10.37236/981",1],[2,0.3027,0.7647,"A Chromatic Symmetric Function in Noncommuting Variables",2001,"https://doi.org/10.1023/a:1011258714032",1],[2,-0.7684,0.1471,"Quantum rejection sampling",2012,"https://doi.org/10.1145/2090236.2090261",1],[2,0.8061,0.0895,"Monte Carlo sampling methods using Markov chains and their applications",1970,"https://doi.org/10.1093/biomet/57.1.97",1],[2,0.2043,-0.6789,"Distinct values of Euler's ø‐function",1976,"https://doi.org/10.1112/s0025579300006100",1],[2,-0.3932,-0.6819,"Entropy and closed geodesies",1982,"https://doi.org/10.1017/s0143385700001656",1],[2,0.5729,-0.5052,"Nearby cycles and characteristic classes of singular spaces",2012,"https://doi.org/10.4171/118-1/11",1],[2,-0.5737,-0.4342,"The unconditional basic sequence problem",1993,"https://doi.org/10.1090/s0894-0347-1993-1201238-0",1],[2,0.6089,0.1044,"Lifts of Convex Sets and Cone Factorizations",2013,"https://doi.org/10.1287/moor.1120.0575",2],[2,0.8083,-0.1007,"Sphere packing bounds via spherical codes",2014,"https://doi.org/10.1215/00127094-2738857",1],[2,0.0386,-0.7622,"Depth and the Local Langlands Correspondence",2016,"https://doi.org/10.1007/978-3-319-43648-7_2",1],[2,-0.861,0.0974,"The a-theorem and the asymptotics of 4D quantum field theory",2013,"https://doi.org/10.1007/jhep01(2013)152",1],[2,-0.7933,0.1217,"From Vertex Operator Algebras to Conformal Nets and Back",2018,"https://doi.org/10.1090/memo/1213",1],[2,-0.7919,0.2936,"Korteweg‐devries equation and generalizations. VI. methods for exact solution",1974,"https://doi.org/10.1002/cpa.3160270108",1],[2,0.4365,0.6856,"The Phylogenetic Kantorovich–Rubinstein Metric for Environmental Sequence Samples",2012,"https://doi.org/10.1111/j.1467-9868.2011.01018.x",1],[2,-0.8535,-0.0972,"Generators of finite $W^*$-algebras",1972,"https://doi.org/10.2748/tmj/1178241478",1],[2,-0.6733,-0.4919,"A FURTHER PROPERTY OF SPHERICAL ISOMETRIES",2014,"https://doi.org/10.1017/s0004972714000185",1],[2,0.5847,-0.4494,"Semisimple Frobenius structures at higher genus",2001,"https://doi.org/10.1155/s1073792801000605",1],[2,-0.6441,0.1498,"Quantum lower bounds for fanout",2006,"https://doi.org/10.26421/qic6.1-3",2],[2,-0.1102,0.6462,"On intervals in subgroup lattices of finite groups",2008,"https://doi.org/10.1090/s0894-0347-08-00602-4",2],[2,-0.2981,0.5937,"Bounds for diluted mean-fields spin glass models",2004,"https://doi.org/10.1007/s00440-004-0342-2",2],[2,-0.2405,-0.8198,"Higher symmetries of the Laplacian",2005,"https://doi.org/10.4007/annals.2005.161.1645",1],[2,-0.3874,-0.7236,"Poincaré–Lelong formula, J -analytic subsets and Lelong numbers of currents on almost complex manifolds",2013,"https://doi.org/10.1016/j.bulsci.2013.09.006",1],[2,0.4384,-0.6266,"On the Chow ring of birational irreducible symplectic varieties",2014,"https://doi.org/10.1007/s00229-014-0698-2",1],[2,0.5804,0.2902,"Approximation algorithms for metric facility location and k -Median problems using the primal-dual schema and Lagrangian relaxation",2001,"https://doi.org/10.1145/375827.375845",2],[2,-0.7888,0.2623,"Renormalization group constructions of topological quantum liquids and beyond",2016,"https://doi.org/10.1103/physrevb.93.045127",1],[2,-0.2191,0.6102,"Conformal loop ensembles: the Markovian characterization and the loop-soup construction",2012,"https://doi.org/10.4007/annals.2012.176.3.8",5],[2,0.593,-0.4531,"One-cycles on rationally connected varieties",2014,"https://doi.org/10.1112/s0010437x13007549",1],[2,0.2126,0.7029,"Random Latin squares and 2-dimensional expanders",2015,"https://doi.org/10.1016/j.aim.2014.12.015",1],[2,-0.6985,-0.2361,"Brown-Comenetz duality and the Adams spectral sequence",1999,"https://doi.org/10.1353/ajm.1999.0043",1],[2,0.3356,-0.5556,"Sasaki–Einstein Manifolds and Volume Minimisation",2008,"https://doi.org/10.1007/s00220-008-0479-4",2],[2,-0.7174,0.2752,"EXISTENCE OF GROUND STATES FOR NEGATIVE IONS AT THE BINDING THRESHOLD",2013,"https://doi.org/10.1142/s0129055x13500219",1],[2,-0.7465,-0.0117,"Subshifts and perforation",2010,"https://doi.org/10.1515/crelle.2010.012",1],[2,-0.3134,0.6313,"Subdiffusive concentration in first passage percolation",2014,"https://doi.org/10.1214/ejp.v19-3680",1],[2,-0.0001,0.8408,"The norm residue isomorphism theorem",2009,"https://doi.org/10.1112/jtopol/jtp013",1],[2,0.7904,0.145,"Strategy Iteration Is Strongly Polynomial for 2-Player Turn-Based Stochastic Games with a Constant Discount Factor",2013,"https://doi.org/10.1145/2432622.2432623",1],[2,-0.7515,0.2517,"Remarks on the Quantum de Finetti Theorem for Bosonic Systems",2014,"https://doi.org/10.1093/amrx/abu006",1],[2,0.3074,-0.8031,"Adjoint quotients of reductive groups",2012,"https://arxiv.org/abs/1211.3559",1],[2,-0.3018,0.5996,"A perspective on certain polynomial-time solvable classes of satisfiability",2002,"https://doi.org/10.1016/s0166-218x(01)00358-4",2],[2,-0.3365,0.7155,"Inhomogeneous loop models with open boundaries",2005,"https://doi.org/10.1088/0305-4470/38/27/001",1],[2,0.436,0.4672,"Nonconventional ergodic averages and nilmanifolds",2005,"https://doi.org/10.4007/annals.2005.161.397",6],[2,0.2972,0.7147,"The Hodge theory of Soergel bimodules",2014,"https://doi.org/10.4007/annals.2014.180.3.6",1],[2,-0.7697,0.2489,"Anyons in an exactly solved model and beyond",2006,"https://doi.org/10.1016/j.aop.2005.10.005",1],[2,0.3045,-0.7184,"Kennzeichnung derp-adischen und der endlichen algebraischen Zahlk�rper",1969,"https://doi.org/10.1007/bf01425420",1],[2,0.8058,0.1583,"Deciding the winner in parity games is in UP ∩ co-UP",1998,"https://doi.org/10.1016/s0020-0190(98)00150-1",1],[2,0.7944,0.1829,"Explicit factorization of the Vandermonde matrix",2000,"https://doi.org/10.1016/s0024-3795(00)00124-5",1],[2,0.6144,0.2171,"Quasipolynomial-Time Identity Testing of Non-commutative and Read-Once Oblivious Algebraic Branching Programs",2013,"https://doi.org/10.1109/focs.2013.34",3],[2,-0.1844,-0.6323,"Dispersive estimates for principally normal pseudodifferential operators",2004,"https://doi.org/10.1002/cpa.20067",2],[2,0.0873,-0.6569,"A quadratic large sieve inequality over number fields",2012,"https://doi.org/10.1017/s0305004112000370",3],[2,0.8146,0.1964,"New algorithms for digital convolution",1977,"https://doi.org/10.1109/tassp.1977.1162981",1],[2,0.2655,0.7135,"Euclidean ramsey theorems. I",1973,"https://doi.org/10.1016/0097-3165(73)90011-3",1],[2,0.7357,-0.3413,"On the Hausdorff dimensions of distance sets",1985,"https://doi.org/10.1112/s0025579300010998",1],[2,-0.6969,-0.0958,"Non-microstates free entropy dimension for groups",2005,"https://doi.org/10.1007/s00039-005-0513-z",1],[2,-0.6123,-0.5596,"Unconditional bases and fixed points of nonexpansive mappings",1985,"https://doi.org/10.2140/pjm.1985.116.69",1],[2,-0.6451,-0.0172,"The relation between the Baum-Connes Conjecture and the Trace Conjecture",2002,"https://doi.org/10.1007/s002220200215",2],[2,0.6537,0.0463,"On the hardness of approximating vertex cover",2005,"https://doi.org/10.4007/annals.2005.162.439",2],[2,0.4534,0.4548,"A Geometric Approach to the Global Attractor Conjecture",2014,"https://doi.org/10.1137/130928170",2],[2,-0.6384,0.4711,"Definitions of quasiconformality",1995,"https://doi.org/10.1007/bf01241122",1],[2,-0.7214,0.4349,"Coarse differentiation and quasi-isometries of a class of solvable Lie groups I",2011,"https://doi.org/10.2140/gt.2011.15.1883",1],[2,-0.6408,-0.3255,"PU (2) monopoles. II: Top-level Seiberg-Witten moduli spaces and Witten's conjecture in low degrees",2001,"https://doi.org/10.1515/crll.2001.064",1],[2,0.4987,-0.0036,"Some unsolved problems.",1957,"https://doi.org/10.1307/mmj/1028997963",4],[2,0.6484,0.3235,"A threshold of ln n for approximating set cover",1998,"https://doi.org/10.1145/285055.285059",1],[2,0.0222,-0.6394,"On the Birch-Swinnerton-Dyer quotients modulo squares",2010,"https://doi.org/10.4007/annals.2010.172.567",4],[2,0.566,-0.5049,"A Characteristic Number for Links of Surface Singularities",1990,"https://doi.org/10.1090/s0894-0347-1990-1044058-x",1],[2,0.6983,0.3434,"Distributions on level-sets with applications to approximation algorithms",2001,"https://doi.org/10.1109/sfcs.2001.959935",1],[2,0.4271,-0.4744,"Numerical triviality and pullbacks",2015,"https://doi.org/10.1016/j.jpaa.2015.05.037",2],[2,-0.1347,-0.8573,"Hot spots conjecture for a class of acute triangles",2015,"https://doi.org/10.1007/s00209-015-1448-1",1],[2,-0.6799,-0.5384,"A note on analytic functions in the unit circle",1932,"https://doi.org/10.1017/s0305004100010112",1],[2,0.7345,0.1923,"A Linear Programming Approach to the Cutting-Stock Problem",1961,"https://doi.org/10.1287/opre.9.6.849",1],[2,0.3444,-0.6344,"On direct images of pluricanonical bundles",2014,"https://doi.org/10.2140/ant.2014.8.2273",1],[2,0.783,0.2013,"Bin packing can be solved within 1 + ε in linear time",1981,"https://doi.org/10.1007/bf02579456",1],[2,-0.2882,0.5922,"The threshold for random 𝑘-SAT is 2^{𝑘}log2-𝑂(𝑘)",2004,"https://doi.org/10.1090/s0894-0347-04-00464-3",2],[2,0.3406,-0.5681,"Hilbert functions of graded algebras",1978,"https://doi.org/10.1016/0001-8708(78)90045-2",2],[2,-0.2275,0.744,"Causal independence and the energy-level density of states in local quantum field theory",1986,"https://doi.org/10.1007/bf01454978",1],[2,0.5205,-0.4013,"Gromov-Witten Invariants and Quantization of Quadratic Hamiltonians",2001,"https://doi.org/10.17323/1609-4514-2001-1-4-551-568",2],[2,0.2196,0.7453,"ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING",1969,"https://doi.org/10.1070/sm1969v008n03abeh001279",1],[2,-0.7097,-0.3014,"LOCALIZATION IN HERMITIAN $K$-THEORY OF RINGS",2004,"https://doi.org/10.1112/s0024610704005393",1],[2,-0.2617,0.6187,"Proof of the Van den Berg–Kesten Conjecture",2000,"https://doi.org/10.1017/s0963548399004113",2],[2,0.6717,0.2659,"Graph partitioning using single commodity flows",2006,"https://doi.org/10.1145/1132516.1132574",1],[2,-0.7395,-0.3826,"Witten’s conjecture and Property P",2004,"https://doi.org/10.2140/gt.2004.8.295",1],[2,-0.8164,-0.0163,"The index of elliptic operators on compact manifolds",1963,"https://doi.org/10.1090/s0002-9904-1963-10957-x",1],[2,0.3275,0.5523,"A generalized flat extension theorem for moment matrices",2009,"https://doi.org/10.1007/s00013-009-0007-6",2],[2,-0.7105,-0.0999,"L2-homology for von Neumann algebras",2005,"https://doi.org/10.1515/crll.2005.2005.586.125",1],[2,-0.6094,0.2175,"Penrose inequality and apparent horizons",2004,"https://doi.org/10.1103/physrevd.70.124031",6],[2,0.5852,-0.4373,"Equivariant Gromov–Witten invariants",1996,"https://doi.org/10.1155/s1073792896000414",1],[2,-0.0433,0.7553,"Riemann-Roch theorems for differentiable manifolds",1959,"https://doi.org/10.1090/s0002-9904-1959-10344-x",1],[2,0.6064,0.5667,"Twofold mixing implies threefold mixing for rank one transformations",1984,"https://doi.org/10.1017/s014338570000242x",1],[2,0.7061,0.0377,"Gadgets, Approximation, and Linear Programming",2000,"https://doi.org/10.1137/s0097539797328847",1],[2,-0.3461,-0.6099,"Ellipsoid embeddings and symplectic packing stability",2013,"https://doi.org/10.1112/s0010437x12000826",1],[2,-0.6162,0.2423,"The calculation of atomic fields",1927,"https://doi.org/10.1017/s0305004100011683",2],[2,0.5931,-0.4248,"Motivic Donaldson-Thomas invariants and McKay correspondence",2011,"https://arxiv.org/abs/1107.6044",1],[2,-0.6598,0.3135,"Existence of N�el order in some spin-1/2 Heisenberg antiferromagnets",1988,"https://doi.org/10.1007/bf01023854",1],[2,-0.6694,0.2975,"Constraints on supersymmetry breaking",1982,"https://doi.org/10.1016/0550-3213(82)90071-2",1],[2,-0.7026,-0.0275,"Identifying assembly maps in K - and L -theory",2003,"https://doi.org/10.1007/s00208-003-0454-5",1],[2,0.4845,0.645,"New Proofs of the Green-Tao-Ziegler Dense Model Theorem: An Exposition",2008,"https://arxiv.org/abs/0806.0381",1],[2,-0.7237,0.195,"Reference frames, superselection rules, and quantum information",2007,"https://doi.org/10.1103/revmodphys.79.555",1],[2,-0.4566,0.1249,"The Baum-Connes conjecture for hyperbolic groups",2002,"https://doi.org/10.1007/s002220200214",4],[2,-0.2313,0.6009,"SLE curves and natural parametrization",2013,"https://doi.org/10.1214/12-aop742",3],[2,-0.1486,0.1996,"Interlacing families II: Mixed characteristic polynomials and the Kadison--Singer problem",2015,"https://doi.org/10.4007/annals.2015.182.1.8",4],[2,0.6254,0.2159,"More on Noncommutative Polynomial Identity Testing",2005,"https://doi.org/10.1109/ccc.2005.13",3],[2,0.6684,0.0501,"Proof verification and the hardness of approximation problems",1998,"https://doi.org/10.1145/278298.278306",6],[2,0.1006,-0.7956,"Artin's conjecture on the average",1968,"https://doi.org/10.1112/s0025579300002606",1],[2,-0.6474,-0.0438,"On the optimal paving over MASAs in von Neumann algebras",2016,"https://doi.org/10.1090/conm/671/13511",2],[2,0.1748,-0.6282,"Vinogradov's mean value theorem via efficient congruencing",2012,"https://doi.org/10.4007/annals.2012.175.3.12",2],[2,0.6626,0.3762,"Polynomial Codes Over Certain Finite Fields",1960,"https://doi.org/10.1137/0108018",1],[2,-0.7789,0.1956,"Unextendible Product Bases and Bound Entanglement",1999,"https://doi.org/10.1103/physrevlett.82.5385",1],[2,-0.4077,-0.5232,"Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \\infty)$ metric measure spaces",2013,"https://doi.org/10.3934/dcds.2014.34.1641",2],[2,0.6438,0.5262,"Additive functions of intervals and Hausdorff measure",1946,"https://doi.org/10.1017/s0305004100022684",1],[2,0.4585,-0.652,"Lefschetz Motives and the Tate Conjecture",1999,"https://doi.org/10.1023/a:1000776613765",1],[2,-0.701,0.5079,"Immersing almost geodesic surfaces in a closed hyperbolic three manifold",2012,"https://doi.org/10.4007/annals.2012.175.3.4",1],[2,0.8197,0.0561,"Hypergraph regularity and the multidimensional Szemerédi theorem",2007,"https://doi.org/10.4007/annals.2007.166.897",1],[2,-0.6515,-0.308,"Homotopy invariance of 4-manifold decompositions: Connected sums",2012,"https://doi.org/10.1016/j.topol.2012.08.005",1],[2,0.5805,-0.3179,"On Hausdorff dimension of projections",1968,"https://doi.org/10.1112/s0025579300002503",2],[2,0.309,0.6587,"On Brooks' Theorem for Sparse Graphs",1995,"https://doi.org/10.1017/s0963548300001528",1],[2,0.8264,-0.1002,"The logarithmic Minkowski problem",2012,"https://doi.org/10.1090/s0894-0347-2012-00741-3",1],[2,0.3157,0.7634,"A note of welcome",1977,"https://doi.org/10.1002/jgt.3190010105",1],[2,0.7402,-0.104,"On the impossibility of dimension reduction in l 1",2005,"https://doi.org/10.1145/1089023.1089026",1],[2,0.4076,0.4925,"Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold",2004,"https://doi.org/10.1017/s0143385704000215",3],[2,0.2566,0.5981,"Some constructive bounds on Ramsey numbers",2010,"https://doi.org/10.1016/j.jctb.2010.01.003",2],[2,0.4331,0.7062,"Improved Bounds for Planar k -Sets and Related Problems",1998,"https://doi.org/10.1007/pl00009354",1],[2,-0.3551,-0.7668,"Nearby Lagrangians with vanishing Maslov class are homotopy equivalent",2011,"https://doi.org/10.1007/s00222-011-0365-0",1],[2,-0.2453,0.6015,"On the heat kernel and the Dirichlet form of Liouville Brownian motion",2014,"https://doi.org/10.1214/ejp.v19-2950",3],[2,-0.2805,0.6972,"The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection",2014,"https://doi.org/10.1214/ejp.v19-3213",1],[2,-0.1214,0.7143,"Growth of cross-characteristic representations of finite quasisimple groups of Lie type",2014,"https://doi.org/10.1016/j.jalgebra.2014.02.031",1],[2,0.7738,0.0739,"Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms",1999,"https://doi.org/10.1145/331524.331526",1],[2,-0.6819,0.3018,"On the ground state wave function of matrix theory",2015,"https://doi.org/10.1007/jhep11(2015)027",1],[2,-0.5703,0.4059,"On one relator groups and HNN extensions",1973,"https://doi.org/10.1017/s1446788700014300",1],[2,-0.2754,0.5841,"Around the Razumov–Stroganov Conjecture: Proof of a Multi-Parameter Sum Rule",2005,"https://doi.org/10.37236/1903",2],[2,0.6037,0.3694,"The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes",2011,"https://doi.org/10.1086/664613",1],[2,-0.7644,0.0366,"Picard groups of certain stably projectionless C*-algebras",2013,"https://doi.org/10.1112/jlms/jdt013",1],[2,-0.1297,-0.8225,"On Neumann eigenfunctions in lip domains",2004,"https://doi.org/10.1090/s0894-0347-04-00453-9",1],[2,0.404,0.528,"Decompositions, approximate structure, transference, and the Hahn-Banach theorem",2010,"https://doi.org/10.1112/blms/bdq018",2],[2,-0.7523,0.2206,"Least squares quantization in PCM",1982,"https://doi.org/10.1109/tit.1982.1056489",1],[2,0.0848,-0.8274,"Power free values of polynomials",1976,"https://doi.org/10.1112/s0025579300008779",1],[2,0.5347,-0.5304,"Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles",2004,"https://doi.org/10.1112/s0024611503014618",1],[2,-0.5979,-0.2665,"4-Manifold topology I: Subexponential groups",1995,"https://doi.org/10.1007/bf01231454",2],[2,0.3505,-0.5464,"Semistable sheaves in positive characteristic",2004,"https://doi.org/10.4007/annals.2004.159.251",6],[2,-0.3277,-0.793,"Heat Kernel Estimates and the Essential Spectrum on Weighted Manifolds",2013,"https://doi.org/10.1007/s12220-013-9438-1",1],[2,-0.5187,-0.4113,"DIAMOND GRAPHS AND SUPER-REFLEXIVITY",2009,"https://doi.org/10.1142/s1793525309000114",4],[2,-0.6655,0.4043,"Coarse differentiation of quasi-isometries II: Rigidity for Sol and lamplighter groups",2013,"https://doi.org/10.4007/annals.2013.177.3.2",1],[2,0.2558,0.7963,"Note on a problem of M. Talagrand",2014,"https://doi.org/10.1002/rsa.20559",1],[2,0.1664,0.6949,"Decomposing Random Graphs into Few Cycles and Edges",2014,"https://doi.org/10.1017/s0963548314000844",1],[2,-0.4525,-0.6976,"A Birkhoff Contraction Formula with Applications to Riccati Equations",2007,"https://doi.org/10.1137/050637637",1],[2,0.7976,0.2482,"Logical Hierarchies in PTIME",1996,"https://doi.org/10.1006/inco.1996.0070",1],[2,0.3831,-0.5389,"Extending Triangulations and Semistable Reduction",1998,"https://arxiv.org/abs/math/9804058",2],[2,0.7824,-0.2745,"Large values of the Gowers-Host-Kra seminorms",2012,"https://doi.org/10.1007/s11854-012-0018-2",1],[2,-0.6884,0.5032,"Criterion for Cannon’s Conjecture",2013,"https://doi.org/10.1007/s00039-013-0228-5",1],[2,0.2786,0.7171,"From real affine geometry to complex geometry",2011,"https://doi.org/10.4007/annals.2011.174.3.1",1],[2,-0.0094,0.7815,"A tracial Nullstellensatz",2014,"https://doi.org/10.1112/blms/bdu064",1],[2,-0.217,-0.7865,"Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients",1974,"https://doi.org/10.1007/bf00247634",1],[2,0.3676,-0.6324,"An interpretation of multiplier ideals via tight closure",2003,"https://doi.org/10.1090/s1056-3911-03-00366-7",1],[2,-0.1588,-0.8316,"Two-phase problems with distributed sources: regularity of the free boundary",2014,"https://doi.org/10.2140/apde.2014.7.267",1],[2,-0.7261,0.2012,"Fermionic and bosonic Laughlin state on thick cylinders",2012,"https://doi.org/10.1063/1.4768250",1],[2,0.4534,-0.4662,"Termination of 4-fold Canonical Flips",2004,"https://doi.org/10.2977/prims/1145475971",4],[2,0.3403,0.6691,"A Maslov cocycle for unitary groups",2009,"https://doi.org/10.1112/plms/pdp023",1],[2,0.6991,0.1436,"Group-theoretic Algorithms for Matrix Multiplication",2005,"https://doi.org/10.1109/sfcs.2005.39",1],[2,0.7284,-0.0863,"Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction",2014,"https://doi.org/10.1007/s00220-014-1965-5",1],[2,-0.6825,-0.5407,"Connections Between Metric Characterizations of Superreflexivity and the Radon–Nikodým Property for Dual Banach Spaces",2014,"https://doi.org/10.4153/cmb-2014-049-9",1],[2,-0.7616,0.2946,"An upper bound for the number of electrons in a large ion",1989,"https://doi.org/10.1073/pnas.86.10.3464",1],[2,0.785,-0.055,"Hyperbolic Polynomials and Interior Point Methods for Convex Programming",1997,"https://doi.org/10.1287/moor.22.2.350",1],[2,-0.5353,0.3701,"Topology of finite graphs",1983,"https://doi.org/10.1007/bf02095993",2],[2,-0.6901,0.4892,"ON THE LOCAL-INDICABILITY COHEN–LYNDON THEOREM",2011,"https://doi.org/10.1017/s0017089511000231",1],[2,-0.5847,0.2594,"Computational complexity of interacting electrons and fundamental limitations of density functional theory",2009,"https://doi.org/10.1038/nphys1370",2],[2,-0.5067,0.3967,"Hyperlinear and Sofic Groups: A Brief Guide",2008,"https://doi.org/10.2178/bsl/1231081461",2],[2,-0.6398,-0.5872,"A renorming of some nonseparable Banach spaces with the Fixed Point Property",2008,"https://doi.org/10.1016/j.jmaa.2008.02.049",1],[2,-0.8145,0.2066,"Generalized privacy amplification",1995,"https://doi.org/10.1109/18.476316",1],[2,0.7519,0.0896,"Replica Monte Carlo Simulation (Revisited)",2005,"https://doi.org/10.1143/ptps.157.317",1],[2,-0.6255,-0.178,"Some complements to the Lazard isomorphism",2010,"https://doi.org/10.1112/s0010437x10004884",3],[2,0.0371,0.6593,"Idempotent Completion of Triangulated Categories",2001,"https://doi.org/10.1006/jabr.2000.8529",2],[2,0.4003,-0.5206,"Stability structures, motivic Donaldson-Thomas invariants and cluster transformations",2008,"https://arxiv.org/abs/0811.2435",2],[2,0.7576,0.1498,"The method of types [information theory]",1998,"https://doi.org/10.1109/18.720546",1],[2,-0.2145,-0.7719,"Calderón’s inverse conductivity problem in the plane",2006,"https://doi.org/10.4007/annals.2006.163.265",1],[2,-0.716,0.1556,"The capacity of the quantum channel with general signal states",1998,"https://doi.org/10.1109/18.651037",1],[2,-0.2354,0.5993,"Tutte Polynomial, Subgraphs, Orientations and Sandpile Model: New Connections via Embeddings",2008,"https://doi.org/10.37236/833",3],[2,0.5372,-0.5088,"Hyperkähler Syz Conjecture and Semipositive Line Bundles",2009,"https://doi.org/10.1007/s00039-009-0037-z",1],[2,0.5141,-0.5539,"Singular hermitian metrics on holomorphic vector bundles",2015,"https://doi.org/10.1007/s11512-015-0212-4",1],[2,0.2929,0.7435,"Affine Structures and Non-Archimedean Analytic Spaces",2007,"https://doi.org/10.1007/0-8176-4467-9_9",1],[2,-0.5884,-0.6327,"Large and small group homology",2010,"https://doi.org/10.1112/jtopol/jtq014",1],[2,0.2438,-0.6,"Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable",2002,"https://doi.org/10.1090/s0894-0347-02-00393-4",2],[2,0.3607,0.6579,"Unit Distance Graphs with Ambiguous Chromatic Number",2009,"https://doi.org/10.37236/269",1],[2,0.2972,0.7741,"Recent trends in Euclidean Ramsey theory",1994,"https://doi.org/10.1016/0012-365x(94)00110-5",1],[2,0.8073,-0.243,"Near Perfect Coverings in Graphs and Hypergraphs",1985,"https://doi.org/10.1016/s0195-6698(85)80045-7",1],[2,-0.1441,0.6207,"Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem",1971,"https://doi.org/10.1098/rspa.1971.0067",2],[2,0.2301,0.8268,"A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs",1999,"https://doi.org/10.1090/s0002-9947-99-02234-5",1],[2,0.0175,-0.6611,"The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula",2014,"https://doi.org/10.1007/s00222-014-0509-0",2],[2,-0.3101,0.7327,"Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point",2014,"https://doi.org/10.1007/s00023-014-0338-0",1],[2,0.1791,-0.6228,"Asymptotic Sieve for Primes",1998,"https://doi.org/10.2307/121035",2],[2,-0.4181,0.709,"Central limit theorems for cavity and local fields of the Sherrington-Kirkpatrick model",2013,"https://doi.org/10.1214/ejp.v18-1763",1],[2,-0.6284,-0.5855,"Zum Prinzip der kontraktiven Abbildung",1965,"https://doi.org/10.1002/mana.19650300312",1],[2,0.241,0.8009,"Expansion of building-like complexes",2016,"https://doi.org/10.4171/ggd/346",1],[2,0.3315,0.5658,"Connected matchings and Hadwiger's conjecture",2005,"https://doi.org/10.1017/s0963548305006759",2],[2,-0.715,-0.0351,"Asymptotic structure of free product von Neumann algebras",2016,"https://doi.org/10.1017/s0305004116000396",1],[2,0.419,-0.5124,"Termination of (many) 4-dimensional log flips",2007,"https://doi.org/10.1007/s00222-007-0038-1",3],[2,0.7162,0.116,"Random walks, universal traversal sequences, and the complexity of maze problems",1979,"https://doi.org/10.1109/sfcs.1979.34",1],[2,0.2415,-0.602,"On a vanishing conjecture appearing in the geometric Langlands correspondence",2004,"https://doi.org/10.4007/annals.2004.160.617",4],[2,0.155,0.6993,"Axioms for infinite matroids",2013,"https://doi.org/10.1016/j.aim.2013.01.011",1],[2,-0.5406,0.5728,"RANK LOGIC IS DEAD, LONG LIVE RANK LOGIC!",2019,"https://doi.org/10.1017/jsl.2018.33",1],[2,-0.6255,0.2185,"P. D. E.'s Which Imply the Penrose Conjecture",2011,"https://doi.org/10.4310/ajm.2011.v15.n4.a5",3],[2,0.7609,-0.3301,"On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1",2014,"https://doi.org/10.1007/s11511-014-0120-7",1],[2,0.4342,-0.5875,"Weighted compactifications of configuration spaces and relative stable degenerations",2014,"https://arxiv.org/abs/1411.2955",1],[2,0.6556,-0.0775,"Gaussian subordination for the Beurling-Selberg extremal problem",2013,"https://doi.org/10.1090/s0002-9947-2013-05716-9",3],[2,-0.2052,0.6184,"Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits",2001,"https://doi.org/10.1016/s0764-4442(01)01991-7",6],[2,-0.7363,0.0054,"On tensor products of certain group C∗-algebras",1976,"https://doi.org/10.1016/0022-1236(76)90050-1",1],[2,0.3471,-0.6164,"$Q$-universal desingularization",2011,"https://doi.org/10.4310/ajm.2011.v15.n2.a5",1],[2,-0.5277,-0.6624,"Well-posedness of Lagrangian flows and continuity equations in metric measure spaces",2014,"https://doi.org/10.2140/apde.2014.7.1179",1],[2,0.6921,0.1414,"Formal Verification of Nonlinear Inequalities with Taylor Interval Approximations",2013,"https://doi.org/10.1007/978-3-642-38088-4_26",1],[2,-0.8199,0.2998,"On a Penrose Inequality with Charge",2005,"https://doi.org/10.1007/s00220-005-1355-0",1],[2,0.745,0.2703,"A Deterministic Polynomial Time Algorithm for Non-commutative Rational Identity Testing",2016,"https://doi.org/10.1109/focs.2016.95",1],[2,0.7475,0.3026,"An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs",1973,"https://doi.org/10.1137/0202019",1],[2,0.3077,-0.5604,"Semistable sheaves on projective varieties and their restriction to curves",1982,"https://doi.org/10.1007/bf01450677",4],[2,-0.3587,-0.6249,"Entropy rigidity of Anosov flows in dimension three",2001,"https://doi.org/10.1017/s0143385701001523",1],[2,0.2072,0.2497,"Some intersection theorems for ordered sets and graphs",1986,"https://doi.org/10.1016/0097-3165(86)90019-1",3],[2,-0.1897,0.7998,"The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lov�sz Local Lemma",2005,"https://doi.org/10.1007/s10955-004-2055-4",1],[2,-0.6978,0.4357,"Cantor systems, piecewise translations and simple amenable groups",2013,"https://doi.org/10.4007/annals.2013.178.2.7",1],[2,-0.2895,0.5745,"Every decision tree has an in.uential variable",2005,"https://doi.org/10.1109/sfcs.2005.34",5],[2,-0.8559,0.0978,"Scale invariance vs conformal invariance",2014,"https://doi.org/10.1016/j.physrep.2014.12.003",1],[2,0.5128,-0.5121,"Topology of Hitchin systems and Hodge theory of character varieties: the case A_1",2012,"https://doi.org/10.4007/annals.2012.175.3.7",1],[2,0.3586,-0.5445,"Existence of minimal models for varieties of log general type",2009,"https://doi.org/10.1090/s0894-0347-09-00649-3",21],[2,0.2282,0.8172,"Theory of Computing",2008,"https://doi.org/10.4086/toc.2008.v004a003",1],[2,0.8353,0.2176,"Polynomiality for Bin Packing with a Constant Number of Item Types",2013,"https://doi.org/10.1137/1.9781611973402.61",1],[2,-0.6104,0.2456,"Detecting the trail of a random walker in a random scenery",2013,"https://doi.org/10.1214/ejp.v18-2367",3],[2,0.33,0.701,"A tail bound for read‐k families of functions",2014,"https://doi.org/10.1002/rsa.20532",1],[2,0.4629,-0.5917,"Polynomial Bridgeland stability conditions and the large volume limit",2009,"https://doi.org/10.2140/gt.2009.13.2389",1],[2,-0.8057,-0.2457,"On degeneration of one-dimensional formal group laws and applications to stable homotopy theory",2003,"https://doi.org/10.1353/ajm.2003.0036",1],[2,-0.6357,0.445,"RELATIVELY HYPERBOLIC GROUPS",2011,"https://doi.org/10.1142/s0218196712500166",1],[2,0.7027,0.1403,"Rapid Multiplication of Rectangular Matrices",1982,"https://doi.org/10.1137/0211037",1],[2,-0.4209,0.3827,"Some properties of the phase diagram for mixed p-spin glasses",2016,"https://doi.org/10.1007/s00440-015-0691-z",6],[2,-0.5576,-0.4516,"Geometry of Cuts and Metrics",1997,"https://doi.org/10.1007/978-3-642-04295-9",1],[2,-0.3347,0.6954,"Relating the Bures Measure to the Cauchy Two-Matrix Model",2015,"https://doi.org/10.1007/s00220-015-2435-4",1],[2,0.3512,0.7237,"On Bipartite Graphs with Linear Ramsey Numbers",2001,"https://doi.org/10.1007/s004930100018",1],[2,-0.6239,0.21,"Internal structure of black holes",1990,"https://doi.org/10.1103/physrevd.41.1796",3],[2,0.2976,-0.68,"The k ‐dimensional Duffin and Schaeffer conjecture",1990,"https://doi.org/10.1112/s0025579300012900",1],[2,-0.193,0.6333,"Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models",1979,"https://doi.org/10.1016/0003-4916(79)90391-9",3],[2,-0.7651,-0.1114,"The fundamental group of the von Neumann algebra of a free group with infinitely many generators is ℝ₊\\slash{0}",1992,"https://doi.org/10.1090/s0894-0347-1992-1142260-1",1],[2,0.7646,-0.1665,"LOCAL MINIMALITY OF THE VOLUME‐PRODUCT AT THE SIMPLEX",2010,"https://doi.org/10.1112/s0025579310001555",1],[2,-0.7255,0.1387,"PRIMES is in P",2004,"https://doi.org/10.4007/annals.2004.160.781",1],[2,0.4741,0.4566,"Weakly mixing PET",1987,"https://doi.org/10.1017/s0143385700004090",3],[2,-0.2939,0.5814,"Structure of Finite-RSB Asymptotic Gibbs Measures in the Diluted Spin Glass Models",2015,"https://doi.org/10.1007/s10955-015-1385-8",2],[2,-0.1915,0.6091,"Universal Jump in the Superfluid Density of Two-Dimensional Superfluids",1977,"https://doi.org/10.1103/physrevlett.39.1201",2],[2,-0.5282,-0.5564,"Conformal deformation of a Riemannian metric to constant scalar curvature",1984,"https://doi.org/10.4310/jdg/1214439291",1],[2,-0.6715,0.2243,"Quantum source of entropy for black holes",1986,"https://doi.org/10.1103/physrevd.34.373",1],[2,-0.7679,-0.1012,"Conditional expectation in an operator algebra, I",1954,"https://doi.org/10.2748/tmj/1178245177",1],[2,0.8406,0.2128,"Improved Generic Algorithms for Hard Knapsacks",2011,"https://doi.org/10.1007/978-3-642-20465-4_21",1],[2,0.4845,-0.6355,"The Torsion of the Group of 0-Cycles Modulo Rational Equivalence",1980,"https://doi.org/10.2307/1971109",1],[2,-0.738,0.1177,"A new universal and fault-tolerant quantum basis",2000,"https://doi.org/10.1016/s0020-0190(00)00084-3",1],[2,0.2541,-0.789,"M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra",2014,"https://doi.org/10.1007/s00222-014-0528-x",1],[2,0.395,-0.5422,"Moduli of objects in dg-categories",2007,"https://doi.org/10.1016/j.ansens.2007.05.001",2],[2,0.7126,-0.5022,"Towards a mathematical definition of Coulomb branches of $3$-dimensional $\\mathcal{N} = 4$ gauge theories, II",2018,"https://doi.org/10.4310/atmp.2018.v22.n5.a1",1],[2,0.5613,0.55,"The ergodic theoretical proof of Szemerédi’s theorem",1982,"https://doi.org/10.1090/s0273-0979-1982-15052-2",1],[2,0.0478,0.7905,"The Frobenius action on local cohomology modules in mixed characteristic",2007,"https://doi.org/10.1112/s0010437x07002825",1],[2,0.5379,0.4995,"A universal instability of many-dimensional oscillator systems",1979,"https://doi.org/10.1016/0370-1573(79)90023-1",1],[2,-0.3783,0.6357,"Saddlepoint approximations for the normalizing constant of Fisher-Bingham distributions on products of spheres and Stiefel manifolds",2013,"https://doi.org/10.1093/biomet/ast021",1],[2,-0.7029,0.1293,"Perfect computational equivalence between quantum Turing machines and finitely generated uniform quantum circuit families",2009,"https://doi.org/10.1007/s11128-008-0091-8",1],[2,0.3245,0.5622,"$I$-Divergence Geometry of Probability Distributions and Minimization Problems",1975,"https://doi.org/10.1214/aop/1176996454",2],[2,0.322,0.6897,"The Ramsey number of a graph with bounded maximum degree",1983,"https://doi.org/10.1016/0095-8956(83)90037-0",1],[2,-0.0305,0.7175,"Hyperlinearity, essentially free actions and L2-invariants. The sofic property",2005,"https://doi.org/10.1007/s00208-005-0640-8",1],[2,0.2797,-0.5123,"Numerical characterization of the Kähler cone of a compact Kähler manifold",2004,"https://doi.org/10.4007/annals.2004.159.1247",7],[2,-0.7296,-0.2919,"Infinite loop space theory",1977,"https://doi.org/10.1090/s0002-9904-1977-14318-8",1],[2,-0.3647,0.4799,"Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model",2003,"https://doi.org/10.1007/s00220-002-0773-5",13],[2,0.4789,-0.4504,"Linear Shafarevich conjecture",2012,"https://doi.org/10.4007/annals.2012.176.3.4",2],[2,-0.3051,0.7204,"The energy density in the planar Ising model",2013,"https://doi.org/10.1007/s11511-013-0102-1",1],[2,-0.3052,0.7712,"SLE coordinate changes",2005,"https://arxiv.org/abs/math/0505368",1],[2,0.4396,0.5689,"A Probabilistic Technique for Finding Almost-Periods of Convolutions",2010,"https://doi.org/10.1007/s00039-010-0101-8",1],[2,0.6472,0.0509,"ON THE HARDNESS OF APPROXIMATING MULTICUT AND SPARSEST-CUT",2006,"https://doi.org/10.1007/s00037-006-0210-9",2],[2,0.2793,-0.7361,"Gelfand pairs and strong transitivity for Euclidean buildings",2014,"https://doi.org/10.1017/etds.2013.102",1],[2,0.3379,0.6732,"Symmetric bilinear forms over finite fields with applications to coding theory",2015,"https://doi.org/10.1007/s10801-015-0595-0",1],[2,-0.0942,-0.2924,"On the Volume Elements on a Manifold",1965,"https://doi.org/10.1090/s0002-9947-1965-0182927-5",6],[2,0.2746,0.5869,"On the independence number of sparse graphs",1995,"https://doi.org/10.1002/rsa.3240070305",2],[2,-0.7301,-0.3258,"A counterexample to the strong version of Freedman’s conjecture",2008,"https://doi.org/10.4007/annals.2008.168.675",1],[2,-0.2093,0.6267,"Random Permutations using Switching Networks",2015,"https://doi.org/10.1145/2746539.2746629",5],[2,0.3833,-0.453,"Singular hermitian metrics on positive line bundles",1992,"https://doi.org/10.1007/bfb0094512",4],[2,-0.8639,-0.1306,"Large deviations and stochastic calculus for large random matrices",2004,"https://doi.org/10.1214/154957804100000033",1],[2,0.7606,0.1,"Rapidly Mixing Markov Chains for Sampling Contingency Tables with a Constant Number of Rows",2006,"https://doi.org/10.1137/s0097539703434243",1],[2,0.6972,0.3184,"Approximating Edit Distance Efficiently",2004,"https://doi.org/10.1109/focs.2004.14",1],[2,-0.3515,0.5619,"Invertibility of symmetric random matrices",2012,"https://doi.org/10.1002/rsa.20429",2],[2,-0.3037,-0.6643,"Parametrized ring-spectra and the nearby Lagrangian conjecture",2013,"https://doi.org/10.2140/gt.2013.17.639",1],[2,-0.5039,-0.6508,"Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds",2014,"https://doi.org/10.1214/14-aop907",1],[2,-0.8193,0.2283,"Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems",2011,"https://doi.org/10.1007/s00220-011-1380-0",1],[2,0.1324,-0.6313,"Distribution of periodic torus orbits on homogeneous spaces",2009,"https://doi.org/10.1215/00127094-2009-023",3],[2,-0.3512,0.7209,"Random growth in a tessellation",1973,"https://doi.org/10.1017/s0305004100077288",1],[2,-0.6497,0.4103,"Uncertainty Principles and Vector Quantization",2010,"https://doi.org/10.1109/tit.2010.2048458",1],[2,0.5017,0.6872,"XXIV.—Sets of Integers Containing not more than a Given Number of Terms in Arithmetical Progression",1961,"https://doi.org/10.1017/s0080454100017726",1],[2,0.5099,0.6903,"A nilpotent IP polynomial multiple recurrence theorem",2014,"https://doi.org/10.1007/s11854-014-0018-5",1],[2,-0.788,-0.0205,"Flat dimension growth for C∗ -algebras",2006,"https://doi.org/10.1016/j.jfa.2006.01.010",1],[2,-0.6147,0.4939,"Problèmes combinatoires de commutation et réarrangements",1969,"https://doi.org/10.1007/bfb0079468",1],[2,0.8014,0.0469,"Subexponential Algorithms for Unique Games and Related Problems",2010,"https://doi.org/10.1109/focs.2010.59",1],[2,0.6315,-0.5478,"Le nombre de Lefschetz d'une monodromie",1973,"https://doi.org/10.1016/1385-7258(73)90044-9",1],[2,0.0555,-0.7875,"Big line bundles over arithmetic varieties",2008,"https://doi.org/10.1007/s00222-008-0127-9",1],[2,0.7274,-0.0605,"Covering Spheres with Spheres",2007,"https://doi.org/10.1007/s00454-007-9000-7",1],[2,0.4682,0.4699,"On the Persistence and Global Stability of Mass-Action Systems",2012,"https://doi.org/10.1137/110840509",2],[2,-0.6247,0.2115,"On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains",2009,"https://doi.org/10.1007/s00209-009-0517-8",6],[2,0.4442,-0.4737,"Abelianity Conjecture for Special Compact Kähler 3-Folds",2013,"https://doi.org/10.1017/s0013091513000849",2],[2,0.1848,-0.84,"On sets invariant under the action of the diagonal group",2001,"https://doi.org/10.1017/s0143385701001717",1],[2,0.5762,-0.2908,"On the multilinear restriction and Kakeya conjectures",2006,"https://doi.org/10.1007/s11511-006-0006-4",7],[2,-0.5907,-0.2648,"Connection of the dual space of a group with the structure of its close subgroups",1967,"https://doi.org/10.1007/bf01075866",2],[2,0.1911,-0.699,"On the distribution of large prime divisors",1972,"https://doi.org/10.1007/bf02018667",1],[2,-0.5886,0.274,"Inequality with Applications in Statistical Mechanics",1965,"https://doi.org/10.1063/1.1704727",2],[2,-0.5996,0.2911,"Lower Bounds for the Helmholtz Function",1965,"https://doi.org/10.1103/physrev.137.b1127",2],[2,0.4569,-0.7334,"Okounkov bodies of filtered linear series",2011,"https://doi.org/10.1112/s0010437x11005355",1],[2,-0.4694,0.7227,"Processes on Unimodular Random Networks",2007,"https://doi.org/10.1214/ejp.v12-463",1],[2,0.4272,0.6734,"Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems",1998,"https://doi.org/10.1145/290179.290180",1],[2,0.5603,0.3325,"On the subsystems of topological Markov chains",1982,"https://doi.org/10.1017/s0143385700001516",3],[2,-0.1296,0.7431,"Small Degree Representations of Finite Chevalley Groups in Defining Characteristic",2001,"https://doi.org/10.1112/s1461157000000838",1],[2,-0.6284,0.1489,"Almost optimal lower bounds for small depth circuits",1986,"https://doi.org/10.1145/12130.12132",2],[2,-0.2485,0.5876,"Critical exponents for two-dimensional percolation",2001,"https://doi.org/10.4310/mrl.2001.v8.n6.a4",2],[2,-0.395,0.6124,"Information Inequalities for Joint Distributions, With Interpretations and Applications",2010,"https://doi.org/10.1109/tit.2010.2046253",1],[2,-0.2466,0.7537,"A refinement of Simon's correlation inequality",1980,"https://doi.org/10.1007/bf01982712",1],[2,-0.8309,-0.2398,"KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP",2014,"https://doi.org/10.1017/fms.2014.21",1],[2,0.4063,-0.7396,"On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles",2015,"https://doi.org/10.1215/21562261-3089091",1],[2,-0.0743,0.7622,"On Sumsets and Convex Hull",2014,"https://doi.org/10.1007/s00454-014-9633-2",1],[2,0.8338,0.0425,"Near-optimal algorithms for unique games",2006,"https://doi.org/10.1145/1132516.1132547",1],[2,0.0096,-0.7464,"The Möbius function is strongly orthogonal to nilsequences",2012,"https://doi.org/10.4007/annals.2012.175.2.3",1],[2,0.3975,-0.5247,"The intrinsic normal cone",1997,"https://doi.org/10.1007/s002220050136",2],[2,0.3925,-0.5217,"Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes",2013,"https://doi.org/10.1515/crelle-2013-0037",2],[2,-0.6202,-0.2096,"On the nilpotence order of β1",1994,"https://doi.org/10.1017/s0305004100072248",2],[2,0.3036,0.6444,"Ramsey numbers of degenerate graphs",2017,"https://doi.org/10.4007/annals.2017.185.3.2",1],[2,0.0089,-0.6579,"Moments and distribution of central $$L$$ L -values of quadratic twists of elliptic curves",2015,"https://doi.org/10.1007/s00222-015-0582-z",2],[2,-0.7757,0.2768,"Area-charge inequality for black holes",2012,"https://doi.org/10.1088/0264-9381/29/3/035013",1],[2,0.1596,0.8587,"On cycle—Complete graph ramsey numbers",1978,"https://doi.org/10.1002/jgt.3190020107",1],[2,-0.6404,-0.0126,"Small cancellation labellings of some infinite graphs and applications",2020,"https://doi.org/10.4310/acta.2020.v225.n1.a3",3],[2,-0.7371,0.3637,"Mean Entropy of States in Quantum-Statistical Mechanics",1968,"https://doi.org/10.1063/1.1664685",1],[2,-0.3355,-0.6431,"Lectures on Holomorphic Curves in Symplectic and Contact Geometry",2010,"https://arxiv.org/abs/1011.1690",1],[2,-0.6422,0.1753,"Algebraic approach to the study of zero modes of Haldane pseudopotentials",2015,"https://doi.org/10.1103/physrevb.91.085103",2],[2,0.4256,0.673,"Extremal problems in discrete geometry",1983,"https://doi.org/10.1007/bf02579194",1],[2,0.7531,-0.0574,"Poisson approximation for large deviations",1990,"https://doi.org/10.1002/rsa.3240010209",1],[2,0.3011,0.8163,"Transitive sets and cyclic quadrilaterals",2011,"https://doi.org/10.4310/joc.2011.v2.n3.a6",1],[2,0.6756,-0.5389,"Derived Categories of Cubic Fourfolds",2009,"https://doi.org/10.1007/978-0-8176-4934-0_9",1],[2,0.3742,0.622,"An upper bound on the number of planarK-sets",1992,"https://doi.org/10.1007/bf02187829",1],[2,0.6269,-0.1232,"On the shape of a convex body with respect to its second projection body",2015,"https://doi.org/10.1016/j.aam.2015.03.004",2],[2,0.7101,0.31,"Sampling Regular Graphs and a Peer-to-Peer Network",2006,"https://doi.org/10.1017/s0963548306007978",1],[2,-0.2474,0.5966,"Conformal invariance of spin correlations in~the~planar Ising model",2014,"https://doi.org/10.4007/annals.2015.181.3.5",3],[2,0.0283,-0.7567,"Quadratic twists of elliptic curves",2014,"https://doi.org/10.1112/plms/pdu059",1],[2,-0.8047,0.2032,"Cryptographic distinguishability measures for quantum-mechanical states",1999,"https://doi.org/10.1109/18.761271",1],[2,-0.0154,0.7121,"Rips–Segev torsion-free groups without the unique product property",2015,"https://doi.org/10.1016/j.jalgebra.2015.05.004",1],[2,-0.7163,-0.0444,"Some analysis of amalgamated free products of von Neumann algebras in the non-tracial setting",2013,"https://doi.org/10.1112/jlms/jds081",1],[2,-0.4053,-0.6701,"Negative sectional curvature and the product complex structure",2006,"https://doi.org/10.4310/mrl.2006.v13.n3.a13",1],[2,-0.6566,-0.3341,"Connections withL P bounds on curvature",1982,"https://doi.org/10.1007/bf01947069",1],[2,0.664,-0.5068,"Sur une conjecture de Mukai",2003,"https://doi.org/10.1007/s00014-003-0765-x",1],[2,-0.439,0.7459,"Convergence in law in the second Wiener/Wigner chaos",2012,"https://doi.org/10.1214/ecp.v17-2023",1],[2,-0.2241,0.6003,"Minkowski content and natural parameterization for the Schramm–Loewner evolution",2015,"https://doi.org/10.1214/13-aop874",3],[2,0.4446,0.7129,"Distinct Distances in the Plane",2001,"https://doi.org/10.1007/s00454-001-0009-z",1],[2,0.5718,0.5938,"A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics",2013,"https://doi.org/10.3842/sigma.2013.025",1],[2,-0.5106,0.5121,"Remarks on the equational theory of non-normalizing pure type systems",2003,"https://doi.org/10.1017/s0956796803004726",1],[2,0.2563,-0.8346,"An Apéry-like Difference Equation for Catalan's Constant",2003,"https://doi.org/10.37236/1707",1],[2,0.5912,-0.2947,"Some remarks on the Kakeya problem",1971,"https://doi.org/10.1017/s0305004100046867",2],[2,-0.7115,-0.3474,"The L2–(co)homology of groups with hierarchies",2016,"https://doi.org/10.2140/agt.2016.16.2549",1],[2,-0.7288,-0.034,"Strong rigidity ofQ-rank 1 lattices",1973,"https://doi.org/10.1007/bf01418789",1],[2,0.6168,0.3844,"On the complexity of the parity argument and other inefficient proofs of existence",1994,"https://doi.org/10.1016/s0022-0000(05)80063-7",1],[2,-0.5913,0.2848,"Singular continuous spectrum under rank one perturbations and localization for random hamiltonians",1986,"https://doi.org/10.1002/cpa.3160390105",2],[2,-0.6187,0.2022,"Definition and stability of Lorentzian manifolds with distributional curvature",2007,"https://doi.org/10.4171/pm/1794",2],[2,-0.1526,0.6328,"Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \\le q \\le 4}$$ 1 ≤ q ≤ 4",2016,"https://doi.org/10.1007/s00220-016-2759-8",2],[2,-0.3639,-0.5603,"Refined Kato Inequalities and Conformal Weights in Riemannian Geometry",2000,"https://doi.org/10.1006/jfan.2000.3563",2],[2,-0.2821,-0.6048,"The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold",1983,"https://doi.org/10.1007/bf01393824",5],[2,-0.6376,0.3798,"Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs",2012,"https://doi.org/10.4007/annals.2012.176.1.3",1],[2,0.8634,-0.1062,"From the Ginzburg-Landau Model to Vortex Lattice Problems",2012,"https://doi.org/10.1007/s00220-012-1508-x",1],[2,0.6382,0.1258,"Computing with a full memory",2014,"https://doi.org/10.1145/2591796.2591874",4],[2,-0.313,0.6731,"Ballistic Phase of Self-Interacting Random Walks",2008,"https://doi.org/10.1093/acprof:oso/9780199239252.003.0003",1],[2,-0.782,0.0873,"On renormalization group flows in four dimensions",2011,"https://doi.org/10.1007/jhep12(2011)099",1],[2,-0.3512,0.5338,"Bulk eigenvalue statistics for random regular graphs",2017,"https://doi.org/10.1214/16-aop1145",2],[2,0.4023,-0.7352,"Differentiability of volumes of divisors and a problem of Teissier",2008,"https://doi.org/10.1090/s1056-3911-08-00490-6",1],[2,-0.8294,-0.2426,"Families of $p$-divisible groups with constant Newton polygon",2002,"https://doi.org/10.4171/dm/123",1],[2,-0.6763,0.1872,"Incompressibility Estimates for the Laughlin Phase",2014,"https://doi.org/10.1007/s00220-014-2232-5",1],[2,-0.8444,-0.1804,"Consistency of a counterexample to Naimark's problem",2004,"https://doi.org/10.1073/pnas.0401489101",1],[2,0.0577,-0.6604,"The rational points of a definable set",2006,"https://doi.org/10.1215/s0012-7094-06-13336-7",3],[2,0.6283,0.2371,"Efficient reconstruction of sequences",2001,"https://doi.org/10.1109/18.904499",2],[2,0.3703,-0.6309,"Formulas for multiplier ideals on singular varieties",2006,"https://doi.org/10.1353/ajm.2006.0049",1],[2,0.626,-0.4913,"Symplectic geometry of Frobenius structures",2004,"https://doi.org/10.1007/978-3-322-80236-1_4",1],[2,0.3312,0.5605,"An extremal function for contractions of graphs",1984,"https://doi.org/10.1017/s0305004100061521",2],[2,0.8396,0.1908,"Faster integer multiplication",2007,"https://doi.org/10.1145/1250790.1250800",1],[2,0.0379,-0.4764,"Nilpotent connections and the monodromy theorem : applications of a result of Turrittin",1970,"https://doi.org/10.1007/bf02684688",5],[2,0.8448,-0.0916,"The log-Brunn–Minkowski inequality",2012,"https://doi.org/10.1016/j.aim.2012.07.015",1],[2,-0.6476,0.4531,"Division Rings of Fractions for Group Rings",1970,"https://doi.org/10.1002/cpa.3160230205",1],[2,-0.2167,-0.8115,"Carleman estimates and inverse problems for Dirac operators",2008,"https://doi.org/10.1007/s00208-008-0301-9",1],[2,-0.7844,0.279,"Schauder estimate for solutions of Poisson’s equation with Neumann boundary condition",2015,"https://doi.org/10.4171/lem/60-3/4-9",1],[2,-0.7771,-0.0281,"Projective Modules over Higher-Dimensional Non-Commutative Tori",1988,"https://doi.org/10.4153/cjm-1988-012-9",1],[2,0.0578,0.8078,"Positivity of intersection multiplicity over a two-dimensional base",2018,"https://doi.org/10.1016/j.jpaa.2018.07.008",1],[2,-0.3627,0.4382,"The Parisi Formula has a Unique Minimizer",2014,"https://doi.org/10.1007/s00220-014-2254-z",5],[2,0.4649,-0.6966,"Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants",2009,"https://doi.org/10.4153/cmb-2010-017-8",1],[2,-0.7393,0.2236,"The convolution inequality for entropy powers",1965,"https://doi.org/10.1109/tit.1965.1053768",1],[2,0.5224,-0.699,"Finite-Dimensional Motives and the Conjectures of Beilinson and Murre",2003,"https://doi.org/10.1023/b:kthe.0000019787.69435.89",1],[2,-0.5213,-0.6035,"Regularity of stable minimal hypersurfaces",1981,"https://doi.org/10.1002/cpa.3160340603",1],[2,-0.4874,-0.5645,"An Extension Problem Related to the Fractional Laplacian",2007,"https://doi.org/10.1080/03605300600987306",1],[2,-0.0935,0.7574,"Homotopy idempotents on manifolds and Bass' conjectures",2007,"https://doi.org/10.2140/gtm.2007.10.41",1],[2,0.7291,-0.1227,"Non-positive Curvature and the Planar Embedding Conjecture",2013,"https://doi.org/10.1109/focs.2013.27",1],[2,0.6126,0.185,"Equivalence in Finite-Variable Logics is Complete for Polynomial Time",1999,"https://doi.org/10.1007/s004939970004",4],[2,0.1074,-0.7643,"On a Theorem of Siegel",1951,"https://doi.org/10.4099/jjm1924.21.0_163",1],[2,0.6304,-0.0766,"The geometry of graphs and some of its algorithmic applications",1995,"https://doi.org/10.1007/bf01200757",6],[2,0.3825,-0.6766,"Minimizing normalized volumes of valuations",2015,"https://arxiv.org/abs/1511.08164",1],[2,-0.7344,0.1498,"Perfect Parallel Repetition Theorem for Quantum Xor Proof Systems",2008,"https://doi.org/10.1007/s00037-008-0250-4",1],[2,0.6771,-0.2855,"Removability, rigidity of circle domains and Koebe's conjecture",2016,"https://doi.org/10.1016/j.aim.2016.08.039",1],[2,0.6456,-0.5119,"Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields",2018,"https://doi.org/10.1112/plms.12119",1],[2,0.4735,-0.5466,"Countability of the Douady Space of a Complex Space",1979,"https://doi.org/10.4099/math1924.5.431",1],[2,0.1895,0.2066,"An optimal lower bound on the number of variables for graph identification",1992,"https://doi.org/10.1007/bf01305232",6],[2,-0.7419,0.1914,"Local gap threshold for frustration-free spin systems",2016,"https://doi.org/10.1063/1.4962337",1],[2,0.4725,-0.6486,"Relations on Mgn via equivariant Gromov-Witten theory of P1",2017,"https://doi.org/10.14231/ag-2017-018",1],[2,-0.107,0.814,"There are genus one curves of every index over every infinite, finitely generated field",2016,"https://doi.org/10.1515/crelle-2016-0037",1],[2,-0.431,-0.4736,"Large Riemannian manifolds",1986,"https://doi.org/10.1007/bfb0075649",3],[2,0.6512,-0.0127,"Lower and upper bounds for chord power integrals of ellipsoids",2014,"https://doi.org/10.12988/ams.2014.411913",2],[2,0.3032,-0.772,"Generic Base Change, Artin's Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks",2015,"https://arxiv.org/abs/1511.01393",1],[2,0.3095,0.7781,"Noncommutative Schur functions, switchboards, and Schur positivity",2016,"https://doi.org/10.1007/s00029-016-0253-y",1],[2,0.1893,0.7644,"The anti-field-descent method",2015,"https://doi.org/10.1016/j.jcta.2015.11.005",1],[2,-0.7449,-0.2583,"Uniqueness of $$\\textit{BP} \\langle {n} \\rangle $$",2015,"https://doi.org/10.1007/s40062-015-0120-0",1],[2,-0.414,-0.5169,"Nonlinear diffusion equations and curvature conditions in metric measure spaces",2015,"https://doi.org/10.1090/memo/1196",3],[2,0.2847,-0.6572,"Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation",2016,"https://doi.org/10.1142/s1793042117500324",1],[2,-0.3172,0.5581,"Free energy in the mixed $p$-spin models with vector spins",2018,"https://doi.org/10.1214/17-aop1194",2],[2,0.6323,0.1537,"Dense Subset Sum May Be the Hardest",2015,"https://doi.org/10.4230/lipics.stacs.2016.13",2],[2,0.7505,-0.2756,"Intuitive dyadic calculus: The basics",2018,"https://doi.org/10.1016/j.exmath.2018.01.001",1],[2,-0.7096,-0.2363,"Affine weakly regular tensor triangulated categories",2016,"https://doi.org/10.2140/pjm.2016.285.93",1],[2,-0.1765,-0.8451,"Regularity up to the Crack-Tip for the Mumford-Shah problem",2015,"https://arxiv.org/abs/1512.05094",1],[2,-0.5224,-0.6107,"Morse index of multiplicity one min-max minimal hypersurfaces",2020,"https://doi.org/10.1016/j.aim.2020.107527",1],[2,-0.6114,0.2432,"A new look at Thomas–Fermi theory",2015,"https://doi.org/10.1080/00268976.2015.1130273",3],[2,-0.2751,0.6446,"Convergence of Mayer and Virial expansions and the Penrose tree-graph identity",2016,"https://doi.org/10.1007/s11005-016-0918-7",1],[2,-0.1895,0.7881,"Critical Ising interfaces in multiply-connected domains",2015,"https://doi.org/10.1007/s00440-015-0685-x",1],[2,-0.2349,0.599,"Scaling limits for the critical Fortuin-Kastelyn model on a random planar map III: finite volume case",2015,"https://arxiv.org/abs/1510.06346",3],[2,-0.3631,0.6759,"The Legendre Structure of the Parisi Formula",2016,"https://doi.org/10.1007/s00220-016-2673-0",1],[2,0.6145,-0.1763,"On the Erdös similarity problem",2015,"https://doi.org/10.48550/arxiv.1512.05607",2],[2,-0.5266,-0.4096,"Lenses and asymptotic midpoint uniform convexity",2015,"https://doi.org/10.1016/j.jmaa.2015.11.061",7],[2,0.1366,-0.6316,"Arithmetic of double torus quotients and the distribution of periodic torus orbits",2019,"https://doi.org/10.1215/00127094-2019-0016",3],[2,-0.3237,0.7521,"Scaling limits for the threshold window: When does a monotone Boolean function flip its outcome?",2017,"https://doi.org/10.1214/16-aihp786",1],[2,0.7085,-0.1527,"Canonical growth conditions associated to ample line bundles",2018,"https://doi.org/10.1215/00127094-2017-0031",1],[2,0.3019,0.0526,"Parallel repetition: simplifications and the no-signaling case",2009,"https://doi.org/10.4086/toc.2009.v005a008",5],[2,-0.7307,-0.0281,"Groupes de whitehead de groupes algébriques simples sur un corps [d’après V. P. Platonov et al.]",1978,"https://doi.org/10.1007/bfb0070765",1],[2,-0.2014,0.6266,"Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition",2013,"https://doi.org/10.48550/arxiv.1311.2237",4],[2,-0.1295,0.7927,"An Erdős–Ko–Rado theorem for finite 2-transitive groups",2016,"https://doi.org/10.1016/j.ejc.2016.02.005",1],[2,-0.7727,0.1386,"Deterministic Communication vs. Partition Number",2015,"https://doi.org/10.1109/focs.2015.70",1],[2,0.4045,-0.6798,"Sasaki–Einstein metrics and K–stability",2019,"https://doi.org/10.2140/gt.2019.23.1339",1],[2,0.5652,-0.6205,"A vanishing theorem of Koll'ar-Ohsawa type",2015,"https://doi.org/10.48550/arxiv.1511.04222",1],[2,0.5968,0.3927,"Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities",2016,"https://doi.org/10.1111/rssb.12183",1],[2,-0.2527,0.6006,"Statistics of the Two-Dimensional Ferromagnet. Part I",1941,"https://doi.org/10.1103/physrev.60.252",2],[2,-0.2394,0.8381,"Statistics of Two-Dimensional Lattices with Four Components",1943,"https://doi.org/10.1103/physrev.64.178",1],[2,0.0257,0.756,"The Finitistic Dimension Conjectures — A Tale of 3.5 Decades",1995,"https://doi.org/10.1007/978-94-011-0443-2_41",1],[2,0.0561,-0.7121,"Modeles de neron et monodromie",1972,"https://doi.org/10.1007/bfb0068694",1],[2,-0.5788,0.2785,"Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet",1940,"https://doi.org/10.1103/physrev.58.1098",2],[2,-0.6461,0.502,"Les nœuds de dimensions supérieures",1965,"https://doi.org/10.24033/bsmf.1624",1],[2,0.8392,-0.096,"MORE ON LOGARITHMIC SUMS OF CONVEX BODIES",2016,"https://doi.org/10.1112/s0025579316000061",1],[2,0.3969,-0.4969,"Abundance for varieties with many differential forms",2018,"https://doi.org/10.46298/epiga.2018.volume2.3867",9],[2,-0.6375,0.16,"Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model",1983,"https://doi.org/10.1016/0375-9601(83)90631-x",2],[2,-0.6957,0.2918,"Self-Consistent Equations Including Exchange and Correlation Effects",1965,"https://doi.org/10.1103/physrev.140.a1133",1],[2,-0.595,0.4623,"New topological methods to solve equations over groups",2017,"https://doi.org/10.2140/agt.2017.17.331",1],[2,0.7656,0.1047,"Hodge theory for combinatorial geometries",2018,"https://doi.org/10.4007/annals.2018.188.2.1",1],[2,-0.5703,0.6559,"Shelah's eventual categoricity conjecture in universal classes: Part I",2017,"https://doi.org/10.1016/j.apal.2017.03.003",1],[2,-0.29,0.6487,"Two-sided radial SLE and length-biased chordal SLE",2016,"https://arxiv.org/abs/1601.03374",1],[2,0.3732,0.6341,"Nullspace Embeddings for Outerplanar Graphs",2017,"https://doi.org/10.1007/978-3-319-44479-6_23",1],[2,0.3212,0.6831,"Short proofs of some extremal results II",2016,"https://doi.org/10.1016/j.jctb.2016.03.005",1],[2,0.5876,-0.6368,"Fundamental Group and Pluridifferentials on Compact Kähler Manifolds",2016,"https://doi.org/10.17323/1609-4514-2016-16-4-651-658",1],[2,0.4558,0.4623,"Angular billiard and algebraic Birkhoff conjecture",2017,"https://doi.org/10.1016/j.aim.2017.04.001",2],[2,-0.7512,0.0919,"Scale invariance, conformality, and generalized free fields",2016,"https://doi.org/10.1007/jhep02(2016)099",1],[2,-0.8211,0.2872,"Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices",2016,"https://doi.org/10.1088/0264-9381/33/3/035009",1],[2,-0.1544,0.6331,"Conformal Invariance of Boundary Touching Loops of FK Ising Model",2019,"https://doi.org/10.1007/s00220-019-03437-0",3],[2,-0.5039,0.5756,"Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes",2018,"https://doi.org/10.1002/malq.201500068",1],[2,0.309,-0.7794,"Globalization of supercuspidal representations over function fields and applications",2018,"https://doi.org/10.4171/jems/825",1],[2,-0.146,0.8247,"Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups",2015,"https://doi.org/10.4153/cjm-2015-042-5",1],[2,-0.6379,0.4441,"AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM",2016,"https://doi.org/10.1017/fmp.2015.8",1],[2,-0.092,0.7806,"Deriving DG categories",1994,"https://doi.org/10.24033/asens.1689",1],[2,-0.0663,0.6444,"On McKay's propagation theorem for the Foulkes conjecture",2015,"https://arxiv.org/abs/1509.04957",2],[2,0.588,0.6455,"All, most, some differentiable dynamical systems",2007,"https://doi.org/10.4171/022-3/5",1],[2,0.8121,0.3053,"An improved upper bound for the most informative boolean function conjecture",2016,"https://doi.org/10.1109/isit.2016.7541349",1],[2,-0.6831,0.3302,"Cubic ideal ferromagnets at low temperature and weak magnetic field",2017,"https://doi.org/10.1016/j.physb.2017.01.019",1],[2,-0.3124,0.7744,"A probabilistic approach to block sizes in random maps",2018,"https://doi.org/10.30757/alea.v16-01",1],[2,0.3041,-0.5631,"Orbifold generic semi-positivity: an application to families of canonically polarized manifolds",2015,"https://doi.org/10.5802/aif.2945",4],[2,0.6683,-0.5441,"Rigidity of rational homogeneous spaces",2007,"https://doi.org/10.4171/022-2/28",1],[2,-0.6087,-0.2007,"Sur les groupes de Lie formels à un paramètre",1955,"https://doi.org/10.24033/bsmf.1462",2],[2,0.6677,-0.5428,"Numerical characterisation of quadrics",2017,"https://doi.org/10.14231/ag-2017-006",1],[2,-0.65,0.3176,"A Stochastic Geometric Approach to Quantum Spin Systems",1994,"https://doi.org/10.1007/978-94-015-8326-8_14",1],[2,0.0445,-0.7343,"On the rigid cohomology of certain Shimura varieties",2016,"https://doi.org/10.1186/s40687-016-0078-5",1],[2,-0.7927,0.1037,"A dynamic programming approach to the Parisi functional",2015,"https://doi.org/10.1090/proc/12968",1],[2,-0.649,-0.022,"Deformation and rigidity for group actions and von Neumann algebras",2007,"https://doi.org/10.4171/022-1/18",2],[2,-0.7555,-0.0174,"The C∗-algebra of a minimal homeomorphism of zero mean dimension",2017,"https://doi.org/10.1215/00127094-2017-0033",1],[2,-0.2132,0.6148,"Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture",1971,"https://doi.org/10.1103/physrevb.4.3174",3],[2,-0.2881,0.7038,"Scaling limits of random graphs from subcritical classes",2016,"https://doi.org/10.1214/15-aop1048",1],[2,-0.2096,0.63,"The Benes Network is q*(q-1)/2n-Almost q-set-wise Independent",2014,"https://doi.org/10.4230/lipics.fsttcs.2014.327",2],[2,-0.2281,0.754,"On the ground state energy of the delta-function Fermi gas",2016,"https://doi.org/10.1063/1.4964252",1],[2,-0.3083,0.7531,"Influence in product spaces",2016,"https://doi.org/10.1017/apr.2016.46",1],[2,-0.7623,0.2112,"The Evaluation of the Collision Matrix",1950,"https://doi.org/10.1103/physrev.80.268",1],[2,-0.1277,-0.6405,"On the bi-Sobolev planar homeomorphisms and their approximation",2016,"https://doi.org/10.1016/j.na.2016.07.006",2],[2,-0.5789,0.412,"Cubulating hyperbolic free-by-cyclic groups: The irreducible case",2016,"https://doi.org/10.1215/00127094-3450752",1],[2,0.1746,-0.6145,"Smooth numbers: computational number theory and beyond",2008,"https://doi.org/10.1017/9781139049801.010",2],[2,0.2437,-0.7482,"Depth-graded motivic multiple zeta values",2021,"https://doi.org/10.1112/s0010437x20007654",1],[2,-0.3377,-0.7363,"Spaces of PL Manifolds and Categories of Simple Maps (AM-186)",2013,"https://doi.org/10.1515/9781400846528",1],[2,0.8448,0.2172,"Efficient Dissection of Composite Problems, with Applications to Cryptanalysis, Knapsacks, and Combinatorial Search Problems",2012,"https://doi.org/10.1007/978-3-642-32009-5_42",1],[2,0.5121,-0.3993,"Connexité rationnelle des variétés de Fano",1992,"https://doi.org/10.24033/asens.1658",3],[2,-0.307,0.6436,"Total positivity in Markov structures",2017,"https://doi.org/10.1214/16-aos1478",1],[2,-0.2739,0.5799,"Bigeodesics in First-Passage Percolation",2016,"https://doi.org/10.1007/s00220-016-2743-3",2],[2,-0.6251,-0.2163,"Questions de rationalité des diviseurs en géométrie algébrique",1958,"https://doi.org/10.24033/bsmf.1503",2],[2,-0.2507,0.616,"Uniformization of Riemann Surfaces: Revisiting a Hundred-year-old Theorem",2016,"https://doi.org/10.4171/145",2],[2,0.0495,-0.7483,"Problème de Mordell-Lang modulo certaines sous-variétés abéliennes",2003,"https://doi.org/10.1155/s1073792803130164",1],[2,0.2609,-0.2176,"Le théorème de Riemann-Roch",1958,"https://doi.org/10.24033/bsmf.1500",5],[2,-0.7165,0.2502,"On the Penrose inequality along null hypersurfaces",2016,"https://doi.org/10.1088/0264-9381/33/11/115019",1],[2,0.7889,0.0539,"PCPs via the low-degree long code and hardness for constrained hypergraph coloring",2015,"https://doi.org/10.1007/s11856-015-1231-3",1],[2,0.7771,-0.1464,"Iterations of the projection body operator and a remark on Petty's conjectured projection inequality",2016,"https://doi.org/10.1016/j.jfa.2016.08.015",1],[2,0.2686,-0.7026,"The Langlands-Shahidi method over function fields: Ramanujan Conjecture and Riemann Hypothesis for the unitary groups",2015,"https://arxiv.org/abs/1507.03625",1],[2,-0.7337,0.4568,"Simple groups of dynamical origin",2017,"https://doi.org/10.1017/etds.2017.47",1],[2,-0.6501,0.0285,"Decomposable Approximations Revisited",2016,"https://doi.org/10.1007/978-3-319-39286-8_2",2],[2,-0.6618,0.4516,"Présentation des groupes de tresses purs et de certaines de leurs extensions",2015,"https://arxiv.org/abs/1511.08731",1],[2,0.4543,-0.5495,"An optimal extension theorem for 1-forms and the Lipman–Zariski conjecture",2014,"https://doi.org/10.4171/dm/465",1],[2,0.3561,0.7806,"The asymptotic behavior of the correspondence chromatic number",2016,"https://doi.org/10.1016/j.disc.2016.05.012",1],[2,-0.4299,-0.6176,"$$C^{2,\\alpha }$$ C 2 , α regularities and estimates for nonlinear elliptic and parabolic equations in geometry",2016,"https://doi.org/10.1007/s00526-015-0948-5",1],[2,-0.4417,-0.7383,"Bounded holomorphic functions on negatively curved Kähler manifolds of dimension $\\ge 3$",2015,"https://doi.org/10.48550/arxiv.1512.00368",1],[2,0.437,-0.4819,"On a dynamical version of a theorem of Rosenlicht",2017,"https://doi.org/10.2422/2036-2145.201501_005",2],[2,-0.4663,-0.7361,"Spectra of Lens Spaces from 1-Norm Spectra of Congruence Lattices",2015,"https://doi.org/10.1093/imrn/rnv159",1],[2,0.5051,-0.4012,"Comparison theorems for Gromov–Witten invariants of smooth pairs and of degenerations",2014,"https://doi.org/10.5802/aif.2892",2],[2,-0.3192,0.6676,"Currents in the dilute $O(n=1)$ model",2015,"https://arxiv.org/abs/1510.02721",1],[2,-0.63,0.3889,"Presentations of topological full groups by generators and relations",2016,"https://doi.org/10.1016/j.jalgebra.2016.10.027",1],[2,-0.2814,0.6966,"Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation",2014,"https://doi.org/10.1007/s00220-014-2000-6",1],[2,-0.8098,-0.0156,"Mean dimension of $${\\mathbb{Z}^k}$$ Z k -actions",2016,"https://doi.org/10.1007/s00039-016-0372-9",1],[2,-0.5085,0.3576,"Absence of Diffusion in Certain Random Lattices",1958,"https://doi.org/10.1103/physrev.109.1492",3],[2,-0.3338,-0.7889,"Average $L^q$ growth and nodal sets of eigenfunctions of the Laplacian on surfaces",2015,"https://arxiv.org/abs/1510.02376",1],[2,-0.1393,-0.7177,"On the structure of \\mathscr A-free measures and applications",2016,"https://doi.org/10.4007/annals.2016.184.3.10",1],[2,0.0291,-0.6547,"Deformations of polarized automorphic Galois representations and adjoint Selmer groups",2016,"https://doi.org/10.1215/00127094-3477342",2],[2,0.8102,-0.0966,"A letter: The log-Brunn-Minkowski inequality for complex bodies",2014,"https://arxiv.org/abs/1412.5321",1],[2,-0.2379,0.6113,"Two Perspectives of the 2D Unit Area Quantum Sphere and Their Equivalence",2017,"https://doi.org/10.1007/s00220-017-2979-6",4],[2,-0.06,0.6542,"Symmetrizing tableaux and the 5th case of the Foulkes conjecture",2016,"https://doi.org/10.1016/j.jsc.2016.09.002",2],[2,-0.7055,-0.2457,"Interpolation $p$-adique",1964,"https://doi.org/10.24033/bsmf.1606",1],[2,0.6452,0.0858,"A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries",2001,"https://doi.org/10.1145/1008731.1008738",5],[2,-0.3115,-0.7334,"Prescribing the Nodal Set of the First Eigenfunction in Each Conformal Class",2016,"https://doi.org/10.1093/imrn/rnw126",1],[2,0.5108,0.4331,"Absolute continuity of Bernoulli convolutions for algebraic parameters",2018,"https://doi.org/10.1090/jams/916",2],[2,0.8512,-0.1828,"Monge-Ampère Operators, Lelong Numbers and Intersection Theory",1993,"https://doi.org/10.1007/978-1-4757-9771-8_4",1],[2,0.4418,-0.4838,"On the Cohomology of Pseudoeffective Line Bundles",2015,"https://doi.org/10.1007/978-3-319-20337-9_4",3],[2,-0.3531,0.7195,"50 Years of First-Passage Percolation",2017,"https://doi.org/10.1090/ulect/068",1],[2,-0.3653,0.6588,"Free energy in the Potts spin glass",2018,"https://doi.org/10.1214/17-aop1193",1],[2,-0.1798,-0.6873,"Strichartz Estimates and Moment Bounds for the Relativistic Vlasov–Maxwell System",2015,"https://doi.org/10.1007/s00205-015-0899-1",1],[2,-0.7665,-0.4031,"The Classification of the Finite Simple Groups, Number 3",1997,"https://doi.org/10.1090/surv/040.3",1],[2,-0.4942,-0.7034,"An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties",1984,"https://doi.org/10.24033/bsmf.2005",1],[2,-0.7788,-0.3533,"The Geometry and Topology of Coxeter Groups. (LMS-32)",2012,"https://doi.org/10.1515/9781400845941",1],[2,0.5499,0.3686,"Fast Learning Requires Good Memory: A Time-Space Lower Bound for Parity Learning",2016,"https://arxiv.org/abs/1602.05161",6],[2,-0.4639,-0.6773,"The Calabi complex and Killing sheaf cohomology",2016,"https://doi.org/10.1016/j.geomphys.2016.06.009",1],[2,0.4232,-0.5683,"On the Transcendental Part of the Motive of a Surface",2007,"https://doi.org/10.1017/cbo9781107325968.009",1],[2,-0.6846,0.4729,"The Homotopy Type of Artin Groups",1994,"https://doi.org/10.4310/mrl.1994.v1.n5.a5",1],[2,-0.3227,-0.7006,"A Floer fundamental group",2018,"https://doi.org/10.24033/asens.2366",1],[2,0.655,-0.4565,"An extension of a theorem of Wu–Yau",2017,"https://doi.org/10.4310/jdg/1508551226",1],[2,0.256,-0.657,"Rationality and holomorphy of Langlands–Shahidi L-functions over function fields",2018,"https://doi.org/10.1007/s00209-018-2100-7",1],[2,-0.6143,0.2074,"Spectral gaps for normally hyperbolic trapping",2016,"https://doi.org/10.5802/aif.3005",3],[2,0.2347,0.7799,"Random Steiner systems and bounded degree coboundary expanders of every dimension",2018,"https://doi.org/10.1007/s00454-018-9991-2",1],[2,0.7218,0.4337,"An Almost Cubic Lower Bound for Depth Three Arithmetic Circuits",2015,"https://doi.org/10.4230/lipics.ccc.2017.31",1],[2,0.4429,-0.4945,"Positivity of twisted relative pluricanonical bundles and their direct images",2017,"https://doi.org/10.1090/jag/702",7],[2,0.2662,0.6786,"Semistable Chow–Hall algebras of quivers and quantized Donaldson–Thomas invariants",2018,"https://doi.org/10.2140/ant.2018.12.1001",1],[2,0.465,-0.5919,"Counterexample to the Generalized Bogomolov–Gieseker Inequality for Threefolds",2016,"https://doi.org/10.1093/imrn/rnw122",1],[2,0.723,-0.0805,"$p$-Means of Convex Bodies.",1962,"https://doi.org/10.7146/math.scand.a-10510",1],[2,-0.8567,-0.1056,"Formes linéaires sur un anneau d'opérateurs",1953,"https://doi.org/10.24033/bsmf.1436",1],[2,0.2911,-0.8233,"Hermite-padé approximations to exponential functions and elementary estimates of the measure of irrationality of π",1982,"https://doi.org/10.1007/bfb0093516",1],[2,0.7399,-0.1603,"Intersections of translates of convex bodies",1956,"https://doi.org/10.7146/math.scand.a-10456",1],[2,0.7215,0.3007,"Sparse sums of squares on finite abelian groups and improved semidefinite lifts",2016,"https://doi.org/10.1007/s10107-015-0977-z",1],[2,0.3028,-0.7785,"A new approach to the geometric Satake equivalence",2014,"https://doi.org/10.4171/dm/445",1],[2,-0.7381,-0.2934,"Operad bimodules and composition products on André–Quillen filtrations of algebras",2017,"https://doi.org/10.2140/agt.2017.17.1105",1],[2,-0.195,-0.7783,"A particle approximation for the relativistic Vlasov-Maxwell dynamics",2016,"https://arxiv.org/abs/1602.07251",1],[2,-0.7819,-0.365,"Random collapsibility and 3-sphere recognition",2015,"https://arxiv.org/abs/1509.07607",1],[2,-0.6825,-0.3749,"Note on the construction of globular weak omega-groupoids from types, topological spaces etc",2016,"https://arxiv.org/abs/1602.07962",1],[2,-0.0892,-0.7886,"Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data",2016,"https://doi.org/10.1142/s021820251650024x",1],[2,0.7391,0.237,"A Competitive Ratio Approximation Scheme for the k-Server Problem in Fixed Finite Metrics",2013,"https://arxiv.org/abs/1303.2963",1],[2,0.6167,-0.2183,"Norm variation of ergodic averages with respect to two commuting transformations",2017,"https://doi.org/10.1017/etds.2017.48",2],[2,-0.8029,0.2651,"Simple proof of the detectability lemma and spectral gap amplification",2016,"https://doi.org/10.1103/physrevb.93.205142",1],[2,0.6057,-0.5896,"Quantum Langlands Correspondence",2016,"https://arxiv.org/abs/1601.05279",1],[2,-0.0641,0.6518,"EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO",2016,"https://doi.org/10.1017/s1446788716000331",2],[2,-0.3468,-0.7596,"Lagrangian isotopy of tori in $${S^2\\times S^2}$$ S 2 × S 2 and $${{\\mathbb{C}}P^2}$$ C P 2",2016,"https://doi.org/10.1007/s00039-016-0388-1",1],[2,0.2646,0.6737,"Scattering diagrams, Hall algebras and stability conditions",2017,"https://doi.org/10.14231/ag-2017-027",1],[2,0.3678,0.6299,"The Strong Arnold Property for 4-connected flat graphs",2017,"https://doi.org/10.1016/j.laa.2017.02.002",1],[2,-0.3262,0.8009,"Joint Scaling Limit of a Bipolar-Oriented Triangulation and Its Dual in the Peanosphere Sense",2026,"https://doi.org/10.1007/s10114-026-4359-7",1],[2,0.584,-0.3182,"Weighted restriction estimates using polynomial partitioning",2017,"https://doi.org/10.1112/plms.12046",2],[2,0.7032,0.2569,"Polynomial degree bounds for matrix semi-invariants",2017,"https://doi.org/10.1016/j.aim.2017.01.018",1],[2,-0.8212,-0.0181,"Minimal subshifts of arbitrary mean topological dimension",2016,"https://doi.org/10.3934/dcds.2017058",1],[2,-0.2982,0.6334,"An Introduction to Lévy and Feller Processes. Advanced Courses in Mathematics - CRM Barcelona 2014",2016,"https://arxiv.org/abs/1603.00251",1],[2,-0.3555,-0.5494,"Three circles theorems for harmonic functions",2016,"https://doi.org/10.1007/s00208-016-1366-5",2],[2,0.7244,0.4453,"Can Almost Everybody be Almost Happy?",2016,"https://doi.org/10.1145/2840728.2840731",1],[2,-0.6931,0.1922,"Magneto-roton theory of collective excitations in the fractional quantum Hall effect",1986,"https://doi.org/10.1103/physrevb.33.2481",1],[2,0.2855,0.7145,"A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra",2016,"https://arxiv.org/abs/1601.05498",1],[2,0.7248,0.1081,"Balanced matroids",1992,"https://doi.org/10.1145/129712.129716",1],[2,-0.6548,0.2801,"Asymptotic behaviour of the electron density and the Kohn–Sham potential in case of a Kohn–Sham HOMO nodal plane",2016,"https://doi.org/10.1080/00268976.2015.1137643",1],[2,0.3717,0.4387,"Color-coding",1995,"https://doi.org/10.1145/210332.210337",2],[2,0.3648,0.7327,"Dominating Sets in Projective Planes",2016,"https://doi.org/10.1002/jcd.21527",1],[2,0.2998,-0.0812,"Convex Optimization",2004,"https://doi.org/10.1017/cbo9780511804441",4],[2,-0.1892,0.623,"ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD",2017,"https://doi.org/10.1017/s1474748017000160",4],[2,-0.6711,0.2373,"On an isoperimetric-isodiametric inequality",2017,"https://doi.org/10.2140/apde.2017.10.95",1],[2,-0.3027,-0.6753,"Simple homotopy equivalence of nearby Lagrangians",2018,"https://doi.org/10.4310/acta.2018.v220.n2.a1",1],[2,-0.65,-0.5722,"Generalization of von Neumann's spectral sets and integral representation of operators",1999,"https://doi.org/10.24033/bsmf.2340",1],[2,0.3226,-0.5505,"Anti-pluricanonical systems on Fano varieties",2019,"https://doi.org/10.4007/annals.2019.190.2.1",5],[2,0.6547,-0.0807,"Some properties of optimal functions for sphere packing in dimensions 8 and 24",2016,"https://arxiv.org/abs/1603.04759",2],[2,0.7689,-0.0633,"Flavors of Translative Coverings",2018,"https://doi.org/10.1007/978-3-662-57413-3_14",1],[2,0.6428,-0.3141,"Restriction estimates using polynomial partitioning II",2018,"https://doi.org/10.4310/acta.2018.v221.n1.a3",1],[2,0.8499,-0.1091,"The sphere packing problem in dimension $8$",2017,"https://doi.org/10.4007/annals.2017.185.3.7",1],[2,0.8157,0.0706,"On the failure of concentration for the ℓ ∞-ball",2015,"https://doi.org/10.1007/s11856-015-1265-6",1],[2,-0.3613,-0.5379,"Convergence of Ricci flows with bounded scalar curvature",2018,"https://doi.org/10.4007/annals.2018.188.3.2",3],[2,-0.3695,0.5464,"Local asymptotics for the first intersection of two independent renewals",2016,"https://doi.org/10.1214/16-ejp17",2],[2,-0.0689,-0.7049,"Convergence of a Newton algorithm for semi-discrete optimal transport",2019,"https://doi.org/10.4171/jems/889",1],[2,0.4415,0.6854,"Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique",1989,"https://doi.org/10.24033/bsmf.2124",1],[2,-0.3368,-0.5683,"Métriques kählériennes et fibrés holomorphes",1979,"https://doi.org/10.24033/asens.1367",3],[2,-0.2001,-0.8143,"Global Well-Posedness of the Boltzmann Equation with Large Amplitude Initial Data",2017,"https://doi.org/10.1007/s00205-017-1107-2",1],[2,0.4598,0.6185,"Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors",2016,"https://doi.org/10.19086/da.850",1],[2,-0.424,-0.7058,"On Levi's Problem and the Imbedding of Real-Analytic Manifolds",1958,"https://doi.org/10.2307/1970257",1],[2,-0.4364,-0.5529,"Improved geodesics for the reduced curvature-dimension condition in branching metric spaces",2013,"https://doi.org/10.3934/dcds.2013.33.3043",1],[2,0.6221,-0.555,"The Invariance of Milnor's Number Implies Topological Triviality",1977,"https://doi.org/10.2307/2373829",1],[2,-0.1277,-0.6322,"Piecewise linear approximation of lipeomorphisms",1977,"https://doi.org/10.5186/aasfm.1977.0328",2],[2,-0.812,0.0005,"Nuclear C ∗ -Algebras and the Approximation Property",1978,"https://doi.org/10.2307/2373876",1],[2,-0.6571,-0.2758,"On the Conjecture of Iwasawa and Gleason",1953,"https://doi.org/10.2307/1969819",1],[2,-0.0682,0.7557,"On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring",1942,"https://doi.org/10.2307/2371691",1],[2,-0.8002,0.2879,"A Penrose-like Inequality for the Mass of Riemannian Asymptotically Flat Manifolds",1997,"https://doi.org/10.1007/s002200050159",1],[2,0.5782,0.4897,"Real analytic varieties with the finiteness property and complex abelian integrals",1984,"https://doi.org/10.1007/bf01077822",1],[2,-0.6305,-0.3356,"On Quillen's Conjecture for the p-Groups Complex",1993,"https://doi.org/10.2307/2946530",1],[2,0.4199,-0.7562,"Complexe dualisant et théorèmes de dualité en géométrie analytique complexe",1970,"https://doi.org/10.1007/bf02684652",1],[2,0.4666,0.4645,"The Billard Ball Problem on a Table With a Convex Boundary--An Illustrative Dynamical Problem",1950,"https://doi.org/10.2307/1969334",2],[2,0.4319,-0.4745,"Some Basic Theorems on Algebraic Groups",1956,"https://doi.org/10.2307/2372523",4],[2,0.7399,0.2079,"A quadratic bound for the determinant and permanent problem.",2004,"https://doi.org/10.1155/s1073792804142566",1],[2,-0.6006,-0.2039,"Free Differential Calculus. I: Derivation in the Free Group Ring",1953,"https://doi.org/10.2307/1969736",2],[2,-0.4888,-0.5915,"Regularity of optimal transport andcut locus: From nonsmooth analysis to geometry to smooth analysis",2011,"https://doi.org/10.3934/dcds.2011.30.559",1],[2,-0.8355,-0.0328,"Sur les représentations unitaires des groupes de Lie algébriques",1957,"https://doi.org/10.5802/aif.73",1],[2,0.3543,0.6139,"Existenzn-fach zusammenhängender Teilgraphen in Graphen genügend großer Kantendichte",1972,"https://doi.org/10.1007/bf02993903",1],[2,-0.2,0.7783,"Arrow-arrow correlations for the six-vertex model",2013,"https://doi.org/10.1103/physreve.88.030103",1],[2,0.8043,0.3056,"Bernstein form of a polynomial",1966,"https://doi.org/10.6028/jres.070b.005",1],[2,-0.7687,-0.0542,"On the Orthogonalization of Operator Representations",1955,"https://doi.org/10.2307/2372645",1],[2,0.8404,-0.1684,"On High Dimensional Maximal Functions Associated to Convex Bodies",1986,"https://doi.org/10.2307/2374532",1],[2,-0.1162,0.8417,"On Orders In Separable Algebras",1955,"https://doi.org/10.4153/cjm-1955-053-1",1],[2,-0.2367,0.724,"The Hook Graphs of the Symmetric Group",1954,"https://doi.org/10.4153/cjm-1954-030-1",1],[2,0.0058,-0.7084,"The congruent numbers have positive natural density",2016,"https://arxiv.org/abs/1603.08479",1],[2,-0.7501,-0.3732,"Mapping Hilbert Cube Manifolds to ANR's: A Solution of a Conjecture of Borsuk",1977,"https://doi.org/10.2307/1971155",1],[2,-0.3127,-0.0236,"Continuity of Solutions of Parabolic and Elliptic Equations",1958,"https://doi.org/10.2307/2372841",6],[2,0.5014,-0.6128,"Un théorème de dualité",1955,"https://doi.org/10.1007/bf02564268",1],[2,-0.6551,-0.0236,"Excising States of C*-Algebras",1986,"https://doi.org/10.4153/cjm-1986-063-7",3],[2,0.4092,-0.6313,"On Compact Complex Analytic Varieties",1949,"https://doi.org/10.2307/2372375",1],[2,0.0359,-0.7166,"Classification of Demushkin Groups",1967,"https://doi.org/10.4153/cjm-1967-007-8",1],[2,0.7042,-0.2654,"Erratum: Pointwise Convergence of Fourier Series",1997,"https://doi.org/10.2307/2951836",1],[2,-0.6562,0.511,"The Word Problem",1963,"https://doi.org/10.2307/1970200",1],[2,-0.1289,0.8069,"Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors",1913,"https://doi.org/10.2307/2370405",1],[2,0.0797,-0.8082,"Grothendieck at Pisa: crystals and Barsotti-Tate groups",2015,"https://doi.org/10.1007/978-88-7642-515-8_5",1],[2,0.4942,-0.4474,"The Lefschetz Theorem on Hyperplane Sections",1959,"https://doi.org/10.2307/1970034",2],[2,-0.109,0.8282,"Idempotents in Noetherian Group Rings",1973,"https://doi.org/10.4153/cjm-1973-037-6",1],[2,0.1476,-0.2716,"Arithmetic Subgroups of Algebraic Groups",1962,"https://doi.org/10.2307/1970210",4],[2,-0.8092,0.0995,"On the \"Edge of the Wedge\" Theorem",1963,"https://doi.org/10.4153/cjm-1963-015-4",1],[2,0.2804,-0.7234,"Eisenstein Series for Reductive Groups Over Global Function Fields II: The General Case",1982,"https://doi.org/10.4153/cjm-1982-080-6",1],[2,-0.7252,-0.2824,"On the Non-Existence of Elements of Hopf Invariant One",1960,"https://doi.org/10.2307/1970147",1],[2,0.0212,-0.0439,"Algebraic Groups Over Finite Fields",1956,"https://doi.org/10.2307/2372673",5],[2,0.6584,-0.0465,"An Inequality for Hyperbolic Polynomials",1959,"https://doi.org/10.1512/iumj.1959.8.58061",3],[2,-0.132,-0.6496,"Affine Structures in 3-Manifolds: V. The Triangulation Theorem and Hauptvermutung",1952,"https://doi.org/10.2307/1969769",2],[2,0.639,0.1604,"A Short Proof of the Factor Theorem for Finite Graphs",1954,"https://doi.org/10.4153/cjm-1954-033-3",2],[2,0.2375,-0.6165,"Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)",1983,"https://doi.org/10.2307/2374382",2],[2,-0.0312,0.7727,"Déterminant associé à une trace sur une algèbre de Banach",1984,"https://doi.org/10.5802/aif.958",1],[2,0.4424,-0.4864,"The Index of Elliptic Operators: II",1968,"https://doi.org/10.2307/1970716",5],[2,-0.4109,0.5777,"On the Vector Representations of Induced Matroids",1973,"https://doi.org/10.1112/blms/5.1.85",1],[2,-0.7812,-0.3367,"Locally Compact Groups of Differntiable Transformations",1946,"https://doi.org/10.2307/1969226",1],[2,-0.6994,-0.0497,"On Non Self-Adjoint Representations of C*-Algebras",1981,"https://doi.org/10.2307/2374248",1],[2,-0.7627,0.0136,"The Structure of Stable Algebraically Simple C*-Algebras",1982,"https://doi.org/10.2307/2374206",1],[2,-0.2363,0.7736,"Transformations of Weiner Integrals Under Translations",1944,"https://doi.org/10.2307/1969276",1],[2,-0.373,-0.717,"Geometry of Measures in R n : Distribution, Rectifiability, and Densities",1987,"https://doi.org/10.2307/1971410",1],[2,-0.3638,-0.6581,"Singular Polarizations and Ellipsoid Packings",2012,"https://doi.org/10.1093/imrn/rns137",1],[2,-0.7353,-0.0281,"On One-Parameter Unitary Groups in Hilbert Space",1932,"https://doi.org/10.2307/1968538",1],[2,-0.1316,-0.653,"Affine Structures in 3-Manifolds: IV. Piecewise Linear Approximations of Homeomorphisms",1952,"https://doi.org/10.2307/1969775",2],[2,-0.1585,-0.8192,"Theorie der Normalflächen: Ein Isotopiekriterium für den Kreisknoten",1961,"https://doi.org/10.1007/bf02559591",1],[2,-0.3987,-0.5231,"C 1 Isometric Imbeddings",1954,"https://doi.org/10.2307/1969840",2],[2,0.6281,-0.3334,"Norm Convergence of Riesz-Bochner Means For Radial Functions",1975,"https://doi.org/10.4153/cjm-1975-023-1",1],[2,-0.3049,-0.5836,"Courants kählériens et surfaces compactes",1999,"https://doi.org/10.5802/aif.1673",2],[2,-0.352,-0.5434,"Constantes explicites pour les inégalités de Sobolev sur les variétés riemanniennes compactes",1983,"https://doi.org/10.5802/aif.921",2],[2,0.7782,-0.036,"The Steinitz-Gross Theorem on Sums of Vectors",1954,"https://doi.org/10.4153/cjm-1954-013-0",1],[2,0.3046,0.7076,"Crossing Number Problems",1973,"https://doi.org/10.1080/00029890.1973.11993230",1],[2,0.0965,-0.8258,"Number of Points of Varieties in Finite Fields",1954,"https://doi.org/10.2307/2372655",1],[2,0.0072,-0.7485,"The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions",1940,"https://doi.org/10.2307/2371483",1],[2,-0.3614,-0.6048,"A Compact Kähler Surface of Negative Curvature Not Covered by the Ball",1980,"https://doi.org/10.2307/1971149",1],[2,0.4873,-0.4313,"The Invariance of Milnor's Number Implies the Invariance of the Topological Type",1976,"https://doi.org/10.2307/2373614",3],[2,0.6477,-0.0834,"The Gaussian core model in high dimensions",2018,"https://doi.org/10.1215/00127094-2018-0018",2],[2,0.4791,0.4535,"Minorations des fonctions aléatoires gaussiennes",1974,"https://doi.org/10.5802/aif.506",2],[2,0.3136,-0.7723,"L'arithmétique des variétés rationnelles",1992,"https://doi.org/10.5802/afst.751",1],[2,-0.565,-0.6024,"On C 1 -Complexes",1940,"https://doi.org/10.2307/1968861",1],[2,0.3112,-0.5615,"On existence of log minimal models II",2011,"https://doi.org/10.1515/crelle.2011.062",3],[2,0.4694,-0.4636,"Compactification of Arithmetic Quotients of Bounded Symmetric Domains",1966,"https://doi.org/10.2307/1970457",3],[2,-0.2004,0.6055,"Scaling laws for ising models near Tc",1966,"https://doi.org/10.1103/physicsphysiquefizika.2.263",3],[2,-0.6259,-0.2137,"Homologie Singuliere Des Espaces Fibres",1951,"https://doi.org/10.2307/1969485",5],[2,-0.1913,-0.6386,"Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution",1956,"https://doi.org/10.5802/aif.65",2],[2,0.7496,-0.3243,"The Cauchy Integral, Analytic Capacity, and Uniform Rectifiability",1996,"https://doi.org/10.2307/2118585",1],[2,-0.648,-0.3213,"Poincare Complexes: I",1967,"https://doi.org/10.2307/1970688",1],[2,0.3097,-0.6679,"An Elementary Proof of the Prime-Number Theorem",1949,"https://doi.org/10.2307/1969455",1],[2,0.508,0.1217,"L p Estimates on the Bilinear Hilbert Transform for 2 < p < ∞",1997,"https://doi.org/10.2307/2952458",2],[2,0.0614,-0.79,"Periods and Minimal Abelian Subvarieties",1993,"https://doi.org/10.2307/2946542",1],[2,0.0509,-0.7921,"Explicit Hyperelliptic Curves With Real Multiplication and Permutation Polynomials",1991,"https://doi.org/10.4153/cjm-1991-061-x",1],[2,-0.6306,0.4588,"Dimension conforme et sphère à l'infini des variétés à courbure négative",1989,"https://doi.org/10.5186/aasfm.1989.1424",1],[2,0.7136,0.2763,"The Relaxation Method for Linear Inequalities",1954,"https://doi.org/10.4153/cjm-1954-038-x",1],[2,0.204,0.8494,"The Representation of a Graph by Set Intersections",1966,"https://doi.org/10.4153/cjm-1966-014-3",1],[2,0.1495,-0.0319,"An Elementary Proof of the Prime-Number Theorem for Arithmetic Progressions",1950,"https://doi.org/10.4153/cjm-1950-007-5",2],[2,0.5141,0.4326,"On a Family of Symmetric Bernoulli Convolutions",1939,"https://doi.org/10.2307/2371641",2],[2,-0.0284,-0.1022,"Density Properties for Certain Subgroups of Semi-Simple Groups Without Compact Components",1960,"https://doi.org/10.2307/1970150",2],[2,-0.6343,-0.137,"Small Subgroups of Finite-Dimensional Groups",1952,"https://doi.org/10.2307/1969796",2],[2,-0.802,-0.237,"The Action of the Morava Stabilizer Group on the Lubin-Tate Moduli Space of Lifts",1995,"https://doi.org/10.2307/2375086",1],[2,-0.6178,-0.2304,"The Steenrod Algebra and Its Dual",1958,"https://doi.org/10.2307/1969932",2],[2,-0.6607,-0.063,"Perturbations of Von Neumann Algebras I Stability of Type",1972,"https://doi.org/10.2307/2373592",3],[2,0.0011,-0.7455,"Die Typen der Multiplikatorenringe elliptischer Funktionenkörper",1941,"https://doi.org/10.1007/bf02940746",1],[2,0.3477,-0.5476,"Multiple point Seshadri constants and the dimension of adjoint linear series",1996,"https://doi.org/10.5802/aif.1506",2],[2,0.5536,-0.4972,"The topology of Stein CR manifolds and the Lefschetz theorem",1993,"https://doi.org/10.5802/aif.1340",1],[2,-0.0297,0.7442,"On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions",2011,"https://doi.org/10.4064/aa150-1-4",1],[2,0.0411,-0.7327,"Courbes hyperelliptiques à multiplications réelles et une construction de Shih",2000,"https://doi.org/10.4153/cmb-2000-037-x",1],[2,0.6556,-0.4219,"Koebe's general uniformisation theorem for planar Riemann surfaces",2010,"https://doi.org/10.4064/ap100-1-7",1],[2,0.0602,-0.8406,"Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups",1972,"https://doi.org/10.2307/2373569",1],[2,-0.1398,-0.688,"Locally Flat Imbeddings of Topological Manifolds",1962,"https://doi.org/10.2307/1970177",1],[2,-0.508,0.4316,"On Theories with a Combinatorial Definition of \"Equivalence\"",1942,"https://doi.org/10.2307/1968867",3],[2,0.0066,-0.7289,"Non-vanishing of n -th derivatives of twisted elliptic L -functions in the critical point",1997,"https://doi.org/10.5802/jtnb.185",1],[2,-0.5342,-0.5746,"Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature",1979,"https://doi.org/10.2307/1971247",1],[2,0.7511,-0.1638,"Intersection properties of balls in spaces of compact operators",1978,"https://doi.org/10.5802/aif.700",1],[2,-0.2508,0.2046,"Determinant Theory in Finite Factors",1952,"https://doi.org/10.2307/1969645",2],[2,0.3731,-0.6437,"Threefolds Whose Canonical Bundles Are Not Numerically Effective",1982,"https://doi.org/10.2307/2007050",1],[2,-0.6154,0.2145,"Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires",1952,"https://doi.org/10.1007/bf02392131",3],[2,-0.7055,-0.0344,"Extensions of Pure States",1959,"https://doi.org/10.2307/2372748",1],[2,-0.1906,-0.6354,"Bases communes dans certains espaces de fonctions harmoniques et fonctions séparément harmoniques sur certains ensembles de 𝐂 n",1982,"https://doi.org/10.5802/afst.575",2],[2,-0.2369,0.6077,"Some conditions for quasiconformality",1989,"https://doi.org/10.5186/aasfm.1989.1405",2],[2,0.6971,-0.2673,"Pointwise Convergence of Fourier Series",1973,"https://doi.org/10.2307/1970917",1],[2,0.8073,-0.3025,"On Limits of Sequences of Operators",1961,"https://doi.org/10.2307/1970308",1],[2,-0.6254,-0.1442,"Groups Without Small Subgroups",1952,"https://doi.org/10.2307/1969795",2],[2,-0.0696,0.8667,"Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution",1994,"https://doi.org/10.4153/cjm-1994-040-6",1],[2,0.0279,-0.8629,"Construction of automorphic Galois representations, II",2013,"https://doi.org/10.4310/cjm.2013.v1.n1.a2",1],[2,-0.3888,-0.6009,"Parallel Translation of Riemannian Curvature",1956,"https://doi.org/10.2307/1969978",1],[2,0.3182,0.8146,"La décomposition en poids des algèbres de Hopf",1993,"https://doi.org/10.5802/aif.1365",1],[2,0.3627,-0.5399,"On the moduli b-divisors of lc-trivial fibrations",2014,"https://doi.org/10.5802/aif.2894",8],[2,-0.1625,-0.8066,"The Problem of Plateau on a Riemannian Manifold",1948,"https://doi.org/10.2307/1969401",1],[2,0.5051,0.4198,"On the Random Series ∑± λ n (an Erdos Problem)",1995,"https://doi.org/10.2307/2118556",2],[2,-0.4608,-0.0267,"A Simple Intrinsic Proof of the Gauss-Bonnet Formula for Closed Riemannian Manifolds",1944,"https://doi.org/10.2307/1969302",3],[2,0.315,-0.5675,"A Numerical Criterion for Uniruledness",1986,"https://doi.org/10.2307/1971387",2],[2,-0.3258,0.7003,"Algebraic properties of truncated Toeplitz operators",2007,"https://doi.org/10.7153/oam-01-29",1],[2,-0.4698,-0.7305,"Sur une hypothèse de transversalité d’Arnold",1988,"https://doi.org/10.1007/bf02566761",1],[2,0.7547,-0.3749,"Wave Front Sets, Local Smoothing and Bourgain's Circular Maximal Theorem",1992,"https://doi.org/10.2307/2946549",1],[2,-0.6801,0.5487,"On the Lusternik-Schnirelmann Category of Abstract Groups",1957,"https://doi.org/10.2307/1970062",1],[2,0.6357,-0.5648,"Les conditions de Whitney impliquent μ ( * ) constant",1976,"https://doi.org/10.5802/aif.619",1],[2,0.2956,-0.7324,"The Norm 1 Group of -Adic Division Algebra",1970,"https://doi.org/10.2307/2373336",1],[2,0.6323,-0.5577,"Calcul du nombre de cycles évanouissants d'une hypersurface complexe",1973,"https://doi.org/10.5802/aif.491",1],[2,-0.439,-0.676,"Contributions to Riemannian Geometry in the Large",1959,"https://doi.org/10.2307/1970029",1],[2,-0.7434,-0.2226,"Sur Certains Types de Representations p-Adiques du Groupe de Galois d'un Corps Local; Construction d'un Anneau de Barsotti-Tate",1982,"https://doi.org/10.2307/2007012",1],[2,0.278,0.8138,"Remarks to Maurice Frechet's Article ``Sur La Definition Axiomatique D'Une Classe D'Espace Distances Vectoriellement Applicable Sur L'Espace De Hilbert",1935,"https://doi.org/10.2307/1968654",1],[2,-0.129,-0.648,"An Alternative Proof that 3-Manifolds Can be Triangulated",1959,"https://doi.org/10.2307/1970092",2],[2,0.6085,0.1861,"Maximum matching and a polyhedron with 0,1-vertices",1965,"https://doi.org/10.6028/jres.069b.013",3],[2,0.5973,-0.3119,"The Multiplier Problem for the Ball",1971,"https://doi.org/10.2307/1970864",3],[2,-0.068,-0.7033,"On Hölder continuity-in-time of the optimal transport map towards measures along a curve",2011,"https://doi.org/10.1017/s001309150800117x",1],[2,0.3068,0.1886,"Logarithmic Sobolev Inequalities",1975,"https://doi.org/10.2307/2373688",4],[2,-0.2526,0.6133,"On the Enumeration of Tree-Rooted Maps",1967,"https://doi.org/10.4153/cjm-1967-010-x",5],[2,0.3535,-0.5378,"Orbifolds, special varieties and classification theory: an appendix",2004,"https://doi.org/10.5802/aif.2028",3],[2,-0.6205,-0.2257,"On Realizing Complex Bordism Modules: Applications to the Stable Homotopy of Spheres",1970,"https://doi.org/10.2307/2373397",2],[2,-0.7179,-0.3027,"A Generalization of A Theorem of Gleason",1953,"https://doi.org/10.2307/1969792",1],[2,-0.3437,0.5591,"On the Distribution of the Roots of Certain Symmetric Matrices",1958,"https://doi.org/10.2307/1970008",2],[2,-0.6582,0.5226,"Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts",1953,"https://doi.org/10.2307/1969728",1],[2,-0.0845,0.7956,"The Classification of Algebras by Dominant Dimension",1968,"https://doi.org/10.4153/cjm-1968-037-9",1],[2,-0.5734,-0.4283,"Real-valued Measurable Cardinals and Well-orderings of the Reals",2006,"https://doi.org/10.1007/3-7643-7692-9_4",1],[2,-0.6553,0.0052,"Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ � 1",1976,"https://doi.org/10.2307/1971057",2],[2,0.397,-0.512,"Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)",1968,"https://doi.org/10.2307/2373485",2],[2,0.4479,0.7243,"Reflection Principles and Bounds for Class Group Torsion",2007,"https://doi.org/10.1093/imrn/rnm002",1],[2,-0.2495,-0.6101,"Hypersurfaces with Maximal Affinely Invariant Area",1982,"https://doi.org/10.2307/2374069",2],[2,0.1297,-0.7323,"Prime Numbers in Short Intervals and a Generalized Vaughan Identity",1982,"https://doi.org/10.4153/cjm-1982-095-9",1],[2,0.4973,-0.6122,"Free Derivation Modules on Algebraic Varieties",1965,"https://doi.org/10.2307/2373252",1],[2,-0.5096,0.3987,"On Products of Complexes",1953,"https://doi.org/10.2307/2372629",2],[2,0.4426,-0.6097,"The modified diagonal cycle on the triple product of a pointed curve",1995,"https://doi.org/10.5802/aif.1469",1],[2,0.6983,0.2625,"The Relaxation Method for Linear Inequalities",1954,"https://doi.org/10.4153/cjm-1954-037-2",1],[2,-0.4798,-0.1231,"Weak convergence of completely additive vector functions on a set",1968,"https://doi.org/10.1007/bf02196453",2],[2,-0.304,-0.7988,"Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems",1983,"https://doi.org/10.2307/2006981",1],[2,0.164,-0.8213,"Sätze und Probleme überpk/k",1962,"https://doi.org/10.1007/bf02992930",1],[2,-0.2745,-0.678,"Interior W 2, p Estimates for Solutions of the Monge-Ampere Equation",1990,"https://doi.org/10.2307/1971510",1],[2,0.5663,-0.4888,"Hermitian Forms Over Local Fields",1962,"https://doi.org/10.2307/2372982",1],[2,0.1757,-0.6243,"There are Infinitely Many Carmichael Numbers",1994,"https://doi.org/10.2307/2118576",2],[2,0.2565,-0.797,"Lyndon Words, Free Algebras and Shuffles",1989,"https://doi.org/10.4153/cjm-1989-025-2",1],[2,-0.3427,-0.6861,"Une borne inférieure pour le volume d'une variété riemannienne en fonction du rayon d'injectivité",1980,"https://doi.org/10.5802/aif.802",1],[2,-0.5437,0.4424,"Free Differential Calculus. II: The Isomorphism Problem of Groups",1954,"https://doi.org/10.2307/1969686",1],[2,-0.755,0.4369,"Coût des relations d’équivalence et des groupes",2000,"https://doi.org/10.1007/s002229900019",1],[2,-0.5047,-0.6702,"The Singularities of a Smooth n-Manifold in (2n - 1)-Space",1944,"https://doi.org/10.2307/1969266",1],[2,-0.6599,-0.054,"A Counterexample in the Perturbation Theory of C*-Algebras",1982,"https://doi.org/10.4153/cmb-1982-043-4",2],[2,-0.6586,0.006,"Subalgebras of C*-algebras",1969,"https://doi.org/10.1007/bf02392388",2],[2,0.0529,-0.4481,"On compact Kähler surfaces",1999,"https://doi.org/10.5802/aif.1674",4],[2,-0.3474,-0.7629,"The Stable Homotopy of the Classical Groups",1959,"https://doi.org/10.2307/1970106",1],[2,-0.6931,-0.1472,"Homogeneity of the Pure State Space of a Separable C*-Algebra",2003,"https://doi.org/10.4153/cmb-2003-038-3",1],[2,-0.1756,-0.6977,"A refined existence criterion for the relativistic Vlasov-Maxwell system",2014,"https://doi.org/10.4310/cms.2015.v13.n2.a4",1],[2,-0.4735,-0.5466,"On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior",1958,"https://doi.org/10.2307/2372830",1],[2,-0.2597,-0.6886,"Sur la géométrie semi- et sous- analytique",1993,"https://doi.org/10.5802/aif.1384",1],[2,0.0269,-0.6689,"The $p$-adic local Langlands correspondence for ${\\rm GL}_2(\\mathbb{Q}_p)$",2014,"https://doi.org/10.4310/cjm.2014.v2.n1.a1",2],[2,-0.3979,0.6465,"Refinement of the upper bounds of the constants in Lyapunov's theorem",2010,"https://doi.org/10.1070/rm2010v065n03abeh004688",1],[2,-0.6633,-0.2414,"On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I",1960,"https://doi.org/10.2307/2372970",1],[2,0.4908,-0.4315,"On the Topology of Algebroid Singularities",1932,"https://doi.org/10.2307/2370887",2],[2,0.5384,0.3712,"Hausdorff dimension, orthogonal projections and intersections with planes",1975,"https://doi.org/10.5186/aasfm.1975.0110",3],[2,-0.5016,-0.5427,"On the Triangulation of Regular Loci",1934,"https://doi.org/10.2307/1968752",1],[2,0.5465,-0.4684,"Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves",1965,"https://doi.org/10.2307/2373019",1],[2,0.2973,-0.6507,"Двойная экспоненциальная нижняя оценка числа представлений единицы египетскими дробями",2014,"https://doi.org/10.4213/mzm10417",1],[2,-0.5996,-0.2646,"The Novikov Conjecture for Groups with Finite Asymptotic Dimension",1998,"https://doi.org/10.2307/121011",2],[2,-0.2143,0.7152,"The Wightman Axioms and Particle Structure in the (φ) 2 Quantum Field Model",1974,"https://doi.org/10.2307/1970959",1],[2,0.3591,-0.5595,"On the 14-th Problem of Hilbert",1959,"https://doi.org/10.2307/2372927",4],[2,0.4633,-0.54,"Sur une caractérisation de la boule parmi les domaines de ℂ n par son groupe d’automorphismes",1979,"https://doi.org/10.5802/aif.768",1],[2,0.7785,-0.1418,"Extensions of a Bonnesen-style inequality to Minkowski spaces",2008,"https://doi.org/10.7153/mia-11-63",1],[2,0.3073,-0.5622,"Birational positivity in dimension 4",2014,"https://doi.org/10.5802/aif.2845",2],[2,-0.2764,0.8178,"A Closed Set of Normal Orthogonal Functions",1923,"https://doi.org/10.2307/2387224",1],[2,0.0263,-0.6724,"Modular Elliptic Curves and Fermat's Last Theorem",1995,"https://doi.org/10.2307/2118559",4],[2,-0.616,0.3796,"A TWISTED HOMOLOGY FIBRATION CRITERION AND THE TWISTED GROUP-COMPLETION THEOREM",2014,"https://doi.org/10.1093/qmath/hau030",1],[2,0.3422,0.1101,"Étude des coefficients de Fourier des fonctions de L p ( G )",1970,"https://doi.org/10.5802/aif.357",5],[2,-0.1969,-0.6949,"On uniqueness in the inverse conductivity problem with local data",2007,"https://doi.org/10.3934/ipi.2007.1.95",1],[2,-0.6518,0.014,"The Completely Positive Lifting Problem for C ∗ -algebras",1976,"https://doi.org/10.2307/1970968",3],[2,0.0179,-0.6635,"Selmer groups and the indivisibility of Heegner points",2014,"https://doi.org/10.4310/cjm.2014.v2.n2.a2",4],[2,-0.5791,-0.4333,"Barrelled Countable Enlargements and the Bounding Cardinal",1996,"https://doi.org/10.1112/jlms/53.1.158",1],[2,-0.3398,-0.5496,"Complex Analytic Coordinates in Almost Complex Manifolds",1957,"https://doi.org/10.2307/1970051",2],[2,-0.5891,0.4868,"On Adding Relations to Homotopy Groups",1941,"https://doi.org/10.2307/1968907",1],[2,0.3941,0.5322,"A new proof of Szemerédi's theorem",2001,"https://doi.org/10.1007/s00039-001-0332-9",2],[2,-0.3633,-0.6337,"The ergodic theory of AxiomA flows",1975,"https://doi.org/10.1007/bf01389848",1],[2,-0.7026,0.1401,"A Parallel Repetition Theorem for All Entangled Games",2016,"https://doi.org/10.4230/lipics.icalp.2016.77",1],[2,0.2299,0.8174,"Ramanujan Graphs in Polynomial Time",2016,"https://doi.org/10.1109/focs.2016.37",1],[2,-0.3764,-0.6536,"Normal forms for non-uniform contractions",2017,"https://doi.org/10.3934/jmd.2017014",1],[2,0.8509,0.142,"RL $$ \\subseteq $$ SC",1994,"https://doi.org/10.1007/bf01205052",1],[2,-0.2602,0.7543,"Multivariate Trace Inequalities",2016,"https://doi.org/10.1007/s00220-016-2778-5",1],[2,0.4405,0.7224,"The fundamental theorems of affine and projective geometry revisited",2016,"https://doi.org/10.1142/s0219199716500590",1],[2,0.2185,0.7503,"Pro unitality and pro excision in algebraic K-theory and cyclic homology",2014,"https://arxiv.org/abs/1404.4179",1],[2,0.1274,-0.8235,"THE CONJECTURE IMPLIES THE RIEMANN HYPOTHESIS",2016,"https://doi.org/10.1112/s0025579316000139",1],[2,-0.5412,0.6247,"Downward categoricity from a successor inside a good frame",2016,"https://doi.org/10.1016/j.apal.2016.10.003",1],[2,0.6385,-0.4476,"Symplectic nonsqueezing in Hilbert space and discrete Schrödinger equations",2016,"https://doi.org/10.1007/s11784-016-0318-8",1],[2,0.7933,0.287,"Dictator functions maximize mutual information",2018,"https://doi.org/10.1214/18-aap1384",1],[2,-0.0724,0.8199,"No Occurrence Obstructions in Geometric Complexity Theory",2016,"https://doi.org/10.1090/jams/908",1],[2,-0.4048,-0.6944,"Non-stationary smooth geometric structures for contracting measurable cocycles",2017,"https://doi.org/10.1017/etds.2017.38",1],[2,0.3277,0.5604,"A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four",1998,"https://doi.org/10.1007/s000390050065",3],[2,-0.325,0.6538,"Rate of convergence in first-passage percolation under low moments",2016,"https://doi.org/10.1016/j.spa.2016.04.001",1],[2,-0.6951,0.4283,"Palindromic subshifts and simple periodic groups of intermediate growth",2018,"https://doi.org/10.4007/annals.2018.187.3.2",1],[2,0.5962,0.2895,"Approximating $k$-Median via Pseudo-Approximation",2016,"https://doi.org/10.1137/130938645",2],[2,0.434,0.5891,"Monochromatic sums and products in $\\mathbb{N}$",2017,"https://doi.org/10.4007/annals.2017.185.3.10",1],[2,0.3885,-0.6341,"The volume of singular Kähler–Einstein Fano varieties",2018,"https://doi.org/10.1112/s0010437x18007042",1],[2,0.6019,-0.581,"A young person's guide to mixed Hodge modules",2016,"https://arxiv.org/abs/1605.00435",1],[2,0.7525,-0.0488,"The Borell–Ehrhard game",2017,"https://doi.org/10.1007/s00440-017-0762-4",1],[2,-0.8039,0.1147,"Regularity of fixed-point vertex operator subalgebras",2016,"https://arxiv.org/abs/1603.05645",1],[2,-0.821,0.2543,"Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator",2016,"https://doi.org/10.1109/tit.2016.2621748",1],[2,-0.2349,0.5983,"A natural parametrization for the Schramm–Loewner evolution",2011,"https://doi.org/10.1214/10-aop560",3],[2,0.2288,-0.753,"Nombres D’Euler, approximants de Padé et constante de Catalan",2006,"https://doi.org/10.1007/s11139-006-6507-0",1],[2,0.5219,-0.564,"The Myers-Steenrod theorem for Finsler manifolds of low regularity",2017,"https://doi.org/10.1090/proc/13407",1],[2,0.3062,0.5893,"Van der corput’s difference theorem",1978,"https://doi.org/10.1007/bf02761498",2],[2,-0.3069,-0.5773,"An intrinsic characterization of Kähler manifolds",1983,"https://doi.org/10.1007/bf01394312",2],[2,-0.2446,-0.592,"Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure",2017,"https://doi.org/10.4007/annals.2018.187.1.4",2],[2,-0.2502,-0.5882,"Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three",2018,"https://doi.org/10.1007/978-3-319-59078-3_17",2],[2,0.0411,0.8131,"Donaldson-Thomas type invariants via microlocal geometry",2009,"https://doi.org/10.4007/annals.2009.170.1307",1],[2,0.2245,-0.7051,"On Catalan’S constant",2016,"https://doi.org/10.1134/s0081543816010107",1],[2,-0.2894,0.7096,"Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding",2021,"https://doi.org/10.1214/21-aop1506",1],[2,-0.2502,-0.5976,"Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture",2017,"https://doi.org/10.4007/annals.2018.187.1.5",3],[2,-0.1033,0.6527,"A remark on Donovan?s conjecture",2004,"https://doi.org/10.1007/s00013-004-4880-8",2],[2,-0.2515,-0.5918,"�ber Knoten von Eigenfunktionen des Laplace-Beltrami-Operators",1978,"https://doi.org/10.1007/bf01214561",2],[2,-0.6012,-0.259,"The coarse Baum–Connes conjecture and groupoids",2002,"https://doi.org/10.1016/s0040-9383(01)00004-0",2],[2,0.0285,-0.7132,"A criterion for elliptic curves with lowest 2-power in L(1)",1997,"https://doi.org/10.1017/s0305004196001247",1],[2,0.7341,0.1859,"A Framework for Similarity Search with Space-Time Tradeoffs using Locality-Sensitive Filtering",2017,"https://doi.org/10.1137/1.9781611974782.3",1],[2,-0.3187,-0.6921,"Lusternik-Schnirelman-theory for Lagrangian intersections",1988,"https://doi.org/10.1016/s0294-1449(16)30339-0",1],[2,0.7031,0.2535,"Non-commutative arithmetic circuits with division",2015,"https://doi.org/10.4086/toc.2015.v011a014",1],[2,-0.3664,0.4748,"Minimal subfamilies and the probabilistic interpretation for modulus on graphs",2016,"https://doi.org/10.1007/s41478-016-0002-9",2],[2,-0.602,0.2404,"Rigidity and tolerance for perturbed lattices",2014,"https://arxiv.org/abs/1409.4490",4],[2,-0.3577,0.5488,"Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters",2016,"https://doi.org/10.1016/j.crma.2016.07.013",2],[2,0.6926,0.4325,"Inapproximability of Nash Equilibrium",2018,"https://doi.org/10.1137/15m1039274",1],[2,-0.8655,0.0963,"Modular Hamiltonians for deformed half-spaces and the averaged null energy condition",2016,"https://doi.org/10.1007/jhep09(2016)038",1],[2,0.7228,0.1162,"Undirected ST-connectivity in log-space",2005,"https://doi.org/10.1145/1060590.1060647",1],[2,0.6539,0.088,"Reducibility among Combinatorial Problems",1972,"https://doi.org/10.1007/978-1-4684-2001-2_9",5],[2,0.6292,0.1329,"An n\\log n Lower Bound for Fourier Transform Computation in the Well Conditioned Model",2014,"https://doi.org/10.48550/arxiv.1403.1307",2],[2,0.1785,0.8169,"Self-dual uniform matroids on infinite sets",2015,"https://doi.org/10.1090/proc/12667",1],[2,0.6883,0.1923,"Vector bundles give equations of cactus varieties",2016,"https://doi.org/10.1016/j.laa.2016.12.005",1],[2,0.6068,0.3617,"On the Power of Homogeneous Depth 4 Arithmetic Circuits",2017,"https://doi.org/10.1137/140999335",1],[2,0.6533,0.0349,"A Two-Prover One-Round Game with Strong Soundness",2013,"https://doi.org/10.4086/toc.2013.v009a028",3],[2,-0.7339,-0.0123,"The C*-algebra of a minimal homeomorphism with finite mean dimension has finite radius of comparison",2016,"https://arxiv.org/abs/1605.07976",1],[2,-0.8099,0.1372,"Forrelation: A Problem That Optimally Separates Quantum from Classical Computing",2018,"https://doi.org/10.1137/15m1050902",1],[2,0.2764,0.5768,"A family of extremal hypergraphs for Ryser's conjecture",2018,"https://doi.org/10.1016/j.jcta.2018.07.011",2],[2,0.7463,-0.3101,"Poincaré inequalities for the maximal function",2018,"https://doi.org/10.2422/2036-2145.201705_001",1],[2,-0.6174,-0.3431,"Corrigendum to: “A model structure à la Thomason on 2-Cat” [J. Pure Appl. Algebra 208 (2007) 205–236]",2016,"https://doi.org/10.1016/j.jpaa.2016.04.002",1],[2,-0.3669,-0.5457,"Quasianalytic Ilyashenko Algebras",2016,"https://doi.org/10.4153/cjm-2016-048-x",2],[2,0.6568,0.3085,"A (1+epsilon)-approximation for makespan scheduling with precedence constraints using LP hierarchies",2016,"https://doi.org/10.1145/2897518.2897532",1],[2,0.4754,-0.6059,"A short proof of the deformation property of Bridgeland stability conditions",2019,"https://doi.org/10.1007/s00208-019-01900-w",1],[2,0.6427,-0.4432,"Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle",2019,"https://doi.org/10.4310/jdg/1549422103",1],[2,-0.6083,0.221,"Localized deformation for initial data sets with the dominant energy condition",2020,"https://doi.org/10.1007/s00526-019-1679-9",2],[2,-0.6237,-0.5526,"Bergman Orthogonal Polynomials and the Grunsky Matrix",2017,"https://doi.org/10.1007/s00365-017-9381-7",1],[2,0.2583,0.5936,"On the average size of independent sets in triangle-free graphs",2017,"https://doi.org/10.1090/proc/13728",2],[2,-0.8434,0.1468,"Separations in Query Complexity Based on Pointer Functions",2017,"https://doi.org/10.1145/3106234",1],[2,0.3381,-0.7434,"EGYPTIAN FRACTIONS WITH ODD DENOMINATORS",2016,"https://doi.org/10.1093/qmath/haw020",1],[2,0.3463,-0.5469,"Hodge Theory and Complex Algebraic Geometry I",2002,"https://doi.org/10.1017/cbo9780511615344",2],[2,0.6724,0.4175,"Settling the Complexity of Computing Approximate Two-Player Nash Equilibria",2016,"https://doi.org/10.1109/focs.2016.35",1],[2,0.626,-0.6111,"Duality in W-algebras",1991,"https://doi.org/10.1155/s1073792891000119",1],[2,0.4594,-0.4697,"Geometrie Algebrique Et Geometrie Analytique",1971,"https://doi.org/10.1007/bfb0058667",2],[2,0.3217,-0.5806,"A decomposition theorem for singular spaces with trivial canonical class of dimension at most five",2017,"https://doi.org/10.1007/s00222-017-0748-y",3],[2,-0.1275,-0.7651,"On a Long-Standing Conjecture of E. De Giorgi: Symmetry in 3D for General Nonlinearities and a Local Minimality Property",2001,"https://doi.org/10.1023/a:1010602715526",1],[2,-0.6986,-0.5083,"Extension of isometries on the unit sphere of L p spaces",2011,"https://doi.org/10.1007/s10114-011-0302-6",1],[2,0.335,-0.5511,"Existence of valuations with smallest normalized volume",2018,"https://doi.org/10.1112/s0010437x17008016",5],[2,-0.7694,0.2451,"Approximating local observables on projected entangled pair states",2017,"https://doi.org/10.1103/physreva.95.060102",1],[2,0.1383,-0.6962,"Sieve weights and their smoothings",2021,"https://doi.org/10.24033/asens.2478",1],[2,-0.701,0.2206,"Geometric inequalities from phase space translations",2017,"https://doi.org/10.1063/1.4974224",1],[2,-0.2714,0.6752,"On Effective Conductivity on ℤ d Lattice",2002,"https://doi.org/10.1023/a:1019787330168",1],[2,-0.4553,-0.6429,"Quasi-isometric vector bundles and bounded factorization of holomorphic matrices",2003,"https://doi.org/10.5802/aif.1964",1],[2,-0.7975,0.2982,"The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory",2017,"https://doi.org/10.1002/cpa.21717",1],[2,0.0209,-0.653,"A converse to a theorem of Gross, Zagier, and Kolyvagin",2020,"https://doi.org/10.4007/annals.2020.191.2.1",3],[2,-0.8352,0.2106,"Completely positive semidefinite rank",2017,"https://doi.org/10.1007/s10107-017-1198-4",1],[2,0.7923,-0.3583,"A bilinear Fourier extension theorem and applications to the distance set problem",2005,"https://doi.org/10.1155/imrn.2005.1411",1],[2,-0.3492,-0.536,"Harmonic functions on manifolds of nonnegative Ricci curvature",2001,"https://doi.org/10.1155/s1073792801000216",2],[2,0.1961,0.7705,"A Proof of Turyn's Conjecture: Nonexistence of Circulant Hadamard Matrices for Order Greater than Four",2016,"https://doi.org/10.1587/transcom.2015ebp3506",1],[2,-0.6094,0.2226,"Modifications and Cobounding Manifolds",1960,"https://doi.org/10.4153/cjm-1960-045-7",2],[2,-0.2697,0.7687,"Multivariate CLT follows from strong Rayleigh property",2017,"https://doi.org/10.1137/1.9781611974775.14",1],[2,0.0604,-0.8196,"Inégalité de Vojta généralisée",2005,"https://doi.org/10.24033/bsmf.2494",1],[2,0.6023,-0.5834,"Geometric Bernstein Asymptotics and the Drinfeld-Lafforgue-Vinberg degeneration for arbitrary reductive groups",2016,"https://arxiv.org/abs/1607.00586",1],[2,-0.622,-0.3538,"Joint et tranches pour les $\\infty$-catégories strictes",2020,"https://doi.org/10.24033/msmf.473",1],[2,0.6447,-0.5113,"The Hodge Conjecture",2016,"https://doi.org/10.1007/978-3-319-32162-2_17",1],[2,-0.5782,0.411,"Poc Sets, Median Algebras and Group Actions",2016,"https://arxiv.org/abs/1607.07747",1],[2,-0.4983,0.5875,"Good frames in the Hart–Shelah example",2017,"https://doi.org/10.1007/s00153-017-0599-7",1],[2,0.2352,-0.0115,"Elements of Information Theory",2005,"https://doi.org/10.1002/047174882x",7],[2,0.3943,-0.7181,"Kodaira–Saito vanishing and applications",2017,"https://doi.org/10.4171/lem/62-1/2-5",1],[2,-0.5654,0.6397,"GLOBAL PROPERTIES OF THE TURING DEGREES AND THE TURING JUMP",2008,"https://doi.org/10.1142/9789812794055_0002",1],[2,0.4967,-0.6443,"Bridgeland Stability Conditions on Fano Threefolds",2017,"https://doi.org/10.46298/epiga.2017.volume1.2008",1],[2,0.7056,0.2561,"On the Entropy of a Noisy Function",2016,"https://doi.org/10.1109/tit.2016.2584625",1],[2,-0.8166,0.2875,"The Analysis of Linear Partial Differential Operators III",2007,"https://doi.org/10.1007/978-3-540-49938-1",1],[2,0.5934,-0.6083,"Special termination and reduction to pl flips",2007,"https://doi.org/10.1093/acprof:oso/9780198570615.003.0004",1],[2,-0.6611,0.4626,"Intersections of Magnus subgroups of one-relator groups",2004,"https://doi.org/10.1017/cbo9780511550706.009",1],[2,-0.3028,-0.5837,"Strong short-time asymptotics and convolution approximation of the heat kernel",2018,"https://doi.org/10.1007/s10455-018-9630-4",2],[2,-0.3051,0.6816,"Green’s functions for chordal SLE curves",2017,"https://doi.org/10.1007/s00440-017-0802-0",1],[2,0.7515,-0.2696,"Hilbert transform along measurable vector fields constant on Lipschitz curves :L2boundedness",2015,"https://doi.org/10.2140/apde.2015.8.1263",1],[2,-0.1685,0.7217,"Subordinators: Examples and Applications",1999,"https://doi.org/10.1007/978-3-540-48115-7_1",1],[2,0.4334,-0.4823,"Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs",1999,"https://doi.org/10.24033/bsmf.2344",2],[2,-0.0542,0.8725,"Subsets of Complete Intersections and the EGH Conjecture",2012,"https://doi.org/10.1515/9783110250404.167",1],[2,0.3838,0.6499,"Nonnegative Square Matrices",1953,"https://doi.org/10.2307/1907925",1],[2,-0.3109,-0.5686,"Heat kernel asymptotics, path integrals and infinite-dimensional determinants",2018,"https://doi.org/10.1016/j.geomphys.2018.04.012",2],[2,0.0317,-0.8161,"The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)",2002,"https://doi.org/10.1515/9781400837205",1],[2,0.1222,0.8372,"On the sum of the L 1 influences of bounded functions",2016,"https://doi.org/10.1007/s11856-016-1355-0",1],[2,-0.1844,-0.615,"The Analysis of Linear Partial Differential Operators IV",2009,"https://doi.org/10.1007/978-3-642-00136-9",2],[2,0.5456,-0.6607,"The analyticity of q -concave sets of locally finite Hausdorff ( 2 n - 2 q ) measure",2000,"https://doi.org/10.5802/aif.1789",1],[2,-0.5951,-0.2787,"Topology of 4-Manifolds (PMS-39)",1990,"https://doi.org/10.1515/9781400861064",3],[2,0.411,-0.5774,"An Introduction to the Hodge Conjecture for Abelian Varieties",1994,"https://doi.org/10.1007/978-3-540-49046-3_5",1],[2,0.164,-0.8384,"QUASIRANDOM GROUP ACTIONS",2016,"https://doi.org/10.1017/fms.2016.8",1],[2,-0.212,0.6057,"The Symmetric Group",2001,"https://doi.org/10.1007/978-1-4757-6804-6",12],[2,-0.8165,-0.2573,"𝐾(1)-local 𝐸_{∞}-ring spectra",2014,"https://doi.org/10.1090/surv/201/16",1],[2,0.4326,-0.4738,"Kollár--Nadel type vanishing theorem",2016,"https://arxiv.org/abs/1607.04684",5],[2,0.6985,0.2268,"11. Extensive Games and the Problem of Information",1953,"https://doi.org/10.1515/9781400881970-012",1],[2,0.5495,-0.0464,"Power-type cancellation for the simplex Hilbert transform",2019,"https://doi.org/10.1007/s11854-019-0052-4",4],[2,-0.0901,0.8456,"Quasi-Frobenius Rings and Generalizations QF-3 and QF-1 Rings",1973,"https://doi.org/10.1007/bfb0059997",1],[2,0.0304,-0.8672,"Arithmetic Moduli of Elliptic Curves. (AM-108)",1985,"https://doi.org/10.1515/9781400881710",1],[2,-0.4486,-0.6469,"Non-compact cohomogeneity one Einstein manifolds",1999,"https://doi.org/10.24033/bsmf.2345",1],[2,-0.0456,-0.2432,"Sheaves on Manifolds",1990,"https://doi.org/10.1007/978-3-662-02661-8",2],[2,0.7949,0.2521,"Towards the Randomized k-Server Conjecture: A Primal-Dual Approach: (Extended Abstract)",2010,"https://doi.org/10.1137/1.9781611973075.5",1],[2,-0.0524,0.8234,"On the Krull-Schmidt theorem with application to sheaves",1956,"https://doi.org/10.24033/bsmf.1475",1],[2,0.0215,-0.7454,"Le spectre résiduel de ${\\rm GL}(n)$",1989,"https://doi.org/10.24033/asens.1595",1],[2,-0.8432,-0.005,"Sur les $C^*$-algèbres",1960,"https://doi.org/10.24033/bsmf.1545",1],[2,-0.6144,-0.2196,"Homologie et cohomologie des algèbres de Lie",1950,"https://doi.org/10.24033/bsmf.1410",3],[2,-0.3361,-0.6368,"Partial Differential Equations II",2010,"https://doi.org/10.1007/978-1-4419-7052-7",1],[2,-0.2633,0.8008,"The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph",2017,"https://doi.org/10.1007/s00440-017-0792-y",1],[2,0.7277,-0.2786,"Algorithmische Methoden der konformen Abbildungen auf fraktale Gebiete",2000,"https://doi.org/10.14279/depositonce-231",1],[2,-0.3619,0.5418,"On the almost eigenvectors of random regular graphs",2019,"https://doi.org/10.1214/18-aop1294",2],[2,0.6,-0.532,"What is log terminal?",2007,"https://doi.org/10.1093/acprof:oso/9780198570615.003.0003",1],[2,0.6238,0.5518,"PARTIALLY MIXING AND LOCALLY RANK 1 SMOOTH TRANSFORMATIONS AND FLOWS ON THE TORUS Td, d [ges ] 3",2001,"https://doi.org/10.1112/s0024610701002447",1],[2,-0.0657,-0.3869,"-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES – CORRIGENDUM",2016,"https://doi.org/10.1017/fmp.2016.4",3],[2,0.4117,-0.5696,"Complete intersections of hypersurfaces",1988,"https://doi.org/10.4099/math1924.14.309",1],[2,0.6355,-0.5166,"Fano manifolds whose elementary contractions are smooth P^1-fibrations: a geometric characterization of flag varieties",2017,"https://doi.org/10.2422/2036-2145.201508_007",1],[2,0.3197,-0.5925,"Restricted volumes on Kähler manifolds",2022,"https://doi.org/10.5802/afst.1708",2],[2,0.3833,-0.5905,"Elliptic Hypergeometric Functions",2020,"https://doi.org/10.1017/9781108908993.005",1],[2,0.6849,0.2126,"Near-optimal Lower Bounds on Quantifier Depth and Weisfeiler–Leman Refinement Steps",2023,"https://doi.org/10.1145/3195257",1],[2,0.5788,-0.5065,"Floer cohomology, multiplicity and the log canonical threshold",2019,"https://doi.org/10.2140/gt.2019.23.957",1],[2,-0.2937,0.7532,"Liouville quantum gravity and the Brownian map III: the conformal structure is determined",2021,"https://doi.org/10.1007/s00440-021-01026-8",1],[2,0.3053,-0.5685,"On the Non-vanishing Conjecture and Existence of Log Minimal Models",2018,"https://doi.org/10.4171/prims/54-1-3",2],[2,0.0347,0.7347,"La conjecture du facteur direct",2017,"https://doi.org/10.1007/s10240-017-0097-9",1],[2,-0.3461,0.5498,"Some conditional correlation inequalities for percolation and related processes",2005,"https://doi.org/10.1002/rsa.20102",2],[2,0.4252,-0.4899,"On Logarithmic Kodaira Dimension of Algebraic Varieties",1977,"https://doi.org/10.1017/cbo9780511569197.014",2],[2,0.5866,-0.401,"Kähler manifolds with split tangent bundle",2006,"https://doi.org/10.24033/bsmf.2507",1],[2,0.5497,-0.6623,"Local polar varieties in the geometric study of singularities",2018,"https://doi.org/10.5802/afst.1582",1],[2,-0.156,0.6229,"Strong convergence rates and temporal regularity for Cox-Ingersoll-Ross processes and Bessel processes with accessible boundaries",2014,"https://doi.org/10.48550/arxiv.1403.6385",3],[2,-0.6786,0.2103,"Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance",2017,"https://doi.org/10.1016/j.jfa.2017.05.003",1],[2,0.3981,-0.7226,"Rationally connected varieties—On a conjecture of Mumford",2017,"https://doi.org/10.1007/s11425-016-9039-2",1],[2,-0.4393,0.6204,"$f$ -Divergence Inequalities",2016,"https://doi.org/10.1109/tit.2016.2603151",1],[2,-0.6275,-0.5413,"A survey on Lipschitz-free Banach Spaces",2016,"https://doi.org/10.14708/cm.v55i2.1104",1],[2,0.0021,0.0102,"Rigidity of the Laughlin Liquid",2018,"https://doi.org/10.1007/s10955-018-2082-1",2],[2,-0.8007,0.1225,"Conformal Covariance and the Split Property",2017,"https://doi.org/10.1007/s00220-017-2961-3",1],[2,-0.496,-0.6138,"Structure theory of metric measure spaces with lower Ricci curvature bounds",2019,"https://doi.org/10.4171/jems/874",1],[2,0.6529,0.1284,"A Combinatorial Strongly Subexponential Strategy Improvement Algorithm for Mean Payoff Games",2004,"https://doi.org/10.1007/978-3-540-28629-5_52",2],[2,0.0275,-0.7205,"Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)",1986,"https://doi.org/10.24033/asens.1510",1],[2,-0.1772,-0.8237,"On the regularity of edges in image segmentation",1996,"https://doi.org/10.1016/s0294-1449(16)30111-1",1],[2,-0.2862,0.5868,"Random coalescing geodesics in first-passage percolation",2016,"https://doi.org/10.48550/arxiv.1609.02447",2],[2,-0.8318,0.1023,"On the energy landscape of the mixed even p-spin model",2017,"https://doi.org/10.1007/s00440-017-0773-1",1],[2,-0.8112,0.3076,"The maximal excess charge for a family of density-matrix-functional theories including Hartree-Fock and Müller theories",2017,"https://doi.org/10.1063/1.4973850",1],[2,0.0439,0.8316,"F-signature and Hilbert–Kunz multiplicity : a combined approach and comparison",2018,"https://doi.org/10.2140/ant.2018.12.61",1],[2,-0.5849,-0.4703,"A new approach to low-distortion embeddings of finite metric spaces into non-superreflexive Banach spaces",2017,"https://doi.org/10.1016/j.jfa.2017.03.017",1],[2,0.0251,0.0145,"Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary",2016,"https://doi.org/10.1007/s12220-016-9736-5",2],[2,0.007,-0.7764,"A conditional determination of the average rank of elliptic curves",2016,"https://doi.org/10.1112/jlms/jdw058",1],[2,-0.2268,0.7777,"An Introduction to Set Theory and Topology",2016,"https://doi.org/10.7936/k7d798qh",1],[2,-0.7308,0.4786,"Non-inner amenability of the Thompson groups T and V",2017,"https://doi.org/10.1016/j.jfa.2017.02.003",1],[2,0.5958,-0.2863,"A note on the Schrödinger maximal function",2016,"https://doi.org/10.1007/s11854-016-0042-8",2],[2,0.3668,-0.5401,"Singularities of linear systems and boundedness of Fano varieties",2021,"https://doi.org/10.4007/annals.2021.193.2.1",5],[2,0.5866,-0.5144,"Classification des formes de Seifert rationnelles des germes de courbe plane",1996,"https://doi.org/10.5802/aif.1518",1],[2,-0.1833,0.6941,"The reconstruction theorem in Besov spaces",2017,"https://doi.org/10.1016/j.jfa.2017.07.002",1],[2,-0.7614,-0.4221,"Algebraic models of homotopy types and the homotopy hypothesis",2016,"https://arxiv.org/abs/1609.04622",1],[2,0.2932,0.5818,"A Note on Intersecting Hypergraphs with Large Cover Number",2017,"https://doi.org/10.37236/6460",2],[2,-0.1659,0.6833,"Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE",2016,"https://arxiv.org/abs/1609.08527",1],[2,-0.3748,-0.7899,"A $$C^0$$ C 0 counterexample to the Arnold conjecture",2018,"https://doi.org/10.1007/s00222-018-0797-x",1],[2,0.0435,-0.8007,"PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES",2020,"https://doi.org/10.1017/s1474748020000158",1],[2,0.7225,0.2189,"On recognizing graphs by numbers of homomorphisms",2009,"https://doi.org/10.1002/jgt.20461",1],[2,-0.101,0.6993,"Towards a Jordan decomposition of blocks of finite reductive groups",2013,"https://arxiv.org/abs/1312.0106",1],[2,-0.3664,0.546,"Fixed energy universality of Dyson Brownian motion",2019,"https://doi.org/10.1016/j.aim.2019.02.010",2],[2,0.1749,0.7218,"Long Cycles in Locally Expanding Graphs, with Applications",2018,"https://doi.org/10.1007/s00493-017-3701-1",1],[2,0.3589,0.7655,"On graphs with small Ramsey numbers*",2001,"https://doi.org/10.1002/jgt.1014",1],[2,0.1432,-0.6466,"The Distribution of Prime Numbers",2019,"https://doi.org/10.1090/gsm/203",4],[2,-0.6943,0.4476,"Full Banach Mean Values on Countable groups.",1959,"https://doi.org/10.7146/math.scand.a-10568",1],[2,-0.7087,0.4857,"The Braid Groups.",1962,"https://doi.org/10.7146/math.scand.a-10518",1],[2,-0.7192,-0.084,"Notes on Cartan subalgebras in type $\\mathrm{II}_1$ factors.",1985,"https://doi.org/10.7146/math.scand.a-12110",1],[2,-0.5177,-0.6642,"Sectional and intermediate Ricci curvature lower bounds via optimal transport",2018,"https://doi.org/10.1016/j.aim.2018.01.024",1],[2,-0.7978,-0.0309,"Réctification à l'article \"Une caractérisation abstraite des opérateurs différentiels\"",1960,"https://doi.org/10.7146/math.scand.a-10598",1],[2,0.8346,-0.1864,"Random polytopes and the volume-product of symmetric convex bodies.",1985,"https://doi.org/10.7146/math.scand.a-12124",1],[2,-0.2279,0.3717,"On groups with full Banach mean value",1955,"https://doi.org/10.7146/math.scand.a-10442",3],[2,-0.8394,-0.0362,"Une caractérisation abstraite des opérateurs différentiels.",1959,"https://doi.org/10.7146/math.scand.a-10574",1],[2,0.7254,-0.0911,"The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere",2012,"https://doi.org/10.1090/conm/578/11483",1],[2,0.1454,-0.8428,"On the Integers Relatively Prime to $n$ and a Number-Theoretic Function Considered by Jacobsthal.",1962,"https://doi.org/10.7146/math.scand.a-10523",1],[2,0.4575,-0.4675,"Lectures on K3 Surfaces",2016,"https://doi.org/10.1017/cbo9781316594193",4],[2,-0.6633,0.3251,"Interaction Corrections to Spin-Wave Theory in the Large-S Limit of the Quantum Heisenberg Ferromagnet",2017,"https://doi.org/10.1007/s11040-016-9237-6",1],[2,-0.8191,-0.1546,"Translation invariant subspaces of weighted $l^p$ and $L^p$ spaces.",1981,"https://doi.org/10.7146/math.scand.a-11926",1],[2,0.5748,-0.4613,"Conic bundle fourfolds with nontrivial unramified Brauer group",2019,"https://doi.org/10.1090/jag/743",1],[2,-0.2527,-0.6808,"Asymptotic structure of self-shrinkers",2016,"https://doi.org/10.48550/arxiv.1610.04904",1],[2,0.3893,-0.505,"Toroidal Embeddings I",1973,"https://doi.org/10.1007/bfb0070318",6],[2,0.6177,-0.4409,"Kirwan surjectivity for quiver varieties",2017,"https://doi.org/10.1007/s00222-017-0765-x",1],[2,-0.7473,0.2315,"Gaussian States Minimize the Output Entropy of One-Mode Quantum Gaussian Channels",2017,"https://doi.org/10.1103/physrevlett.118.160503",1],[2,0.0092,-0.8079,"L-series with nonzero central critical value",1998,"https://doi.org/10.1090/s0894-0347-98-00263-x",1],[2,-0.7632,0.1581,"Multiplayer parallel repetition for expander games",2016,"https://arxiv.org/abs/1610.08349",1],[2,0.505,0.4174,"On the dimension of Bernoulli convolutions",2019,"https://doi.org/10.1214/18-aop1324",2],[2,0.4987,-0.5886,"Smooth families of tori and linear Kähler groups",2018,"https://doi.org/10.5802/afst.1576",1],[2,0.025,-0.7672,"The p-adic analytic subgroup theorem revisited",2015,"https://doi.org/10.1134/s2070046615020065",1],[2,0.326,0.6932,"Correspondence coloring and its application to list-coloring planar graphs without cycles of lengths 4 to 8",2017,"https://doi.org/10.1016/j.jctb.2017.09.001",1],[2,-0.0847,0.6995,"Burghelea conjecture and asymptotic dimension of groups",2018,"https://doi.org/10.1142/s1793525319500559",1],[2,0.1336,0.8508,"On the Sum of Linear Coefficients of a Boolean Valued Function",2016,"https://arxiv.org/abs/1611.01029",1],[2,-0.1406,0.8333,"GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES",2017,"https://doi.org/10.1017/fms.2017.21",1],[2,-0.7434,0.3487,"Eigensystem multiscale analysis for Anderson localization in energy intervals",2018,"https://doi.org/10.4171/jst/261",1],[2,0.3121,0.5889,"Finite reflection groups and graph norms",2017,"https://doi.org/10.1016/j.aim.2017.05.009",4],[2,0.28,0.8228,"Algorithmic discrepancy beyond partial coloring",2017,"https://doi.org/10.1145/3055399.3055490",1],[2,0.636,-0.0802,"Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic",2017,"https://doi.org/10.1109/tc.2017.2690633",2],[2,-0.4569,0.4852,"Definability of Cai-Fürer-Immerman Problems in Choiceless Polynomial Time",2016,"https://doi.org/10.4230/lipics.csl.2016.19",2],[2,-0.3472,0.7553,"Fibers and local connectedness of planar continua",2017,"https://doi.org/10.48550/arxiv.1703.05914",1],[2,0.8207,-0.1499,"Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems",2016,"https://doi.org/10.1007/s11511-016-0140-6",1],[2,-0.4613,0.6521,"Double dimers, conformal loop ensembles and isomonodromic deformations",2018,"https://doi.org/10.4171/jems/830",1],[2,-0.7505,-0.3649,"Approximating $L^2$-invariants by their classical counterparts",2016,"https://doi.org/10.4171/emss/18",1],[2,0.4112,-0.5086,"Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun",2018,"https://doi.org/10.1090/conm/712/14346",7],[2,-0.6646,0.4109,"The homology of the Higman–Thompson groups",2019,"https://doi.org/10.1007/s00222-018-00848-z",1],[2,0.5909,-0.3191,"An improved bound on the packing dimension of Furstenberg sets in the plane",2019,"https://doi.org/10.4171/jems/933",2],[2,0.6444,0.5863,"Lyapunov exponents for random perturbations of some area-preserving maps including the standard map",2016,"https://doi.org/10.4007/annals.2017.185.1.5",1],[2,0.7307,0.2234,"Quantum and non-signalling graph isomorphisms",2018,"https://doi.org/10.1016/j.jctb.2018.11.002",1],[2,-0.2162,0.832,"Haldane relation for interacting dimers",2017,"https://doi.org/10.1088/1742-5468/aa5d1f",1],[2,-0.6354,0.168,"Ground State Properties of Antiferromagnetic Chains with Unrestricted Spin: Integer Spin Chains as Realisations of the O(3) Non-Linear Sigma Model",2016,"https://arxiv.org/abs/1612.00076",2],[2,-0.1005,-0.8082,"Finite time blowup for a supercritical defocusing nonlinear Schrödinger system",2017,"https://doi.org/10.2140/apde.2018.11.383",1],[2,-0.7764,0.2221,"Kochen-Specker sets and Hadamard matrices",2019,"https://doi.org/10.1016/j.tcs.2019.10.021",1],[2,0.3896,-0.7028,"The fundamental group of compact Kähler threefolds",2019,"https://doi.org/10.2140/gt.2019.23.3233",1],[2,-0.173,0.5585,"Local Kesten–McKay Law for Random Regular Graphs",2019,"https://doi.org/10.1007/s00220-019-03345-3",3],[2,-0.3079,0.744,"Limits of random tree-like discrete structures",2020,"https://doi.org/10.1214/19-ps338",1],[2,-0.1907,0.6098,"Spontaneous breakdown of continuous symmetries near two dimensions",1976,"https://doi.org/10.1103/physrevb.14.3110",2],[2,0.4647,0.4719,"On the local Birkhoff conjecture for convex billiards",2018,"https://doi.org/10.4007/annals.2018.188.1.6",2],[2,0.5471,-0.5165,"Erratum : “Finite complex reflection groups”",1978,"https://doi.org/10.24033/asens.1358",1],[2,-0.8271,0.2453,"An application of positive definite functions to the problem of MUBs",2017,"https://doi.org/10.1090/proc/13829",1],[2,-0.582,0.4386,"Subgroups of almost finitely presented groups",2018,"https://doi.org/10.1007/s00208-018-1689-5",1],[2,0.6212,0.2347,"Trace reconstruction with exp(O(n 1/3 )) samples",2017,"https://doi.org/10.1145/3055399.3055494",2],[2,0.0219,-0.7409,"Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci",2016,"https://doi.org/10.1142/10374",1],[2,0.6937,0.2752,"Optimal mean-based algorithms for trace reconstruction",2017,"https://doi.org/10.1145/3055399.3055450",1],[2,-0.0518,-0.7563,"Optimal Lipschitz extensions and the infinity laplacian",2001,"https://doi.org/10.1007/s005260000065",1],[2,0.6369,0.5614,"Limit cycles of the classical Liénard differential systems: A survey on the Lins Neto, de Melo and Pugh’s conjecture",2016,"https://doi.org/10.1016/j.exmath.2016.12.001",1],[2,-0.4804,-0.6773,"SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY",1982,"https://doi.org/10.1515/9781400881918-002",1],[2,0.4782,0.4585,"Almost sure convergence of the multiple ergodic average for certain weakly mixing systems",2017,"https://doi.org/10.1007/s10114-017-6366-1",4],[2,-0.4511,0.6552,"The endpoint distribution of directed polymers",2020,"https://doi.org/10.1214/19-aop1376",1],[2,-0.5708,-0.6607,"A quantitative isoperimetric inequality on the sphere",2016,"https://doi.org/10.1515/acv-2015-0042",1],[2,-0.8272,-0.0288,"Projections in Free Product C*-algebras",1998,"https://doi.org/10.1007/s000390050046",1],[2,0.7685,-0.0433,"Approximate Kernel Clustering",2009,"https://doi.org/10.1112/s002557930000098x",1],[2,0.6441,-0.0872,"Fourier interpolation on the real line",2018,"https://doi.org/10.1007/s10240-018-0101-z",3],[2,0.0144,0.7972,"Representations of Elementary Abelian p-Groups and Vector Bundles",2016,"https://doi.org/10.1017/9781316795699",1],[2,-0.6474,0.3938,"A multivariate Remez-type inequality with $\\varphi$-concave weights",2017,"https://doi.org/10.4064/cm6884-7-2016",1],[2,0.7081,0.2305,"On metric Ramsey-type phenomena",2005,"https://doi.org/10.4007/annals.2005.162.643",1],[2,-0.4844,-0.7013,"Estimations $\\mathrm{L}^2$ pour l'opérateur $\\bar \\partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète",1982,"https://doi.org/10.24033/asens.1434",1],[2,0.3086,0.5672,"A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem",2018,"https://doi.org/10.4064/aa170828-26-8",2],[2,0.7851,0.343,"Corrigendum: Sampling regular graphs and a peer-to-peer network",2012,"https://arxiv.org/abs/1203.6111",1],[2,0.7541,-0.2308,"On the Erdös flat polynomials problem, Chowla conjecture and Riemann Hypothesis",2016,"https://arxiv.org/abs/1609.03435",1],[2,0.7808,0.143,"Stochastic Games",1953,"https://doi.org/10.1073/pnas.39.10.1095",1],[2,-0.7795,0.0012,"A new proof of the Tikuisis–White–Winter theorem",2018,"https://doi.org/10.1515/crelle-2017-0056",1],[2,-0.7445,-0.1181,"Prime factors",1996,"https://doi.org/10.1073/pnas.93.23.12762",1],[2,-0.6532,-0.0932,"Examples of Descent up to Nilpotence",2018,"https://doi.org/10.1007/978-3-319-94033-5_11",2],[2,0.418,-0.497,"Représentations linéaires des groupes kählériens : factorisations et conjecture de Shafarevich linéaire",2014,"https://doi.org/10.1112/s0010437x14007751",3],[2,0.6423,0.121,"The complexity of mean payoff games on graphs",1996,"https://doi.org/10.1016/0304-3975(95)00188-3",3],[2,-0.7551,-0.0016,"The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension",2016,"https://arxiv.org/abs/1611.05159",1],[2,0.7203,-0.3621,"Polynomial Wolff axioms and Kakeya-type estimates in R4",2018,"https://doi.org/10.1112/plms.12138",1],[2,0.6158,-0.2032,"Some Problems in Harmonic Analysis",2017,"https://arxiv.org/abs/1701.06637",3],[2,0.7768,0.3332,"The switch Markov chain for sampling irregular graphs and digraphs",2017,"https://doi.org/10.1016/j.tcs.2017.11.010",1],[2,-0.5986,0.2792,"Universal quantum Hamiltonians",2018,"https://doi.org/10.1073/pnas.1804949115",2],[2,0.5393,0.5227,"Théorèmes ergodiques pour des mesures diagonales",1984,"https://doi.org/10.24033/bsmf.2003",1],[2,0.1574,-0.6405,"Lemmes de zéros dans les groupes algébriques commutatifs",1986,"https://doi.org/10.24033/bsmf.2060",2],[2,0.7377,0.0454,"Simple Proof of Hardness of Feedback Vertex Set",2016,"https://doi.org/10.4086/toc.2016.v012a006",1],[2,0.7638,-0.019,"Plongements lipschitziens dans ${\\bbfR}\\sp n$",1983,"https://doi.org/10.24033/bsmf.1997",1],[2,0.2731,-0.7454,"Approximations rationnelles de $\\pi$ et quelques autres nombres",1974,"https://doi.org/10.24033/msmf.139",1],[2,0.4573,-0.5374,"Sur les fonctions conjuguées",1916,"https://doi.org/10.24033/bsmf.965",1],[2,-0.8414,-0.0664,"Derivations of simple $C^*$-algebras. II",1971,"https://doi.org/10.24033/bsmf.1719",1],[2,0.6366,-0.4092,"Structure des surfaces de Kato",1984,"https://doi.org/10.24033/msmf.297",1],[2,0.5552,-0.606,"Fibrés vectoriels positifs sur une courbe elliptique",1972,"https://doi.org/10.24033/bsmf.1746",1],[2,-0.7256,0.4442,"Croissance polynomiale et périodes des fonctions harmoniques",1973,"https://doi.org/10.24033/bsmf.1764",1],[2,0.6418,0.5432,"Sur la distribution de certaines séries aléatoires",1971,"https://doi.org/10.24033/msmf.42",1],[2,0.6156,0.5343,"Sur les cycles limites",1923,"https://doi.org/10.24033/bsmf.1031",1],[2,0.4099,-0.5211,"Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$",1972,"https://doi.org/10.24033/bsmf.1743",7],[2,-0.5362,0.5907,"Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques suivant un module premier",1878,"https://doi.org/10.24033/bsmf.127",1],[2,0.3578,-0.6391,"Induced ${\\cal D}$-modules and differential complexes",1989,"https://doi.org/10.24033/bsmf.2128",1],[2,-0.1311,-0.7142,"Regularity of higher order in two-phase free boundary problems",2018,"https://doi.org/10.1090/tran/7550",1],[2,-0.8416,0.2347,"Local incompressibility estimates for the Laughlin phase",2018,"https://doi.org/10.1007/s00220-018-3181-1",1],[2,0.3232,-0.577,"The Lefschetz-Riemann-Roch formula",1969,"https://doi.org/10.24033/bsmf.1680",2],[2,0.1036,-0.6551,"Mathematics of Public Key Cryptography",2012,"https://doi.org/10.1017/cbo9781139012843",2],[2,0.8038,0.0663,"Towards a proof of the 2-to-1 games conjecture?",2018,"https://doi.org/10.1145/3188745.3188804",1],[2,-0.6669,0.407,"L'application exponentielle dans les groupes de Lie résolubles",1957,"https://doi.org/10.24033/bsmf.1483",1],[2,-0.5249,-0.3975,"On the geometry of the countably branching diamond graphs",2017,"https://doi.org/10.1016/j.jfa.2017.05.013",4],[2,0.339,0.7417,"The list chromatic number of graphs with small clique number",2018,"https://doi.org/10.1016/j.jctb.2018.06.007",1],[2,-0.778,-0.0971,"Cohomology of operator algebras. III : reduction to normal cohomology",1972,"https://doi.org/10.24033/bsmf.1731",1],[2,-0.6432,-0.4567,"Sur les $n$-applications",1979,"https://doi.org/10.24033/msmf.247",1],[2,-0.0,-0.8124,"$2^\\infty$-Selmer groups, $2^\\infty$-class groups, and Goldfeld's conjecture",2017,"https://arxiv.org/abs/1702.02325",1],[2,0.7542,0.146,"Deciding parity games in quasipolynomial time",2017,"https://doi.org/10.1145/3055399.3055409",1],[2,0.8338,0.1577,"A Quasi-Polynomial Black-Box Algorithm for Fixed Point Evaluation",2017,"https://doi.org/10.4230/lipics.csl.2021.9",1],[2,0.5626,-0.3094,"Some remarks on Fourier restriction estimates",2017,"https://arxiv.org/abs/1702.01231",2],[2,0.6852,0.4557,"Fundamental limits of symmetric low-rank matrix estimation",2018,"https://doi.org/10.1007/s00440-018-0845-x",1],[2,0.6339,-0.2044,"On Polynomials ∑±nzm,∑eαminzm,z=e0i",1966,"https://doi.org/10.1112/jlms/s1-41.1.367",3],[2,0.5232,-0.6579,"THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC",2017,"https://doi.org/10.1017/nmj.2017.2",1],[2,-0.0525,0.6371,"The Saxl Conjecture for Fourth Powers via the Semigroup Property",2015,"https://arxiv.org/abs/1511.02387",2],[2,-0.6299,0.2061,"Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region",2019,"https://doi.org/10.4007/annals.2019.190.1.1",3],[2,-0.5277,-0.6398,"Continuity, curvature, and the general covariance of optimal transportation",2010,"https://doi.org/10.4171/jems/221",1],[2,-0.4381,0.4644,"On polynomial time computation over unordered structures",2002,"https://doi.org/10.2178/jsl/1190150152",2],[2,0.696,-0.2888,"The variation of the maximal function of a radial function",2018,"https://doi.org/10.4310/arkiv.2018.v56.n1.a9",1],[2,-0.261,0.7554,"Lie superalgebras and some characters of S n",2012,"https://doi.org/10.1007/s11856-012-0095-z",1],[2,0.4452,-0.4869,"A general extension theorem for cohomology classes on non reduced analytic subspaces",2017,"https://doi.org/10.1007/s11425-017-9066-0",2],[2,-0.7564,-0.3168,"Witt groups of sheaves on topological spaces",2008,"https://doi.org/10.4171/cmh/125",1],[2,-0.6721,0.4625,"Convexity of parabolic subgroups in Artin groups",2014,"https://doi.org/10.1112/blms/bdu077",1],[2,0.7082,0.0533,"Hardness of Coloring 2-Colorable 12-Uniform Hypergraphs with $2^{(\\log {n})^{\\Omega(1)}}$ Colors",2017,"https://doi.org/10.1137/15100240x",1],[2,-0.2843,0.5929,"Busemann Functions and Infinite Geodesics in Two-Dimensional First-Passage Percolation",2014,"https://doi.org/10.1007/s00220-013-1875-y",2],[2,0.5761,-0.4763,"Fano n-folds with nef tangent bundle and Picard number greater than $$n-5$$ n - 5",2016,"https://doi.org/10.1007/s00209-016-1652-7",1],[2,-0.3781,-0.7319,"The singular set of 1-1 integral currents",2009,"https://doi.org/10.4007/annals.2009.169.741",1],[2,-0.6477,0.5391,"$N$-step energy of maps and the fixed-point property of random groups",2012,"https://doi.org/10.4171/ggd/171",1],[2,0.6375,-0.5709,"Topological Triviality of μ-Constant Deformations of Type f (x ) + tg (x )",1999,"https://doi.org/10.1112/s0024609399006086",1],[2,0.3914,-0.5328,"The Chow Groups and the Motive of the Hilbert Scheme of Points on a Surface",2002,"https://doi.org/10.1006/jabr.2001.9105",2],[2,-0.6455,0.3967,"Dynamic characterizations of quasi-isometry and applications to cohomology",2018,"https://doi.org/10.2140/agt.2018.18.3477",1],[2,0.3766,-0.5336,"The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension",2012,"https://doi.org/10.1090/s1056-3911-2012-00574-8",15],[2,-0.5292,0.6097,"Categoricity for abstract classes with amalgamation",1999,"https://doi.org/10.1016/s0168-0072(98)00016-5",1],[2,0.376,-0.6146,"Multiplicities associated to graded families of ideals",2013,"https://doi.org/10.2140/ant.2013.7.2059",1],[2,0.5519,0.3665,"A Time-Space Lower Bound for a Large Class of Learning Problems",2017,"https://doi.org/10.1109/focs.2017.73",4],[2,0.3374,-0.5735,"Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry",2019,"https://doi.org/10.1137/17m1160148",2],[2,0.3533,-0.7603,"On the Sum ∑k=1xd(f(k))",1952,"https://doi.org/10.1112/jlms/s1-27.1.7",1],[2,-0.5075,-0.6312,"Local spectral convergence in RCD∗(K,N) spaces",2017,"https://doi.org/10.1016/j.na.2017.04.003",1],[2,-0.7284,-0.2124,"Construction de représentations $p$-adiques",1982,"https://doi.org/10.24033/asens.1437",1],[2,0.0249,-0.6618,"Local-global compatibility for $l=p$, II",2014,"https://doi.org/10.24033/asens.2212",2],[2,-0.4719,-0.6661,"$C^\\infty$ approximations of convex, subharmonic, and plurisubharmonic functions",1979,"https://doi.org/10.24033/asens.1361",1],[2,0.7757,0.1125,"Flots et tensions dans un graphe",1964,"https://doi.org/10.24033/asens.1132",1],[2,0.7821,-0.1632,"A simple proof of the Rademacher theorem",1988,"https://doi.org/10.21136/cpm.1988.118346",1],[2,-0.6494,-0.4463,"Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert",1980,"https://doi.org/10.24033/asens.1376",1],[2,0.5541,-0.6667,"Equisingular and equinormalizable deformations of isolated non-normal singularities",2017,"https://doi.org/10.4310/maa.2017.v24.n2.a3",1],[2,0.5544,-0.6533,"Characterization of the unit ball in ? n by its automorphism group",1977,"https://doi.org/10.1007/bf01403050",1],[2,0.0537,-0.6556,"Équations différentielles linéaires et majorations de multiplicités",1985,"https://doi.org/10.24033/asens.1488",2],[2,0.4401,-0.7251,"Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II",2015,"https://arxiv.org/abs/1507.05082",1],[2,-0.3842,0.7662,"The probabilistic analysis of a greedy satisfiability algorithm",2005,"https://doi.org/10.1002/rsa.20104",1],[2,0.6531,-0.5272,"Stability conditions on Kuznetsov components",2023,"https://doi.org/10.24033/asens.2539",1],[2,0.7292,0.4836,"Existence of Stein kernels under a spectral gap, and discrepancy bounds",2019,"https://doi.org/10.1214/18-aihp898",1],[2,-0.0565,0.6617,"Critical classes, Kronecker products of spin characters, and the Saxl conjecture",2018,"https://doi.org/10.5802/alco.18",2],[2,0.0113,-0.6482,"Heegner points and derivatives ofL-series",1986,"https://doi.org/10.1007/bf01388809",4],[2,-0.7103,0.0847,"Modular Hamiltonians on the null plane and the Markov property of the vacuum state",2017,"https://doi.org/10.1088/1751-8121/aa7eaa",1],[2,0.6867,0.2829,"The Weighted Matching Approach to Maximum Cardinality Matching",2017,"https://doi.org/10.3233/fi-2017-1555",1],[2,0.3112,-0.5609,"Klt varieties with trivial canonical class: holonomy, differential forms, and fundamental groups",2019,"https://doi.org/10.2140/gt.2019.23.2051",3],[2,0.8312,0.0979,"The Matching Problem in General Graphs Is in Quasi-NC",2017,"https://doi.org/10.1109/focs.2017.70",1],[2,0.8681,-0.1052,"On the stability of Brunn–Minkowski type inequalities",2017,"https://doi.org/10.1016/j.jfa.2017.04.008",1],[2,0.6621,0.2394,"Operator Scaling: Theory and Applications",2019,"https://doi.org/10.1007/s10208-019-09417-z",1],[2,-0.4119,0.6108,"Quantum ergodicity on graphs: From spectral to spatial delocalization",2019,"https://doi.org/10.4007/annals.2019.189.3.3",1],[2,0.6777,-0.2462,"A sharp estimate for the Hilbert transform along finite order lacunary sets of directions",2018,"https://doi.org/10.1007/s11856-018-1724-y",1],[2,0.5689,0.5193,"On Herman's positive entropy conjecture",2019,"https://doi.org/10.1016/j.aim.2019.04.002",1],[2,-0.4137,0.6217,"Quantum ergodicity for the Anderson model on regular graphs",2017,"https://doi.org/10.1063/1.5000962",1],[2,-0.7319,0.0878,"Antiunitary representations and modular theory",2017,"https://doi.org/10.4064/bc113-0-16",1],[2,0.7292,-0.3719,"An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³",2018,"https://doi.org/10.1090/jams/907",1],[2,-0.3677,-0.7044,"Hypersymplectic 4-manifolds, the G2-Laplacian flow, and extension assuming bounded scalar curvature",2018,"https://doi.org/10.1215/00127094-2018-0040",1],[2,-0.5957,0.4231,"CAT(0) cube complexes and groups",2014,"https://doi.org/10.1090/pcms/021/02",1],[2,0.7528,0.1635,"Using q-calculus to study LDLt factorization of a certain Vandermonde matrix",2018,"https://doi.org/10.7153/oam-2018-12-45",1],[2,0.1544,-0.0321,"The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis",1983,"https://doi.org/10.1007/978-3-642-61497-2",4],[2,-0.6857,0.211,"Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels",2017,"https://arxiv.org/abs/1705.00499",1],[2,0.7939,0.0605,"Improved Inapproximability Results for Maximum k-Colorable Subgraph",2013,"https://doi.org/10.4086/toc.2013.v009a011",1],[2,0.7571,0.4303,"Concatenation Hierarchies: New Bottle, Old Wine",2017,"https://doi.org/10.1007/978-3-319-58747-9_5",1],[2,0.8022,0.0941,"A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents",2000,"https://doi.org/10.1007/s004930070007",1],[2,0.2254,-0.6686,"A Torelli Theorem for Higher-Dimensional Function Fields",2017,"https://arxiv.org/abs/1705.01084",1],[2,-0.7134,0.1103,"Quantum versus classical proofs and advice",2007,"https://doi.org/10.4086/toc.2007.v003a007",1],[2,0.1395,0.8287,"Testing Hereditary Properties of Ordered Graphs and Matrices",2017,"https://doi.org/10.1109/focs.2017.83",1],[2,-0.3381,0.5454,"Mean-field behavior for nearest-neighbor percolation in $d>10$",2017,"https://doi.org/10.1214/17-ejp56",2],[2,0.7664,0.1225,"Pseudorandom generators for space-bounded computation",1992,"https://doi.org/10.1007/bf01305237",1],[2,0.2022,-0.8113,"Approximate Inclusion-Exclusion",1990,"https://doi.org/10.1007/bf02128670",1],[2,0.2112,-0.7933,"SUR LES PLUS GRANDS FACTEURS PREMIERS D'ENTIERS CONSÉCUTIFS",2018,"https://doi.org/10.1112/s0025579317000547",1],[2,-0.3979,0.669,"Spectral Gap Estimates in Mean Field Spin Glasses",2018,"https://doi.org/10.1007/s00220-018-3152-6",1],[2,-0.4089,0.7234,"Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems",2017,"https://doi.org/10.21468/scipostphys.2.3.019",1],[2,-0.2761,0.5886,"Sharp phase transition for the random-cluster and Potts models via decision trees",2019,"https://doi.org/10.4007/annals.2019.189.1.2",4],[2,-0.4512,-0.5683,"Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces",2018,"https://doi.org/10.1016/j.jde.2018.07.029",1],[2,-0.456,-0.564,"Ricci Tensor on $$\\mathrm{RCD}^*(K, N)$$ RCD ∗ ( K , N ) Spaces",2017,"https://doi.org/10.1007/s12220-017-9863-7",1],[2,-0.8019,0.1128,"Tensor Categories for Vertex Operator Superalgebra Extensions",2024,"https://doi.org/10.1090/memo/1472",1],[2,0.1159,-0.8487,"Eine neue Art von Zetafunktionen und ihre Beziehungen zur Verteilung der Primzahlen",1918,"https://doi.org/10.1007/bf01465095",1],[2,-0.7304,0.2025,"Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems",2018,"https://doi.org/10.1090/conm/717/14443",1],[2,-0.2406,0.7069,"The spectra of arrangement graphs",2017,"https://doi.org/10.1016/j.laa.2017.05.032",1],[2,-0.2816,0.696,"Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps",2019,"https://doi.org/10.1214/18-aihp917",1],[2,0.6525,-0.422,"On projectively flat Hermitian manifolds",1994,"https://doi.org/10.4310/cag.1994.v2.n1.a6",1],[2,-0.7815,0.286,"Pair production of scalar dyons in Kerr–Newman black holes",2018,"https://doi.org/10.1016/j.physletb.2018.03.078",1],[2,0.662,0.058,"The Unique Games Conjecture, Integrality Gap for Cut Problems and Embeddability of Negative-Type Metrics into ℓ 1",2015,"https://doi.org/10.1145/2629614",3],[2,-0.7793,-0.2307,"Gross–Hopkins duals of higher real K–theory spectra",2018,"https://doi.org/10.1090/tran/7730",1],[2,-0.7794,-0.1638,"Simple nuclear C *-algebras not isomorphic to their opposites",2017,"https://doi.org/10.1073/pnas.1619936114",1],[2,0.8115,-0.1594,"A LOCAL UNIQUENESS THEOREM FOR MINIMIZERS OF PETTY's CONJECTURED PROJECTION INEQUALITY",2018,"https://doi.org/10.1112/s0025579317000444",1],[2,-0.2404,0.6153,"The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity",2021,"https://doi.org/10.1214/20-aop1487",4],[2,0.6261,-0.1235,"A Formula for the Fréchet Derivative of a Generalized Matrix Function",2017,"https://doi.org/10.1137/16m1072851",2],[2,0.2067,0.621,"An O(log n/log log n)-Approximation Algorithm for the Asymmetric Traveling Salesman Problem",2017,"https://doi.org/10.1287/opre.2017.1603",2],[2,0.147,-0.7191,"Large gaps between primes",2016,"https://doi.org/10.4007/annals.2016.183.3.3",1],[2,0.3338,-0.5574,"K-stability of cubic threefolds",2019,"https://doi.org/10.1215/00127094-2019-0006",2],[2,-0.4061,-0.6924,"Local entropy rigidity for hyperbolic manifolds",1995,"https://doi.org/10.4310/cag.1995.v3.n4.a2",1],[2,0.3332,0.6968,"Algorithmic and Enumerative Aspects of the Moser-Tardos Distribution",2017,"https://doi.org/10.1145/3039869",1],[2,0.6352,-0.131,"Symmetric Mahler’s conjecture for the volume product in the 3-dimensional case",2020,"https://doi.org/10.1215/00127094-2019-0072",3],[2,-0.5076,0.562,"On existential definitions of c.e. subsets of rings of functions of characteristic 0",2021,"https://doi.org/10.1016/j.apal.2021.103076",1],[2,-0.6518,-0.0446,"Asymptotically Optimal Multi-Paving",2019,"https://doi.org/10.1093/imrn/rnz111",2],[2,-0.3061,0.5621,"A general method for lower bounds on fluctuations of random variables",2019,"https://doi.org/10.1214/18-aop1304",3],[2,0.1319,0.7904,"Efficient Removal Lemmas for Matrices",2019,"https://doi.org/10.1007/s11083-019-09494-3",1],[2,0.2095,-0.8396,"A new proof of Halász’s theorem, and its consequences",2018,"https://doi.org/10.1112/s0010437x18007522",1],[2,0.3887,-0.6133,"Thresholds, valuations, and K-stability",2020,"https://doi.org/10.1016/j.aim.2020.107062",1],[2,-0.7245,0.0301,"A new proof of Kirchberg's $\\mathcal O_2$-stable classification",2017,"https://arxiv.org/abs/1706.03690",1],[2,-0.7466,0.1555,"Hardness amplification for entangled games via anchoring",2017,"https://doi.org/10.1145/3055399.3055433",1],[2,0.1377,-0.721,"Additive correlation and the inverse problem for the large sieve",2018,"https://doi.org/10.1017/s0305004118000518",1],[2,-0.2916,0.7889,"Extremality of the Disordered State for the Ising Model on General Trees",1996,"https://doi.org/10.1007/978-3-0348-9037-3_1",1],[2,-0.6391,-0.199,"Courbes et fibrés vectoriels en théorie de Hodge p-adique",2018,"https://doi.org/10.24033/ast.1056",4],[2,-0.1698,0.6447,"First passage sets of the 2D continuum Gaussian free field",2019,"https://doi.org/10.1007/s00440-019-00941-1",3],[2,-0.608,0.2229,"Topologie et équations fonctionnelles",1934,"https://doi.org/10.24033/asens.836",5],[2,0.5157,-0.519,"The Weights of the Tautological Classes of Character Varieties",2016,"https://doi.org/10.1093/imrn/rnv363",1],[2,-0.1056,0.6473,"Rationality of blocks of quasi-simple finite groups",2019,"https://doi.org/10.1090/ert/530",2],[2,0.055,-0.7031,"Small points and Arakelov theory",1998,"https://doi.org/10.4171/dms/1-2/21",1],[2,0.7406,-0.269,"Square functions for bi-Lipschitz maps and directional operators",2018,"https://doi.org/10.1016/j.jfa.2018.07.005",1],[2,0.1057,-0.8317,"Integral points on Markoff type cubic surfaces",2022,"https://doi.org/10.1007/s00222-022-01114-z",1],[2,-0.7571,0.2229,"Real and complex unbiased Hadamard matrices",2012,"https://arxiv.org/abs/1201.0631",1],[2,0.4257,-0.5,"Hyperbolicity of Varieties Supporting a Variation of Hodge Structure",2018,"https://doi.org/10.1093/imrn/rny054",3],[2,-0.1359,0.8169,"A new family of irreducible subgroups of the orthogonal algebraic groups",2019,"https://doi.org/10.1090/btran/28",1],[2,-0.2991,-0.6965,"Closed geodesics with local homology in maximal degree on non-compact manifolds",2017,"https://doi.org/10.1016/j.difgeo.2017.11.007",1],[2,0.5951,-0.4768,"Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds",2019,"https://doi.org/10.1215/00127094-2018-0053",1],[2,-0.6505,-0.1252,"(∞,C)-isometric operators",2017,"https://doi.org/10.7153/oam-11-56",2],[2,-0.7085,-0.3217,"Round handle problem",2021,"https://doi.org/10.4310/pamq.2021.v17.n1.a6",1],[2,-0.2744,0.8069,"Information-Theoretic Indistinguishability via the Chi-Squared Method",2017,"https://doi.org/10.1007/978-3-319-63697-9_17",1],[2,0.6724,0.0498,"On non-optimally expanding sets in Grassmann graphs",2018,"https://doi.org/10.1007/s11856-021-2164-7",2],[2,-0.6108,-0.5519,"The Numerical Range is a $(1+\\sqrt{2})$-Spectral Set",2017,"https://doi.org/10.1137/17m1116672",1],[2,0.2772,-0.7031,"On the geometric Langlands conjecture",2000,"https://arxiv.org/abs/math/0012255",1],[2,0.5805,-0.2708,"Schrödinger maximal function and restriction properties of the Fourier transform",1996,"https://doi.org/10.1155/s1073792896000499",2],[2,0.3695,-0.6228,"Collections of Hypersurfaces Containing a Curve",2018,"https://doi.org/10.1093/imrn/rny120",1],[2,-0.3334,0.7896,"Exponential Decay for the Near‐Critical Scaling Limit of the Planar Ising Model",2020,"https://doi.org/10.1002/cpa.21884",1],[2,0.8036,0.3283,"Distributed MST and Routing in Almost Mixing Time",2017,"https://doi.org/10.1145/3087801.3087827",1],[2,0.0999,-0.7318,"Irreducibility and Deterministic r-th Root Finding over Finite Fields",2017,"https://doi.org/10.1145/3087604.3087620",1],[2,-0.7533,-0.3379,"Engel groups and universal surgery models",2020,"https://doi.org/10.1112/topo.12155",1],[2,0.6463,0.3088,"On the Local Structure of Stable Clustering Instances",2017,"https://doi.org/10.1109/focs.2017.14",1],[2,-0.2057,0.7494,"Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point",2020,"https://doi.org/10.4171/jems/1012",1],[2,-0.2852,0.5996,"Self-avoiding walk on $\\mathbb{Z}^{2}$ with Yang–Baxter weights: Universality of critical fugacity and 2-point function",2020,"https://doi.org/10.1214/19-aihp1024",4],[2,0.11,-0.83,"On simultaneous primitive roots",2017,"https://doi.org/10.4064/aa8566-3-2017",1],[2,-0.4806,-0.7129,"Stability of ALE Ricci-Flat Manifolds Under Ricci Flow",2020,"https://doi.org/10.1007/s12220-020-00376-4",1],[2,-0.1922,-0.6944,"Boundary determination of the Lamé moduli for the isotropic elasticity system",2017,"https://doi.org/10.1088/1361-6420/aa942d",1],[2,-0.41,-0.5159,"Non-collapsed spaces with Ricci curvature bounded from below",2018,"https://doi.org/10.5802/jep.80",2],[2,0.7302,-0.0989,"Localization of Electrical Flows",2018,"https://doi.org/10.1137/1.9781611975031.103",1],[2,-0.3339,0.7626,"Noise sensitivity and Voronoi percolation",2018,"https://doi.org/10.1214/18-ejp233",1],[2,-0.5834,-0.6269,"Notes on the bounded cohomology theory",2017,"https://arxiv.org/abs/1708.05150",1],[2,-0.3211,0.7994,"Natural parametrization of SLE: the Gaussian free field point of view",2018,"https://doi.org/10.1214/18-ejp232",1],[2,0.6203,0.41,"Rapid Mixing of Hamiltonian Monte Carlo on Strongly Log-Concave Distributions",2017,"https://arxiv.org/abs/1708.07114",1],[2,-0.7451,-0.4316,"Stable Modules and the D(2)-Problem",2003,"https://doi.org/10.1017/cbo9780511550256",1],[2,-0.6607,-0.2605,"Detecting exotic spheres in low dimensions using coker J",2020,"https://doi.org/10.1112/jlms.12301",1],[2,-0.1833,-0.6202,"Quantitative Runge Approximation and Inverse Problems",2017,"https://doi.org/10.1093/imrn/rnx301",2],[2,-0.2177,0.6203,"Deterministic Encryption with the Thorp Shuffle",2017,"https://doi.org/10.1007/s00145-017-9262-z",3],[2,0.3145,0.6851,"The Johansson‐Molloy theorem for DP‐coloring",2018,"https://doi.org/10.1002/rsa.20811",1],[2,0.6894,-0.5094,"Ergodic complex structures on hyperkahler manifolds: an erratum",2017,"https://arxiv.org/abs/1708.05802",1],[2,0.6404,-0.1132,"Metric Embedding via Shortest Path Decompositions",2022,"https://doi.org/10.1137/19m1296021",2],[2,0.7729,0.3625,"Quasi-PTAS for Scheduling with Precedences using LP Hierarchies",2017,"https://doi.org/10.4230/lipics.icalp.2018.59",1],[2,0.5691,0.5744,"Nonsmooth convex caustics for Birkhoff billiards",2018,"https://doi.org/10.2140/pjm.2018.295.257",1],[2,0.7092,0.1452,"Viscosity solutions of Hamilton-Jacobi equations",1983,"https://doi.org/10.1090/s0002-9947-1983-0690039-8",1],[2,0.7625,-0.3155,"Endpoint Sobolev and BV continuity for maximal operators",2017,"https://doi.org/10.1016/j.jfa.2017.08.012",1],[2,-0.4042,-0.7559,"Tamed to compatible when b^(2+) = 1 and b^1 = 2",2017,"https://arxiv.org/abs/1708.04279",1],[2,0.7992,0.1642,"Improved Rectangular Matrix Multiplication using Powers of the Coppersmith-Winograd Tensor",2018,"https://doi.org/10.1137/1.9781611975031.67",1],[2,-0.8271,0.1774,"Approaches for approximate additivity of the Holevo information of quantum channels",2018,"https://doi.org/10.1103/physreva.97.012332",1],[2,-0.714,-0.3245,"A Zariski--Nagata theorem for smooth ℤ-algebras",2018,"https://doi.org/10.1515/crelle-2018-0012",1],[2,-0.3309,-0.6228,"Cohomogeneity‐one G2‐Laplacian flow on the 7‐torus",2018,"https://doi.org/10.1112/jlms.12137",1],[2,0.4871,-0.6279,"Bridgeland stability on blow ups and counterexamples",2018,"https://doi.org/10.1007/s00209-018-2149-3",1],[2,-0.4942,-0.4354,"Remarks on the Crouzeix--Palencia Proof that the Numerical Range is a (1+\\sqrt2)-Spectral Set",2018,"https://doi.org/10.1137/17m1143757",2],[2,-0.673,-0.3343,"An elementary proof for Poincare Duality with local coefficients",2017,"https://arxiv.org/abs/1709.00569",1],[2,0.641,0.5162,"Absolute continuity of non-homogeneous self-similar measures",2018,"https://doi.org/10.1016/j.aim.2018.06.015",1],[2,-0.733,-0.2975,"The Balmer spectrum of the equivariant homotopy category of a finite abelian group",2018,"https://doi.org/10.1007/s00222-018-0846-5",1],[2,-0.3622,-0.7847,"Conley pairs in geometry—Lusternik–Schnirelmann theory and more",2017,"https://doi.org/10.1016/j.exmath.2017.10.003",1],[2,-0.7735,-0.381,"Note on uniformly transient graphs",2017,"https://doi.org/10.4171/rmi/957",1],[2,0.7467,0.3276,"Comparing the Switch and Curveball Markov Chains for Sampling Binary Matrices with Fixed Marginals",2017,"https://doi.org/10.4230/lipics.approx-random.2018.36",1],[2,-0.3282,-0.7411,"Product and coproduct in string topology",2024,"https://doi.org/10.24033/asens.2558",1],[2,0.7449,0.3136,"The Matching Polytope has Exponential Extension Complexity",2017,"https://doi.org/10.1145/3127497",1],[2,0.8325,0.1624,"Universal points in the asymptotic spectrum of tensors",2018,"https://doi.org/10.1090/jams/996",1],[2,0.7689,0.3924,"On Graphs and the Gotsman-Linial Conjecture for d = 2",2017,"https://arxiv.org/abs/1709.06650",1],[2,-0.5917,0.6347,"Definability of linear equation systems over groups and rings",2013,"https://doi.org/10.2168/lmcs-9(4:12)2013",1],[2,0.1903,-0.7157,"ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS",2018,"https://doi.org/10.1017/fms.2018.10",1],[2,0.5891,0.5109,"EFFECTIVE CONSTRUCTION OF POINCARÉ-BENDIXSON REGIONS",2017,"https://doi.org/10.11948/2017094",1],[2,0.7344,-0.1561,"On the rigidity of lagrangian products",2019,"https://doi.org/10.4310/jsg.2019.v17.n5.a7",1],[2,-0.6202,0.1928,"Recovery map stability for the data processing inequality",2019,"https://doi.org/10.1088/1751-8121/ab5ab7",2],[2,0.1701,-0.7772,"Joint equidistribution of CM points",2019,"https://doi.org/10.4007/annals.2019.189.1.4",1],[2,0.1818,-0.7049,"Beyond the LSD method for the partial sums of multiplicative functions",2019,"https://doi.org/10.1007/s11139-018-0119-3",1],[2,-0.5052,-0.3931,"A CODING OF BUNDLE GRAPHS AND THEIR EMBEDDINGS INTO BANACH SPACES",2018,"https://doi.org/10.1112/s002557931800027x",3],[2,-0.0018,0.6531,"Regular Morphisms and Gersten's Conjecture",2017,"https://arxiv.org/abs/1710.00303",2],[2,0.0984,-0.825,"Nonlinear descent on moduli of local systems",2020,"https://doi.org/10.1007/s11856-020-2085-x",1],[2,-0.724,-0.2552,"Chromatic homotopy theory is asymptotically algebraic",2020,"https://doi.org/10.1007/s00222-019-00943-9",1],[2,-0.7293,0.2292,"Gaussian optimizers and other topics in quantum information",2017,"https://arxiv.org/abs/1710.09395",1],[2,-0.1961,0.8006,"Percolation without FKG",2017,"https://arxiv.org/abs/1710.10644",1],[2,-0.2015,-0.684,"Calderón problem for connections",2017,"https://doi.org/10.1080/03605302.2017.1390678",1],[2,-0.2313,0.8076,"Statistical Mechanics of Lattice Systems",2017,"https://doi.org/10.1017/9781316882603",1],[2,-0.5072,-0.6468,"Characterizations of monotonicity of vector fields on metric measure spaces",2018,"https://doi.org/10.1007/s00526-018-1388-9",1],[2,0.5943,0.6063,"Existence of Positive Steady States for Weakly Reversible Mass-Action Systems",2019,"https://doi.org/10.1137/17m115534x",1],[2,-0.8293,-0.1241,"A Laplace Principle for Hermitian Brownian Motion and Free Entropy I: the convex functional case",2016,"https://arxiv.org/abs/1604.06420",1],[2,-0.566,-0.6354,"Metric Inequalities with Scalar Curvature",2018,"https://doi.org/10.1007/s00039-018-0453-z",1],[2,0.3214,-0.5759,"Algebraic integrability of foliations with numerically trivial canonical bundle",2019,"https://doi.org/10.1007/s00222-018-00853-2",4],[2,-0.2047,0.7394,"Rarity of extremal edges in random surfaces and other theoretical applications of cluster algorithms",2020,"https://doi.org/10.1214/20-aap1562",1],[2,-0.6803,0.1676,"Composition of PPT maps",2018,"https://doi.org/10.26421/qic18.5-6-4",1],[2,-0.4432,-0.475,"A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature",2018,"https://doi.org/10.1007/978-3-319-64813-2_6",2],[2,-0.2787,0.7293,"Proof of the Achievability Conjectures for the General Stochastic Block Model",2017,"https://doi.org/10.1002/cpa.21719",1],[2,-0.8118,-0.3219,"Multiplicative structure in the stable splitting of ΩSLn(C)",2019,"https://doi.org/10.1016/j.aim.2019.03.022",1],[2,-0.7846,-0.2304,"The -cohomology in the semistable case",2019,"https://doi.org/10.1112/s0010437x1800790x",1],[2,0.6456,-0.1393,"Isotropic constants and Mahler volumes",2018,"https://doi.org/10.1016/j.aim.2018.03.009",2],[2,-0.2441,0.5927,"Random walk on random planar maps: Spectral dimension, resistance and displacement",2021,"https://doi.org/10.1214/20-aop1471",2],[2,-0.152,0.64,"Universality for the random-cluster model on isoradial graphs",2018,"https://doi.org/10.1214/18-ejp223",3],[2,0.7178,0.2273,"Fusible HSTs and the Randomized k-Server Conjecture",2018,"https://doi.org/10.1109/focs.2018.00049",1],[2,-0.4418,0.6817,"Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs",2020,"https://doi.org/10.1090/jams/953",1],[2,-0.6194,-0.4882,"New applications of extremely regular function spaces",2019,"https://doi.org/10.2140/pjm.2019.301.385",1],[2,0.713,0.2313,"k-server via multiscale entropic regularization",2018,"https://doi.org/10.1145/3188745.3188798",1],[2,0.0395,0.7871,"Homological Conjectures and Lim Cohen-Macaulay Sequences",2017,"https://doi.org/10.1007/978-3-319-61943-9_11",1],[2,0.0941,-0.834,"Cohomologically rigid local systems and integrality",2018,"https://doi.org/10.1007/s00029-018-0409-z",1],[2,-0.8058,0.2714,"Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$|a|\\ll M$$",2019,"https://doi.org/10.1007/s40818-018-0058-8",1],[2,-0.0231,0.6648,"Asphericity of Groups Defined by Graphs",2019,"https://doi.org/10.1134/s0001434619030027",2],[2,-0.7264,0.4414,"On the vanishing of reduced 1-cohomology for Banach representations",2021,"https://doi.org/10.5802/aif.3363",1],[2,-0.8094,-0.1683,"Trace spaces of counterexamples to Naimark's problem",2018,"https://doi.org/10.1016/j.jfa.2018.06.018",1],[2,-0.2336,0.7246,"The Fröhlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition",2017,"https://arxiv.org/abs/1711.04720",1],[2,0.3264,0.7603,"Closing in on Hill's Conjecture",2019,"https://doi.org/10.1137/17m1158859",1],[2,0.6953,0.4569,"Better Agnostic Clustering Via Relaxed Tensor Norms",2017,"https://arxiv.org/abs/1711.07465",1],[2,0.7191,-0.326,"On the dimension and smoothness of radial projections",2018,"https://doi.org/10.2140/apde.2019.12.1273",1],[2,-0.7263,0.265,"No static bubbling spacetimes in higher dimensional Einstein–Maxwell theory",2018,"https://doi.org/10.1088/1361-6382/aaa744",1],[2,-0.2206,0.7617,"On the double random current nesting field",2019,"https://doi.org/10.1007/s00440-019-00899-0",1],[2,-0.3409,0.5672,"A very simple proof of the LSI for high temperature spin systems",2019,"https://doi.org/10.1016/j.jfa.2019.01.007",5],[2,0.7514,-0.0527,"Exponential Lower Bounds on Spectrahedral Representations of Hyperbolicity Cones",2019,"https://doi.org/10.1137/1.9781611975482.141",1],[2,0.5462,-0.6377,"The Ax–Schanuel conjecture for variations of Hodge structures",2019,"https://doi.org/10.1007/s00222-019-00863-8",1],[2,0.555,-0.4792,"Real Seifert Forms and Polarizing Forms of Steenbrink Mixed Hodge Structures",2018,"https://doi.org/10.1007/s00574-018-0107-7",1],[2,0.1612,0.0767,"An inverse theorem for the Gowers U^(s+1)[N]-norm",2012,"https://doi.org/10.4007/annals.2012.176.2.11",3],[2,0.2928,0.5936,"On Ryser’s Conjecture for $t$-Intersecting and Degree-Bounded Hypergraphs",2017,"https://doi.org/10.37236/6448",2],[2,-0.6263,-0.1862,"Chromatic splitting for the K(2)–local sphere at p = 2",2022,"https://doi.org/10.2140/gt.2022.26.377",5],[2,0.6569,0.3283,"The Gotsman-Linial Conjecture is False",2018,"https://doi.org/10.1137/1.9781611975031.45",1],[2,-0.6994,-0.5042,"Tingley's problem through the facial structure of operator algebras",2018,"https://doi.org/10.1016/j.jmaa.2018.06.050",1],[2,0.8172,0.0986,"On Counting Perfect Matchings in General Graphs",2018,"https://doi.org/10.1007/978-3-319-77404-6_63",1],[2,-0.5906,0.3984,"On parabolic subgroups of Artin–Tits groups of spherical type",2019,"https://doi.org/10.1016/j.aim.2019.06.010",1],[2,0.3793,-0.5065,"Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines",1985,"https://doi.org/10.24033/msmf.320",2],[2,-0.7,0.2171,"The Conditional Entropy Power Inequality for Bosonic Quantum Systems",2018,"https://doi.org/10.1007/s00220-017-3082-8",1],[2,-0.6179,0.2498,"Bogoliubov theory in the Gross–Pitaevskii limit",2019,"https://doi.org/10.4310/acta.2019.v222.n2.a1",2],[2,0.7283,0.2922,"Scaling Algorithms for Weighted Matching in General Graphs",2018,"https://doi.org/10.1145/3155301",1],[2,-0.619,-0.1857,"Espaces de Banach–Colmez et faisceaux cohérents sur la courbe de Fargues–Fontaine",2018,"https://doi.org/10.1215/00127094-2018-0034",3],[2,0.4224,-0.585,"Frobenius manifolds near the discriminant and relations in the tautological ring",2018,"https://doi.org/10.1007/s11005-018-1047-2",1],[2,0.5456,-0.6575,"The Lipman–Zariski Conjecture in Low Genus",2019,"https://doi.org/10.1093/imrn/rnz154",1],[2,-0.757,0.1936,"Eventually entanglement breaking maps",2018,"https://doi.org/10.1063/1.5024385",1],[2,-0.2175,0.6247,"Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics",2018,"https://doi.org/10.1214/18-ejp182",2],[2,-0.6369,-0.4723,"ISOMETRIES BETWEEN THE UNIT SPHERES OF C 0 (Ω) TYPE SPACES",1994,"https://doi.org/10.1016/s0252-9602(18)30093-6",1],[2,0.2933,0.5939,"What did Ryser Conjecture?",2018,"https://arxiv.org/abs/1801.02893",2],[2,0.0195,-0.6531,"Perrin-Riou’s main conjecture for elliptic curves at supersingular primes",2023,"https://doi.org/10.1007/s00208-023-02711-w",2],[2,-0.3032,0.7179,"Emergent planarity in two-dimensional Ising models with finite-range Interactions",2019,"https://doi.org/10.1007/s00222-018-00851-4",1],[2,0.0634,-0.7872,"The André-Oort conjecture for 𝒜_g",2018,"https://doi.org/10.4007/annals.2018.187.2.2",1],[2,0.6917,-0.3501,"A discretized Severi-type theorem with applications to harmonic analysis",2018,"https://doi.org/10.1007/s00039-018-0455-x",1],[2,0.3952,-0.5024,"Nonvanishing for 3-folds in characteristic p>5",2019,"https://doi.org/10.1215/00127094-2018-0066",2],[2,0.6791,-0.3154,"New Bounds on the Dimensions of Planar Distance Sets",2019,"https://doi.org/10.1007/s00039-019-00500-9",1],[2,-0.6808,0.1722,"Spectral gaps of frustration-free spin systems with boundary",2019,"https://doi.org/10.1063/1.5089773",1],[2,0.7147,-0.3484,"Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds",2020,"https://doi.org/10.2140/apde.2020.13.403",1],[2,-0.6884,-0.3869,"Strict n-categories and augmented directed complexes model homotopy types",2018,"https://doi.org/10.1016/j.aim.2018.04.010",1],[2,-0.0352,0.7367,"On Minrank and the Lovász Theta Function",2018,"https://doi.org/10.4230/lipics.approx-random.2018.13",1],[2,0.8662,0.0543,"Improved NP-Inapproximability for 2-Variable Linear Equations",2017,"https://doi.org/10.4086/toc.2017.v013a019",1],[2,0.7203,-0.3354,"An L2-identity and pinned distance problem",2019,"https://doi.org/10.1007/s00039-019-00482-8",1],[2,-0.4117,-0.5172,"Second order differentiation formula on RCD$(K,N)$ spaces",2018,"https://doi.org/10.4171/jems/1042",2],[2,0.6417,-0.5406,"Algebraic torus actions on contact manifolds",2022,"https://doi.org/10.4310/jdg/1659987892",1],[2,-0.7234,0.4697,"Asymptotics of Cheeger constants and unitarisability of groups",2020,"https://doi.org/10.1016/j.jfa.2019.108457",1],[2,-0.0452,0.7862,"On the Lex-plus-powers Conjecture",2018,"https://doi.org/10.1016/j.aim.2018.10.005",1],[2,0.584,0.4053,"On the Blaschke-Petkantschin Formula and Drury's Identity",2018,"https://arxiv.org/abs/1801.09113",1],[2,-0.1686,0.6316,"Poisson processes and a log-concave Bernstein theorem",2018,"https://doi.org/10.4064/sm180212-30-7",2],[2,-0.1567,0.6496,"Positive-definiteness and integral representations for special functions",2020,"https://doi.org/10.1007/s11117-020-00784-4",3],[2,0.5816,-0.3242,"A restriction estimate in $\\mathbb{R}^3$ using brooms",2018,"https://arxiv.org/abs/1802.04312",2],[2,-0.1115,-0.6964,"Euclidean triangles have no hot spots",2019,"https://doi.org/10.4007/annals.2020.191.1.3",1],[2,0.4344,-0.4979,"On generic nefness of tangent sheaves",2023,"https://doi.org/10.1007/s00209-023-03306-6",7],[2,0.4346,-0.7283,"The normalized volume of a singularity is lower semicontinuous",2020,"https://doi.org/10.4171/jems/1032",1],[2,-0.2905,0.7146,"Critical Liouville measure as a limit of subcritical measures",2019,"https://doi.org/10.1214/19-ecp209",1],[2,0.8274,0.1905,"Faster integer multiplication using short lattice vectors",2019,"https://doi.org/10.2140/obs.2019.2.293",1],[2,0.2245,-0.7268,"HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS",2019,"https://doi.org/10.2206/kyushujm.73.189",1],[2,0.6646,-0.3371,"On the polynomial Wolff axioms",2018,"https://doi.org/10.1007/s00039-018-0466-7",1],[2,-0.2376,-0.8253,"Potentials for $$\\mathcal {A}$$-quasiconvexity",2019,"https://doi.org/10.1007/s00526-019-1544-x",1],[2,0.1027,-0.6524,"A unified and improved Chebotarev density theorem",2019,"https://doi.org/10.2140/ant.2019.13.1039",3],[2,-0.8165,0.2554,"The conditional entropy power inequality for quantum additive noise channels",2018,"https://doi.org/10.1063/1.5027495",1],[2,-0.0728,-0.733,"Convergence Rates for Discretized Monge–Ampère Equations and Quantitative Stability of Optimal Transport",2020,"https://doi.org/10.1007/s10208-020-09480-x",1],[2,-0.129,0.8249,"Donovan’s conjecture and blocks with abelian defect groups",2018,"https://doi.org/10.1090/proc/14316",1],[2,-0.5952,0.2376,"Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature",2018,"https://doi.org/10.1007/s00220-018-3239-0",2],[2,-0.1278,0.7547,"Irreducible Subgroups of Simple Algebraic Groups – A Survey",2019,"https://doi.org/10.1017/9781108692397.010",1],[2,-0.5859,0.4148,"Negative immersions for one-relator groups",2022,"https://doi.org/10.1215/00127094-2021-0024",1],[2,0.6465,0.1236,"A pseudo-quasi-polynomial algorithm for mean-payoff parity games",2018,"https://doi.org/10.1145/3209108.3209162",3],[2,0.5686,0.488,"Finiteness Theorems for Limit Cycles",1991,"https://doi.org/10.1090/mmono/094",1],[2,0.0589,-0.7396,"Die Frage der endlich vielen Schritte in der Theorie der Polynomideale",1926,"https://doi.org/10.1007/bf01206635",1],[2,-0.4918,-0.6039,"New formulas for the Laplacian of distance functions and applications",2020,"https://doi.org/10.2140/apde.2020.13.2091",1],[2,-0.6771,0.2892,"Asymptotic nodal planes in the electron density and the potential in the effective equation for the square root of the density",2018,"https://doi.org/10.1140/epjb/e2018-90225-3",1],[2,0.7274,0.3115,"Rapid mixing of the switch Markov chain for strongly stable degree sequences",2020,"https://doi.org/10.1002/rsa.20949",1],[2,-0.1947,0.8046,"Natural parametrization of percolation interface and pivotal points",2022,"https://doi.org/10.1214/21-aihp1160",1],[2,0.3963,-0.5009,"On the canonical bundle formula and log abundance in positive characteristic",2021,"https://doi.org/10.1007/s00208-021-02231-5",2],[2,0.7836,-0.0908,"Stein kernels and moment maps",2019,"https://doi.org/10.1214/18-aop1305",1],[2,-0.7082,0.1883,"Topological Phase Transition and Z2 Index for S=1 Quantum Spin Chains",2018,"https://doi.org/10.1103/physrevlett.121.140604",1],[2,-0.175,-0.6802,"Propagation of Regularity and Long Time Behavior of the 3D Massive Relativistic Transport Equation II: Vlasov–Maxwell System",2022,"https://doi.org/10.1007/s00220-021-04257-x",1],[2,0.2441,-0.7803,"Arithmetic of Catalan’s constant and its relatives",2019,"https://doi.org/10.1007/s12188-019-00203-w",1],[2,-0.0774,-0.7094,"Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost",2019,"https://doi.org/10.1137/18m1186514",1],[2,-0.4655,0.7196,"Percolation on Hyperbolic Graphs",2019,"https://doi.org/10.1007/s00039-019-00498-0",1],[2,0.0229,0.7208,"Unbounded derived categories and the finitistic dimension conjecture",2019,"https://doi.org/10.1016/j.aim.2019.106735",1],[2,0.0855,-0.7598,"Rational Points on Varieties",2017,"https://doi.org/10.1090/gsm/186",1],[2,-0.5316,0.6051,"The categoricity spectrum of large abstract elementary classes",2019,"https://doi.org/10.1007/s00029-019-0511-x",1],[2,-0.3093,0.7878,"Mathematical Methods in Quantum Mechanics",2014,"https://doi.org/10.1090/gsm/157",1],[2,0.4579,-0.4616,"On weak Zariski decompositions and termination of flips",2020,"https://doi.org/10.4310/mrl.2020.v27.n5.a6",2],[2,-0.1205,0.8392,"The Block Theory of Finite Group Algebras",2018,"https://doi.org/10.1017/9781108349321",1],[2,-0.2842,0.7141,"Convergence of Probability Measures",1999,"https://doi.org/10.1002/9780470316962",1],[2,-0.2307,0.7769,"The First Passage Sets of the 2D Gaussian Free Field: Convergence and Isomorphisms",2020,"https://doi.org/10.1007/s00220-020-03718-z",1],[2,0.733,0.217,"Lovász Meets Weisfeiler and Leman",2018,"https://doi.org/10.4230/lipics.icalp.2018.40",1],[2,-0.6584,0.0128,"A new proof of Kirchberg's 𝒪 2 -stable classification",2018,"https://doi.org/10.1515/crelle-2018-0010",2],[2,-0.7794,-0.1172,"An elementary approach to free entropy theory for convex potentials",2020,"https://doi.org/10.2140/apde.2020.13.2289",1],[2,-0.4957,0.5767,"Categoricity and multidimensional diagrams",2024,"https://doi.org/10.4171/jems/1477",1],[2,-0.2027,0.6332,"Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model",2020,"https://doi.org/10.1214/19-aap1553",2],[2,-0.8051,0.1293,"Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics",2019,"https://doi.org/10.1145/3313276.3316366",1],[2,0.2257,-0.6023,"On the Ramanujan conjecture for automorphic forms over function fields I. Geometry",2020,"https://doi.org/10.1090/jams/968",2],[2,0.3773,0.6804,"Computing Small Unit-Distance Graphs with Chromatic Number 5",2018,"https://arxiv.org/abs/1805.12181",1],[2,-0.7376,0.2336,"New Lower Bounds to the Output Entropy of Multi-Mode Quantum Gaussian Channels",2019,"https://doi.org/10.1109/tit.2019.2914434",1],[2,-0.0421,-0.1212,"Ilyashenko algebras based on transserial asymptotic expansions",2020,"https://doi.org/10.1016/j.aim.2020.107095",3],[2,-0.0001,0.7488,"Local Gersten's conjecture for regular system of parameters",2015,"https://arxiv.org/abs/1503.07966",1],[2,-0.5381,-0.6447,"Bipolar comparison",2019,"https://doi.org/10.1007/s00039-019-00481-9",1],[2,0.5603,0.322,"Some results on the generalized star-height problem",1992,"https://doi.org/10.1016/0890-5401(92)90063-l",3],[2,0.8217,-0.1587,"On the L dual Minkowski problem",2018,"https://doi.org/10.1016/j.aim.2018.05.002",1],[2,-0.6221,0.224,"Framing 3-manifolds with bare hands",2019,"https://doi.org/10.4171/lem/64-3/4-9",2],[2,-0.1816,-0.6331,"The Poisson embedding approach to the Calderón problem",2019,"https://doi.org/10.1007/s00208-019-01818-3",2],[2,-0.1216,-0.6401,"Approximation of W1, Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian",2018,"https://doi.org/10.1016/j.aim.2018.04.017",2],[2,0.464,-0.6479,"Motives of moduli spaces on K3 surfaces and of special cubic fourfolds",2018,"https://doi.org/10.1007/s00229-018-1086-0",1],[2,-0.373,0.6157,"Optimality and sub-optimality of PCA I: Spiked random matrix models",2018,"https://doi.org/10.1214/17-aos1625",1],[2,0.3484,0.7641,"On the Lovász Theta Function for Independent Sets in Sparse Graphs",2018,"https://doi.org/10.1137/15m1051002",1],[2,0.7894,0.3532,"Edit Distance Cannot Be Computed in Strongly Subquadratic Time (Unless SETH is False)",2018,"https://doi.org/10.1137/15m1053128",1],[2,0.6526,0.0965,"Log-concave polynomials, I: Entropy and a deterministic approximation algorithm for counting bases of matroids",2021,"https://doi.org/10.1215/00127094-2020-0091",2],[2,-0.6997,0.1733,"When Do Composed Maps Become Entanglement Breaking?",2019,"https://doi.org/10.1007/s00023-019-00774-7",1],[2,-0.2414,0.6217,"Typology of phase transitions in Bayesian inference problems",2019,"https://doi.org/10.1103/physreve.99.042109",2],[2,-0.2908,0.713,"The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds",2019,"https://doi.org/10.1007/s00220-019-03487-4",1],[2,0.5442,-0.5227,"Quantum Langlands duality of representations of -algebras",2019,"https://doi.org/10.1112/s0010437x19007553",1],[2,0.2285,-0.7235,"Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882-83",2018,"https://arxiv.org/abs/1806.10411",1],[2,0.1148,-0.839,"The large sieve with power moduli for ℤ[i]",2018,"https://doi.org/10.1142/s1793042118501658",1],[2,-0.8403,0.0936,"Scale and Möbius Covariance in Two-Dimensional Haag–Kastler Net",2019,"https://doi.org/10.1007/s00220-019-03410-x",1],[2,-0.7033,0.1733,"Positive-partial-transpose square conjecture for n=3",2019,"https://doi.org/10.1103/physreva.99.012337",1],[2,0.0742,-0.8388,"Diophantine problems and p-adic period mappings",2020,"https://doi.org/10.1007/s00222-020-00966-7",1],[2,0.5001,-0.5152,"Threefold extremal curve germs with one non-Gorenstein point",2018,"https://doi.org/10.1070/im8833",1],[2,-0.7602,0.3244,"Inhomogeneous Electron Gas",1964,"https://doi.org/10.1103/physrev.136.b864",1],[2,0.6746,0.2973,"A unifying framework for fast randomization of ecological networks with fixed (node) degrees",2018,"https://doi.org/10.1016/j.mex.2018.06.018",1],[2,-0.1038,0.6448,"The Picard Group of an Order and Külshammer Reduction",2020,"https://doi.org/10.1007/s10468-020-09957-x",2],[2,0.0836,-0.7649,"Power-Free Values of Binary Forms and the Global Determinant Method",2016,"https://doi.org/10.1093/imrn/rnw165",1],[2,-0.846,-0.0173,"Index theory on the Mi\\v{s}\\v{c}enko bundle",2018,"https://doi.org/10.1215/21562261-2021-0021",1],[2,0.1394,0.747,"Cycle-Complete Ramsey Numbers",2019,"https://doi.org/10.1093/imrn/rnz119",1],[2,-0.2406,0.616,"An invariance principle for ergodic scale-free random environments",2022,"https://doi.org/10.4310/acta.2022.v228.n2.a2",2],[2,0.7369,-0.326,"Reflectionless measures for Calderón-Zygmund operators I: general theory",2018,"https://doi.org/10.1007/s11854-018-0047-6",1],[2,0.0111,0.7116,"Symmetric tensor categories in characteristic 2",2019,"https://doi.org/10.1016/j.aim.2019.05.020",1],[2,-0.2515,0.6133,"Harmonic functions on mated-CRT maps",2019,"https://doi.org/10.1214/19-ejp325",4],[2,-0.1227,0.859,"Lusztig induction andℓ-blocks of finite reductive groups",2015,"https://doi.org/10.2140/pjm.2015.279.269",1],[2,0.6194,0.2433,"Lower bounds for trace reconstruction",2020,"https://doi.org/10.1214/19-aap1506",2],[2,0.03,0.7367,"Algebraic Tangent Cones of Reflexive Sheaves",2018,"https://doi.org/10.1093/imrn/rny276",1],[2,0.6641,0.3648,"Optimal 2DFA Algorithms for One-Way Liveness on Two and Three Symbols",2018,"https://doi.org/10.1007/978-3-319-98355-4_3",1],[2,0.2549,0.7138,"Extending some results on the second neighborhood conjecture",2022,"https://doi.org/10.1016/j.dam.2021.12.034",1],[2,0.0592,0.8384,"On the $K$-theory of pullbacks",2019,"https://doi.org/10.4007/annals.2019.190.3.4",1],[2,0.4293,-0.7569,"On Generalised Abundance, I",2020,"https://doi.org/10.4171/prims/56-2-3",1],[2,-0.3316,0.6347,"Spin Systems on Bethe Lattices",2019,"https://doi.org/10.1007/s00220-019-03544-y",1],[2,0.4046,0.7254,"Clock theorems for triangulated surfaces",2018,"https://doi.org/10.48550/arxiv.1808.06091",1],[2,0.2055,-0.6271,"Reconstructing function fields from Milnor K-theory",2021,"https://doi.org/10.2140/ant.2021.15.2261",2],[2,-0.7103,0.1258,"All Quantum Adversary Methods Are Equivalent",2006,"https://doi.org/10.4086/toc.2006.v002a001",1],[2,0.2414,0.6703,"Seymour's Second Neighborhood Conjecture for Subsets of Vertices",2018,"https://doi.org/10.48550/arxiv.1808.06293",1],[2,-0.196,0.6094,"Lee–Yang Property and Gaussian Multiplicative Chaos",2019,"https://doi.org/10.1007/s00220-019-03453-0",2],[2,0.7623,0.346,"Approximating Edit Distance Within Constant Factor in Truly Sub-quadratic Time",2020,"https://doi.org/10.1145/3422823",1],[2,-0.3075,0.7641,"Decompositions of log-correlated fields with applications",2019,"https://doi.org/10.1214/19-aap1492",1],[2,-0.6271,0.4272,"Homological stability for Artin monoids",2020,"https://doi.org/10.1112/plms.12335",1],[2,-0.3476,0.5441,"Locality of the critical probability for transitive graphs of exponential growth",2020,"https://doi.org/10.1214/19-aop1395",2],[2,0.8487,0.0891,"Mildly Exponential Time Approximation Algorithms for Vertex Cover, Balanced Separator and Uniform Sparsest Cut",2018,"https://doi.org/10.4230/lipics.approx-random.2018.20",1],[2,-0.7165,0.266,"The Lieb–Thirring inequality revisited",2021,"https://doi.org/10.4171/jems/1062",1],[2,-0.0029,0.7668,"On Weakly Locally Finite Division Rings",2018,"https://doi.org/10.1007/s40306-018-0292-x",1],[2,-0.5374,-0.6753,"Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces",2021,"https://doi.org/10.1112/jlms.12470",1],[2,0.6293,-0.2038,"Research Problems in Function Theory (New Edition)",2018,"https://arxiv.org/abs/1809.07200",3],[2,0.8177,-0.1563,"The $L_p$-Aleksandrov problem for $L_p$-integral curvature",2018,"https://doi.org/10.4310/jdg/1536285625",1],[2,0.6582,-0.2848,"Rigidity theorems for circle domains",2019,"https://doi.org/10.1007/s00222-019-00921-1",1],[2,-0.6626,-0.3635,"A semi-model structure for Grothendieck weak 3-groupoids",2018,"https://arxiv.org/abs/1809.07923",1],[2,0.1668,-0.6507,"The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures",2019,"https://doi.org/10.2140/ant.2019.13.2103",2],[2,-0.3434,0.5567,"SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS",2019,"https://doi.org/10.1017/fms.2019.21",2],[2,-0.4158,0.578,"Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)",2021,"https://doi.org/10.4171/jems/1072",1],[2,-0.1057,0.647,"Donovan’s conjecture, blocks with abelian defect groups and discrete valuation rings",2019,"https://doi.org/10.1007/s00209-019-02354-1",2],[2,0.6455,0.3354,"Collapsing Superstring Conjecture",2018,"https://doi.org/10.4230/lipics.approx-random.2019.26",1],[2,-0.3051,0.7636,"The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\\sqrt{8/3}$$-Liouville Quantum Gravity",2019,"https://doi.org/10.1007/s00220-019-03610-5",1],[2,-0.2955,-0.6878,"Closed geodesics on connected sums and $3$-manifolds",2022,"https://doi.org/10.4310/jdg/1649953350",1],[2,0.431,-0.4953,"Weak Positivity and the Additivity of the Kodaira Dimension for Certain Fibre Spaces",2018,"https://doi.org/10.2969/aspm/00110329",3],[2,-0.8294,0.1225,"On the tensor structure of modules for compact orbifold vertex operator algebras",2019,"https://doi.org/10.1007/s00209-019-02445-z",1],[2,0.04,-0.7137,"Modularity lifting theorems for ordinary Galois representations",2018,"https://doi.org/10.1007/s00208-018-1742-4",1],[2,-0.4469,0.708,"No Percolation at Criticality on Certain Groups of Intermediate Growth",2019,"https://doi.org/10.1093/imrn/rnz265",1],[2,-0.6567,0.4673,"Residually finite rationally solvable groups and virtual fibring",2019,"https://doi.org/10.1090/jams/936",1],[2,0.3048,-0.7089,"A Fourier-analytic approach to inhomogeneous Diophantine approximation",2019,"https://doi.org/10.4064/aa180627-25-9",1],[2,0.4042,0.6551,"Bisectors and Pinned Distances",2019,"https://doi.org/10.1007/s00454-019-00122-w",1],[2,0.5214,-0.6753,"On stability conditions for the quintic threefold",2019,"https://doi.org/10.1007/s00222-019-00888-z",1],[2,0.5117,-0.6024,"Semistable reduction in characteristic 0",2018,"https://arxiv.org/abs/1810.03131",1],[2,-0.5074,-0.5447,"Enlargeable metrics on nonspin manifolds",2019,"https://doi.org/10.1090/proc/14706",1],[2,-0.1803,0.6349,"Uniform Lipschitz Functions on the Triangular Lattice Have Logarithmic Variations",2021,"https://doi.org/10.1007/s00220-020-03920-z",2],[2,0.6882,-0.1445,"Moreau-type characterizations of polar cones",2019,"https://doi.org/10.1016/j.laa.2019.01.006",1],[2,-0.2587,-0.6058,"High-Energy Eigenfunctions of the Laplacian on the Torus and the Sphere with Nodal Sets of Complicated Topology",2021,"https://doi.org/10.1007/978-981-33-4822-6_7",2],[2,-0.3593,0.7472,"Fluctuation lower bounds in planar random growth models",2020,"https://doi.org/10.1214/19-aihp1043",1],[2,-0.6327,0.2134,"On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications",2003,"https://doi.org/10.24033/msmf.407",4],[2,0.2135,-0.6225,"Reconstruction of Function Fields from their pro-l abelian divisorial Inertia",2018,"https://arxiv.org/abs/1810.04768",2],[2,-0.3391,0.7537,"A support theorem for SLE curves",2020,"https://doi.org/10.1214/20-ejp425",1],[2,0.6459,0.0876,"Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid",2023,"https://doi.org/10.4007/annals.2024.199.1.4",2],[2,0.4955,0.6366,"Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups",2018,"https://arxiv.org/abs/1811.00718",1],[2,0.257,-0.6668,"Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic",2024,"https://doi.org/10.1093/imrn/rnae005",1],[2,0.8464,0.0774,"Algebraic Approach to Promise Constraint Satisfaction",2021,"https://doi.org/10.1145/3457606",1],[2,0.6445,-0.0784,"Matrix methods for the tensorial Bernstein form",2018,"https://doi.org/10.1016/j.amc.2018.08.049",3],[2,0.4479,0.5772,"Logarithmic bounds for Roth's theorem via almost-periodicity",2019,"https://doi.org/10.19086/da.7884",1],[2,-0.608,-0.5296,"Lipschitz free p-spaces for 0 < p < 1",2020,"https://doi.org/10.1007/s11856-020-2061-5",1],[2,0.8603,0.1261,"Hodge-Riemann relations for Potts model partition functions",2018,"https://arxiv.org/abs/1811.01696",1],[2,0.4031,-0.5978,"A note on residual coordinates of polynomial rings",2018,"https://doi.org/10.1216/jca-2018-10-3-317",1],[2,-0.7926,0.2861,"A proof of the Krylov–Safonov theorem without localization",2019,"https://doi.org/10.1080/03605302.2019.1581807",1],[2,0.3216,-0.5815,"Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities",2020,"https://doi.org/10.1090/jams/962",3],[2,0.861,-0.148,"Flow-Cut Gaps and Face Covers in Planar Graphs",2019,"https://doi.org/10.1137/1.9781611975482.33",1],[2,0.7163,-0.0598,"On a Relation Between Packing and Covering Densities of Convex Bodies",2019,"https://doi.org/10.1007/s00454-019-00121-x",1],[2,0.1202,-0.8221,"The Weyl bound for Dirichlet $L$-functions of cube-free conductor",2020,"https://doi.org/10.4007/annals.2020.192.2.3",1],[2,-0.6538,-0.0634,"Full factors, bicentralizer flow and approximately inner automorphisms",2020,"https://doi.org/10.1007/s00222-020-00971-w",3],[2,-0.6493,0.5145,"Universal solvability of group equations",2021,"https://doi.org/10.1515/jgth-2019-0167",1],[2,0.3516,0.6912,"Quasi-random graphs",1989,"https://doi.org/10.1007/bf02125347",1],[2,0.3011,0.7211,"A Combinatorial Formula for the Coefficient of q in Kazhdan–Lusztig Polynomials",2019,"https://doi.org/10.1093/imrn/rnz255",1],[2,0.5341,0.3572,"Multi-variate correlation and mixtures of product measures",2020,"https://doi.org/10.14736/kyb-2020-3-0459",3],[2,-0.7642,-0.3393,"On an Index Theorem of Chang, Weinberger and Yu",2018,"https://doi.org/10.17879/59019522628",1],[2,0.4243,-0.4895,"o-minimal GAGA and a conjecture of Griffiths",2022,"https://doi.org/10.1007/s00222-022-01166-1",3],[2,0.0119,0.8065,"Tannakian categories in positive characteristic",2020,"https://doi.org/10.1215/00127094-2020-0026",1],[2,-0.2724,0.7516,"Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation",2019,"https://doi.org/10.1007/s00440-019-00924-2",1],[2,0.6291,0.3707,"On the Size of Homogeneous and of Depth-Four Formulas with Low Individual Degree",2018,"https://doi.org/10.4086/toc.2018.v014a016",1],[2,-0.5828,0.2808,"Quantum Spins and Random Loops on the Complete Graph",2019,"https://doi.org/10.1007/s00220-019-03634-x",2],[2,0.6554,0.4352,"Algorithmic Theory of ODEs and Sampling from Well-conditioned Logconcave Densities",2018,"https://arxiv.org/abs/1812.06243",1],[2,0.7837,0.1556,"A Faster Deterministic Exponential Time Algorithm for Energy Games and Mean Payoff Games (Track B: Automata, Logic, Semantics, and Theory of Programming)",2018,"https://doi.org/10.4230/lipics.icalp.2019.114",1],[2,0.5471,0.452,"Absolute continuity in families of parametrised non-homogeneous self-similar measures",2023,"https://doi.org/10.4171/jfg/127",1],[2,0.1962,0.6769,"Interlacing Families IV: Bipartite Ramanujan Graphs of All Sizes",2018,"https://doi.org/10.1137/16m106176x",1],[2,0.6399,0.136,"The Interaction Algorithm and Practical Fourier Analysis",1958,"https://doi.org/10.1111/j.2517-6161.1958.tb00300.x",2],[2,0.0524,-0.7379,"GALOIS CONJUGATES OF SPECIAL POINTS AND SPECIAL SUBVARIETIES IN SHIMURA VARIETIES",2019,"https://doi.org/10.1017/s1474748019000525",1],[2,-0.3398,0.559,"Singularity of random Bernoulli matrices",2020,"https://doi.org/10.4007/annals.2020.191.2.6",2],[2,-0.5092,-0.5692,"Mean Curvature in the Light of Scalar Curvature",2020,"https://doi.org/10.5802/aif.3347",1],[2,0.0467,-0.7474,"Potential automorphy over CM fields",2023,"https://doi.org/10.4007/annals.2023.197.3.2",1],[2,0.0574,-0.8538,"Abelian surfaces over totally real fields are potentially modular",2021,"https://doi.org/10.1007/s10240-021-00128-2",1],[2,-0.1463,0.475,"A New Approach to the Representation Theory of the Symmetric Groups. II",2005,"https://doi.org/10.1007/s10958-005-0421-7",8],[2,0.3695,-0.6689,"The global moduli theory of symplectic varieties",2022,"https://doi.org/10.1515/crelle-2022-0033",1],[2,0.4186,-0.487,"Subadditivity of the Kodaira Dimension: Fibers of General Type",2018,"https://doi.org/10.2969/aspm/01010361",3],[2,0.6158,-0.2048,"Averages of simplex Hilbert transforms",2020,"https://doi.org/10.1090/proc/15196",2],[2,-0.0269,0.8139,"$L^2$-determinant class and approximation of $L^2$-Betti numbers",2001,"https://doi.org/10.1090/s0002-9947-01-02699-x",1],[2,-0.1937,-0.7758,"Sharp Asymptotic Behavior of Solutions of the 3d Vlasov–Maxwell System with Small Data",2020,"https://doi.org/10.1007/s00220-019-03604-3",1],[2,0.5993,-0.5724,"Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds",2021,"https://doi.org/10.1215/00127094-2021-0010",1],[2,0.2921,-0.7437,"Eisenstein Series for Reductive Groups over Global Function Fields I.",1982,"https://doi.org/10.4153/cjm-1982-009-2",1],[2,0.2819,0.7447,"Permutation Groups in Euclidean Ramsey Theory",1991,"https://doi.org/10.1090/s0002-9939-1991-1065087-9",1],[2,-0.2076,0.6032,"The Hopf structure of symmetric group characters as symmetric functions",2021,"https://doi.org/10.5802/alco.170",3],[2,-0.0867,-0.7844,"Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs",2014,"https://doi.org/10.4153/cjm-2014-011-x",1],[2,-0.2691,0.2582,"Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations",2014,"https://doi.org/10.1090/s0002-9947-2014-06198-9",2],[2,-0.6656,0.2371,"The hyperbolic positive energy theorem",2019,"https://arxiv.org/abs/1901.05263",1],[2,0.2501,-0.7143,"Approximation theorems for spaces of localities",2020,"https://doi.org/10.1007/s00209-020-02516-6",1],[2,-0.0539,0.7888,"On the Saturation Conjecture for Spin(2n)",2019,"https://doi.org/10.1080/10586458.2018.1537866",1],[2,0.0383,-0.6616,"The Fontaine-Mazur conjecture in the residually reducible case",2021,"https://doi.org/10.1090/jams/991",2],[2,0.3927,0.6453,"Cutting towers of number fields",2021,"https://doi.org/10.1007/s40316-021-00156-8",1],[2,-0.6574,0.0122,"Nuclear dimension of simple $$\\mathrm {C}^*$$-algebras",2020,"https://doi.org/10.1007/s00222-020-01013-1",4],[2,0.4545,-0.5476,"THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER",2020,"https://doi.org/10.1017/fms.2020.19",1],[2,-0.2696,-0.7351,"Uniqueness of asymptotically conical tangent flows",2021,"https://doi.org/10.1215/00127094-2020-0098",1],[2,0.5893,0.6149,"Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions",2019,"https://doi.org/10.1137/17m1129076",1],[2,-0.6481,-0.0186,"Voltage graphs",1974,"https://doi.org/10.1016/0012-365x(74)90006-5",2],[2,0.8156,0.31,"Optimal mean-based algorithms for trace reconstruction",2019,"https://doi.org/10.1214/18-aap1394",1],[2,0.7329,-0.3708,"A Kakeya maximal function estimate in four dimensions using planebrushes",2020,"https://doi.org/10.4171/rmi/1219",1],[2,-0.6686,0.0131,"Nuclear dimension of simple stably projectionless C∗-algebras",2020,"https://doi.org/10.2140/apde.2020.13.2205",2],[2,-0.8305,0.1568,"Reversible Computing",1980,"https://doi.org/10.1007/3-540-10003-2_104",1],[2,0.2743,-0.1496,"Quasirandom Groups",2008,"https://doi.org/10.1017/s0963548307008826",2],[2,0.6712,-0.3396,"Additive Combinatorics",2006,"https://doi.org/10.1017/cbo9780511755149",1],[2,0.6567,0.3561,"Syntactic Semigroups",1997,"https://doi.org/10.1007/978-3-642-59136-5_10",1],[2,-0.3706,0.6286,"The adaptive interpolation method for proving replica formulas. Applications to the Curie–Weiss and Wigner spike models",2019,"https://doi.org/10.1088/1751-8121/ab2735",1],[2,0.4325,-0.4929,"Crit�res de platitude et de projectivit�",1971,"https://doi.org/10.1007/bf01390094",5],[2,0.6624,-0.0934,"Universal optimality of the $E_8$ and Leech lattices and interpolation formulas",2022,"https://doi.org/10.4007/annals.2022.196.3.3",3],[2,-0.3078,-0.6899,"The Existence of Infinitely Many Geometrically Distinct Non-Constant Prime Closed Geodesics on Riemannian Manifolds",2018,"https://arxiv.org/abs/1808.04017",1],[2,0.0277,0.8398,"On the Finiteness length of some soluble linear groups",2021,"https://doi.org/10.4153/s0008414x21000213",1],[2,0.4235,-0.6066,"Die Aufl�sung der rationalen Singularit�ten holomorpher Abbildungen",1968,"https://doi.org/10.1007/bf01352140",1],[2,0.2432,-0.4635,"Analytische Faserungen �ber holomorph-vollst�ndigen R�umen",1958,"https://doi.org/10.1007/bf01351803",3],[2,-0.4611,0.7173,"New critical exponent inequalities for percolation and the random cluster model",2020,"https://doi.org/10.2140/pmp.2020.1.147",1],[2,-0.7782,0.2816,"A Penrose-type inequality with angular momentum and charge for axisymmetric initial data",2019,"https://doi.org/10.1007/s10714-019-2600-8",1],[2,-0.3192,0.779,"External diffusion-limited aggregation on a spanning-tree-weighted random planar map",2021,"https://doi.org/10.1214/20-aop1486",1],[2,0.1951,0.8055,"Cycle packing",2014,"https://doi.org/10.1002/rsa.20574",1],[2,-0.6039,0.2385,"Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature",2020,"https://doi.org/10.1007/s00205-020-01489-4",3],[2,-0.4593,-0.5392,"On the index of minimal hypersurfaces of spheres",2019,"https://arxiv.org/abs/1902.10801",1],[2,0.1429,-0.6372,"NONNEGATIVE MULTIPLICATIVE FUNCTIONS ON SIFTED SETS, AND THE SQUARE ROOTS OF −1 MODULO SHIFTED PRIMES",2019,"https://doi.org/10.1017/s0017089519000041",3],[2,0.4423,-0.5433,"Resolution of singularities of arithmetical threefolds",2019,"https://doi.org/10.1016/j.jalgebra.2019.02.017",1],[2,0.6227,-0.4951,"Stability conditions in families",2021,"https://doi.org/10.1007/s10240-021-00124-6",1],[2,0.2331,-0.6628,"Irrationality Measure of Pi",2019,"https://doi.org/10.48550/arxiv.1902.08817",1],[2,0.6438,-0.1368,"Mahler’s conjecture for some hyperplane sections",2021,"https://doi.org/10.1007/s11856-021-2114-4",2],[2,0.7892,-0.1527,"Regularity of monotone transport maps between unbounded domains",2019,"https://doi.org/10.3934/dcds.2019297",1],[2,0.2675,0.5793,"Pairwise optimal coupling of multiple random variables",2019,"https://arxiv.org/abs/1903.00632",2],[2,0.216,0.6757,"From DNF Compression to Sunflower Theorems via Regularity",2019,"https://doi.org/10.4230/lipics.ccc.2019.5",1],[2,0.4408,0.4618,"Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class",2020,"https://doi.org/10.1137/19m1248431",2],[2,-0.6533,-0.2631,"Ambidexterity in chromatic homotopy theory",2022,"https://doi.org/10.1007/s00222-022-01099-9",1],[2,0.6308,-0.4508,"Generators for Coulomb branches of quiver gauge theories",2019,"https://arxiv.org/abs/1903.07734",1],[2,0.5733,-0.5396,"LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS",2020,"https://doi.org/10.1017/s1474748020000365",1],[2,-0.6911,0.2244,"Computing the Moments of the Complex Gaussian: Full and Sparse Covariance Matrix",2019,"https://doi.org/10.3390/math7030263",1],[2,0.6913,-0.1174,"A Face Cover Perspective to ℓ 1 Embeddings of Planar Graphs",2024,"https://doi.org/10.1145/3686800",1],[2,0.4372,0.6778,"A reduction for the distinct distances problem in Rd",2019,"https://doi.org/10.1016/j.jcta.2019.02.010",1],[2,0.8265,-0.0277,"An example of a doubling \"inherently\" infinite-dimensional subset of $l_2$",2017,"https://arxiv.org/abs/1703.10265",1],[2,-0.7078,0.2246,"Approximating Local Properties by Tensor Network States With Constant Bond Dimension",2026,"https://doi.org/10.1109/tit.2026.3694133",1],[2,0.1513,-0.8287,"New computational results on a conjecture of Jacobsthal",2019,"https://arxiv.org/abs/1903.11973",1],[2,0.4015,-0.5338,"Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics",2021,"https://doi.org/10.2140/gt.2021.25.3425",2],[2,0.8028,-0.1664,"Higher-order pathwise theory of fluctuations in stochastic homogenization",2019,"https://doi.org/10.1007/s40072-019-00156-4",1],[2,0.217,-0.7157,"Irrationality of values of L‐functions of Dirichlet characters",2019,"https://doi.org/10.1112/jlms.12290",1],[2,0.0179,0.7749,"Finite symmetric tensor categories with the Chevalley property in characteristic 2",2020,"https://doi.org/10.1142/s0219498821400107",1],[2,-0.2154,0.8413,"Non-integrable Dimers: Universal Fluctuations of Tilted Height Profiles",2020,"https://doi.org/10.1007/s00220-020-03760-x",1],[2,0.688,0.3159,"Constant-factor approximation of near-linear edit distance in near-linear time",2020,"https://doi.org/10.1145/3357713.3384282",1],[2,-0.6809,-0.2385,"Abstract Goerss-Hopkins theory",2021,"https://doi.org/10.1016/j.aim.2021.108098",1],[2,0.5486,0.3617,"Memory-sample tradeoffs for linear regression with small error",2019,"https://doi.org/10.1145/3313276.3316403",6],[2,0.7912,0.3611,"Constant factor approximations to edit distance on far input pairs in nearly linear time",2020,"https://doi.org/10.1145/3357713.3384307",1],[2,-0.0601,-0.1999,"Ergodic decomposition of quasi-invariant probability measures",2000,"https://doi.org/10.4064/cm-84/85-2-495-514",3],[2,-0.3903,0.5927,"The $L^{2}$ boundedness condition in nonamenable percolation",2020,"https://doi.org/10.1214/20-ejp525",1],[2,-0.1017,0.6437,"Subgroups of Twisted Wreath Products",2019,"https://doi.org/10.1017/9781108692397.020",2],[2,-0.1311,0.8221,"Suzuki-Ree groups as algebraic groups over $\\mathbb{F}_{\\sqrt{\\smash[b]p}}$",2019,"https://arxiv.org/abs/1904.10741",1],[2,-0.8343,0.0433,"Equivariant property (SI) revisited",2021,"https://doi.org/10.2140/apde.2021.14.1199",1],[2,0.8238,0.1916,"Integer multiplication in time $O(n\\mathrm{log}\\, n)$",2021,"https://doi.org/10.4007/annals.2021.193.2.4",1],[2,0.6984,-0.1374,"A convex body associated to the Busemann random simplex inequality and the Petty conjecture",2021,"https://doi.org/10.1016/j.jfa.2021.109118",1],[2,0.865,0.0947,"Counting Perfect Matchings and the Eight-Vertex Model",2019,"https://doi.org/10.4230/lipics.icalp.2020.23",1],[2,0.7181,0.3416,"Exact Exponential Algorithms for Clustering Problems",2019,"https://doi.org/10.4230/lipics.icalp.2019.42",1],[2,-0.4393,0.7276,"On the singularity of random symmetric matrices",2021,"https://doi.org/10.1215/00127094-2020-0054",1],[2,0.8173,-0.1812,"Equipartitions and Mahler volumes of symmetric convex bodies",2022,"https://doi.org/10.1353/ajm.2022.0027",1],[2,-0.7603,0.0269,"Decomposition rank of approximately subhomogeneous C * -algebras",2020,"https://doi.org/10.1515/forum-2020-0018",1],[2,-0.2957,0.7361,"Local metrics of the Gaussian free field",2021,"https://doi.org/10.5802/aif.3398",1],[2,-0.2489,0.5997,"Existence and uniqueness of the Liouville quantum gravity metric for $$\\gamma \\in (0,2)$$",2020,"https://doi.org/10.1007/s00222-020-00991-6",5],[2,0.3126,-0.5674,"Some Results about the Index Conjecture for log Calabi-Yau Pairs",2019,"https://arxiv.org/abs/1905.00297",3],[2,0.6519,-0.1444,"A conformal Skorokhod embedding",2019,"https://doi.org/10.1214/19-ecp272",2],[2,-0.2502,0.6005,"Weak LQG metrics and Liouville first passage percolation",2020,"https://doi.org/10.1007/s00440-020-00979-6",3],[2,-0.7784,0.0069,"Cuntz semigroups of ultraproduct C∗‐algebras",2020,"https://doi.org/10.1112/jlms.12343",1],[2,-0.1681,0.6186,"Transport proofs of some discrete variants of the Prékopa-Leindler inequality",2021,"https://doi.org/10.2422/2036-2145.201906_002",2],[2,0.0383,0.668,"Prisms and prismatic cohomology",2022,"https://doi.org/10.4007/annals.2022.196.3.5",2],[2,-0.7233,-0.0167,"The Baum–Connes conjecture: an extended survey",2019,"https://doi.org/10.1007/978-3-030-29597-4_3",1],[2,0.7583,-0.3282,"Definition of fractional Laplacian for functions with polynomial growth",2019,"https://doi.org/10.4171/rmi/1079",1],[2,-0.1133,0.7732,"Basic sets of Brauer characters of finite groups of Lie type.",1991,"https://doi.org/10.1515/crll.1991.418.173",1],[2,-0.8421,-0.0218,"Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras",2021,"https://doi.org/10.1090/tran/8372",1],[2,0.7122,-0.0966,"Floating Wigner crystal with no boundary charge fluctuations",2019,"https://doi.org/10.1103/physrevb.100.035127",1],[2,0.6704,-0.5461,"On the deformation rigidity of smooth projective symmetric varieties with Picard number one",2019,"https://doi.org/10.1016/j.crma.2019.10.008",1],[2,-0.6248,-0.1819,"Integral $p$-adic \\'etale cohomology of Drinfeld symmetric spaces",2019,"https://doi.org/10.1215/00127094-2020-0084",3],[2,-0.3444,-0.7216,"A proof of Morseʼs theorem about the cancellation of critical points",2013,"https://doi.org/10.1016/j.crma.2013.06.009",1],[2,0.0198,-0.6466,"GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS",2019,"https://doi.org/10.1017/fms.2019.9",2],[2,-0.7473,0.2506,"Linear stability of slowly rotating Kerr black holes",2020,"https://doi.org/10.1007/s00222-020-01002-4",1],[2,-0.2389,0.6031,"Convergence of uniform triangulations under the Cardy embedding",2023,"https://doi.org/10.4310/acta.2023.v230.n1.a2",2],[2,-0.8187,0.0077,"The universal C*-algebra of a contraction",2020,"https://doi.org/10.7900/jot.2019mar11.2229",1],[2,0.586,-0.5653,"Contractibility of the space of rational maps",2011,"https://arxiv.org/abs/1108.1741",1],[2,-0.2922,0.5832,"Threshold values of random K‐SAT from the cavity method",2005,"https://doi.org/10.1002/rsa.20090",2],[2,0.3745,-0.6139,"Inversion of adjunction for local complete intersection varieties",2003,"https://arxiv.org/abs/math/0301164",1],[2,0.2074,0.6915,"Bounded degree cosystolic expanders of every dimension",2023,"https://doi.org/10.1090/jams/1019",1],[2,-0.2417,0.6025,"Bijective Counting of Tree-Rooted Maps and Shuffles of Parenthesis Systems",2007,"https://doi.org/10.37236/928",2],[2,-0.6757,0.2288,"On the Cauchy problem for gravity water waves",2014,"https://doi.org/10.1007/s00222-014-0498-z",1],[2,-0.5126,0.5769,"PERMUTATIONS OF THE INTEGERS INDUCE ONLY THE TRIVIAL AUTOMORPHISM OF THE TURING DEGREES",2018,"https://doi.org/10.1017/bsl.2018.15",1],[2,-0.2077,0.6097,"An Enciphering Scheme Based on a Card Shuffle",2012,"https://arxiv.org/abs/1208.1176",7],[2,-0.7928,-0.0235,"Closed manifolds with transcendentalL2-Betti numbers:",2015,"https://doi.org/10.1112/jlms/jdv026",1],[2,-0.8613,-0.0375,"Ford fundamental domains in symmetric spaces of rank one",2009,"https://arxiv.org/abs/0908.4203",1],[2,-0.8147,0.0369,"Nuclear dimension and Z-stability of pure C*-algebras",2010,"https://arxiv.org/abs/1006.2731",1],[2,0.7716,0.1844,"A Near-Linear Pseudopolynomial Time Algorithm for Subset Sum",2017,"https://doi.org/10.1137/1.9781611974782.69",1],[2,-0.8151,0.0334,"Strongly self-absorbing C*-algebras",2005,"https://arxiv.org/abs/math/0502211",1],[2,0.3107,-0.8081,"Geometric Langlands duality and representations of algebraic groups over commutative rings",2004,"https://arxiv.org/abs/math/0401222",1],[2,0.5952,-0.5576,"Gradient Estimates and Blow-Up Analysis for Stationary Harmonic Maps",1999,"https://doi.org/10.2307/121073",1],[2,-0.3069,0.7268,"Noise sensitivity of boolean functions and applications to percolation",1999,"https://doi.org/10.1007/bf02698830",1],[2,-0.1968,0.6305,"Basic properties of SLE",2005,"https://doi.org/10.4007/annals.2005.161.883",9],[2,-0.3169,0.7889,"Liouville Quantum Gravity and KPZ",2008,"https://arxiv.org/abs/0808.1560",1],[2,0.7099,-0.2332,"New Proofs of Plünnecke-type Estimates for Product Sets in Groups",2011,"https://arxiv.org/abs/1101.3507",1],[2,-0.2607,0.5869,"On the scaling limits of planar percolation",2011,"https://doi.org/10.1214/11-aop659",2],[2,0.3911,-0.6366,"Supersymmetyric Analogues of the Classical Theorem on Harmonic Polynomials",2012,"https://arxiv.org/abs/1202.1673",1],[2,0.7939,0.1522,"Succinct progress measures for solving parity games",2017,"https://doi.org/10.1109/lics.2017.8005092",1],[2,0.5573,-0.5288,"Compact Hyperkaehler Manifolds: Basic Results",1997,"https://arxiv.org/abs/alg-geom/9705025",1],[2,-0.5662,-0.6616,"Rectifiability of flat chains",1999,"https://arxiv.org/abs/math/9907209",1],[2,0.6713,-0.4544,"Foliations with vanishing Chern classes",2012,"https://arxiv.org/abs/1210.5916",1],[2,-0.0252,0.8014,"A constructive proof of the general Lovasz Local Lemma",2009,"https://arxiv.org/abs/0903.0544",1],[2,-0.7446,-0.0253,"Gromov's measure equivalence and rigidity of higher rank lattices",1999,"https://arxiv.org/abs/math/9911262",1],[2,-0.6335,-0.4945,"Banach spaces with the Daugavet property",1997,"https://arxiv.org/abs/math/9709216",1],[2,-0.8053,-0.1429,"Finitely presentable, non-Hopfian groups with Kazhdan's Property~(T) and infinite outer automorphism group",2006,"https://doi.org/10.1090/s0002-9939-06-08588-1",1],[2,0.4559,-0.7221,"Effective freeness of adjoint line bundles",2002,"https://doi.org/10.4171/dm/116",1],[2,0.6643,-0.0038,"The geometry of homothetic covering and illumination",2016,"https://arxiv.org/abs/1602.06040",3],[2,0.0971,-0.8635,"Counting Rational Points on Algebraic Varieties",2006,"https://doi.org/10.1007/978-3-540-36364-4_2",1],[2,-0.4852,-0.7118,"On the Conditions to Extend Ricci Flow(II)",2011,"https://doi.org/10.1093/imrn/rnr141",1],[2,0.3284,0.7655,"Shellable drawings and the cylindrical crossing number of $K_n$",2013,"https://arxiv.org/abs/1309.3665",1],[2,-0.6231,-0.452,"The Mazur-Ulam theorem",2013,"https://arxiv.org/abs/1306.2380",1],[2,-0.7546,0.1185,"The Solovay-Kitaev algorithm",2006,"https://doi.org/10.26421/qic6.1-6",1],[2,0.5116,-0.5213,"Two Two-dimensional Terminations",1992,"https://arxiv.org/abs/alg-geom/9206005",1],[2,0.6823,-0.5052,"K3 double structures on Enriques surfaces and their smoothings",2006,"https://arxiv.org/abs/math/0604629",1],[2,-0.5338,-0.6831,"Optimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds",2021,"https://doi.org/10.1016/j.matpur.2021.01.002",1],[2,0.3776,-0.6279,"Shokurov's Rational Connectedness Conjecture",2005,"https://arxiv.org/abs/math/0504330",1],[2,0.7612,0.4024,"Lyndon Words and Short Superstrings",2013,"https://doi.org/10.1137/1.9781611973105.69",1],[2,0.4432,-0.4859,"On the volume of a line bundle",2002,"https://arxiv.org/abs/math/0201031",3],[2,-0.0592,0.8392,"Representations of Complex Semi-Simple Lie Groups and Lie Algebras",1967,"https://doi.org/10.2307/1970351",1],[2,0.7721,0.1185,"Real Stable Polynomials and Matroids: Optimization and Counting",2016,"https://arxiv.org/abs/1611.04548",1],[2,-0.8001,0.3483,"On asymptotic hamiltonian for SU ( N ) matrix theory",1998,"https://doi.org/10.1088/1126-6708/1998/10/018",1],[2,-0.1666,0.7137,"Critical exponents for two-dimensional percolation",2001,"https://arxiv.org/abs/math/0109120",1],[2,-0.697,0.2196,"Entropy characteristics of subsets of states. I",2006,"https://doi.org/10.1070/im2006v070n06abeh002346",1],[2,0.3449,0.6767,"Some advances on Sidorenko's conjecture",2018,"https://doi.org/10.1112/jlms.12142",1],[2,0.6111,-0.6091,"Arithmetic harmonic analysis on character and quiver varieties",2011,"https://doi.org/10.1215/00127094-1444258",1],[2,0.7639,0.1447,"Blackwell-Optimal Strategies in Priority Mean-Payoff Games",2010,"https://doi.org/10.4204/eptcs.25.5",1],[2,-0.4172,0.6246,"Inter-relationships between orthogonal, unitary and symplectic matrix ensembles",1999,"https://arxiv.org/abs/solv-int/9907008",1],[2,-0.7281,-0.0155,"On the Equivalence of Geometric and Analytic K-Homology",2007,"https://doi.org/10.4310/pamq.2007.v3.n1.a1",1],[2,0.1993,-0.6093,"Milnor K_2 and field homomorphisms",2009,"https://arxiv.org/abs/0902.4875",2],[2,-0.5527,-0.6636,"Rectifiability of Optimal Transportation Plans",2011,"https://doi.org/10.4153/cjm-2011-080-6",1],[2,0.6769,0.2304,"Prophet Inequalities with Limited Information",2013,"https://doi.org/10.1137/1.9781611973402.100",1],[2,-0.2927,0.5791,"Proof of the satisfiability conjecture for large $k$",2022,"https://doi.org/10.4007/annals.2022.196.1.1",3],[2,0.8082,-0.2959,"L^p Estimates for Maximal Averages Along One-variable Vector Fields in R^2",2008,"https://arxiv.org/abs/0802.0183",1],[2,-0.0414,0.7912,"On the Eisenbud-Green-Harris Conjecture",2012,"https://arxiv.org/abs/1212.2653",1],[2,-0.2806,0.6947,"Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation",2018,"https://doi.org/10.1214/18-ejp157",1],[2,-0.8495,0.1366,"Transformation of quantum states using uniformly controlled rotations",2005,"https://doi.org/10.26421/qic5.6-5",1],[2,-0.7395,-0.3759,"A degree doubling formula for braid monodromies and Lefschetz pencils",2006,"https://arxiv.org/abs/math/0605001",1],[2,-0.1967,0.6078,"Conformally invariant scaling limits: an overview and a collection of problems",2007,"https://doi.org/10.4171/022-1/20",8],[2,-0.7225,-0.3635,"On the topology of compact Stein surfaces",2001,"https://arxiv.org/abs/math/0103106",1],[2,0.5768,-0.3189,"Sumset and Inverse Sumset Theory for Shannon Entropy",2010,"https://doi.org/10.1017/s0963548309990642",2],[2,0.6995,0.135,"A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and Few Random Positions",2015,"https://arxiv.org/abs/1508.03431",1],[2,0.2126,0.6011,"The Asymmetric Traveling Salesman Problem on Graphs with Bounded Genus",2011,"https://doi.org/10.1137/1.9781611973082.75",2],[2,-0.8582,-0.0212,"On a small cancellation theorem of Gromov",2003,"https://arxiv.org/abs/math/0310022",1],[2,0.2786,-0.7145,"Constructible sheaves are holonomic",2015,"https://arxiv.org/abs/1505.06768",1],[2,0.4448,-0.4999,"Compact Kähler manifolds with compactifiable universal cover",2013,"https://doi.org/10.24033/bsmf.2651",2],[2,-0.171,0.7076,"Conformal invariance of planar loop-erased random walks and uniform spanning trees",2004,"https://doi.org/10.1214/aop/1079021469",1],[2,0.3622,-0.553,"An Assympotic Vanishing Theorem for Generic Unions of Multiple Points",1997,"https://arxiv.org/abs/alg-geom/9703037",2],[2,0.5188,-0.5954,"Instability in invariant theory",2018,"https://arxiv.org/abs/1807.02890",1],[2,0.2118,0.6051,"Pipage Rounding, Pessimistic Estimators and Matrix Concentration",2013,"https://doi.org/10.1137/1.9781611973402.69",2],[2,0.646,0.1253,"Improved Bounds for Strategy Improvement Algorithms for Energy Games",2026,"https://doi.org/10.4230/lipics.esa.2026.140",2],[2,-0.6351,0.3839,"Coarse differentiation and quasi-isometries of a class of solvable Lie groups II",2011,"https://doi.org/10.2140/gt.2011.15.1927",1],[2,0.7288,0.4427,"Some Improvements to Total Degree Tests",2013,"https://doi.org/10.48550/arxiv.1307.3975",1],[2,-0.5783,-0.4877,"Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete",2018,"https://doi.org/10.1112/blms.12179",1],[2,-0.3478,0.7055,"First passage percolation has sublinear distance variance",2003,"https://doi.org/10.1214/aop/1068646373",1],[2,-0.7582,-0.3463,"Lie theory for nilpotent L∞-algebras",2009,"https://doi.org/10.4007/annals.2009.170.271",1],[2,-0.7471,0.0305,"Decomposition rank of 𝒵-stable C∗-algebras",2014,"https://doi.org/10.2140/apde.2014.7.673",1],[2,-0.7217,0.2587,"Optimal C1,α estimates for a class of elliptic quasilinear equations",2019,"https://doi.org/10.1142/s0219199719500147",1],[2,-0.3377,0.5435,"A reverse Minkowski theorem",2023,"https://doi.org/10.4007/annals.2024.199.1.1",2],[2,0.0281,-0.7711,"Hilbert modular forms: mod $p$ and $p$-adic aspects",2003,"https://arxiv.org/abs/math/0308040",1],[2,-0.6587,-0.3573,"Towards a globular path object for weak ∞-groupoids",2019,"https://doi.org/10.1016/j.jpaa.2019.06.004",1],[2,-0.793,0.1672,"Parallel Repetition of Entangled Games with Exponential Decay via the Superposed Information Cost",2013,"https://arxiv.org/abs/1310.7787",1],[2,0.4964,-0.6639,"Bloch's conjecture for Catanese and Barlow surfaces",2012,"https://arxiv.org/abs/1210.3935",1],[2,0.5824,-0.3163,"Restricted Radon Transforms and Projections of Planar Sets",2011,"https://doi.org/10.4153/cmb-2011-064-6",2],[2,-0.7555,-0.3835,"Heegaard Floer homology and cosmetic surgeries in $S^3$",2022,"https://doi.org/10.4171/jems/1218",1],[2,0.6784,0.2362,"Online Contention Resolution Schemes",2015,"https://doi.org/10.1137/1.9781611974331.ch72",1],[2,0.2684,-0.6809,"On some finiteness questions for algebraic stacks",2011,"https://arxiv.org/abs/1108.5351",1],[2,-0.0572,0.7897,"Geometric Proofs of Horn and Saturation Conjectures",2002,"https://arxiv.org/abs/math/0208107",1],[2,-0.4889,-0.5702,"Currents and flat chains associated to varifolds, with an application to mean curvature flow",2009,"https://doi.org/10.1215/00127094-2009-019",1],[2,0.3691,-0.621,"Complements on surfaces",1997,"https://arxiv.org/abs/alg-geom/9711024",1],[2,-0.166,0.6307,"Conformal invariance of domino tiling",1999,"https://arxiv.org/abs/math-ph/9910002",2],[2,-0.3764,-0.7362,"Spherical rank rigidity and Blaschke manifolds",2003,"https://arxiv.org/abs/math/0305177",1],[2,0.67,-0.4932,"Curves on K3 surfaces",2022,"https://doi.org/10.1215/00127094-2021-0107",1],[2,-0.8401,0.1187,"Fusion products of twisted modules in permutation orbifolds",2023,"https://doi.org/10.1090/tran/8959",1],[2,-0.732,0.2546,"Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry",2020,"https://doi.org/10.1007/s12220-020-00431-0",1],[2,-0.2584,0.596,"The scaling limit of critical Ising interfaces is $\\mathrm{CLE}_{3}$",2019,"https://doi.org/10.1214/18-aop1301",2],[2,0.0558,-0.8516,"Generalized Vojta–Rémond inequality",2019,"https://doi.org/10.1142/s1793042120500062",1],[2,-0.2602,0.6087,"The annealed spectral sample of Voronoi percolation",2021,"https://doi.org/10.1214/20-aop1494",2],[2,-0.3112,0.6563,"Local large deviations and the strong renewal theorem",2019,"https://doi.org/10.1214/19-ejp319",1],[2,-0.5057,-0.628,"On the topology and the boundary of N–dimensional RCD(K,N) spaces",2021,"https://doi.org/10.2140/gt.2021.25.445",1],[2,0.3364,-0.5597,"On a generalized canonical bundle formula and generalized adjunction",2019,"https://doi.org/10.2422/2036-2145.201810_001",2],[2,-0.327,0.5611,"The Random Matrix Theory of the Classical Compact Groups",2019,"https://doi.org/10.1017/9781108303453",2],[2,-0.6317,0.2167,"Strong Cosmic Censorship in Spherical Symmetry for Two-Ended Asymptotically Flat Initial Data II: The Exterior of the Black Hole Region",2019,"https://doi.org/10.1007/s40818-019-0062-7",3],[2,-0.5435,-0.6345,"Area of minimal hypersurfaces",2019,"https://arxiv.org/abs/1907.07314",1],[2,0.3504,-0.7921,"On the Duffin-Schaeffer conjecture",2020,"https://doi.org/10.4007/annals.2020.192.1.5",1],[2,0.2957,-0.724,"Strong Approximation with Brauer–Manin Obstruction for Toric Varieties",2018,"https://doi.org/10.5802/aif.3199",1],[2,-0.7821,-0.0371,"A class of nonsymmetric harmonic Riemannian spaces",1992,"https://arxiv.org/abs/math/9207213",1],[2,-0.7878,-0.2762,"On topological cyclic homology",2018,"https://doi.org/10.4310/acta.2018.v221.n2.a1",1],[2,-0.5367,-0.6821,"Lecture Notes On Differential Calculus on $\\sf {RCD}$ Spaces",2018,"https://doi.org/10.4171/prims/54-4-4",1],[2,0.354,-0.641,"The dual complex of singularities",2018,"https://doi.org/10.2969/aspm/07410103",1],[2,0.4267,-0.4848,"A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles",2016,"https://doi.org/10.3792/pjaa.92.84",2],[2,0.6394,-0.4408,"A remark on our paper “Negative holomorphic curvature and positive canonical bundle”",2016,"https://doi.org/10.4310/cag.2016.v24.n4.a9",1],[2,0.1559,-0.8488,"On an inverse ternary Goldbach problem",2016,"https://doi.org/10.1353/ajm.2016.0038",1],[2,0.6257,0.5129,"Quantitative Density under Higher Rank Abelian Algebraic Toral Actions",2010,"https://doi.org/10.1093/imrn/rnq222",1],[2,-0.4711,-0.5463,"Non-collapsing for hypersurface flows in the sphere and hyperbolic space",2015,"https://doi.org/10.2422/2036-2145.201206_012",1],[2,-0.192,0.6083,"Intersections of SLE Paths: the double and cut point dimension of SLE",2016,"https://doi.org/10.1007/s00440-015-0677-x",5],[2,-0.7188,-0.0553,"Structural properties of close II$_1$ factors",2016,"https://doi.org/10.17879/33249460964",1],[2,0.7067,0.1962,"Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program",2013,"https://doi.org/10.4171/cmh/292",1],[2,0.7098,-0.5112,"Towards a mathematical definition of Coulomb branches of $3$-dimensional $\\mathcal{N}=4$ gauge theories, I",2016,"https://doi.org/10.4310/atmp.2016.v20.n3.a4",1],[2,-0.5383,-0.5002,"The fixed point property via dual space properties",2008,"https://doi.org/10.1016/j.jfa.2008.04.021",1],[2,-0.031,0.7524,"On the diagonalization of the discrete Fourier transform",2008,"https://doi.org/10.1016/j.acha.2008.11.003",1],[2,0.4909,-0.5972,"Étoiles and valuations",2016,"https://doi.org/10.1016/j.jpaa.2016.07.007",1],[2,-0.3465,0.5506,"Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs",2016,"https://doi.org/10.1002/cpa.21641",2],[2,0.0474,0.6634,"Lech's conjecture in dimension three",2017,"https://doi.org/10.1016/j.aim.2017.10.032",2],[2,0.729,0.2575,"Non-commutative Edmonds’ problem and matrix semi-invariants",2016,"https://doi.org/10.1007/s00037-016-0143-x",1],[2,-0.626,0.2267,"Proof of the Riemannian Penrose inequality with charge for multiple black holes",2017,"https://doi.org/10.4310/jdg/1500084023",4],[2,-0.2044,0.6321,"Gaussian fluctuations for the classical XY model",2018,"https://doi.org/10.1214/17-aihp854",2],[2,-0.0896,0.8059,"Excellent Extensions and Homological Conjectures",2018,"https://doi.org/10.1142/s1005386718000433",1],[2,0.7575,0.2702,"Constructive non-commutative rank computation is in deterministic polynomial time",2018,"https://doi.org/10.1007/s00037-018-0165-7",1],[2,0.3463,-0.565,"Minimizing normalized volumes of valuations",2017,"https://doi.org/10.1007/s00209-017-1963-3",4],[2,-0.7651,0.2696,"Fredholm operators and Einstein metrics on conformally compact manifolds",2006,"https://doi.org/10.1090/memo/0864",1],[2,0.5977,0.5768,"Sparse bounds for maximally truncated oscillatory singular integrals",2018,"https://doi.org/10.2422/2036-2145.201706_023",1],[2,0.48,-0.6867,"Every rational Hodge isometry between two K3K3 surfaces is algebraic",2017,"https://doi.org/10.1515/crelle-2017-0027",1],[2,0.0923,-0.8347,"Square-free values of n2+1",2012,"https://doi.org/10.4064/aa155-1-1",1],[2,-0.6206,0.1473,"Local reversibility and entanglement structure of many-body ground states",2017,"https://doi.org/10.1088/2058-9565/aa523d",2],[2,0.6329,0.5092,"Dimension theory of iterated function systems",2009,"https://doi.org/10.1002/cpa.20276",1],[2,0.6243,-0.426,"Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds",2017,"https://doi.org/10.1007/s00208-017-1521-7",1],[2,-0.6127,0.2605,"Non-linear ground state representations and sharp Hardy inequalities",2008,"https://doi.org/10.1016/j.jfa.2008.05.015",3],[2,-0.2717,0.5931,"The dilute Temperley–Lieb O( n = 1) loop model on a semi infinite strip: the sum rule",2017,"https://doi.org/10.1088/1742-5468/aa6bc3",2],[2,-0.7414,-0.0662,"Perturbations of Von Neumann Subalgebras With Finite Index",2015,"https://doi.org/10.4153/cmb-2015-081-8",1],[2,0.3402,-0.5692,"Kähler–Einstein metrics and volume minimization",2018,"https://doi.org/10.1016/j.aim.2018.10.038",2],[2,-0.6422,0.5181,"Schubert calculus on the Grassmannian of hermitian lagrangian spaces",2010,"https://doi.org/10.1016/j.aim.2010.02.003",1],[2,-0.6433,0.0277,"The nuclear dimension of C ∗ -algebras",2009,"https://doi.org/10.1016/j.aim.2009.12.005",2],[2,-0.2915,0.698,"Alternating arm exponents for the critical planar Ising model",2018,"https://doi.org/10.1214/17-aop1241",1],[2,-0.801,-0.015,"K -homology and Fredholm operators I: Dirac operators",2018,"https://doi.org/10.1016/j.geomphys.2018.08.008",1],[2,-0.454,-0.6908,"A Uniform Sobolev Inequality Under Ricci Flow",2007,"https://doi.org/10.1093/imrn/rnm056",1],[2,-0.6976,0.2391,"Conserved quantities on asymptotically hyperbolic initial data sets",2016,"https://doi.org/10.4310/atmp.2016.v20.n6.a2",1],[2,0.3982,0.7652,"Difference sets and polynomials of prime variables",2009,"https://doi.org/10.4064/aa138-1-2",1],[2,-0.7285,0.4505,"Largeness of LERF and 1-relator groups",2010,"https://doi.org/10.4171/ggd/102",1],[2,-0.6393,0.0898,"Parisi formula for the ground state energy in the mixed $p$-spin model",2017,"https://doi.org/10.1214/16-aop1173",2],[2,-0.7566,-0.1399,"On a class of operators in the hyperfinite $\\mathrm{II}_1$ factor",2017,"https://doi.org/10.7146/math.scand.a-25625",1],[2,0.1593,-0.6477,"THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS",2016,"https://doi.org/10.1017/fmp.2016.6",4],[2,0.2857,-0.7224,"The Gross–Prasad conjecture and local theta correspondence",2016,"https://doi.org/10.1007/s00222-016-0662-8",1],[2,-0.6562,-0.0622,"Khintchine type inequalities for reduced free products and applications",2006,"https://doi.org/10.1515/crelle.2006.077",3],[2,0.3872,-0.5346,"The Brauer category and invariant theory",2015,"https://doi.org/10.4171/jems/558",2],[2,-0.3615,-0.6854,"Embedding Property of J-holomorphic Curves in Calabi-Yau Manifolds for Generic J",2009,"https://doi.org/10.4310/ajm.2009.v13.n3.a4",1],[2,-0.1599,-0.2319,"Embedding the diamond graph in Lp and dimension reduction in L1",2004,"https://doi.org/10.1007/s00039-004-0473-8",4],[2,-0.7156,-0.3105,"K-theory for the maximal Roe algebra of certain expanders",2009,"https://doi.org/10.1016/j.jfa.2009.04.017",1],[2,-0.6817,0.5017,"Uniformization of two-dimensional metric surfaces",2016,"https://doi.org/10.1007/s00222-016-0686-0",1],[2,-0.6065,0.2524,"Group synchronization on grids",2018,"https://doi.org/10.4171/msl/6",3],[2,-0.7203,-0.2117,"ON THE DOUBLE TRANSFER AND THE f-INVARIANT",2012,"https://doi.org/10.1017/s0017089512000158",1],[2,0.3562,-0.644,"Boundedness of log Calabi–Yau pairs of Fano type",2015,"https://doi.org/10.4310/mrl.2015.v22.n6.a8",1],[2,0.6667,-0.4687,"An Algebro-Geometric Realization of the Cohomology Ring of Hilbert Scheme of Points in the Affine Plane",2016,"https://doi.org/10.1093/imrn/rnw115",1],[2,-0.7151,-0.267,"On the Drinfeld moduli problem of $p$-divisible groups",2017,"https://doi.org/10.4310/cjm.2017.v5.n2.a2",1],[2,-0.2174,-0.7993,"Global uniqueness in inverse boundary value problems for the Navier–Stokes equations and Lamé system in two dimensions*",2015,"https://doi.org/10.1088/0266-5611/31/3/035004",1],[2,-0.6333,-0.4705,"On the extension of isometries between the unit spheres of von Neumann algebras",2018,"https://doi.org/10.1016/j.jmaa.2018.05.062",1],[2,0.0154,-0.8096,"As easy as ℚ: Hilbert’s Tenth Problem for subrings of the rationals and number fields",2016,"https://doi.org/10.1090/tran/7075",1],[2,0.8,-0.0474,"Solution of the Propeller Conjecture in $$\\mathbb R ^3$$ R 3",2013,"https://doi.org/10.1007/s00454-013-9530-0",1],[2,-0.6108,0.2558,"Boundary-connectivity via graph theory",2012,"https://doi.org/10.1090/s0002-9939-2012-11333-4",6],[2,0.1246,-0.7934,"A note on Dirichlet L -functions",2018,"https://doi.org/10.1016/j.exmath.2018.06.003",1],[2,-0.2723,0.5889,"Optimal Hölder continuity and dimension properties for SLE with Minkowski content parametrization",2018,"https://doi.org/10.1007/s00440-018-0895-0",2],[2,-0.3034,-0.5762,"A note on exact forms on almost complex manifolds",2012,"https://doi.org/10.4310/mrl.2012.v19.n3.a13",2],[2,-0.8092,0.2811,"Phase Space for the Einstein Equations",2005,"https://doi.org/10.4310/cag.2005.v13.n5.a1",1],[2,0.043,-0.6396,"Rational points in periodic analytic sets and the Manin–Mumford conjecture",2008,"https://doi.org/10.4171/rlm/514",3],[2,0.3778,-0.5097,"Notes on the weak positivity theorems",2019,"https://doi.org/10.2969/aspm/07510073",5],[2,0.5871,-0.2707,"Sharp $L^2$ estimates of the Schrödinger maximal function in higher dimensions",2019,"https://doi.org/10.4007/annals.2019.189.3.4",3],[2,-0.296,0.8032,"Correlation Bounds for Distant Parts of Factor of IID Processes",2017,"https://doi.org/10.1017/s0963548317000360",1],[2,-0.631,0.0282,"Ranks of operators in simple C∗ -algebras",2010,"https://doi.org/10.1016/j.jfa.2010.03.022",2],[2,0.0079,-0.8036,"Genus periods, genus points and congruent number problem",2017,"https://doi.org/10.4310/ajm.2017.v21.n4.a5",1],[2,-0.3647,-0.5299,"Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature—Part II",2019,"https://doi.org/10.1007/s00526-019-1484-5",2],[2,-0.6556,-0.2876,"The maximal coarse Baum–Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space",2013,"https://doi.org/10.1016/j.aim.2013.09.003",1],[2,-0.0913,0.6509,"Derived categories and Deligne-Lusztig varieties II",2015,"https://doi.org/10.4007/annals.2017.185.2.5",2],[2,0.3407,0.6308,"The Chromatic Number of the Plane is At Least 5: A New Proof",2019,"https://doi.org/10.1007/s00454-019-00058-1",1],[2,0.3186,-0.5857,"Boundedness of varieties of log general type",2018,"https://doi.org/10.1090/pspum/097.1/01677",2],[2,-0.6735,0.4663,"Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems",2006,"https://doi.org/10.1090/memo/0843",1],[2,-0.7456,-0.0646,"A noncommutative Amir–Cambern theorem for von Neumann algebras and nuclear C⁎ -algebras",2014,"https://doi.org/10.1016/j.jfa.2014.05.018",1],[2,0.3403,-0.5677,"Stability of Valuations: Higher Rational Rank",2018,"https://doi.org/10.1007/s42543-018-0001-7",5],[2,0.4319,-0.5904,"Algebraic cycles on an abelian variety",2011,"https://doi.org/10.1515/crelle.2011.025",1],[2,-0.7006,0.2055,"Construction of the Outer Automorphism of $${\\mathcal {S}}_{6}$$ S 6 via a Complex Hadamard Matrix",2018,"https://doi.org/10.1007/s11786-018-0382-0",1],[2,0.5957,-0.275,"POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES",2018,"https://doi.org/10.1017/fms.2018.11",2],[2,0.779,-0.2883,"On the boundedness of the Carleson operator near $L^1$",2013,"https://doi.org/10.4171/rmi/755",1],[2,0.4146,-0.7149,"Test ideals in non-$\\mathbb{Q}$-Gorenstein rings",2011,"https://doi.org/10.1090/s0002-9947-2011-05297-9",1],[2,0.3967,-0.7005,"Nonalgebraic hyperkähler manifolds",2010,"https://doi.org/10.4310/jdg/1292940689",1],[2,0.353,-0.5373,"Seshadri constants and very ample divisors on algebraic surfaces",2003,"https://doi.org/10.1515/crll.2003.044",2],[2,0.3811,-0.6875,"A solution of an L^2 extension problem with an optimal estimate and applications",2014,"https://doi.org/10.4007/annals.2015.181.3.6",1],[2,-0.366,-0.5592,"Einstein four-manifolds of pinched sectional curvature",2018,"https://doi.org/10.1016/j.aim.2018.07.003",3],[2,0.0431,-0.6422,"Theta height and Faltings height",2012,"https://doi.org/10.24033/bsmf.2623",4],[2,-0.8189,0.2625,"Selberg integral theory and Muttalib–Borodin ensembles",2017,"https://doi.org/10.1016/j.aam.2017.11.004",1],[2,0.2733,0.7052,"Poisson automorphisms and quiver moduli",2009,"https://doi.org/10.1017/s1474748009000176",1],[2,0.6176,-0.1908,"Flat Littlewood polynomials exist",2020,"https://doi.org/10.4007/annals.2020.192.3.6",3],[2,-0.1974,-0.6757,"On the linearized local Calderón problem",2009,"https://doi.org/10.4310/mrl.2009.v16.n6.a4",1],[2,0.3996,-0.7317,"Semi-stable extensions over 1-dimensional bases",2017,"https://doi.org/10.1007/s10114-017-7048-8",1],[2,0.4901,-0.6715,"Cohomological field theories with non-tautological classes",2019,"https://doi.org/10.4310/arkiv.2019.v57.n1.a10",1],[2,0.3184,-0.5632,"Abundance for Kähler threefolds",2016,"https://doi.org/10.24033/asens.2301",4],[2,-0.7034,0.2468,"The Conformal Flow of Metrics and the General Penrose Inequality",2018,"https://doi.org/10.1155/2018/7390148",1],[2,0.2821,-0.7052,"Rigidity in automorphic representations and local systems",2013,"https://doi.org/10.4310/cdm.2013.v2013.n1.a2",1],[2,-0.0876,-0.2665,"Integral p -adic Hodge theory",2018,"https://doi.org/10.1007/s10240-019-00102-z",2],[2,-0.0535,0.7291,"Betti numbers of Springer fibers in type A",2009,"https://doi.org/10.1016/j.jalgebra.2009.07.008",1],[2,-0.8376,-0.1132,"Hochschild cohomology of type II_1 von Neumann algebras with property Γ",2015,"https://doi.org/10.7153/oam-09-31",1],[2,-0.6059,0.2174,"Uniqueness and Non-Uniqueness of Static Vacuum Black Holes in Higher Dimensions",2002,"https://doi.org/10.1143/ptps.148.284",4],[2,0.3685,-0.5536,"Embeddings of affine spaces into quadrics",2018,"https://doi.org/10.1090/tran/7555",2],[2,-0.6118,0.5004,"On the existence of representations of finitely presented groups in compact Lie groups",2013,"https://doi.org/10.1016/j.topol.2013.08.003",1],[2,-0.8323,0.1692,"Parallel Repetition of Free Entangled Games: Simplification and Improvements",2014,"https://arxiv.org/abs/1410.4397",1],[2,0.5912,-0.5687,"Lagrangian fibrations on symplectic fourfolds",2016,"https://doi.org/10.1515/crelle-2016-0004",1],[2,0.8306,-0.181,"Minimal volume product near Hanner polytopes",2013,"https://doi.org/10.1016/j.jfa.2013.08.008",1],[2,0.3219,-0.5761,"Effective Iitaka fibrations",2009,"https://doi.org/10.1090/s1056-3911-09-00515-3",3],[2,0.7098,-0.2623,"Pointwise convergence of Fourier series (I). On a conjecture of Konyagin",2017,"https://doi.org/10.4171/jems/703",1],[2,0.4129,-0.6433,"Degenerations of planar linear systems",1998,"https://doi.org/10.1515/crll.1998.077",1],[2,-0.7614,0.1098,"DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS",2005,"https://doi.org/10.1142/s0219199705001799",1],[2,-0.6934,0.218,"Area laws and efficient descriptions of quantum many-body states",2016,"https://doi.org/10.1088/1367-2630/18/8/083026",1],[2,0.3721,-0.5185,"Invariants of the special orthogonal group and an enhanced Brauer category",2018,"https://doi.org/10.4171/lem/63-1/2-6",2],[2,-0.7885,0.2601,"Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M",2016,"https://doi.org/10.4007/annals.2016.183.3.2",1],[2,0.5755,-0.5428,"Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds",2017,"https://doi.org/10.4467/20843828am.17.005.7081",1],[2,0.4932,0.5376,"The entropy conjecture for diffeomorphisms away from tangencies",2013,"https://doi.org/10.4171/jems/413",1],[2,-0.7479,-0.0959,"Vanishing of second cohomology for tensor products of type II1 von Neumann algebras",2010,"https://doi.org/10.1016/j.jfa.2010.01.013",1],[2,-0.5163,-0.691,"On the local isometric embedding in ℝ3of surfaces with zero sets of Gaussian curvature forming cusp domains",2016,"https://doi.org/10.1080/03605302.2016.1227336",1],[2,-0.4083,-0.5836,"Integrability of rough almost complex structures",2003,"https://doi.org/10.1007/bf02931002",1],[2,-0.1334,-0.7268,"Free boundary regularity for a problem with right hand side",2011,"https://doi.org/10.4171/ifb/255",1],[2,0.4147,-0.516,"Abundance theorem for semi log canonical surfaces in positive characteristic",2016,"https://doi.org/10.18910/58879",2],[2,-0.3012,-0.5713,"Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds",2009,"https://doi.org/10.4310/cag.2009.v17.n4.a4",2],[2,0.8053,-0.1658,"On the volume product of planar polar convex bodies — Lower estimates with stability",2013,"https://doi.org/10.1556/sscmath.50.2013.2.1235",1],[2,-0.6514,0.0193,"Central sequence C* -algebras and tensorial absorption of the Jiang–Su algebra",2013,"https://doi.org/10.1515/crelle-2012-0118",2],[2,0.7677,0.1444,"Faster Algorithms for Mean-Payoff Parity Games",2017,"https://doi.org/10.4230/lipics.mfcs.2017.39",1],[2,-0.4057,-0.5741,"Plurisubharmonicity of envelopes of disc functionals on manifolds",2003,"https://doi.org/10.1515/crll.2003.013",1],[2,0.4416,0.5846,"Measure preserving actions of affine semigroups and patterns",2016,"https://doi.org/10.1017/etds.2016.39",1],[2,-0.0526,0.6462,"Kronecker products, characters, partitions, and the tensor square conjectures",2015,"https://doi.org/10.1016/j.aim.2015.11.002",2],[2,-0.3449,0.5636,"Variational representations for the Parisi functional and the two-dimensional Guerra–Talagrand bound",2017,"https://doi.org/10.1214/16-aop1154",2],[2,0.3513,-0.5466,"Okounkov bodies and Seshadri constants",2013,"https://doi.org/10.1016/j.aim.2013.04.005",2],[2,0.4455,-0.4907,"Białynicki-Birula decomposition for reductive groups",2019,"https://doi.org/10.1016/j.matpur.2019.04.006",4],[2,-0.7915,-0.0325,"Weak amenability of hyperbolic groups",2008,"https://doi.org/10.4171/ggd/40",1],[2,0.4209,-0.5842,"Combinatorics of symplectic invariant tensors",2015,"https://doi.org/10.46298/dmtcs.2508",1],[2,0.4432,-0.5769,"Torsion Pairs and Quasi-abelian Categories",2020,"https://doi.org/10.1007/s10468-020-10004-y",1],[2,0.5794,-0.2668,"A sharp Schrödinger maximal estimate in $\\mathbb{R}^2$",2017,"https://doi.org/10.4007/annals.2017.186.2.5",2],[2,0.7215,-0.0814,"Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties",2014,"https://doi.org/10.5802/afst.1386",1],[2,-0.6884,-0.3595,"On Quillen's conjecture for p-solvable groups",2018,"https://doi.org/10.1016/j.jalgebra.2018.07.027",1],[2,0.2824,0.0822,"Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants",2011,"https://doi.org/10.4310/cntp.2011.v5.n2.a1",2],[2,0.8648,0.122,"Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes",2008,"https://doi.org/10.1093/imrn/rnn133",1],[2,0.5038,0.4223,"On the dimension of Bernoulli convolutions for all transcendental parameters",2018,"https://doi.org/10.4007/annals.2019.189.3.9",2],[2,-0.4952,-0.7092,"Volume Growth and Curvature Decay of Positively Curved Kahler Manifolds",2005,"https://doi.org/10.4310/pamq.2005.v1.n1.a4",1],[2,0.4329,0.252,"The quantitative behaviour of polynomial orbits on nilmanifolds",2012,"https://doi.org/10.4007/annals.2012.175.2.2",3],[2,-0.2646,0.6511,"Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map II: local estimates and empty reduced word exponent",2017,"https://doi.org/10.1214/17-ejp64",1],[2,0.2382,-0.6082,"Spectral action in Betti Geometric Langlands",2019,"https://doi.org/10.1007/s11856-019-1871-9",2],[2,0.4214,-0.5631,"Virtual pull-backs",2011,"https://doi.org/10.1090/s1056-3911-2011-00606-1",1],[2,-0.2447,0.6029,"Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map I: Cone times",2019,"https://doi.org/10.1214/17-aihp874",2],[2,-0.7631,-0.1627,"PURE STATES ON FREE GROUP C*-ALGEBRAS",2009,"https://doi.org/10.1017/s0017089509990383",1],[2,-0.5067,-0.6399,"Riemann curvature tensor on RCD spaces and possible applications",2019,"https://doi.org/10.1016/j.crma.2019.06.003",1],[2,0.0537,0.8523,"An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case",2018,"https://doi.org/10.2748/tmj/1537495352",1],[2,0.402,-0.6586,"Twisted stable maps to tame Artin stacks",2010,"https://doi.org/10.1090/s1056-3911-2010-00569-3",1],[2,0.758,-0.329,"Principal values for Riesz transforms and rectifiability",2007,"https://doi.org/10.1016/j.jfa.2007.07.020",1],[2,-0.7486,-0.384,"Cable knots do not admit cosmetic surgeries",2019,"https://doi.org/10.1142/s0218216519500342",1],[2,0.4972,-0.525,"Torsion points on the cohomology jump loci of compact Kähler manifolds",2016,"https://doi.org/10.4310/mrl.2016.v23.n2.a12",1],[2,-0.0486,-0.6583,"Finite time blowup for an averaged three-dimensional Navier-Stokes equation",2015,"https://doi.org/10.1090/jams/838",2],[2,0.5809,-0.5775,"Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces",2002,"https://doi.org/10.1515/crll.2002.028",1],[2,0.496,0.6446,"NEW BOUNDS FOR SZEMERÉDI'S THEOREM, III: A POLYLOGARITHMIC BOUND FOR",2017,"https://doi.org/10.1112/s0025579317000316",1],[2,-0.4997,-0.7155,"On Yau’s uniformization conjecture",2019,"https://doi.org/10.4310/cjm.2019.v7.n1.a2",1],[2,0.4057,-0.52,"On the three dimensional minimal model program in positive characteristic",2014,"https://doi.org/10.1090/s0894-0347-2014-00809-2",2],[2,-0.7191,0.2081,"Orderly generation of Butson Hadamard matrices",2019,"https://doi.org/10.1090/mcom/3453",1],[2,-0.6784,0.4255,"SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS",2006,"https://doi.org/10.1142/s0129167x06003448",1],[2,0.5568,-0.4321,"Configurations of points on degenerate varieties and properness of moduli spaces",2017,"https://doi.org/10.4171/rsmup/137-1",1],[2,0.2696,-0.7096,"Arithmetic in the fundamental group of ap-adic curve. On thep-adic section conjecture for curves",2014,"https://doi.org/10.1515/crelle-2014-0077",1],[2,0.3286,-0.5468,"Explicit Gromov–Hausdorff compactifications of moduli spaces of Kähler–Einstein Fano manifolds",2017,"https://doi.org/10.4310/pamq.2017.v13.n3.a5",2],[2,-0.3266,0.7997,"Level lines of Gaussian Free Field I: Zero-boundary GFF",2016,"https://doi.org/10.1016/j.spa.2016.07.009",1],[2,-0.2613,0.6059,"Annealed scaling relations for Voronoi percolation",2019,"https://doi.org/10.1214/19-ejp293",3],[2,0.3888,-0.703,"On subadditivity of the logarithmic Kodaira dimension",2017,"https://doi.org/10.2969/jmsj/06941565",1],[2,0.7442,-0.0572,"Notes on extremality of the Choi map",2013,"https://doi.org/10.1016/j.laa.2013.09.011",1],[2,0.6964,-0.2558,"Hilbert transform along measurable vector fields constant on Lipschitz curves: 𝐿^{𝑝} boundedness",2015,"https://doi.org/10.1090/tran/6750",1],[2,-0.5784,0.4863,"Fixed point property for a CAT(0) space which admits a proper cocompact group action",2016,"https://doi.org/10.2996/kmj/1458651696",1],[2,0.7875,-0.1733,"Stability of the reverse Blaschke-Santaló inequality for unconditional convex bodies",2014,"https://doi.org/10.1090/s0002-9939-2014-12334-3",1],[2,-0.4288,-0.6197,"On the simply connectedness of nonnegatively curved Kähler manifolds and applications",2011,"https://doi.org/10.1090/s0002-9947-2011-05223-2",1],[2,0.2371,-0.7613,"Irrationality of certain p-adic periods for small p",2005,"https://doi.org/10.1155/imrn.2005.1235",1],[2,0.494,-0.6252,"Semi-stable Higgs sheaves and Bogomolov type inequality",2017,"https://doi.org/10.1007/s00526-017-1174-0",1],[2,0.4586,0.6937,"Some old and new problems in combinatorial geometry I: around Borsuk's problem",2015,"https://doi.org/10.1017/cbo9781316106853.005",1],[2,0.0794,-0.8034,"Existence de filtrations admissibles sur des isocristaux",2005,"https://doi.org/10.24033/bsmf.2479",1],[2,-0.7998,-0.2672,"On the surjectivity of the map of spectra associated to a tensor-triangulated functor",2017,"https://doi.org/10.1112/blms.12158",1],[2,-0.6713,-0.0661,"Independence properties in subalgebras of ultraproduct II1 factors",2014,"https://doi.org/10.1016/j.jfa.2014.02.004",4],[2,-0.64,-0.0675,"Unique prime factorization and bicentralizer problem for a class of type III factors",2016,"https://doi.org/10.1016/j.aim.2016.09.030",2],[2,-0.4128,0.7144,"Fluctuations of the free energy in the mixed p-spin models with external field",2016,"https://doi.org/10.1007/s00440-016-0705-5",1],[2,0.2589,-0.6714,"Equivariant Satake Category and Kostant–Whittaker Reduction",2008,"https://doi.org/10.17323/1609-4514-2008-8-1-39-72",1],[2,-0.6079,0.3904,"Boundaries of reduced C*C^{*}-algebras of discrete groups",2014,"https://doi.org/10.1515/crelle-2014-0111",1],[2,-0.5806,-0.6267,"Realisation of cycles by aspherical manifolds",2008,"https://doi.org/10.1070/rm2008v063n03abeh004540",1],[2,-0.7217,0.0805,"The $so(d + 2, 2)$ minimal representation and ambient tractors: the conformal geometry of momentum space",2009,"https://doi.org/10.4310/atmp.2009.v13.n6.a7",1],[2,0.4358,-0.4928,"Kodaira dimension of algebraic fiber spaces over surfaces",2018,"https://doi.org/10.14231/ag-2018-020",2],[2,-0.423,-0.5211,"Heat Kernel Bounds on Metric Measure Spaces and Some Applications",2015,"https://doi.org/10.1007/s11118-015-9521-2",2],[2,0.5739,0.3298,"On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups",2016,"https://doi.org/10.1016/j.tcs.2016.09.024",2],[2,0.2308,-0.6011,"Triviality properties of principal bundles on singular curves",2019,"https://doi.org/10.14231/ag-2019-012",2],[2,0.0671,-0.7696,"The classification of $p$-divisible groups over $2$-adic discrete valuation rings",2012,"https://doi.org/10.4310/mrl.2012.v19.n1.a10",1],[2,0.8113,0.1036,"Approximating permanents and hafnians",2017,"https://doi.org/10.19086/da.1244",1],[2,0.6229,-0.6125,"Geometric constant term functor(s)",2016,"https://doi.org/10.1007/s00029-016-0269-3",1],[2,-0.3144,0.6875,"Decomposition of Schramm–Loewner evolution along its curve",2018,"https://doi.org/10.1016/j.spa.2018.02.010",1],[2,-0.6708,0.4105,"Quasi-isometries and Rigidity of Solvable Groups",2007,"https://doi.org/10.4310/pamq.2007.v3.n4.a3",1],[2,-0.6088,0.0794,"On Ulam stability",2012,"https://doi.org/10.1007/s11856-012-0050-z",3],[2,0.0163,-0.8443,"Defining Z in Q",2010,"https://doi.org/10.4007/annals.2016.183.1.2",1],[2,-0.3094,0.7601,"Liouville quantum gravity on the unit disk",2018,"https://doi.org/10.1214/17-aihp852",1],[2,0.4244,-0.4919,"The Iitaka conjecture C n , m in dimension six",2009,"https://doi.org/10.1112/s0010437x09004187",2],[2,0.2103,-0.7421,"SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS",2016,"https://doi.org/10.1017/fms.2016.6",1],[2,0.2022,-0.2402,"Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory",2012,"https://doi.org/10.4007/annals.2012.176.2.5",5],[2,-0.1911,0.6228,"Conformal invariance in random cluster models. I. Holmorphic fermions in the Ising model",2010,"https://doi.org/10.4007/annals.2010.172.1435",9],[2,-0.4523,0.6686,"Fixed Energy Universality for Generalized Wigner Matrices",2015,"https://doi.org/10.1002/cpa.21624",1],[2,-0.7976,0.0286,"Classification of C∗ -homomorphisms from C0(0,1] to a C∗ -algebra",2009,"https://doi.org/10.1016/j.jfa.2009.06.025",1],[2,0.0078,-0.7678,"Moments of the Rank of Elliptic Curves",2011,"https://doi.org/10.4153/cjm-2011-037-7",1],[2,0.6303,-0.602,"Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface",2019,"https://doi.org/10.2969/aspm/06910473",1],[2,0.3702,-0.5151,"Kodaira dimension of algebraic fiber spaces over abelian varieties",2016,"https://doi.org/10.1007/s00222-016-0672-6",5],[2,0.7796,-0.3906,"A local smoothing estimate in higher dimensions",2002,"https://doi.org/10.1007/bf02786576",1],[2,0.1408,-0.7067,"Large gaps between consecutive prime numbers",2016,"https://doi.org/10.4007/annals.2016.183.3.4",1],[2,0.5694,-0.299,"A sharp bilinear restriction estimate for paraboloids",2003,"https://doi.org/10.1007/s00039-003-0449-0",5],[2,0.3114,-0.578,"Log pluricanonical representations and the abundance conjecture",2014,"https://doi.org/10.1112/s0010437x13007495",7],[2,0.471,-0.5195,"Positivity and vanishing theorems for ample vector bundles",2012,"https://doi.org/10.1090/s1056-3911-2012-00588-8",1],[2,-0.611,0.4229,"Discrete Morse theory and a reformulation of theK(π,1)-conjecture",2016,"https://doi.org/10.1080/00927872.2016.1226852",1],[2,-0.1836,0.6158,"Convergence of Ising interfaces to Schrammʼs SLE curves",2014,"https://doi.org/10.1016/j.crma.2013.12.002",9],[2,-0.7911,0.0362,"The Rohlin property for automorphisms of the Jiang–Su algebra",2010,"https://doi.org/10.1016/j.jfa.2010.04.006",1],[2,-0.06,-0.3174,"-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES",2013,"https://doi.org/10.1017/fmp.2013.1",5],[2,-0.6186,-0.1346,"Higher index theory for certain expanders and Gromov monster groups, I",2011,"https://doi.org/10.1016/j.aim.2011.10.024",4],[2,-0.7194,0.0187,"The Jiang–Su algebra revisited",2010,"https://doi.org/10.1515/crelle.2010.039",1],[2,-0.4168,-0.5698,"On the local solvability of Darboux's equation",2009,"https://doi.org/10.3934/proc.2009.2009.451",1],[2,-0.5254,0.0378,"Positive mass theorem on manifolds admitting corners along a hypersurface",2002,"https://doi.org/10.4310/atmp.2002.v6.n6.a4",4],[2,0.6596,0.5607,"On the modulus of continuity for spectral measures in substitution dynamics",2014,"https://doi.org/10.1016/j.aim.2014.04.004",1],[2,0.7526,-0.0668,"Pointwise estimates for marginals of convex bodies",2008,"https://doi.org/10.1016/j.jfa.2007.08.014",1],[2,0.8167,-0.2494,"Littlewood polynomials with small L4 norm",2013,"https://doi.org/10.1016/j.aim.2013.03.015",1],[2,0.8381,0.1054,"Log-Concave Polynomials, Entropy, and a Deterministic Approximation Algorithm for Counting Bases of Matroids",2018,"https://doi.org/10.1109/focs.2018.00013",1],[2,0.0325,-0.7884,"A proof of the Howe duality conjecture",2015,"https://doi.org/10.1090/jams/839",1],[2,0.6616,-0.2303,"L^{j} estimates for a singular entangled quadrilinear form",2015,"https://doi.org/10.1090/tran/6850",1],[2,0.5328,-0.6701,"On base point freeness in positive characteristic",2015,"https://doi.org/10.24033/asens.2269",1],[2,-0.4947,-0.6198,"Cheeger-harmonic functions in metric measure spaces revisited",2013,"https://doi.org/10.1016/j.jfa.2013.11.022",1],[2,-0.7372,-0.3753,"Cosmetic surgeries on knots in S 3",2013,"https://doi.org/10.1515/crelle-2013-0067",1],[2,0.4056,-0.6403,"On Fujita's freeness conjecture for 3-folds and 4-folds",1997,"https://doi.org/10.1007/s002080050085",1],[2,-0.7822,-0.227,"Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space",2005,"https://doi.org/10.1090/s1056-3911-05-00402-9",1],[2,0.4647,-0.6041,"Constant Families of t-Structures on Derived Categories of Coherent Sheaves",2007,"https://doi.org/10.17323/1609-4514-2007-7-1-109-134",1],[2,-0.3094,0.6665,"Connective constant for a weighted self-avoiding walk on $\\mathbb{Z}^2$",2015,"https://doi.org/10.1214/ecp.v20-3844",1],[2,0.6532,-0.4457,"The Hartogs extension theorem on (n – 1)-complete complex spaces",2009,"https://doi.org/10.1515/crelle.2009.088",1],[2,-0.5539,-0.6431,"Isoperimetry and volume preserving stability in real projective spaces",2023,"https://doi.org/10.4310/jdg/1695236595",1],[2,-0.2794,0.6005,"The dilute Temperley–Lieb O( n = 1) loop model on a semi infinite strip: the ground state",2017,"https://doi.org/10.1088/1742-5468/aa6a30",2],[2,0.1692,0.8497,"Random triangle removal",2015,"https://doi.org/10.1016/j.aim.2015.04.015",1],[2,0.3593,-0.5543,"Convex bodies associated to linear series",2009,"https://doi.org/10.24033/asens.2109",4],[2,0.1288,-0.64,"Long gaps between primes",2017,"https://doi.org/10.1090/jams/876",3],[2,0.5826,-0.4759,"Fano $5$-folds with nef tangent bundles",2017,"https://doi.org/10.4310/mrl.2017.v24.n5.a6",1],[2,0.5368,-0.6054,"A vanishing theorem of Kollár–Ohsawa type",2016,"https://doi.org/10.1007/s00208-016-1371-8",1],[2,-0.6949,0.525,"Nil algebras with restricted growth",2012,"https://doi.org/10.1017/s0013091510001100",1],[2,0.5783,-0.4443,"Orbifold thechniques in degeneration formulas",2016,"https://doi.org/10.2422/2036-2145.201408_006",1],[2,0.4295,-0.4837,"A new proof of Kiselman's minimum principle for plurisubharmonic functions",2019,"https://doi.org/10.1016/j.crma.2019.04.006",2],[2,0.281,-0.7315,"Frobenius semisimplicity for convolution morphisms",2017,"https://doi.org/10.1007/s00209-017-1946-4",1],[2,-0.3624,-0.6838,"Family Seiberg–Witten invariants and wall crossing formulas",2001,"https://doi.org/10.4310/cag.2001.v9.n4.a5",1],[2,-0.8038,-0.1356,"Tensor products of the operator system generated by the Cuntz isometries",2016,"https://doi.org/10.7900/jot.2015aug04.2093",1],[2,0.6095,0.3744,"Monotonic and Non-Monotonic Solution Concepts for Generalized Circuits",2019,"https://doi.org/10.48550/arxiv.1907.12854",1],[2,0.4052,0.6873,"An exact penalty approach for optimization with nonnegative orthogonality constraints",2022,"https://doi.org/10.1007/s10107-022-01794-8",1],[2,0.2052,0.7868,"Proof of the circulant Hadamard conjecture",2019,"https://arxiv.org/abs/1907.12683",1],[2,0.7361,0.2834,"New upper bounds for trace reconstruction",2020,"https://arxiv.org/abs/2009.03296",1],[2,-0.1029,0.6587,"On the geometry of lattices and finiteness of Picard groups",2021,"https://doi.org/10.1515/crelle-2021-0064",2],[2,-0.6406,-0.4654,"Mankiewicz’s theorem and the Mazur–Ulam property for $\\mathbf {C}^*$-algebras",2019,"https://doi.org/10.4064/sm180727-14-11",1],[2,-0.7112,0.2227,"Mathematical open problems in projected entangled pair states",2019,"https://doi.org/10.1007/s13163-019-00318-x",1],[2,0.02,-0.8489,"Adaptation of Monsky matrices for 𝜃-congruent numbers",2019,"https://doi.org/10.1142/s1793042120500207",1],[2,-0.6384,0.4388,"Proof of the $$K(\\pi , 1)$$ conjecture for affine Artin groups",2020,"https://doi.org/10.1007/s00222-020-01016-y",1],[2,0.0409,-0.8326,"On the modularity of 2-adic potentially semi-stable deformation rings",2020,"https://doi.org/10.1007/s00209-020-02588-4",1],[2,0.361,-0.5483,"On residual and stable coordinates",2021,"https://doi.org/10.1016/j.jpaa.2021.106707",2],[2,0.7026,-0.2557,"Weighted Lépingle inequality",2020,"https://doi.org/10.3150/20-bej1194",1],[2,-0.4014,0.6264,"A Finitary Structure Theorem for Vertex-Transitive Graphs of Polynomial Growth",2021,"https://doi.org/10.1007/s00493-020-4295-6",1],[2,0.5852,-0.2894,"On Falconer’s distance set problem in the plane",2019,"https://doi.org/10.1007/s00222-019-00917-x",3],[2,0.4979,-0.5688,"Variation of singular Kähler–Einstein metrics: Kodaira dimension zero (with an appendix by Valentino Tosatti)",2021,"https://doi.org/10.4171/jems/1184",1],[2,-0.6376,-0.0354,"Stationary characters on lattices of semisimple Lie groups",2021,"https://doi.org/10.1007/s10240-021-00122-8",2],[2,0.6408,-0.0831,"Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture",2020,"https://doi.org/10.1090/proc/15003",2],[2,-0.4845,-0.6705,"Total Curvature and the Isoperimetric Inequality in Cartan–Hadamard Manifolds",2022,"https://doi.org/10.1007/s12220-021-00801-2",1],[2,0.5995,0.5316,"Lebesgue spectrum of countable multiplicity for conservative flows on the torus",2021,"https://doi.org/10.1090/jams/970",1],[2,0.1246,-0.8293,"Moments of quadratic Hecke L-functions of imaginary quadratic number fields",2019,"https://doi.org/10.1016/j.jnt.2019.09.002",1],[2,0.7147,-0.0551,"Conic stability of polynomials and positive maps",2020,"https://doi.org/10.1016/j.jpaa.2020.106610",1],[2,0.6189,0.1925,"The Power of the Weisfeiler-Leman Algorithm to Decompose Graphs",2019,"https://doi.org/10.4230/lipics.mfcs.2019.45",3],[2,0.6322,0.122,"Parity Games: Zielonka's Algorithm in Quasi-Polynomial Time",2019,"https://doi.org/10.4230/lipics.mfcs.2019.10",3],[2,-0.439,-0.4765,"Four Lectures on Scalar Curvature",2023,"https://doi.org/10.1142/9789811273223_0001",2],[2,0.6446,-0.4654,"On complexity of representations of quivers",2019,"https://doi.org/10.1016/j.crma.2019.10.013",1],[2,-0.3172,0.5525,"Order of fluctuations of the free energy in the SK model at critical temperature",2019,"https://doi.org/10.30757/alea.v16-29",2],[2,0.3432,0.7888,"A note on pseudorandom Ramsey graphs",2023,"https://doi.org/10.4171/jems/1359",1],[2,0.0537,-0.7413,"On the Zilber-Pink conjecture for complex abelian varieties",2022,"https://doi.org/10.24033/asens.2496",1],[2,-0.2378,0.8381,"Spins, percolation and height functions",2022,"https://doi.org/10.1214/22-ejp761",1],[2,0.5475,-0.5084,"Monodromy and birational geometry of O'Grady's sixfolds",2020,"https://doi.org/10.1016/j.matpur.2020.12.006",1],[2,-0.5944,0.4058,"XXL type Artin groups are CAT(0) and acylindrically hyperbolic",2022,"https://doi.org/10.5802/aif.3524",1],[2,0.2247,0.7759,"Explicit Near-Ramanujan Graphs of Every Degree",2020,"https://doi.org/10.1137/20m1342112",1],[2,0.236,-0.5955,"The motivic Satake equivalence",2021,"https://doi.org/10.1007/s00208-021-02176-9",3],[2,0.7019,-0.4947,"Highest weights for truncated shifted Yangians and product monomial crystals",2015,"https://doi.org/10.4171/jca/32",1],[2,0.3327,-0.7826,"The m-step solvable anabelian geometry of number fields",2022,"https://doi.org/10.1515/crelle-2022-0025",1],[2,0.2802,0.707,"Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials",2019,"https://doi.org/10.1016/j.disc.2019.111728",1],[2,0.6312,-0.2035,"Bounds on Rudin-Shapiro polynomials of arbitrary degree",2019,"https://arxiv.org/abs/1909.08777",3],[2,-0.2888,-0.5922,"Simple homotopy type of the Hamiltonian Floer complex",2021,"https://arxiv.org/abs/2110.10592",3],[2,-0.443,-0.6519,"Noncollapsed degeneration of Einstein 4–manifolds, II",2022,"https://doi.org/10.2140/gt.2022.26.1529",1],[2,0.6112,-0.4308,"Coulomb branches of $3d$ $\\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian",2019,"https://doi.org/10.4310/atmp.2019.v23.n1.a3",1],[2,-0.285,-0.5856,"The number of Hamiltonian fixed points on symplectically aspherical manifolds",2016,"https://arxiv.org/abs/1609.04776",4],[2,-0.3325,-0.5459,"Invariant metrics on negatively pinched complete Kähler manifolds",2019,"https://doi.org/10.1090/jams/933",2],[2,0.6575,0.054,"d-To-1 Hardness of Coloring 3-Colorable Graphs with O(1) Colors",2020,"https://doi.org/10.4230/lipics.icalp.2020.62",2],[2,-0.7992,0.2746,"Mode Stability for the Teukolsky Equation on Extremal and Subextremal Kerr Spacetimes",2020,"https://doi.org/10.1007/s00220-020-03796-z",1],[2,-0.6113,-0.5512,"Faber polynomials of matrices for non-convex sets",2013,"https://arxiv.org/abs/1310.1356",1],[2,0.6088,-0.4445,"Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis",2017,"https://doi.org/10.1007/978-3-319-61058-0",1],[2,0.5813,0.4812,"Super-exponential condensation without exact overlaps",2021,"https://doi.org/10.1016/j.aim.2020.107549",1],[2,-0.6499,0.4495,"Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems",2019,"https://doi.org/10.1016/j.jalgebra.2019.10.006",1],[2,0.712,-0.0978,"Extensions of Lipschitz mappings into a Hilbert space",1984,"https://doi.org/10.1090/conm/026/737400",1],[2,0.473,0.4541,"Pointwise convergence of multiple ergodic averages and strictly ergodic models",2019,"https://doi.org/10.1007/s11854-019-0061-3",3],[2,-0.2435,0.599,"Mating of trees for random planar maps and Liouville quantum gravity: a survey",2019,"https://arxiv.org/abs/1910.04713",2],[2,0.5831,-0.4788,"Minimal rational curves on generalized Bott–Samelson varieties",2021,"https://doi.org/10.1112/s0010437x20007629",1],[2,0.2209,-0.6226,"Recovering function fields from their integral $\\ell$-adic cohomology with the Galois action",2019,"https://arxiv.org/abs/1910.03563",2],[2,-0.8549,0.0029,"Classification of $\\mathcal O_\\infty$-stable $C^\\ast$-algebras",2019,"https://arxiv.org/abs/1910.06504",1],[2,-0.7658,-0.09,"On Ergodic Embeddings of Factors",2020,"https://doi.org/10.1007/s00220-020-03865-3",1],[2,-0.8498,0.1267,"Fusion and Positivity in Chiral Conformal Field Theory",2024,"https://doi.org/10.1007/s00039-024-00685-8",1],[2,-0.7816,0.1033,"The Quantum Approximate Optimization Algorithm and the Sherrington-Kirkpatrick Model at Infinite Size",2022,"https://doi.org/10.22331/q-2022-07-07-759",1],[2,-0.7482,-0.2885,"Adams' cobar construction revisited",2022,"https://doi.org/10.4171/dm/895",1],[2,0.0398,-0.8692,"On the 2‐part of the Birch and Swinnerton‐Dyer conjecture for quadratic twists of elliptic curves",2019,"https://doi.org/10.1112/jlms.12284",1],[2,-0.1385,-0.8538,"Second order estimate on transition layers",2019,"https://doi.org/10.1016/j.aim.2019.106856",1],[2,0.0636,-0.8504,"GEOMETRIC QUADRATIC CHABAUTY",2021,"https://doi.org/10.1017/s1474748021000244",1],[2,-0.7446,0.1065,"Twisted Modules and G-equivariantization in Logarithmic Conformal Field Theory",2020,"https://doi.org/10.1007/s00220-020-03882-2",1],[2,-0.3246,0.5768,"Extending the Parisi formula along a Hamilton-Jacobi equation",2020,"https://doi.org/10.1214/20-ejp432",3],[2,-0.8736,-0.0156,"On the boundaries of highly connected, almost closed manifolds",2023,"https://doi.org/10.4310/acta.2023.v231.n2.a1",1],[2,-0.79,-0.0864,"Tight decomposition of factors and the single generation problem",2021,"https://doi.org/10.7900/jot.2019nov01.2279",1],[2,0.2014,0.6299,"Thresholds versus fractional expectation-thresholds",2021,"https://doi.org/10.4007/annals.2021.194.2.2",3],[2,-0.0202,0.122,"Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture",2019,"https://doi.org/10.4007/annals.2019.190.3.6",2],[2,-0.5287,-0.4807,"A FIXED POINT THEOREM FOR THE NONEXPANSIVE MAPPINGS IN ANY REFLEXIVE BANACH SPACE",2019,"https://doi.org/10.17654/fp014020091",1],[2,0.0027,-0.8255,"p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin",2019,"https://doi.org/10.1007/s00222-019-00929-7",1],[2,-0.4216,0.6705,"Critical Site Percolation in High Dimension",2020,"https://doi.org/10.1007/s10955-020-02607-y",1],[2,0.1742,0.7178,"Path and cycle decompositions of dense graphs",2021,"https://doi.org/10.1112/jlms.12455",1],[2,-0.6464,0.4521,"The strong Atiyah and Lück approximation conjectures for one-relator groups",2019,"https://doi.org/10.1007/s00208-019-01926-0",1],[2,0.6971,0.1627,"Faster Integer Multiplication Using Preprocessing",2019,"https://arxiv.org/abs/1911.07124",1],[2,0.3073,-0.7987,"On the meromorphic continuation of Eisenstein series",2022,"https://doi.org/10.1090/jams/1020",1],[2,0.0562,-0.6562,"Quantitative Reduction Theory and Unlikely Intersections",2021,"https://doi.org/10.1093/imrn/rnab173",2],[2,-0.357,0.6478,"The d-Majorization Polytope",2022,"https://doi.org/10.1016/j.laa.2022.05.005",1],[2,0.5325,0.3578,"Formulation and properties of a divergence used to compare probability measures without absolute continuity",2022,"https://doi.org/10.1051/cocv/2022002",3],[2,-0.7782,-0.3964,"A note on Jones polynomial and cosmetic surgery",2019,"https://doi.org/10.4310/cag.2019.v27.n5.a3",1],[2,0.7277,-0.2966,"Regularity of the centered fractional maximal function on radial functions",2020,"https://doi.org/10.1016/j.jfa.2020.108686",1],[2,-0.3966,0.7159,"The Crisanti-Sommers Formula for Spherical Spin Glasses with Vector Spins",2019,"https://arxiv.org/abs/1911.04355",1],[2,-0.0563,-0.6703,"Universality of Euler flows and flexibility of Reeb embeddings",2023,"https://doi.org/10.1016/j.aim.2023.109142",3],[2,0.6085,0.4008,"A categorical characterization of relative entropy on standard Borel spaces",2023,"https://doi.org/10.46298/lmcs-19(4:10)2023",1],[2,0.1693,0.1029,"On the method of bounded differences",1989,"https://doi.org/10.1017/cbo9781107359949.008",3],[2,0.7241,0.2432,"Optimal Single-Choice Prophet Inequalities from Samples",2019,"https://doi.org/10.4230/lipics.itcs.2020.60",1],[2,0.5714,-0.5019,"Cohomology of contact loci",2022,"https://doi.org/10.4310/jdg/1649953456",1],[2,0.2919,0.7552,"On $e$-Positivity and $e$-Unimodality of Chromatic Quasi-symmetric Functions",2019,"https://doi.org/10.1137/18m1216201",1],[2,-0.0956,-0.7112,"Self-similar Blow-Up Profiles for Slightly Supercritical Nonlinear Schrödinger Equations",2021,"https://doi.org/10.1007/s00023-020-01006-z",1],[2,-0.6501,-0.2672,"Character rings in algebraic topology",1989,"https://doi.org/10.1017/cbo9780511662614.012",1],[2,0.3894,0.7418,"On a theorem of Sárközy for difference sets and shifted primes",2019,"https://doi.org/10.1016/j.jnt.2019.10.009",1],[2,-0.5862,-0.2628,"On the coarse Baum-Connes conjecture",1995,"https://doi.org/10.1017/cbo9780511629365.008",2],[2,-0.4191,0.6036,"A Proof of Sznitman's Conjecture about Ballistic RWRE",2019,"https://doi.org/10.1002/cpa.21877",1],[2,-0.6552,-0.0724,"Structure of bicentralizer algebras and inclusions of type $$\\mathrm{III}$$ factors",2019,"https://doi.org/10.1007/s00208-019-01939-9",2],[2,0.7662,0.0596,"On Rich 2-to-1 Games",2021,"https://doi.org/10.4230/lipics.itcs.2021.27",1],[2,-0.1033,0.8056,"Traces and Euler characteristics",1979,"https://doi.org/10.1017/cbo9781107325449.003",1],[2,0.268,-0.6941,"Supercuspidal L-packets",2019,"https://arxiv.org/abs/1912.03274",1],[2,-0.0849,0.7842,"Gorenstein‐projective modules over short local algebras",2022,"https://doi.org/10.1112/jlms.12577",1],[2,0.306,0.7757,"The cohomology of abelian Hessenberg varieties and the Stanley–Stembridge conjecture",2019,"https://doi.org/10.5802/alco.76",1],[2,-0.7512,0.3446,"Quantum Computational Complexity of the N -Representability Problem: QMA Complete",2007,"https://doi.org/10.1103/physrevlett.98.110503",1],[2,-0.2388,0.6089,"The geodesics in Liouville quantum gravity are not Schramm–Loewner evolutions",2019,"https://doi.org/10.1007/s00440-019-00949-7",2],[2,0.2542,-0.7133,"The irrationality measure of π is at most 7.103205334137…",2020,"https://doi.org/10.2140/moscow.2020.9.407",1],[2,0.4492,-0.4899,"On the extension ofL 2 holomorphic functions",1987,"https://doi.org/10.1007/bf01166457",3],[2,0.7752,0.1295,"High-precision Estimation of Random Walks in Small Space",2020,"https://doi.org/10.1109/focs46700.2020.00123",1],[2,-0.3668,-0.5547,"On Einstein Manifolds of Positive Sectional Curvature",1999,"https://doi.org/10.1023/a:1006597912184",3],[2,-0.5168,0.5316,"Geology of symmetric grounds",2019,"https://arxiv.org/abs/1912.10246",1],[2,0.315,-0.5762,"Extension with log-canonical measures and an improvement to the plt extension of Demailly–Hacon–Păun",2021,"https://doi.org/10.1007/s00208-021-02152-3",2],[2,-0.2401,0.7279,"On the Algebraic Combinatorics of Injections and its Applications to Injection Codes",2020,"https://doi.org/10.1109/tit.2020.3005544",1],[2,-0.1035,-0.8053,"On blow up for the energy super critical defocusing nonlinear Schrödinger equations",2021,"https://doi.org/10.1007/s00222-021-01067-9",1],[2,-0.1151,0.7449,"Automorphisms of fusion systems of finite simple groups of Lie type and Automorphisms of fusion systems of sporadic simple groups",2019,"https://doi.org/10.1090/memo/1267",1],[2,0.0269,-0.665,"Adjoint Selmer groups of automorphic Galois representations of unitary type",2022,"https://doi.org/10.4171/jems/1228",2],[2,-0.6528,0.0828,"Optimization of mean-field spin glasses",2021,"https://doi.org/10.1214/21-aop1519",2],[2,0.6645,0.5376,"Proof of the exact overlaps conjecture for systems with algebraic contractions",2022,"https://doi.org/10.24033/asens.2518",1],[2,0.0097,0.8534,"On the Frobenius functor for symmetric tensor categories in positive characteristic",2020,"https://doi.org/10.1515/crelle-2020-0033",1],[2,-0.708,0.1183,"Towards Optimal Separations between Quantum and Randomized Query Complexities",2020,"https://doi.org/10.1109/focs46700.2020.00030",1],[2,-0.5124,0.3926,"Twisted Brin–Thompson groups",2022,"https://doi.org/10.2140/gt.2022.26.1189",2],[2,0.38,0.7771,"Ryser's Conjecture for t-intersecting hypergraphs",2020,"https://doi.org/10.1016/j.jcta.2020.105366",1],[2,0.6244,0.1281,"Deciding Parity Games in Quasi-polynomial Time",2020,"https://doi.org/10.1137/17m1145288",2],[2,-0.8444,0.1216,"Unbounded field operators in categorical extensions of conformal nets",2026,"https://doi.org/10.1007/s00222-026-01407-7",1],[2,0.2411,0.8225,"Homology pro stability for Tor-unital pro rings",2020,"https://doi.org/10.4310/hha.2020.v22.n1.a20",1],[2,-0.652,-0.4909,"Observations on the Separable Quotient Problem for Banach Spaces",2020,"https://doi.org/10.3390/axioms9010007",1],[2,-0.7896,-0.1738,"Corrigendum to “Trace spaces of counterexamples to Naimark's problem” [J. Funct. Anal. 275 (10) (2018) 2794–2816]",2020,"https://doi.org/10.1016/j.jfa.2020.108458",1],[2,0.1727,0.7688,"Proof of Nash-Williams' intersection conjecture for countable matroids",2021,"https://doi.org/10.1016/j.aim.2021.107608",1],[2,-0.3188,0.6502,"Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension",2023,"https://doi.org/10.1214/23-ejp1011",1],[2,-0.7216,0.2038,"Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions",2020,"https://doi.org/10.1007/s10955-020-02586-0",1],[2,0.7179,-0.3026,"Abhandlungen zur Theorie der konformen Abbildung",1920,"https://doi.org/10.1007/bf01199400",1],[2,0.4388,0.6375,"Periodicity and decidability of tilings of ℤ2",2020,"https://doi.org/10.1353/ajm.2020.0006",1],[2,-0.6288,0.4307,"Two-Dimensional Artin Groups with CAT(0) Dimension Three",2002,"https://doi.org/10.1023/a:1020962804856",1],[2,0.2716,-0.6614,"Duality for complexes of tori over a global field of positive characteristic",2020,"https://doi.org/10.5802/jep.129",1],[2,-0.227,-0.7891,"ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA",2020,"https://doi.org/10.1017/fms.2020.1",1],[2,0.6283,0.568,"Statistical properties for compositions of standard maps with increasing coefficient",2020,"https://doi.org/10.1017/etds.2019.115",1],[2,0.5916,0.2057,"Self-testing/correcting with applications to numerical problems",1993,"https://doi.org/10.1016/0022-0000(93)90044-w",2],[2,0.0383,-0.8199,"On the completed tensor product of two algebras on a field",2020,"https://arxiv.org/abs/2002.02727",1],[2,0.543,-0.5233,"Homological methods in semi-infinite contexts",2020,"https://arxiv.org/abs/2002.01395",1],[2,-0.4298,0.6652,"Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters",2022,"https://doi.org/10.1112/plms.12474",1],[2,0.4563,0.7093,"Erdős Distance Problem in $\\mathbb{R}^d$",2020,"https://arxiv.org/abs/2002.01248",1],[2,0.5026,-0.5413,"Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles",2021,"https://doi.org/10.1070/sm9387",1],[2,-0.7542,0.2675,"Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations",2022,"https://doi.org/10.4310/jdg/1669998184",1],[2,0.0079,-0.6443,"Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture",2020,"https://arxiv.org/abs/2002.04767",3],[2,0.0285,0.8534,"Homological dimension formulas for trivial extension algebras",2020,"https://doi.org/10.1016/j.jpaa.2020.106344",1],[2,-0.2994,0.7448,"Simple conformal loop ensembles on Liouville quantum gravity",2022,"https://doi.org/10.1214/21-aop1550",1],[2,0.5548,0.4912,"On ergodic flows with simple Lebesgue spectrum",2020,"https://doi.org/10.1070/sm8147",1],[2,-0.4795,0.5656,"THE HANF NUMBER FOR AMALGAMATION OF COLORING CLASSES",2016,"https://doi.org/10.1017/jsl.2015.48",1],[2,0.311,-0.5636,"Boundedness of log pluricanonical representations of log Calabi–Yau pairs in dimension 2",2021,"https://doi.org/10.2140/ant.2021.15.547",3],[2,-0.7196,0.2654,"Uniqueness and Nonuniqueness of Static Black Holes in Higher Dimensions",2002,"https://doi.org/10.1103/physrevlett.89.041101",1],[2,0.4464,0.4683,"Weakly mixing polygonal billiards",2026,"https://doi.org/10.4007/annals.2026.203.3.1",2],[2,0.7696,0.1248,"Pseudorandom Pseudo-distributions with Near-Optimal Error for Read-Once Branching Programs",2020,"https://doi.org/10.1137/18m1197734",1],[2,-0.7166,0.4408,"On topological full groups of $\\mathbb Z^d$-actions",2020,"https://doi.org/10.4171/ggd/534",1],[2,-0.3817,-0.7248,"Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory",2020,"https://doi.org/10.1017/9781108608954",1],[2,-0.0994,0.7612,"On the Translocation of Masses",2006,"https://doi.org/10.1007/s10958-006-0049-2",1],[2,-0.6432,0.0924,"The SK Model Is Infinite Step Replica Symmetry Breaking at Zero Temperature",2020,"https://doi.org/10.1002/cpa.21886",2],[2,-0.7723,0.1917,"Eventually Entanglement Breaking Markovian Dynamics: Structure and Characteristic Times",2020,"https://doi.org/10.1007/s00023-020-00906-4",1],[2,-0.3698,0.7538,"Absence of backward infinite paths for first-passage percolation in arbitrary dimension",2022,"https://doi.org/10.1214/22-aop1588",1],[2,0.7306,-0.3386,"A non-linear version of Bourgain’s projection theorem",2022,"https://doi.org/10.4171/jems/1283",1],[2,0.0067,-0.7881,"Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series",2019,"https://doi.org/10.4171/dm/719",1],[2,-0.692,-0.3518,"Surgery, polygons and SU(N)‐Floer homology",2020,"https://doi.org/10.1112/topo.12137",1],[2,-0.36,-0.6779,"A report on the hypersymplectic flow",2019,"https://doi.org/10.4310/pamq.2019.v15.n4.a7",1],[2,-0.2581,0.656,"Topological characterisations of Loewner traces",2022,"https://doi.org/10.1512/iumj.2022.71.8966",1],[2,0.116,-0.7498,"PERIODIC TWISTS OF -AUTOMORPHIC FORMS",2020,"https://doi.org/10.1017/fms.2020.7",1],[2,-0.8361,-0.1167,"The functional calculus approach to the spectral theorem",2020,"https://doi.org/10.1016/j.indag.2020.09.006",1],[2,0.2231,0.7933,"Probabilistic construction of deterministic algorithms: Approximating packing integer programs",1988,"https://doi.org/10.1016/0022-0000(88)90003-7",1],[2,-0.2453,0.6126,"A mating-of-trees approach for graph distances in random planar maps",2020,"https://doi.org/10.1007/s00440-020-00969-8",2],[2,-0.2446,0.6222,"Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion",2022,"https://doi.org/10.1007/s00220-022-04482-y",3],[2,0.0171,0.7974,"Monoidal abelian envelopes",2021,"https://doi.org/10.1112/s0010437x21007399",1],[2,0.0224,-0.7734,"On the conjecture of Birch and Swinnerton-Dyer",1977,"https://doi.org/10.1007/bf01402975",1],[2,-0.6696,-0.2052,"Some homological properties of ind-completions and highest weight categories",2020,"https://doi.org/10.1016/j.jalgebra.2020.05.039",1],[2,-0.1137,0.8581,"Uryson Width and Volume",2020,"https://doi.org/10.1007/s00039-020-00533-5",1],[2,0.1923,0.6854,"Explicit Expanders of Every Degree and Size",2021,"https://doi.org/10.1007/s00493-020-4429-x",1],[2,0.8225,0.0722,"Topology and Adjunction in Promise Constraint Satisfaction",2023,"https://doi.org/10.1137/20m1378223",1],[2,0.0114,0.8535,"New incompressible symmetric tensor categories in positive characteristic",2023,"https://doi.org/10.1215/00127094-2022-0030",1],[2,0.3023,0.09,"Cohomological Donaldson–Thomas theory of a quiver with potential and quantum enveloping algebras",2020,"https://doi.org/10.1007/s00222-020-00961-y",2],[2,-0.4985,0.5374,"Deep Weisfeiler Leman",2021,"https://doi.org/10.1137/1.9781611976465.154",1],[2,0.3607,0.6276,"Subgraphs of large connectivity and chromatic number",2022,"https://doi.org/10.1112/blms.12569",1],[2,-0.6543,-0.0486,"Concise lectures on selected topics of von Neumann algebras",2020,"https://arxiv.org/abs/2004.02383",2],[2,0.3083,-0.561,"Corrigendum to “On subadditivity of the logarithmic Kodaira dimension”",2020,"https://doi.org/10.2969/jmsj/82568256",3],[2,0.2351,-0.726,"Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals",2020,"https://doi.org/10.1016/j.jalgebra.2020.01.032",1],[2,0.7082,0.2622,"The Courtade-Kumar Most Informative Boolean Function Conjecture and a Symmetrized Li-Médard Conjecture are Equivalent",2020,"https://doi.org/10.1109/isit44484.2020.9174063",1],[2,-0.1685,-0.7417,"Fluctuation Theory in the Boltzmann–Grad Limit",2020,"https://doi.org/10.1007/s10955-020-02549-5",1],[2,0.7296,-0.2103,"A proof of the Erdös similarity conjecture",2020,"https://arxiv.org/abs/2001.02395",1],[2,-0.377,0.6041,"Singularity of sparse Bernoulli matrices",2022,"https://doi.org/10.1215/00127094-2021-0056",1],[2,0.2945,-0.6617,"On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result",2021,"https://doi.org/10.1016/j.jnt.2021.01.012",1],[2,-0.6387,0.1825,"Spectral Gaps and Incompressibility in a $${\\varvec{\\nu }}$$ = 1/3 Fractional Quantum Hall System",2021,"https://doi.org/10.1007/s00220-021-03997-0",2],[2,0.6339,-0.2979,"SHARP BOUNDS FOR MULTILINEAR CURVED KAKEYA, RESTRICTION AND OSCILLATORY INTEGRAL ESTIMATES AWAY FROM THE ENDPOINT",2020,"https://doi.org/10.1112/mtk.12029",1],[2,-0.1591,0.6411,"On Delocalization in the Six-Vertex Model",2021,"https://doi.org/10.1007/s00220-021-03949-8",3],[2,0.6169,-0.5173,"High rank torus actions on contact manifolds",2021,"https://doi.org/10.1007/s00029-021-00621-w",1],[2,-0.5748,0.4322,"Centrality of K2-functor revisited",2020,"https://doi.org/10.1016/j.jpaa.2020.106547",1],[2,0.0321,0.7139,"Infinite Integral Extensions and big Cohen--Macaulay Algebras",1992,"https://doi.org/10.2307/2946563",1],[2,0.3266,-0.5679,"On the Existence of Minimal Models for Log Canonical Pairs",2022,"https://doi.org/10.4171/prims/58-2-3",2],[2,0.3399,-0.5745,"A minimizing valuation is quasi-monomial",2020,"https://doi.org/10.4007/annals.2020.191.3.6",5],[2,-0.0373,0.7611,"Graphical complexes of groups",2023,"https://doi.org/10.1515/jgth-2021-0118",1],[2,-0.1817,0.6118,"Conformal Invariance of CLEΚ on the Riemann Sphere for Κ ∈(4,8)",2019,"https://doi.org/10.1093/imrn/rnz328",4],[2,-0.7193,-0.0357,"Mixed determinants and the Kadison–Singer problem",2020,"https://doi.org/10.1007/s00208-020-01986-7",1],[2,-0.6383,-0.5207,"Foliated corona decompositions",2022,"https://doi.org/10.4310/acta.2022.v229.n1.a2",1],[2,0.7046,-0.0792,"The L-Brunn-Minkowski inequality for p < 1",2020,"https://doi.org/10.1016/j.aim.2020.107166",1],[2,-0.1188,0.7939,"Representations of Reductive Groups Over Finite Fields",1976,"https://doi.org/10.2307/1971021",1],[2,0.2895,-0.7682,"Stable reduction and uniformization of abelian varieties II",1984,"https://doi.org/10.1007/bf01388596",1],[2,0.4353,-0.4947,"Birational geometry of smooth families of varieties admitting good minimal models",2023,"https://doi.org/10.1007/s40879-023-00681-6",2],[2,0.2285,0.7607,"High dimensional expanders and coset geometries",2023,"https://doi.org/10.1016/j.ejc.2023.103696",1],[2,0.1869,0.7073,"Towards a Proof of the Fourier-Entropy Conjecture?",2020,"https://doi.org/10.1007/s00039-020-00544-2",1],[2,-0.0959,-0.7716,"Almost sure global well-posedness for the energy supercritical Schrödinger equations",2021,"https://doi.org/10.1016/j.matpur.2021.08.002",1],[2,0.6182,-0.4349,"BFN Springer Theory",2023,"https://doi.org/10.1007/s00220-023-04735-4",1],[2,-0.5785,-0.4891,"Compact reduction in Lipschitz-free spaces",2021,"https://doi.org/10.4064/sm200925-18-1",1],[2,-0.6771,-0.356,"A geometric approach to Quillen’s conjecture",2021,"https://doi.org/10.1515/jgth-2021-0033",1],[2,0.0129,-0.6547,"Generalizing the Birch–Stephens theorem I. Modular curves",1996,"https://doi.org/10.1007/pl00004518",2],[2,0.757,0.215,"On the Severi problem in arbitrary characteristic",2022,"https://doi.org/10.1007/s10240-022-00135-x",1],[2,-0.2473,0.7302,"Minimal length in an orbit closure as a semiclassical limit",2020,"https://arxiv.org/abs/2004.14872",1],[2,-0.7365,0.1394,"Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer",1997,"https://doi.org/10.1137/s0097539795293172",1],[2,-0.2977,0.7453,"A simple and elementary proof of Whitney's unique embedding theorem",2021,"https://doi.org/10.26493/1855-3974.2334.331",1],[2,0.2854,-0.7237,"Categorical traces and a relative Lefschetz–Verdier formula",2022,"https://doi.org/10.1017/fms.2022.2",1],[2,0.6994,0.3214,"Edit Distance in Near-Linear Time: It’s a Constant Factor",2020,"https://doi.org/10.1109/focs46700.2020.00096",1],[2,-0.1926,-0.733,"On the 3D Relativistic Vlasov-Maxwell System with Large Maxwell Field",2021,"https://doi.org/10.1007/s00220-021-04001-5",1],[2,-0.2372,-0.813,"Calderón problem for Yang–Mills connections",2020,"https://doi.org/10.4171/jst/302",1],[2,0.1223,-0.7863,"Formule des Traces et Fonctorialité: le Début d'un Programme",2010,"https://arxiv.org/abs/1003.4578",1],[2,-0.534,0.3705,"The dynamics and geometry of free group endomorphisms",2021,"https://doi.org/10.1016/j.aim.2021.107714",2],[2,0.6756,-0.5512,"Fano manifolds of coindex three admitting nef tangent bundle",2020,"https://doi.org/10.1007/s10711-020-00538-2",1],[2,-0.6486,0.1482,"Depth-2 QAC circuits cannot simulate quantum parity",2020,"https://arxiv.org/abs/2005.12169",2],[2,0.7868,-0.0652,"New bounds on the density of lattice coverings",2021,"https://doi.org/10.1090/jams/984",1],[2,0.4788,0.3782,"A tight bound on approximating arbitrary metrics by tree metrics",2004,"https://doi.org/10.1016/j.jcss.2004.04.011",2],[2,0.5347,-0.5169,"Fundamental local equivalences in quantum geometric Langlands",2021,"https://doi.org/10.1112/s0010437x2100765x",1],[2,0.5941,-0.6251,"Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains",2022,"https://doi.org/10.4171/dm/886",1],[2,0.4973,-0.6326,"Stability conditions on product varieties",2020,"https://doi.org/10.1515/crelle-2020-0010",1],[2,0.2761,0.71,"Chromatic symmetric functions from the modular law",2021,"https://doi.org/10.1016/j.jcta.2021.105407",1],[2,0.4329,0.6637,"The polynomial method over varieties",2020,"https://doi.org/10.1007/s00222-020-00975-6",1],[2,0.4362,-0.6839,"On Fujita's freeness conjecture in dimension 5",2020,"https://doi.org/10.1016/j.aim.2020.107210",1],[2,0.7089,-0.2833,"Variation of the Dyadic Maximal Function",2022,"https://doi.org/10.1093/imrn/rnac027",1],[2,-0.2445,0.595,"Energy Correlations of Non-Integrable Ising Models: The Scaling Limit in the Cylinder",2022,"https://doi.org/10.1007/s00220-022-04481-z",3],[2,0.2101,0.6294,"Improved bounds for the sunflower lemma",2021,"https://doi.org/10.4007/annals.2021.194.3.5",2],[2,-0.7384,-0.0242,"Higher Kazhdan projections, $\\ell_2$-Betti numbers and Baum–Connes conjectures",2023,"https://doi.org/10.4171/jncg/529",1],[2,0.443,0.7061,"An Improved Constant Factor for the Unit Distance Problem",2022,"https://doi.org/10.1556/012.2022.01517",1],[2,0.6766,-0.5384,"Rational cubic fourfolds in Hassett divisors",2020,"https://doi.org/10.5802/crmath.4",1],[2,-0.7123,-0.133,"Lattice isomorphisms between projection lattices of von Neumann algebras",2020,"https://doi.org/10.1017/fms.2020.53",1],[2,-0.7275,-0.3639,"Purely cosmetic surgeries and pretzel knots",2021,"https://doi.org/10.2140/pjm.2021.313.195",1],[2,0.4765,-0.5916,"Abundance for 3-folds with non-trivial Albanese maps in positive characteristic",2020,"https://doi.org/10.4171/jems/977",1],[2,0.8062,0.0418,"Playing unique games on certified small-set expanders",2021,"https://doi.org/10.1145/3406325.3451099",1],[2,0.6565,0.092,"Lorentzian polynomials",2020,"https://doi.org/10.4007/annals.2020.192.3.4",4],[2,-0.5905,0.4074,"Parabolic subgroups in FC-type Artin groups",2020,"https://doi.org/10.1016/j.jpaa.2020.106468",1],[2,0.006,0.6598,"Sur les sous-groupes arithmétiques des groupes semi-simples déployés",1969,"https://doi.org/10.24033/asens.1174",2],[2,-0.6159,0.4319,"Spherical Categories",1999,"https://doi.org/10.1006/aima.1998.1800",1],[2,0.5867,-0.3081,"On the packing dimension of Furstenberg sets",2022,"https://doi.org/10.1007/s11854-022-0203-x",2],[2,-0.7096,-0.358,"Quaternionic monopoles",1996,"https://doi.org/10.1007/bf02099718",1],[2,-0.3014,0.7479,"CLE PERCOLATIONS",2017,"https://doi.org/10.1017/fmp.2017.5",1],[2,-0.1263,0.7907,"Arbitrarily large Morita Frobenius numbers",2022,"https://doi.org/10.2140/ant.2022.16.1889",1],[2,0.6488,-0.0432,"Spectrahedral Shadows",2018,"https://doi.org/10.1137/17m1118981",3],[2,0.6722,-0.4905,"Curves of maximal moduli on K3 surfaces",2022,"https://doi.org/10.1017/fms.2022.24",1],[2,0.4801,0.6313,"Breaking the logarithmic barrier in Roth's theorem on arithmetic progressions",2020,"https://arxiv.org/abs/2007.03528",1],[2,-0.7336,-0.3459,"TOPOLOGICAL 4-MANIFOLDS WITH 4-DIMENSIONAL FUNDAMENTAL GROUP",2021,"https://doi.org/10.1017/s0017089521000215",1],[2,-0.7646,0.1703,"Information-theoretic aspects of the generalized amplitude damping channel",2019,"https://doi.org/10.1103/physreva.102.012401",1],[2,-0.8484,0.1536,"Quantum Lower Bounds by Quantum Arguments",2002,"https://doi.org/10.1006/jcss.2002.1826",1],[2,-0.4798,-0.6986,"Chern–Ricci flows on noncompact complex manifolds",2020,"https://doi.org/10.4310/jdg/1594260018",1],[2,0.4187,-0.6508,"Seshadri constants and Okounkov bodies revisited",2020,"https://doi.org/10.1016/j.jpaa.2020.106493",1],[2,0.455,-0.4784,"Special termination for log canonical pairs",2023,"https://doi.org/10.4310/ajm.2023.v27.n3.a5",2],[2,0.7669,0.3364,"A remark on the existence of finite graphs",1955,"https://doi.org/10.21136/cpm.1955.108220",1],[2,0.5391,0.5646,"Twisted cohomological equations for translation flows",2021,"https://doi.org/10.1017/etds.2021.120",1],[2,-0.4042,-0.6853,"A Kobayashi and Bergman complete domain without bounded representations",2020,"https://doi.org/10.1007/s10231-020-00989-0",1],[2,-0.362,-0.5304,"A Lojasiewicz inequality for ALE metrics",2023,"https://doi.org/10.2422/2036-2145.202309_029",2],[2,0.8229,0.1609,"Polyhedral Value Iteration for Discounted Games and Energy Games",2021,"https://doi.org/10.1137/1.9781611976465.37",1],[2,-0.1851,0.4392,"A spectral condition for spectral gap: fast mixing in high-temperature Ising models",2021,"https://doi.org/10.1007/s00440-021-01085-x",8],[2,-0.5099,-0.0133,"The singular structure and regularity of stationary varifolds",2020,"https://doi.org/10.4171/jems/987",3],[2,0.6318,-0.4601,"Hyperbolicity and specialness of symmetric powers",2022,"https://doi.org/10.5802/jep.185",1],[2,0.0578,-0.7389,"An Addendum to the elliptic torsion anomalous conjecture in codimension 2",2019,"https://doi.org/10.4171/rsmup/23",1],[2,-0.6344,-0.2191,"On conjectures of Hovey–Strickland and Chai",2022,"https://doi.org/10.1007/s00029-022-00766-2",2],[2,-0.1532,0.6189,"Planar random-cluster model: fractal properties of the critical phase",2021,"https://doi.org/10.1007/s00440-021-01060-6",4],[2,-0.4903,-0.5474,"Sweepouts of closed Riemannian manifolds",2021,"https://doi.org/10.1007/s00039-021-00575-3",1],[2,0.264,0.668,"Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry",2014,"https://doi.org/10.1007/978-3-319-06514-4_6",1],[2,-0.4899,0.5101,"The Axiom of Choice and the Partition Principle from Dialectica Categories",2020,"https://doi.org/10.1093/jigpal/jzaa023",1],[2,0.4593,0.4363,"Pointwise ergodic theorems for non-conventional bilinear polynomial averages",2022,"https://doi.org/10.4007/annals.2022.195.3.4",2],[2,0.0459,-0.6534,"Unlikely Intersections with ExCM curves in A2",2021,"https://doi.org/10.2422/2036-2145.202006_014",2],[2,0.0074,-0.6526,"On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes",2021,"https://doi.org/10.1007/s00222-021-01072-y",3],[2,-0.7473,0.0313,"Nuclear dimension and $$\\mathcal Z$$ Z -stability",2015,"https://doi.org/10.1007/s00222-015-0580-1",1],[2,0.459,0.4649,"The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables",2022,"https://doi.org/10.4007/annals.2022.196.1.2",2],[2,0.6406,-0.1391,"A theorem on transfer for convex bodies",1939,"https://doi.org/10.21136/cpmf.1939.109441",3],[2,-0.7989,0.2842,"Regularity of almost-minimizers of Hölder-coefficient surface energies",2022,"https://doi.org/10.3934/dcds.2022015",1],[2,-0.7982,0.1366,"k-forrelation optimally separates Quantum and classical query complexity",2021,"https://doi.org/10.1145/3406325.3451040",1],[2,0.4501,-0.4704,"Equidistribution for sequences of line bundles on normal Kähler spaces",2017,"https://doi.org/10.2140/gt.2017.21.923",2],[2,0.3782,0.6814,"A Finite Graph Approach to the Probabilistic Hadwiger-Nelson Problem",2020,"https://arxiv.org/abs/2008.07987",1],[2,-0.223,0.1644,"𝐾-theory and topological cyclic homology of henselian pairs",2020,"https://doi.org/10.1090/jams/961",2],[2,-0.8228,-0.0016,"The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension",2020,"https://doi.org/10.1016/j.geomphys.2020.103861",1],[2,-0.7154,0.5038,"The Structure of Groups with a Quasiconvex Hierarchy",2021,"https://doi.org/10.1515/9780691213507",1],[2,0.4525,-0.5949,"The virtual K -theory of Quot schemes of surfaces",2021,"https://doi.org/10.1016/j.geomphys.2021.104154",1],[2,-0.4697,0.7208,"Power-law bounds for critical long-range percolation below the upper-critical dimension",2021,"https://doi.org/10.1007/s00440-021-01043-7",1],[2,-0.7533,-0.1009,"Cohomology of operator algebras: I. Type I von Neumann algebras",1971,"https://doi.org/10.1007/bf02392032",1],[2,-0.1662,-0.7653,"Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations",2023,"https://doi.org/10.4007/annals.2023.198.3.3",1],[2,-0.7389,0.2969,"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons",2021,"https://doi.org/10.1016/j.jfa.2021.109096",1],[2,0.4767,-0.6843,"Interpolation in the Automorphism Group of a Polynomial Ring",2020,"https://doi.org/10.1142/s1005386720000486",1],[2,-0.2982,-0.6877,"Loop coproduct in Morse and Floer homology",2020,"https://doi.org/10.1007/s11784-023-01061-z",1],[2,0.5248,-0.6615,"Desingularization: Invariants and Strategy",2020,"https://doi.org/10.1007/978-3-030-52640-5",1],[2,0.0565,-0.727,"Lecture Notes on Quadratic Forms and their Arithmetic",2020,"https://doi.org/10.48550/arxiv.2008.12847",1],[2,-0.6891,0.2495,"On the W 2 p Estimate for Oblique Derivative Problem in Lipschitz Domains",2020,"https://doi.org/10.1093/imrn/rnaa227",1],[2,-0.6408,0.1445,"Bounds on the QAC$^0$ Complexity of Approximating Parity",2020,"https://doi.org/10.4230/lipics.itcs.2021.32",2],[2,0.7756,0.106,"An approximation algorithm for counting contingency tables",2010,"https://doi.org/10.1002/rsa.20301",1],[2,0.2342,0.7671,"Homological connectivity of random k ‐dimensional complexes",2008,"https://doi.org/10.1002/rsa.20238",1],[2,0.6801,-0.3298,"A sharp square function estimate for the cone in $\\mathbb{R}^3$",2020,"https://doi.org/10.4007/annals.2020.192.2.6",1],[2,0.5879,-0.2716,"Orthogonal projections of discretized sets",2020,"https://doi.org/10.4171/jfg/92",2],[2,0.63,-0.5536,"The integral monodromy of isolated quasihomogeneous singularities",2022,"https://doi.org/10.2140/ant.2022.16.955",1],[2,-0.4353,-0.4843,"No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds",2020,"https://arxiv.org/abs/2009.05332",2],[2,0.1522,0.6837,"Intersection of a partitional and a general infinite matroid",2021,"https://doi.org/10.1016/j.disc.2021.112514",1],[2,-0.318,-0.5441,"On the analyticity of solutions to non-linear elliptic partial differential equations",2020,"https://arxiv.org/abs/2009.08762",2],[2,-0.6871,0.4671,"The seven-strand braid group is CAT(0)",2022,"https://doi.org/10.1007/s00229-022-01387-x",1],[2,-0.2326,0.8192,"On Boundary Correlations in Planar Ashkin–Teller Models",2020,"https://doi.org/10.1093/imrn/rnaa380",1],[2,-0.6552,-0.0048,"Radius of comparison and mean cohomological independence dimension",2022,"https://doi.org/10.1016/j.aim.2022.108563",2],[2,-0.7157,-0.2673,"Odd primary analogs of real orientations",2023,"https://doi.org/10.2140/gt.2023.27.87",1],[2,0.3589,-0.6066,"Blowups with log canonical singularities",2021,"https://doi.org/10.2140/gt.2021.25.2145",1],[2,-0.595,-0.5152,"Impossibility of almost extension",2021,"https://doi.org/10.1016/j.aim.2021.107761",1],[2,-0.8595,-0.0355,"An identification of the Baum-Connes and Davis-Lück assembly maps",2020,"https://doi.org/10.17879/06089641898",1],[2,0.2321,-0.6027,"The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support",2020,"https://arxiv.org/abs/2010.01906",5],[2,0.8688,0.0542,"On the NP-Hardness Approximation Curve for Max-2Lin(2)",2024,"https://doi.org/10.4230/lipics.approx/random.2024.11",1],[2,0.0293,-0.7203,"Special values ofL-functions of one-motives over function fields",2022,"https://doi.org/10.1515/crelle-2022-0081",1],[2,0.6486,0.5296,"Self-similar measures associated to a homogeneous system of three maps",2024,"https://doi.org/10.1215/00127094-2023-0019",1],[2,0.6531,0.1262,"A Refined Laser Method and Faster Matrix Multiplication",2024,"https://doi.org/10.46298/theoretics.24.21",3],[2,0.7334,-0.2979,"Endpoint Sobolev bounds for fractional Hardy–Littlewood maximal operators",2022,"https://doi.org/10.1007/s00209-022-02969-x",1],[2,0.644,0.4206,"Structured Logconcave Sampling with a Restricted Gaussian Oracle",2020,"https://arxiv.org/abs/2010.03106",1],[2,0.6836,-0.2434,"HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL",2017,"https://doi.org/10.1112/s0025579316000280",1],[2,-0.1816,-0.8312,"Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan",2021,"https://doi.org/10.1016/j.matpur.2021.05.001",1],[2,0.215,-0.5989,"Hodge classes on abelian varieties",2020,"https://arxiv.org/abs/2010.08857",2],[2,0.0078,-0.7329,"Abelian Varieties, Quaternion Trick and Endomorphisms",2023,"https://doi.org/10.1007/978-3-031-17859-7_42",1],[2,-0.631,-0.1929,"Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy",2022,"https://doi.org/10.1007/s00222-022-01120-1",4],[2,0.6451,0.1581,"Improving Schroeppel and Shamir’s algorithm for subset sum via orthogonal vectors",2021,"https://doi.org/10.1145/3406325.3451024",2],[2,0.6224,0.577,"Strongly mixing systems are almost strongly mixing of all orders",2023,"https://doi.org/10.1017/etds.2023.63",1],[2,-0.4445,0.7295,"Singularity of discrete random matrices",2021,"https://doi.org/10.1007/s00039-021-00580-6",1],[2,0.3994,0.6972,"Further Progress towards the List and Odd Versions of Hadwiger's Conjecture",2020,"https://arxiv.org/abs/2010.05999",1],[2,0.841,0.1583,"A Technique to Speed up Symmetric Attractor-Based Algorithms for Parity Games",2020,"https://doi.org/10.4230/lipics.fsttcs.2022.44",1],[2,-0.3245,0.5698,"Free energy upper bound for mean-field vector spin glasses",2023,"https://doi.org/10.1214/22-aihp1292",3],[2,-0.584,0.6483,"Algorithmic Information Theory",1987,"https://doi.org/10.1017/cbo9780511608858",1],[2,0.6215,-0.5827,"Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type",2022,"https://doi.org/10.1007/s00209-021-02966-6",1],[2,0.3875,0.7113,"The chromatic number of the plane is at least 5 -- a human-verifiable proof",2020,"https://arxiv.org/abs/2010.12661",1],[2,-0.0173,0.103,"Degree vs. approximate degree and Quantum implications of Huang’s sensitivity theorem",2021,"https://doi.org/10.1145/3406325.3451047",2],[2,-0.2895,0.7182,"SLE loop measures",2020,"https://doi.org/10.1007/s00440-020-01011-7",1],[2,-0.6009,0.2137,"The isoperimetric inequality for a minimal submanifold in Euclidean space",2020,"https://doi.org/10.1090/jams/969",3],[2,-0.4446,0.4645,"Canonization for Bounded and Dihedral Color Classes in Choiceless Polynomial Time",2020,"https://doi.org/10.4230/lipics.csl.2021.31",2],[2,0.379,0.684,"Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane",2020,"https://arxiv.org/abs/2010.12665",1],[2,-0.4268,-0.7351,"Entropy rigidity for 3D conservative Anosov flows and dispersing billiards",2020,"https://doi.org/10.1007/s00039-020-00547-z",1],[2,-0.5005,0.5119,"APPROACHING A BRISTOL MODEL",2025,"https://doi.org/10.1017/bsl.2025.10126",1],[2,-0.7022,0.287,"Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction",2021,"https://doi.org/10.1137/20m1376820",1],[2,-0.4302,0.7118,"On the smallest singular value of symmetric random matrices",2021,"https://doi.org/10.1017/s0963548321000511",1],[2,-0.4143,0.6864,"Singularity of random symmetric matrices revisited",2021,"https://doi.org/10.1090/proc/15807",1],[2,0.2103,0.6247,"A Constant-factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem",2020,"https://doi.org/10.1145/3424306",2],[2,0.5921,-0.5613,"Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations",2022,"https://doi.org/10.1016/j.aim.2022.108479",1],[2,0.7223,0.2071,"A Lower Bound for the Determinantal Complexity of a Hypersurface",2015,"https://doi.org/10.1007/s10208-015-9300-x",1],[2,-0.2458,0.5984,"Tightness of Liouville first passage percolation for γ ∈ ( 0 , 2 )",2020,"https://doi.org/10.1007/s10240-020-00121-1",3],[2,-0.735,-0.2259,"Comparing Dualities in the $K(n)$-local Category",2020,"https://arxiv.org/abs/2011.02011",1],[2,-0.6811,0.3121,"Computational complexity in electronic structure",2012,"https://doi.org/10.1039/c2cp42695a",1],[2,-0.3149,0.579,"The free energy in a multi-species Sherrington–Kirkpatrick model",2015,"https://doi.org/10.1214/14-aop967",3],[2,-0.7815,-0.2415,"Derived induction and restriction theory",2019,"https://doi.org/10.2140/gt.2019.23.541",1],[2,0.5362,-0.6496,"A brief proof of Bochner's tube theorem and a generalized tube",2020,"https://arxiv.org/abs/2007.04597",1],[2,-0.2318,0.7637,"Crossing probabilities for planar percolation",2023,"https://doi.org/10.1215/00127094-2022-0015",1],[2,-0.3805,0.6807,"The simplest model of jamming",2016,"https://doi.org/10.1088/1751-8113/49/14/145001",1],[2,0.8266,-0.1011,"The sphere packing problem in dimension $24$",2017,"https://doi.org/10.4007/annals.2017.185.3.8",1],[2,0.1233,0.8254,"Proving the conjecture of O’Donnell in certain cases and disproving its general validity",2020,"https://doi.org/10.1016/j.dam.2020.11.005",1],[2,-0.5938,0.2365,"The energy of dilute Bose gases",2020,"https://doi.org/10.4007/annals.2020.192.3.5",2],[2,-0.0424,0.656,"The Eisenbud-Green-Harris conjecture for fast-growing degree sequences",2023,"https://doi.org/10.2422/2036-2145.202203_025",2],[2,0.5546,0.4504,"L q dimensions and projections of random measures",2016,"https://doi.org/10.1088/0951-7715/29/9/2609",1],[2,0.3143,0.6711,"Lipschitz percolation",2010,"https://doi.org/10.1214/ecp.v15-1521",1],[2,-0.6262,0.4406,"On the geometry of burnside quotients of torsion free hyperbolic groups",2014,"https://doi.org/10.1142/s0218196714500143",1],[2,0.0156,-0.6576,"Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert",1986,"https://doi.org/10.24033/asens.1512",5],[2,0.4289,-0.4846,"New outlook on the Minimal Model Program, II",2012,"https://doi.org/10.1007/s00208-012-0858-1",3],[2,-0.63,0.1485,"Quantum Circuits with Unbounded Fan-out",2005,"https://doi.org/10.4086/toc.2005.v001a005",2],[2,-0.7614,-0.0213,"On a question of Atiyah",2000,"https://doi.org/10.1016/s0764-4442(00)01702-x",1],[2,0.5362,-0.1886,"New upper bounds on sphere packings I",2003,"https://doi.org/10.4007/annals.2003.157.689",4],[2,0.6225,-0.2141,"Trilinear smoothing inequalities and a variant of the triangular Hilbert transform",2021,"https://doi.org/10.1016/j.aim.2021.107863",2],[2,-0.7537,0.1835,"The PPT$$^2$$ Conjecture Holds for All Choi-Type Maps",2022,"https://doi.org/10.1007/s00023-022-01166-0",1],[2,0.6533,-0.4649,"Shifted Quantum Affine Algebras: Integral Forms in Type A",2019,"https://doi.org/10.1007/s40598-019-00118-7",1],[2,0.6167,-0.216,"DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION",2015,"https://doi.org/10.1017/fms.2015.25",3],[2,0.426,-0.5985,"A note on a question of Markman",2021,"https://doi.org/10.1016/j.jpaa.2021.106673",1],[2,-0.1535,0.6316,"Planar random-cluster model: scaling relations",2022,"https://doi.org/10.1017/fmp.2022.16",2],[2,0.2799,0.7031,"Chromatic symmetric functions of Dyck paths and q -rook theory",2022,"https://doi.org/10.1016/j.ejc.2022.103595",1],[2,-0.7242,-0.2482,"Redshift and multiplication for truncated Brown--Peterson spectra",2022,"https://doi.org/10.4007/annals.2022.196.3.6",1],[2,0.3093,-0.711,"Extremal problems for GCDs",2021,"https://doi.org/10.1017/s0963548321000092",1],[2,0.6161,-0.4305,"Kobayashi hyperbolicity, negativity of the curvature and positivity of the canonical bundle",2020,"https://arxiv.org/abs/2011.11379",1],[2,-0.2675,-0.5817,"On variants of Arnold conjecture",2020,"https://doi.org/10.5817/am2020-5-277",5],[2,0.7905,0.293,"Boolean Functions: Noise Stability, Non-Interactive Correlation Distillation, and Mutual Information",2020,"https://doi.org/10.1109/tit.2020.3041028",1],[2,0.2976,0.5721,"A new upper bound for sets with no square differences",2022,"https://doi.org/10.1112/s0010437x22007679",3],[2,0.3556,-0.6519,"Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties",2022,"https://doi.org/10.1007/s00222-022-01096-y",1],[2,-0.4485,0.6392,"On the connection between transient and ballistic behaviours for RWRE",2020,"https://arxiv.org/abs/2006.00570",1],[2,0.6364,0.4189,"Score-Based Generative Modeling through Stochastic Differential Equations",2020,"https://arxiv.org/abs/2011.13456",1],[2,-0.7259,-0.212,"The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum",2022,"https://doi.org/10.1090/tran/8822",1],[2,0.2565,-0.6713,"An elementary approach to Stix's proof of the real section conjecture",2020,"https://arxiv.org/abs/2012.06278",1],[2,0.6159,0.247,"Polynomial-Time Trace Reconstruction in the Low Deletion Rate Regime",2020,"https://doi.org/10.4230/lipics.itcs.2021.20",2],[2,0.6345,0.0791,"Random generation of combinatorial structures from a uniform distribution",1986,"https://doi.org/10.1016/0304-3975(86)90174-x",3],[2,-0.2304,-0.0745,"Volume and macroscopic scalar curvature",2021,"https://doi.org/10.1007/s00039-021-00588-y",3],[2,0.3517,-0.7855,"Sums of four and more unit fractions and approximate parametrizations",2021,"https://doi.org/10.1112/blms.12452",1],[2,0.4057,-0.4984,"Minimal model program for log canonical threefolds in positive characteristic",2020,"https://doi.org/10.4310/mrl.2020.v27.n4.a3",2],[2,0.2832,-0.7504,"Duality for automorphic sheaves with nilpotent singular support",2020,"https://arxiv.org/abs/2012.07665",1],[2,-0.633,0.4366,"Parabolic subgroups of large-type Artin groups",2022,"https://doi.org/10.1017/s0305004122000342",1],[2,0.1263,-0.7624,"Computing with Hecke Grössencharacters",2011,"https://doi.org/10.5802/pmb.a-138",1],[2,0.4029,-0.5151,"Log Iitaka conjecture for abundant log canonical fibrations",2020,"https://doi.org/10.3792/pjaa.96.017",4],[2,0.6777,0.3138,"Towards PTAS for Precedence Constrained Scheduling via Combinatorial Algorithms",2021,"https://doi.org/10.1137/1.9781611976465.178",1],[2,-0.1643,0.6368,"On the Six-Vertex Model’s Free Energy",2022,"https://doi.org/10.1007/s00220-022-04459-x",3],[2,-0.7491,0.2682,"Removable singularity of positive mass theorem with continuous metrics",2022,"https://doi.org/10.1007/s00209-022-03081-w",1],[2,-0.164,0.6405,"Rotational invariance in critical planar lattice models",2020,"https://arxiv.org/abs/2012.11672",4],[2,0.1358,-0.6413,"An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions",2023,"https://doi.org/10.1007/s00222-023-01232-2",2],[2,0.7478,0.2835,"Polynomial-time trace reconstruction in the smoothed complexity model",2021,"https://doi.org/10.1137/1.9781611976465.5",1],[2,0.2983,-0.7655,"Smoothness of cohomology sheaves of stacks of shtukas",2020,"https://arxiv.org/abs/2012.12833",1],[2,-0.4343,-0.4868,"Waist Inequality for 3-Manifolds with Positive Scalar Curvature",2023,"https://doi.org/10.1142/9789811273230_0022",3],[2,-0.2098,0.781,"Delocalization of the height function of the six-vertex model",2024,"https://doi.org/10.4171/jems/1436",1],[2,-0.8299,0.2123,"Capacity of trace decreasing quantum operations and superadditivity of coherent information for a generalized erasure channel",2021,"https://doi.org/10.1088/1751-8121/abfd61",1],[2,0.6498,0.531,"Iterated function systems with super-exponentially close cylinders",2021,"https://doi.org/10.1016/j.aim.2020.107548",1],[2,-0.2682,0.8201,"Delocalisation and absolute-value-FKG in the solid-on-solid model",2023,"https://doi.org/10.1007/s00440-023-01202-y",1],[2,0.1153,-0.7235,"The large sieve with power moduli in imaginary quadratic number fields",2022,"https://doi.org/10.1142/s1793042122500877",1],[2,0.7814,-0.3511,"Weighted restriction estimates and application to Falconer distance set problem",2021,"https://doi.org/10.1353/ajm.2021.0005",1],[2,0.2003,-0.773,"Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers",2021,"https://doi.org/10.1016/j.jnt.2020.12.013",1],[2,-0.7302,-0.3853,"Eliminating components in Quillen's conjecture",2021,"https://doi.org/10.1016/j.jalgebra.2021.05.011",1],[2,0.2902,-0.7113,"Strong Approximation for a Toric Variety",2021,"https://doi.org/10.1007/s10114-021-8193-7",1],[2,0.0487,-0.842,"Algebraic monodromy groups of l-adic representations of Gal(ℚ∕ℚ)",2019,"https://doi.org/10.2140/ant.2019.13.1353",1],[2,0.4087,-0.6755,"Algebraicity of the metric tangent cones and equivariant K-stability",2021,"https://doi.org/10.1090/jams/974",1],[2,-0.7436,-0.3332,"Higher Index Theory",2020,"https://doi.org/10.1017/9781108867351",1],[2,-0.6113,0.2494,"A new second-order upper bound for the ground state energy of dilute Bose gases",2021,"https://doi.org/10.1017/fms.2021.66",2],[2,-0.4309,-0.4859,"Q-valued functions revisited",2010,"https://doi.org/10.1090/s0065-9266-10-00607-1",2],[2,-0.4046,0.6804,"TAP free energy, spin glasses and variational inference",2021,"https://doi.org/10.1214/20-aop1443",1],[2,-0.7018,-0.2183,"Picard groups of higher real -theory spectra at height",2017,"https://doi.org/10.1112/s0010437x17007242",1],[2,0.5371,-0.5225,"Sheaves of categories and the notion of 1-affineness",2013,"https://arxiv.org/abs/1306.4304",1],[2,-0.8242,-0.2426,"The six functors for Zariski-constructible sheaves in rigid geometry",2022,"https://doi.org/10.1112/s0010437x22007291",1],[2,-0.7786,0.1971,"A $${{\\mathbb {Z}}}_2$$-index of Symmetry Protected Topological Phases with Reflection Symmetry for Quantum Spin Chains",2021,"https://doi.org/10.1007/s00220-021-04057-3",1],[2,-0.4146,0.7037,"Cutoff for non-negatively curved Markov chains",2023,"https://doi.org/10.4171/jems/1348",1],[2,0.4476,-0.7441,"Altered local uniformization of rigid-analytic spaces",2024,"https://doi.org/10.1007/s11856-024-2628-7",1],[2,-0.5882,-0.5061,"Symmetries, Graph Properties, and Quantum Speedups",2024,"https://doi.org/10.1137/23m1573975",1],[2,-0.3559,0.7224,"Geodesic length and shifted weights in first-passage percolation",2023,"https://doi.org/10.1090/cams/18",1],[2,-0.798,0.3567,"Existence of a supersymmetric massless ground state of the SU(N) matrix model globally on its valleys",2021,"https://doi.org/10.1007/jhep05(2021)281",1],[2,0.4933,-0.5354,"A note on Demailly’s approach towards a conjecture of Griffiths",2021,"https://doi.org/10.5802/crmath.192",1],[2,0.4977,0.6804,"New lower bounds for van der Waerden numbers",2022,"https://doi.org/10.1017/fmp.2022.12",1],[2,-0.3783,0.6764,"The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space",2021,"https://doi.org/10.4153/s0008414x21000031",1],[2,0.2132,0.7155,"Coboundary and Cosystolic Expansion from Strong Symmetry",2019,"https://doi.org/10.4230/lipics.icalp.2021.84",1],[2,0.0791,-0.6413,"Counting zeros of Dedekind zeta functions",2021,"https://doi.org/10.1090/mcom/3665",2],[2,0.8091,0.3228,"Bipartite Matching in Nearly-linear Time on Moderately Dense Graphs",2020,"https://doi.org/10.1109/focs46700.2020.00090",1],[2,-0.1277,-0.6488,"Smooth homeomorphic approximation of piecewise affine homeomorphisms",2021,"https://doi.org/10.4171/rlm/946",2],[2,-0.0481,0.6573,"Saxl Conjecture for triple hooks",2021,"https://doi.org/10.1016/j.disc.2021.112340",2],[2,0.6488,-0.0903,"Higher Fourier interpolation on the plane",2021,"https://arxiv.org/abs/2102.08753",3],[2,-0.6733,0.1923,"Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems",2024,"https://doi.org/10.1007/s11005-023-01767-8",1],[2,0.2374,-0.5959,"Automorphic functions as the trace of Frobenius",2021,"https://arxiv.org/abs/2102.07906",2],[2,-0.6451,0.0193,"Uniform Property Γ",2020,"https://doi.org/10.1093/imrn/rnaa282",2],[2,-0.1273,-0.0508,"The Decision Problem for Exponential Diophantine Equations",1961,"https://doi.org/10.2307/1970289",2],[2,-0.0251,0.8239,"A counterexample to the unit conjecture for group rings",2021,"https://doi.org/10.4007/annals.2021.194.3.9",1],[2,-0.7544,-0.3813,"A quantum obstruction for purely cosmetic surgeries",2025,"https://doi.org/10.5802/aif.3673",1],[2,0.3673,0.6372,"Connectivity and choosability of graphs with no K minor",2021,"https://doi.org/10.1016/j.jctb.2021.02.001",1],[2,0.5797,-0.3967,"A global Weinstein splitting theorem for holomorphic Poisson manifolds",2022,"https://doi.org/10.2140/gt.2022.26.2831",1],[2,0.7433,-0.0798,"Equivalence of the local and global versions of the L-Brunn-Minkowski inequality",2021,"https://doi.org/10.1016/j.jfa.2021.108956",1],[2,-0.201,0.8151,"Convergence of Fermionic Observables in the Massive Planar FK-Ising Model",2022,"https://doi.org/10.1007/s00220-022-04488-6",1],[2,-0.6146,0.22,"The positive mass theorem with arbitrary ends",2024,"https://doi.org/10.4310/jdg/1721075263",2],[2,0.6875,0.1889,"Isotropic Coordinates, Circularity, and Bezout Numbers: Planar Kinematics From a New Perspective",1996,"https://doi.org/10.1115/96-detc/mech-1210",1],[2,0.5137,0.5027,"Quantitative multiple pointwise convergence and effective multiple correlations",2021,"https://doi.org/10.1016/j.jde.2021.02.057",1],[2,-0.5177,-0.641,"Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below",2021,"https://doi.org/10.4007/annals.2021.193.2.2",1],[2,-0.5235,0.3684,"Über diskontinuierliche Gruppen mit einer definierenden Relation. (Der Freiheitssatz).",1930,"https://doi.org/10.1515/crll.1930.163.141",2],[2,0.4889,0.6361,"Global hypercontractivity and its applications",2021,"https://arxiv.org/abs/2103.04604",1],[2,-0.6373,-0.1946,"Geometrization of the local Langlands correspondence",2021,"https://doi.org/10.48550/arxiv.2102.13459",5],[2,0.4986,-0.5781,"Limits of Hodge structures via holonomic D-modules",2021,"https://arxiv.org/abs/2103.03983",1],[2,-0.283,-0.5966,"Arnold Conjecture and Morava K-theory",2021,"https://arxiv.org/abs/2103.01507",3],[2,-0.6295,0.2015,"An area law for 2d frustration-free spin systems",2022,"https://doi.org/10.1145/3519935.3519962",2],[2,-0.0787,-0.783,"Quantitative stability of optimal transport maps under variations of the target measure",2023,"https://doi.org/10.1215/00127094-2022-0106",1],[2,-0.3913,0.6582,"Two–Sided Bounds for PDF’s Maximum of a Sum of Weighted Chi-square Variables",2021,"https://doi.org/10.1007/978-3-030-83266-7_13",1],[2,-0.3084,0.7182,"On the rate of convergence in quenched Voronoi percolation",2021,"https://doi.org/10.1214/21-ejp712",1],[2,-0.8371,0.1694,"Anchored Parallel Repetition for Nonlocal Games",2022,"https://doi.org/10.1137/21m1405927",1],[2,0.1694,-0.649,"Expansion, divisibility and parity",2021,"https://arxiv.org/abs/2103.06853",4],[2,0.7816,-0.15,"Uniqueness and Continuity of the Solution to $$L_p$$ Dual Minkowski Problem",2024,"https://doi.org/10.1007/s40304-023-00374-2",1],[2,0.7236,0.2476,"A Simple O (log log(rank)) -Competitive Algorithm for the Matroid Secretary Problem",2014,"https://doi.org/10.1137/1.9781611973730.79",1],[2,-0.4562,-0.5414,"A lower bound for $L_2$ length of second fundamental form on minimal hypersurfaces",2021,"https://arxiv.org/abs/2103.07747",1],[2,-0.586,-0.4282,"Every 2-dimensional Banach space has the Mazur–Ulam property",2021,"https://doi.org/10.1016/j.laa.2021.09.020",1],[2,0.7916,-0.1019,"Floating Wigner crystal and periodic jellium configurations",2021,"https://doi.org/10.1063/5.0053494",1],[2,-0.3083,0.7484,"Liouville quantum gravity surfaces with boundary as matings of trees",2021,"https://doi.org/10.1214/20-aihp1068",1],[2,-0.2572,0.6126,"Correlations of primary fields in the critical Ising model",2021,"https://doi.org/10.48550/arxiv.2103.10263",3],[2,0.6783,0.2809,"The matching problem has no small symmetric SDP",2016,"https://doi.org/10.1007/s10107-016-1098-z",1],[2,0.5396,0.4873,"Uniqueness of the measure of maximal entropy for the standard map",2021,"https://doi.org/10.4171/cmh/508",1],[2,0.7063,-0.1407,"An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture",2021,"https://doi.org/10.1007/s00039-021-00558-4",1],[2,0.823,0.2118,"Efficient Computation of Representative Families with Applications in Parameterized and Exact Algorithms",2016,"https://doi.org/10.1145/2886094",1],[2,0.0235,-0.8343,"Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. II",1990,"https://doi.org/10.24033/asens.1602",1],[2,0.7697,0.2802,"A theorem on the entropy of certain binary sequences and applications--I",1973,"https://doi.org/10.1109/tit.1973.1055107",1],[2,0.1823,0.8323,"On the packing/covering conjecture of infinite matroids",2023,"https://doi.org/10.1007/s11856-023-2595-4",1],[2,0.4618,0.6969,"THE KÜHNEL TRIANGULATION OF THE COMPLEX PROJECTIVE PLANE FROM THE VIEW POINT OF COMPLEX CRYSTALLOGRAPHY PART II",1991,"https://doi.org/10.2206/kyushumfs.45.167",1],[2,0.365,0.7216,"Sidorenko's conjecture for blow-ups",2021,"https://doi.org/10.19086/da.21472",1],[2,-0.5452,0.0307,"An Introduction to Homological Algebra",1994,"https://doi.org/10.1017/cbo9781139644136",2],[2,-0.7116,0.0986,"Local Energy Bounds and Strong Locality in Chiral CFT",2022,"https://doi.org/10.1007/s00220-021-04291-9",1],[2,0.7498,0.1239,"Better Pseudodistributions and Derandomization for Space-Bounded Computation.",2021,"https://doi.org/10.4230/lipics.approx/random.2021.28",1],[2,-0.6039,0.2422,"Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional",2000,"https://doi.org/10.1103/physreva.61.043602",2],[2,0.8096,0.1352,"Error Reduction for Weighted PRGs Against Read Once Branching Programs",2021,"https://doi.org/10.4230/lipics.ccc.2021.22",1],[2,0.7085,0.0636,"Hardness of Finding Independent Sets in Almost 3-Colorable Graphs",2010,"https://doi.org/10.1109/focs.2010.84",1],[2,0.4088,0.4864,"An uncountable Furstenberg–Zimmer structure theory",2022,"https://doi.org/10.1017/etds.2022.43",3],[2,0.5209,0.5155,"On infinitely many foliations by caustics in strictly convex non-closed billiards",2021,"https://doi.org/10.1017/etds.2023.42",1],[2,0.5865,-0.3105,"The Bochner–Riesz Problem: An Old Approach Revisited",2024,"https://doi.org/10.1007/s42543-023-00082-4",3],[2,0.052,0.8416,"Ulrich modules and weakly lim Ulrich sequences do not always exist",2023,"https://doi.org/10.1017/fms.2023.68",1],[2,0.6376,0.1226,"The Theory of Universal Graphs for Infinite Duration Games",2022,"https://doi.org/10.46298/lmcs-18(3:29)2022",2],[2,0.6499,0.1302,"A Recursive Approach to Solving Parity Games in Quasipolynomial Time",2022,"https://doi.org/10.46298/lmcs-18(1:8)2022",3],[2,-0.0599,-0.6596,"Turing Universality of the Incompressible Euler Equations and a Conjecture of Moore",2021,"https://doi.org/10.1093/imrn/rnab233",4],[2,0.5848,-0.2678,"An improved result for Falconer’s distance set problem in even dimensions",2021,"https://doi.org/10.1007/s00208-021-02170-1",2],[2,0.4589,-0.7229,"Transcendental versions in ℂ n of the Nagata conjecture",2021,"https://doi.org/10.5802/aif.3402",1],[2,-0.8192,0.0996,"A new microlocal analysis of hyperfunctions",2021,"https://doi.org/10.1016/j.jfa.2021.109065",1],[2,-0.5276,-0.4129,"On the embeddability of countably branching bundle graphs into dual spaces",2021,"https://doi.org/10.48550/arxiv.2104.10494",4],[2,0.0449,0.7459,"Multiplicities and Betti numbers in local algebra via lim Ulrich points",2022,"https://doi.org/10.2140/ant.2022.16.1213",1],[2,-0.0482,-0.6445,"Constructing Turing complete Euler flows in dimension 3",2021,"https://doi.org/10.1073/pnas.2026818118",9],[2,0.4057,-0.5835,"Hodge groups of K3 surfaces.",1983,"https://doi.org/10.1515/crll.1983.341.193",1],[2,-0.6982,0.2469,"The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting",2020,"https://doi.org/10.1007/s00220-021-04083-1",1],[2,0.7982,-0.1487,"Fixed points of Minkowski valuations",2021,"https://doi.org/10.1016/j.aim.2021.108017",1],[2,-0.7024,0.2932,"Estimates on derivatives of Coulombic wave functions and their electron densities",2021,"https://doi.org/10.1515/crelle-2020-0047",1],[2,0.597,-0.4227,"Rational Lax Matrices from Antidominantly Shifted Extended Yangians: BCD Types",2022,"https://doi.org/10.1007/s00220-022-04345-6",1],[2,0.7077,-0.085,"Centro-affine differential geometry and the log-Minkowski problem",2023,"https://doi.org/10.4171/jems/1386",1],[2,0.0497,-0.7817,"l-adic representations associated to modular forms over imaginary quadratic fields",1993,"https://doi.org/10.1007/bf01232440",1],[2,0.5032,-0.6943,"Relations in the tautological ring of the moduli space of curves",2021,"https://doi.org/10.4310/pamq.2021.v17.n2.a7",1],[2,-0.2415,0.6112,"Conformal covariance of the Liouville quantum gravity metric for γ∈(0,2)",2021,"https://doi.org/10.1214/20-aihp1105",4],[2,0.6191,0.2406,"New lower bounds for trace reconstruction",2021,"https://doi.org/10.1214/20-aihp1089",2],[2,0.0116,-0.7774,"The effective Shafarevich conjecture for abelian varieties of -type",2021,"https://doi.org/10.1017/fms.2021.29",1],[2,-0.7491,0.21,"Preparation and verification of tensor network states",2022,"https://doi.org/10.1103/physrevresearch.4.023161",1],[2,0.3037,0.7924,"Simplices and Regular Polygonal Tori in Euclidean Ramsey Theory",2022,"https://doi.org/10.37236/10944",1],[2,-0.4294,-0.585,"Inequalities between torsional rigidity and principal eigenvalue of the p-Laplacian",2022,"https://doi.org/10.1007/s00526-021-02129-9",1],[2,0.5848,0.2915,"An Improved Approximation for k -Median and Positive Correlation in Budgeted Optimization",2017,"https://doi.org/10.1145/2981561",2],[2,-0.5336,-0.5799,"Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions",2023,"https://doi.org/10.2140/gt.2023.27.1635",1],[2,0.2323,-0.6044,"Automorphic gluing functor in Betti Geometric Langlands",2021,"https://arxiv.org/abs/2105.12318",3],[2,0.5087,-0.4032,"Constructible Sheaf Complexes in Complex Geometry and Applications",2022,"https://doi.org/10.1007/978-3-030-95760-5_10",2],[2,0.2186,0.6666,"On a problem of M. Talagrand",2022,"https://doi.org/10.1002/rsa.21077",1],[2,-0.3417,0.5547,"The singularity probability of a random symmetric matrix is exponentially small",2024,"https://doi.org/10.1090/jams/1042",2],[2,-0.186,0.725,"Convergence of loop-erased random walk in the natural parameterization",2021,"https://doi.org/10.1215/00127094-2020-0075",1],[2,0.7554,-0.02,"No dimension reduction for doubling subsets of ℓ when q > 2 revisited",2021,"https://doi.org/10.1016/j.jmaa.2021.125407",1],[2,0.5189,-0.5706,"The Demailly system for a direct sum of ample line bundles on Riemann surfaces",2023,"https://doi.org/10.1007/s00526-023-02517-3",1],[2,0.6838,-0.5397,"Chern classes and Gromov-Witten theory of projective bundles",2021,"https://doi.org/10.1353/ajm.2021.0020",1],[2,-0.7574,0.1301,"An Optimal Separation of Randomized and Quantum Query Complexity",2023,"https://doi.org/10.1137/22m1468943",1],[2,0.6197,-0.6055,"$${\\mathcal {W}}$$-algebras and Whittaker categories",2021,"https://doi.org/10.1007/s00029-021-00641-6",1],[2,0.3183,-0.583,"A gap theorem for minimal log discrepancies of non-canonical singularities in dimension three",2019,"https://doi.org/10.1090/jag/759",2],[2,0.6142,0.2379,"Separating words and trace reconstruction",2021,"https://doi.org/10.1145/3406325.3451118",2],[2,0.1147,-0.8291,"Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods",2022,"https://doi.org/10.1016/j.ffa.2022.102101",1],[2,-0.1186,-0.7296,"A new approach to the hot spots conjecture",2021,"https://doi.org/10.48550/arxiv.2106.05224",1],[2,0.437,-0.4894,"Structure theorem for projective klt pairs with nef anti-canonical divisor",2021,"https://arxiv.org/abs/2105.14308",3],[2,0.2701,-0.7158,"Unipotent nearby cycles and the cohomology of shtukas",2023,"https://doi.org/10.1112/s0010437x23007017",1],[2,0.0689,-0.7464,"$p$-adic shtukas and the theory of global and local Shimura varieties",2024,"https://doi.org/10.4310/cjm.2024.v12.n1.a1",1],[2,0.0607,-0.8418,"Adelic line bundles on quasi-projective varieties",2021,"https://arxiv.org/abs/2105.13587",1],[2,-0.7678,-0.4044,"An approach to Quillen’s conjecture via centralisers of simple groups",2021,"https://doi.org/10.1017/fms.2021.41",1],[2,0.5775,-0.3005,"On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane",2023,"https://doi.org/10.1215/00127094-2022-0103",4],[2,-0.4525,0.6249,"On the Crossing Estimates for Simple Conformal Loop Ensembles",2022,"https://doi.org/10.1093/imrn/rnac173",1],[2,-0.1114,0.8412,"Counting homomorphisms from surface groups to finite groups",2024,"https://doi.org/10.4153/s0008439524000420",1],[2,-0.1027,0.7817,"Nonabelian level structures, Nielsen equivalence, and Markoff triples",2023,"https://doi.org/10.4007/annals.2024.199.1.5",1],[2,0.3283,-0.5563,"Uniqueness of the minimizer of the normalized volume function",2021,"https://doi.org/10.4310/cjm.2021.v9.n1.a2",5],[2,-0.0504,0.8315,"The Eisenbud-Green-Harris Conjecture",2021,"https://doi.org/10.1007/978-3-030-89694-2_5",1],[2,-0.4532,-0.5702,"Rectifiability of RCD(K,N) spaces via δ-splitting maps",2021,"https://doi.org/10.5186/aasfm.2021.4627",1],[2,0.0082,0.8201,"On Frobenius exact symmetric tensor categories",2023,"https://doi.org/10.4007/annals.2023.197.3.5",1],[2,0.5392,-0.6887,"On boundedness of semistable sheaves",2022,"https://doi.org/10.4171/dm/865",1],[2,0.346,-0.6235,"Equivariant minimal model program",2021,"https://doi.org/10.1070/rm9990",1],[2,-0.4593,-0.6406,"On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth",2022,"https://doi.org/10.1007/s00526-022-02193-9",1],[2,-0.4158,-0.5768,"Isoperimetric sets in spaces with lower bounds on the Ricci curvature",2022,"https://doi.org/10.1016/j.na.2022.112839",1],[2,0.4568,-0.7025,"Polynomials vanishing at lattice points in a convex set",2021,"https://arxiv.org/abs/2107.05353",1],[2,-0.5672,0.4766,"A Differential Perspective on Gradient Flows on $$\\textsf {CAT} (\\kappa )$$-Spaces and Applications",2021,"https://doi.org/10.1007/s12220-021-00701-5",1],[2,0.2846,-0.6949,"Local-global principles for homogeneous spaces of reductive groups over global function fields",2022,"https://doi.org/10.5802/ahl.144",1],[2,0.4415,-0.713,"Logarithmic bounds on Fujita's conjecture",2024,"https://doi.org/10.1112/plms.12591",1],[2,0.7417,-0.1576,"Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem",2021,"https://doi.org/10.1016/j.aim.2021.107927",1],[2,-0.3145,0.7951,"Critical Gaussian multiplicative chaos: a review",2020,"https://arxiv.org/abs/2006.13767",1],[2,0.8273,-0.0877,"Spectral monotonicity under Gaussian convolution",2024,"https://doi.org/10.5802/afst.1759",1],[2,-0.2315,0.7747,"Multiplicative chaos of the Brownian loop soup",2023,"https://doi.org/10.1112/plms.12511",1],[2,0.3062,0.768,"Strong positivity for quantum theta bases of quantum cluster algebras",2021,"https://doi.org/10.1007/s00222-021-01061-1",1],[2,-0.2457,0.5963,"A new correlation inequality for Ising models with external fields",2022,"https://doi.org/10.1007/s00440-022-01132-1",2],[2,-0.6429,0.4495,"The universality of Hughes-free division rings",2021,"https://doi.org/10.1007/s00029-021-00691-w",1],[2,0.5701,-0.5345,"Calibrated geometries",1982,"https://doi.org/10.1007/bf02392726",1],[2,-0.152,-0.2253,"Groupes réductifs",1965,"https://doi.org/10.1007/bf02684375",2],[2,0.3131,-0.5812,"Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension",2022,"https://doi.org/10.1017/fmp.2022.15",2],[2,0.1113,-0.7031,"Exponential Sums over Finite Fields",2021,"https://doi.org/10.1007/s11424-021-0066-8",1],[2,0.4035,0.6909,"Packing seagulls",2012,"https://doi.org/10.1007/s00493-012-2594-2",1],[2,0.1098,-0.847,"Metaplectic forms",1984,"https://doi.org/10.1007/bf02698770",1],[2,0.3353,0.5841,"Reducing linear Hadwiger’s conjecture to coloring small graphs",2024,"https://doi.org/10.1090/jams/1047",2],[2,-0.0689,0.6554,"On Some Modules Supported in the Chow Variety",2021,"https://doi.org/10.1007/s10013-021-00527-2",2],[2,-0.7081,0.1975,"A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential",2022,"https://doi.org/10.1007/s00023-022-01210-z",1],[2,-0.6664,-0.2242,"Chromatic homotopy theory is algebraic when p > n2 + n + 1",2021,"https://doi.org/10.1016/j.aim.2021.107958",1],[2,0.7881,0.3523,"Does Preprocessing help in Fast Sequence Comparisons?",2021,"https://arxiv.org/abs/2108.09115",1],[2,0.3392,0.5729,"Hadwiger's conjecture implies a conjecture of Füredi-Gyárfás-Simonyi",2021,"https://doi.org/10.48550/arxiv.2108.10303",2],[2,0.3809,0.7595,"Biregularity in Sidorenko's Conjecture",2021,"https://arxiv.org/abs/2108.06599",1],[2,-0.3565,0.5581,"Critical Percolation on Any Nonamenable Group has no Infinite Clusters",1999,"https://doi.org/10.1214/aop/1022677450",2],[2,-0.2742,0.6734,"Mating of trees for critical Liouville quantum gravity",2021,"https://arxiv.org/abs/2109.00275",1],[2,-0.6236,0.2171,"The positive mass theorem and distance estimates in the spin setting",2023,"https://doi.org/10.1090/tran/8942",2],[2,-0.2795,0.5762,"An Information-Theoretic View of Stochastic Localization",2022,"https://doi.org/10.1109/tit.2022.3180298",4],[2,-0.5934,0.2392,"The energy of dilute Bose gases II: the general case",2022,"https://doi.org/10.1007/s00222-022-01175-0",5],[2,0.7374,0.2714,"Lossless Dimension Expanders via Linearized Polynomials and Subspace Designs",2018,"https://doi.org/10.4230/lipics.ccc.2018.4",1],[2,-0.2808,0.6809,"The Critical Liouville Quantum Gravity Metric Induces the Euclidean Topology",2024,"https://doi.org/10.1007/s11464-022-0106-2",1],[2,0.4353,-0.7189,"The moduli of sections has a canonical obstruction theory",2022,"https://doi.org/10.1017/fms.2022.61",1],[2,0.0516,-0.733,"Unlikely intersections of curves with algebraic subgroups in semiabelian varieties",2023,"https://doi.org/10.1007/s00029-022-00823-w",1],[2,0.5927,-0.5653,"The Moser isotopy for holomorphic symplectic and C-symplectic structures",2025,"https://doi.org/10.5802/aif.3684",1],[2,0.5128,-0.5138,"Endoscopic decompositions and the Hausel–Thaddeus conjecture",2021,"https://doi.org/10.1017/fmp.2021.7",1],[2,-0.5975,0.2357,"Continuous symmetry breaking along the Nishimori line",2022,"https://doi.org/10.1063/5.0087024",3],[2,0.3047,-0.777,"Local parameters of supercuspidal representations",2024,"https://doi.org/10.1017/fmp.2024.10",1],[2,0.8016,0.3476,"The mixing time of switch Markov chains: A unified approach",2021,"https://doi.org/10.1016/j.ejc.2021.103421",1],[2,0.0142,-0.7226,"Modularity and effective Mordell I",2021,"https://arxiv.org/abs/2109.07917",1],[2,0.7667,-0.3118,"Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level",2023,"https://doi.org/10.1016/j.jfa.2023.110097",1],[2,0.1571,-0.8432,"Some explicit formulas for partial sums of Möbius functions",2021,"https://doi.org/10.5802/jtnb.1162",1],[2,0.2318,-0.6048,"Relative perversity",2023,"https://doi.org/10.1090/cams/21",4],[2,0.8522,0.1538,"New Algorithms for Combinations of Objectives using Separating Automata",2021,"https://doi.org/10.4204/eptcs.346.15",1],[2,0.5856,-0.6175,"Albanese map of special manifolds: a correction",2023,"https://doi.org/10.5802/aif.3563",1],[2,0.1392,0.711,"The Matching Process and Independent Process in Random Regular Graphs and Hypergraphs",2023,"https://doi.org/10.37236/10698",1],[2,-0.6021,0.4053,"Lattices, injective metrics and the $K(\\pi,1)$ conjecture",2021,"https://doi.org/10.2140/agt.2024.24.4007",1],[2,0.8063,-0.114,"$$\\varepsilon $$-Isometric Dimension Reduction for Incompressible Subsets of $$\\ell _p$$",2023,"https://doi.org/10.1007/s00454-023-00587-w",1],[2,-0.7258,0.122,"Open Problems Related to Quantum Query Complexity",2021,"https://doi.org/10.1145/3488559",1],[2,-0.262,0.7663,"Entropy inequalities for random walks and permutations",2024,"https://doi.org/10.1214/22-aihp1267",1],[2,-0.7782,-0.3931,"Cosmetic operations and Khovanov multicurves",2023,"https://doi.org/10.1007/s00208-023-02697-5",1],[2,0.1354,0.8078,"Polynomial removal lemmas for ordered graphs",2022,"https://doi.org/10.5070/c62359151",1],[2,0.0358,-0.7281,"On local Galois deformation rings",2023,"https://doi.org/10.1017/fmp.2023.25",1],[2,0.2788,-0.7033,"An Explicit Geometric Langlands Correspondence for the Projective Line Minus Four Points",2021,"https://doi.org/10.1093/imrn/rnab218",1],[2,-0.8002,-0.0178,"Exactness and the Kadison-Kaplansky conjecture",2016,"https://doi.org/10.1090/conm/671/13501",1],[2,-0.0316,0.8605,"High-Rate Storage Codes on Triangle-Free Graphs",2022,"https://doi.org/10.1109/tit.2022.3191309",1],[2,0.454,0.6731,"The structure of translational tilings in $\\mathbb{Z}^d$",2021,"https://doi.org/10.19086/da.28324",1],[2,0.4104,-0.5066,"Abundance for slc surfaces over arbitrary fields",2023,"https://doi.org/10.46298/epiga.2023.volume7.8803",2],[2,-0.7563,-0.2386,"Invertible spectra of finite type",2021,"https://arxiv.org/abs/2110.08397",1],[2,0.3822,-0.5076,"Injectivity theorem for pseudo-effective line bundles and its applications",2016,"https://doi.org/10.1090/btran/86",3],[2,-0.6746,-0.1999,"On the $p$-adic pro-étale cohomology of Drinfeld symmetric spaces",2021,"https://arxiv.org/abs/2110.10683",1],[2,-0.1971,0.6176,"An Elementary Proof of Phase Transition in the Planar XY Model",2022,"https://doi.org/10.1007/s00220-022-04550-3",5],[2,-0.288,0.6981,"Scaling limits and universality of Ising and dimer models",2023,"https://doi.org/10.4171/icm2022/131",1],[2,-0.7783,-0.0273,"Groupes réductifs sur un corps local : I. Données radicielles valuées",1972,"https://doi.org/10.1007/bf02715544",1],[2,0.3764,0.6423,"Improved lower bound for the list chromatic number of graphs with no K t minor",2022,"https://doi.org/10.1017/s0963548322000116",1],[2,0.8291,0.0693,"An Invariance Principle for the Multi-slice, with Applications",2022,"https://doi.org/10.1109/focs52979.2021.00030",1],[2,0.465,0.6185,"Algebra in the Stone-Cech Compactification",2011,"https://doi.org/10.1515/9783110258356",1],[2,-0.623,0.224,"A note on the Gagliardo-Nirenberg inequality in a bounded domain",2022,"https://doi.org/10.3934/cpaa.2022132",2],[2,-0.6231,0.2136,"On holonomy singularities in general relativity and the Cloc0,1-inextendibility of space-times",2022,"https://doi.org/10.1215/00127094-2022-0040",3],[2,-0.6737,-0.2695,"The Curtis–Wellington spectral sequence through cohomology",2025,"https://doi.org/10.2140/agt.2025.25.3315",1],[2,-0.7828,0.1081,"The Quantum Approximate Optimization Algorithm at High Depth for MaxCut on Large-Girth Regular Graphs and the Sherrington-Kirkpatrick Model",2021,"https://doi.org/10.4230/lipics.tqc.2022.7",1],[2,-0.6335,0.4785,"Locally elliptic actions, torsion groups, and nonpositively curved spaces",2021,"https://arxiv.org/abs/2110.12431",1],[2,-0.7475,0.2217,"Some special complex Hadamard matrices of order six",2021,"https://arxiv.org/abs/2110.12206",1],[2,0.3462,-0.5607,"Bounding toric singularities with normalized volume",2024,"https://doi.org/10.1112/blms.13052",2],[2,0.4766,-0.5298,"Reductive quotients of klt singularities",2024,"https://doi.org/10.1007/s00222-024-01280-2",1],[2,0.4172,0.5767,"Improved Lower Bounds for Van Der Waerden Numbers",2022,"https://doi.org/10.1007/s00493-022-4925-2",1],[2,-0.7568,0.1199,"Quantum Search-To-Decision Reductions and the State Synthesis Problem",2021,"https://doi.org/10.4230/lipics.ccc.2022.5",1],[2,-0.0556,-0.6609,"Computability and Beltrami fields in Euclidean space",2022,"https://doi.org/10.1016/j.matpur.2022.11.007",8],[2,-0.8112,0.129,"Query and Depth Upper Bounds for Quantum Unitaries via Grover Search",2026,"https://doi.org/10.22331/q-2026-06-30-2144",1],[2,-0.0381,0.7625,"A geometric generalization of Kaplansky’s direct finiteness conjecture",2022,"https://doi.org/10.1090/proc/16333",1],[2,0.7352,0.4579,"Locally testable codes with constant rate, distance, and locality",2022,"https://doi.org/10.1145/3519935.3520024",1],[2,0.6906,0.2365,"Single-Sample Prophet Inequalities via Greedy-Ordered Selection",2022,"https://doi.org/10.1137/1.9781611977073.54",1],[2,0.3917,-0.6441,"Grünbaum‐type inequality for log‐concave functions",2018,"https://doi.org/10.1112/blms.12175",1],[2,-0.0869,0.8061,"Maximal Cohen–Macaulay Modules and Tate Cohomology",2021,"https://doi.org/10.1090/surv/262",1],[2,0.6005,-0.5997,"Hitchin fibrations, abelian surfaces, and the P=W conjecture",2021,"https://doi.org/10.1090/jams/989",1],[2,0.8017,0.2996,"Outer Bounds for Multiuser Settings: The Auxiliary Receiver Approach",2021,"https://doi.org/10.1109/tit.2021.3128136",1],[2,-0.7373,0.2169,"Mutually unbiased bases: polynomial optimization and symmetry",2021,"https://doi.org/10.22331/q-2024-04-30-1318",1],[2,-0.7799,0.1066,"Local algorithms for maximum cut and minimum bisection on locally treelike regular graphs of large degree",2023,"https://doi.org/10.1002/rsa.21149",1],[2,-0.4134,0.6963,"Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models",2021,"https://arxiv.org/abs/2106.04105",1],[2,0.6911,-0.1147,"Approximating Sparsest Cut in Low-treewidth Graphs via Combinatorial Diameter",2023,"https://doi.org/10.1145/3632623",1],[2,0.7474,-0.3739,"A cone restriction estimate using polynomial partitioning",2021,"https://doi.org/10.4171/jems/1168",1],[2,-0.6303,-0.186,"A Fourier transform for Banach–Colmez spaces",2024,"https://doi.org/10.4171/jems/1480",4],[2,-0.0848,-0.7783,"On deterministic solutions for multi-marginal optimal transport with Coulomb cost",2022,"https://doi.org/10.3934/cpaa.2022015",1],[2,0.4174,-0.4878,"Conjectures on the Kodaira Dimension",2024,"https://doi.org/10.1017/9781009396233.004",2],[2,-0.616,0.4308,"Algebraically hyperbolic groups",2025,"https://doi.org/10.4171/ggd/907",1],[2,0.3124,0.7685,"Towards combinatorial invariance for Kazhdan-Lusztig polynomials",2022,"https://doi.org/10.1090/ert/624",1],[2,0.3074,-0.5404,"Equations Différentielles à Points Singuliers Réguliers",1970,"https://doi.org/10.1007/bfb0061194",5],[2,-0.2839,-0.6064,"Floer homology and Novikov rings",1995,"https://doi.org/10.1007/978-3-0348-9217-9_20",2],[2,-0.7234,0.2451,"A scattering theory for the wave equation on Kerr black hole exteriors",2018,"https://doi.org/10.24033/asens.2358",1],[2,0.0577,-0.0966,"Les Schémas de Modules de Courbes Elliptiques",1973,"https://doi.org/10.1007/978-3-540-37855-6_4",3],[2,0.1327,-0.7799,"Distribution of values of Hecke characters of infinite order",1998,"https://doi.org/10.4064/aa-85-3-279-291",1],[2,-0.7914,-0.2667,"Life after the Telescope Conjecture",1993,"https://doi.org/10.1007/978-94-017-0695-7_10",1],[2,0.2625,0.583,"Some structural properties of low-rank matrices related to computational complexity",2000,"https://doi.org/10.1016/s0304-3975(99)00185-1",2],[2,0.2532,0.8265,"Buildings: Theory and Applications",2008,"https://doi.org/10.1007/978-0-387-78835-7",1],[2,0.7267,0.0418,"Approximation Algorithms for Unique Games",2008,"https://doi.org/10.4086/toc.2008.v004a005",1],[2,0.576,-0.6188,"Remarques sur les groupes de Kähler nilpotents",1995,"https://doi.org/10.24033/asens.1715",1],[2,0.8652,-0.1301,"Embedding Subspaces of L p in ℓ p N",1995,"https://doi.org/10.1007/978-3-0348-9090-8_26",1],[2,0.2306,-0.5941,"Constructible sheaves are holonomic",2016,"https://doi.org/10.1007/s00029-016-0260-z",2],[2,-0.1496,-0.623,"Éléments d'une théorie générale des chaînes simples constantes de Markoff",1940,"https://doi.org/10.24033/asens.883",2],[2,-0.4901,-0.6386,"Partial Differential Relations",1986,"https://doi.org/10.1007/978-3-662-02267-2",1],[2,-0.3264,-0.6224,"On Homotopy K 3 Surfaces",1970,"https://doi.org/10.1007/978-3-642-49197-9_6",1],[2,0.5338,-0.4919,"Complex Hyperbolic Geometry",1999,"https://doi.org/10.1093/oso/9780198537939.001.0001",1],[2,0.6628,-0.3462,"On the restriction and multiplier problems in R3",1991,"https://doi.org/10.1007/bfb0089225",1],[2,-0.3185,0.7576,"A New Algorithm for Embedding Plane Graphs at Fixed Vertex Locations",2021,"https://doi.org/10.37236/10106",1],[2,0.4512,0.4673,"Impact of symmetry on ergodic properties of triangular billiards",2022,"https://doi.org/10.1103/physreve.105.l012201",2],[2,-0.1017,0.7001,"Allgemeine Bewertungstheorie.",1932,"https://doi.org/10.1515/crll.1932.167.160",1],[2,-0.4258,0.4543,"A Course in the Theory of Groups",1996,"https://doi.org/10.1007/978-1-4419-8594-1",2],[2,-0.0524,0.6491,"Kronecker positivity and 2-modular representation theory",2021,"https://doi.org/10.1090/btran/70",2],[2,-0.2027,0.6174,"Mathematical Aspects of Mixing Times in Markov Chains",2006,"https://doi.org/10.1561/0400000003",11],[2,0.337,-0.7505,"Length and denominators of egyptian fractions, III",1990,"https://doi.org/10.1016/0022-314x(90)90109-5",1],[2,-0.1223,-0.7981,"Erratum: Euclidean triangles have no hot spots",2022,"https://doi.org/10.4007/annals.2022.195.1.5",1],[2,0.2415,0.7308,"Upper and Lower Bounds for Stochastic Processes",2021,"https://doi.org/10.1007/978-3-030-82595-9",1],[2,-0.7142,-0.3287,"Open Problems",2021,"https://doi.org/10.1093/oso/9780198841319.003.0023",1],[2,0.6532,-0.1109,"Moment measures",2015,"https://doi.org/10.1016/j.jfa.2015.04.001",2],[2,-0.2267,0.6051,"Ising Model on Trees and Factors of IID",2022,"https://doi.org/10.1007/s00220-021-04260-2",2],[2,0.4262,-0.493,"On the Iitaka Conjecture C n , m for Kähler Fibre Spaces",2021,"https://doi.org/10.5802/afst.1690",5],[2,0.567,-0.4893,"Theorie der quadratischen Formen in beliebigen Körpern.",1937,"https://doi.org/10.1515/crll.1937.176.31",1],[2,0.7621,0.1303,"Über Spurfunktionen bei vollständigen Durchschnitten.",1975,"https://doi.org/10.1515/crll.1975.278-279.174",1],[2,0.1414,-0.6283,"The Difference between Consecutive Prime Numbers",1938,"https://doi.org/10.1112/jlms/s1-13.4.242",2],[2,0.0139,-0.7084,"Model Theory",2002,"https://doi.org/10.1007/b98860",1],[2,0.0845,-0.643,"On Artin's conjecture.",1967,"https://doi.org/10.1515/crll.1967.225.209",2],[2,0.0363,-0.6642,"Finiteness properties of the category of mod p representations of",2021,"https://doi.org/10.1017/fms.2021.72",2],[2,0.4944,0.659,"An arithmetic regularity lemma, associated counting lemma, and applications",2010,"https://arxiv.org/abs/1002.2028",1],[2,0.1062,-0.8451,"A cubic analogue of the theta series. II.",1977,"https://doi.org/10.1515/crll.1977.296.217",1],[2,0.035,-0.2392,"Linear Algebraic Groups",1991,"https://doi.org/10.1007/978-1-4612-0941-6",3],[2,0.354,0.5641,"On Sets of Distances of n Points",1946,"https://doi.org/10.1080/00029890.1946.11991674",3],[2,0.031,-0.7686,"Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou",2022,"https://doi.org/10.1016/j.aim.2021.108172",1],[2,0.1019,-0.7402,"Corrections to : “Metaplectic forms”",1985,"https://doi.org/10.1007/bf02698809",1],[2,-0.3656,-0.6762,"On Tamed Almost Complex Four-Manifolds",2022,"https://doi.org/10.1007/s42543-021-00045-7",1],[2,0.3511,0.7681,"Graph Colouring and the Probabilistic Method",2002,"https://doi.org/10.1007/978-3-642-04016-0",1],[2,0.7278,0.131,"PP Is Closed under Intersection",1995,"https://doi.org/10.1006/jcss.1995.1017",1],[2,-0.0531,0.7651,"Signed graphs",1982,"https://doi.org/10.1016/0166-218x(82)90033-6",1],[2,-0.3155,0.6874,"Brownian Motion",2001,"https://doi.org/10.1017/cbo9780511750489",1],[2,-0.3411,0.6239,"Generalized TAP Free Energy",2022,"https://doi.org/10.1002/cpa.22040",1],[2,0.383,-0.62,"Vanishing theorems.",1982,"https://doi.org/10.1515/crll.1982.335.1",1],[2,0.4632,-0.6592,"Tata Lectures on Theta I",1983,"https://doi.org/10.1007/978-1-4899-2843-6",1],[2,0.0384,0.4341,"Probability",2019,"https://doi.org/10.1017/9781108591034",2],[2,0.1417,-0.7507,"Additive Zahlentheorie",1956,"https://doi.org/10.1007/978-3-662-11030-0",1],[2,0.0355,-0.7711,"Serre’s modularity conjecture (I)",2009,"https://doi.org/10.1007/s00222-009-0205-7",1],[2,0.6438,-0.5816,"Basic Algebraic Geometry",1974,"https://doi.org/10.1007/978-3-642-96200-4",1],[2,0.4135,0.7272,"List colourings of planar graphs",1993,"https://doi.org/10.1016/0012-365x(93)90579-i",1],[2,0.0679,0.0181,"The Geometry of Moduli Spaces of Sheaves",2010,"https://doi.org/10.1017/cbo9780511711985",2],[2,0.6665,0.2813,"Detection theory and quantum mechanics",1967,"https://doi.org/10.1016/s0019-9958(67)90302-6",1],[2,-0.7761,-0.0606,"Jordan Homomorphisms",1956,"https://doi.org/10.1090/s0002-9947-1956-0076751-6",1],[2,-0.12,0.8044,"Scopes Reduction and Morita Equivalence Classes of Blocks in Finite Classical Groups",2000,"https://doi.org/10.1006/jabr.2000.8319",1],[2,0.2091,0.5637,"Maximal Flow Through a Network",1956,"https://doi.org/10.4153/cjm-1956-045-5",5],[2,0.3751,0.63,"Crossing numbers of imbalanced graphs",2009,"https://doi.org/10.1002/jgt.20435",1],[2,-0.4164,-0.6265,"Small curvature concentration and Ricci flow smoothing",2022,"https://doi.org/10.1016/j.jfa.2022.109420",1],[2,0.5614,-0.6381,"Combinatorial reciprocity theorems",1974,"https://doi.org/10.1016/0001-8708(74)90030-9",1],[2,-0.5938,0.4604,"Embeddings into left‐orderable simple groups",2022,"https://doi.org/10.1112/jlms.12552",1],[2,0.2113,0.6073,"An Improved Approximation Algorithm for The Asymmetric Traveling Salesman Problem",2022,"https://doi.org/10.1137/20m1339313",2],[2,0.5408,0.3651,"Curvature Measures",1959,"https://doi.org/10.1090/s0002-9947-1959-0110078-1",2],[2,0.3067,0.7858,"Noncommutative schur functions and their applications",1998,"https://doi.org/10.1016/s0012-365x(98)00140-x",1],[2,0.3872,0.7038,"Solutions",1961,"https://doi.org/10.1017/s0008439500025765",1],[2,0.0158,-0.8087,"Heights in Diophantine Geometry",2001,"https://doi.org/10.1017/cbo9780511542879",1],[2,-0.7271,-0.339,"Survey on aspherical manifolds",2010,"https://doi.org/10.4171/077-1/4",1],[2,0.6262,0.2169,"Black-Box Identity Testing of Noncommutative Rational Formulas of Inversion Height Two in Deterministic Quasipolynomial Time",2022,"https://doi.org/10.4230/lipics.approx/random.2022.23",2],[2,-0.3308,0.568,"Free energy fluctuations of the two-spin spherical SK model at critical temperature",2022,"https://doi.org/10.1063/5.0054298",2],[2,0.3446,-0.5644,"K-stability of cubic fourfolds",2022,"https://doi.org/10.1515/crelle-2022-0002",2],[2,-0.1563,0.6193,"The Representation Theory of the Symmetric Groups",1978,"https://doi.org/10.1007/bfb0067708",7],[2,0.5881,-0.5025,"On a quadratic form associated with a surface automorphism and its applications to Singularity Theory",2022,"https://doi.org/10.1016/j.indag.2022.02.007",1],[2,0.5338,-0.4996,"Theory of Stein Spaces",1979,"https://doi.org/10.1007/978-1-4757-4357-9",1],[2,0.1275,0.0583,"The Chow ring of a classifying space",1999,"https://doi.org/10.1090/pspum/067/1743244",2],[2,-0.6642,0.0071,"The nuclear dimension of O∞-stable C⁎-algebras",2022,"https://doi.org/10.1016/j.aim.2022.108250",2],[2,-0.527,0.5893,"Large Turing independent sets",2022,"https://doi.org/10.1090/proc/16081",1],[2,0.4633,-0.5614,"The violation of the Lipman–Zariski conjecture in positive characteristic",2022,"https://doi.org/10.1016/j.jalgebra.2022.03.004",1],[2,-0.6256,0.1676,"The spectral gap of a fractional quantum Hall system on a thin torus",2022,"https://doi.org/10.1063/5.0084677",2],[2,-0.3349,-0.7485,"Closed geodesics on reversible Finsler 2-spheres",2022,"https://doi.org/10.1007/s11784-022-00962-9",1],[2,0.3167,0.6734,"Coloring Graphs With Forbidden Almost Bipartite Subgraphs",2025,"https://doi.org/10.1002/rsa.70012",1],[2,0.7766,-0.397,"Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements",2022,"https://arxiv.org/abs/2203.15731",1],[2,-0.1626,-0.7145,"Long-time derivation at equilibrium of the fluctuating Boltzmann equation",2024,"https://doi.org/10.1214/23-aop1656",1],[2,0.42,-0.7528,"On the Log Abundance for Compact Kähler $3$-folds",2022,"https://arxiv.org/abs/2201.01202",1],[2,-0.576,-0.6432,"Scalar Curvature Splittings II: Removal of Singularities",2022,"https://arxiv.org/abs/2203.15531",1],[2,0.781,0.31,"Undirected $(1+\\varepsilon)$-Shortest Paths via Minor-Aggregates: Near-Optimal Deterministic Parallel & Distributed Algorithms",2022,"https://arxiv.org/abs/2204.05874",1],[2,-0.1178,0.8167,"ON ALPERIN’S LOWER BOUND FOR THE NUMBER OF BRAUER CHARACTERS",2022,"https://doi.org/10.1007/s00031-022-09734-8",1],[2,0.3183,-0.5716,"Some remarks on decomposition theorem for proper Kähler morphisms",2022,"https://arxiv.org/abs/2204.09026",2],[2,0.7046,-0.0452,"Weak and Strong Extremal Biquadratics",2022,"https://arxiv.org/abs/2204.10625",1],[2,0.5965,-0.5683,"Survey on the metric SYZ conjecture and non-Archimedean geometry",2022,"https://doi.org/10.1142/s0217751x22300095",1],[2,-0.837,0.0131,"The Global Glimm Property",2022,"https://doi.org/10.1090/tran/8880",1],[2,-0.5953,0.2775,"Intractability of Electronic Structure in a Fixed Basis",2022,"https://doi.org/10.1103/prxquantum.3.020322",2],[2,-0.2618,0.7458,"Uniform even subgraphs and graphical representations of Ising as factors of i.i.d.",2024,"https://doi.org/10.1214/24-ejp1082",1],[2,-0.0248,0.8116,"A geometric generalization of Kaplansky's direct finiteness conjecture",2021,"https://arxiv.org/abs/2111.07930",1],[2,0.5616,-0.5215,"Orbifold Kähler Groups related to Mapping Class groups",2021,"https://arxiv.org/abs/2112.06726",1],[2,-0.8246,0.0003,"Extensions of C*-Algebras by a Small Ideal",2022,"https://doi.org/10.1093/imrn/rnac115",1],[2,0.3842,-0.5306,"Lie groups and Lie algebras",2022,"https://arxiv.org/abs/2201.09397",2],[2,-0.2222,-0.7599,"On the Dirichlet-to-Neumann operator for the Connection Laplacian",2021,"https://doi.org/10.48550/arxiv.2112.13466",1],[2,-0.735,0.0108,"Ideal structure and pure infiniteness of inverse semigroup crossed products",2023,"https://doi.org/10.4171/jncg/506",1],[2,0.5259,-0.5732,"Monge—Ampère Functionals for the Curvature Tensor of a Holomorphic Vector Bundle",2022,"https://doi.org/10.1007/s10476-022-0156-4",1],[2,0.7275,-0.3858,"A restriction estimate in R3 using brooms",2022,"https://doi.org/10.1215/00127094-2021-0064",1],[2,0.4644,-0.657,"The Hodge Conjecture for Powers of K3 Surfaces of Picard Number 16",2024,"https://doi.org/10.1307/mmj/20236349",1],[2,0.4965,-0.686,"Geometric Models for Algebraic Suspensions",2023,"https://doi.org/10.1093/imrn/rnad094",1],[2,-0.1792,-0.6995,"Large data global solution of the 3D RVM system with cylindrical symmetry I: Iterative smoothing scheme",2022,"https://arxiv.org/abs/2203.01199",1],[2,0.2583,-0.6778,"Integral motivic sheaves and geometric representation theory",2022,"https://doi.org/10.1016/j.aim.2022.108811",1],[2,-0.6167,0.1952,"Entanglement Subvolume Law for 2D Frustration-Free Spin Systems",2022,"https://doi.org/10.1007/s00220-022-04381-2",2],[2,0.2284,0.7808,"High-Dimensional Expanders from Chevalley Groups",2022,"https://doi.org/10.4230/lipics.ccc.2022.18",1],[2,0.0471,0.7431,"Strongly Lech-independent ideals and Lech's conjecture",2021,"https://arxiv.org/abs/2112.09849",1],[2,-0.291,0.5955,"Coalescence of Geodesics and the BKS Midpoint Problem in Planar First-Passage Percolation",2024,"https://doi.org/10.1007/s00039-024-00672-z",2],[2,0.3964,-0.5257,"Minimal model program for projective morphisms between complex analytic spaces",2022,"https://arxiv.org/abs/2201.11315",8],[2,-0.2019,0.6139,"The Discrete Gaussian model, I. Renormalisation group flow at high temperature",2024,"https://doi.org/10.1214/23-aop1658",3],[2,-0.6734,-0.3115,"Lagrangian structures on mapping stacks and semi-classical TFTs",2015,"https://doi.org/10.1090/conm/643/12894",1],[2,0.7096,0.1272,"Quantifier elimination for real closed fields by cylindrical algebraic decompostion",1975,"https://doi.org/10.1007/3-540-07407-4_17",1],[2,0.0226,0.0061,"The six operations for sheaves on Artin stacks II: Adic coefficients",2008,"https://doi.org/10.1007/s10240-008-0012-5",2],[2,0.4843,-0.5368,"Equivariant completion",1974,"https://doi.org/10.1215/kjm/1250523277",1],[2,-0.6182,0.5309,"Graph Theory and Probability",1959,"https://doi.org/10.4153/cjm-1959-003-9",1],[2,0.1023,-0.6527,"A cubic analogue of the theta series.",1977,"https://doi.org/10.1515/crll.1977.296.125",4],[2,0.0645,0.8321,"Local Algebra",2000,"https://doi.org/10.1007/978-3-662-04203-8",1],[2,-0.1107,0.7813,"Weights for finite groups",1987,"https://doi.org/10.1090/pspum/047.1/933373",1],[2,-0.7248,-0.4022,"Model Categories",2007,"https://doi.org/10.1090/surv/063",1],[2,-0.1346,0.7914,"On the minimal degrees of projective representations of the finite Chevalley groups",1974,"https://doi.org/10.1016/0021-8693(74)90150-1",1],[2,0.5183,-0.4825,"Compact hyperkähler manifolds: basic results",1999,"https://doi.org/10.1007/s002220050280",1],[2,-0.2934,0.7275,"A combinatorial lemma and its application to probability theory",1956,"https://doi.org/10.1090/s0002-9947-1956-0079851-x",1],[2,0.0619,-0.7283,"A 𝑝-adic property of Hodge classes on abelian varieties",1994,"https://doi.org/10.1090/pspum/055.2/1265557",1],[2,-0.501,0.5846,"Shelah’s eventual categoricity conjecture in universal classes: part II",2016,"https://doi.org/10.1007/s00029-016-0296-0",1],[2,0.7585,0.2029,"Resource Minimization for Fire Containment",2010,"https://doi.org/10.1137/1.9781611973075.108",1],[2,0.2338,-0.5921,"La conjecture de Weil : II",1980,"https://doi.org/10.1007/bf02684780",3],[2,-0.7615,-0.3862,"Knots are Determined by Their Complements",1989,"https://doi.org/10.2307/1990979",1],[2,0.4048,-0.7376,"An Extension of Schwarz's Lemma",1938,"https://doi.org/10.2307/1990065",1],[2,0.2664,-0.3981,"Intersection Theory",1998,"https://doi.org/10.1007/978-1-4612-1700-8",13],[2,-0.6846,-0.3624,"The Theory of Lie Superalgebras",1979,"https://doi.org/10.1007/bfb0070929",1],[2,-0.3369,0.5723,"Some rigorous results on the Sherrington-Kirkpatrick spin glass model",1987,"https://doi.org/10.1007/bf01217677",4],[2,-0.2628,0.6528,"Congruent Graphs and the Connectivity of Graphs",1932,"https://doi.org/10.2307/2371086",1],[2,-0.3271,0.6539,"Nicht konstruktiv beweisbare Sätze der Analysis",1949,"https://doi.org/10.2307/2267043",1],[2,-0.3657,-0.7093,"Auf Wiedersehensflachen",1963,"https://doi.org/10.2307/1970344",1],[2,-0.3567,-0.621,"Invariant manifolds",1970,"https://doi.org/10.1090/s0002-9904-1970-12537-x",1],[2,-0.2141,0.6338,"The square lattice shuffle",2006,"https://doi.org/10.1002/rsa.20131",2],[2,-0.7327,-0.3728,"Confoliations",1997,"https://doi.org/10.1090/ulect/013",1],[2,0.2048,0.8311,"Combinatorial properties of circulant Hadamard matrices",2016,"https://doi.org/10.1090/conm/658/13134",1],[2,-0.494,-0.4157,"On uniformly homeomorphic normed spaces",1976,"https://doi.org/10.1007/bf02385837",2],[2,0.675,0.3103,"Oblivious string embeddings and edit distance approximations",2006,"https://doi.org/10.1145/1109557.1109644",1],[2,0.4541,0.7449,"An improved, simple construction of many halving edges",2008,"https://doi.org/10.1090/conm/453/08804",1],[2,0.1275,-0.7712,"On the distribution of Kummer sums.",1978,"https://doi.org/10.1515/crll.1978.303-304.126",1],[2,0.3134,-0.7493,"Intersections of two quadrics and Chatelet surfaces. II.",1987,"https://doi.org/10.1515/crll.1987.374.72",1],[2,-0.3587,0.7442,"First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory",1965,"https://doi.org/10.1007/978-3-642-99884-3_7",1],[2,0.3142,-0.5764,"On Generalised Abundance, II",2019,"https://doi.org/10.1007/s42543-019-00022-1",2],[2,0.2974,-0.6661,"Egyptian Fractions",1985,"https://doi.org/10.1112/blms/17.1.21",1],[2,0.7398,0.0451,"Making the Long Code Shorter",2015,"https://doi.org/10.1137/130929394",1],[2,0.0289,0.2323,"Probability Inequalities for Sums of Bounded Random Variables",1963,"https://doi.org/10.1080/01621459.1963.10500830",22],[2,0.0261,-0.736,"Kolyvagin systems",2004,"https://doi.org/10.1090/memo/0799",1],[2,-0.6712,-0.0593,"Perturbations of operator algebras II",1977,"https://doi.org/10.1512/iumj.1977.26.26072",2],[2,0.6326,0.169,"Paths, Trees, and Flowers",1965,"https://doi.org/10.4153/cjm-1965-045-4",2],[2,-0.0493,-0.6635,"Irreversibility and Heat Generation in the Computing Process",1961,"https://doi.org/10.1147/rd.53.0183",9],[2,-0.3398,-0.6163,"Symplectic cuts",1995,"https://doi.org/10.4310/mrl.1995.v2.n3.a2",1],[2,-0.8246,0.2485,"IEEE Standard for Floating-Point Arithmetic",2019,"https://doi.org/10.1109/ieeestd.2019.8766229",1],[2,-0.6019,0.2156,"NAKED SINGULARITIES",1973,"https://doi.org/10.1111/j.1749-6632.1973.tb41447.x",13],[2,-0.8008,0.2831,"On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems",2007,"https://doi.org/10.1090/conm/446/08625",1],[2,0.7734,0.1109,"Matroid Intersection",1979,"https://doi.org/10.1016/s0167-5060(08)70817-3",1],[2,0.0105,-0.7764,"The size of Selmer groups for the congruent number problem, II",1994,"https://doi.org/10.1007/bf01231536",1],[2,-0.1233,0.7344,"Permutation Groups",1996,"https://doi.org/10.1007/978-1-4612-0731-3",1],[2,-0.5964,0.2362,"Ground State Energy of the Low Density Bose Gas",1998,"https://doi.org/10.1103/physrevlett.80.2504",5],[2,0.1539,-0.065,"Éléments de géométrie algébrique : III. Étude cohomologique des faisceaux cohérents, Première partie",1961,"https://doi.org/10.1007/bf02684273",3],[2,0.2697,0.7642,"Remarks on the second neighborhood problem",2007,"https://doi.org/10.1002/jgt.20229",1],[2,0.1241,-0.6004,"Néron Models",1990,"https://doi.org/10.1007/978-3-642-51438-8",7],[2,0.8526,0.0912,"A Class of Statistics with Asymptotically Normal Distribution",1948,"https://doi.org/10.1214/aoms/1177730196",1],[2,-0.1772,-0.755,"Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum",1986,"https://doi.org/10.1007/bf01211098",1],[2,0.3764,-0.5246,"Abelian varieties attached to polarizedK 3-surfaces",1967,"https://doi.org/10.1007/bf01399540",2],[2,-0.6109,-0.2254,"Nilpotence and Stable Homotopy Theory II",1998,"https://doi.org/10.2307/120991",5],[2,0.0527,-0.8452,"Periods of cusp forms and elliptic curves over imaginary quadratic fields",1994,"https://doi.org/10.1090/s0025-5718-1994-1185241-6",1],[2,-0.0972,0.6537,"Local representation theory",1981,"https://doi.org/10.1090/pspum/037/604606",2],[2,-0.8238,-0.0109,"Thom Complexes",1961,"https://doi.org/10.1112/plms/s3-11.1.291",1],[2,0.6991,0.3017,"Correction: Corrigendum: A fast and unbiased procedure to randomize ecological binary matrices with fixed row and column totals",2016,"https://doi.org/10.1038/ncomms13086",1],[2,-0.027,0.144,"Hyperbolic Groups",1987,"https://doi.org/10.1007/978-1-4613-9586-7_3",4],[2,-0.194,-0.7243,"Oka manifolds",2009,"https://doi.org/10.1016/j.crma.2009.07.005",1],[2,-0.1739,0.2252,"Ramanujan graphs",1988,"https://doi.org/10.1007/bf02126799",2],[2,0.0921,0.3959,"Analysis and Geometry of Markov Diffusion Operators",2013,"https://doi.org/10.1007/978-3-319-00227-9",2],[2,0.7799,0.3396,"The switch Markov chain for sampling irregular graphs (Extended Abstract)",2014,"https://doi.org/10.1137/1.9781611973730.103",1],[2,0.0428,0.6725,"Intersection Theorems",1989,"https://doi.org/10.1007/978-1-4612-3660-3_23",2],[2,0.477,-0.6828,"Embeddings of the line in the plane.",1975,"https://doi.org/10.1515/crll.1975.276.148",1],[2,0.635,0.1295,"Resource Interfaces",2003,"https://doi.org/10.1007/978-3-540-45212-6_9",2],[2,-0.752,-0.4153,"Homotopical Algebra",1967,"https://doi.org/10.1007/bfb0097438",1],[2,0.6427,-0.0719,"Diffusions hypercontractives",1985,"https://doi.org/10.1007/bfb0075847",2],[2,-0.1679,0.7171,"The Jordan-Schönflies Theorem and the Classification of Surfaces",1992,"https://doi.org/10.1080/00029890.1992.11995820",1],[2,0.6429,0.0942,"Sampling binary contingency tables with a greedy start",2006,"https://doi.org/10.1002/rsa.20155",2],[2,0.0195,0.8255,"Categories Tensorielles",2002,"https://doi.org/10.17323/1609-4514-2002-2-2-227-248",1],[2,-0.2208,-0.5872,"Analytic extensions of differentiable functions defined in closed sets",1934,"https://doi.org/10.1090/s0002-9947-1934-1501735-3",3],[2,0.0912,-0.8311,"Power Free Values of Polynomials II",1979,"https://doi.org/10.1112/plms/s3-38.2.353",1],[2,-0.2515,-0.6117,"PROBLEM SECTION",1982,"https://doi.org/10.1515/9781400881918-035",3],[2,0.7472,-0.3737,"Bernstein classes",1997,"https://doi.org/10.5802/aif.1582",1],[2,0.8643,-0.1004,"Convex Geometry and its Applications",2019,"https://doi.org/10.4171/owr/2018/54",1],[2,0.4359,-0.4803,"Théorie de Hodge : II",1971,"https://doi.org/10.1007/bf02684692",14],[2,-0.7868,-0.2554,"Equivariant vector bundles on the Lubin-Tate moduli space",1994,"https://doi.org/10.1090/conm/158/01453",1],[2,-0.5895,-0.4466,"Real-valued measurable cardinals",1971,"https://doi.org/10.1090/pspum/013.1/0290961",1],[2,0.6025,0.6256,"Solutions of the Cohomological Equation for Area-Preserving Flows on Compact Surfaces of Higher Genus",1997,"https://doi.org/10.2307/2952464",1],[2,-0.01,0.0164,"Mathematical problems",1902,"https://doi.org/10.1090/s0002-9904-1902-00923-3",2],[2,-0.698,0.3321,"A Lattice Model of Liquid Helium, I",1956,"https://doi.org/10.1143/ptp.16.569",1],[2,0.016,0.7391,"Tensor Categories",2015,"https://doi.org/10.1090/surv/205",1],[2,-0.0204,-0.2198,"Basic Noncommutative Geometry",2008,"https://doi.org/10.4171/061",2],[2,-0.456,-0.2565,"Groupes analytiques p -adiques",1965,"https://doi.org/10.1007/bf02684303",5],[2,-0.7508,0.1822,"Forbidden Intersections",1987,"https://doi.org/10.1090/s0002-9947-1987-0871675-6",1],[2,0.3493,0.6782,"Phase transitions in anisotropic lattice spin systems",1978,"https://doi.org/10.1007/bf01612891",1],[2,0.4135,-0.6452,"Emptiness of homogeneous linear systems with ten general base points",2010,"https://doi.org/10.4171/007-1/8",1],[2,0.5049,-0.5755,"Slices étales",1973,"https://doi.org/10.24033/msmf.110",1],[2,0.4356,-0.6146,"A Primer on Mapping Class Groups",2011,"https://doi.org/10.1515/9781400839049",1],[2,0.545,-0.5081,"Embeddings of Gromov hyperbolic spaces",2000,"https://doi.org/10.1007/s000390050009",1],[2,-0.3951,0.4063,"The Parisi formula",2006,"https://doi.org/10.4007/annals.2006.163.221",7],[2,-0.7894,-0.1141,"Cyclomorphy",2002,"https://doi.org/10.1155/s1073792802105046",1],[2,0.1981,-0.8305,"Prime Percolation",1998,"https://doi.org/10.1080/10586458.1998.10504373",1],[2,-0.6163,-0.1913,"Morava 𝐾-theories and localisation",1999,"https://doi.org/10.1090/memo/0666",7],[2,0.0286,-0.6422,"Primes of the Formx2+ ny2",2013,"https://doi.org/10.1002/9781118400722",2],[2,-0.6483,-0.0918,"Free Entropy",2002,"https://doi.org/10.1112/s0024609301008992",3],[2,0.204,-0.2766,"Geometry of Sets and Measures in Euclidean Spaces",1995,"https://doi.org/10.1017/cbo9780511623813",3],[2,-0.1983,-0.7939,"The Relativistic Vlasov-Maxwell System in Two Space Dimensions: Part II",1998,"https://doi.org/10.1007/s002050050080",1],[2,-0.6402,0.0123,"Nuclear C^*-algebras and injectivity: The general case",1977,"https://doi.org/10.1512/iumj.1977.26.26034",3],[2,0.5413,-0.6761,"Local Cohomology",1967,"https://doi.org/10.1007/bfb0073971",1],[2,-0.8431,-0.0565,"Theory of Operator Algebras I",1979,"https://doi.org/10.1007/978-1-4612-6188-9",1],[2,-0.6338,-0.037,"On Rings of Operators. IV",1943,"https://doi.org/10.2307/1969107",2],[2,-0.8214,0.1145,"Unitarity of the Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, II",2019,"https://doi.org/10.1007/s00220-019-03534-0",1],[2,0.1332,0.7638,"All cycle‐complete graph Ramsey numbers r(Cm, K6)",2003,"https://doi.org/10.1002/jgt.10145",1],[2,0.5303,0.4572,"Finite cyclicity of elementary polycycles in generic families",1995,"https://doi.org/10.1090/trans2/165/02",1],[2,0.0016,0.8166,"𝐾-theory of Henselian local rings and Henselian pairs",1992,"https://doi.org/10.1090/conm/126/00509",1],[2,-0.5182,-0.0018,"The Imbedding Problem for Riemannian Manifolds",1956,"https://doi.org/10.2307/1969989",10],[2,-0.1267,-0.7037,"Global energy minimizers for free boundary problems and full regularity in three dimensions",2004,"https://doi.org/10.1090/conm/350/06339",1],[2,0.6479,-0.0766,"Corrigendum",1963,"https://doi.org/10.1017/s2040618500034833",3],[2,0.187,0.7426,"Combinatorial Mathematics",1963,"https://doi.org/10.5948/upo9781614440147",1],[2,0.7377,0.3937,"Complementing Two-Way Finite Automata",2005,"https://doi.org/10.1007/11505877_23",1],[2,-0.7755,-0.0889,"W ∗ -Algebras with a Single Generator",1962,"https://doi.org/10.2307/2034069",1],[2,-0.6172,0.2272,"Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II",1964,"https://doi.org/10.1002/cpa.3160170104",3],[2,-0.686,-0.2557,"ELLIPTIC MODULES",1974,"https://doi.org/10.1070/sm1974v023n04abeh001731",1],[2,-0.6848,0.27,"Variational Principle for Many-Fermion Systems",1981,"https://doi.org/10.1103/physrevlett.46.457",1],[2,0.2505,-0.7252,"p -adic etale cohomology",1986,"https://doi.org/10.1007/bf02831624",1],[2,0.3056,0.5949,"On difference sets of sequences of integers. I",1978,"https://doi.org/10.1007/bf01896079",3],[2,-0.2004,0.6108,"Axioms for Euclidean Green's functions",1973,"https://doi.org/10.1007/bf01645738",5],[2,-0.6521,-0.0394,"Incompressible transformations",1964,"https://doi.org/10.4064/fm-56-1-35-50",2],[2,0.7192,-0.4697,"On the Structure of Compact Complex Analytic Surfaces, I",1964,"https://doi.org/10.2307/2373157",1],[2,-0.7903,0.1429,"Graph properties and circular functions: how low can quantum query complexity go?",2004,"https://doi.org/10.1109/ccc.2004.1313851",1],[2,0.02,-0.7521,"Euler Systems",2007,"https://doi.org/10.1007/978-0-8176-4575-5_11",1],[2,0.4747,0.4613,"Pleasant extensions retaining algebraic structure, I",2015,"https://doi.org/10.1007/s11854-015-0001-9",3],[2,-0.5086,-0.0457,"On some series of functions, (3)",1932,"https://doi.org/10.1017/s0305004100010860",2],[2,-0.1656,0.6393,"Analytic Vectors",1959,"https://doi.org/10.2307/1970331",3],[2,0.0622,-0.6414,"Multiplicative Number Theory I",2006,"https://doi.org/10.1017/cbo9780511618314",2],[2,-0.0336,-0.0132,"Concentration Inequalities",2013,"https://doi.org/10.1093/acprof:oso/9780199535255.001.0001",2],[2,-0.2152,-0.6042,"Partial Differential Equations I",2010,"https://doi.org/10.1007/978-1-4419-7055-8",2],[2,-0.1972,0.6868,"Harmonic Measure",2005,"https://doi.org/10.1017/cbo9780511546617",1],[2,0.5962,0.5127,"Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem",1998,"https://doi.org/10.1007/978-3-0348-8798-4",1],[2,-0.7139,0.4664,"Amenable semigroups",1957,"https://doi.org/10.1215/ijm/1255380675",1],[2,-0.7201,-0.0052,"On closed Lie ideals of certain tensor products of ‐algebras",2017,"https://doi.org/10.1002/mana.201700009",1],[2,-0.2584,-0.6831,"Fonctions multisommables",1992,"https://doi.org/10.5802/aif.1295",1],[2,-0.7629,-0.4274,"Simplicial Homotopy Theory",1999,"https://doi.org/10.1007/978-3-0348-8707-6",1],[2,0.6901,0.1386,"Ein Fixpunktsatz",1935,"https://doi.org/10.1007/bf01472256",1],[2,-0.0642,0.8312,"Combinatorial Properties of Matrices of Zeros and Ones",1957,"https://doi.org/10.4153/cjm-1957-044-3",1],[2,-0.6366,-0.4928,"Martingale Transforms",1966,"https://doi.org/10.1214/aoms/1177699141",1],[2,-0.3034,-0.5804,"Characteristic Classes. (AM-76)",1974,"https://doi.org/10.1515/9781400881826",2],[2,0.326,0.2204,"�ber Abbildung von Mannigfaltigkeiten",1911,"https://doi.org/10.1007/bf01456931",5],[2,-0.7761,-0.3992,"Foliations and the topology of 3-manifolds. III",1987,"https://doi.org/10.4310/jdg/1214441488",1],[2,-0.7085,0.2777,"Asymptotic Neutrality of Large- Z Ions",1984,"https://doi.org/10.1103/physrevlett.52.994",1],[2,0.0061,0.0221,"Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations",1965,"https://doi.org/10.1090/trans2/047/01",2],[2,0.342,0.5408,"A new entropy inequality for the Erdős distance problem",2004,"https://doi.org/10.1090/conm/342/06136",2],[2,-0.5014,0.5712,"Models of axiomatic theories admitting automorphisms",1956,"https://doi.org/10.4064/fm-43-1-50-68",1],[2,0.0564,0.7241,"A special case of positivity (II)",2005,"https://doi.org/10.1090/s0002-9939-05-07929-3",1],[2,-0.3299,0.5791,"Nonconvex interactions in mean-field spin glasses",2021,"https://doi.org/10.2140/pmp.2021.2.281",3],[2,0.0164,-0.8593,"Local Fields",1979,"https://doi.org/10.1007/978-1-4757-5673-9",1],[2,-0.7554,-0.0389,"Extensions, Restrictions, and Representations of States on C ∗ - Algebras",1979,"https://doi.org/10.2307/1998793",1],[2,0.0655,-0.3586,"Plurisubharmonic functions as solutions of variational problems",1991,"https://doi.org/10.1090/pspum/052.1/1128523",2],[2,0.2935,-0.5296,"Algebraic Groups",2017,"https://doi.org/10.1017/9781316711736",3],[2,0.5631,-0.645,"On Kahler Varieties of Restricted Type An Intrinsic Characterization of Algebraic Varieties)",1954,"https://doi.org/10.2307/1969701",1],[2,0.2579,0.5919,"Flag algebras",2007,"https://doi.org/10.2178/jsl/1203350785",2],[2,0.0913,-0.244,"Algebraic Geometry",1977,"https://doi.org/10.1007/978-1-4757-3849-0",11],[2,0.5526,-0.5789,"Polycyclic Groups",1983,"https://doi.org/10.1017/cbo9780511565953",1],[2,0.5407,-0.5314,"Chiral Algebras",2004,"https://doi.org/10.1090/coll/051",1],[2,-0.4434,-0.5635,"On the geometry of metric measure spaces",2006,"https://doi.org/10.1007/s11511-006-0002-8",1],[2,-0.2166,-0.7807,"Global uniqueness for an inverse boundary problem arising in elasticity",1994,"https://doi.org/10.1007/bf01231541",1],[2,0.7707,-0.3266,"Functions of One Complex Variable II",1995,"https://doi.org/10.1007/978-1-4612-0817-4",1],[2,-0.5994,0.2258,"A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator",1998,"https://doi.org/10.4310/atmp.1998.v2.n4.a2",3],[2,0.4172,-0.7198,"Positivity in Algebraic Geometry II",2004,"https://doi.org/10.1007/978-3-642-18810-7",1],[2,-0.6251,0.2179,"ENERGY EXTRACTION*",1973,"https://doi.org/10.1111/j.1749-6632.1973.tb41445.x",3],[2,0.354,-0.6446,"Towards a Mori theory on compact Kähler threefolds III",2001,"https://doi.org/10.24033/bsmf.2400",1],[2,-0.0355,0.2922,"Variational Analysis",1998,"https://doi.org/10.1007/978-3-642-02431-3",3],[2,0.6583,0.5363,"Fractals and self-similarity",1981,"https://doi.org/10.1512/iumj.1981.30.30055",1],[2,-0.1349,0.8485,"A Formal Quantifier Elimination for Algebraically Closed Fields",2010,"https://doi.org/10.1007/978-3-642-14128-7_17",1],[2,-0.6607,0.2596,"Atomic and Molecular Negative Ions",1984,"https://doi.org/10.1103/physrevlett.52.315",1],[2,0.5727,-0.6003,"Corrections to : “The algebraic topology of smooth algebraic varieties”",1986,"https://doi.org/10.1007/bf02699195",1],[2,-0.7618,0.2952,"Nonlinear problems related to the Thomas-Fermi equation",2003,"https://doi.org/10.1007/s00028-003-0117-8",1],[2,0.5202,-0.5518,"Special manifolds, arithmetic and hyperbolic aspects: a short survey",2015,"https://doi.org/10.1090/conm/654/13214",1],[2,0.0782,-0.6563,"Quaternion Algebras",2021,"https://doi.org/10.1007/978-3-030-56694-4",3],[2,-0.7484,0.2709,"Diffeomorphisms of the 2-Sphere",1959,"https://doi.org/10.2307/2033664",1],[2,0.2757,0.7507,"Squaring a tournament: A proof of Dean's conjecture",1996,"https://doi.org/10.1002/(sici)1097-0118(199609)23:1<43::aid-jgt4>3.0.co;2-k",1],[2,0.6168,-0.5284,"Complex homogeneous contact manifolds and quaternionic symmetric spaces",1965,"https://doi.org/10.1512/iumj.1965.14.14065",1],[2,0.0691,0.168,"Representation Theory",2004,"https://doi.org/10.1007/978-1-4612-0979-9",6],[2,0.0751,-0.0896,"Éléments de géométrie algébrique : IV. Étude locale des schémas et des morphismes de schémas, Troisième partie",1966,"https://doi.org/10.1007/bf02684343",3],[2,0.4088,-0.5869,"Tannakian Categories",1982,"https://doi.org/10.1007/978-3-540-38955-2_4",1],[2,0.459,-0.4706,"Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II",1964,"https://doi.org/10.2307/1970547",2],[2,0.4309,-0.7239,"The geometry of logconcave functions and sampling algorithms",2006,"https://doi.org/10.1002/rsa.20135",1],[2,0.4132,0.5973,"On a Problem of Heilbronn, II",1972,"https://doi.org/10.1112/plms/s3-25.2.193",1],[2,-0.2617,-0.3634,"Galois Cohomology",1997,"https://doi.org/10.1007/978-3-642-59141-9",2],[2,0.2638,-0.793,"The cohomology ring of the colored braid group",1969,"https://doi.org/10.1007/bf01098313",1],[2,0.034,-0.7792,"Modular Functions of One Variable II",1973,"https://doi.org/10.1007/978-3-540-37855-6",1],[2,0.6545,0.0886,"A polynomial-time algorithm to approximately count contingency tables when the number of rows is constant",2003,"https://doi.org/10.1016/s0022-0000(03)00014-x",3],[2,-0.5341,0.3628,"Trees",1980,"https://doi.org/10.1007/978-3-642-61856-7",2],[2,0.4713,0.4614,"Glancing billiards",1982,"https://doi.org/10.1017/s0143385700001681",2],[2,-0.2735,-0.6018,"Lagrangian intersection theory: Finite-dimensional approach",1998,"https://doi.org/10.1090/trans2/186/02",2],[2,0.1588,-0.6054,"Abelian Varieties",1986,"https://doi.org/10.1007/978-1-4613-8655-1_5",3],[2,0.5987,-0.5706,"On the structure of spaces with Ricci curvature bounded below. III",2000,"https://doi.org/10.4310/jdg/1214342146",1],[2,0.5897,-0.2492,"Fixed Points, Koebe Uniformization and Circle Packings",1993,"https://doi.org/10.2307/2946541",2],[2,0.7216,0.3585,"The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions",2011,"https://doi.org/10.1007/s00037-011-0012-6",1],[2,-0.7131,-0.0301,"Lectures on Lie groups over local fields",2018,"https://doi.org/10.1017/9781108332675.005",1],[2,-0.036,0.2337,"On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation",1976,"https://doi.org/10.1016/0022-1236(76)90004-5",10],[2,-0.214,0.6098,"Stopping Times and Tightness",1978,"https://doi.org/10.1214/aop/1176995579",3],[2,-0.5487,0.4573,"Probability measures on metric spaces of nonpositive curvature",2003,"https://doi.org/10.1090/conm/338/06080",1],[2,0.2949,0.7714,"Algebra in the Stone-Čech Compactification",1998,"https://doi.org/10.1515/9783110809220",1],[2,-0.4703,0.6544,"Weak Convergence of Measures",1971,"https://doi.org/10.1137/1.9781611970623",1],[2,0.4305,0.7074,"Applications of random sampling in computational geometry, II",1989,"https://doi.org/10.1007/bf02187740",1],[2,0.2986,-0.7681,"Decomposition of representations into tensor products",1979,"https://doi.org/10.1090/pspum/033.1/546596",1],[2,0.5971,-0.0816,"Algorithms in Real Algebraic Geometry",2006,"https://doi.org/10.1007/3-540-33099-2",2],[2,-0.6717,-0.0265,"Classifying space for proper actions and 𝐾-theory of group 𝐶*-algebras",1994,"https://doi.org/10.1090/conm/167/1292018",2],[2,-0.6225,-0.1876,"Perfectoid Spaces",2012,"https://doi.org/10.1007/s10240-012-0042-x",2],[2,-0.0312,0.8729,"Projective Modules",1958,"https://doi.org/10.2307/1970252",1],[2,-0.3114,0.7682,"The Continuum Random Tree III",1993,"https://doi.org/10.1214/aop/1176989404",1],[2,-0.6483,-0.039,"Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II",1977,"https://doi.org/10.1090/s0002-9947-1977-0578730-2",2],[2,0.2728,0.6923,"Permutation actions on equivariant cohomology of flag varieties",2008,"https://doi.org/10.1090/conm/460/09030",1],[2,-0.5967,0.2426,"Length scales for BEC in the dilute Bose gas",2021,"https://doi.org/10.4171/ecr/18-1/7",5],[2,0.4725,-0.6424,"Quelques remarques sur la transformation de Fourier dans l’anneau de Chow d’une variété abélienne",1983,"https://doi.org/10.1007/bfb0099965",1],[2,-0.1474,-0.6418,"Cluster expansion for a dilute hard sphere gas dynamics",2022,"https://doi.org/10.1063/5.0091199",2],[2,0.5813,-0.4603,"Trisecant flops, their associated K3 surfaces and the rationality of some cubic fourfolds",2022,"https://doi.org/10.4171/jems/1248",1],[2,0.3098,0.6649,"Colouring graphs with forbidden bipartite subgraphs",2022,"https://doi.org/10.1017/s0963548322000104",1],[2,-0.2885,-0.7103,"Interior estimates for the Monge–Ampère type fourth order equations",2022,"https://doi.org/10.4171/rmi/1361",1],[2,-0.3409,0.5657,"Entropic independence: optimal mixing of down-up random walks",2022,"https://doi.org/10.1145/3519935.3520048",2],[2,0.8523,0.1208,"Counting Vertices of Integral Polytopes Defined by Facets",2022,"https://doi.org/10.1007/s00454-022-00406-8",1],[2,0.0147,-0.6415,"$$p^\\infty $$-Selmer groups and rational points on CM elliptic curves",2022,"https://doi.org/10.1007/s40316-022-00203-y",4],[2,-0.2359,0.5906,"Permutons, meanders, and SLE-decorated Liouville quantum gravity",2025,"https://doi.org/10.4171/jems/1646",3],[2,0.5431,-0.5245,"Non-vanishing of geometric Whittaker coefficients for reductive groups",2022,"https://arxiv.org/abs/2207.02955",1],[2,-0.6972,0.1758,"Positive Maps and Entanglement in Real Hilbert Spaces",2023,"https://doi.org/10.1007/s00023-023-01325-x",1],[2,0.5008,-0.6852,"Chow rings of stacks of prestable curves I",2022,"https://doi.org/10.1017/fms.2022.21",1],[2,-0.249,0.6158,"La gravité quantique de Liouville comme accouplement d'arbres",2021,"https://doi.org/10.24033/ast.1149",6],[2,0.007,-0.796,"The distribution of $\\ell^{\\infty}$-Selmer groups in degree $\\ell$ twist families II",2022,"https://arxiv.org/abs/2207.05143",1],[2,0.5414,-0.6195,"Kodaira Additivity, Birational Isotriviality, and Specialness",2023,"https://doi.org/10.17323/1609-4514-2023-23-3-319-330",1],[2,0.689,0.3335,"Breaching the 2 LMP Approximation Barrier for Facility Location with Applications to k-Median",2022,"https://arxiv.org/abs/2207.05150",1],[2,0.739,-0.146,"Bourgain’s slicing problem and KLS isoperimetry up to polylog",2022,"https://doi.org/10.1007/s00039-022-00612-9",1],[2,0.3097,-0.5688,"Weak Zariski decompositions and log terminal models for generalized pairs",2022,"https://doi.org/10.1007/s00209-022-03073-w",2],[2,0.4392,0.616,"New bounds for the Heilbronn triangle problem",2020,"https://arxiv.org/abs/2006.05269",1],[2,-0.6846,0.4508,"The 𝑀_{𝑑}-approximation property and unitarisability",2022,"https://doi.org/10.1090/proc/16204",1],[2,-0.2001,0.6167,"Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models",2021,"https://arxiv.org/abs/2110.09498",4],[2,0.6307,-0.1375,"Transport proofs of some functional inverse Santal{ó} inequalities",2021,"https://arxiv.org/abs/2109.00871",2],[2,0.3914,-0.6868,"Special MMP for log canonical generalised pairs",2021,"https://doi.org/10.1007/s00029-022-00798-8",1],[2,0.2564,-0.6746,"Chtoucas restreints pour les groupes réductifs et paramétrisation de Langlands locale",2017,"https://arxiv.org/abs/1709.00978",1],[2,0.6217,0.235,"Trace Reconstruction from Local Statistical Queries",2024,"https://doi.org/10.4230/lipics.approx/random.2024.52",2],[2,-0.4809,0.7288,"On the derivation of mean-field percolation critical exponents from the triangle condition",2021,"https://doi.org/10.1007/s10955-022-02967-7",1],[2,-0.3604,0.6649,"The replica-symmetric free energy for Ising spin glasses with orthogonally invariant couplings",2024,"https://doi.org/10.1007/s00440-024-01309-w",1],[2,-0.181,-0.7782,"Long‐time correlations for a hard‐sphere gas at equilibrium",2023,"https://doi.org/10.1002/cpa.22120",1],[2,-0.4304,0.7151,"Free energy upper bound for mean-field vector spin glasses",2020,"https://arxiv.org/abs/2010.09114",1],[2,-0.5599,0.3549,"Lamplighters over non-amenable groups are not strongly Ulam stable",2020,"https://arxiv.org/abs/2009.11738",2],[2,-0.7754,0.2544,"From communication complexity to an entanglement spread area law in the ground state of gapped local Hamiltonians",2020,"https://doi.org/10.1038/s41567-022-01740-7",1],[2,0.6185,-0.583,"Strominger–Yau–Zaslow conjecture for Calabi–Yau hypersurfaces in the Fermat family",2022,"https://doi.org/10.4310/acta.2022.v229.n1.a1",1],[2,0.125,-0.6381,"Zero-free regions for the Riemann zeta function",2019,"https://arxiv.org/abs/1910.08205",2],[2,0.2913,-0.7507,"Categorical Donaldson-Thomas theory for local surfaces",2019,"https://arxiv.org/abs/1907.09076",1],[2,-0.6139,0.1771,"On the Laughlin function and its perturbations",2019,"https://doi.org/10.5802/slsedp.131",2],[2,-0.4206,0.4922,"A proof of Shelah's eventual categoricity conjecture and an extension to accessible categories with directed colimits",2019,"https://arxiv.org/abs/1906.09169",2],[2,-0.5451,0.6081,"Systems of Logic Based on Ordinals†",1939,"https://doi.org/10.1112/plms/s2-45.1.161",1],[2,-0.6834,0.1725,"Foundations of Modern Probability",2002,"https://doi.org/10.1007/978-1-4757-4015-8",1],[2,-0.0108,-0.0037,"The Arithmetic of Elliptic Curves",2009,"https://doi.org/10.1007/978-0-387-09494-6",6],[2,0.059,-0.2817,"Geometric Measure Theory",1996,"https://doi.org/10.1007/978-3-642-62010-2",2],[2,0.4098,-0.5087,"The minimal model program for threefolds in characteristic 5",2022,"https://doi.org/10.1215/00127094-2022-0024",2],[2,0.5297,-0.6404,"The Delta Invariant and Fiberwise Normalization for Families of isolated Non-Normal Singularities",2022,"https://doi.org/10.5427/jsing.2022.25j",1],[2,0.54,-0.6525,"From Holomorphic Functions to Complex Manifolds",2002,"https://doi.org/10.1007/978-1-4684-9273-6",1],[2,0.5271,-0.6102,"A differential approach to Ax-Schanuel, I",2021,"https://arxiv.org/abs/2102.03384",1],[2,-0.6633,-0.5161,"Asymptotic geometry and Delta-points",2022,"https://doi.org/10.1007/s43037-022-00210-9",1],[2,0.3148,0.8011,"Chromatic quasisymmetric functions and noncommutative $P$-symmetric functions",2022,"https://arxiv.org/abs/2208.09857",1],[2,0.5423,0.4678,"Differential Equations and Dynamical Systems",2001,"https://doi.org/10.1007/978-1-4613-0003-8",1],[2,0.4749,-0.6833,"Complex Abelian Varieties",2004,"https://doi.org/10.1007/978-3-662-06307-1",1],[2,0.8316,0.1002,"Graphical Models, Exponential Families, and Variational Inference",2008,"https://doi.org/10.1561/2200000001",1],[2,0.7589,-0.087,"Local 𝐿^{𝑝}-Brunn–Minkowski inequalities for 𝑝<1",2022,"https://doi.org/10.1090/memo/1360",1],[2,-0.3613,0.7525,"The number of geodesics in planar first-passage percolation grows sublinearly",2022,"https://arxiv.org/abs/2208.11576",1],[2,0.4331,0.6259,"A lower bound for Heilbronn's triangle-problem",2017,"https://arxiv.org/abs/1703.03297",1],[2,-0.8067,0.0049,"Filling families and strong pure infiniteness",2015,"https://arxiv.org/abs/1503.08519",1],[2,0.2203,-0.8078,"Averaged forms of two conjectures of Erdős and Pomerance, and their applications",2022,"https://doi.org/10.1016/j.aim.2022.108592",1],[2,0.7976,0.3108,"Erratum to “Lower bounds for trace reconstruction”",2022,"https://doi.org/10.1214/22-aap1827",1],[2,0.2404,-0.686,"Bounds on Irrationality Measures and the Flint-Hills Series",2022,"https://arxiv.org/abs/2208.13356",1],[2,-0.3113,0.765,"Moore's theorem",2010,"https://arxiv.org/abs/1001.5140",1],[2,-0.2482,0.6041,"Bijective counting of tree-rooted maps and shuffles of parenthesis systems",2006,"https://arxiv.org/abs/math/0601684",2],[2,0.4075,-0.6166,"The Zariski cancellation problem and related problems in affine algebraic geometry",2023,"https://doi.org/10.4171/icm2022/151",1],[2,0.5645,0.489,"On the number of zeros of Abelian integrals",2010,"https://doi.org/10.1007/s00222-010-0244-0",1],[2,-0.743,-0.2886,"The Homology of Iterated Loop Spaces",1976,"https://doi.org/10.1007/bfb0080464",1],[2,0.5884,-0.5609,"Computing Riemann–Roch polynomials and classifying hyper-Kähler fourfolds",2022,"https://doi.org/10.1090/jams/1016",1],[2,0.6306,0.5575,"Spectral ergodic Banach problem and flat polynomials",2015,"https://arxiv.org/abs/1508.06439",1],[2,-0.2873,-0.5913,"Arnold conjecture over integers",2022,"https://arxiv.org/abs/2209.08599",4],[2,0.7624,0.1195,"Hitting Sets Give Two-Sided Derandomization of Small Space",2022,"https://doi.org/10.4086/toc.2022.v018a021",1],[2,-0.7921,0.2283,"Dual bounds for the positive definite functions approach to mutually unbiased bases",2022,"https://doi.org/10.1007/s43670-022-00033-7",1],[2,0.8401,-0.0432,"Hyperstable Sets with Voting and Algorithmic Hardness Applications",2022,"https://arxiv.org/abs/2209.11216",1],[2,-0.1987,-0.7491,"Global existence and modified scattering for the small data solutions to the Vlasov-Maxwell system",2022,"https://doi.org/10.2140/apde.2025.18.629",1],[2,0.2185,0.6985,"On the Second Kahn--Kalai Conjecture",2022,"https://arxiv.org/abs/2209.03326",1],[2,0.2707,0.5814,"Graph structure via local occupancy",2020,"https://arxiv.org/abs/2003.14361",2],[2,0.5632,-0.5664,"$P=W$ via $\\mathcal{H}_2$",2022,"https://arxiv.org/abs/2209.05429",1],[2,-0.7212,0.1418,"An exact quantum order finding algorithm and its applications",2022,"https://arxiv.org/abs/2205.04240",1],[2,0.653,-0.5442,"Immersivity of the contact line bundle of a complex-contact manifold and an application to the automorphism group",2009,"https://arxiv.org/abs/0905.2656",1],[2,-0.6121,0.2341,"Asymptotics of the ground state energy of heavy molecules and related topics",2012,"https://arxiv.org/abs/1210.1132",2],[2,-0.0043,0.737,"Foundations of Free Noncommutative Function Theory",2012,"https://arxiv.org/abs/1212.6345",1],[2,0.5679,0.5724,"Bounded Analytic Functions",2007,"https://doi.org/10.1007/0-387-49763-3",1],[2,-0.6028,0.2315,"The most negative ion in the Thomas-Fermi-von Weizsacker theory of atoms and molecules",1985,"https://doi.org/10.1088/0022-3700/18/6/006",2],[2,0.5818,-0.1964,"Real Algebraic Geometry",1998,"https://doi.org/10.1007/978-3-662-03718-8",2],[2,0.7424,-0.1517,"Symplectic Invariants and Hamiltonian Dynamics",1994,"https://doi.org/10.1007/978-3-0348-8540-9",1],[2,-0.2949,0.6806,"The Kirby torus trick for surfaces",2013,"https://arxiv.org/abs/1312.3518",1],[2,0.0096,-0.8743,"Abelian varieties over Q and modular forms",1992,"https://arxiv.org/abs/alg-geom/9208002",1],[2,0.411,-0.7429,"Fundamental group and pluridifferentials on compact Kähler manifolds",2015,"https://arxiv.org/abs/1510.07922",1],[2,0.6415,-0.0915,"Synchronization strings",2017,"https://doi.org/10.1145/3055399.3055498",2],[2,0.1334,0.6926,"One-Parameter Semigroups for Linear Evolution Equations",2000,"https://doi.org/10.1007/b97696",1],[2,0.4382,-0.4667,"Compact Complex Surfaces",2004,"https://doi.org/10.1007/978-3-642-57739-0",2],[2,-0.3128,0.5748,"Mean Field Models for Spin Glasses",2010,"https://doi.org/10.1007/978-3-642-15202-3",2],[2,-0.2093,0.6255,"Quasisymmetric (k,l)-hook Schur functions",2016,"https://arxiv.org/abs/1606.06942",3],[2,0.0639,-0.7781,"Arithmetic Compactifications of PEL-Type Shimura Varieties",2013,"https://doi.org/10.23943/princeton/9780691156545.001.0001",1],[2,-0.7622,-0.051,"Remarks on the similarity degree of an operator algebra",2000,"https://arxiv.org/abs/math/0009052",1],[2,-0.1135,0.774,"Computational proof of the Mackey formula for q>2",2010,"https://doi.org/10.1016/j.jalgebra.2010.10.030",1],[2,-0.706,0.3484,"Universal behaviour of 3D loop soup models",2017,"https://arxiv.org/abs/1703.09503",1],[2,-0.6727,0.4623,"Parabolic subgroups inside parabolic subgroups of Artin groups",2022,"https://doi.org/10.1090/proc/16289",1],[2,0.0105,-0.8378,"The rank of 2-Selmer group associate to $θ$-congruent numbers",2022,"https://arxiv.org/abs/2210.01678",1],[2,-0.7781,-0.3956,"Knots admitting purely cosmetic surgeries are prime",2022,"https://doi.org/10.1016/j.topol.2022.108270",1],[2,0.2526,-0.6566,"DG Indschemes",2011,"https://arxiv.org/abs/1108.1738",1],[2,-0.5573,-0.6567,"Weighted monotonicity theorems and applications to minimal surfaces in $\\mathbb{H}^n$ and $S^n$",2021,"https://arxiv.org/abs/2105.12625",1],[2,0.5241,-0.5996,"Logarithmic base change theorem and smooth descent of positivity of log canonical divisor",2026,"https://doi.org/10.2140/ant.2026.20.445",1],[2,0.749,-0.4071,"An improved restriction estimate in $\\mathbb{R}^3$",2022,"https://arxiv.org/abs/2210.03878",1],[2,0.5601,-0.5567,"On the P = W conjecture for $$SL_n$$",2022,"https://doi.org/10.1007/s00029-022-00803-0",1],[2,-0.6795,0.454,"Intersection of parabolic subgroups in even Artin groups of FC-type",2022,"https://doi.org/10.1017/s0013091522000414",1],[2,-0.4824,-0.5995,"A note on the topological stability theorem from $${{\\,\\textrm{RCD}\\,}}$$ spaces to Riemannian manifolds",2022,"https://doi.org/10.1007/s00229-022-01418-7",1],[2,0.0066,-0.6373,"Integers expressible as the sum of two rational cubes",2022,"https://arxiv.org/abs/2210.10730",2],[2,0.8486,0.1122,"Lower bounds for contingency tables via Lorentzian polynomials",2022,"https://doi.org/10.1007/s11856-022-2364-9",1],[2,-0.0978,0.8098,"Complex group rings and group C$$^*$$-algebras of group extensions",2022,"https://doi.org/10.1007/s10801-022-01183-6",1],[2,0.2407,-0.773,"At least two of $\\zeta(5), \\zeta(7), \\ldots, \\zeta(35)$ are irrational",2022,"https://doi.org/10.5486/pmd.2022.9252",1],[2,-0.7649,0.2703,"Hawking Mass Monotonicity for Initial Data Sets",2022,"https://arxiv.org/abs/2210.12237",1],[2,0.2638,0.6064,"Approximating CSPs with Global Cardinality Constraints Using SDP Hierarchies",2011,"https://arxiv.org/abs/1110.1064",2],[2,0.3743,0.6699,"Matching theory and Barnette's conjecture",2022,"https://doi.org/10.1016/j.disc.2022.113249",1],[2,-0.6154,0.4298,"The K(π,1)-conjecture implies the center conjecture for Artin groups",2022,"https://doi.org/10.1016/j.jalgebra.2022.10.024",1],[2,0.6101,-0.5972,"Poincare series and miraculous duality",2022,"https://arxiv.org/abs/2211.05282",1],[2,-0.2792,0.7024,"Uniqueness of the critical and supercritical Liouville quantum gravity metrics",2022,"https://doi.org/10.1112/plms.12492",1],[2,0.6369,0.385,"Low-depth arithmetic circuit lower bounds via shifted partials",2022,"https://arxiv.org/abs/2211.07691",1],[2,0.1677,-0.6444,"Primes in arithmetic progressions to large moduli, and shifted primes without large prime factors",2022,"https://arxiv.org/abs/2211.09641",4],[2,-0.6876,-0.3784,"Alexander Grothendieck — Pursuing Stacks, First Episode: The Modelizing Story — CJK Working Editions",2021,"https://arxiv.org/abs/2111.01000",1],[2,0.2806,-0.7375,"The categorical DT/PT correspondence and quasi-BPS categories for local surfaces",2026,"https://doi.org/10.1112/mod.2025.10017",1],[2,-0.2082,0.6232,"A dichotomy theory for the height functions of the BKT transition",2022,"https://arxiv.org/abs/2211.14365",3],[2,0.2089,-0.6292,"Algebraic dependence and Milnor K-theory",2022,"https://arxiv.org/abs/2211.14665",2],[2,-0.2571,0.585,"Regularity of the Schramm–Loewner evolution: Up-to-constant variation and modulus of continuity",2026,"https://doi.org/10.1214/25-aop1768",2],[2,0.064,-0.7861,"Rational $p$-adic Hodge theory for $d$-de Rham-proper stacks",2022,"https://doi.org/10.48550/arxiv.2211.17227",1],[2,0.2717,-0.7103,"Finiteness for Hecke algebras of 𝑝-adic groups",2023,"https://doi.org/10.1090/jams/1034",1],[2,0.7414,-0.3596,"Improved decoupling for the parabola",2022,"https://doi.org/10.4171/jems/1295",1],[2,-0.7674,-0.284,"The localized slice spectral sequence, norms of Real bordism, and the Segal conjecture",2022,"https://doi.org/10.1016/j.aim.2022.108804",1],[2,-0.261,0.6527,"Brownian half‐plane excursion and critical Liouville quantum gravity",2022,"https://doi.org/10.1112/jlms.12689",1],[2,0.5816,-0.5342,"Residual finiteness for central extensions of lattices in $\\operatorname{PU}(n,1)$ and negatively curved projective varieties",2022,"https://doi.org/10.4310/pamq.2022.v18.n4.a15",1],[2,0.2513,-0.697,"Interpolation determinants of exponential polynomials",2000,"https://doi.org/10.5486/pmd.2000.2310",1],[2,0.0241,-0.8514,"Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)",2022,"https://doi.org/10.1017/fms.2022.95",1],[2,0.174,-0.6409,"On pseudoprimes and Carmichael numbers",2022,"https://doi.org/10.5486/pmd.1956.4.3-4.16",2],[2,0.7888,0.3251,"Maximum Flow and Minimum-Cost Flow in Almost-Linear Time",2022,"https://doi.org/10.1109/focs54457.2022.00064",1],[2,-0.0366,0.7445,"The (Generalized) Orthogonality Dimension of (Generalized) Kneser Graphs: Bounds and Applications",2022,"https://doi.org/10.4086/toc.2022.v018a022",1],[2,0.4694,0.6974,"Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile",2023,"https://doi.org/10.1007/s00454-022-00426-4",1],[2,-0.1868,0.6184,"Percolation for 2D Classical Heisenberg Model and Exit Sets of Vector Valued GFF",2025,"https://doi.org/10.1007/s00220-024-05208-y",3],[2,-0.3878,0.6095,"Locality of percolation for graphs with polynomial growth",2023,"https://doi.org/10.1214/22-ecp508",1],[2,0.7465,-0.3863,"On the Bochner-Riesz operator in ℝ3",2023,"https://doi.org/10.1007/s11854-022-0263-y",1],[2,-0.4794,-0.5112,"Recent Results Concerning Topological Obstructions to Positive Scalar Curvature",2023,"https://doi.org/10.1142/9789811273230_0006",1],[2,-0.5156,-0.5774,"Four Lectures on Scalar Curvature",2019,"https://arxiv.org/abs/1908.10612",1],[2,-0.5258,0.3985,"The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning)",2013,"https://doi.org/10.4171/dm/421",3],[2,-0.6178,0.223,"Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS *",2023,"https://doi.org/10.1088/1361-6382/acb24b",3],[2,0.2236,-0.6747,"The cyclotomic Grothendieck-Teichmüller group and the motivic Galois group",2023,"https://arxiv.org/abs/2301.04064",1],[2,-0.3572,0.6563,"Sharp threshold sequence and universality for Ising perceptron models",2023,"https://doi.org/10.1137/1.9781611977554.ch28",1],[2,0.582,0.2828,"Improved Bi-point Rounding Algorithms and a Golden Barrier for k -Median",2023,"https://doi.org/10.1137/1.9781611977554.ch38",2],[2,0.7857,0.1491,"Faster Algorithm for Turn-based Stochastic Games with Bounded Treewidth",2023,"https://doi.org/10.1137/1.9781611977554.ch173",1],[2,0.3179,0.7564,"The 2-Page Crossing Number of $$K_{n}$$ K n",2013,"https://doi.org/10.1007/s00454-013-9514-0",1],[2,-0.1979,0.6171,"Bijecting the BKT transition",2023,"https://doi.org/10.48550/arxiv.2301.06905",5],[2,0.6333,0.1511,"Subset Sum in Time $2^{n/2} / poly(n)$",2023,"https://doi.org/10.4230/lipics.approx/random.2023.39",2],[2,0.168,0.8074,"Implicit State and Goals in QBF Encodings for Positional Games (extended version)",2023,"https://arxiv.org/abs/2301.07345",1],[2,0.0472,-0.7053,"On the modularity of elliptic curves over imaginary quadratic fields",2023,"https://arxiv.org/abs/2301.10509",1],[2,0.1241,-0.8559,"Mean squares of quadratic twists of the Möbius function",2023,"https://doi.org/10.1016/j.jnt.2022.12.007",1],[2,-0.4356,0.5036,"A complete classification of categoricity spectra of accessible categories with directed colimits",2023,"https://arxiv.org/abs/2301.13167",2],[2,0.4177,-0.5009,"On the Termination of Flips for Log Canonical Generalized Pairs",2023,"https://doi.org/10.1007/s10114-023-0116-3",7],[2,-0.7631,-0.0308,"The noncommutative factor theorem for lattices in product groups",2023,"https://doi.org/10.5802/jep.223",1],[2,0.6098,-0.4338,"Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems",2023,"https://doi.org/10.1007/s11005-023-01639-1",1],[2,0.3791,-0.6875,"The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero",2022,"https://arxiv.org/abs/2209.08732",1],[2,-0.7304,-0.0211,"Erratum to: \"The minimal exact crossed product\"",2021,"https://doi.org/10.4171/dm/851",1],[2,-0.6092,0.2004,"Obstruction-free gluing for the Einstein equations",2022,"https://arxiv.org/abs/2210.09663",2],[2,-0.48,0.5149,"Choiceless Polynomial Time with Witnessed Symmetric Choice",2022,"https://arxiv.org/abs/2205.14003",1],[2,0.3166,-0.5575,"Geometry of polarised varieties",2023,"https://doi.org/10.1007/s10240-022-00136-w",4],[2,0.6295,-0.4478,"Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\\mathbb{A}^2$",2022,"https://arxiv.org/abs/2209.05971",1],[2,0.765,-0.3724,"Improved local smoothing estimate for the wave equation in higher dimensions",2023,"https://doi.org/10.1016/j.jfa.2023.109879",1],[2,0.3172,-0.5642,"Existence of log canonical modifications and its applications",2023,"https://doi.org/10.1007/s40879-023-00598-0",3],[2,0.6483,-0.2806,"Rigidity and continuous extension for conformal maps of circle domains",2023,"https://doi.org/10.1090/tran/8923",1],[2,-0.7943,-0.3649,"Counterexamples in 4-manifold topology",2023,"https://doi.org/10.4171/emss/56",1],[2,0.2124,0.8248,"A proof of Ryser's circulant Hadamard conjecture",2023,"https://arxiv.org/abs/2302.08346",1],[2,0.6259,-0.4797,"Gromov–Witten theory of complete intersections via nodal invariants",2023,"https://doi.org/10.1112/topo.12284",1],[2,-0.6995,0.2375,"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|",2023,"https://doi.org/10.48550/arxiv.2302.08916",1],[2,-0.129,-0.7046,"Regularity of the One-phase Free Boundaries",2023,"https://doi.org/10.1007/978-3-031-13238-4",1],[2,0.1422,-0.7865,"Gaps between prime divisors and analogues in Diophantine geometry",2023,"https://doi.org/10.1017/s0017089522000398",1],[2,0.312,-0.5724,"On the log abundance for compact Kähler threefolds",2023,"https://doi.org/10.1007/s00229-023-01467-6",2],[2,0.078,-0.7629,"Counting rational points on projective varieties",2023,"https://doi.org/10.1112/plms.12508",1],[2,0.6738,0.4388,"Stochastic Interpolants: A Unifying Framework for Flows and Diffusions",2023,"https://arxiv.org/abs/2303.08797",1],[2,0.6252,-0.4453,"Zonotopal Algebras, Orbit Harmonics, and Donaldson–Thomas Invariants of Symmetric Quivers",2023,"https://doi.org/10.1093/imrn/rnad033",1],[2,-0.3495,-0.5534,"Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature",2023,"https://doi.org/10.1007/s00526-023-02456-z",2],[2,-0.5778,0.4619,"Kervaire conjecture on weight of group via fundamental group of ribbon sphere-link",2023,"https://arxiv.org/abs/2303.13728",1],[2,-0.6854,-0.2092,"The Geometrical Lemma for Smooth Representations in Natural Characteristic",2023,"https://arxiv.org/abs/2303.14721",1],[2,-0.6741,-0.3521,"Quillen's conjecture and unitary groups",2023,"https://doi.org/10.48550/arxiv.2303.15613",1],[2,-0.7779,0.3277,"The Structure of Density-Potential Mapping. Part I: Standard Density-Functional Theory",2023,"https://doi.org/10.1021/acsphyschemau.2c00069",1],[2,0.4563,0.737,"Structure of cell decompositions in Extremal Szemerédi-Trotter examples",2023,"https://arxiv.org/abs/2303.17186",1],[2,-0.6413,-0.086,"Crossed Product Equivalence of Quantum Automorphism Groups of Finite Dimensional C*-Algebras",2023,"https://doi.org/10.1093/imrn/rnad060",2],[2,-0.7017,0.0296,"On tracial -stability of simple non-unital -algebras",2023,"https://doi.org/10.4153/s0008414x23000202",1],[2,0.2094,0.6998,"Coboundary and Cosystolic Expansion Without Dependence on Dimension or Degree",2023,"https://doi.org/10.4230/lipics.approx/random.2024.62",1],[2,-0.1048,-0.8131,"On stability of self-similar blowup for mass supercritical NLS",2023,"https://arxiv.org/abs/2304.02078",1],[2,-0.6106,0.2412,"The free energy of dilute Bose gases at low temperatures",2023,"https://arxiv.org/abs/2304.02405",2],[2,-0.2046,0.7128,"Excursion decomposition of the 2D continuum GFF",2023,"https://doi.org/10.48550/arxiv.2304.03150",1],[2,0.3674,-0.5264,"Families of Varieties of General Type",2023,"https://doi.org/10.1017/9781009346115",8],[2,-0.3082,0.7525,"Equivalence of Liouville measure and Gaussian free field",2023,"https://doi.org/10.1214/22-aihp1280",1],[2,0.236,-0.7549,"Diophantische Approximationen",2023,"https://doi.org/10.4171/owr/2022/21",1],[2,0.3433,0.5778,"Breaking the degeneracy barrier for coloring graphs with no K minor",2023,"https://doi.org/10.1016/j.aim.2023.109020",2],[2,0.0382,0.8553,"Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules",2023,"https://doi.org/10.1090/tran/8964",1],[2,0.3953,0.735,"The chromatic number of the plane with an interval of forbidden distances is at least 7",2023,"https://arxiv.org/abs/2304.10163",1],[2,0.3249,-0.5861,"Erratum and addendum to the paper: Abundance for Kähler threefolds",2023,"https://doi.org/10.48550/arxiv.2304.10161",3],[2,-0.7319,-0.2472,"Chromatic Homotopy is Monoidally Algebraic at Large Primes",2023,"https://arxiv.org/abs/2304.14457",1],[2,0.3772,-0.536,"MMP for Generalized Pairs on K\\\"ahler 3-folds",2026,"https://doi.org/10.2422/2036-2145.202506_004",5],[2,-0.0459,0.6489,"A tensor-cube version of the Saxl conjecture",2023,"https://doi.org/10.5802/alco.267",2],[2,-0.747,-0.3365,"The coarse Baum–Connes conjecture for certain relative expanders",2023,"https://doi.org/10.1016/j.aim.2023.109047",1],[2,-0.3042,-0.6735,"Stable homotopy groups of spheres: from dimension 0 to 90",2023,"https://doi.org/10.1007/s10240-023-00139-1",1],[2,-0.1158,0.8337,"On the inductive blockwise Alperin weight condition for type A",2023,"https://doi.org/10.1016/j.jalgebra.2023.04.025",1],[2,-0.7195,-0.1583,"Can you take Akemann–Weaver's ⋄ℵ1 away?",2023,"https://doi.org/10.1016/j.jfa.2023.110017",1],[2,0.6763,0.244,"On the $$\\Phi $$-stability and related conjectures",2023,"https://doi.org/10.1007/s00440-023-01209-5",1],[2,-0.7028,0.0997,"Haploid Algebras in $$C^*$$-Tensor Categories and the Schellekens List",2023,"https://doi.org/10.1007/s00220-023-04722-9",1],[2,0.6301,0.1368,"Faster Walsh-Hadamard and Discrete Fourier Transforms from Matrix Non-rigidity",2023,"https://doi.org/10.1145/3564246.3585188",2],[2,0.7095,0.1101,"Approximating Iterated Multiplication of Stochastic Matrices in Small Space",2023,"https://doi.org/10.1145/3564246.3585181",1],[2,0.7847,0.3158,"Dynamic Maxflow via Dynamic Interior Point Methods",2023,"https://doi.org/10.1145/3564246.3585135",1],[2,0.6109,0.2028,"The Randomized 𝑘-Server Conjecture Is False!",2023,"https://doi.org/10.1145/3564246.3585132",2],[2,-0.6438,0.1578,"Concentration bounds for quantum states and limitations on the QAOA from polynomial approximations",2023,"https://doi.org/10.22331/q-2023-05-11-999",2],[2,-0.6955,-0.4816,"On a variant of the Grothendieck inequality and estimates on tensor product norms",2023,"https://arxiv.org/abs/2305.13270",1],[2,0.0592,-0.8608,"Correction to the article Height bounds and the Siegel property",2023,"https://doi.org/10.2140/ant.2023.17.1231",1],[2,0.6418,0.0395,"Pseudorandom sets in Grassmann graph have near-perfect expansion",2023,"https://doi.org/10.4007/annals.2023.198.1.1",5],[2,-0.7584,0.1068,"Energy bounds for vertex operator algebra extensions",2023,"https://doi.org/10.1007/s11005-023-01682-y",1],[2,0.4682,0.6694,"A new upper bound for the Heilbronn triangle problem",2023,"https://arxiv.org/abs/2305.18253",1],[2,0.3136,-0.57,"Singularities on Fano fibrations and beyond",2023,"https://arxiv.org/abs/2305.18770",6],[2,-0.6037,0.2352,"Bose-Einstein condensation of interacting bosons: A two-step proof",2023,"https://doi.org/10.48550/arxiv.2305.18959",3],[2,0.4131,-0.7204,"Semi-ampleness of NQC generalized log canonical pairs",2023,"https://doi.org/10.1016/j.aim.2023.109126",1],[2,0.5724,0.4901,"On preparation theorems for Ran, exp-definable functions",2023,"https://doi.org/10.4115/jla.2023.15.1",1],[2,0.3065,-0.5613,"On the Log Abundance for Compact {K{ä}hler} threefolds II",2023,"https://arxiv.org/abs/2306.00671",2],[2,0.0571,-0.8714,"Modularity of $\\mathrm{GL}_2 (\\mathbb{F}_p)$-representations over CM fields",2023,"https://doi.org/10.4310/cjm.2023.v11.n1.a1",1],[2,0.5654,-0.5169,"Reductive Shafarevich Conjecture",2023,"https://doi.org/10.48550/arxiv.2306.03070",1],[2,-0.3824,0.6445,"Local convexity of the TAP free energy and AMP convergence for Z2-synchronization",2023,"https://doi.org/10.1214/23-aos2257",1],[2,0.6546,-0.5202,"The Geometry of Cubic Hypersurfaces",2023,"https://doi.org/10.1017/9781009280020",1],[2,0.1392,-0.8069,"Large prime gaps and probabilistic models",2023,"https://doi.org/10.1007/s00222-023-01199-0",1],[2,0.5927,0.5216,"Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum",2023,"https://doi.org/10.3934/dcds.2023063",1],[2,-0.8175,-0.0117,"Radius of comparison and mean topological dimension: -actions",2023,"https://doi.org/10.4153/s0008414x2300038x",1],[2,0.4071,-0.7266,"On the Minimal Model Program for Kähler 3-folds",2023,"https://arxiv.org/abs/2306.11708",1],[2,0.8015,-0.3482,"Quantitative differentiability on uniformly rectifiable sets",2023,"https://arxiv.org/abs/2306.13017",1],[2,0.6518,-0.2841,"Uniformly rectifiable metric spaces: Lipschitz images, Bi-Lateral Weak Geometric Lemma and Corona Decompositions",2023,"https://arxiv.org/abs/2306.12933",1],[2,0.5779,-0.3208,"Factorization in Fourier restriction theory and near extremizers",2023,"https://doi.org/10.1002/mana.202200173",2],[2,0.0454,-0.6552,"The large Galois orbits conjecture under multiplicative degeneration",2023,"https://arxiv.org/abs/2306.13463",3],[2,-0.4329,-0.4688,"Spectral Torical Band Inequalities and Generalizations of the Schoen–Yau Black Hole Existence Theorem",2023,"https://doi.org/10.1093/imrn/rnad129",2],[2,0.616,-0.474,"Quantum cohomology of projective bundles",2023,"https://arxiv.org/abs/2307.03696",1],[2,-0.2125,-0.8026,"Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold",2023,"https://doi.org/10.1088/1361-6420/ace649",1],[2,0.4874,-0.6132,"Abundance for threefolds in positive characteristic when $ν=2$",2023,"https://arxiv.org/abs/2307.03938",1],[2,-0.2581,0.6569,"Weyl's law in Liouville quantum gravity",2023,"https://doi.org/10.48550/arxiv.2307.05407",1],[2,0.2736,0.75,"Seymour's Second Neighborhood Conjecture for orientations of (pseudo)random graphs",2023,"https://doi.org/10.1016/j.disc.2023.113583",1],[2,0.0077,-0.7289,"Integral points on coarse Hilbert moduli schemes",2023,"https://arxiv.org/abs/2307.06944",1],[2,-0.0844,-0.7547,"The Strong-Interaction Limit of Density Functional Theory",2022,"https://doi.org/10.1007/978-3-031-22340-2_4",1],[2,0.4876,0.6624,"Monochromatic Sums and Products over $\\mathbb{Q}$",2023,"https://arxiv.org/abs/2307.08901",1],[2,-0.8259,0.1222,"Correction to: Local Energy Bounds and Strong Locality in Chiral CFT",2023,"https://doi.org/10.1007/s00220-023-04791-w",1],[2,0.5896,-0.475,"Quantum cohomology of blowups",2023,"https://arxiv.org/abs/2307.13555",1],[2,-0.2132,0.6959,"The Variational Problem and Background Field in the Renormalization Group Method for Nonlinear Sigma Models",2023,"https://doi.org/10.1007/s00023-023-01353-7",1],[2,0.3186,-0.5844,"Derivative of volumes of big cohomology classes",2023,"https://arxiv.org/abs/2307.15909",2],[2,0.1011,-0.8261,"Cell decomposition and dual boundary complexes of character varieties",2026,"https://doi.org/10.1016/j.aim.2026.111043",1],[2,-0.2259,0.7057,"Statistical reconstruction of the GFF and KT transition",2023,"https://doi.org/10.4171/jems/1288",1],[2,0.1335,-0.7667,"Sharper bounds for the error term in the prime number theorem",2023,"https://doi.org/10.1007/s40993-023-00454-w",1],[2,-0.0384,0.783,"Construction of storage codes of rate approaching one on triangle-free graphs",2023,"https://doi.org/10.1007/s10623-023-01278-6",1],[2,-0.4418,-0.4849,"On the waist and width inequality in complete 3-manifolds with positive scalar curvature",2026,"https://doi.org/10.4310/cjm.260514230515",3],[2,0.1978,0.619,"A proof of the Kahn–Kalai conjecture",2023,"https://doi.org/10.1090/jams/1028",3],[2,-0.611,0.222,"Nonexistence of solutions to the coupled generalized Jang equation/zero divergence system",2023,"https://doi.org/10.1088/1361-6382/acf17f",2],[2,0.5624,-0.6383,"On the behavior of the Kodaira dimension under smooth morphisms",2023,"https://doi.org/10.14231/ag-2023-021",1],[2,0.5738,-0.2969,"Furstenberg sets estimate in the plane",2023,"https://doi.org/10.48550/arxiv.2308.08819",4],[2,0.501,0.1145,"On the curved Trilinear Hilbert transform",2023,"https://arxiv.org/abs/2308.10706",2],[2,0.0587,-0.7065,"Some Cases of the Zilber–Pink Conjecture for Curves in 𝒜g",2023,"https://doi.org/10.1093/imrn/rnad201",1],[2,-0.2977,0.7448,"Critical Liouville quantum gravity and CLE$_4$",2023,"https://arxiv.org/abs/2308.11835",1],[2,0.6137,0.1901,"Compressing CFI Graphs and Lower Bounds for the Weisfeiler-Leman Refinements",2025,"https://doi.org/10.1145/3727978",4],[2,-0.0621,0.7336,"Splitting Kronecker squares, 2-decomposition numbers, Catalan combinatorics, and the Saxl conjecture",2023,"https://doi.org/10.5802/alco.294",1],[2,-0.6514,0.4174,"Ulam stability of lamplighters and Thompson groups",2023,"https://doi.org/10.1007/s00208-023-02708-5",1],[2,-0.6508,-0.32,"Hyperbolic groups and local connectivity",2023,"https://arxiv.org/abs/2308.14964",1],[2,0.6928,0.268,"On k-Mer-Based and Maximum Likelihood Estimation Algorithms for Trace Reconstruction",2023,"https://arxiv.org/abs/2308.14993",1],[2,0.3421,0.6386,"On Sárközy’s theorem for shifted primes",2023,"https://doi.org/10.1090/jams/1036",1],[2,0.4426,0.5719,"An improvement to the Kelley-Meka bounds on three-term arithmetic progressions",2023,"https://arxiv.org/abs/2309.02353",1],[2,0.6301,-0.3232,"On the Fourier decay of multiplicative convolutions",2023,"https://arxiv.org/abs/2309.03068",1],[2,0.7547,-0.3467,"New improvement to Falconer distance set problem in higher dimensions",2023,"https://arxiv.org/abs/2309.04103",1],[2,0.6541,-0.2939,"Discretized Radial Projections in $\\mathbb{R}^d$",2023,"https://arxiv.org/abs/2309.04097",1],[2,-0.525,0.3983,"Hyperbolic groups satisfy the Boone–Higman conjecture",2026,"https://doi.org/10.1215/00127094-2025-0055",2],[2,0.269,0.6506,"Crossing numbers of complete bipartite graphs",2023,"https://doi.org/10.1016/j.procs.2023.08.216",1],[2,-0.8638,-0.0199,"The radius of comparison of $C (X)$",2023,"https://arxiv.org/abs/2309.08786",1],[2,0.2632,-0.6841,"The Jacobson–Morozov Morphism for Langlands Parameters in the Relative Setting",2023,"https://doi.org/10.1093/imrn/rnad217",1],[2,0.707,-0.2557,"A remark on the maximal function associated to an analytic vector field",1989,"https://doi.org/10.1017/cbo9780511662294.006",1],[2,-0.1722,0.5393,"Spectrum of random d‐regular graphs up to the edge",2023,"https://doi.org/10.1002/cpa.22176",3],[2,0.6262,0.2182,"Black-Box Identity Testing of Noncommutative Rational Formulas in Deterministic Quasipolynomial Time",2026,"https://doi.org/10.1137/24m1689508",3],[2,0.3883,-0.6727,"Existence of flips for generalized $\\operatorname{lc}$ pairs",2023,"https://doi.org/10.4310/cjm.2023.v11.n4.a1",1],[2,0.8657,-0.0985,"The Local Logarithmic Brunn-Minkowski Inequality for Zonoids",2023,"https://doi.org/10.1007/978-3-031-26300-2_14",1],[2,0.7874,0.3154,"A Deterministic Almost-Linear Time Algorithm for Minimum-Cost Flow",2023,"https://doi.org/10.48550/arxiv.2309.16629",1],[2,0.5715,-0.6278,"Erratum to the paper: Asymptotic Invariants of Base Loci",2023,"https://arxiv.org/abs/2309.16722",1],[2,-0.7846,-0.1614,"Around traces and quasitraces",2023,"https://arxiv.org/abs/2309.17412",1],[2,-0.6906,-0.2068,"Relative $p$-adic Hodge theory : Foundations",2018,"https://doi.org/10.24033/ast.957",1],[2,-0.61,-0.2054,"Exotic Picard groups and chromatic vanishing via the Gross-Hopkins duality",2023,"https://doi.org/10.1016/j.topol.2023.108742",3],[2,0.6182,-0.1818,"Large Sets Avoiding Affine Copies of Infinite Sequences",2023,"https://doi.org/10.14321/realanalexch.48.2.1681628520",2],[2,0.0887,-0.764,"Integrality of the Betti moduli space",2023,"https://doi.org/10.1090/tran/8928",1],[2,-0.3655,0.656,"Un-inverting the Parisi formula",2025,"https://doi.org/10.1214/24-aihp1487",1],[2,-0.6798,0.543,"Equations over solvable groups",2023,"https://doi.org/10.1016/j.jalgebra.2023.10.004",1],[2,-0.5535,0.5817,"Cardinal Well-foundedness and Choice",2023,"https://arxiv.org/abs/2310.09643",1],[2,-0.2677,0.7007,"Non-linear Log-Sobolev Inequalities for the Potts Semigroup and Applications to Reconstruction Problems",2023,"https://doi.org/10.1007/s00220-023-04851-1",1],[2,-0.7863,0.0016,"A characterization of the Razak–Jacelon algebra",2023,"https://doi.org/10.2140/apde.2023.16.1799",1],[2,-0.8186,-0.2418,"The left adjoint of derived parabolic induction",2023,"https://doi.org/10.1007/s00209-023-03385-5",1],[2,0.7002,-0.4895,"The integrality conjecture and the cohomology of preprojective stacks",2023,"https://doi.org/10.1515/crelle-2023-0065",1],[2,0.32,-0.582,"On Effective Log Iitaka Fibrations and Existence of Complements",2023,"https://doi.org/10.1093/imrn/rnad253",2],[2,0.537,-0.5925,"Oka tubes in holomorphic line bundles",2024,"https://doi.org/10.1007/s00208-024-03051-z",1],[2,-0.7796,-0.2663,"$K$-theoretic counterexamples to Ravenel's telescope conjecture",2023,"https://arxiv.org/abs/2310.17459",1],[2,0.0838,-0.8286,"Squarefree Values Of Polynomials",2023,"https://doi.org/10.48550/arxiv.2310.16952",1],[2,-0.2758,0.6012,"Quantitative sub-ballisticity of self-avoiding walk on the hexagonal lattice",2026,"https://doi.org/10.1214/24-aop1730",3],[2,0.2078,-0.6227,"Boundedness of regular del Pezzo surfaces over imperfect fields",2023,"https://doi.org/10.1007/s00229-023-01517-z",2],[2,0.6026,-0.4828,"Factorization centers in dimension 2 and the Grothendieck ring of varieties",2023,"https://doi.org/10.14231/ag-2023-024",1],[2,0.1738,-0.643,"Improved bounds for the two-point logarithmic Chowla conjecture",2026,"https://doi.org/10.1090/jams/1084",4],[2,-0.779,0.0307,"Tracially Complete C*-Algebras",2023,"https://arxiv.org/abs/2310.20594",1],[2,0.0014,-0.782,"Horizontal $p$-adic $L$-functions",2023,"https://arxiv.org/abs/2310.20678",1],[2,-0.6401,-0.0206,"Wreath-like products of groups and their von Neumann algebras I: W^∗-superrigidity",2023,"https://doi.org/10.4007/annals.2023.198.3.6",2],[2,0.1158,-0.7621,"Sur la fonction ζ (s) de Riemann et le nombre des nombres premiers inférieurs à une limite donnée",1899,"https://doi.org/10.3406/marb.1899.2449",1],[2,0.2385,-0.5964,"Maximal Orders",2003,"https://doi.org/10.1093/oso/9780198526735.001.0001",2],[2,0.2495,-0.7682,"Free Lie Algebras",1993,"https://doi.org/10.1093/oso/9780198536796.001.0001",1],[2,0.4445,-0.6332,"Hodge similarities, algebraic classes, and Kuga–Satake varieties",2023,"https://doi.org/10.1007/s00209-023-03390-8",1],[2,-0.7159,-0.2242,"The Spk,n–local stable homotopy category",2023,"https://doi.org/10.2140/agt.2023.23.3655",1],[2,0.3479,0.74,"On triangle-free list assignments",2023,"https://doi.org/10.1016/j.disc.2023.113779",1],[2,0.0974,0.131,"An entropic generalization of Caffarelli’s contraction theorem via covariance inequalities",2023,"https://doi.org/10.5802/crmath.486",2],[2,-0.0592,0.6358,"A Fischer type decomposition theorem from the apolar inner product",2023,"https://doi.org/10.1007/s13324-023-00844-4",2],[2,0.0271,0.7066,"Left–right symmetry of finite finitistic dimension",2023,"https://doi.org/10.1112/blms.12954",1],[2,-0.1715,-0.7643,"Long time justification of wave turbulence theory",2023,"https://arxiv.org/abs/2311.10082",1],[2,0.3977,0.7156,"The fractional chromatic number of the plane is at least 4",2023,"https://arxiv.org/abs/2311.10069",1],[2,0.3294,0.7675,"New lower bounds on crossing numbers of $$K_{m,n}$$ from semidefinite programming",2023,"https://doi.org/10.1007/s10107-023-02028-1",1],[2,-0.3434,0.6226,"Frozen 1‐RSB structure of the symmetric Ising perceptron",2023,"https://doi.org/10.1002/rsa.21202",1],[2,-0.4231,-0.7282,"The Cayley hyperbolic space and volume entropy rigidity",2023,"https://doi.org/10.1007/s00209-023-03398-0",1],[2,-0.2472,-0.5951,"Upper Bounds on the Size of Nodal Sets for Gevrey and Quasianalytic Riemannian Manifolds",2023,"https://doi.org/10.1007/s00220-023-04853-z",2],[2,-0.2116,0.6719,"Lattice Green functions for pedestrians: Exponential decay",2023,"https://doi.org/10.1142/s0129055x2430005x",1],[2,-0.6802,-0.2549,"Beta families arising from a v29 self-map on S∕(3,v18)",2023,"https://doi.org/10.2140/agt.2023.23.4349",1],[2,0.2405,-0.6159,"On the generalized Ramanujan and Arthur conjectures over function fields",2026,"https://doi.org/10.4007/annals.2026.204.2.3",2],[2,0.426,-0.4781,"The Nonvanishing Problem for varieties with nef anticanonical bundle",2023,"https://doi.org/10.4171/dm/936",7],[2,-0.6589,-0.075,"Free-independent sequences in type $II_1$ factors and related problems",2018,"https://doi.org/10.24033/ast.318",3],[2,0.0154,-0.6489,"Selmer Complexes",2018,"https://doi.org/10.24033/ast.717",2],[2,-0.3469,0.5697,"A Spherical Bound for the Sherrington-Kirkpatrick Model",2018,"https://doi.org/10.24033/ast.331",4],[2,0.1756,0.7461,"Towards the Erdős-Gallai cycle decomposition conjecture",2023,"https://doi.org/10.1016/j.aim.2023.109434",1],[2,-0.3016,-0.8151,"On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces",2023,"https://doi.org/10.48550/arxiv.2312.02106",1],[2,0.4091,-0.5774,"Integral Picard group of moduli of polarized K3 surfaces",2023,"https://doi.org/10.1112/blms.12968",1],[2,-0.0235,0.7488,"Accompanying code to \"Non-trivial units of complex group rings\"",2023,"https://arxiv.org/abs/2312.05240",1],[2,0.8019,0.1382,"Beyond the Existential Theory of the Reals",2023,"https://doi.org/10.1007/s00224-023-10151-x",1],[2,-0.4159,-0.6699,"Calabi flow with bounded $L^p$ scalar curvature",2023,"https://arxiv.org/abs/2312.05816",1],[2,0.2021,0.7523,"KKL’s influence on me",2023,"https://doi.org/10.4171/icm2022/78",1],[2,0.1222,-0.8379,"Moments and one level density of sextic Hecke $L$-functions",2023,"https://doi.org/10.7169/facm/2057",1],[2,0.2294,-0.6648,"A Torelli-like theorem for higher-dimensional function fields",2023,"https://doi.org/10.4171/jems/1382",1],[2,0.0535,0.8414,"Lim Ulrich sequences and Boij-Söderberg cones",2023,"https://doi.org/10.1017/fms.2023.108",1],[2,0.487,0.6254,"Efficient Equidistribution of Nilsequences",2023,"https://arxiv.org/abs/2312.10772",1],[2,-0.6075,0.4114,"On parabolic subgroups of Artin groups",2023,"https://doi.org/10.1007/s11856-023-2597-2",1],[2,-0.212,-0.8387,"Scattering map for the Vlasov-Maxwell system around source-free electromagnetic fields",2023,"https://arxiv.org/abs/2312.12214",1],[2,0.2066,0.6029,"Thin Trees for Laminar Families",2023,"https://doi.org/10.1109/focs57990.2023.00011",2],[2,0.6374,0.1363,"Faster Matrix Multiplication via Asymmetric Hashing",2023,"https://doi.org/10.1109/focs57990.2023.00130",3],[2,0.3906,0.5141,"Strong Bounds for 3-Progressions",2023,"https://doi.org/10.1109/focs57990.2023.00059",2],[2,0.7967,0.1306,"Certified Hardness vs. Randomness for Log-Space",2023,"https://doi.org/10.1109/focs57990.2023.00061",1],[2,0.5139,0.6923,"Explicit improvements of the Brun-Titchmarsh theorem for arbitrary intervals",2023,"https://arxiv.org/abs/2312.16090",1],[2,-0.3758,-0.5937,"On Arnold's Transversality Conjecture for the Laplace--Beltrami Operator",2023,"https://arxiv.org/abs/2312.16939",1],[2,0.3261,-0.7857,"Ranks of matrices of logarithms of algebraic numbers, I : The theorems of Baker and Waldschmidt–Masser",2023,"https://doi.org/10.2140/ent.2023.2.93",1],[2,0.4736,0.6247,"The Kelley–Meka bounds for sets free of three-term arithmetic progressions",2023,"https://doi.org/10.2140/ent.2023.2.15",1],[2,-0.5659,-0.4864,"Remarks on the point character of Banach spaces and non-linear embeddings into~$c_0(\\Ga)$",2024,"https://arxiv.org/abs/2401.00831",1],[2,0.6434,0.1359,"New Bounds for Matrix Multiplication: from Alpha to Omega",2024,"https://doi.org/10.1137/1.9781611977912.134",3],[2,-0.7274,0.1204,"Efficient Quantum State Synthesis with One Query",2024,"https://doi.org/10.1137/1.9781611977912.89",1],[2,0.7669,-0.1243,"A 2-approximation for the bounded treewidth sparsest cut problem in $$\\textsf{FPT}$$ Time",2024,"https://doi.org/10.1007/s10107-023-02044-1",1],[2,-0.2272,-0.7963,"On Calderon's problem for the connection Laplacian",2024,"https://doi.org/10.1017/prm.2023.127",1],[2,0.5455,-0.5525,"Geometry of the logarithmic Hodge moduli space",2024,"https://doi.org/10.1112/jlms.12857",1],[2,0.3574,0.6806,"An explicit version of Bombieri’s log-free density estimate and Sárközy’s theorem for shifted primes",2024,"https://doi.org/10.1515/forum-2023-0091",1],[2,0.4795,-0.5525,"Invariance of the tame fundamental group under base change between algebraically closed fields",2024,"https://doi.org/10.2140/ent.2024.3.1",1],[2,-0.8007,0.0274,"Tracial oscillation zero and Z-stability",2024,"https://doi.org/10.1016/j.aim.2023.109462",1],[2,-0.6468,0.5059,"Finite presentability of twisted Brin–Thompson groups",2024,"https://doi.org/10.1017/prm.2024.131",1],[2,0.5162,-0.6224,"On the metric Kollár-Pardon problem",2024,"https://arxiv.org/abs/2401.07983",1],[2,0.438,-0.4937,"Hodge modules and Kähler morphisms",2024,"https://arxiv.org/abs/2401.09544",2],[2,-0.4144,0.7568,"Tractability from overparametrization: the example of the negative perceptron",2024,"https://doi.org/10.1007/s00440-023-01248-y",1],[2,-0.3791,0.6224,"The least singular value of a random symmetric matrix",2024,"https://doi.org/10.1017/fmp.2023.29",1],[2,-0.3402,0.5503,"A reduction of the $θ(p_c) = 0$ problem to a conjectured inequality",2024,"https://doi.org/10.48550/arxiv.2401.12397",2],[2,-0.6748,-0.2692,"A note on the action of the primitive Milnor operations on the Dickson invariants",2020,"https://arxiv.org/abs/2001.02138",1],[2,-0.4214,0.711,"The two point function of the SK model without external field at high temperature",2024,"https://doi.org/10.2140/pmp.2024.5.131",1],[2,-0.1727,0.6456,"Macroscopic behavior of Lipschitz random surfaces",2024,"https://doi.org/10.2140/pmp.2024.5.177",2],[2,0.5931,-0.3072,"Kaufman and Falconer Estimates for Radial Projections and a Continuum Version of Beck’s Theorem",2024,"https://doi.org/10.1007/s00039-024-00660-3",4],[2,-0.6228,-0.1858,"On the rationalization of the $K(n)$-local sphere",2024,"https://arxiv.org/abs/2402.00960",4],[2,0.5213,-0.5988,"Log canonical inversion of adjunction",2024,"https://doi.org/10.3792/pjaa.100.002",1],[2,0.6352,0.124,"Smoothed Analysis of Deterministic Discounted and Mean-Payoff Games",2024,"https://doi.org/10.4230/lipics.icalp.2024.147",2],[2,0.6031,-0.6153,"ACC for generalized log canonical thresholds for complex analytic spaces",2024,"https://doi.org/10.1007/s11425-023-2260-4",1],[2,0.0497,-0.8195,"Local-global compatibility for regular algebraic cuspidal automorphic representations when",2024,"https://doi.org/10.1017/fms.2024.7",1],[2,-0.7783,-0.076,"Ergodic states on type III1 factors and ergodic actions",2024,"https://doi.org/10.1515/crelle-2024-0007",1],[2,0.1777,-0.6122,"Large prime factors of well-distributed sequences",2026,"https://doi.org/10.4153/s0008439526101982",2],[2,0.6198,0.1913,"Computational Complexity of the Weisfeiler-Leman Dimension",2024,"https://doi.org/10.4230/lipics.csl.2025.13",3],[2,0.7555,0.1962,"Improved Space Bounds for Subset Sum",2024,"https://doi.org/10.4230/lipics.esa.2024.21",1],[2,0.0206,-0.7469,"On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction",2024,"https://arxiv.org/abs/2402.12781",1],[2,0.1866,-0.5663,"On tori periods of Weil representations of unitary groups",2025,"https://doi.org/10.1007/s00029-025-01047-4",2],[2,0.4085,-0.5089,"NOTE ON THE THREE-DIMENSIONAL LOG CANONICAL ABUNDANCE IN CHARACTERISTIC $>3$",2024,"https://doi.org/10.1017/nmj.2024.3",2],[2,-0.1149,-0.7561,"A Variational Approach to the Hot Spots Conjecture",2024,"https://doi.org/10.1007/978-3-031-48579-4_4",1],[2,-0.6954,0.4941,"Uniform negative immersions and the coherence of one-relator groups",2024,"https://doi.org/10.1007/s00222-024-01246-4",1],[2,-0.7608,0.1077,"Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules",2024,"https://doi.org/10.1007/s00220-024-04959-y",1],[2,-0.4469,-0.4928,"Generalized soap bubbles and the topology of manifolds with positive scalar curvature",2024,"https://doi.org/10.4007/annals.2024.199.2.3",4],[2,0.2571,0.5948,"The asymptotics of r(4,t)",2024,"https://doi.org/10.4007/annals.2024.199.2.8",2],[2,0.3335,-0.5588,"Boundedness of klt complements on Fano fibrations over surfaces",2024,"https://arxiv.org/abs/2403.01154",2],[2,-0.7144,-0.3024,"A symplectic Hilbert-Smith conjecture",2024,"https://arxiv.org/abs/2403.07195",1],[2,-0.4261,-0.7369,"SRB and Equilibrium Measures via Dimension Theory",2024,"https://doi.org/10.1017/9781009278898.005",1],[2,0.8148,0.2446,"Local Enumeration and Majority Lower Bounds",2024,"https://doi.org/10.4230/lipics.ccc.2024.17",1],[2,-0.3237,0.551,"Spectral gap estimates for mixed p-spin models at high temperature",2024,"https://doi.org/10.1007/s00440-024-01261-9",2],[2,0.2157,-0.7799,"An Explicit Vinogradov–Korobov Zero-Free Region for Dirichlet L-Functions",2024,"https://doi.org/10.1093/qmath/haae010",1],[2,0.3842,-0.5121,"On the 4-dimensional minimal model program for Kähler varieties",2024,"https://doi.org/10.1016/j.aim.2024.109615",6],[2,-0.4328,-0.6313,"Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow",2024,"https://doi.org/10.1090/memo/1470",1],[2,0.0825,-0.7495,"Square-free values of random polynomials",2024,"https://doi.org/10.1016/j.jnt.2024.02.013",1],[2,0.7642,-0.0285,"A matrix version of the Steinitz lemma",2024,"https://doi.org/10.1515/crelle-2024-0008",1],[2,0.3348,0.716,"A remark on the Ramsey number of the hypercube",2024,"https://doi.org/10.1016/j.ejc.2024.103954",1],[2,0.6681,-0.437,"On Classification of Compact Complex Surfaces of Class VII",2025,"https://doi.org/10.1007/978-3-031-92297-8_7",1],[2,-0.1775,0.7277,"Connection probabilities of multiple FK-Ising interfaces",2024,"https://doi.org/10.1007/s00440-024-01269-1",1],[2,0.289,-0.7548,"Modular curves and Néron models of generalized Jacobians",2024,"https://doi.org/10.1112/s0010437x23007662",1],[2,0.4941,-0.5874,"A Hilbert metric for bounded symmetric domains",2025,"https://doi.org/10.1515/advgeom-2025-0015",1],[2,-0.704,0.4928,"On the cohomological dimension of kernels of maps to ℤ",2026,"https://doi.org/10.2140/gt.2026.30.373",1],[2,-0.5349,0.597,"Part 1 of Martin’s Conjecture for order-preserving and measure-preserving functions",2024,"https://doi.org/10.1090/jams/1046",1],[2,0.29,-0.6581,"Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation",2024,"https://doi.org/10.1090/memo/1475",1],[2,0.5261,0.4776,"Positive topological entropy for the Standard Map",2024,"https://arxiv.org/abs/2404.02209",1],[2,-0.613,0.2245,"Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar",2024,"https://doi.org/10.4310/jdg/1712344222",3],[2,-0.7048,0.4293,"Problems on the geometry of finitely generated solvable groups",2000,"https://arxiv.org/abs/math/0005184",1],[2,0.602,-0.4852,"On the Locus of Hodge Classes",1994,"https://arxiv.org/abs/alg-geom/9402009",1],[2,-0.3041,-0.6971,"String Topology",1999,"https://arxiv.org/abs/math/9911159",1],[2,-0.6611,-0.0251,"Quasitraces on exact C*-algebras are traces",2014,"https://arxiv.org/abs/1403.7653",4],[2,-0.743,-0.2726,"Symmetric spectra",1998,"https://arxiv.org/abs/math/9801077",1],[2,0.4544,-0.616,"Virtual pull-backs",2008,"https://arxiv.org/abs/0805.2065",1],[2,0.3952,-0.6862,"F-adjunction",2009,"https://arxiv.org/abs/0901.1154",1],[2,0.0459,0.7272,"Hilbert-Kunz multiplicities and the F-signature",2014,"https://arxiv.org/abs/1409.0467",1],[2,0.4926,-0.6874,"Cyclic coverings, Calabi-Yau manifolds and Complex multiplication",2007,"https://arxiv.org/abs/0711.2195",1],[2,0.39,0.7088,"On the question of ergodicity for minimal group actions on the circle",2008,"https://arxiv.org/abs/0806.1974",1],[2,0.5467,-0.5488,"The Decomposition Theorem and the topology of algebraic maps",2007,"https://arxiv.org/abs/0712.0349",1],[2,-0.5788,0.2815,"Random Walks and Electric Networks",2000,"https://arxiv.org/abs/math/0001057",2],[2,-0.451,-0.7429,"On the Calabi flow",2006,"https://arxiv.org/abs/math/0603523",1],[2,0.4302,-0.4845,"The Picard scheme",2005,"https://arxiv.org/abs/math/0504020",5],[2,-0.5952,0.1502,"The similarity degree of an operator algebra",1997,"https://arxiv.org/abs/math/9706211",2],[2,0.4864,-0.4594,"Singularities of Pairs",1996,"https://arxiv.org/abs/alg-geom/9601026",2],[2,0.7106,0.1405,"Errata to: \"Faster Deterministic Exponential Time Algorithm for Energy Games and Mean Payoff Games\"",2023,"https://doi.org/10.48550/arxiv.2310.04130",1],[2,-0.5766,0.2752,"Quasi-state decompositions for quantum spin systems",1993,"https://arxiv.org/abs/cond-mat/9312012",2],[2,-0.0837,0.794,"Wakamatsu Tilting Modules, $U$-Dominant Dimension and $k$-Gorenstein Modules",2004,"https://arxiv.org/abs/math/0409150",1],[2,-0.6175,-0.5618,"An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators",2007,"https://arxiv.org/abs/0706.1896",1],[2,-0.4545,-0.5868,"CD meets CAT",2017,"https://arxiv.org/abs/1712.02839",1],[2,-0.6449,0.1644,"Matrix Product State Representations",2006,"https://arxiv.org/abs/quant-ph/0608197",2],[2,0.515,-0.4007,"The Virasoro conjecture for Gromov-Witten invariants",1998,"https://arxiv.org/abs/math/9812026",2],[2,0.8343,-0.1127,"Dimension Reduction in $L_p$, $0",2011,"https://arxiv.org/abs/1110.2148",1],[2,-0.7576,-0.4293,"Orientals",2006,"https://arxiv.org/abs/math/0601383",1],[2,0.3695,0.6741,"The chromatic number of the plane is at least 5",2018,"https://arxiv.org/abs/1804.02385",1],[2,-0.6985,0.2503,"The Graphs Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions",2010,"https://arxiv.org/abs/1010.4256",1],[2,0.0508,-0.8408,"Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2)",2005,"https://arxiv.org/abs/math/0511279",1],[2,-0.2856,0.7192,"Conformal covariance of the Liouville quantum gravity metric for $γ\\in (0,2)$",2019,"https://arxiv.org/abs/1905.00384",1],[2,0.3123,-0.5856,"A Kawamata-Viehweg Vanishing Theorem on compact Kahler manifolds",2002,"https://arxiv.org/abs/math/0208021",2],[2,-0.7094,-0.3648,"Fukaya Floer homology of $Σ\\times S^1$ and applications",1998,"https://arxiv.org/abs/math/9804081",1],[2,0.7424,0.0786,"A $(\\log n)^{Ω(1)}$ integrality gap for the Sparsest Cut SDP",2009,"https://arxiv.org/abs/0910.2024",1],[2,0.4649,0.2947,"Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm",2024,"https://arxiv.org/abs/2402.17994",4],[2,-0.2802,-0.7686,"Analytic Nullstellensätze and the model theory of valued fields",2024,"https://doi.org/10.1002/mana.202200280",1],[2,-0.4097,0.7492,"Free Energy in Spin Glass Models with Conventional Order",2024,"https://doi.org/10.1007/s10955-024-03266-z",1],[2,-0.5936,0.4043,"Acylindrical hyperbolicity for Artin groups with a visual splitting",2026,"https://doi.org/10.2140/agt.2026.26.1507",1],[2,-0.2533,0.6116,"On the spin interface distribution for non-integrable variants of the two-dimensional Ising model",2024,"https://arxiv.org/abs/2404.12375",3],[2,0.5162,-0.5363,"On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs",2024,"https://doi.org/10.48550/arxiv.2404.12007",1],[2,0.3826,-0.5303,"Projectivity criteria for Kähler morphisms",2024,"https://arxiv.org/abs/2404.13927",2],[2,-0.325,0.5508,"Sudakov–Fernique post-AMP, and a new proof of the local convexity of the TAP free energy",2024,"https://doi.org/10.1214/23-aop1675",2],[2,0.2929,-0.6576,"Proving the Duffin-Schaeffer conjecture without GCD graphs",2024,"https://arxiv.org/abs/2404.15123",1],[2,0.3103,-0.5663,"Remarks on the existence of minimal models of log canonical generalized pairs",2024,"https://doi.org/10.1007/s00209-024-03489-6",3],[2,-0.813,0.1549,"Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms",2026,"https://doi.org/10.1017/fmp.2025.10023",1],[2,-0.1069,0.7695,"Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements",2024,"https://doi.org/10.1007/s11856-024-2613-1",1],[2,0.1979,0.6064,"On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes",2024,"https://doi.org/10.4007/annals.2024.199.3.6",2],[2,-0.4509,-0.5728,"Alexandrov Geometry",2024,"https://doi.org/10.1090/gsm/236",1],[2,-0.8222,-0.2817,"Uniqueness of p-local truncated Brown–Peterson spectra",2026,"https://doi.org/10.1007/s00209-026-04032-5",1],[2,-0.4833,0.6959,"Directional transience of random walks in random environments with bounded jumps",2024,"https://doi.org/10.30757/alea.v21-27",1],[2,-0.5302,0.3732,"Hyperbolic one-relator groups",2024,"https://doi.org/10.4153/s0008414x24000427",2],[2,0.7232,0.2885,"A Theory of Alternating Paths and Blossoms from the Perspective of Minimum Length",2024,"https://doi.org/10.1287/moor.2020.0388",1],[2,-0.2338,-0.8261,"On Liouville’s Theorem for Conformal Maps",2024,"https://doi.org/10.1080/00029890.2024.2344409",1],[2,-0.3189,0.6255,"Statistical Mechanics of Mean-Field Disordered Systems",2024,"https://doi.org/10.4171/zlam/32",1],[2,0.4113,-0.5846,"A 9-dimensional family of K3 surfaces with finite-dimensional motive",2024,"https://doi.org/10.1007/s12215-024-01036-0",1],[2,-0.4498,-0.492,"Product Inequalities for $\\mathbb T^\\rtimes$-Stabilized Scalar Curvature",2024,"https://doi.org/10.3842/sigma.2024.038",2],[2,0.6248,0.5177,"Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor",2024,"https://doi.org/10.1112/blms.13057",1],[2,0.5439,-0.6282,"On surjective morphisms to abelian varieties and a generalization of the Iitaka conjecture",2024,"https://doi.org/10.1007/s00209-024-03505-9",1],[2,0.2918,-0.563,"Proof of the geometric Langlands conjecture I: construction of the functor",2024,"https://arxiv.org/abs/2405.03599",4],[2,0.5861,-0.5773,"Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE",2024,"https://arxiv.org/abs/2405.03648",1],[2,-0.2751,-0.6746,"Non-quadratic Euclidean Complete Affine Maximal Type Hypersurfaces for $$\\theta \\in (0,(N-1)/N]$$",2024,"https://doi.org/10.1007/s12220-024-01678-7",1],[2,-0.694,0.3276,"Localization and Unique Continuation for Non-stationary Schrödinger Operators on the 2D Lattice",2026,"https://doi.org/10.1007/s00220-026-05559-8",1],[2,-0.6227,-0.348,"Homologie polygraphique des systèmes locaux",2024,"https://doi.org/10.1016/j.aim.2024.109719",1],[2,0.711,0.3466,"Separating $$k\\text {-}\\textsc {Median}$$ from the Supplier Version",2024,"https://doi.org/10.1007/978-3-031-59835-7_2",1],[2,0.0019,-0.7009,"Moments of Derivatives of Modular L-Functions",2024,"https://doi.org/10.1093/qmath/haae028",1],[2,0.2963,0.5671,"A maximal extension of the Bloom-Maynard bound for sets without square differences",2024,"https://doi.org/10.7169/facm/2158",2],[2,-0.0211,0.8662,"Division rings for group algebras of virtually compact special groups and $3$-manifold groups",2024,"https://doi.org/10.4171/jca/89",1],[2,0.3441,0.6605,"Left-Cut-Percolation and Induced-Sidorenko Bigraphs",2024,"https://doi.org/10.1137/22m1526794",1],[2,0.7002,-0.2946,"Uniformization of Gromov hyperbolic domains by circle domains",2026,"https://doi.org/10.1215/00127094-2025-0076",1],[2,0.0238,-0.812,"Weak transfer from classical groups to general linear groups",2024,"https://doi.org/10.2140/ent.2024.3.19",1],[2,0.0136,-0.8133,"Moments of quadratic twists of modular $L$-functions",2024,"https://doi.org/10.1007/s00222-024-01265-1",1],[2,0.019,0.7927,"Towards higher Frobenius functors for symmetric tensor categories",2026,"https://doi.org/10.1007/s00029-026-01204-3",1],[2,0.1708,0.6807,"A note on approximate Hadamard matrices",2024,"https://doi.org/10.1007/s10623-024-01430-w",1],[2,-0.377,-0.7479,"Rigidity of compact rank one symmetric spaces",2026,"https://doi.org/10.1007/s00208-026-03472-y",1],[2,0.2627,0.7119,"Block sizes in the block sets conjecture",2026,"https://doi.org/10.1017/fms.2026.10212",1],[2,-0.3276,0.5706,"Which exceptional low-dimensional projections of a Gaussian point cloud can be found in polynomial time?",2024,"https://doi.org/10.48550/arxiv.2406.02970",2],[2,-0.8243,0.1322,"A One-Query Lower Bound for Unitary Synthesis and Breaking Quantum Cryptography",2024,"https://doi.org/10.1145/3618260.3649650",1],[2,0.6564,0.4132,"Tree Evaluation Is in Space 𝑂 (log 𝑛 · log log 𝑛)",2024,"https://doi.org/10.1145/3618260.3649664",1],[2,-0.621,0.15,"On the Pauli Spectrum of QAC0",2024,"https://doi.org/10.1145/3618260.3649662",2],[2,-0.3351,0.5513,"Trickle-Down in Localization Schemes and Applications",2024,"https://doi.org/10.1145/3618260.3649622",4],[2,-0.7505,-0.3911,"Descent for Algebraic Schemes",2024,"https://arxiv.org/abs/2406.05550",1],[2,-0.7032,-0.3691,"Maximal subgroups of exceptional groups and Quillen’s dimension",2024,"https://doi.org/10.2140/ant.2024.18.1375",1],[2,0.3087,-0.7973,"Local Langlands in families: The banal case",2026,"https://doi.org/10.1515/crelle-2026-0034",1],[2,-0.6313,0.4246,"Acylindrical hyperbolicity and the centers of Artin groups that are not free of infinity",2024,"https://arxiv.org/abs/2406.09432",1],[2,-0.64,0.0319,"Pure C*-algebras",2024,"https://arxiv.org/abs/2406.11052",2],[2,0.3631,-0.5549,"Seshadri constants on $\\mathbb {P}^1\\times \\mathbb {P}^1$ and applications to the symplectic packing problem",2025,"https://doi.org/10.1017/fms.2025.10137",2],[2,0.6167,0.4052,"Query Lower Bounds for Log-concave Sampling",2024,"https://doi.org/10.1145/3673651",1],[2,-0.6648,0.4854,"Drilling hyperbolic groups",2024,"https://arxiv.org/abs/2406.14667",1],[2,0.6937,-0.2949,"CNED sets: countably negligible for extremal distances",2024,"https://doi.org/10.1007/s00029-024-00951-5",1],[2,0.3859,-0.7122,"Metrics with minimal singularities and the Abundance conjecture",2024,"https://arxiv.org/abs/2406.18233",1],[2,-0.1953,0.6053,"The discrete Gaussian model, II. Infinite-volume scaling limit at high temperature",2024,"https://doi.org/10.1214/23-aop1659",3],[2,0.2967,-0.677,"Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer",2024,"https://arxiv.org/abs/2406.19198",1],[2,-0.3935,-0.5099,"Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces",2024,"https://doi.org/10.1007/s11118-024-10153-5",2],[2,-0.7267,0.289,"A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond",2024,"https://doi.org/10.1007/s00023-024-01465-8",1],[2,0.4901,-0.4378,"Symplectic monodromy at radius zero and equimultiplicity of $\\mu$-constant families",2024,"https://doi.org/10.4007/annals.2024.200.1.4",3],[2,0.4183,0.6218,"A counterexample to the periodic tiling conjecture",2024,"https://doi.org/10.4007/annals.2024.200.1.5",1],[2,0.46,-0.4611,"Mixed Hodge modules on stacks",2025,"https://doi.org/10.1017/fms.2025.10122",2],[2,-0.6282,0.4864,"Finite Germ Extensions",2024,"https://arxiv.org/abs/2407.03149",1],[2,0.6328,0.3901,"Pure-Circuit: Tight Inapproximability for PPAD",2024,"https://doi.org/10.1145/3678166",1],[2,0.5228,-0.6061,"On the Kodaira dimension",2024,"https://arxiv.org/abs/2407.09210",1],[2,-0.6571,0.2711,"The Simplified Approach to the Bose Gas Without Translation Invariance",2024,"https://doi.org/10.1007/s10955-024-03299-4",1],[2,-0.674,0.2795,"Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross–Pitaevskii Regime",2024,"https://doi.org/10.1137/23m1608215",1],[2,-0.5296,0.3763,"Virtually Free-by-Cyclic Groups",2024,"https://doi.org/10.1007/s00039-024-00687-6",2],[2,-0.2104,0.624,"Sharp Asymptotics for Arm Probabilities in Critical Planar Percolation",2024,"https://doi.org/10.1007/s00220-024-05028-0",2],[2,-0.0305,0.7754,"Storage Codes on Coset Graphs with Asymptotically Unit Rate",2024,"https://doi.org/10.1007/s00493-024-00114-2",1],[2,0.4419,0.7294,"An Improvement of the Upper Bound for the Number of Halving Lines of Planar Sets",2024,"https://doi.org/10.3390/sym16070936",1],[2,-0.152,-0.6289,"Well/Ill-Posedness Bifurcation for the Boltzmann Equation with Constant Collision Kernel",2024,"https://doi.org/10.1007/s40818-024-00177-w",2],[2,-0.2716,0.6807,"Orthodiagonal Maps, Tilings of Rectangles, and their Convergence to Conformal Maps",2024,"https://doi.org/10.48550/arxiv.2407.20851",1],[2,-0.1926,0.6155,"The Bałaban variational problem in the non-linear sigma model",2024,"https://doi.org/10.1142/s0129055x24610038",2],[2,0.6297,-0.186,"Erdős Similarity Problem via Bi-Lipschitz Embedding",2024,"https://doi.org/10.1093/imrn/rnae167",2],[2,-0.8042,0.3412,"Violations of the v -representability condition underlying Kohn-Sham density-functional theory",2024,"https://doi.org/10.1103/physreva.110.l020802",1],[2,0.24,0.6648,"Seymour's second neighbourhood conjecture: random graphs and reductions",2024,"https://doi.org/10.1002/rsa.21251",1],[2,-0.5187,-0.6539,"On gluing Alexandrov spaces with lower Ricci curvature bounds",2023,"https://doi.org/10.4310/cag.2023.v31.n6.a6",1],[2,0.6915,0.2623,"On the Optimality of Dictator Functions and Isoperimetric Inequalities on Boolean Hypercubes",2024,"https://doi.org/10.1109/isit57864.2024.10619180",1],[2,-0.2964,0.7102,"Carathéodory Sets in the Plane",2024,"https://doi.org/10.4171/mems/14",1],[2,-0.6193,-0.3304,"Homotopy properties of the complex of frames of a unitary space",2024,"https://doi.org/10.1112/jlms.12978",1],[2,-0.6267,-0.3255,"Some results on Quillen’s conjecture via equivalent-poset techniques",2024,"https://doi.org/10.4171/jca/95",1],[2,-0.7886,-0.1365,"Locally universal C⁎-algebras with computable presentations",2024,"https://doi.org/10.1016/j.jfa.2024.110652",1],[2,0.5928,-0.5908,"The $P=W$ conjecture for $\\mathrm{GL}_n$",2024,"https://doi.org/10.4007/annals.2024.200.2.3",1],[2,-0.4629,-0.5732,"Almost splitting maps, transformation theorems and smooth fibration theorems",2024,"https://doi.org/10.1016/j.aim.2024.109914",1],[2,0.0152,0.7413,"Incompressible tensor categories",2024,"https://doi.org/10.1016/j.aim.2024.109935",1],[2,-0.7945,-0.336,"The definable content of homological invariants II: Čech cohomology and homotopy classification",2024,"https://doi.org/10.1017/fmp.2024.7",1],[2,0.115,-0.8044,"Half-Isolated Zeros and Zero-Density Estimates",2024,"https://doi.org/10.1093/imrn/rnae191",1],[2,-0.8139,0.2449,"A Meta Logarithmic-Sobolev Inequality for Phase-Covariant Gaussian Channels",2024,"https://doi.org/10.1007/s00023-024-01487-2",1],[2,-0.678,0.5282,"On the Boone--Higman Conjecture for groups acting on locally finite trees",2024,"https://arxiv.org/abs/2408.05673",1],[2,0.3844,0.6468,"Gromov's Approximating Tree and the All-Pairs Bottleneck Paths Problem",2024,"https://arxiv.org/abs/2408.05338",1],[2,0.7777,-0.3912,"A dichotomy for Hörmander-type oscillatory integral operators",2024,"https://doi.org/10.1007/s00222-024-01288-8",1],[2,0.5277,-0.5552,"The Bieri-Neumann-Strebel sets of quasi-projective groups",2024,"https://arxiv.org/abs/2408.06250",1],[2,-0.6227,0.2059,"Uniqueness and Non-Uniqueness Results for Spacetime Extensions",2024,"https://doi.org/10.1093/imrn/rnae194",2],[2,-0.7912,0.314,"Ground State Energy Is Not Always Convex in the Number of Electrons",2024,"https://doi.org/10.1021/acs.jpca.4c06345",1],[2,-0.7422,-0.3227,"Higher index theory for spaces with an FCE-by-FCE structure",2024,"https://doi.org/10.1016/j.jfa.2024.110679",1],[2,0.4425,-0.7485,"ACC for local volumes",2024,"https://arxiv.org/abs/2408.15090",1],[2,0.4903,-0.4446,"The linear Shafarevich conjecture for quasiprojective varieties and algebraicity of Shafarevich morphisms",2024,"https://arxiv.org/abs/2408.16441",2],[2,-0.5135,-0.3998,"On Matoušek-like embedding obstructions of countably branching graphs",2024,"https://doi.org/10.1016/j.jmaa.2024.128896",3],[2,0.6877,0.2756,"Maximum Cardinality f -Matching in Time O ( n 2/3 m )",2024,"https://doi.org/10.1145/3696668",1],[2,0.5591,-0.599,"Equivariant Kähler model for Fujiki’s class",2024,"https://doi.org/10.1007/s12220-024-01796-2",1],[2,-0.8545,-0.1334,"An elementary proof of the inequality $\\chi\\leq\\chi^{*}$ for conditional free entropy",2024,"https://doi.org/10.4171/dm/969",1],[2,-0.3173,0.7717,"Reconstruction of log-correlated fields from multiplicative chaos measures",2024,"https://arxiv.org/abs/2408.17219",1],[2,-0.0611,0.8437,"Proof of the Newell-Littlewood saturation conjecture",2024,"https://arxiv.org/abs/2409.00233",1],[2,0.0236,-0.8297,"Exceptional zeros for Heegner points and $p$-converse to the theorem of Gross-Zagier and Kolyvagin",2024,"https://arxiv.org/abs/2409.01360",1],[2,0.1192,-0.7932,"The average number of Goldbach representations and Zero-free regions of the Riemann zeta function",2024,"https://doi.org/10.1142/s1793042125500150",1],[2,0.6716,-0.253,"The weak-type Carleson theorem via wave packet estimates",2024,"https://doi.org/10.1090/tran/9303",1],[2,-0.7152,0.2454,"Mode analysis for the linearized Einstein equations on the Kerr metric: the large $\\mathfrak{a}$ case",2024,"https://doi.org/10.4171/jems/1544",1],[2,0.4201,-0.6618,"Irrational Nef Rays at the Boundary of the Mori Cone for Very General Blowups of the Plane",2024,"https://doi.org/10.1307/mmj/20236356",1],[2,0.5539,0.5499,"Birkhoff Conjecture for Nearly Centrally Symmetric Domains",2024,"https://doi.org/10.1007/s00039-024-00695-6",1],[2,-0.0985,-0.7418,"Non-radial implosion for the defocusing nonlinear Schrödinger equation in $\\mathbb{T}^d$ and $\\mathbb{R}^d$",2024,"https://arxiv.org/abs/2410.04532",1],[2,-0.0906,-0.7342,"Self-Similar Singular Solutions to the Nonlinear Schrödinger and the Complex Ginzburg-Landau Equations",2024,"https://arxiv.org/abs/2410.05480",1],[2,-0.1978,0.8036,"$SLE_6$ and 2-d critical bond percolation on the square lattice",2024,"https://doi.org/10.48550/arxiv.2409.03235",1],[2,-0.6357,-0.2131,"The monochromatic Hahn-Wilson conjecture",2026,"https://doi.org/10.1007/s00222-026-01448-y",2],[2,-0.7309,-0.2204,"Relative Poincaré duality in nonarchimedean geometry",2024,"https://arxiv.org/abs/2410.08200",1],[2,-0.3781,-0.6826,"Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes",2024,"https://doi.org/10.4310/jdg/1729092457",1],[2,-0.5038,0.5831,"Deconstructible abstract elementary classes of modules and categoricity",2024,"https://doi.org/10.1112/blms.13172",1],[2,0.4081,0.593,"Periodicity and decidability of translational tilings by rational polygonal sets",2024,"https://doi.org/10.1016/j.exmath.2024.125620",1],[2,0.6322,-0.1029,"Many Flavors of Edit Distance",2024,"https://doi.org/10.4230/lipics.fsttcs.2024.11",2],[2,0.5509,0.5847,"Weak mixing in rational billiards",2024,"https://arxiv.org/abs/2410.11117",1],[2,0.0198,-0.7059,"Local Intertwining Relations and Co-tempered $A$-packets of Classical Groups",2024,"https://arxiv.org/abs/2410.13504",1],[2,0.5408,0.5098,"Multiple mixing for parabolic systems",2024,"https://arxiv.org/abs/2410.13686",1],[2,0.671,0.249,"Local Optimality of Dictator Functions with Applications to Courtade--Kumar and Li--Médard Conjectures",2024,"https://arxiv.org/abs/2410.10147",1],[2,-0.112,0.724,"Galois automorphisms and a unique Jordan decomposition in the case of connected centralizer",2024,"https://doi.org/10.1016/j.jalgebra.2024.10.017",1],[2,-0.1071,0.7547,"Blocks whose defect groups are Suzuki 2-groups",2024,"https://doi.org/10.1016/j.jalgebra.2024.10.011",1],[2,-0.6775,0.2717,"Upper Bound for the Ground State Energy of a Dilute Bose Gas of Hard Spheres",2024,"https://doi.org/10.1007/s00205-024-02049-w",1],[2,0.2397,-0.6111,"Relative Langlands Duality",2024,"https://arxiv.org/abs/2409.04677",2],[2,0.452,0.5977,"Monochromatic products and sums in the rationals",2024,"https://doi.org/10.1017/fmp.2024.19",1],[2,-0.2168,0.6188,"Improved covering results for conjugacy classes of symmetric groups via hypercontractivity",2024,"https://doi.org/10.1017/fms.2024.95",5],[2,0.3456,-0.6267,"A functorial approach to the stability of vector bundles",2024,"https://doi.org/10.1007/s00209-024-03606-5",1],[2,0.5419,-0.5313,"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction",2024,"https://arxiv.org/abs/2409.07051",1],[2,0.5865,-0.5664,"Proof of the geometric Langlands conjecture IV: ambidexterity",2024,"https://arxiv.org/abs/2409.08670",1],[2,-0.6872,0.2904,"Solution of the v-representability problem on a one-dimensional torus",2024,"https://doi.org/10.1088/1751-8121/ad8a2a",1],[2,-0.6338,0.2317,"Rigidities of isoperimetric inequality under nonnegative Ricci curvature",2024,"https://doi.org/10.4171/jems/1532",2],[2,0.0277,-0.6632,"Zeta elements for elliptic curves and applications",2024,"https://arxiv.org/abs/2409.01350",2],[2,0.3233,-0.5684,"Proof of the geometric Langlands conjecture V: the multiplicity one theorem",2024,"https://arxiv.org/abs/2409.09856",3],[2,0.2601,-0.822,"The linear independence of $1$, $ζ(2)$, and $L(2,χ_{-3})$",2024,"https://arxiv.org/abs/2408.15403",1],[2,0.7173,-0.3031,"The Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic 3-space",2024,"https://doi.org/10.1016/j.aim.2024.109969",1],[2,0.2942,-0.7728,"The section conjecture for the toric fundamental group over $p$-adic fields",2024,"https://arxiv.org/abs/2409.07923",1],[2,0.7593,-0.1223,"Optimal Padded Decomposition For Bounded Treewidth Graphs",2025,"https://doi.org/10.46298/theoretics.25.22",1],[2,-0.4931,-0.6978,"Uniform non-autonomous basins of attraction",2024,"https://doi.org/10.1007/s00222-024-01295-9",1],[2,0.815,-0.3148,"Brennan's conjecture holds for semigroups of holomorphic functions",2024,"https://doi.org/10.48550/arxiv.2409.15074",1],[2,-0.2641,0.6588,"SLE Loop Measure and Liouville Quantum Gravity",2024,"https://arxiv.org/abs/2409.16547",1],[2,-0.6053,0.2124,"Lipschitz inextendibility of weak null singularities from curvature blow-up",2025,"https://doi.org/10.1007/s00222-025-01387-0",3],[2,0.3723,-0.6662,"On the Kodaira dimension of some algebraic fiber spaces",2024,"https://arxiv.org/abs/2409.19981",1],[2,0.6249,0.1699,"Perfect sampling from rapidly mixing Markov chains",2024,"https://arxiv.org/abs/2410.00882",2],[2,-0.5917,0.5131,"Residually finite non-linear hyperbolic groups",2024,"https://doi.org/10.4171/cmh/581",1],[2,-0.7962,0.2619,"Quasilinear wave equations on Kerr black holes in the full subextremal range $|a|",2024,"https://doi.org/10.48550/arxiv.2410.03639",1],[2,0.1226,-0.8502,"Non-vanishing for cubic Hecke $L$-functions",2024,"https://arxiv.org/abs/2410.03048",1],[2,0.0981,-0.6385,"Bias in cubic Gauss sums: Patterson's conjecture",2024,"https://doi.org/10.4007/annals.2024.200.3.3",4],[2,-0.7313,0.2564,"The Equality Case in the Substatic Heintze–Karcher Inequality",2024,"https://doi.org/10.1007/s00205-024-02022-7",1],[2,0.5859,-0.6095,"Hodge symmetry and Lefschetz theorems for singular varieties",2024,"https://arxiv.org/abs/2410.15638",1],[2,0.6241,-0.2151,"Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications",2024,"https://arxiv.org/abs/2410.15791",2],[2,-0.7607,-0.0493,"Linear Programming with Unitary-Equivariant Constraints",2024,"https://doi.org/10.1007/s00220-024-05108-1",1],[2,0.7631,-0.3599,"L estimates of the maximal Schrödinger operator in Rn",2024,"https://doi.org/10.1016/j.jfa.2024.110737",1],[2,-0.0566,-0.6553,"Hydrodynamic and symbolic models of computation with advice",2024,"https://doi.org/10.4171/rmi/1506",2],[2,0.7778,0.3356,"Fully graphic degree sequences and P-stable degree sequences",2024,"https://doi.org/10.1016/j.aam.2024.102805",1],[2,-0.2093,-0.8421,"Well/Ill-Posedness of the Boltzmann Equation with Soft Potential",2024,"https://doi.org/10.1007/s00220-024-05157-6",1],[2,0.6568,-0.4669,"Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic Slodowy varieties",2024,"https://arxiv.org/abs/2410.20512",1],[2,0.3975,0.6705,"Three observations on the Colin de Verdière spectral graph parameter",2024,"https://doi.org/10.48550/arxiv.2410.21226",1],[2,-0.666,-0.3455,"Filtered instanton homology and cosmetic surgery",2024,"https://arxiv.org/abs/2410.21248",1],[2,0.7095,0.0786,"Random zero sets with local growth guarantees",2024,"https://arxiv.org/abs/2410.21931",1],[2,0.0133,-0.6454,"$p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes",2024,"https://arxiv.org/abs/2410.23241",3],[2,0.7664,-0.3859,"An improved bound on the Hausdorff dimension of sticky Kakeya sets in $\\mathbb{R}^{4}$",2026,"https://doi.org/10.4171/rmi/1621",1],[2,0.609,-0.4051,"Numerically flat foliations and holomorphic Poisson geometry",2024,"https://arxiv.org/abs/2411.08806",1],[2,-0.7032,0.2106,"Mutually Unbiased Bases in Composite Dimensions – A Review",2026,"https://doi.org/10.22331/q-2026-04-01-2051",1],[2,-0.7835,-0.3151,"Higher Semiadditivity in Transchromatic Homotopy Theory",2024,"https://arxiv.org/abs/2411.00968",1],[2,-0.7944,0.2242,"A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems",2026,"https://doi.org/10.22331/q-2026-04-13-2065",1],[2,-0.675,0.4566,"Intersection of parabolic subgroups in Euclidean braid groups: a short proof",2024,"https://doi.org/10.5802/crmath.656",1],[2,-0.0748,-0.7777,"Gluing methods for quantitative stability of optimal transport maps",2024,"https://arxiv.org/abs/2411.04908",1],[2,0.4647,-0.7368,"A solution to Fujita's freeness conjecture via an extension theorem with analytic adjoint ideal sheaves",2024,"https://arxiv.org/abs/2411.07129",1],[2,-0.2029,0.6153,"Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function",2024,"https://arxiv.org/abs/2411.04347",3],[2,0.5487,0.5132,"Multiple mixing, 75 years of Rokhlin's problem",2024,"https://doi.org/10.48550/arxiv.2411.07234",1],[2,0.583,-0.3134,"Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities",2024,"https://doi.org/10.48550/arxiv.2411.08871",4],[2,-0.7336,0.4547,"From telescopes to frames and simple groups",2024,"https://doi.org/10.4171/jca/103",1],[2,0.4655,0.453,"The multilinear circle method and a question of Bergelson",2024,"https://arxiv.org/abs/2411.09478",2],[2,-0.3132,0.7684,"Critical Gaussian multiplicative chaos revisited",2024,"https://doi.org/10.1214/23-aihp1411",1],[2,0.466,0.6144,"Improved bounds for five-term arithmetic progressions",2024,"https://doi.org/10.1017/s0305004124000264",1],[2,0.3837,-0.6987,"Birational boundedness of rationally connected log Calabi-Yau pairs with fixed index",2024,"https://doi.org/10.4310/agp.241127005218",1],[2,-0.3903,0.7176,"Capacity Threshold for the Ising Perceptron",2024,"https://doi.org/10.1109/focs61266.2024.00074",1],[2,-0.6907,0.2477,"Black Hole and Equipotential Photon Surface Uniqueness in Four-Dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes",2024,"https://doi.org/10.1007/s00023-024-01514-2",1],[2,0.5708,-0.6006,"On quasi-Albanese maps",2024,"https://doi.org/10.1007/s40574-024-00448-1",1],[2,-0.8658,-0.0885,"Kadison’s problem for type III subfactors and the bicentralizer conjecture",2024,"https://doi.org/10.1007/s00222-024-01299-5",1],[2,0.0544,0.7216,"On Liftings of Modules of Finite Projective Dimension",2024,"https://doi.org/10.1093/imrn/rnae257",1],[2,0.3097,0.5734,"New bounds for the Furstenberg-Sárközy theorem",2024,"https://doi.org/10.48550/arxiv.2411.17448",3],[2,0.7393,-0.4124,"A comparison of trilinear testing conditions for the paraboloid Fourier extension and Kakeya conjectures in three dimensions",2024,"https://arxiv.org/abs/2411.18457",1],[2,-0.7443,-0.3487,"Exotic aspherical $4$-manifolds",2026,"https://doi.org/10.4007/annals.2026.204.2.6",1],[2,0.3028,-0.7901,"On generic representations of quasi-split reductive groups over local fields of positive characteristic",2024,"https://arxiv.org/abs/2412.00229",1],[2,0.0189,-0.8304,"Hilbert’s tenth problem via additive combinatorics",2026,"https://doi.org/10.1090/jams/1081",1],[2,0.8043,0.1456,"Universal complexity bounds based on value iteration for stochastic mean payoff games and entropy games",2024,"https://doi.org/10.1016/j.ic.2024.105236",1],[2,0.3716,-0.6374,"On Toric Fano Fibrations",2024,"https://doi.org/10.1017/9781009396233.008",1],[2,0.2666,0.7672,"On a Generalization of Iterated and Randomized Rounding",2024,"https://doi.org/10.4086/toc.2024.v020a006",1],[2,0.2646,0.8233,"A sharp version of Talagrand's selector process conjecture, with applications to rounding fractional covers and Bernoulli Sudakov minoration",2024,"https://doi.org/10.48550/arxiv.2412.03540",1],[2,-0.0988,0.7367,"The Inductive Blockwise Alperin Weight Condition for the Chevalley Groups 𝐹₄(𝑞)",2024,"https://doi.org/10.1090/memo/1530",1],[2,0.0307,-0.6468,"On the Fontaine-Mazur conjecture for $p=3$",2024,"https://arxiv.org/abs/2412.06812",2],[2,0.3868,-0.7143,"Transcendental Minimal Model Program for Projective Varieties",2024,"https://doi.org/10.48550/arxiv.2412.07650",1],[2,-0.4583,-0.5765,"Parallel transport on non-collapsed 𝖱𝖢𝖣(𝐾, 𝑁) spaces",2024,"https://doi.org/10.1515/crelle-2024-0082",1],[2,-0.2737,0.8271,"Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models",2024,"https://arxiv.org/abs/2412.08964",1],[2,0.7013,-0.145,"A note on Bourgain's slicing problem",2024,"https://arxiv.org/abs/2412.09075",1],[2,0.6273,-0.1854,"Large sets containing no copies of a given infinite sequence",2024,"https://doi.org/10.2140/apde.2025.18.93",2],[2,0.7128,-0.3441,"Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem",2024,"https://doi.org/10.2140/apde.2025.18.265",1],[2,0.3166,0.7755,"The BBDVW Conjecture for Kazhdan–Lusztig Polynomials of Lower Intervals",2026,"https://doi.org/10.1093/imrn/rnag022",1],[2,0.774,0.2646,"Sample-Based Matroid Prophet Inequalities",2024,"https://doi.org/10.1145/3670865.3673506",1],[2,-0.6834,-0.2629,"On the Last Kervaire Invariant Problem",2024,"https://arxiv.org/abs/2412.10879",1],[2,0.6603,-0.0915,"A note on energy minimization in dimension 2",2024,"https://doi.org/10.1090/bproc/247",2],[2,0.2307,-0.6066,"The singular support of an ℓ-adic sheaf",2024,"https://doi.org/10.2140/tunis.2024.6.703",2],[2,-0.1028,0.6954,"Tilting representations of finite groups of Lie type",2024,"https://arxiv.org/abs/2412.13326",1],[2,0.7218,-0.2926,"The variation of the uncentered maximal operator with respect to cubes",2024,"https://doi.org/10.4171/jems/1575",1],[2,-0.4116,0.6399,"Dimension jump at the uniqueness threshold for percolation in $\\infty+d$ dimensions",2024,"https://doi.org/10.48550/arxiv.2412.15895",1],[2,-0.5376,0.3657,"Stability conditions and Artin--Tits groups",2024,"https://arxiv.org/abs/2412.15919",2],[2,-0.4814,-0.6018,"Curvature tensor of smoothable Alexandrov spaces",2024,"https://doi.org/10.2140/gt.2024.28.3869",1],[2,-0.3354,-0.6257,"On a generalized Monge-Ampère equation on closed almost Kähler surfaces",2024,"https://arxiv.org/abs/2412.18361",1],[2,-0.0882,0.7859,"Tachikawa's second conjecture, derived recollements, and gendo-symmetric algebras",2024,"https://doi.org/10.1112/s0010437x24007395",1],[2,0.2762,0.7485,"An improved bound on Seymour's second neighborhood conjecture",2024,"https://arxiv.org/abs/2412.20234",1],[2,-0.184,0.5518,"Ramanujan Property and Edge Universality of Random Regular Graphs",2024,"https://arxiv.org/abs/2412.20263",3],[2,-0.7848,-0.2276,"A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve",2024,"https://arxiv.org/abs/2412.20968",1],[2,-0.1426,-0.625,"Long time derivation of the Boltzmann equation from hard sphere dynamics",2024,"https://doi.org/10.48550/arxiv.2408.07818",2],[2,0.4961,0.675,"Monochromatic products and sums in 2-colorings of N",2025,"https://doi.org/10.1016/j.aim.2024.110095",1],[2,-0.221,0.7494,"Conformal invariance of double random currents I: Identification of the limit",2025,"https://doi.org/10.1112/plms.70022",1],[2,-0.4652,0.6514,"Nesting of double-dimer loops: local fluctuations and convergence to the nesting field of CLE(4)",2025,"https://arxiv.org/abs/2501.01574",1],[2,0.5603,0.3238,"An embedding theorem for multidimensional subshifts",2025,"https://doi.org/10.1017/etds.2024.117",3],[2,0.4775,-0.6756,"K3 surfaces associated with varieties of generalized Kummer type",2026,"https://doi.org/10.2140/gt.2026.30.1129",1],[2,0.642,0.1383,"More Asymmetry Yields Faster Matrix Multiplication",2025,"https://doi.org/10.1137/1.9781611978322.63",3],[2,0.7584,0.3527,"A Subexponential Time Algorithm for Makespan Scheduling of Unit Jobs with Precedence Constraints",2025,"https://doi.org/10.1137/1.9781611978322.16",1],[2,-0.3198,0.5707,"On the free energy of vector spin glasses with nonconvex interactions",2025,"https://doi.org/10.2140/pmp.2025.6.1",3],[2,0.5983,-0.3047,"On the Distance Sets Spanned by Sets of Dimension d/2 in $\\mathbb{R}^{d}$",2025,"https://doi.org/10.1007/s00039-024-00696-5",3],[2,0.3006,-0.7923,"Galois sections and p-adic period mappings",2025,"https://doi.org/10.4007/annals.2025.201.1.2",1],[2,0.6967,0.2376,"Constant-competitiveness for random assignment Matroid secretary without knowing the Matroid",2025,"https://doi.org/10.1007/s10107-024-02177-x",1],[2,-0.0155,0.7804,"Machine-checked elimination of taiko branches over the Garg–Mineyev range",2025,"https://arxiv.org/abs/2501.07646",1],[2,-0.6676,0.2775,"Kohn–Sham inversion for open-shell systems",2025,"https://doi.org/10.1063/5.0239422",1],[2,0.4262,-0.4819,"TWO NON-VANISHING RESULTS CONCERNING THE ANTI-CANONICAL BUNDLE",2025,"https://doi.org/10.1017/nmj.2024.21",7],[2,0.409,0.6002,"A note on reduction of tiling problems",2025,"https://doi.org/10.1007/s11856-025-2716-3",1],[2,0.3291,-0.5567,"Stable degenerations of singularities",2025,"https://doi.org/10.1090/jams/1055",5],[2,0.8218,-0.1452,"Note on projection bodies of zonotopes with n + 1 generators",2025,"https://doi.org/10.1007/s10473-025-0107-9",1],[2,-0.6475,-0.2942,"Aspherical manifolds with boundary",2025,"https://arxiv.org/abs/2501.12509",1],[2,-0.8211,-0.2554,"Compactly supported $p$-adic pro-étale cohomology of analytic varieties",2025,"https://arxiv.org/abs/2501.13651",1],[2,0.2701,0.6737,"Noncommutative Schur functions for posets",2025,"https://doi.org/10.1007/s00029-024-01010-9",1],[2,0.2333,-0.61,"Tame local Betti geometric Langlands",2025,"https://arxiv.org/abs/2501.14157",2],[2,0.2441,-0.6064,"The universal monodromic Arkhipov-Bezrukavnikov equivalence",2025,"https://arxiv.org/abs/2501.14156",2],[2,0.4213,0.7111,"Tight Error Bounds for the Sign-Constrained Stiefel Manifold",2025,"https://doi.org/10.1137/24m1659030",1],[2,0.6294,0.5366,"Dulac’s Theorem Revisited",2025,"https://doi.org/10.1007/s12346-025-01220-2",1],[2,0.2478,0.8342,"Stability of homomorphisms, coverings and cocycles II: Examples, applications and open problems",2025,"https://doi.org/10.1016/j.aim.2025.110117",1],[2,-0.6251,0.4439,"The theory of one-relator groups: history and recent progress",2025,"https://doi.org/10.48550/arxiv.2501.18306",1],[2,0.3778,-0.5003,"A characterization of uniruled compact Kähler manifolds",2025,"https://doi.org/10.48550/arxiv.2501.18088",5],[2,0.3885,-0.7017,"Index of coregularity zero log Calabi–Yau pairs",2025,"https://doi.org/10.2140/ant.2025.19.383",1],[2,-0.6653,-0.0281,"$\\mathrm{W}^{*}$-Superrigidity for cocycle twisted group von Neumann algebras",2025,"https://doi.org/10.1007/s00222-025-01320-5",2],[2,0.2256,0.7461,"High-dimensional expanders from Kac–Moody–Steinberg groups",2025,"https://doi.org/10.1016/j.ejc.2025.104131",1],[2,0.3815,-0.5352,"Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds",2025,"https://arxiv.org/abs/2502.03415",2],[2,-0.502,-0.6277,"Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces",2025,"https://doi.org/10.1007/s40574-025-00458-7",1],[2,-0.7629,0.2851,"On a Variational Problem Related to the Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities",2025,"https://doi.org/10.1007/s00220-024-05216-y",1],[2,0.3805,-0.7092,"Complements and coregularity of Fano varieties",2025,"https://doi.org/10.1017/fms.2024.69",1],[2,0.7984,-0.1342,"An Approximate Generalization of the Okamura–Seymour Theorem",2025,"https://doi.org/10.1137/23m1545938",1],[2,0.7102,-0.0178,"Dvoretzky-type theorem for locally finite subsets of a Hilbert space",2025,"https://doi.org/10.5802/aif.3672",1],[2,-0.2684,0.6111,"Quantitative quenched Voronoi percolation and applications",2025,"https://doi.org/10.5802/aif.3710",2],[2,0.1403,-0.8602,"Highly uniform prime number theorems",2025,"https://doi.org/10.5802/aif.3698",1],[2,-0.3686,-0.6994,"Flows of $G_2$-structures associated to Calabi-Yau manifolds",2024,"https://doi.org/10.4310/mrl.250211003545",1],[2,-0.2485,0.6116,"The scaling limit of boundary spin correlations in non-integrable Ising models",2025,"https://doi.org/10.1063/5.0235381",3],[2,0.6501,-0.3237,"On local smoothing estimates for wave equations",2025,"https://arxiv.org/abs/2502.05973",1],[2,0.3978,-0.7298,"Smooth Calabi–Yau varieties with large index and Betti numbers",2026,"https://doi.org/10.1007/s00209-026-03984-y",1],[2,-0.0841,0.7859,"Homological theory of self-orthogonal modules",2025,"https://doi.org/10.1090/tran/9426",1],[2,-0.1023,-0.8509,"Probabilistic global-wellposedness for the energy-supercritical Schrödinger equations on compact manifolds",2025,"https://arxiv.org/abs/2502.08812",1],[2,-0.4308,0.6368,"Gaussian Waves and Edge Eigenvectors of Random Regular Graphs",2025,"https://arxiv.org/abs/2502.08897",1],[2,-0.2807,-0.5932,"Gromov–Witten invariants of bielliptic surfaces",2025,"https://doi.org/10.1112/jlms.70081",3],[2,0.4207,-0.6919,"Minimal log discrepancy and orbifold curves",2025,"https://arxiv.org/abs/2502.11847",1],[2,-0.6301,0.1737,"Ground State of the S = 1 Antiferromagnetic Heisenberg Chain Is Topologically Nontrivial if Gapped",2025,"https://doi.org/10.1103/physrevlett.134.076602",2],[2,-0.6076,0.3797,"Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces",2025,"https://doi.org/10.1017/fmp.2024.31",1],[2,0.4646,0.6348,"Lower bounds for multicolor van der Waerden numbers",2025,"https://doi.org/10.1007/s11856-025-2735-0",1],[2,-0.397,0.7167,"Capacity lower bound for the Ising perceptron",2025,"https://doi.org/10.1007/s00440-025-01364-x",1],[2,-0.1642,-0.7576,"The Regularity Theory for the Mumford–Shah Functional on the Plane",2025,"https://doi.org/10.4171/emm/13",1],[2,0.666,-0.5296,"The K3 category of a cubic fourfold: an update",2025,"https://doi.org/10.1007/s13366-025-00788-9",1],[2,0.5607,-0.5246,"Groups with exotic finiteness properties from complex Morse theory",2025,"https://doi.org/10.1112/topo.70013",1],[2,-0.7759,0.0306,"Uniform property Γ $ \\Gamma $ normal upper Gamma and finite dimensional tracial boundaries",2025,"https://doi.org/10.4153/s0008414x2400107x",1],[2,-0.1039,0.7638,"The blockwise Alperin weight conjecture and inertial blocks",2025,"https://doi.org/10.1016/j.jalgebra.2025.01.030",1],[2,-0.3743,0.639,"Integral Inequalities for Convex Functions of Operators on Martingales",1972,"https://doi.org/10.1525/9780520423671-018",1],[2,0.7308,-0.0505,"Quantitative approximate definable choices",2025,"https://doi.org/10.1007/s00208-025-03128-3",1],[2,-0.6862,0.4532,"Cayley graphs of R. Thompson’s group $F$: New estimates for the density",2025,"https://doi.org/10.4171/jca/110",1],[2,0.5044,-0.5057,"Perverse filtrations and Fourier transforms",2025,"https://doi.org/10.4310/acta.2025.v234.n1.a1",1],[2,-0.0529,-0.6708,"Towards a Fluid Computer",2025,"https://doi.org/10.1007/s10208-025-09699-6",2],[2,0.505,0.7134,"Lower bounds for incidences",2025,"https://doi.org/10.1007/s00222-025-01331-2",1],[2,-0.6858,0.4103,"A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups",2025,"https://doi.org/10.1016/j.aim.2025.110202",1],[2,0.4595,-0.7254,"Seshadri constants and related conjectures over characteristic zero fields",2025,"https://doi.org/10.1016/j.bulsci.2025.103617",1],[2,0.3243,-0.7839,"Homomorphisms of global solvably closed Galois groups compatible with cyclotomic characters",2025,"https://doi.org/10.2748/tmj.20230414",1],[2,-0.6754,0.2536,"Optimizers For The Finite-Rank Lieb-Thirring Inequality",2025,"https://doi.org/10.1353/ajm.2025.a954649",1],[2,0.6541,-0.4686,"Hikita-Nakajima conjecture for the Gieseker variety",2025,"https://doi.org/10.1007/s00029-025-01028-7",1],[2,-0.3606,-0.5404,"Toric Einstein 4-manifolds with non-negative sectional curvature",2025,"https://doi.org/10.1007/s10455-025-09990-3",2],[2,0.5368,-0.4811,"Some consequences of the $$\\mu $$-constant condition for families of surfaces",2025,"https://doi.org/10.1007/s00209-025-03716-8",1],[2,-0.6165,0.2462,"Mathematical physics of dilute Bose gases",2025,"https://doi.org/10.5802/crphys.247",2],[2,-0.1673,0.6195,"Delocalisation and Continuity in 2D: Loop $$\\textrm{O}(2)$$, Six-Vertex, and Random-Cluster Models",2025,"https://doi.org/10.1007/s00220-025-05259-9",4],[2,0.5658,-0.6478,"Generalized nonvanishing conjecture and Iitaka conjecture",2025,"https://doi.org/10.1007/s00209-025-03727-5",1],[2,-0.0215,0.6441,"Stable finiteness of monoid algebras and surjunctivity",2025,"https://doi.org/10.1016/j.tcs.2025.115228",2],[2,-0.6396,-0.3127,"Some problems and conjectures about 𝐿²-invariants",2025,"https://doi.org/10.1090/conm/816/16349",1],[2,-0.6141,0.2219,"Conformal deformations of initial data sets to the strict dominant energy condition using a spacetime Poisson equation",2025,"https://doi.org/10.1142/s0219887825501981",3],[2,0.0057,-0.6665,"Base Change and Iwasawa Main Conjectures for GL2",2025,"https://doi.org/10.1093/imrn/rnaf082",2],[2,-0.8495,-0.008,"Borel fields and measured fields of Polish spaces, Banach spaces, von Neumann algebras, and C∗${\\rm C}^*$‐algebras",2025,"https://doi.org/10.1112/jlms.70159",1],[2,-0.7703,-0.0834,"Internal Sequential Commutation and Single Generation",2025,"https://doi.org/10.1093/imrn/rnaf103",1],[2,-0.8304,0.2564,"Monotonicity of the von Neumann Entropy Under Quantum Convolution",2026,"https://doi.org/10.1007/s00220-026-05703-4",1],[2,-0.4042,-0.5195,"Hölder continuity of tangent cones in RCD(K,N) spaces and applications to nonbranching",2025,"https://doi.org/10.2140/gt.2025.29.1037",2],[2,0.5535,-0.4589,"An algebraic variant of the Fischer–Grauert Theorem",2025,"https://doi.org/10.1007/s00209-025-03728-4",1],[2,-0.7597,-0.3673,"$$L^2$$-betti numbers of branched covers of hyperbolic manifolds",2025,"https://doi.org/10.1007/s00208-025-03164-z",1],[2,0.6608,-0.3413,"The Assouad dimension of Kakeya sets in $\\mathbb{R}^{3}$",2025,"https://doi.org/10.1007/s00222-025-01336-x",1],[2,-0.7064,0.5001,"On the coherence of one-relator groups and their group algebras",2025,"https://doi.org/10.4007/annals.2025.201.3.4",1],[2,0.6373,0.1282,"Fast value iteration: A uniform approach to efficient algorithms for energy games",2025,"https://doi.org/10.1007/978-3-031-90653-4_16",2],[2,0.2955,0.7304,"Combinatorial invariance for Kazhdan–Lusztig R-polynomials of elementary intervals",2025,"https://doi.org/10.1007/s00208-025-03175-w",1],[2,0.0211,-0.8647,"Effectivity for existence of rational points is undecidable",2025,"https://doi.org/10.1016/j.jnt.2025.01.023",1],[2,-0.7964,0.3118,"Some open mathematical problems concerning charged quantum particles",2025,"https://doi.org/10.5802/crphys.249",1],[2,0.3832,-0.701,"Relations Between Indices of Calabi–Yau Varieties and Pairs",2025,"https://doi.org/10.1093/imrn/rnaf114",1],[2,-0.3252,-0.7096,"Twisted generating functions and the nearby Lagrangian conjecture",2025,"https://doi.org/10.1215/00127094-2024-0052",1],[2,-0.5412,0.3757,"One-relator hierarchies",2025,"https://doi.org/10.1215/00127094-2024-0040",2],[2,0.3177,-0.8099,"The monodromy of families of subvarieties on abelian varieties",2025,"https://doi.org/10.1215/00127094-2024-0053",1],[2,0.0222,0.0059,"Cellular pavings of fibers of convolution morphisms",2025,"https://doi.org/10.46298/epiga.2024.12352",2],[2,-0.2386,0.6242,"Exact phase transitions for stochastic block models and reconstruction on trees",2025,"https://doi.org/10.1214/24-aop1723",3],[2,0.1043,-0.7603,"On Artin's conjecture on average and short character sums",2025,"https://doi.org/10.1112/blms.70103",1],[2,-0.132,-0.6264,"BALL-EVANS APPROXIMATION PROBLEM: RECENT PROGRESS AND OPEN PROBLEMS",2025,"https://doi.org/10.1007/s10958-025-07739-8",2],[2,-0.816,-0.2441,"Bounding the K(p − 1)-local exotic Picard group at p > 3",2025,"https://doi.org/10.1016/j.topol.2025.109445",1],[2,0.2585,-0.7545,"Introduction to birational anabelian geometry",2012,"https://doi.org/10.1017/9781139032766.003",1],[2,0.4518,-0.4691,"Termination of pseudo-effective 4-fold flips",2025,"https://doi.org/10.1007/s00209-025-03766-y",4],[2,-0.7225,0.0293,"Equivariant property Gamma and the tracial local-to-global principle for C∗-dynamics",2025,"https://doi.org/10.2140/apde.2025.18.1385",1],[2,-0.5112,0.524,"Local reflections of choice",2025,"https://doi.org/10.1007/s10474-025-01533-3",1],[2,-0.066,0.3162,"Localization schemes: A framework for proving mixing bounds for Markov chains",2025,"https://doi.org/10.1215/00127094-2024-0063",4],[2,0.2187,0.7005,"A Bayesian Proof of the Spread Lemma",2025,"https://doi.org/10.1002/rsa.70008",1],[2,0.7845,0.0851,"Optimal Rounding for Sparsest Cut",2025,"https://doi.org/10.1145/3717823.3718285",1],[2,-0.648,0.1548,"On the Computational Power of QAC0 with Barely Superlinear Ancillae",2025,"https://doi.org/10.1145/3717823.3718189",2],[2,0.6445,0.4112,"Simulating Time with Square-Root Space",2025,"https://doi.org/10.1145/3717823.3718225",1],[2,0.684,0.2656,"A Generalized Trace Reconstruction Problem: Recovering a String of Probabilities",2025,"https://doi.org/10.1145/3717823.3718315",1],[2,0.2322,0.6971,"A Sharp Version of Talagrand’s Selector Process Conjecture and an Application to Rounding Fractional Covers",2025,"https://doi.org/10.1145/3717823.3718256",1],[2,0.8313,-0.1348,"How to Protect Yourself from Threatening Skeletons: Optimal Padded Decompositions for Minor-Free Graphs",2025,"https://doi.org/10.1145/3717823.3718252",1],[2,-0.8043,0.0145,"Topological dimension zero and some related properties",2025,"https://doi.org/10.5565/publmat6922506",1],[2,-0.0564,-0.7947,"Regularity from p$p$‐harmonic potentials to ∞$\\infty$‐harmonic potentials in convex rings",2025,"https://doi.org/10.1112/plms.70062",1],[2,-0.8664,0.0356,"Traces on the uniform tracial completion of Z$\\mathcal {Z}$‐stable C∗${\\rm C}^*$‐algebras",2025,"https://doi.org/10.1112/jlms.70207",1],[2,-0.3478,-0.6678,"Convergence of the hypersymplectic flow on T4$\\mathbb {T}^4$ with T3$\\mathbb {T}^3$‐symmetry",2025,"https://doi.org/10.1112/jlms.70217",1],[2,-0.3574,0.6959,"On the Replica Symmetric Solution in General Diluted Spin Glasses",2025,"https://doi.org/10.1002/rsa.70013",1],[2,0.4432,0.6535,"Undecidability of translational monotilings",2025,"https://doi.org/10.4171/jems/1673",1],[2,0.3194,-0.5761,"Bogomolov–Gieseker inequality for log terminal Kähler threefolds",2025,"https://doi.org/10.1002/cpa.70000",2],[2,-0.5591,0.4474,"The Kervaire conjecture via banach fixed points in power series groups",2025,"https://doi.org/10.1007/s00209-025-03753-3",1],[2,-0.6061,-0.1773,"K-Theory for Operator Algebras",1998,"https://doi.org/10.1017/9781009701907",3],[2,-0.182,-0.63,"Calderón Problem for Systems via Complex Parallel Transport",2025,"https://doi.org/10.1137/24m166574x",2],[2,-0.6644,-0.4842,"Tingley's problem for Schreier spaces and their p- convexifications",2025,"https://doi.org/10.1016/j.jfa.2025.111122",1],[2,0.5884,0.4787,"Dimension of homogeneous iterated function systems with algebraic translations",2025,"https://doi.org/10.1112/jlms.70222",1],[2,-0.6768,0.1826,"Bootstrapping the Quantum Hall Problem",2025,"https://doi.org/10.1103/csnn-vjhn",1],[2,-0.0986,0.6546,"Morita equivalence classes of blocks with extraspecial defect groups $$p_+^{1+2}$$",2025,"https://doi.org/10.1007/s00209-025-03791-x",2],[2,-0.7364,0.128,"Randomized and Quantum Query Complexities of Finding a King in a Tournament",2023,"https://doi.org/10.4230/lipics.fsttcs.2023.30",1],[2,-0.3708,-0.6581,"On symplectic packing problems in higher dimensions",2025,"https://doi.org/10.1007/s00208-025-03221-7",1],[2,-0.4839,-0.5607,"Lower bounds on density for topologically nontrivial minimal cones up to dimension six",2025,"https://doi.org/10.1017/fms.2025.10080",1],[2,0.792,-0.3385,"Uniformization of planar domains by exhaustion",2025,"https://doi.org/10.1353/ajm.2025.a966291",1],[2,-0.0198,0.6337,"First-order model theory and Kaplansky’s stable finiteness conjecture for surjunctive groups",2025,"https://doi.org/10.4171/ggd/885",2],[2,-0.2888,0.6804,"Bosonization of Primary Fields for the Critical Ising Model on Multiply Connected Planar Domains",2025,"https://doi.org/10.1007/s00220-025-05392-5",1],[2,0.3166,0.7021,"Bounds for the Independence and Chromatic Numbers of Locally Sparse Graphs",2025,"https://doi.org/10.1007/s00026-025-00778-7",1],[2,-0.1212,0.8089,"Extensions of characters in type D and the inductive McKay condition, II",2025,"https://doi.org/10.1007/s00222-025-01354-9",1],[2,0.007,-0.8378,"Local data of elliptic curves under quadratic twist",2025,"https://doi.org/10.1007/s40993-025-00650-w",1],[2,-0.0783,0.7463,"On the Wakamatsu tilting conjecture",2025,"https://doi.org/10.1007/s00013-025-02147-5",1],[2,-0.0126,-0.2238,"Aspherical complex surfaces, the Singer conjecture, and Gromov–Lück inequality $\\chi \\ge |\\sigma |$",2025,"https://doi.org/10.1017/s0305004125101400",2],[2,-0.3992,-0.7541,"Hypersymplectic Structures Invariant Under an Effective Circle Action",2025,"https://doi.org/10.1093/imrn/rnaf252",1],[2,0.541,-0.6201,"Semistable reduction for complex analytic spaces",2025,"https://doi.org/10.1090/tran/9365",1],[2,-0.5959,-0.2717,"The 4-dimensional disc embedding theorem and dual spheres",2025,"https://doi.org/10.1007/s00029-025-01069-y",3],[2,0.4992,-0.6962,"Big monodromy for higher Prym representations",2025,"https://doi.org/10.2140/gt.2025.29.2733",1],[2,0.7367,-0.235,"The sequence of partial sums of a unimodular power series is not ultraflat",2025,"https://doi.org/10.1016/j.jat.2025.106219",1],[2,0.6886,-0.5036,"Oka-1 manifolds",2025,"https://doi.org/10.1007/s00209-025-03833-4",1],[2,0.1264,0.781,"Polynomial property testing",2025,"https://doi.org/10.1016/j.cosrev.2025.100806",1],[2,0.8305,0.0921,"Two-state spin systems with negative interactions",2025,"https://doi.org/10.1016/j.ic.2025.105340",1],[2,-0.0528,0.8642,"Newell–Littlewood numbers III: Eigencones and GIT-semigroups",2025,"https://doi.org/10.1112/s0010437x24007759",1],[2,-0.5836,0.2782,"Mini-Workshop: New Directions in Correlated Quantum Systems",2025,"https://doi.org/10.4171/owr/2025/7",2],[2,-0.242,0.7224,"Central Limit Theorem for Multi-Point Functions of the 2D Discrete Gaussian Model at High Temperature",2025,"https://doi.org/10.1007/s00220-025-05396-1",1],[2,0.8116,-0.1577,"Affirmative Resolution of Bourgain’s Slicing Problem Using Guan’s Bound",2025,"https://doi.org/10.1007/s00039-025-00718-w",1],[2,-0.057,0.6507,"The Saxl conjecture and the tensor square of unipotent characters of GL n ( q )",2025,"https://doi.org/10.5802/alco.434",2],[2,0.7426,-0.3107,"Rigid circle domains with non‐removable boundaries",2025,"https://doi.org/10.1112/plms.70081",1],[2,-0.3048,-0.6967,"Closed geodesics and the first Betti number",2025,"https://doi.org/10.1112/plms.70085",1],[2,0.2521,0.7737,"Some Results on Fractional vs. Expectation Thresholds",2025,"https://doi.org/10.37236/12611",1],[2,-0.7107,-0.3563,"Cosmetic surgery on satellite knots",2025,"https://doi.org/10.1112/blms.70188",1],[2,0.4066,0.4818,"An uncountable Furstenberg–Zimmer structure theory – CORRIGENDUM",2025,"https://doi.org/10.1017/etds.2025.10214",3],[2,-0.5895,-0.4448,"The bounding number $\\mathfrak b$ and quotients in Banach spaces",2025,"https://doi.org/10.64191/zr24040410102",1],[2,0.0045,-0.7131,"The distribution of ℓ^{∞}-Selmer groups in degree ℓ twist families I",2025,"https://doi.org/10.1090/jams/1062",1],[2,0.4391,0.7529,"Dense minors of graphs with independence number two",2025,"https://doi.org/10.1016/j.jctb.2025.08.005",1],[2,0.4213,-0.5988,"HODGE CYCLES AND QUADRATIC RELATIONS BETWEEN HOLOMORPHIC PERIODS ON CM ABELIAN VARIETIES",2025,"https://doi.org/10.1017/s1474748025101291",1],[2,-0.696,-0.4054,"Exotic presentations of quaternion groups and Wall's D2 problem",2026,"https://doi.org/10.1016/j.jalgebra.2026.06.040",1],[2,-0.4219,-0.6517,"A note on Einstein metrics and Riemannian twistor spaces",2026,"https://doi.org/10.1007/s00209-026-04100-w",1],[2,-0.6953,0.3083,"TASI lectures on Matrix Theory from a modern viewpoint",2025,"https://arxiv.org/abs/2508.20970",1],[2,-0.6974,-0.2527,"A chromatic approach to homological stability",2025,"https://arxiv.org/abs/2508.20629",1],[2,-0.2269,0.8173,"Planar percolation and the loop O(n) model",2025,"https://arxiv.org/abs/2508.20917",1],[2,-0.3055,-0.6837,"Quadratic growth of geodesics on the two-sphere",2025,"https://arxiv.org/abs/2508.00147",1],[2,-0.6157,-0.5478,"A New Proof that the Numerical Range is a Complete 2-Spectral Set for Weighted Shift Matrices",2025,"https://arxiv.org/abs/2508.12768",1],[2,0.261,-0.5484,"Toric stratifications of character varieties",2025,"https://doi.org/10.1007/s10240-025-00158-0",2],[2,-0.6071,0.2037,"The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon",2025,"https://doi.org/10.4007/annals.2025.202.2.1",3],[2,-0.8544,-0.123,"On the first-order free group factor elementary equivalence",2025,"https://doi.org/10.7900/jot.2023sep11.246",1],[2,0.6904,-0.2882,"Exhaustions of Circle Domains",2025,"https://doi.org/10.1093/imrn/rnaf296",1],[2,0.0618,-0.7884,"Zilber–Pink in a product of modular curves assuming multiplicative degeneration",2025,"https://doi.org/10.1215/00127094-2025-0011",1],[2,-0.1249,0.858,"Geometry of regular semisimple Lusztig varieties",2025,"https://arxiv.org/abs/2504.15868",1],[2,0.394,-0.5187,"Structure theorem for projective klt pairs with nef anti-canonical divisor",2025,"https://doi.org/10.4171/jems/1702",5],[2,0.8586,-0.0804,"Isoperimetric inequalities in high-dimensional convex sets",2025,"https://doi.org/10.1090/bull/1869",1],[2,-0.1799,-0.8473,"Finite number of traces for Mumford–Shah minimizers in dimension 2",2026,"https://doi.org/10.5802/crmath.826",1],[2,-0.3983,-0.7199,"Smooth perfectness of Hamiltonian diffeomorphism groups",2025,"https://arxiv.org/abs/2509.16327",1],[2,0.6122,-0.4373,"K-theoretic Hikita conjecture for quiver gauge theories",2025,"https://arxiv.org/abs/2509.06226",1],[2,0.4535,-0.4826,"A short proof of a conjecture of Matsushita",2025,"https://doi.org/10.1016/j.aim.2025.110554",2],[2,0.4053,-0.7163,"Stein degree on log Calabi-Yau fibrations",2025,"https://arxiv.org/abs/2509.20948",1],[2,-0.7506,-0.3409,"Virtual Fibring of Manifolds and Groups",2026,"https://doi.org/10.1137/25m1804741",1],[2,0.74,-0.2981,"The centered maximal operator removes the non-concave Cantor part from the gradient",2025,"https://arxiv.org/abs/2510.01936",1],[2,0.2565,0.8054,"On the \"second\" Kahn--Kalai Conjecture: cliques, cycles, and trees",2025,"https://arxiv.org/abs/2510.02005",1],[2,0.481,-0.6819,"Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14",2026,"https://doi.org/10.1002/mana.70173",1],[2,0.0578,-0.7802,"An integral comparison of crystalline and de Rham cohomology",2025,"https://arxiv.org/abs/2507.17631",1],[2,-0.3967,0.6575,"On the rank of a random symmetric matrix in the large‐deviation regime",2026,"https://doi.org/10.1112/jlms.70581",1],[2,0.7873,-0.0351,"A note on the Steinitz lemma",2026,"https://doi.org/10.1112/mtk.70085",1],[2,0.7416,0.4037,"Polynomial Complementation of Nondeterministic 2-Way Finite Automata by 1-Limited Automata",2025,"https://doi.org/10.4230/lipics.stacs.2026.48",1],[2,-0.0916,-0.7685,"Mode stability for self-similar blowup of slightly supercritical NLS: I. low-energy spectrum",2025,"https://arxiv.org/abs/2507.11248",1],[2,-0.0852,-0.6987,"Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum",2025,"https://arxiv.org/abs/2507.11259",1],[2,-0.6693,-0.3107,"Survey on the Farrell-Jones Conjecture",2025,"https://arxiv.org/abs/2507.11337",1],[2,-0.627,0.3614,"Metric criteria for fixed price of countable groups",2025,"https://arxiv.org/abs/2510.05459",1],[2,-0.6159,0.2168,"Linear stability of Kerr black holes in the full subextremal range",2025,"https://doi.org/10.48550/arxiv.2506.21183",3],[2,0.5093,-0.6679,"Bloch's conjecture on surfaces with $p_g=q=0, K^2=9$",2025,"https://arxiv.org/abs/2508.13594",1],[2,-0.2382,0.5949,"Gaussian curvature on random planar maps and Liouville quantum gravity",2025,"https://doi.org/10.1007/s00440-025-01430-4",2],[2,-0.4646,-0.6373,"Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications",2025,"https://doi.org/10.1007/s00526-025-03155-7",1],[2,0.0741,-0.7582,"Strongly compatible systems associated to semistable abelian varieties",2025,"https://arxiv.org/abs/2505.02165",1],[2,0.0677,0.8662,"δ-rings, perfectoid towers, and lim Cohen-Macaulay sequences",2025,"https://arxiv.org/abs/2509.06527",1],[2,-0.6343,0.4412,"353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture",2025,"https://doi.org/10.48550/arxiv.2509.06914",1],[2,0.6873,-0.3575,"Sharp microlocal Kakeya--Nikodym estimates for eigenfunctions with applications",2025,"https://arxiv.org/abs/2509.01116",1],[2,-0.4203,-0.486,"Measure $0$ of the singular set for $2$-valued stationary hypercurrents",2025,"https://arxiv.org/abs/2509.05544",2],[2,-0.1318,-0.7925,"Global stable solutions to the free boundary Allen–Cahn and Bernoulli problems in 3D are one-dimensional",2026,"https://doi.org/10.1090/jams/1074",1],[2,-0.2284,0.6915,"On the duality between height functions and continuous spin models",2025,"https://doi.org/10.2140/pmp.2025.6.1291",1],[2,-0.3667,-0.5523,"A rigidity theorem for Einstein 4-manifolds with sectional curvature of a fixed sign, and its consequences",2026,"https://doi.org/10.1007/s00208-026-03547-w",2],[2,-0.6314,0.3029,"Mobility Edge for the Anderson Model on the Bethe Lattice",2025,"https://arxiv.org/abs/2503.08949",1],[2,0.5824,-0.576,"On the Nori and Hodge realisations of Voevodsky motives",2025,"https://doi.org/10.1112/s0010437x25102431",1],[2,0.472,-0.6404,"The tautological ring of ℳg,n is rarely Gorenstein",2025,"https://doi.org/10.2140/gt.2025.29.3905",1],[2,-0.5827,0.4483,"Finiteness properties of stabilisers of oligomorphic actions",2025,"https://arxiv.org/abs/2506.02319",1],[2,0.7499,-0.0814,"On p-Brunn-Minkowski and Brascamp-Lieb inequalities",2025,"https://arxiv.org/abs/2507.12099",1],[2,0.309,0.8,"Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law",2025,"https://doi.org/10.48550/arxiv.2504.09123",1],[2,0.2821,0.5806,"Infinitely many counterexamples to a conjecture of Lovász",2025,"https://arxiv.org/abs/2506.21286",2],[2,0.5893,-0.2989,"Spectral Dimension Flow, Horizon Defects, and Effective Time Rescaling: A Geometry-Driven Effective Framework for Scale-Dependent Gravity (v3.2)",2025,"https://doi.org/10.48550/arxiv.2502.17655",4],[2,-0.3139,0.7662,"Distances on the CLE4, critical Liouville quantum gravity and -stable maps",2025,"https://doi.org/10.2140/pmp.2025.6.1111",1],[2,0.2211,0.7071,"On the \"second\" Kahn--Kalai Conjecture",2025,"https://arxiv.org/abs/2508.14269",1],[2,0.3512,-0.5372,"Nonvanishing results for Kähler varieties",2025,"https://arxiv.org/abs/2508.14634",4],[2,-0.8166,0.1217,"Comparison of Extensions of Unitary Vertex Operator Algebras and Conformal Nets",2025,"https://arxiv.org/abs/2505.03235",1],[2,0.3086,0.7532,"Flip Combinatorial Invariance and Weyl groups",2025,"https://arxiv.org/abs/2509.16433",1],[2,-0.0728,-0.7951,"Unstable optimal transport maps",2026,"https://doi.org/10.5802/crmath.834",1],[2,-0.7636,0.2699,"On the Geometry and Uniqueness of Asymptotically Locally Hyperbolic Static Vacuum Black Holes",2026,"https://doi.org/10.1007/s00220-026-05717-y",1],[2,0.6567,-0.0535,"Smooth hyperbolicity cones are second-order cone representable",2025,"https://arxiv.org/abs/2509.17121",2],[2,0.0479,-0.6349,"On the $v$-adic values of G-functions I",2025,"https://doi.org/10.48550/arxiv.2510.11806",3],[2,-0.736,0.3147,"A rigorous formulation of density functional theory for spinless fermions in one dimension",2026,"https://doi.org/10.1007/s11005-026-02051-1",1],[2,-0.4031,-0.7546,"A note on $\\tmd$-operator",2025,"https://doi.org/10.48550/arxiv.2503.15939",1],[2,0.7327,-0.1439,"Minimum entropy of a log-concave variable with fixed variance",2025,"https://doi.org/10.1007/s00440-025-01431-3",1],[2,-0.3027,0.7455,"Two-sided heat kernel bounds for $\\sqrt{8/3}$-Liouville Brownian motion",2025,"https://doi.org/10.48550/arxiv.2507.13269",1],[2,0.5717,-0.5388,"Isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds",2025,"https://doi.org/10.1016/j.matpur.2025.103810",1],[2,-0.6883,0.4004,"Products of Infinite Countable Groups Have Fixed Price One",2025,"https://arxiv.org/abs/2509.08325",1],[2,-0.1065,-0.7725,"On a new region for the Lane-Emden conjecture in higher dimensions",2025,"https://arxiv.org/abs/2510.06613",1],[2,0.6101,0.4315,"Deterministic polynomial factorisation modulo many primes",2025,"https://arxiv.org/abs/2509.12705",1],[2,-0.7459,-0.2828,"Moduli Stacks of $G$-Curves in Homotopy Theory at Height $p-1$",2025,"https://arxiv.org/abs/2509.23428",1],[2,0.2154,-0.5956,"Secant Sheaves and Weil Classes on Abelian Varieties",2026,"https://doi.org/10.1137/25m1803796",2],[2,0.492,-0.6256,"Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves",2025,"https://arxiv.org/abs/2509.24990",1],[2,-0.6198,0.2492,"Equilibrium states for non relativistic Bose gases with condensation",2025,"https://arxiv.org/abs/2509.25101",3],[2,-0.3313,-0.7043,"Degenerate symplectic fixed points and Gromov-Witten invariants",2025,"https://arxiv.org/abs/2507.04191",1],[2,0.6051,0.2236,"A Differential Equation Approach to the Most-Informative Boolean Function Conjecture",2025,"https://doi.org/10.1109/isit63088.2025.11195377",2],[2,0.2582,-0.6633,"Whittaker Normalization of p -Adic ABV-Packets and Vogan’s Conjecture for Tempered Representations",2025,"https://doi.org/10.1093/imrn/rnaf316",1],[2,0.2809,0.794,"About the second neighborhood conjecture for tournaments missing two stars or disjoint paths",2025,"https://doi.org/10.55016/ojs/cdm.v20i2.77499",1],[2,-0.2646,0.6631,"Triviality of critical Fortuin-Kasteleyn decorated planar maps for $$q>4$$",2025,"https://doi.org/10.1007/s00440-025-01424-2",1],[2,0.0627,-0.7417,"Independence of $\\ell$ for Frobenius conjugacy classes attached to abelian varieties",2025,"https://doi.org/10.4007/annals.2025.202.3.3",1],[2,-0.5527,0.576,"The Ordering Principle and Higher Dependent Choice",2025,"https://arxiv.org/abs/2510.14821",1],[2,0.4569,0.4575,"On the existence of periodic invariant curves for analytic families of twist maps and billiards",2025,"https://doi.org/10.4171/rmi/1595",2],[2,0.589,-0.4615,"A mirror theorem for non-split toric bundles",2025,"https://doi.org/10.1007/s00208-025-03302-7",1],[2,0.5733,-0.2993,"Sticky Kakeya sets and the sticky Kakeya conjecture",2025,"https://doi.org/10.1090/jams/1067",2],[2,0.2731,0.7271,"Nearly all known Euclidean Ramsey sets are subsoluble",2025,"https://doi.org/10.48550/arxiv.2510.15677",1],[2,-0.1314,-0.7417,"Linearized equation and generic regularity in the Alt-Caffarelli problem",2025,"https://arxiv.org/abs/2510.18330",1],[2,0.6485,-0.5196,"Variation of cones of divisors in a family of varieties -- Fano type case",2025,"https://arxiv.org/abs/2504.04109",1],[2,0.7271,-0.2223,"Mathematical exploration and discovery at scale",2025,"https://arxiv.org/abs/2511.02864",1],[2,-0.0464,0.6396,"The problem of deciding the positivity of Kronecker coefficients and Saxl conjecture",2025,"https://arxiv.org/abs/2511.03484",2],[2,0.196,0.6069,"Further remarks on fractional vs. expectation thresholds",2025,"https://doi.org/10.48550/arxiv.2505.21782",2],[2,-0.6283,0.2249,"Proof of the Spacetime Penrose Inequality With Suboptimal Constant in the Asymptotically Flat and Asymptotically Hyperboloidal Regimes",2025,"https://arxiv.org/abs/2504.10641",4],[2,0.4454,0.4687,"Cohomological equation for geodesic flows on flat surfaces",2025,"https://arxiv.org/abs/2510.18128",2],[2,0.2219,0.7394,"Non-Abelian expansion of congruence KMS complexes",2025,"https://arxiv.org/abs/2510.18351",1],[2,0.2527,0.7701,"Fractional Vs. Expectation Thresholds: Random Support Case",2025,"https://doi.org/10.4230/lipics.aofa.2026.24",1],[2,-0.0714,0.8086,"On the generalised Foulkes conjecture for $\\mathrm{SL}_2(\\mathbb{C})$ under divisibility conditions",2025,"https://doi.org/10.48550/arxiv.2507.06220",1],[2,0.6577,-0.0128,"Plank theorems and their applications: A survey",2025,"https://doi.org/10.1112/blms.70230",3],[2,0.325,-0.5531,"Non-vanishing implies numerical dimension one abundance",2025,"https://arxiv.org/abs/2505.05250",6],[2,0.2722,-0.6818,"On Almost Strong Approximation in Reductive Algebraic Groups",2025,"https://arxiv.org/abs/2503.00696",1],[2,-0.3208,-0.7149,"Link concordance implies link homotopy",2025,"https://doi.org/10.48550/arxiv.2503.04348",1],[2,0.186,0.8315,"Wild generalised truncation of infinite matroids",2025,"https://arxiv.org/abs/2504.05064",1],[2,0.2968,-0.7709,"The valuative section conjecture, étale homotopy, and Berkovich spaces",2025,"https://doi.org/10.4310/hha.2025.v27.n2.a12",1],[2,0.4981,0.1122,"On the boundedness of the curved trilinear Hilbert transform and the curved $n-$linear maximal operator in the quasi-Banach regime",2025,"https://arxiv.org/abs/2511.07373",2],[2,0.1801,0.754,"Tight Bounds for Cycle-Edge Decompositions and Covers",2025,"https://arxiv.org/abs/2509.01901",1],[2,-0.5228,0.5464,"Partition Principle without Choice via Symmetric Iterations and Sheaf-Toposes",2025,"https://arxiv.org/abs/2511.07675",1],[2,0.0707,-0.8334,"The connected components of affine Deligne–Lusztig varieties",2025,"https://doi.org/10.1007/s00222-025-01386-1",1],[2,-0.5566,0.5687,"From Internal to External: Classical Models of ZF + PP + $\\neg$AC",2025,"https://arxiv.org/abs/2511.09764",1],[2,0.2394,-0.7235,"Numerical computation of linearized KV and the Deligne-Drinfeld and Broadhurst-Kreimer conjectures",2025,"https://arxiv.org/abs/2508.08081",1],[2,-0.3988,0.6136,"Percolation in acylindrically hyperbolic groups",2025,"https://arxiv.org/abs/2508.08932",1],[2,0.06,-0.7604,"On the $v$-adic values of G-functions III",2025,"https://doi.org/10.48550/arxiv.2510.19683",1],[2,0.5633,-0.4832,"Quaternionic-Kähler manifolds with nonnegative sectional curvature",2025,"https://arxiv.org/abs/2506.22181",1],[2,-0.0626,-0.6644,"Turing complete Navier–Stokes steady states via cosymplectic geometry",2026,"https://doi.org/10.1093/pnasnexus/pgag131",9],[2,0.7885,0.193,"Beating Meet-in-the-Middle for Subset Balancing Problems",2026,"https://doi.org/10.1145/3798129.3800841",1],[2,-0.6685,0.4966,"Construction of a Nilsemigroup of Paths in a Countable Family of Uniformly Elliptic Complexes",2025,"https://doi.org/10.1007/s10469-025-09803-3",1],[2,-0.8077,0.2717,"On the uniqueness of continuous spacetime extensions in 1+1 dimensions with applications to weak null singularities",2025,"https://arxiv.org/abs/2511.13422",1],[2,0.6534,0.2804,"Any fully graphic region of degree sequences can be sampled rapidly",2025,"https://arxiv.org/abs/2511.13564",1],[2,-0.5724,0.4119,"The geometry of subgroups of mapping tori of free groups",2025,"https://doi.org/10.48550/arxiv.2510.03145",1],[2,-0.701,0.2713,"On the Excess Charge Problem of Atoms",2025,"https://doi.org/10.48550/arxiv.2504.18487",1],[2,0.4968,-0.5984,"The blow-up of a singularity at the module of derivations",2025,"https://arxiv.org/abs/2510.07607",1],[2,-0.5068,0.3904,"Boone-Higman embeddings of $\\mathrm{Aut}(F_n)$ and mapping class groups of punctured surfaces",2025,"https://arxiv.org/abs/2503.21882",2],[2,-0.7332,-0.2463,"The Tate Intermediate Value Theorem",2025,"https://doi.org/10.1016/j.aim.2025.110675",1],[2,0.4087,-0.4958,"Beauville--Bogomolov--Yau decomposition for Kähler generalized pairs",2025,"https://arxiv.org/abs/2506.23218",5],[2,-0.6197,0.3818,"On Groups of Rectangle Exchange Transformations",2025,"https://doi.org/10.1007/s00574-025-00489-w",1],[2,-0.5198,-0.6807,"Full flexibility of isometric immersions of metrics with low Hölder regularity in Poznyak theorem's dimension",2025,"https://arxiv.org/abs/2511.16305",1],[2,-0.6176,0.2247,"The spacetime Penrose inequality for cohomogeneity one initial data",2025,"https://doi.org/10.4310/atmp.251120040338",3],[2,-0.7463,-0.2779,"A deformation of Borel equivariant homotopy",2025,"https://doi.org/10.1016/j.aim.2025.110698",1],[2,0.2826,0.5987,"Independent sets and colorings of $K_{t,t,t}$-free graphs",2025,"https://arxiv.org/abs/2511.17191",2],[2,-0.6003,0.2352,"Kinetic localization via Poincaré-type inequalities and applications to the condensation of Bose gases",2026,"https://doi.org/10.1016/j.jfa.2026.111542",3],[2,-0.6214,-0.5404,"Lipschitz-free spaces and Bossard's reduction argument",2025,"https://arxiv.org/abs/2509.00722",1],[2,0.4558,-0.4707,"Effective termination of general type MMPs in dimension at most five",2025,"https://arxiv.org/abs/2509.01501",2],[2,0.7293,-0.3748,"Bourgain’s Condition, Sticky Kakeya, and New Examples",2026,"https://doi.org/10.1007/s00039-026-00750-4",1],[2,0.5506,-0.4894,"Proof of the metric Arnold's corank problem",2025,"https://arxiv.org/abs/2509.03447",1],[2,-0.6412,0.2873,"Chemically motivated simulation problems are efficiently solvable on a quantum computer",2025,"https://doi.org/10.1039/d5dd00377f",1],[2,-0.3049,-0.7995,"Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs",2025,"https://doi.org/10.1002/cpa.70020",1],[2,-0.3539,-0.6779,"Flows of Conformally Coclosed $$G_2$$-Structures with Dilaton",2026,"https://doi.org/10.1007/s12220-026-02416-x",1],[2,0.4683,-0.6123,"Stronger Bogomolov--Gieseker type inequality on quintic threefold",2025,"https://doi.org/10.48550/arxiv.2511.21288",1],[2,-0.2721,0.6828,"Scaling limits of critical FK-decorated random planar maps with $q=4$",2025,"https://arxiv.org/abs/2511.21480",1],[2,0.5894,0.4887,"Entropy rates in the dimension theory of self-similar measures",2025,"https://arxiv.org/abs/2509.22042",1],[2,-0.7649,-0.2172,"Cohomology of $p$-adic Chevalley groups",2025,"https://arxiv.org/abs/2507.13500",1],[2,0.3747,0.6043,"Erdős’s Unit Distance Problem and Rigidity",2026,"https://doi.org/10.4230/lipics.socg.2026.83",1],[2,0.0992,-0.8165,"Density of integral points in the Betti moduli of quasi-projective varieties",2025,"https://arxiv.org/abs/2507.00167",1],[2,0.0144,-0.8038,"Rank stability in quadratic extensions and Hilbert’s tenth problem for the ring of integers of a number field",2025,"https://doi.org/10.1007/s00222-025-01392-3",1],[2,-0.6539,0.2786,"A direct approach to computing the non-interacting kinetic energy functional",2025,"https://arxiv.org/abs/2507.00321",1],[2,0.485,0.6422,"Sums and products in sets of positive density",2025,"https://arxiv.org/abs/2507.00515",1],[2,0.5968,-0.5689,"Boundedness of some fibered K-trivial varieties",2025,"https://arxiv.org/abs/2507.00973",1],[2,0.0347,-0.8166,"On the Birch-Swinnerton-Dyer conjecture for rational elliptic curves with complex multiplication and analytic rank one",2025,"https://doi.org/10.4310/pamq.251115004959",1],[2,-0.336,0.5651,"Exponentially Slow Mixing of the Low Temperature SK Model",2025,"https://arxiv.org/abs/2511.22621",2],[2,0.6954,-0.3499,"Restriction and Kakeya maximal estimates in $\\mathbb{R}^4$",2025,"https://arxiv.org/abs/2511.22824",1],[2,-0.7067,-0.2601,"Periodicity and finite complexity in higher real $K$-theories",2025,"https://arxiv.org/abs/2512.01161",1],[2,0.3264,0.5708,"Dense Matchings of Linear Size in Graphs with Independence Number 2",2025,"https://doi.org/10.48550/arxiv.2512.01401",2],[2,0.1735,-0.6523,"Bilinear obstructions in the cancellation theory of multiplicative functions",2025,"https://arxiv.org/abs/2512.01739",2],[2,0.0016,0.6483,"Gersten conjecture for K-theory on Henselian schemes and $ϕ$-motivic localisation",2025,"https://arxiv.org/abs/2512.01923",2],[2,-0.6948,0.3098,"Witten index of BMN matrix quantum mechanics",2025,"https://doi.org/10.21468/scipostphys.19.6.147",1],[2,-0.7174,0.4886,"Fundamental techniques in the study of parabolic subgroups of Artin groups",2025,"https://arxiv.org/abs/2509.08382",1],[2,0.3966,-0.5063,"Optimal bounds in Bend-and-Break",2026,"https://doi.org/10.1017/fmp.2026.10033",2],[2,0.66,-0.4823,"Every projective Oka manifold is elliptic",2026,"https://doi.org/10.4310/mrl.260503003231",1],[2,-0.8154,-0.1461,"On definability of C*-tensor norms",2025,"https://arxiv.org/abs/2509.15086",1],[2,-0.069,0.7815,"Plethystic Murnaghan–Nakayama rule via vertex operators",2025,"https://doi.org/10.1007/s10801-025-01480-w",1],[2,-0.2994,-0.6695,"On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds",2025,"https://arxiv.org/abs/2506.06110",1],[2,0.1544,-0.7788,"An inverse theorem on sets with rich additive structure modulo primes",2025,"https://arxiv.org/abs/2510.08862",1],[2,0.2424,-0.6157,"Geometric Langlands in positive characteristic from characteristic zero",2025,"https://arxiv.org/abs/2508.02237",5],[2,-0.5795,0.2693,"Self-consistent equations and quantum diffusion for the Anderson model",2025,"https://arxiv.org/abs/2506.06468",2],[2,-0.7188,0.4846,"On zero-measured subsets of Thompson's group F",2025,"https://doi.org/10.1016/j.jalgebra.2025.12.006",1],[2,0.061,-0.7427,"Some new cases of Zilber-Pink in $Y(1)^3$",2025,"https://arxiv.org/abs/2510.09603",1],[2,0.3368,-0.5627,"Optimal bounds for local volumes of threefold singularities",2025,"https://arxiv.org/abs/2512.05429",2],[2,-0.6613,-0.0326,"W⁎-superrigidity for property (T) groups with infinite center",2026,"https://doi.org/10.1016/j.aim.2026.110979",2],[2,0.6114,-0.5707,"The abundance and SYZ conjectures in families of hyperkahler manifolds",2025,"https://doi.org/10.46298/epiga.2025.14370",1],[2,-0.2093,0.6121,"Sharp character bounds and cutoff for symmetric groups",2025,"https://arxiv.org/abs/2503.12735",3],[2,0.3485,0.6245,"Barnette Graphs with Faces up to Size 8 are Hamiltonian",2025,"https://doi.org/10.48550/arxiv.2508.03531",1],[2,0.3258,0.6404,"Sidorenko’s conjecture for subdivisions and theta substitutions",2025,"https://doi.org/10.1017/s0963548325100242",1],[2,-0.6123,-0.2154,"A note on the Greek letter elements of the homotopy of the $L_n$-local spheres",2025,"https://arxiv.org/abs/2507.02155",2],[2,-0.7451,-0.3292,"The maximal coarse Baum–Connes conjecture for spaces that admit an A-by-FCE coarse fibration structure",2025,"https://doi.org/10.4171/jncg/639",1],[2,-0.6293,0.1543,"Tight bounds on depth-2 QAC-circuits computing parity",2025,"https://arxiv.org/abs/2504.06433",2],[2,0.4597,0.4577,"Local strong Birkhoff conjecture and local spectral uniqueness of almost every ellipse",2025,"https://doi.org/10.1007/s00222-025-01397-y",2],[2,0.2624,0.6723,"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture",2025,"https://doi.org/10.48550/arxiv.2504.06936",1],[2,0.2921,0.5976,"A Counterexample to a Conjecture of Lovász",2026,"https://doi.org/10.1007/s00493-026-00220-3",2],[2,-0.7197,0.1043,"Integrating positive energy representations of the Virasoro algebra",2025,"https://arxiv.org/abs/2506.08684",1],[2,-0.6939,0.0963,"Every conformal net has an associated unitary VOA",2025,"https://arxiv.org/abs/2507.20735",1],[2,0.5775,0.277,"A \\({(2+\\varepsilon )}\\)-Approximation Algorithm for Metric \\({k}\\)-Median",2026,"https://doi.org/10.1137/25m181026x",2],[2,-0.236,0.5969,"Strong confluence of geodesics in Liouville quantum gravity",2025,"https://doi.org/10.48550/arxiv.2512.09219",2],[2,0.7316,-0.2889,"Complex exponential integral means spectra of univalent functions and the Brennan conjecture",2025,"https://doi.org/10.48550/arxiv.2512.09330",1],[2,0.472,0.634,"Sums, products, and exponents in two-colorings of the naturals",2025,"https://arxiv.org/abs/2512.09598",1],[2,-0.3098,-0.6806,"Normal invariant of nearby Lagrangians via twisted derivative",2025,"https://arxiv.org/abs/2505.12515",1],[2,0.6772,-0.5112,"The generalised Mukai conjecture for spherical varieties",2025,"https://arxiv.org/abs/2502.21155",1],[2,0.4473,-0.6515,"On $\\mathbb{A}^1$-contractibility of certain simple birational extensions of affine spaces",2025,"https://arxiv.org/abs/2506.09166",1],[2,0.1307,-0.8463,"Explicit Deuring–Heilbronn phenomenon for Dirichlet 𝐿-functions",2025,"https://doi.org/10.1090/proc/17450",1],[2,-0.6161,0.5244,"Visual metrics on boundaries of hyperbolic spaces",2025,"https://doi.org/10.48550/arxiv.2506.10108",1],[2,0.045,0.662,"Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups",2025,"https://doi.org/10.1007/s00222-025-01399-w",2],[2,-0.6434,0.0127,"Nuclear C*-algebras: 99 problems",2025,"https://arxiv.org/abs/2506.10902",7],[2,-0.2388,0.668,"Factor of iid’s through stochastic domination",2025,"https://doi.org/10.1007/s11856-025-2884-1",1],[2,-0.1256,-0.7559,"On stable solutions to the Allen-Cahn equation with bounded energy density in $\\mathbb{R}^4$",2025,"https://arxiv.org/abs/2509.02739",1],[2,0.3105,0.7853,"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis",2025,"https://doi.org/10.48550/arxiv.2509.02841",1],[2,-0.4129,-0.7221,"Katok’s entropy conjecture near real and complex hyperbolic metrics",2025,"https://doi.org/10.1215/00127094-2025-0023",1],[2,-0.1711,0.7052,"Multiple SLE$_κ$ from CLE$_κ$",2025,"https://arxiv.org/abs/2503.08958",1],[2,0.4724,-0.6361,"The Bloch conjecture",2025,"https://doi.org/10.48550/arxiv.2512.12451",1],[2,0.2778,-0.6618,"Open Homomorphisms between $m$-step Solvable Galois Groups Compatible with the Cyclotomic Characters",2025,"https://arxiv.org/abs/2512.13312",1],[2,-0.6246,0.1505,"Improved Lower Bounds for QAC0",2026,"https://doi.org/10.1145/3798129.3800922",2],[2,-0.3267,-0.7688,"Constructing Riemannian Metrics With Prescribed Nodal Sets for Laplacian Eigenfunctions",2025,"https://doi.org/10.1093/imrn/rnaf362",1],[2,0.423,0.6728,"Generalised Erdős distance theory on graphs",2025,"https://doi.org/10.48550/arxiv.2505.06590",1],[2,0.7577,-0.1631,"The strong Viterbo conjecture and various flavours of duality in Lagrangian products",2025,"https://arxiv.org/abs/2505.07572",1],[2,0.5474,-0.5713,"O-minimal geometry of higher Albanese manifolds",2025,"https://arxiv.org/abs/2505.07632",1],[2,0.6282,-0.1988,"On $L^α$-flatness of Erdős-Littlewood's polynomials",2025,"https://arxiv.org/abs/2504.21499",3],[2,0.4751,0.6345,"A Generalization of Schur's Theorem",2017,"https://arxiv.org/abs/1712.03620",1],[2,0.4102,-0.6472,"On Polarized Manifolds Whose Adjoint Bundles Are Not Semipositive",2018,"https://doi.org/10.2969/aspm/01010167",1],[2,0.715,0.073,"Probabilistic methods in the geometry of Banach spaces",1986,"https://doi.org/10.1007/bfb0076302",1],[2,-0.6064,-0.4675,"Scale Mixtures of Normal Distributions",1974,"https://doi.org/10.1111/j.2517-6161.1974.tb00989.x",1],[2,-0.58,0.3934,"Reducible Diagrams and Equations Over Groups",1987,"https://doi.org/10.1007/978-1-4613-9586-7_2",1],[2,0.458,-0.4378,"Mixed Hodge Structure on the Vanishing Cohomology",1977,"https://doi.org/10.1007/978-94-010-1289-8_15",2],[2,0.6481,-0.1136,"Cuts, Trees and ℓ1-Embeddings of Graphs*",2004,"https://doi.org/10.1007/s00493-004-0015-x",2],[2,0.0624,-0.6613,"A mean value estimate for real character sums",1995,"https://doi.org/10.4064/aa-72-3-235-275",6],[2,0.0921,-0.8317,"ABC allows us to count squarefrees",1998,"https://doi.org/10.1155/s1073792898000592",1],[2,-0.107,0.7255,"Harish-Chandra vertices.",1993,"https://doi.org/10.1515/crll.1993.437.101",1],[2,0.4714,0.4464,"Double recurrence and almost sure convergence.",1990,"https://doi.org/10.1515/crll.1990.404.140",4],[2,0.5719,-0.4071,"Root systems, representations of quivers and invariant theory",1983,"https://doi.org/10.1007/bfb0063236",1],[2,0.3232,-0.5682,"Zariski-decomposition and Abundance",2004,"https://doi.org/10.2969/msjmemoirs/014010000",2],[2,0.4924,-0.6035,"Coherent Analytic Sheaves",1984,"https://doi.org/10.1007/978-3-642-69582-7",1],[2,-0.012,-0.0125,"Linear groups - Malcev's theorem and Selberg's lemma",2013,"https://arxiv.org/abs/1306.2385",2],[2,0.6239,-0.5523,"On the topology of smoothable singularities",1983,"https://doi.org/10.1090/pspum/040.1/713090",1],[2,0.0602,-0.8212,"The Algebraic and Geometric Theory of Quadratic Forms",2008,"https://doi.org/10.1090/coll/056",1],[2,0.405,-0.5776,"Lectures on Formal and Rigid Geometry",2014,"https://doi.org/10.1007/978-3-319-04417-0",1],[2,-0.4804,-0.084,"Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory",2012,"https://doi.org/10.1017/cbo9781139108133",7],[2,-0.125,-0.6287,"A Primer on Mapping Class Groups (PMS-49)",2017,"https://doi.org/10.23943/princeton/9780691147949.001.0001",2],[2,0.0737,-0.6563,"Analytic Number Theory",2004,"https://doi.org/10.1090/coll/053",4],[2,-0.1087,0.6459,"A juggler’s dozen of easy† problems",2015,"https://doi.org/10.1007/s00012-015-0333-4",2],[2,-0.212,0.824,"Random Walk: A Modern Introduction",2010,"https://doi.org/10.1017/cbo9780511750854",1],[2,-0.2391,0.6109,"Liouville quantum gravity spheres as matings of finite-diameter trees",2019,"https://doi.org/10.1214/18-aihp932",5],[2,-0.4372,0.2024,"Lectures on the Combinatorics of Free Probability",2006,"https://doi.org/10.1017/cbo9780511735127",2],[2,0.5045,-0.493,"D-Modules, Perverse Sheaves, and Representation Theory",2007,"https://doi.org/10.1007/978-0-8176-4523-6",1],[2,0.5638,-0.4814,"SOME QUESTIONS ON THE FUKUI NUMERICAL SET FOR COMPLEX FUNCTION GERMS",2010,"https://doi.org/10.1515/dema-2010-0206",1],[2,0.0282,-0.8547,"Serre-tate local moduli",1981,"https://doi.org/10.1007/bfb0090648",1],[2,-0.3595,-0.7363,"Low-Dimensional Geometry",2009,"https://doi.org/10.1090/stml/049",1],[2,0.716,0.1439,"An Introduction to the Representation Theory of Groups",2014,"https://doi.org/10.1090/gsm/155",1],[2,-0.0928,0.3016,"Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)",2008,"https://doi.org/10.1515/9781400830114",5],[2,-0.1275,-0.6283,"Sobolev Homeomorphism that Cannot be Approximated by Diffeomorphisms in W1,1",2015,"https://doi.org/10.1007/s00205-015-0895-5",2],[2,0.2453,0.7141,"Les dimensions d'un ensemble abstrait",1910,"https://doi.org/10.1007/bf01474158",1],[2,-0.1607,-0.7546,"Singular Sets of Minimizers for the Mumford-Shah Functional",2005,"https://doi.org/10.1007/b137039",1],[2,0.0941,-0.6551,"Kummer’s conjecture for cubic Gauss sums",2000,"https://doi.org/10.1007/s11856-000-1273-y",3],[2,0.6736,-0.4498,"Stability and negativity for tangent sheaves of minimal Kähler spaces",1988,"https://doi.org/10.1007/bfb0083051",1],[2,-0.6589,-0.0355,"Operator Algebras: Theory of C*-Algebras and von Neumann Algebras",2005,"https://doi.org/10.1007/3-540-28517-2",5],[2,0.7429,-0.2435,"Weights, Extrapolation and the Theory of Rubio de Francia",2011,"https://doi.org/10.1007/978-3-0348-0072-3",1],[2,-0.1099,0.7124,"The Finite Simple Groups",2009,"https://doi.org/10.1007/978-1-84800-988-2",1],[2,-0.3056,0.1929,"L2-Invariants: Theory and Applications to Geometry and K-Theory",2002,"https://doi.org/10.1007/978-3-662-04687-6",3],[2,0.3314,-0.5658,"Singularities of the Minimal Model Program",2013,"https://doi.org/10.1017/cbo9781139547895",10],[2,-0.2564,0.7772,"Sometimes-Recurse Shuffle",2014,"https://doi.org/10.1007/978-3-642-55220-5_18",1],[2,0.1584,-0.8562,"Basics of Applied Stochastic Processes",2009,"https://doi.org/10.1007/978-3-540-89332-5",1],[2,-0.1364,0.8609,"Modular Representations of Finite Groups of Lie Type",2005,"https://doi.org/10.1017/cbo9780511525940",1],[2,-0.6944,-0.5127,"Maps which preserve equality of distance",1973,"https://doi.org/10.4064/sm-45-1-43-48",1],[2,-0.1366,0.7698,"The Maximal Subgroups of the Low-Dimensional Finite Classical Groups",2013,"https://doi.org/10.1017/cbo9781139192576",1],[2,0.0231,-0.8255,"Families of Galois representations and Selmer groups",2018,"https://doi.org/10.24033/ast.782",1],[2,0.3815,-0.5221,"Espace analytique reduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie",1975,"https://doi.org/10.1007/bfb0080243",2],[2,-0.3239,0.6279,"Random K -satisfiability problem: From an analytic solution to an efficient algorithm",2002,"https://doi.org/10.1103/physreve.66.056126",1],[2,0.5303,0.6882,"ROTH’S THEOREM FOR FOUR VARIABLES AND ADDITIVE STRUCTURES IN SUMS OF SPARSE SETS",2016,"https://doi.org/10.1017/fms.2016.2",1],[2,-0.6607,-0.2574,"A primer on the Dickson invariants",1983,"https://doi.org/10.1090/conm/019/711066",1],[2,0.0302,-0.6458,"Galois representations attached to eigenforms with nebentypus",1977,"https://doi.org/10.1007/bfb0063943",4],[2,0.0064,0.6642,"Problems about higher K-functors",1973,"https://doi.org/10.1007/bfb0067050",2],[2,-0.6008,0.2703,"SCHRÖDINGER OPERATORS IN THE TWENTY-FIRST CENTURY",2000,"https://doi.org/10.1142/9781848160224_0014",3],[2,0.6582,-0.08,"The hexagonal lattice is universally locally optimal",2025,"https://arxiv.org/abs/2511.03353",2],[2,0.6652,0.0456,"On Independent Sets, 2-to-2 Games and Grassmann Graphs",2025,"https://doi.org/10.4086/toc.2025.v021a010",5],[2,0.6462,0.0355,"Towards a Proof of the 2-to-1 Games Conjecture?",2025,"https://doi.org/10.4086/toc.2025.v021a011",6],[2,-0.5229,-0.4078,"Asymptotic and nonlinear geometries of Banach spaces and their interactions",2025,"https://arxiv.org/abs/2512.00817",3],[2,-0.0306,0.8531,"New Codes on High Dimensional Expanders",2025,"https://doi.org/10.4230/lipics.ccc.2025.27",1],[2,-0.5707,0.619,"Symmetric Proofs in the Ideal Proof System",2025,"https://doi.org/10.4230/lipics.mfcs.2025.40",1],[2,0.725,0.282,"Near-Optimal Trace Reconstruction for Mildly Separated Strings",2025,"https://doi.org/10.4230/lipics.icalp.2025.3",1],[2,-0.6432,-0.3232,"Excluding cosmetic surgeries on hyperbolic 3-manifolds",2024,"https://doi.org/10.20382/jocg.v16i1a19",1],[2,-0.2022,0.8264,"A new bound for the critical point of the FK model for $q<1$",2025,"https://arxiv.org/abs/2512.16486",1],[2,-0.553,-0.4595,"Lipschitz free $$\\varvec{p}$$-spaces for $$\\varvec{0<p<1}$$ in the light of the Schur $$\\varvec{p}$$-property and the compact reduction",2025,"https://doi.org/10.1007/s12220-025-02260-5",1],[2,-0.8138,0.0308,"Centrally pure C*-algebras",2025,"https://arxiv.org/abs/2512.17261",1],[2,-0.6088,0.453,"Unordered resolutions and homological stability for linear groups",2025,"https://arxiv.org/abs/2512.18110",1],[2,0.3659,0.617,"Disproof of the Odd Hadwiger Conjecture",2025,"https://doi.org/10.48550/arxiv.2512.20392",1],[2,0.5774,-0.6039,"Hyperbolicity and fundamental groups of complex quasi-projective varieties (III): applications",2025,"https://arxiv.org/abs/2512.20360",1],[2,0.0102,-0.6421,"A rank zero $p$-converse to a theorem of Gross--Zagier, Kolyvagin and Rubin",2025,"https://doi.org/10.4007/annals.2026.203.1.1",4],[2,0.0402,-0.7064,"On locally analytic vectors of the completed cohomology of modular curves II",2025,"https://doi.org/10.4007/annals.2026.203.1.3",1],[2,-0.697,-0.2051,"Mod $p$ Poincaré duality for $p$-adic period domains",2025,"https://doi.org/10.48550/arxiv.2512.25029",1],[2,0.6447,-0.3511,"A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids",2025,"https://arxiv.org/abs/2512.24990",1],[2,-0.2553,-0.682,"The PDE-ODI principle and cylindrical mean curvature flows",2025,"https://doi.org/10.48550/arxiv.2512.25050",1],[2,0.8322,0.203,"Derandomizing Pseudopolynomial Algorithms for Subset Sum",2026,"https://doi.org/10.1137/1.9781611978971.131",1],[2,-0.5832,0.6016,"A countable-support symmetric iteration separating PP from AC",2026,"https://arxiv.org/abs/2601.01855",1],[2,0.7652,0.2645,"Nearly Tight Sample Complexity for Matroid Online Contention Resolution",2026,"https://doi.org/10.1137/1.9781611978971.171",1],[2,-0.0851,-0.7571,"Mass splitting in the time-discrete generalized Euler equations and non-Monge solutions in multi-marginal optimal transport",2026,"https://arxiv.org/abs/2601.02616",1],[2,-0.7972,0.1862,"$\\mathsf{QAC}^0$ Contains $\\mathsf{TC}^0$ (with Many Copies of the Input)",2026,"https://arxiv.org/abs/2601.03243",1],[2,0.4765,0.6203,"Sharp hypercontractivity for global functions",2026,"https://doi.org/10.4171/jems/1762",1],[2,-0.8066,-0.167,"On the Quasitrace Problem and a Characterization of W*-algebras",2026,"https://arxiv.org/abs/2601.04431",1],[2,-0.1069,-0.7137,"Uniqueness of critical points of the second Neumann eigenfunctions on triangles",2026,"https://doi.org/10.1007/s00222-025-01398-x",1],[2,0.3053,0.7392,"Combinatorial invariance for the coefficient of $q$ in Kazhdan-Lusztig polynomials",2026,"https://arxiv.org/abs/2601.07793",1],[2,-0.6624,-0.3691,"Lax functorialities of the comma construction for ω-categories",2026,"https://doi.org/10.1016/j.aim.2025.110762",1],[2,0.7011,-0.4762,"A general Schwarz lemma for Hermitian manifolds",2026,"https://doi.org/10.1112/blms.70269",1],[2,-0.8259,0.2232,"Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications",2026,"https://doi.org/10.48550/arxiv.2601.12165",1],[2,0.7186,-0.0506,"The generalized Lax conjecture is true for topological reasons related to compactness, convexity and determinantal deformations of increasing products of pointwise approximating linear forms",2026,"https://arxiv.org/abs/2601.12267",1],[2,-0.3769,-0.7158,"Closed $\\mathrm{G}_2$-structures with $\\mathbb{T}^3$-symmetry and hypersymplectic structures",2026,"https://arxiv.org/abs/2601.13747",1],[2,0.1391,-0.6298,"A uniform Linnik basic lemma and entropy bounds",2026,"https://doi.org/10.4171/cmh/613",2],[2,0.7473,-0.077,"On the log-Sobolev constant of log-concave vectors",2026,"https://doi.org/10.1016/j.jfa.2026.111368",1],[2,0.5819,-0.2957,"A streamlined proof of the Kakeya set conjecture in $\\mathbb{R}^3$",2026,"https://doi.org/10.48550/arxiv.2601.14411",3],[2,0.5453,0.4593,"Quantitative weak mixing for typical Salem substitution suspension flows",2026,"https://doi.org/10.48550/arxiv.2601.15035",1],[2,-0.5367,-0.5951,"Urysohn width and macroscopic scalar curvature",2026,"https://doi.org/10.48550/arxiv.2601.14669",1],[2,0.4206,-0.6927,"Open problems in K-stability of Fano varieties",2026,"https://arxiv.org/abs/2601.15576",1],[2,-0.7177,0.1919,"Recursive spectral relations and the charge vs neutral gap in fractional quantum Hall systems",2026,"https://doi.org/10.1063/5.0292975",1],[2,-0.1503,-0.8472,"Stability inequalities for one-phase cones",2026,"https://arxiv.org/abs/2601.16966",1],[2,0.1675,0.779,"The QBF Cover encoding for Harary Tic-Tac-Toe’s",2025,"https://doi.org/10.21428/594757db.6ae0c84a",1],[2,-0.1498,-0.7854,"Area-minimizing capillary cones",2026,"https://arxiv.org/abs/2601.18794",1],[2,0.8198,0.2553,"Distinguishing Graphs by Counting Homomorphisms from Sparse Graphs",2026,"https://arxiv.org/abs/2601.18602",1],[2,0.0702,-0.7074,"Counting square-free values of random polynomials",2026,"https://arxiv.org/abs/2601.19319",1],[2,-0.4631,-0.5875,"Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity",2026,"https://doi.org/10.1007/s12220-026-02339-7",1],[2,0.0681,-0.8667,"$G$-functions, motives, and unlikely intersections – old and new",2026,"https://doi.org/10.4171/rlm/1075",1],[2,-0.2851,-0.7716,"Singularities of Mean Curvature Flow of Surfaces",2026,"https://doi.org/10.48550/arxiv.2601.21133",1],[2,0.5176,-0.6736,"A Remark on Stability Conditions on Smooth Projective Varieties",2026,"https://arxiv.org/abs/2601.22994",1],[2,-0.4333,-0.4927,"Remarks and conjectures on stationary varifolds dedicated to Enrico Bombieri",2026,"https://doi.org/10.4171/rlm/1077",2],[2,0.5328,-0.5052,"Lagrangian fibrations onto varieties with isolated quotient singularities",2026,"https://doi.org/10.1515/crelle-2025-0096",1],[2,0.1132,-0.7624,"Numerical Computations Concerning Landau-Siegel Zeros",2026,"https://arxiv.org/abs/2602.03626",1],[2,-0.6247,-0.1859,"Profinite and solid cohomology",2026,"https://doi.org/10.1016/j.jpaa.2026.108189",3],[2,-0.2376,0.8367,"Excursion decomposition of the XOR-Ising model",2026,"https://arxiv.org/abs/2602.06011",1],[2,0.7012,0.066,"Improved SDP-Based Algorithm for Coloring 3-Colorable Graphs",2026,"https://doi.org/10.48550/arxiv.2602.05904",1],[2,-0.2288,0.7951,"The Ising magnetisation field and the Gaussian free field",2026,"https://arxiv.org/abs/2602.05886",1],[2,-0.6292,0.1978,"Area Laws and Tensor Networks for Maximally Mixed Ground States",2026,"https://doi.org/10.1007/s00220-026-05554-z",2],[2,-0.1849,-0.824,"Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)",2026,"https://doi.org/10.48550/arxiv.2602.04407",1],[2,0.3799,-0.5356,"The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties",2026,"https://doi.org/10.1016/j.matpur.2026.103876",2],[2,0.783,0.1882,"Integer multiplication is at least as hard as matrix transposition*",2025,"https://doi.org/10.1109/focs63196.2025.00072",1],[2,0.5946,0.5987,"On Complex Algebraic Caustics in Planar and Projective Billiards",2026,"https://doi.org/10.1134/s1560354726010016",1],[2,-0.3939,0.533,"First-order phase transition for Gibbs point processes with saturated interactions",2026,"https://arxiv.org/abs/2602.11078",2],[2,0.748,-0.3191,"Conformal uniformization of domains bounded by quasitripods",2026,"https://doi.org/10.1215/00127094-2025-0035",1],[2,-0.2001,0.8119,"Half-plane non-coexistence without FKG",2026,"https://arxiv.org/abs/2602.12261",1],[2,0.5628,-0.6187,"An analytic proof of Griffiths’ conjecture on compact Riemann surfaces",2026,"https://doi.org/10.1007/s00208-026-03360-5",1],[2,0.5632,-0.5946,"Singularities of base loci on abelian varieties",2026,"https://doi.org/10.4171/rlm/1088",1],[2,-0.1041,0.7363,"Alperin's bound and normal Sylow subgroups",2026,"https://doi.org/10.1112/jlms.70470",1],[2,0.4249,-0.4765,"Vanishing theorems for pseudo-effective line bundles",2026,"https://arxiv.org/abs/2602.13821",4],[2,-0.0658,0.7382,"Powers of binary forms and derived Hermite reciprocity",2026,"https://doi.org/10.48550/arxiv.2602.15175",1],[2,0.5398,-0.3523,"Fano varieties with split tangent sheaf",2026,"https://arxiv.org/abs/2602.15427",2],[2,0.5364,0.4677,"Existence of Exactly N Periodic Solutions for Liénard Systems",1996,"https://doi.org/10.24546/0100499900",1],[2,-0.2707,0.6894,"Exact solution for the three-state asymmetric Potts model on a Cayley tree",2026,"https://doi.org/10.1016/j.chaos.2026.118118",1],[2,0.7875,-0.0895,"The local logarithmic Brunn-Minkowski inequality for bodies of revolution",2026,"https://arxiv.org/abs/2602.17912",1],[2,-0.6949,0.4864,"Bestvina metric and tree reduction for $K(π,1)$-conjecture",2026,"https://doi.org/10.48550/arxiv.2602.17982",1],[2,-0.7104,0.5028,"Embedding Finitely Generated Free-by-Cyclic Groups in {Finitely Generated Free}-by-Cyclic Groups",2026,"https://doi.org/10.1093/imrn/rnag020",1],[2,0.8454,0.1513,"Hilbert's Nullstellensatz is in the Counting Hierarchy",2026,"https://arxiv.org/abs/2602.17904",1],[2,-0.6753,0.4739,"From Trees to Tripods: Proof of $K(π,1)$ for Artin groups with $ABI$-type spherical parabolics",2026,"https://doi.org/10.48550/arxiv.2602.17983",1],[2,0.7234,0.2677,"Sharp isoperimetric inequalities on the Hamming cube II: The critical exponent",2026,"https://arxiv.org/abs/2602.20462",1],[2,0.3348,-0.7899,"A NOTE ON OPEN HOMOMORPHISMS BETWEEN GLOBAL SOLVABLY CLOSED GALOIS GROUPS",2026,"https://doi.org/10.2996/kmj49104",1],[2,0.3474,0.6732,"On the logarithmic calculus and Sidorenko's conjecture",2025,"https://doi.org/10.1007/s10474-026-01582-2",1],[2,0.6909,-0.1429,"A counterexample to Viterbo's conjecture",2026,"https://doi.org/10.4007/annals.2026.203.2.5",1],[2,0.6718,0.3685,"A quadratic lower bound for 2DFAs against one-way liveness",2026,"https://doi.org/10.48550/arxiv.2602.24279",1],[2,-0.6406,0.1855,"Triplets of mutually unbiased bases",2026,"https://doi.org/10.1007/s10801-026-01506-x",2],[2,0.8403,-0.1686,"Shadow Systems, Decomposability and Isotropic Constants",2026,"https://doi.org/10.1007/s00454-026-00829-7",1],[2,-0.0988,0.7026,"Generic weights for finite reductive groups",2026,"https://doi.org/10.1007/s00208-026-03415-7",1],[2,-0.401,0.5978,"The Gaussian Wave for Graphs of Finite Cone Type",2026,"https://arxiv.org/abs/2603.04386",1],[2,0.3568,-0.6197,"Existence of the minimal model program for log canonical generalized pairs",2026,"https://arxiv.org/abs/2603.03817",1],[2,-0.6717,0.5587,"The variety of group actions on all algebraic real hyperbolic spaces",2026,"https://doi.org/10.48550/arxiv.2603.03863",1],[2,0.6181,0.1903,"Computational Complexity of the Weisfeiler-Leman Dimension",2026,"https://doi.org/10.1145/3798282",2],[2,-0.3157,0.7928,"The coordinate change formula for the Liouville quantum gravity metric holds for all conformal maps simultaneously",2026,"https://arxiv.org/abs/2603.04640",1],[2,0.6002,-0.4755,"On the irrationality of cubic fourfolds",2026,"https://arxiv.org/abs/2603.04518",1],[2,0.4081,0.5815,"Small triangles",2026,"https://doi.org/10.1112/jlms.70447",1],[2,-0.1768,0.6234,"Gaussian free field convergence of the six-vertex model with $-1\\leqΔ\\leq-\\frac12$",2026,"https://doi.org/10.48550/arxiv.2603.06268",7],[2,-0.2764,0.6877,"Circle packing and Riemann uniformization of random planar maps in an ergodic scale-free environment",2026,"https://arxiv.org/abs/2603.06528",1],[2,-0.5999,0.2436,"The Free Energy of Dilute Bose Gases at Low Temperatures Interacting Via Strong Potentials",2026,"https://doi.org/10.1007/s00023-026-01676-1",5],[2,0.6492,0.1266,"A symmetric recursive algorithm for mean-payoff games",2026,"https://doi.org/10.48550/arxiv.2603.07555",2],[2,0.2731,-0.7741,"A Continued-Fraction Criterion for the Flint Hills Series, and the Integer Sequences It Generates",2026,"https://doi.org/10.48550/arxiv.2603.09719",1],[2,-0.379,0.4202,"Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature",2026,"https://doi.org/10.1002/cpa.70038",4],[2,-0.5104,-0.698,"A Local Isoperimetric Inequality for Balls with Nonpositive Curvature",2026,"https://doi.org/10.1093/imrn/rnag043",1],[2,-0.1088,-0.8372,"Self‐Similar Blowup for the Cubic Schrödinger Equation",2026,"https://doi.org/10.1002/cpa.70042",1],[2,-0.0956,0.8671,"Virtually Gorenstein algebras of infinite dominant dimension",2026,"https://doi.org/10.1016/j.jpaa.2026.108224",1],[2,-0.6178,0.2544,"The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound",2026,"https://arxiv.org/abs/2603.13084",5],[2,0.6635,-0.2767,"Uniformization problems in the plane: A survey",2026,"https://arxiv.org/abs/2603.15098",1],[2,0.6778,-0.307,"Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates",2026,"https://arxiv.org/abs/2603.15328",1],[2,0.5595,-0.5855,"Two-step nilpotent monodromy of local systems on special varieties",2026,"https://arxiv.org/abs/2603.14539",1],[2,0.3153,-0.5822,"On the log abundance for compact Kähler threefolds II",2026,"https://doi.org/10.1112/plms.70141",2],[2,0.8059,-0.3226,"On the norms of the multiplication operators between weighted Bergman spaces",2026,"https://doi.org/10.48550/arxiv.2603.16170",1],[2,-0.6121,0.2126,"Non-linear instability of the Kerr Cauchy horizon near $i_+$",2026,"https://doi.org/10.48550/arxiv.2603.17911",3],[2,-0.0944,0.7212,"On Alperin’s conjecture and functorial equivalence of blocks",2026,"https://doi.org/10.1007/s00209-026-03999-5",1],[2,0.574,0.5557,"Joint ergodicity - 40 years on",2026,"https://arxiv.org/abs/2603.18974",1],[2,-0.6113,0.2412,"Propagation of Condensation via Neumann Localization in the Dilute Bose Gas",2026,"https://arxiv.org/abs/2603.20776",5],[2,-0.708,0.3523,"Exponential Decay in $$\\mathcal {O}(n)$$-Invariant Quantum Spin Systems",2026,"https://doi.org/10.1007/s00023-026-01690-3",1],[2,0.2865,0.7169,"Foata, Hikita, and the Bulldozer Problem",2026,"https://doi.org/10.48550/arxiv.2603.23879",1],[2,0.3381,-0.6144,"Stein degree of proper morphisms",2026,"https://arxiv.org/abs/2603.23939",1],[2,-0.8349,-0.0595,"Hyperreflexivity of Von Neumann Algebras and Similarity of Finitely Generated $$C^*$$-Algebras",2026,"https://doi.org/10.1007/s00020-026-02832-2",1],[2,0.4124,-0.679,"Minimal Log Discrepancy and Orbifold Curves",2026,"https://doi.org/10.4208/jms.v59n1.26.01",1],[2,0.6287,0.1244,"Substitution for minimizing/maximizing a tropical linear (fractional) programming",2026,"https://doi.org/10.48550/arxiv.2603.26423",2],[2,-0.1276,-0.643,"Diffeomorphic Approximation of Piecewise Affine Homeomorphisms",2026,"https://doi.org/10.1007/s12220-026-02398-w",2],[2,-0.3337,-0.72,"Legendrian and Lagrangian higher torsion",2026,"https://arxiv.org/abs/2603.28007",1],[2,-0.7248,0.0053,"The Global Glimm Property for C * ‐algebras of topological dimension zero",2026,"https://doi.org/10.1112/blms.70343",1],[2,0.3276,-0.7965,"The congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density",2026,"https://arxiv.org/abs/2603.27472",1],[2,0.2346,-0.6176,"Tempered vs generic automorphic functions and the canonical filtration on automorphic functions",2026,"https://arxiv.org/abs/2603.26925",2],[2,0.4551,0.5871,"Improved Bounds for 3-Progressions",2026,"https://arxiv.org/abs/2603.27045",1],[2,-0.6283,0.148,"Parity $\\notin$ QAC0 $\\iff$ QAC0 is Fourier-Concentrated",2026,"https://arxiv.org/abs/2604.02793",2],[2,0.5792,-0.3158,"Projections, Furstenberg sets, and the 𝐴𝐵𝐶 sum-product problem",2026,"https://doi.org/10.1090/jams/1073",2],[2,-0.6288,0.2187,"The formation of a weak null singularity in the interior of generic rotating black holes",2026,"https://doi.org/10.48550/arxiv.2604.04877",3],[2,0.599,0.2871,"$k$-Clustering via Iterative Randomized Rounding",2026,"https://doi.org/10.48550/arxiv.2604.06046",2],[2,0.6705,0.5611,"On the Fourier transform of random Bernoulli convolutions",2026,"https://doi.org/10.1112/jlms.70515",1],[2,-0.6093,0.2227,"A dimension descent scheme for the positive mass theorem in arbitrary dimension",2026,"https://arxiv.org/abs/2604.08473",2],[2,0.7157,0.3658,"The Boolean surface area of polynomial threshold functions",2026,"https://arxiv.org/abs/2604.08095",1],[2,0.4906,-0.7151,"On the family of affine threefolds a(x)y = F(x,z,t)",2026,"https://doi.org/10.1016/j.jalgebra.2026.04.008",1],[2,-0.4189,-0.6276,"Volume estimates and convergence results for solutions to Ricci flow with $$L^{p}$$ bounded scalar curvature",2026,"https://doi.org/10.1007/s00526-026-03314-4",1],[2,-0.4424,-0.6435,"Uniformisation of complete Kähler surfaces with positive sectional curvature",2026,"https://arxiv.org/abs/2604.11220",1],[2,-0.7245,0.0988,"Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm",2026,"https://doi.org/10.1103/2w94-rymn",1],[2,0.7674,-0.2962,"Brennan Conjecture for Basin of Attraction at Infinity",2026,"https://doi.org/10.48550/arxiv.2604.12240",1],[2,-0.5598,-0.4241,"Mazur's Separable Quotient Problem for Nonseparable Bourgain-Pisier $\\mathscr{L}_\\infty$-Spaces",2026,"https://doi.org/10.48550/arxiv.2604.11832",1],[2,0.7447,-0.0373,"Near-Optimal Constructive Bounds for $\\ell_2$ Prefix Discrepancy and Steinitz Problems via Affine Spectral Independence",2026,"https://arxiv.org/abs/2604.13355",1],[2,-0.01,0.771,"Skew fields not finitely generated as algebras",2026,"https://doi.org/10.48550/arxiv.2604.18480",1],[2,-0.4013,-0.7532,"The hypersymplectic flow descended from the $G_2$-Laplacian coflow",2026,"https://arxiv.org/abs/2604.18554",1],[2,0.1888,0.7537,"Construction of Regular Hadamard Matrices From Circulant Hadamard Matrices and Ryser’s Conjecture",2025,"https://doi.org/10.26713/cma.v16i3.3215",1],[2,-0.0955,0.7079,"Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences",2026,"https://doi.org/10.1016/j.jalgebra.2026.03.045",1],[2,0.3338,-0.7518,"Extremal Problems for GCDs and LCMs in Higher Dimensions",2026,"https://arxiv.org/abs/2604.21122",1],[2,-0.0768,-0.767,"Statistical Estimation of Monge Transport Maps via Brenier Potentials",2026,"https://arxiv.org/abs/2604.22366",1],[2,-0.7579,0.024,"Stable rank one, tracial local homogeneity and uniform property $Γ$",2026,"https://arxiv.org/abs/2604.24682",1],[2,0.3141,-0.5573,"Abundance for semi log canonical compact Kähler threefolds",2026,"https://arxiv.org/abs/2604.28085",2],[2,0.5099,-0.4861,"Valuative independence for Calabi--Yau varieties",2026,"https://arxiv.org/abs/2604.27890",1],[2,-0.6131,0.2208,"Riemannian Penrose inequality in all dimensions",2026,"https://arxiv.org/abs/2605.00680",3],[2,0.5434,-0.5038,"Valuative independence and metric SYZ conjecture",2026,"https://arxiv.org/abs/2605.00516",1],[2,0.7297,-0.0321,"Convexity inequalities for eigenvalues and log-concavity of eigenfunctions",2026,"https://arxiv.org/abs/2605.01334",1],[2,-0.2651,0.6498,"A Bijection Between Non-Separable Planar Maps and Fighting Fish",2026,"https://doi.org/10.37236/11653",1],[2,0.7383,0.1291,"The Existential Theory of the Reals as a Complexity Class: A Compendium",2026,"https://doi.org/10.1007/978-3-032-10503-5_5",1],[2,-0.655,0.5347,"Universal Structure of Graph Product Kernels",2026,"https://arxiv.org/abs/2605.07853",1],[2,0.6262,-0.1315,"The Mahler Conjecture in Three Dimensions",2026,"https://arxiv.org/abs/2605.09334",2],[2,0.2355,0.7105,"On Talagrand's Convexity Conjecture",2026,"https://arxiv.org/abs/2605.10908",1],[2,0.0113,-0.7643,"On the coefficients of the Taylor expansion of $L$-functions of elliptic curves",2026,"https://arxiv.org/abs/2605.09251",1],[2,-0.6197,0.2219,"Curvature-free effects from volume growth and ends-counting and their applications",2026,"https://arxiv.org/abs/2605.12403",2],[2,-0.7769,-0.2421,"Condensed Mathematics and Complex Geometry",2026,"https://arxiv.org/abs/2605.11731",1],[2,0.2975,0.5714,"Extensions of the Furstenberg-Sárközy theorem via the arithmetic level-$d$ inequality",2026,"https://doi.org/10.48550/arxiv.2605.16216",3],[2,-0.3096,-0.6751,"Generating functions in $\\mathbb{R}^{2n}$ and the Hatcher–Waldhausen map",2026,"https://doi.org/10.1007/s00222-026-01428-2",1],[2,-0.6196,0.222,"The spacetime Penrose inequality under a quasi final state hypothesis",2026,"https://arxiv.org/abs/2605.18730",2],[2,0.3398,-0.6312,"Bogomolov decomposition and compact K{ä}hler manifolds of algebraic dimension zero",2026,"https://arxiv.org/abs/2605.19713",1],[2,0.4188,0.6817,"Remarks on the disproof of the unit distance conjecture",2026,"https://doi.org/10.48550/arxiv.2605.20695",1],[2,0.4033,0.6619,"An explicit lower bound for the unit distance problem",2026,"https://doi.org/10.48550/arxiv.2605.20579",1],[2,-0.6668,0.0291,"Centrally pure C*-algebras",2026,"https://doi.org/10.1016/j.jfa.2026.111578",2],[2,-0.7594,0.0288,"Divisibility and Real Rank Zero",2026,"https://arxiv.org/abs/2605.21655",1],[2,0.1593,-0.7802,"The Poisson Tail Conjecture for primes in short intervals",2026,"https://arxiv.org/abs/2605.23014",1],[2,0.8414,-0.12,"A Tight Bound on Localization of Electrical Flows",2026,"https://arxiv.org/abs/2605.24130",1],[2,0.596,-0.284,"Pointwise Convergence of Schrödinger Operators in Bessel Potential Spaces",2026,"https://arxiv.org/abs/2605.25833",2],[2,0.0264,-0.8278,"A proof of the $4,7$ cases of Sylvester's conjecture on cube sums",2026,"https://arxiv.org/abs/2605.25917",1],[2,-0.0767,-0.8058,"Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance",2026,"https://arxiv.org/abs/2605.24232",1],[2,-0.7309,0.2598,"The $σ$-inverse mean curvature flow and the generalized Penrose conjecture",2026,"https://arxiv.org/abs/2605.26504",1],[2,-0.2036,0.6124,"The BKT transition and surface tension differentiability",2026,"https://arxiv.org/abs/2605.28473",2],[2,-0.5094,-0.4019,"On metric characterizations of tree and fragmentability indices of Banach spaces",2026,"https://arxiv.org/abs/2605.28311",4],[2,-0.2255,0.6735,"Cutoff profiles for conjugacy invariant random walks on symmetric groups",2026,"https://arxiv.org/abs/2605.28770",1],[2,0.2726,0.6051,"Off-diagonal Ramsey numbers",2026,"https://arxiv.org/abs/2605.28793",2],[2,0.7143,0.4427,"Hardness of Approximate Hylland-Zeckhauser Equilibria",2026,"https://arxiv.org/abs/2606.00951",1],[2,0.3374,-0.5653,"Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture",2026,"https://arxiv.org/abs/2606.02401",2],[2,-0.5297,-0.604,"A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity",2026,"https://arxiv.org/abs/2606.01511",1],[2,-0.159,-0.6277,"Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation",2026,"https://doi.org/10.48550/arxiv.2606.01331",2],[2,0.4532,0.6188,"Three-color van der Waerden numbers grow super-exponentially",2026,"https://doi.org/10.48550/arxiv.2606.02541",1],[2,-0.0534,-0.7881,"Infinity-harmonic functions in the plane: Regularity by injectivity",2026,"https://arxiv.org/abs/2606.08257",1],[2,0.7249,0.4509,"Fisher Markets with Approximately Optimal Bundles and the Need for a PCP Theorem for PPAD",2026,"https://doi.org/10.1145/3798129.3800817",1],[2,0.6261,0.4163,"Shifted Composition IV: Toward Ballistic Acceleration for Log-Concave Sampling",2026,"https://doi.org/10.1145/3798129.3800881",1],[2,0.7926,0.3549,"Approximation Schemes for Edit Distance and LCS in Quasi-Strongly Subquadratic Time",2026,"https://doi.org/10.1145/3798129.3800789",1],[2,-0.2256,-0.8024,"The partial data Calderón problem in dimension three",2026,"https://doi.org/10.48550/arxiv.2606.10247",1],[2,-0.7855,0.0326,"Schubert Calculus and uniform property $Γ$",2026,"https://arxiv.org/abs/2606.12188",1],[2,-0.4187,-0.6196,"A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature -- Part II",2026,"https://doi.org/10.48550/arxiv.2606.12379",1],[2,0.3235,0.8049,"Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture",2026,"https://arxiv.org/abs/2606.11776",1],[2,0.8358,0.236,"A fully Lean-verified quadratic lower bound on the border determinantal complexity of $x_1^n+\\cdots+x_n^n$ over $\\mathbb{C}$, including the symmetric and exact models",2026,"https://doi.org/10.48550/arxiv.2606.13628",1],[2,0.3059,0.7968,"Generalised Prisms and Euclidean Ramsey Theory",2026,"https://doi.org/10.48550/arxiv.2606.13472",1],[2,0.6628,-0.4937,"Fano manifolds: Invariants and families of rational curves",2026,"https://doi.org/10.1215/21562261-2024-0061",1],[2,0.748,0.2063,"Conormal Lower Bounds for Determinantal Complexity: Fermat Slices, Tight Bounds, and a Ceiling",2026,"https://doi.org/10.48550/arxiv.2606.15970",1],[2,-0.2877,-0.5996,"Integral Hamiltonian Floer theory: Foundations",2026,"https://arxiv.org/abs/2606.15847",4],[2,0.342,0.6655,"Conjugacy Class Averages and Sidorenko's Conjecture",2026,"https://arxiv.org/abs/2606.15368",1],[2,-0.3221,0.5765,"A Concavity Theorem for the Parisi PDE",2026,"https://arxiv.org/abs/2606.15432",2],[2,0.7404,0.3798,"Small moments of the sensitivity of polynomial threshold functions",2026,"https://arxiv.org/abs/2606.16004",1],[2,-0.4229,0.7594,"Free energy of non-convex multi-species spin glasses with centered Ising spins",2026,"https://arxiv.org/abs/2606.16636",1],[2,-0.4369,-0.4693,"Positive Scalar Curvature Obstructions via Singular Dimension Descent",2026,"https://arxiv.org/abs/2606.20528",2],[2,-0.4025,-0.5816,"The top Yau--Yang conjecture for Kähler manifolds with positive sectional curvature",2026,"https://arxiv.org/abs/2606.19806",1],[2,0.6981,0.3015,"Spectral Gap for the Binary Fixed-Margin Swap Chain",2026,"https://arxiv.org/abs/2606.22636",1],[2,-0.2367,0.6111,"Exact reconstruction thresholds on hypertrees over a symmetric binary alphabet",2026,"https://arxiv.org/abs/2606.21699",2],[2,-0.0845,-0.8674,"Near-Lipschitz stability of the Kim--Milman flow map",2026,"https://arxiv.org/abs/2606.23383",1],[2,-0.0789,-0.7945,"Two-mode stability for multi-marginal optimal transport maps",2026,"https://arxiv.org/abs/2606.23037",1],[2,-0.4503,-0.5381,"A quantitative stability result for regularity of optimal transport on compact manifolds",2026,"https://doi.org/10.1007/s00526-026-03367-5",1],[2,-0.6533,-0.0685,"Kadison's problem and ergodicity of the bicentralizer flow and",2026,"https://arxiv.org/abs/2606.23636",2],[2,-0.6132,0.247,"Equilibrium states for non relativistic Bose gases and the Gross-Pitaevskii limit",2026,"https://arxiv.org/abs/2606.25775",3],[2,0.0419,-0.7417,"Prescribed lifts of 2-dimensional representations",2026,"https://arxiv.org/abs/2606.25485",1],[2,-0.2038,-0.7011,"The Calderón problem for near-Euclidean metrics",2026,"https://doi.org/10.48550/arxiv.2606.26540",1],[2,-0.6214,0.2123,"Nonlinear stability of subextremal Kerr black holes",2026,"https://doi.org/10.48550/arxiv.2606.28253",2],[2,-0.587,0.4061,"The K ( π , 1 ) conjecture for Artin groups of spherical type",2026,"https://doi.org/10.5802/wbln.44",1],[2,-0.4437,-0.4693,"Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature",2026,"https://arxiv.org/abs/2606.29135",2],[2,-0.2088,-0.7095,"A Local-to-Global Propagation Principle for Dirichlet-to-Neumann Maps",2026,"https://doi.org/10.48550/arxiv.2606.29233",1],[2,0.6193,-0.5966,"Quantum Betti geometric Langlands functor",2026,"https://arxiv.org/abs/2606.29585",1],[2,0.2423,0.6618,"Locating a Seymour vertex in oriented graphs having minimum outdegree at most 7",2026,"https://arxiv.org/abs/2606.30588",1],[2,0.6108,0.1983,"Randomized k-Server in Polynomial Time",2026,"https://doi.org/10.4230/lipics.icalp.2026.65",2],[2,0.7362,0.3583,"On Tight FPT Time Approximation Algorithms for k-Clustering Problems",2026,"https://doi.org/10.4230/lipics.icalp.2026.72",1],[2,0.7939,0.0493,"A 9/4-Approximation for Directed Feedback Vertex Sets in Quasi-Transitive Digraphs",2026,"https://doi.org/10.4230/lipics.icalp.2026.96",1],[2,0.2107,0.6129,"Thin Trees for near Minimum Cuts",2026,"https://doi.org/10.4230/lipics.icalp.2026.129",2],[2,0.0044,-0.7418,"Tamagawa ratios and unbounded Selmer moments",2026,"https://doi.org/10.48550/arxiv.2606.31649",1],[2,-0.3895,0.7047,"A proof of an identity for the critical exponents of jamming",2026,"https://doi.org/10.1088/1742-5468/ae7bd7",1],[2,-0.3286,0.548,"Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature",2026,"https://doi.org/10.48550/arxiv.2607.02172",5],[2,0.0228,-0.7394,"Gross-Zagier formula for the $4, 7$ cases of Sylvester's conjecture",2026,"https://arxiv.org/abs/2607.01744",1],[2,-0.0184,0.798,"A global girth obstruction for Garg--Mineyev taiko product structures",2026,"https://arxiv.org/abs/2607.01716",1],[2,0.428,-0.592,"The Gorenstein property and Pixton's conjecture for compact type moduli",2026,"https://arxiv.org/abs/2607.02249",1],[2,-0.8545,-0.1663,"On Hyperinvariant Subspaces of Operators Containing Unilateral Shifts",2026,"https://doi.org/10.1007/s11785-026-02038-9",1],[2,0.5946,0.237,"Quasipolynomial Trace Reconstruction",2026,"https://doi.org/10.48550/arxiv.2607.04073",3],[2,0.481,-0.6174,"Stability conditions on threefolds",2026,"https://arxiv.org/abs/2607.04788",1],[2,0.635,-0.1961,"The Erdős Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand",2026,"https://doi.org/10.48550/arxiv.2607.03584",2],[2,0.3431,-0.6177,"Classification of Smooth Minimal Kähler Fourfolds Without Effective Divisors and Surfaces",2026,"https://arxiv.org/abs/2607.04536",1],[2,0.6407,0.1253,"Improved subexponential analysis of the Random-Action-Removal algorithm for 2-player turn-based games and non-binary AUSOs",2026,"https://doi.org/10.48550/arxiv.2607.06334",3],[2,0.3069,-0.6776,"The smallest denominator not contained in a unit fraction decomposition of 1 with fixed length",2026,"https://doi.org/10.1017/s0305004126102102",1],[2,-0.3372,0.5672,"Mixing of Glauber Dynamics on High Overlap Gibbs Measures",2026,"https://arxiv.org/abs/2607.06813",2],[2,-0.0484,-0.7319,"Infinity-harmonic functions and inverse mean curvature flow clusters",2026,"https://arxiv.org/abs/2607.06698",1],[2,-0.4469,0.6621,"Loop Equations Characterize Random Matrix Statistics",2026,"https://arxiv.org/abs/2607.07617",1],[2,-0.3406,0.7004,"Surviving from the tip of a cone in competing first-passage percolation",2026,"https://doi.org/10.48550/arxiv.2607.07589",1],[2,-0.8171,0.1054,"Absence of quantum advantage for approximate spin glass optimization",2026,"https://arxiv.org/abs/2607.08708",1],[2,0.6499,-0.2901,"Interactions between Quantitative Rectifiability, Singular Integrals, and Boundary Value Problems for Harmonic Functions",2026,"https://doi.org/10.1137/25m1804054",1],[2,-0.3864,-0.6174,"Eigenvalues on spheres",2026,"https://arxiv.org/abs/2607.11544",1],[2,-0.4213,0.3377,"Full replica symmetry breaking in the Sherrington-Kirkpatrick model",2026,"https://arxiv.org/abs/2607.11756",5],[2,-0.3775,0.7072,"Dynamical mean-field limit and replica-symmetric free energy for the orthogonally-invariant SK model",2026,"https://arxiv.org/abs/2607.10102",1],[2,0.685,-0.3123,"From weighted paraboloid restriction to $k$-stars and distance graphs",2026,"https://arxiv.org/abs/2607.10574",1],[2,0.6308,0.3873,"The Complexity of Computing Coarse Correlated Equilibria in Markov Games with a Single Controller",2026,"https://arxiv.org/abs/2607.10897",1],[2,-0.4228,0.7549,"The storage capacity of the Ising perceptron: verification of the outstanding numerical conditions",2026,"https://arxiv.org/abs/2607.11010",1],[2,-0.5735,-0.4225,"Tingley's Problem for Schatten \\(p\\)-Classes, $0",2026,"https://arxiv.org/abs/2607.11244",1],[2,0.4443,-0.6624,"Non-cancellative varieties, maximal tori, and the Makar-Limanov invariant",2026,"https://arxiv.org/abs/2607.13593",1],[2,-0.7786,-0.2458,"Geomatrization of the local Langlands correspondence",2026,"https://doi.org/10.24033/ast.1270",1],[2,-0.2117,-0.8073,"Large data global solution of the 3D RVM system with cylindrical symmetry II: Pointwise estimates",2026,"https://arxiv.org/abs/2607.14685",1],[2,-0.727,0.179,"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case",2026,"https://arxiv.org/abs/2607.15947",1],[2,0.1597,-0.8369,"A sharp inverse theorem for the quadratic large sieve",2026,"https://arxiv.org/abs/2607.15311",1],[2,0.2024,-0.7477,"An improvement on the largest prime factors of consecutive integers",2026,"https://arxiv.org/abs/2607.16032",1],[2,-0.1085,-0.709,"Quantitative characterization of deviations from the hot spots conjecture on convex domains in two-dimensional space forms",2026,"https://doi.org/10.48550/arxiv.2607.17882",1],[2,-0.6431,0.0782,"FRSB in the SK spin glass: convergence to full-interval support at zero temperature",2026,"https://arxiv.org/abs/2607.18032",2],[2,0.2358,-0.7335,"On free generators in the Grothendieck-Teichmüller Lie Algebra",2026,"https://arxiv.org/abs/2607.18793",1],[2,-0.3338,-0.62,"The spaces of Kähler and holomorphically tamed symplectic forms on closed 4-manifolds",2026,"https://arxiv.org/abs/2607.18778",1],[2,-0.6095,0.3577,"A Product-Neighbourhood Criterion for Fixed Price One",2026,"https://arxiv.org/abs/2607.20273",1],[2,0.6188,-0.2194,"Rough averages of triangular Hilbert transforms",2026,"https://arxiv.org/abs/2607.20206",2],[2,-0.0429,0.7717,"Quadratic Ideals in Six Variables and the Eisenbud--Green--Harris Conjecture",2026,"https://arxiv.org/abs/2607.20035",1],[2,0.7724,0.2291,"Optimal Depth-Three Circuits for Inner Product",2026,"https://doi.org/10.4230/lipics.ccc.2026.27",1],[2,-0.8178,0.2905,"The Penrose conjecture for initial data sets satisfying a $2$-convexity condition",2026,"https://arxiv.org/abs/2607.20741",1],[2,0.7059,0.2106,"Oddomorphisms and homomorphism indistinguishability over graphs of bounded degree",2026,"https://doi.org/10.1016/j.jctb.2026.07.003",1],[2,0.4851,0.6713,"An Improved Upper Bound for Colorings Without Symmetrically Colored $k$-Term Arithmetic Progressions",2026,"https://doi.org/10.48550/arxiv.2607.20752",1],[2,-0.4494,-0.6962,"Conformal Kähler rigidity of Einstein four-manifolds",2026,"https://arxiv.org/abs/2607.21538",1],[2,-0.6392,0.4936,"Finiteness properties and Higman's rope trick",2026,"https://arxiv.org/abs/2607.21727",1],[2,-0.8371,0.0255,"Subquadratic growth and uniform property \\(Γ\\)",2026,"https://arxiv.org/abs/2607.23817",1],[2,0.6786,-0.4752,"Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras",2026,"https://arxiv.org/abs/2607.24711",1],[2,0.5928,-0.4144,"The loop-nilpotent cohomological Hall algebra",2026,"https://arxiv.org/abs/2607.23544",1],[2,-0.7753,0.1959,"Bipartite Bound Information Exists",2026,"https://arxiv.org/abs/2607.25838",1],[2,0.4048,-0.5098,"On the Kähler MMP and the transcendental base-point-free theorem",2026,"https://arxiv.org/abs/2607.24986",6],[2,-0.8369,0.137,"Explicit Separations for One-Query Unitary Synthesis",2026,"https://arxiv.org/abs/2607.26478",1],[2,0.647,-0.0519,"Nearly Sharp Bounds for Lattice Coverings by Convex Bodies",2026,"https://doi.org/10.48550/arxiv.2607.28429",2],[2,0.4971,-0.6468,"Stability conditions and moduli spaces on projective families",2026,"https://arxiv.org/abs/2607.28411",1],[2,-0.6606,-0.3468,"Components in characteristic $p$ and Quillen's conjecture",2026,"https://doi.org/10.48550/arxiv.2607.27500",1],[2,-0.6482,-0.3599,"Algebraic coherators, controlled theories, and Grothendieck realizations",2026,"https://arxiv.org/abs/2607.28540",1],[2,-0.781,0.2805,"The Penrose inequality with charge for 2-convex initial data sets",2026,"https://arxiv.org/abs/2607.29447",1],[2,-0.6565,-0.0257,"ICC property (T) groups without W$^*$-superrigidity",2026,"https://arxiv.org/abs/2608.02327",2],[2,0.6307,0.3525,"Block Sensitivity can exceed Spectral Sensitivity Squared",2026,"https://doi.org/10.48550/arxiv.2608.00851",1],[2,0.6275,-0.1974,"On an Erdös Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl",2026,"https://arxiv.org/abs/2608.00744",3],[2,0.368,0.7077,"Square-Difference-Free Sets beyond the Three-Quarter Barrier",2026,"https://doi.org/10.48550/arxiv.2608.01325",1],[2,0.6323,-0.31,"Local smoothing for rough wave equations",2026,"https://arxiv.org/abs/2608.01440",1],[2,-0.3816,0.544,"Online Algorithms via Minimax and Posterior Matching",2026,"https://arxiv.org/abs/2608.01616",2],[2,-0.4915,-0.4402,"A solution to Crouzeix's conjecture",2026,"https://arxiv.org/abs/2608.03841",2],[2,-0.5629,-0.4818,"A Coarse-Lipschitz Embedding of $c_0$ into a Separable Dual Banach Space",2026,"https://arxiv.org/abs/2608.04117",1],[2,-0.0019,0.6511,"Finite-coefficient Gersten injectivity fails in ramified mixed characteristic",2026,"https://arxiv.org/abs/2608.05005",2],[2,0.8544,0.0972,"Lower bounds for cube‐ideal set‐systems",2026,"https://doi.org/10.1112/plms.70199",1],[2,0.6904,0.4573,"Exact simulation of diffusions and improved algorithms for log-concave sampling",2026,"https://arxiv.org/abs/2608.05022",1],[2,-0.3633,-0.5578,"Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature",2026,"https://arxiv.org/abs/2608.04553",2],[2,-0.3534,-0.7917,"Resonances and string point invertibility for compact rank one symmetric spaces",2026,"https://arxiv.org/abs/2608.04691",1],[2,-0.7636,-0.03,"The noncommutative topological factor theorem for rank-one product lattices",2026,"https://arxiv.org/abs/2608.07421",1],[2,0.0405,-0.8231,"Towards the Fontaine--Mazur conjecture for GL(2)",2026,"https://arxiv.org/abs/2608.07186",1],[2,0.394,-0.6477,"The sharp volume gap for Kähler manifolds with positive Ricci curvature",2026,"https://arxiv.org/abs/2608.08193",1],[2,0.2661,0.715,"A pyramid with a Ramsey base is Ramsey",2026,"https://doi.org/10.48550/arxiv.2608.09649",1],[2,-0.3456,0.5699,"Overlap distribution of the critical Sherrington-Kirkpatrick model",2026,"https://doi.org/10.48550/arxiv.2608.08752",4],[2,-0.0701,0.6367,"Tor and Ext vanishing results for commutative Artinian rings",2026,"https://doi.org/10.48550/arxiv.2608.09701",2],[2,0.2885,0.7771,"A nearcircumsphere-Ramsey Theorem for Solvable Transitive Configurations",2026,"https://doi.org/10.48550/arxiv.2608.10865",1],[2,0.0886,-0.8257,"On the Squarefree Values of Degree-$2q$ Polynomials",2026,"https://doi.org/10.48550/arxiv.2608.10335",1],[2,0.2111,0.6408,"A reformulation of the discrete Convexity Conjecture via $k$-thresholds",2026,"https://arxiv.org/abs/2608.11183",2],[2,0.6143,-0.5904,"Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations",2026,"https://arxiv.org/abs/2608.10102",1],[2,0.534,-0.6428,"Invisible singularities in complex algebraic geometry",2026,"https://arxiv.org/abs/2608.10973",1],[2,-0.4771,-0.6692,"Total curvature and isoperimetric inequalities in pinched Cartan-Hadamard manifolds",2026,"https://arxiv.org/abs/2608.12020",1],[2,0.285,0.7486,"One-point extensions of Euclidean Ramsey sets",2026,"https://doi.org/10.48550/arxiv.2608.11736",1],[2,-0.0996,0.6319,"On $2$-blocks with quaternion defect groups",2026,"https://arxiv.org/abs/2608.12052",2],[2,0.2641,0.721,"A dense-case theorem for Seymour's second neighborhood conjecture",2026,"https://arxiv.org/abs/2608.11530",1],[2,-0.7713,0.1869,"Every PPT channel has finite entanglement breaking index",2026,"https://arxiv.org/abs/2608.13551",1],[2,0.2141,-0.7711,"A Kubilius model for sieve-theoretic sequences",2026,"https://doi.org/10.1007/s10476-026-00178-w",1],[2,0.4107,0.6405,"The Erdős distinct distances problem in $\\mathbb{R}^3$",2026,"https://doi.org/10.48550/arxiv.2608.14454",1],[2,0.4384,-0.5584,"A remark on the full support property",2026,"https://arxiv.org/abs/2608.14540",1],[2,-0.1932,0.6948,"Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field",2026,"https://arxiv.org/abs/2608.14526",1],[2,0.5513,0.4653,"Max-semistable extremal behavior of AR(1)-processes connected with Bernoulli convolutions",2026,"https://doi.org/10.48550/arxiv.2608.14155",1],[2,-0.1552,-0.6434,"A sharp rigidity/flexibility threshold for the isotropic Landau equation",2026,"https://doi.org/10.48550/arxiv.2608.13758",2],[2,-0.5817,-0.6401,"Universal Volume Growth Bounds from Positive Intermediate Curvature",2026,"https://doi.org/10.48550/arxiv.2608.14507",1],[2,-0.2404,-0.8342,"Quasianalyticity and geometric rigidity in anisotropic Calderón's problem",2026,"https://doi.org/10.48550/arxiv.2608.15813",1],[2,0.6847,-0.4918,"The quantum Hikita conjecture via quasimaps",2026,"https://arxiv.org/abs/2608.16746",1],[2,-0.5175,-0.6462,"Regularity and structure of spaces with synthetic Ricci bounds and positive injectivity radius",2026,"https://doi.org/10.48550/arxiv.2608.16021",1],[2,0.6456,0.1378,"Improving the matrix multiplication exponent with modern optimization and AlphaEvolve",2026,"https://doi.org/10.48550/arxiv.2608.16884",3],[2,0.4649,-0.5937,"Stability conditions supported on Lefschetz classes",2026,"https://arxiv.org/abs/2608.16013",1],[2,0.6115,0.3717,"A Simple Algebraic Proof of the PCP Theorem",2026,"https://arxiv.org/abs/2608.17429",1],[2,-0.7073,0.2124,"A Complete Classification of Complex Hadamard Matrices of Order Six",2026,"https://doi.org/10.48550/arxiv.2608.18053",1],[2,-0.4966,-0.5305,"Simplicial Volume and Scalar Curvature on Closed Kähler Surfaces",2026,"https://arxiv.org/abs/2608.17335",1],[2,-0.0286,0.6654,"A Structural Property of Generic Initial Ideals",2026,"https://arxiv.org/abs/2608.17281",2],[2,0.3086,0.8146,"The regular pentagon is canonically Ramsey",2026,"https://doi.org/10.48550/arxiv.2608.19183",1],[2,0.4556,0.626,"A new lower bound for two-color van der Waerden numbers",2026,"https://doi.org/10.48550/arxiv.2608.20824",1],[2,0.3836,-0.5092,"Fujiki Class $\\mathcal C$ Varieties and a Kähler Criterion",2026,"https://doi.org/10.48550/arxiv.2608.20588",2],[2,-0.3001,0.7446,"Non-bijective scaling limits and phase transitions of planar maps",2026,"https://arxiv.org/abs/2608.21063",1],[2,0.8633,-0.1018,"Logarithmic Brunn--Minkowski Inequality under $n-2$ Reflection Symmetries",2026,"https://arxiv.org/abs/2608.20730",1],[2,-0.5109,-0.6044,"Volume gap for minimal submanifolds in spheres, II",2026,"https://arxiv.org/abs/2608.21144",1],[2,0.804,-0.1438,"Exact and Optimal Recursive Quantum Search via Hilbert-Space Decomposition",2026,"https://arxiv.org/abs/2608.23002",1],[2,0.6448,-0.1217,"PatchWrite: One Line, Not One Section -- Compile-Gated, Validity-Preserving Editing for AI-Drafted Manuscripts",2026,"https://arxiv.org/abs/2608.23001",2],[2,-0.3386,0.5563,"Optimal Mixing of Glauber Dynamics for the Sherrington-Kirkpatrick Model at $β< 1/2$",2026,"https://arxiv.org/abs/2608.22159",6],[2,-0.806,0.1128,"A genus zero functorial CFT associated to the vacuum sector of a conformal net",2026,"https://arxiv.org/abs/2608.24437",1],[2,0.6903,-0.5014,"Periods of Oka K3 surfaces are dense",2026,"https://arxiv.org/abs/2608.24392",1],[2,0.0635,-0.8523,"A Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varieties",2026,"https://doi.org/10.48550/arxiv.2608.24474",1],[2,-0.7558,0.3612,"Free-Energy Asymptotics of the Two-Dimensional Quantum Heisenberg Ferromagnet",2026,"https://arxiv.org/abs/2608.25506",1],[2,-0.2392,-0.6069,"New non-quadratic Euclidean complete affine maximal type hypersurfaces via Calabi affine geometry",2026,"https://doi.org/10.48550/arxiv.2608.25330",2],[2,0.5818,-0.2937,"REPAIRING THE REFINED-DECOUPLING PROOF OF THE 5/4 PLANAR PINNED FALCONER THEOREM",2026,"https://arxiv.org/abs/2608.28711",2],[2,0.6397,0.0802,"Faster FPRAS for the Permanent via Restricted Poincaré Inequalities and Coupled Flows",2026,"https://arxiv.org/abs/2608.26599",4],[2,-0.4871,-0.4324,"The Complete Crouzeix Conjecture in Dimension Three and the Clouâtre-Ostermann-Ransford conjecture",2026,"https://arxiv.org/abs/2608.27346",2],[2,-0.5638,0.4428,"Solvability of unimodular equations in groups and Lie algebras",2026,"https://arxiv.org/abs/2608.28045",1],[2,-0.5974,-0.5431,"Reflexivity of Hilbert K ( H )‐Modules and Fixed‐Point Property for Nonexpansive Mappings",2026,"https://doi.org/10.1155/jom/6311273",1],[2,0.7199,-0.3386,"Counterexamples for generalizations of the non-elliptic Schrödinger maximal operator",2026,"https://arxiv.org/abs/2608.30048",1],[2,-0.6701,-0.496,"Tingley's Problem for Haagerup Noncommutative $L_p$-Spaces, $1",2026,"https://arxiv.org/abs/2608.30131",1],[2,0.7273,-0.4685,"Class VII surfaces with $b_2=3$ and two foliations are Kato",2026,"https://arxiv.org/abs/2608.29047",1],[2,0.5754,-0.4026,"Quasimap critical cohomology, Coulomb branches, and quantum groups",2026,"https://arxiv.org/abs/2608.29400",1],[2,0.6094,-0.4716,"Wall-crossing formula and genus-one Virasoro conjecture for Fano complete intersections",2026,"https://arxiv.org/abs/2608.29870",1],[2,-0.8383,-0.1507,"Non-MF groups and non-finite full group C*-algebras",2026,"https://arxiv.org/abs/2608.28772",1],[2,0.8219,-0.1202,"A threshold phenomenon for embeddings of Euclidean snowflakes and impossibility of dimension reduction",2026,"https://arxiv.org/abs/2609.01079",1],[2,0.748,0.3841,"Disproving the Greedy Superstring Conjecture",2026,"https://arxiv.org/abs/2609.01365",1],[2,0.46,-0.7379,"A linear bound for Fujita's freeness conjecture",2026,"https://arxiv.org/abs/2609.01574",1],[2,0.5222,-0.5741,"On a construction of hermitian metrics on holomorphic vector bundles",2026,"https://arxiv.org/abs/2609.00326",1],[2,0.0379,0.7319,"Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem",2026,"https://arxiv.org/abs/2609.02718",1],[2,0.234,-0.7638,"Catalan's constant is irrational",2026,"https://arxiv.org/abs/2609.04176",1],[2,0.6511,0.0697,"Diffuse Gaussian Truncation For Deterministic Approximate Counting",2026,"https://arxiv.org/abs/2609.04079",2],[2,0.6153,-0.1803,"The Erdős similarity conjecture and Rajchman measures",2026,"https://arxiv.org/abs/2609.04456",2],[2,0.3444,0.756,"Random independent sets and local sparsity",2026,"https://arxiv.org/abs/2609.04654",1],[2,-0.6274,0.1386,"Fanout Complexity of Symmetric Boolean Functions in $\\mathsf{QAC}^0$",2026,"https://arxiv.org/abs/2609.05153",2],[2,-0.6628,-0.5483,"Sharp Metric Cotype Inequalities for $L_1$ via Nonlinear Cut Smoothing",2026,"https://doi.org/10.48550/arxiv.2609.08749",1],[2,0.6099,0.3941,"Accelerated High-Accuracy Sampling from a Warm Start via the Proximal Bouncy Particle Sampler",2026,"https://arxiv.org/abs/2609.06905",1],[2,-0.5729,0.4416,"General linear and Steinberg groups over the Leavitt algebra $L_{\\mathbb F_2}(1,2)$",2026,"https://arxiv.org/abs/2609.08428",1],[2,-0.0704,0.655,"The Auslander-Reiten conjecture for algebras with radical cube zero",2026,"https://arxiv.org/abs/2609.08679",2],[2,-0.3042,0.7647,"Discrete Approximation to Time-changed Brownian Motions",2026,"https://arxiv.org/abs/2609.07789",1],[2,0.6836,-0.5387,"Hasse Obstructions to Rationality for Special Fourfolds",2026,"https://arxiv.org/abs/2609.06759",1],[2,0.6729,0.4151,"The Fine-Grained Complexity of Approximate Nash Equilibrium and Free Games",2026,"https://doi.org/10.48550/arxiv.2609.07136",1],[2,0.333,0.556,"Beyond halfway to Hadwiger's conjecture",2026,"https://arxiv.org/abs/2609.06867",2],[2,0.7106,-0.086,"A very short unified proof of Dar's conjecture and Log-Brunn--Minkowski in the plane",2026,"https://arxiv.org/abs/2609.08495",1],[2,-0.1493,-0.687,"Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energy",2013,"https://doi.org/10.1016/j.matpur.2013.01.006",1],[2,-0.137,-0.7159,"The stability conjecture for the Bernoulli problem in dimension four",2026,"https://arxiv.org/abs/2609.05669",1],[2,0.6846,-0.3469,"Lifting curved Kakeya sets to linear Kakeya sets",2026,"https://arxiv.org/abs/2609.06299",1],[2,-0.3306,0.5742,"Quantitative Parisi formulas and fluctuations in the Sherrington-Kirkpatrick model",2026,"https://arxiv.org/abs/2609.09103",2],[2,-0.3338,0.575,"Critical-Window Fluctuations and Disorder Universality for the Sherrington--Kirkpatrick Model",2026,"https://arxiv.org/abs/2609.07446",2],[2,0.6656,0.4295,"Smoothed Picard Hamiltonian Monte Carlo",2026,"https://arxiv.org/abs/2609.06906",1],[2,-0.732,0.347,"A Note on Extended States on the Bethe Lattice",2026,"https://arxiv.org/abs/2609.06987",1],[2,0.2044,0.6168,"On $p$-Spread Measures",2026,"https://arxiv.org/abs/2609.08967",2],[2,0.5767,-0.5855,"Positivity of compact Kähler varieties admitting an int-amplified endomorphism",2026,"https://arxiv.org/abs/2609.09869",1],[2,-0.6191,0.2308,"The sharp one-dimensional Lieb-Thirring inequality for the sum of eigenvalues",2026,"https://arxiv.org/abs/2609.10478",3],[2,0.7609,0.0964,"Subexponential Approximation of the Permanent in Deterministic Polynomial Time",2026,"https://arxiv.org/abs/2609.10516",1],[2,-0.7564,-0.1055,"On the II$_{1}$ Factors of Fuchsian Groups",2026,"https://arxiv.org/abs/2609.11074",1],[2,0.756,0.0932,"A deterministic $(1+\\varepsilon)^n$ approximation for the permanent of a nonnegative matrix",2026,"https://arxiv.org/abs/2609.11049",1],[2,-0.8474,0.1506,"Near-Optimal Separations of Certificate Complexity from Randomized and Quantum Query Complexity",2026,"https://arxiv.org/abs/2609.11664",1],[2,0.8296,-0.0379,"Vector Balancing via Directional Total Variation",2026,"https://arxiv.org/abs/2609.11189",1],[2,-0.6491,-0.0591,"The classification of flows on $\\mathrm{II}_1$ factors and Connes' bicentralizer problem",2026,"https://arxiv.org/abs/2609.11462",3],[2,0.282,-0.8034,"The irrationality measure of π is at most 7.101862832357",2026,"https://doi.org/10.48550/arxiv.2609.11276",1],[2,-0.3397,0.5619,"Rank-1-perturbed trickledown theorems: Mixing time of Glauber dynamics for the Sherrington-Kirkpatrick model up to $β\\leq \\frac{1}{2}+\\varepsilon$",2026,"https://arxiv.org/abs/2609.13138",6],[2,-0.6485,0.4471,"Rewriting in Artin groups without A3 or B3 subdiagrams",2026,"https://doi.org/10.1016/j.jalgebra.2026.02.017",1],[2,0.6461,-0.0481,"Clifford Realizations of Hyperbolic Cubics",2026,"https://arxiv.org/abs/2609.12957",2],[2,0.2911,-0.8229,"Critical convergence and Hausdorff measures for generalized Flint Hills series",2026,"https://doi.org/10.48550/arxiv.2609.12338",1],[2,0.5945,-0.5339,"On symplectic aspects of $μ$-equivalence of a class of isolated hypersurface singularities",2026,"https://arxiv.org/abs/2609.12589",1],[2,0.4704,-0.6521,"The tautological ring of $M_{25}$ is not Gorenstein",2026,"https://arxiv.org/abs/2609.15949",1],[2,-0.129,-0.7477,"The stable Bernstein theorem in $\\mathbb{R}^{7}$",2026,"https://arxiv.org/abs/2609.15720",1],[2,0.7126,0.3829,"Unrestricted 2DFA simulation of 1NFAs: A Quadratic Limitation to a New Lower Bound",2026,"https://arxiv.org/abs/2609.13793",1],[2,-0.502,-0.6928,"The Cartan-Hadamard isoperimetric inequality under controlled variation of curvature",2026,"https://arxiv.org/abs/2609.14505",1],[2,0.6677,0.3021,"A Strongly Subquadratic $(3+\\varepsilon)$-Approximation for Weighted Edit Distance over Arbitrary Metrics",2026,"https://arxiv.org/abs/2609.14873",1],[2,0.1994,0.6209,"A dimension-free comparison between expectation thresholds and fractional expectation thresholds",2026,"https://arxiv.org/abs/2609.14681",2],[2,0.2843,0.5937,"Tuza's Ryser-conjecture claim for four-partite hypergraphs with matching number two",2026,"https://arxiv.org/abs/2609.14281",2],[2,0.0242,-0.7405,"A proof of Sylvester's conjecture",2026,"https://arxiv.org/abs/2609.14893",1],[2,-0.0294,0.7484,"A counterexample to the determinant approximation conjecture",2026,"https://arxiv.org/abs/2609.15567",1],[2,0.7775,0.2433,"The $k$-server conjecture is true",2026,"https://doi.org/10.48550/arxiv.2609.15979",1],[2,0.7562,0.2609,"The Matroid Secretary Conjecture is True",2026,"https://arxiv.org/abs/2609.14555",1],[2,-0.2126,-0.7576,"Local rigidity of conformally Euclidean metrics for the anisotropic Calderón problem",2026,"https://doi.org/10.48550/arxiv.2609.13400",1],[2,0.705,-0.1295,"The Petty Conjecture for Convex Bodies of Revolution",2026,"https://arxiv.org/abs/2609.13517",1],[2,0.0449,0.8647,"Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero",2026,"https://arxiv.org/abs/2609.15589",1],[2,-0.7421,0.1292,"Randomized query complexity can beat certificate complexity",2026,"https://arxiv.org/abs/2609.15063",1],[2,-0.4112,-0.6931,"The curvature estimation of the complete Kähler-Einstein metrics on the disk bundles",2026,"https://doi.org/10.48550/arxiv.2609.14482",1],[2,-0.8127,-0.0989,"On Generators for $W^{*}$-bundles",2026,"https://arxiv.org/abs/2609.16428",1],[2,0.2656,0.7851,"Rank-One Matrix Discrepancy and Algorithmic Kadison--Singer",2026,"https://arxiv.org/abs/2609.17266",1],[2,-0.2128,-0.7591,"The anisotropic Calderón problem: rigidity near the Euclidean metric",2026,"https://doi.org/10.48550/arxiv.2609.17261",1],[2,0.7202,0.1874,"High-Multiplicity Bin Packing is FPT",2026,"https://arxiv.org/abs/2609.16923",1],[2,-0.4502,-0.6279,"A proof of the Cartan-Hadamard conjecture for small volumes under a Ricci curvature lower bound",2026,"https://arxiv.org/abs/2609.17093",1],[2,-0.064,0.6404,"Igusa--Todorov Algebras and the Auslander--Reiten Conjecture",2026,"https://doi.org/10.48550/arxiv.2609.14453",2],[2,-0.7037,0.1617,"QAC0 Can Prepare Every Logarithmic-Qubit State",2026,"https://arxiv.org/abs/2609.17408",1],[2,0.6198,0.1926,"The Classical Weisfeiler-Leman Algorithm Stabilizes in $O(n)$ Rounds",2026,"https://arxiv.org/abs/2609.17364",2],[2,-0.4274,-0.6101,"Conditional Uniformization of Kähler Surfaces",2026,"https://arxiv.org/abs/2609.18506",1],[2,-0.4579,-0.6621,"An $m$-Hessian approach to Yau uniformization conjecture",2026,"https://arxiv.org/abs/2609.18171",1],[2,0.7019,0.2443,"On the Strong Matroid Secretary Conjecture and Beyond",2026,"https://arxiv.org/abs/2609.19118",1],[2,-0.0771,0.6473,"On the homological conjectures for Artin algebras",2026,"https://doi.org/10.48550/arxiv.2609.19172",2],[2,-0.4308,-0.5001,"Rectifiability of every finite order for stationary integral varifolds",2026,"https://arxiv.org/abs/2609.19979",2],[2,0.2394,0.7794,"Fractional expectation thresholds and the \"second\" Kahn-Kalai conjecture",2026,"https://arxiv.org/abs/2609.20546",1],[2,0.8175,0.0959,"Fast FPRAS for the Permanent",2026,"https://arxiv.org/abs/2609.20717",1],[2,0.7938,0.3657,"Metric Weighted Edit Distance: $(3+\\varepsilon)$-Approximation in $\\widetilde O_\\varepsilon(N^{1.6})$ Time",2026,"https://arxiv.org/abs/2609.20796",1],[2,-0.199,-0.7103,"On an inverse boundary problem in elastodynamics",2026,"https://arxiv.org/abs/2609.20134",1],[2,-0.442,-0.4929,"Stationary varifolds with singularities II",2026,"https://arxiv.org/abs/2609.20647",2],[2,-0.4727,-0.6467,"The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds",2026,"https://arxiv.org/abs/2609.20517",1],[2,-0.5053,-0.394,"The Kadets--Werner modification of Bourgain--Rosenthal space is asymptotically midpoint uniformly convex",2026,"https://doi.org/10.48550/arxiv.2609.21283",6],[2,-0.133,-0.7703,"Stable De Giorgi conjecture of the Allen--Cahn equation in $\\mathbb{R}^3$",2026,"https://arxiv.org/abs/2609.21680",1],[2,0.0343,0.8166,"A local cohomology obstruction to small Cohen--Macaulay modules",2026,"https://arxiv.org/abs/2609.24142",1],[2,-0.1088,-0.812,"Blow-up for energy supercritical defocusing nonlinear Schrödinger equations in dimensions three, four and five",2026,"https://arxiv.org/abs/2609.23685",1],[2,0.6443,-0.0453,"The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials",2026,"https://doi.org/10.48550/arxiv.2609.24542",2],[2,-0.0239,0.751,"A Machine-Checked Proof that Gardam's $\\tilde{A}_2$ Lattice Does Not Have Unique Products",2026,"https://arxiv.org/abs/2609.22380",1],[2,0.8243,0.1277,"SC Derandomization for Regular ROBPs and Models Beyond BPL",2026,"https://arxiv.org/abs/2609.23603",1],[2,-0.364,-0.556,"On Positively Curved Einstein Four-Manifolds with Euler Characteristic at Most Three",2026,"https://arxiv.org/abs/2609.23337",2],[2,-0.3881,-0.7691,"Blaschke Conjecture and Complex Geometry",2026,"https://arxiv.org/abs/2609.23822",1],[2,0.2288,0.7889,"Kadison--Singer partitions and Bilu--Linial graph signings in polynomial time",2026,"https://arxiv.org/abs/2609.23855",1],[2,-0.7783,0.2043,"Bootstrap certification of string order in quantum spin chains",2026,"https://arxiv.org/abs/2609.22420",1],[2,0.6508,0.2657,"A Simpler and Faster Min-Cost Flow Solver via Min-Ratio Cycles from Distance Oracles",2026,"https://arxiv.org/abs/2609.23852",1],[2,0.5961,0.2285,"Dictators are most informative",2026,"https://arxiv.org/abs/2609.24184",2],[2,-0.0683,0.6501,"The Auslander--Reiten conjecture for quantum complete intersections",2026,"https://doi.org/10.48550/arxiv.2609.24007",2],[2,-0.0996,0.7641,"On the inductive blockwise Alperin weight condition for type $\\mathsf B$ and type $\\mathsf C$",2026,"https://arxiv.org/abs/2609.24774",1],[2,0.2892,0.7566,"A cyclic non-Ramsey heptagon",2026,"https://arxiv.org/abs/2609.23327",1],[2,-0.2895,0.5872,"The Scaling Window of Random $k$-SAT",2026,"https://arxiv.org/abs/2609.26222",4],[2,0.5355,-0.5843,"A first-jet characterization of Griffiths positivity",2026,"https://arxiv.org/abs/2609.26528",1],[2,-0.1569,-0.7416,"Solution of the Mumford-Shah conjecture",2026,"https://arxiv.org/abs/2609.26732",1],[2,0.3574,-0.5419,"Irrational Seshadri constants from dihedral orbits",2026,"https://arxiv.org/abs/2609.26521",2],[2,-0.5949,0.2451,"Lee-Huang-Yang Energy for Dilute Bose Gases: an Upper Bound for General Potentials",2026,"https://arxiv.org/abs/2609.25314",4],[2,0.4448,-0.4873,"Compact Kähler surfaces with semipositive anticanonical bundle",2026,"https://arxiv.org/abs/2609.26716",7],[2,0.2259,-0.7278,"Improved rational approximations to Catalan's constant",2026,"https://arxiv.org/abs/2609.26354",1],[2,0.555,-0.6061,"Ample vector bundles without Griffiths-semipositive metrics",2026,"https://arxiv.org/abs/2609.26504",1],[2,0.6204,0.2225,"A Proof of the Most Informative Boolean Function Conjecture",2026,"https://arxiv.org/abs/2609.24931",2],[2,0.1011,-0.8673,"Power Reductivity over an Arbitrary Base",2010,"https://doi.org/10.4171/dms/5/5",1],[2,-0.7846,-0.1738,"A separably representable counterexample to Naimark's problem in ZFC",2026,"https://arxiv.org/abs/2609.26930",1],[2,0.791,-0.0303,"Tighter bounds on Komlós discrepancy: existence and algorithmic results",2026,"https://arxiv.org/abs/2609.27172",1],[2,0.3143,-0.5545,"On the homology of algebraic varieties over real closed fields.",1982,"https://doi.org/10.1515/crll.1982.335.122",2],[2,0.602,0.2164,"The Most Informative Bit and Beyond: A Proof of the Courtade--Kumar Conjecture and Multibit Extensions",2026,"https://arxiv.org/abs/2609.26444",2],[2,-0.1404,-0.8449,"Stable solutions of the Allen--Cahn equation in dimension three are one-dimensional",2026,"https://arxiv.org/abs/2609.30194",1],[2,0.8185,-0.0308,"Fast Spectral Signing for Vector Balancing",2026,"https://arxiv.org/abs/2609.30044",1],[2,-0.7239,0.1639,"Classical Capacity and Entanglement Cost of the Amplitude Damping Channel",2026,"https://arxiv.org/abs/2609.28592",1],[2,-0.3615,-0.5498,"Einstein four-manifolds of positive sectional curvature and ADM mass",2026,"https://arxiv.org/abs/2609.30803",2],[2,0.3182,-0.7174,"Counterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shifts",2026,"https://arxiv.org/abs/2609.30870",1],[2,0.3062,-0.6991,"Counterexamples to the inhomogeneous Duffin-Schaeffer Conjecture",2026,"https://arxiv.org/abs/2609.30921",1],[2,0.8012,0.2784,"Settling the Matroid Secretary Problem",2026,"https://arxiv.org/abs/2609.30421",1],[2,0.7581,0.0692,"Improved SDP Coloring of 3-Colorable Graphs from Recursive Gaussian Certificates",2026,"https://arxiv.org/abs/2609.33684",1],[2,0.6475,0.4226,"Sharp Gaussian divergence and Bernstein-Markov inequalities",2026,"https://arxiv.org/abs/2609.32851",1],[2,0.7446,0.2073,"A Quadratic Lower Bound on Determinantal Complexity",2026,"https://doi.org/10.48550/arxiv.2609.34462",1],[2,-0.3025,-0.6553,"A Smooth Hamiltonian Diffeomorphism with Two Fixed Points on $S^2\\times S^2$",2026,"https://arxiv.org/abs/2609.33626",1],[2,0.6539,-0.318,"An improved high-low method for the parabola",2026,"https://arxiv.org/abs/2609.33949",1],[2,-0.7535,0.1217,"All Unitaries Have Constant Depth Quantum Circuits",2026,"https://arxiv.org/abs/2609.40351",1],[2,0.7028,0.454,"High-accuracy simulation of Picard HMC, part I: Gaussian cloud correction",2026,"https://arxiv.org/abs/2609.38710",1],[2,0.8139,0.1082,"Log-concavity and Approximate Counting for Totally Unimodular Polytopes",2026,"https://arxiv.org/abs/2609.39917",1],[2,-0.4099,0.6651,"Sharp singularity asymptotics for discrete random matrices",2026,"https://arxiv.org/abs/2609.39463",1],[2,0.8395,0.149,"Approximate Polynomial Satisfiability is in the Counting Hierarchy",2026,"https://arxiv.org/abs/2610.00644",1],[2,0.4861,-0.6068,"Abundance for threefolds in positive characteristic when nu equals 2 ν = 2 $\\nu=2$",2026,"https://doi.org/10.1017/s0010437x26103406",1],[2,0.7919,0.0725,"Coloring 3-colorable graphs with $O(n^{4/23})$ colors via a Gaussian-cover recursion",2026,"https://arxiv.org/abs/2610.01071",1],[2,0.4248,0.7312,"A shorter proof of the linear list Hadwiger conjecture",2026,"https://arxiv.org/abs/2610.01946",1],[2,0.8493,-0.0678,"Covering large-dimensional Euclidean spaces by random translates of a given convex body",2025,"https://doi.org/10.48550/arxiv.2510.25685",1],[2,0.3302,-0.7571,"General Duffin--Schaeffer-type counterexamples in diophantine approximation",2025,"https://arxiv.org/abs/2504.16565",1],[2,-0.7936,0.1674,"The classical capacity of generalized amplitude-damping channels and its strong-converse exponent",2026,"https://arxiv.org/abs/2609.14621",1],[2,0.0677,-0.7859,"Crystalline representations and F-crystals",2007,"https://doi.org/10.1007/978-0-8176-4532-8_7",1],[2,0.0488,-0.6394,"Théorie des motifs et interprétation géométrique des valeurs p-adiques de G-functions (une introduction)",1995,"https://doi.org/10.1017/cbo9780511661990.003",2],[2,0.7548,-0.0341,"Zwei sätze über ebene vektorpolygone",1931,"https://doi.org/10.1007/bf02941002",1],[2,0.8285,0.1425,"Symbolic-numeric methods for solving polynomial equations and applications",2005,"https://doi.org/10.1007/3-540-27357-3_3",1],[2,0.5684,0.5794,"Solutions of weakly reversible chemical reaction networks are bounded and persistent",2010,"https://doi.org/10.3182/20100707-3-be-2012.0018",1],[2,0.7786,-0.0929,"Products of Unconditional Bodies",1995,"https://doi.org/10.1007/978-3-0348-9090-8_3",1],[2,0.3915,-0.5277,"Segre classes and Hilbert schemes of points",2017,"https://doi.org/10.24033/asens.2320",2],[2,0.6601,-0.4607,"La métrique de Kobayashi et la représentation des domaines sur la boule",1981,"https://doi.org/10.24033/bsmf.1948",1],[2,0.7345,0.1743,"A Faster Pseudopolynomial Time Algorithm for Subset Sum",2017,"https://doi.org/10.1137/1.9781611974782.68",1],[2,-0.6515,0.4494,"Virtually compact special hyperbolic groups are conjugacy separable",2016,"https://doi.org/10.4171/cmh/397",1],[2,-0.3503,-0.6892,"Blaschke’s Conjecture for Sphere",1978,"https://doi.org/10.1007/978-3-642-61876-5_13",1],[2,-0.7579,-0.3796,"Le type d'homotopie du groupe des difféomorphismes d'une surface compacte",1973,"https://doi.org/10.24033/asens.1242",1],[2,-0.1853,0.7535,"On stationary sequences of random variables and the de Finetti's equivalence",1957,"https://doi.org/10.4064/cm-4-2-149-156",1],[2,0.401,-0.5142,"Classification Theory of Algebraic Varieties and Compact Complex Spaces",1975,"https://doi.org/10.1007/bfb0070570",3],[2,0.6625,-0.2455,"On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series",1989,"https://doi.org/10.4064/sm-94-3-235-244",1],[2,0.2544,0.7436,"Quelques problèmes concernant les espaces métriques non-séparables",1935,"https://doi.org/10.4064/fm-25-1-534-545",1],[2,0.3146,0.7578,"On a problem of P. Turan concerning graphs",1955,"https://doi.org/10.4064/fm-41-1-137-145",1],[2,-0.5992,-0.4435,"Der Fixpunktsatz in Funktionalraümen",1930,"https://doi.org/10.4064/sm-2-1-171-180",1],[2,0.5848,-0.5554,"On the de Rham Cohomology Group of a Compact Kähler Symplectic Manifold",2018,"https://doi.org/10.2969/aspm/01010105",1],[2,-0.4002,0.7232,"On the Gaussian Perceptron at High Temperature",2002,"https://doi.org/10.1023/a:1015840632110",1],[2,0.5142,-0.5682,"On foliations with nef anti-canonical bundle",2015,"https://doi.org/10.1090/tran/6873",1],[2,0.2625,-0.6882,"Spectral Decomposition and Eisenstein Series",1995,"https://doi.org/10.1017/cbo9780511470905",1],[2,0.8676,-0.0227,"On the Impossibility of Dimension Reduction for Doubling Subsets of $\\ell_{p}$",2015,"https://doi.org/10.1137/140977655",1],[2,-0.6306,-0.2135,"Moduli spaces of commutative ring spectra",2004,"https://doi.org/10.1017/cbo9780511529955.009",4],[2,0.7714,-0.078,"Concentration of measure and logarithmic Sobolev inequalities",1999,"https://doi.org/10.1007/bfb0096511",1],[2,0.277,-0.8109,"Recovering function fields from their decomposition graphs",2011,"https://doi.org/10.1007/978-1-4614-1260-1_24",1],[2,0.7992,-0.3021,"Note on differentiation of integrals and the halo conjecture",1985,"https://doi.org/10.4064/sm-81-1-29-36",1],[2,0.0306,-0.8573,"Induced representations of reductive ${\\germ p}$-adic groups. II. On irreducible representations of ${\\rm GL}(n)$",1980,"https://doi.org/10.24033/asens.1379",1],[2,-0.6572,0.0193,"Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary",2012,"https://arxiv.org/abs/1209.3000",2],[2,-0.7667,0.2819,"A survey of certain trace inequalities",1994,"https://doi.org/10.4064/-30-1-287-298",1],[2,0.2431,-0.8234,"On the distribution of the values of Euler's function",1986,"https://doi.org/10.4064/aa-47-1-63-70",1],[2,-0.4746,0.6729,"Local trapping for elliptic random walks in random environments in $$\\mathbb {Z}^d$$",2015,"https://doi.org/10.1007/s00440-015-0646-4",1],[2,0.3345,-0.8008,"The Brauer-Manin obstructions for homogeneous spaces with connected or abelian stabilizer.",1996,"https://doi.org/10.1515/crll.1995.473.181",1],[2,-0.3532,0.5335,"Convergence of Local Statistics of Dyson Brownian Motion",2017,"https://doi.org/10.1007/s00220-017-2955-1",2],[2,0.4457,0.6737,"Drei Sätze über die n-dimensionale euklidische Sphäre",1933,"https://doi.org/10.4064/fm-20-1-177-190",1],[2,0.7103,-0.2713,"Une série de Fourier-Lebesgue divergente presque partout",1923,"https://doi.org/10.4064/fm-4-1-324-328",1],[2,-0.1577,0.6387,"Demonstration simplifiee d'un theoreme de Knight",2006,"https://doi.org/10.1007/bfb0058859",3],[2,0.1214,-0.7802,"Exponents of the class groups of complex quadratic fields",1973,"https://doi.org/10.4064/aa-22-2-117-124",1],[2,0.3281,0.5747,"Zur allgemeinen Kurventheorie",1927,"https://doi.org/10.4064/fm-10-1-96-115",2],[2,-0.3574,0.72,"The Ergodic Theory of Subadditive Stochastic Processes",1968,"https://doi.org/10.1111/j.2517-6161.1968.tb00749.x",1],[2,-0.7931,0.2599,"Quantum statistical mechanics of general mean field systems",1989,"https://doi.org/10.5169/seals-116175",1],[2,0.827,0.2844,"Ueber die Zahl der Teile, in welche die nfache Totalität durch eine beliebige Menge (n − 1)facher linearer Kontinua geteilt wird",1901,"https://doi.org/10.1007/978-3-0348-5118-3_18",1],[2,0.4433,-0.4952,"A proof of Demailly's strong openness conjecture",2015,"https://doi.org/10.4007/annals.2015.182.2.5",4],[2,0.2566,-0.6515,"Les Constantes des Equations Fonctionnelles des Fonctions L",2009,"https://doi.org/10.1007/978-3-540-37855-6_7",1],[2,-0.1057,-0.7136,"Lecture #1. 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Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance. OpenAI Math Rele",2026,"",1],[2,0.7037,0.3963,"OpenAI. Generalized Star Height at Most Four. OpenAI Math Release preprint OAI:Generalized-Star-Height-at-Most",2026,"",1],[2,0.7316,0.4123,"OpenAI. Generalized Star Height at Most Three. OpenAI Math Release preprint OAI:Generalized-Star-Height-at-Mos",2026,"",1],[2,0.1952,0.7318,"OpenAI, Integral and fractional expectation thresholds are equivalent, OpenAI Math Release preprint OAI:Integr",2026,"",1],[2,0.0661,0.8231,"OpenAI, Lech's multiplicity conjecture, OpenAI Math Release preprint OAI:Lechs-multiplicity-conjecture-Septemb",2026,"",1],[2,0.5856,0.4018,"OpenAI. Localization costs and information growth for exact Gaussian observations. OpenAI Math Release preprin",2026,"",1],[2,-0.3138,0.6876,"OpenAI. Marked polygon correlations and one-arc bounds. OpenAI Math Release preprint OAI:Marked-polygon-correl",2026,"",1],[2,-0.3004,0.642,"OpenAI. Mass and covering exponents for fixed-length honeycomb walks. OpenAI Math Release preprint OAI:Mass-an",2026,"",1],[2,0.8046,0.2513,"OpenAI. Parity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence. OpenAI Math Release pre",2026,"",1],[2,0.7965,-0.14,"OpenAI. Planar Graph Metrics Embed into L_1 with Constant Distortion. OpenAI Math Release preprint OAI:Planar-",2026,"",1],[2,-0.3525,0.7591,"OpenAI. Polynomial vacuum representations and bridge mass for honeycomb walks. OpenAI Math Release preprint OA",2026,"",1],[2,0.1029,-0.8087,"OpenAI, Prime Predecessors with an Even Number of Prime Factors, OpenAI Math Release preprint OAI:Prime-Predec",2026,"",1],[2,0.1139,-0.8438,"OpenAI, Primitive roots for every admissible integer base, OpenAI Math Release preprint OAI:Primitive-roots-fo",2026,"",1],[2,-0.3214,0.6752,"OpenAI. Radial transfer estimates and polygon length laws for honeycomb walks. OpenAI Math Release preprint OA",2026,"",1],[2,0.2545,-0.657,"OpenAI. 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On the integrability of the derivative of conformal mapping",1978,"",1],[2,0.8123,-0.0199,"245A, Notes 5: Differentiation theorems",2010,"",1],[2,0.3719,0.6705,"254A, Lecture 9: Ergodicity",2008,"",1],[2,0.1706,-0.6289,"254A, Notes 1: Elementary multiplicative number theory",2014,"",2],[2,0.1695,-0.6271,"254A, Notes 2: Complex-analytic multiplicative number theory",2014,"",2],[2,0.1319,-0.7373,"254A, Notes 4: Some sieve theory",2015,"",1],[2,0.8612,0.1301,"29th Annual Conference on Learning Theory",2016,"",1],[2,0.4481,0.6725,"A 63-dimensional counterexample to Borsuk's conjecture",2026,"",1],[2,0.3635,0.6182,"A Borsuk theorem for antipodal links and a spectral characterization of linklessly embeddable graphs",1998,"",1],[2,0.6346,0.5673,"A Collection of Mathematical Problems",1960,"",1],[2,0.389,0.717,"A colour problem for infinite graphs and a problem in the theory of relations",1951,"",1],[2,0.3417,0.7923,"A combinatorial problem",1960,"",1],[2,0.1408,0.1142,"A combinatorial problem in geometry",1935,"",3],[2,-0.6406,-0.5818,"A common fixed point theorem for a commuting family of nonexpansive mappings",1974,"",1],[2,0.044,-0.6523,"A common generalization of the conjectures of André–Oort, Manin–Mumford, and Mordell–Lang",2005,"",4],[2,-0.3966,-0.5863,"A complete proof of the Poincaré and geometrization conjectures—application of the Hamilton–Perelman theory of the Ricci flow",2006,"",1],[2,0.6803,0.44,"A Complete Recipe for Stochastic Gradient MCMC",2015,"",1],[2,-0.4296,-0.6634,"A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone",1997,"",1],[2,-0.5523,0.5978,"A Computational Introduction to Number Theory and Algebra",2009,"",1],[2,0.4851,-0.6728,"A conjectural description of the tautological ring of the moduli space of curves",1999,"",1],[2,-0.8661,-0.0357,"A counterexample to Connes's rigidity conjecture",2026,"",1],[2,-0.4632,0.5451,"A Course in Model Theory I: Introduction",2021,"",1],[2,-0.2082,0.6246,"A crossing estimate for the canonical process on a Dirichlet space and a tightness result",1988,"",2],[2,0.8391,0.1426,"A Decision Method for Elementary Algebra and Geometry",1951,"",1],[2,0.6589,0.4457,"A device for quantizing, grouping, and coding amplitude-modulated pulses",1949,"",1],[2,-0.6501,-0.0218,"A factor of type II_1 with countable fundamental group",1980,"",2],[2,0.6034,-0.5145,"A finiteness theorem for quaternionic-Kähler manifolds with positive scalar curvature",1993,"",1],[2,-0.6963,-0.2611,"A general algebraic approach to Steenrod operations",1970,"",1],[2,0.8406,0.0976,"A general method for solving extremal problems",1967,"",1],[2,0.7768,0.0636,"A Hard-Core Predicate for All One-Way Functions",1989,"",1],[2,0.3016,-0.7822,"A-infinity algebras, modules and functor categories",2006,"",1],[2,-0.0211,0.7493,"A January 2005 invitation to random groups",2005,"",1],[2,-0.1179,-0.8136,"A Liouville theorem for the Hénon–Lane–Emden system in four and five dimensions",2022,"",1],[2,-0.1119,-0.775,"A Liouville theorem for the subcritical Lane–Emden system",2019,"",1],[2,0.0292,-0.832,"A local-global question in automorphic forms",2013,"",1],[2,-0.0286,0.145,"A Mathematical Theory of Communication",1948,"",3],[2,-0.7493,-0.0187,"A Matrix Projection of Non-Integer Trace over G Gives a Projection of Fractional Trace in C^*_r(G* Z), So Kadison–Kaplansky Is Equivalent to the Torsion-Free Trace Conjecture",2026,"",1],[2,0.3039,0.7124,"A minimal problem concerning complete plane graphs",1964,"",1],[2,0.4664,0.522,"A multiplicative ergodic theorem. Characteristic Ljapunov exponents of dynamical systems",1968,"",1],[2,0.0324,-0.0264,"A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems",1968,"",2],[2,-0.1148,0.7138,"A new proof of the congruence lattice representation theorem",1976,"",1],[2,0.7617,0.2765,"A Normal Form in Free Fields",1994,"",1],[2,0.4777,-0.6637,"A note on complete intersections of Fermat type",1986,"",1],[2,-0.8625,-0.003,"A note on quasi-diagonal C^*-algebras and homotopy",1991,"",1],[2,-0.6217,0.417,"A note on Shavgulidze's papers concerning the amenability problem for Thompson's group F",2011,"",1],[2,0.8463,-0.1681,"A note on Sylvester's problem for random polytopes in a convex body",1999,"",1],[2,-0.3775,0.5342,"A note on the energy inequalities for increasing processes",1992,"",2],[2,0.204,-0.7753,"A note on the extension of Lipschitz functions",1984,"",1],[2,0.2844,-0.6569,"A note on the sieve method of A. Selberg",1962,"",1],[2,-0.3002,0.5902,"A polynomial scaling window for random (k)-SAT and a proof of the satisfiability conjecture",2026,"",4],[2,-0.6099,-0.5078,"A positive solution to Tingley's problem",2026,"",1],[2,-0.102,-0.6972,"A priori bounds for positive solutions of nonlinear elliptic equations",1981,"",1],[2,-0.5573,-0.4928,"A proof of Alon's second eigenvalue conjecture and related problems",2004,"",1],[2,-0.4745,-0.6183,"A rapidly convergent iteration method and non-linear partial differential equations—I",1966,"",1],[2,0.3663,0.7294,"A reduction of a graph to canonical form and an algebra arising during this reduction",1968,"",1],[2,-0.7035,-0.2608,"A reformulation of the Arf invariant one mod p problem and applications to atomic spaces",1983,"",1],[2,0.0018,-0.6551,"A relation between automorphic representations of GL(2) and GL(3)",1978,"",2],[2,-0.8285,-0.2492,"A relation between two moduli spaces studied by V. G. Drinfeld",2002,"",1],[2,-0.1232,-0.8427,"A Rellich type identity and applications",1993,"",1],[2,-0.0465,-0.7214,"A remark on infinity harmonic functions",2001,"",1],[2,-0.1062,0.6548,"A remark on the finite lattice representation problem",1999,"",2],[2,0.0615,-0.764,"A review of non-Archimedean elliptic functions",1995,"",1],[2,-0.6836,0.1836,"A Self-Validating Numerical Method for the Matrix Exponential",1989,"",1],[2,0.5429,0.6095,"A shadowing lemma with applications to semilinear parabolic equations",1989,"",1],[2,0.432,-0.7494,"A short course on multiplier ideals",2010,"",1],[2,-0.6714,-0.4996,"A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies",1976,"",1],[2,-0.7004,0.0221,"A short proof of Lévy's continuity theorem without using tightness",2021,"",1],[2,0.5484,0.5948,"A short proof of the variational principle for a Z_+^N action on a compact space",1976,"",1],[2,0.5639,-0.6533,"A short remark on [2]",2017,"",1],[2,0.5326,0.5967,"A Simple Introduction to Ergodic Theory",2008,"",1],[2,0.1897,-0.7746,"A simple proof of Bazzi's theorem",2008,"",1],[2,-0.3797,0.5471,"A simple proof of E. Hopf's maximal ergodic theorem",1965,"",3],[2,0.7519,-0.0343,"A simplification of the solution to the Komlós Conjecture",2026,"",1],[2,0.7181,-0.0614,"A single-lattice covering bound of order n n",2026,"",1],[2,0.7251,-0.4848,"A splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces",1993,"",1],[2,0.0221,-0.7666,"A stable trace formula. I. General expansions",2002,"",1],[2,-0.6992,0.2695,"A study of the spectrum of the Schrödinger operator for a system of several particles",1960,"",1],[2,0.2613,0.729,"A Summary of Results and Problems Related to the Caccetta–Häggkvist Conjecture",2006,"",1],[2,0.3672,0.6579,"A Survey and Strengthening of Barnette's Conjecture",2005,"",1],[2,0.6886,0.2756,"A Theorem on Flows in Networks",1957,"",1],[2,-0.7628,-0.0001,"A theorem on rings of operators",1951,"",1],[2,0.7178,0.4085,"A Tight Lower Bound on Certificate Complexity in Terms of Block Sensitivity and Sensitivity",2014,"",1],[2,0.3162,-0.5719,"A transcendental approach to Kollár's injectivity theorem",2012,"",2],[2,-0.3081,-0.5078,"A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order",1957,"",4],[2,-0.0461,0.8147,"A universal property of the Cayley–Chow space of algebraic cycles",1996,"",1],[2,0.4944,0.4979,"A User's Guide to Measure Theoretic Probability",2002,"",1],[2,-0.6714,0.5335,"A User's Guide to Spectral Sequences",2001,"",1],[2,0.0104,-0.6378,"Abelian -adic representations and elliptic curves",1968,"",4],[2,0.0372,-0.798,"Abelian l-adic Representations and Elliptic Curves",1989,"",1],[2,0.0716,-0.724,"Abelian motives and Shimura varieties in nonzero characteristic",2025,"",1],[2,0.0639,-0.3734,"Abelian Varieties",2008,"",7],[2,0.4746,-0.6772,"Abelian varieties associated to certain K3 surfaces",1988,"",1],[2,0.4135,-0.5828,"Abelian Varieties: Chapter XI, Polarizations and Weil pairings",2011,"",1],[2,0.013,-0.7498,"Abelian Varieties over Q with Large Endomorphism Algebras and Their Simple Components over Q",1995,"",1],[2,-0.7171,0.4747,"About amenability of subgroups of the group of diffeomorphisms of the interval",2009,"",1],[2,0.5404,0.4473,"Absolute continuity of Bernoulli convolutions, a simple proof",1996,"",1],[2,0.3342,-0.5452,"Abundance conjecture for 3-folds: case =1",1988,"",6],[2,0.1771,0.8308,"Achieving Snaky",2007,"",1],[2,0.1261,-0.8138,"Acta Arith",2020,"",1],[2,0.7909,-0.1188,"Acta litterarum ac scientiarum Regiae Universitatis Hungaricae Francisco-Josephinae: Sectio scientiarum mathematicarum",1932,"",1],[2,-0.5727,-0.5082,"Acta Math",1972,"",1],[2,-0.5598,-0.4991,"Acta Sci. Math. (Szeged)",1953,"",1],[2,-0.3859,0.4659,"Acta Scientiarum Mathematicarum (Szeged)",1950,"",2],[2,0.4263,-0.6151,"Addenda to Lefschetz motives and the Tate conjecture",0,"",1],[2,0.0338,-0.8354,"Addendum to: Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)",0,"",1],[2,0.4747,-0.6796,"Addendum to Polarizations and Grothendieck's standard conjectures",0,"",1],[2,0.8201,-0.1484,"Adv. Math",2002,"",1],[2,0.0395,-0.1678,"Advanced Complex Analysis",2017,"",3],[2,-0.2417,0.7094,"Advances in Applied Mathematics",1987,"",1],[2,0.4196,-0.5834,"Advances in Mathematics",2008,"",1],[2,0.6336,0.4321,"Advances in Neural Information Processing Systems",2017,"",1],[2,-0.2349,-0.5992,"Affine minimal hypersurfaces",1979,"",2],[2,0.371,-0.5481,"AK-invariant of affine domains",2007,"",2],[2,-0.3031,-0.6438,"Algebraic and Geometric Surgery",2002,"",1],[2,0.4034,0.646,"Algebraic Curves: An Introduction to Algebraic Geometry",2008,"",1],[2,0.3768,-0.6736,"Algebraic Geometry: Salt Lake City 2015, Part 1",2018,"",1],[2,0.2465,-0.6101,"Algebraic Groups and Number Theory",1994,"",2],[2,-0.6774,-0.3519,"Algebraic groups of type D_4, triality, and composition algebras",2013,"",1],[2,0.3627,-0.6594,"Algebraic Groups: Structure and Actions",2017,"",1],[2,0.1598,-0.2429,"Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field",2022,"",13],[2,0.5588,-0.6423,"Algebraic hyperbolicity of fine moduli spaces",2000,"",1],[2,-0.3258,-0.7138,"Algebraic K-theory of spaces, a manifold approach",1982,"",1],[2,0.0851,-0.1371,"Algebraic Number Theory",2020,"",14],[2,0.5564,0.4617,"Algebraic Numbers and Fourier Analysis",1963,"",1],[2,-0.1253,-0.0178,"Algebraic Topology",2002,"",31],[2,0.6404,0.4415,"Algorithmic Number Theory",1994,"",1],[2,-0.5032,-0.5715,"Almgren's Big Regularity Paper",2000,"",1],[2,-0.5076,-0.567,"Almgren's Big Regularity Paper: Q-Valued Functions Minimizing Dirichlet's Integral and the Regularity of Area-Minimizing Rectifiable Currents up to Codimension 2",2000,"",1],[2,0.0494,0.7732,"Almost étale extensions",2002,"",1],[2,-0.4302,-0.6073,"Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it",1939,"",1],[2,-0.6659,0.4529,"Almost Koszul Duality and Rational Conformal Field Theory",2007,"",1],[2,-0.7507,-0.3128,"Ambidexterity in (K(n))-local stable homotopy theory",2013,"",1],[2,0.6328,0.4456,"Amer. J. Math",1957,"",1],[2,0.4144,-0.7572,"American Journal of Mathematics",1998,"",1],[2,0.7787,-0.0369,"An Algorithm for Finding a Near-Optimal Rearrangement in the Steinitz Functional",2023,"",1],[2,0.3716,0.7614,"An analog of Freiman's theorem in groups",1999,"",1],[2,0.381,0.607,"An elementary proof of the strong converse theorem for the multiple-access channel",1982,"",1],[2,0.3043,-0.5644,"An embedding theorem for real analytic spaces",1979,"",2],[2,-0.8622,-0.0121,"An Epsilon of Room, I: Real Analysis: Pages from Year Three of a Mathematical Blog",2010,"",1],[2,0.711,0.2856,"An Exact Estimate of an Algorithm for Finding a Maximum Flow, Applied to the Problem “On Representatives”",1973,"",1],[2,-0.3076,0.6676,"An exact Hausdorff gauge for SLE: A moment-integral and finite-batch construction",2026,"",1],[2,-0.6917,0.1279,"An exact quantum polynomial-time algorithm for Simon's problem",1997,"",1],[2,-0.5024,-0.6785,"An example of a two-dimensional Riemannian metric admitting no local realization in E^3",1971,"",1],[2,-0.464,-0.6853,"An example of neckpinching for Ricci flow on (S^n+1)",2004,"",1],[2,-0.7277,-0.4305,"An exotic presentation of Q_28",2021,"",1],[2,-0.3448,0.7799,"An explicit exact Hausdorff gauge for SLE: A regular formula from quantitative tails and dense visits",2026,"",1],[2,0.6616,0.3938,"An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas",2014,"",1],[2,0.6222,0.3653,"An Exponential Lower Bound for the Sum of Powers of Bounded Degree Polynomials",2012,"",1],[2,0.0213,-0.0152,"An inequality for the entropy of differentiable maps",1978,"",2],[2,0.6686,0.2912,"An Inequality of Hadamard Type for Permanents",2006,"",1],[2,-0.1104,-0.7546,"An integral system and the Lane–Emden conjecture",2009,"",1],[2,-0.762,0.1426,"An integral version of Shor's factoring algorithm",2001,"",1],[2,-0.7924,-0.3346,"An Introduction to Categories and Sheaves",2023,"",1],[2,0.4048,0.0327,"An Introduction to Complex Analysis in Several Variables",1990,"",2],[2,0.5133,0.7037,"An introduction to hyperplane arrangements",2007,"",1],[2,-0.5582,0.1137,"An introduction to II_1 factors",0,"",2],[2,0.5024,0.125,"An Introduction to Measure Theory",2011,"",3],[2,0.4772,-0.439,"An Introduction to O-minimal Geometry",1999,"",2],[2,-0.4125,-0.7146,"An Introduction to Riemannian Symmetric Spaces",2021,"",1],[2,-0.6473,-0.2718,"An Introduction to Semialgebraic Geometry",2000,"",1],[2,-0.0388,0.7494,"An Introduction to Sheaves on Grothendieck Topologies",0,"",1],[2,0.1673,-0.745,"An Introduction to the Geometry of Numbers",1959,"",1],[2,0.323,-0.7147,"An invitation to additive prime number theory",2005,"",1],[2,-0.8386,-0.0549,"An invitation to the similarity problems (after Pisier)",2006,"",1],[2,0.7588,0.2113,"An Upper Bound for the Permanent versus Determinant Problem",2012,"",1],[2,0.3177,0.7545,"An upper bound to the crossing number of the complete graph drawn on the pages of a book",1994,"",1],[2,0.1166,-0.8039,"Anal. Math",2018,"",1],[2,0.6441,-0.2874,"Analysis of and on Uniformly Rectifiable Sets",1993,"",1],[2,-0.1644,0.6408,"Analytic continuation of inner function-operators",1972,"",2],[2,0.3943,-0.5307,"Analytic Methods in Algebraic Geometry",2012,"",7],[2,0.7332,-0.3059,"Analytic Topology",1942,"",1],[2,0.5889,0.3919,"Angenäherte Auflösung von Systemen linearer Gleichungen",1937,"",1],[2,-0.6792,0.5014,"Ann. Acad. Sci. Fenn. Math",1999,"",1],[2,0.1177,-0.7661,"Ann. of Math",2004,"",1],[2,0.0521,0.7504,"Ann. of Math. (2)",2010,"",1],[2,0.1137,-0.775,"Ann. Sci. Math. Québec",2011,"",1],[2,0.105,-0.6945,"Ann. Soc. Sci. Bruxelles",1896,"",1],[2,0.1992,-0.1103,"Annales de l'Institut Fourier",1956,"",3],[2,-0.7489,0.3408,"Annales de l'Institut Henri Poincaré A, Physique théorique",1983,"",1],[2,-0.7427,0.3353,"Annales de l'Institut Henri Poincaré C, Analyse non linéaire",1990,"",1],[2,-0.6956,0.2876,"Annales de l'Institut Henri Poincaré, Section A",1983,"",1],[2,-0.2034,-0.7273,"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze",2008,"",1],[2,0.4601,-0.6487,"Annali della Scuola Normale Superiore di Pisa, Scienze Fisiche e Matematiche",1969,"",1],[2,0.1552,-0.1207,"Annals of Mathematics",2007,"",3],[2,0.3063,0.7046,"Another Small but Long Step for Crossing Numbers: cr(13)=225 and cr(14)=315",2021,"",1],[2,0.1402,-0.6859,"Answer to: Positive proportion of logarithmic gaps between consecutive primes",2019,"",1],[2,0.5018,0.56,"Anti-classification results for weakly mixing diffeomorphisms",2024,"",1],[2,0.0273,-0.8227,"Anti-cyclotomic Katz p-adic L-functions and congruence modules",1993,"",1],[2,-0.3556,-0.7026,"Any Blaschke manifold of the homotopy type of CP^n has the right volume",1991,"",1],[2,0.3956,-0.6759,"Appendix: Rational singularities",2009,"",1],[2,-0.8302,0.1963,"Approximate Inclusion-Exclusion for Arbitrary Symmetric Functions",2009,"",1],[2,0.7721,0.046,"Approximating NP-hard Problems: Efficient Algorithms and Their Limits",2009,"",1],[2,-0.6378,0.4136,"Are Unitarizable Groups Amenable?",2004,"",1],[2,0.7114,0.4177,"Arithmetic Circuits: A Chasm at Depth Four",2008,"",1],[2,0.0545,-0.7433,"Arithmetic Compactifications of PEL-Type Shimura Varieties",2021,"",1],[2,-0.0565,-0.5574,"Arithmetic Duality Theorems",2006,"",8],[2,0.3613,-0.0637,"Arithmetic Geometry",2009,"",2],[2,0.0333,-0.6652,"Arithmetic Moduli of Elliptic Curves",1985,"",3],[2,0.249,0.0531,"Astérisque",1985,"",3],[2,-0.8001,-0.0025,"Asymptotic unitary equivalence in KK-theory",2001,"",1],[2,-0.2346,0.7659,"Asymptotical behaviour for some functionals of positively and negatively dependent random fields",1998,"",1],[2,-0.8119,-0.0698,"Asymptotically commuting finite rank unitary operators without commuting approximants",1983,"",1],[2,0.2082,-0.7014,"Asymptotics of a recurrent sequence: 10682",2000,"",1],[2,0.2266,-0.8387,"Asymptotische Abschätzung einer allgemeinen zahlentheoretischen Funktion",1937,"",1],[2,0.2335,-0.593,"ATLAS of Finite Group Representations",2026,"",2],[2,0.2554,-0.612,"Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups",1985,"",2],[2,-0.2156,-0.7698,"Außenraumaufgaben in der Theorie stationärer Schwingungen inhomogener elastischer Körper",1969,"",1],[2,0.6072,-0.5024,"Automorphisms and local rigidity of regular varieties",1996,"",1],[2,0.5183,-0.619,"Automorphisms of bounded domains in C^n",1976,"",1],[2,-0.6063,0.6208,"Axiomatic Set Theory",2020,"",1],[2,0.3307,-0.7119,"Az 1/x_1+1/x_2+ +1/x_n=a/b egyenlet egész számú megoldásairól",1950,"",1],[2,0.3596,0.633,"B-sets and planar maps",1971,"",1],[2,0.0401,-0.6494,"Base Change for GL(2)",1980,"",2],[2,-0.1685,-0.7305,"BBGKY Hierarchy for Positive Potentials",1975,"",1],[2,0.6214,0.4316,"Bell System Tech. J",1967,"",1],[2,0.0137,-0.7026,"Bemerkung zur vorstehenden Arbeit von Herrn Chevalley",1935,"",1],[2,0.616,-0.2454,"Bergman space methods and integral means spectra of univalent functions",2007,"",2],[2,-0.6258,-0.1774,"Berkeley Lectures on p-adic Geometry",2020,"",2],[2,0.3978,0.5368,"Beweis einer Baudetschen Vermutung",1927,"",3],[2,0.2358,-0.0502,"Beweis eines Satzes von Tschebyschef",1932,"",3],[2,0.3192,-0.5697,"Bimeromorphic smoothing of a complex-analytic space",1977,"",2],[2,0.6234,0.0912,"Binary Codes Capable of Correcting Deletions, Insertions, and Reversals",1965,"",2],[2,0.4488,-0.6476,"Bivariables and Vénéreau polynomials",2022,"",1],[2,-0.1219,0.8509,"Blocs et séries de Lusztig dans un groupe réductif fini",1989,"",1],[2,0.6032,0.399,"Borel Regular and Radon Measures",0,"",1],[2,-0.705,0.4542,"Boundary theory and stochastic processes on homogeneous spaces",1973,"",1],[2,0.3862,-0.6441,"Bounded complements: conjecture, examples and applications",2004,"",1],[2,-0.7538,-0.0366,"Brouwer's fixed point and invariance of domain theorems, and Hilbert's fifth problem",2011,"",1],[2,-0.5307,-0.4816,"Bull. Soc. Math. France",1999,"",1],[2,0.2456,0.8361,"Bulletin of the Belgian Mathematical Society – Simon Stevin",1996,"",1],[2,0.7315,0.4183,"Bulletin of the European Association for Theoretical Computer Science",2025,"",1],[2,-0.79,-0.0311,"C^*-Algebras",1977,"",1],[2,0.1192,-0.8129,"C. R. Acad. Sci. Paris",1912,"",1],[2,0.6689,-0.4316,"C. R. Acad. Sci. Paris Sér. A–B",1977,"",1],[2,-0.5315,-0.4773,"C. R. Math",2005,"",1],[2,-0.4068,-0.6598,"Calabi flow in Riemann surfaces revisited: a new point of view",2001,"",1],[2,0.7591,-0.1008,"Cannonballs and honeycombs",2000,"",1],[2,0.3795,-0.6995,"Canonical bundle formula and vanishing theorem",2009,"",1],[2,0.4708,-0.5477,"Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension one",1977,"",1],[2,0.3395,-0.5634,"Canonical models",2010,"",3],[2,-0.2115,0.6126,"Cardy's formula for critical Poisson–Voronoi percolation",2026,"",2],[2,-0.7138,-0.4,"Cat as a closed model category",1980,"",1],[2,0.6327,-0.5938,"Catégories tannakiennes",1990,"",1],[2,-0.7963,0.0932,"Causality and local analyticity: mathematical study",1973,"",1],[2,-0.7105,0.4878,"Centralisers of polynomially growing automorphisms of free groups",2013,"",1],[2,0.4279,-0.6238,"Challenging problems on affine n-space",1996,"",1],[2,0.0245,-0.8142,"Changement de base CM et séries discrètes",2011,"",1],[2,-0.6534,-0.0353,"Character rigidity for lattices in higher-rank groups",2014,"",2],[2,0.4213,-0.5893,"Characteristic Classes",1974,"",1],[2,0.4432,-0.4901,"Characterization of abelian varieties",1981,"",2],[2,-0.1026,0.6384,"Characterizations of congruence lattices of abstract algebras",1963,"",2],[2,-0.1186,0.7834,"Characters of Reductive Groups over a Finite Field",1984,"",1],[2,0.4734,-0.6444,"Chern classes of tautological sheaves on Hilbert schemes of points on surfaces",1999,"",1],[2,0.6991,0.2103,"Chicago Journal of Theoretical Computer Science",1999,"",1],[2,-0.4393,0.465,"Choiceless Polynomial Time Logic: Inability to Express",2000,"",2],[2,0.4069,0.7014,"Choosability in graphs",1980,"",1],[2,0.4798,-0.6803,"Chow motive of Fulton–MacPherson configuration spaces and wonderful compactifications",2009,"",1],[2,-0.7731,-0.3113,"Chromatic fixed point theory and the Balmer spectrum for extraspecial (2)-groups",2024,"",1],[2,-0.7649,-0.0057,"Chromatic Homotopy Theory",2010,"",1],[2,-0.6427,-0.0915,"Circular and semicircular systems and free product factors",1990,"",2],[2,-0.0266,-0.2002,"Class Field Theory",2020,"",11],[2,-0.8421,-0.1701,"Classical deterministic complexity of Edmonds' problem and quantum entanglement",2003,"",1],[2,0.2488,-0.7404,"Classical Groups and Geometry",2015,"",1],[2,0.4542,-0.6404,"Classical Invariant Theory: A Primer",1996,"",1],[2,-0.6398,-0.0569,"Classification des facteurs",1982,"",2],[2,-0.6318,-0.1844,"Classification of Formal Groups (Lecture 14)",2010,"",3],[2,-0.5606,0.6454,"Classification Theory for Abstract Elementary Classes",2009,"",1],[2,0.4343,-0.4938,"CMI Summer School Notes on p-adic Hodge Theory",2009,"",2],[2,-0.4889,0.0281,"Cohomology of Groups",1982,"",2],[2,0.6135,-0.5864,"Cohomology of stacks",2004,"",1],[2,-0.6942,-0.2518,"Cohomology Operations",1962,"",1],[2,-0.3506,0.5534,"Coincidence of critical points in percolation problems",1986,"",2],[2,0.5058,-0.7137,"Collected Papers",1977,"",1],[2,0.2843,-0.7002,"Collected Papers of John Milnor",2010,"",1],[2,-0.5647,-0.6515,"Colloquium lectures on geometric measure theory",1978,"",1],[2,0.366,0.6287,"Coloring the vertices of a graph in prescribed colors",1976,"",1],[2,0.3804,0.6997,"Colouring the Plane with No Monochrome Units",2005,"",1],[2,0.4749,-0.6576,"Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves",1996,"",1],[2,-0.5774,0.1921,"Combinatorial Group Theory",1977,"",2],[2,0.7023,0.1099,"Combinatorial Optimization: Polyhedra and Efficiency",2003,"",1],[2,0.7393,0.0796,"Combinatorics, Probability and Computing",1992,"",1],[2,0.2023,0.7079,"Communications de la Société mathématique de Kharkow",1912,"",1],[2,0.7117,0.2548,"Commutative/Noncommutative Rank of Linear Matrices and Subspaces of Matrices of Low Rank",2004,"",1],[2,0.4116,-0.4953,"Compact complex manifolds with numerically effective tangent bundles",1994,"",2],[2,0.4416,-0.4862,"Compact Kähler manifolds with hermitian semipositive anticanonical bundle",1996,"",7],[2,0.4233,-0.7101,"(Compact) Lie Groups and Representation Theory Lecture Notes",2015,"",1],[2,0.2421,-0.5964,"Compactification of stacks and extending stackiness across the boundary",2014,"",3],[2,-0.4873,-0.4318,"Complex Analysis",1979,"",2],[2,-0.0897,-0.1333,"Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable",1979,"",3],[2,0.2947,-0.3372,"Complex Analytic and Differential Geometry",2012,"",21],[2,-0.6223,-0.2171,"Complex Cobordism and Stable Homotopy Groups of Spheres",2004,"",5],[2,0.415,-0.7451,"Complex Geometry: Collection of Papers Dedicated to Hans Grauert",2002,"",1],[2,0.0539,-0.8027,"Complex Multiplication of Abelian Varieties and Its Applications to Number Theory",1961,"",1],[2,-0.7031,-0.4164,"Complexes of cohomological dimension two",1978,"",1],[2,0.3696,-0.4248,"Compositio Mathematica",1997,"",4],[2,-0.7476,0.1793,"Computational Applications of Noise Sensitivity",2003,"",1],[2,-0.7448,0.173,"Computational Complexity",2009,"",1],[2,-0.7005,0.1769,"Computations in Algebraic Geometry with Macaulay 2",2001,"",1],[2,0.7158,0.3353,"Computers and Intractability: A Guide to the Theory of NP-Completeness",1979,"",1],[2,-0.6309,0.1728,"Computing Poisson Probabilities",1988,"",2],[2,0.7616,-0.1647,"Concentration and deviation inequalities in infinite dimensions via covariance representations",2002,"",1],[2,0.1905,-0.794,"Concentration-of-measure inequalities",2009,"",1],[2,-0.2978,0.7254,"Conceptual proofs of L L criteria for mean behavior of branching processes",1995,"",1],[2,-0.3294,-0.7222,"Concordance spaces, higher simple-homotopy theory, and applications",1978,"",1],[2,-0.7613,-0.0411,"Conditional expectations onto maximal abelian star-subalgebras",2012,"",1],[2,-0.7585,-0.041,"Conditional expectations onto maximal abelian *-subalgebras",2012,"",1],[2,-0.2512,0.613,"Conductivity of a two-dimensional two-phase system",1971,"",2],[2,0.3364,-0.5735,"Cone and contraction theorem for projective morphisms between complex analytic spaces",2023,"",3],[2,-0.3109,0.7751,"Conformal invariants",1952,"",1],[2,0.6045,-0.2604,"Conformal Invariants: Topics in Geometric Function Theory",1973,"",2],[2,-0.2579,0.5936,"Conformal Maps and Geometry",2015,"",3],[2,0.3052,-0.7707,"Congruence subgroup problem for algebraic groups: old and new",1992,"",1],[2,0.2749,-0.7269,"Conjectures of Arthur and Ramanujan for unramified automorphic forms: announcement",2026,"",1],[2,-0.7129,-0.3516,"Connectedness properties of limit sets",1999,"",1],[2,-0.5644,-0.5019,"Constr. Approx",2018,"",1],[2,0.2976,-0.7586,"Constructible sheaves are holonomic",2016,"",1],[2,0.5073,-0.6937,"Construction of Hilbert and Quot schemes",2005,"",1],[2,0.4921,-0.6669,"Constructions of nontautological classes on moduli spaces of curves",2003,"",1],[2,-0.7346,0.2178,"Constructions of S-Hadamard Matrices",2026,"",1],[2,0.5615,-0.5365,"Contact and 1-quasiconformal maps on Carnot groups",2011,"",1],[2,0.7481,0.2763,"Continuous Analogues of the Most Informative Function Problem",2016,"",1],[2,0.2554,0.6973,"Contributions to Seymour's second neighborhood conjecture",2009,"",1],[2,0.784,-0.2954,"Convergence of Fourier series",1996,"",1],[2,-0.1674,-0.7559,"Convergence of fugacity expansions for classical systems",1967,"",1],[2,-0.1471,-0.8559,"Convergence problems for functionals and operators",1979,"",1],[2,0.5871,-0.2734,"Convergence properties for the time-dependent Schrödinger equation",1989,"",2],[2,-0.2832,0.7471,"Convergence under subdivision and complexity of polynomial minimization in the simplicial Bernstein basis",2012,"",1],[2,0.0474,-0.1448,"Convex Analysis",1972,"",2],[2,-0.051,0.7178,"Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity",2009,"",1],[2,0.5436,0.5553,"Convex Optimization Theory",2009,"",1],[2,-0.4134,-0.6701,"Convexity of the extended K-energy and the large time behavior of the weak Calabi flow",2017,"",1],[2,0.7086,0.1147,"Convexity theorems generalizing those of M. Riesz and Hadamard with some applications",1948,"",1],[2,-0.2752,0.6493,"Correlation function and susceptibility of a two-dimensional Ising model with impurities",1984,"",1],[2,-0.2457,0.611,"Correlation function and susceptibility of the two-dimensional Ising model with impurities",1984,"",2],[2,0.0027,-0.7854,"Correspondance de Shimura",1980,"",1],[2,0.016,-0.6378,"Correspondances de Shimura",1984,"",2],[2,0.7395,0.435,"Counting Subwords and Other Results Related to the Generalised Star-Height Problem for Regular Languages",2017,"",1],[2,0.6084,-0.5565,"Covering spaces of an elliptic surface",1985,"",1],[2,-0.1644,-0.767,"Cracktip is a global Mumford–Shah minimizer",2001,"",1],[2,0.2661,0.611,"Crossing numbers of complete bipartite graphs and complete graphs",2018,"",2],[2,0.0195,-0.804,"Crystalline cohomology and p-adic Galois representations",1989,"",1],[2,-0.4418,-0.718,"Curvature flows on surfaces",2002,"",1],[2,0.6614,-0.2959,"Curvatures of the Melnikov type, Hausdorff dimension, rectifiability, and singular integrals on R^n",2000,"",1],[2,0.4787,-0.6501,"Cycle groups for Artin stacks",1999,"",1],[2,0.6289,-0.5698,"Cycles évanescents, sections planes et conditions de Whitney",1973,"",1],[2,0.6009,0.5193,"Cycles of dynamical systems on the plane and Rolle's theorem",1984,"",1],[2,0.8137,-0.1771,"Décomposition orthogonale d'un espace hilbertien selon deux cônes mutuellement polaires",1962,"",1],[2,-0.6503,-0.3815,"Deficiency and abelianized deficiency of some virtually free groups",2007,"",1],[2,-0.5438,0.608,"Definability in Degree Structures",2005,"",1],[2,-0.6091,-0.1919,"Déformations de groupes de Barsotti–Tate",1985,"",2],[2,-0.8054,0.3137,"Degenerate and non-degenerate ground states for Schrödinger operators",1975,"",1],[2,0.4331,-0.4929,"Degenerating variations of Hodge structure",1989,"",4],[2,-0.6375,-0.3239,"Dehn surgery on knots",1991,"",1],[2,0.0183,-0.8416,"Démonstration d'une hypothèse de M. Artin",1935,"",1],[2,0.3627,-0.6614,"Der Satz von Grauert–Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum",1979,"",1],[2,0.2685,-0.7009,"Descent obstruction and fundamental exact sequence",2012,"",1],[2,-0.5792,0.6502,"Descriptive Set Theory",2002,"",1],[2,-0.1927,0.6165,"Destruction of Long-Range Order in One-Dimensional and Two-Dimensional Systems Having a Continuous Symmetry Group. I. Classical Systems",1971,"",5],[2,0.2723,-0.668,"Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre",2010,"",1],[2,0.1663,-0.7515,"Diagonal actions on locally homogeneous spaces",2010,"",1],[2,0.1098,-0.7946,"Die mathematischen Tagebücher von Helmut Hasse 1923–1935",2012,"",1],[2,0.4879,0.5369,"Difference systems of sets and code synchronization",2003,"",1],[2,0.579,0.6449,"Differentiable dynamical systems",1967,"",1],[2,0.8545,-0.0801,"Differential Analysis, MIT 18.156: Lecture Notes",2004,"",1],[2,0.5577,0.4862,"Differentsial'nye Uravneniya",1975,"",1],[2,-0.3677,0.7915,"Digital Library of Mathematical Functions",0,"",1],[2,0.2616,-0.8305,"Digital Library of Mathematical Functions, Section 18.5",0,"",1],[2,-0.3404,0.1346,"Dimension theory",1978,"",2],[2,-0.1807,0.709,"Dimers and amoebae",2006,"",1],[2,-0.0061,-0.0006,"Diofantovost' perechislimykh mnozhestv",1970,"",2],[2,0.3672,0.6066,"Disintegration into Conditional Measures: Rokhlin's Theorem",0,"",1],[2,-0.8672,-0.0865,"Disintegration of operator valued weights",2007,"",1],[2,0.3508,0.7501,"Diskret. Analiz",1976,"",1],[2,0.4402,0.7379,"Dissection Graphs of Planar Point Sets",1973,"",1],[2,0.5198,0.6814,"Distribution of values of bounded generalized polynomials",2007,"",1],[2,0.6135,-0.4886,"Diviseurs amples",1966,"",1],[2,0.3841,-0.716,"Divisorial log terminal singularities",1994,"",1],[2,-0.7751,0.0308,"Dixmier approximation and symmetric amenability for C^*-algebras",2013,"",1],[2,-0.1246,0.812,"Donovan's conjecture, crossed products and algebraic group actions",1995,"",1],[2,0.1977,0.7752,"Double Wieferich pairs and circulant Hadamard matrices",2017,"",1],[2,-0.7466,-0.3106,"Dualité dans la cohomologie des espaces localement compacts",1966,"",1],[2,0.3506,0.629,"Duality and trinity",1975,"",1],[2,-0.7382,-0.2338,"Dualizing sheaves, differentials and residues on algebraic varieties",1984,"",1],[2,0.3203,-0.5702,"Duke Mathematical Journal",2000,"",2],[2,0.7863,0.192,"Dynamic Programming",1957,"",1],[2,-0.801,-0.2801,"E_ Ring Spaces and E_ Ring Spectra",1977,"",1],[2,0.7659,0.3502,"Edit Distance in _1: Matching Bounds up to Constants in the Exponent",2026,"",1],[2,-0.3821,-0.7646,"Eigenfunctions of the Laplacian of Riemannian manifolds",2017,"",1],[2,0.6285,-0.129,"Ein Minimalproblem für konvexe Polygone",1938,"",2],[2,0.3997,0.6091,"Ein weiteres Gegenbeispiel zur Borsukschen Vermutung",1997,"",1],[2,-0.5198,0.5945,"Eine Bemerkung zur Theorie der regressiven Funktionen",1956,"",1],[2,-0.7528,0.2703,"Einstein Manifolds",1987,"",1],[2,0.5943,-0.5776,"Electric-magnetic duality and the geometric Langlands program",2007,"",1],[2,0.7553,0.3963,"Electronic Colloquium on Computational Complexity",2026,"",1],[2,-0.5738,-0.618,"Elementary Differential Topology",1966,"",1],[2,0.0098,0.7449,"Éléments cyclotomiques en K-théorie",1987,"",1],[2,-0.7981,0.2323,"Ellipsoidal Toolbox",2006,"",1],[2,-0.8109,-0.245,"Elliptic Cohomology II: Orientations",2018,"",1],[2,0.0079,-0.8035,"Elliptic Curves",2021,"",1],[2,0.0238,-0.6997,"Elliptic curves and local -factors",1982,"",1],[2,-0.4612,-0.4106,"Elliptic differential operators on noncompact manifolds",1985,"",2],[2,-0.1867,-0.1826,"Elliptic operators, discrete groups and von Neumann algebras",1976,"",3],[2,-0.6972,0.2422,"Elliptic Regularity",0,"",1],[2,-0.8417,0.0283,"Embedding of exact C^*-algebras and continuous fields in the Cuntz algebra O_2",1997,"",1],[2,0.1028,-0.8155,"Emil Artin und Helmut Hasse: Die Korrespondenz 1923–1934",2008,"",1],[2,0.0117,-0.64,"Endlichkeitssätze für abelsche Varietäten über Zahlkörpern",1983,"",2],[2,0.0194,-0.7055,"Endoscopic groups and packets of non-tempered representations",1987,"",1],[2,0.461,-0.5577,"Entre les hypersurfaces et les ensembles pseudoconcaves",1973,"",1],[2,0.5179,0.4193,"Entropy and singularity of infinite convolutions",1963,"",2],[2,0.4953,0.5417,"Entropy, homology and semialgebraic geometry",1987,"",1],[2,-0.205,0.6201,"Enumerative Combinatorics, Volume 2",1999,"",7],[2,0.2533,-0.6623,"Épijournal de Géométrie Algébrique",2020,"",1],[2,-0.5879,-0.6317,"Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire",1976,"",1],[2,0.3388,-0.6145,"Équations du type Monge–Ampère sur les variétés kählériennes compactes",1978,"",1],[2,0.4502,-0.6083,"Equivariant intersection theory",1998,"",1],[2,0.754,-0.2321,"Erdős Problem #1150",0,"",1],[2,0.3045,-0.6741,"Erdős Problem 293",0,"",1],[2,0.329,-0.7143,"Erdős Problem 304",0,"",1],[2,0.1401,-0.6409,"Ergodic Properties of Algebraic Fields",1968,"",2],[2,0.5088,0.5694,"Ergodic universality of some topological dynamical systems",2016,"",1],[2,0.2723,-0.7188,"Errata: Finite descent obstructions and rational points on curves",2017,"",1],[2,-0.6723,-0.301,"Errata to “Higher Index Theory”",2025,"",1],[2,-0.7958,0.1132,"Errata to “Unbounded field operators in categorical extensions of conformal nets”",2026,"",1],[2,0.5531,-0.5264,"Erratum: Compact hyper-Kähler manifolds: basic results",2003,"",1],[2,0.0994,-0.0324,"Erratum for “An inverse theorem for the Gowers U^s+1[N]-norm”",2024,"",2],[2,0.8034,0.2573,"Erratum: Fusible HSTs and the Randomized k-Server Conjecture",0,"",1],[2,0.4367,0.6786,"Erratum to “Régularité et interpolation”",2002,"",1],[2,0.657,-0.4998,"Erratum to Sur une conjecture de Mukai",0,"",1],[2,-0.7059,-0.0205,"Estimate of the number of signals in error correcting codes",1957,"",1],[2,0.0108,0.8472,"Étale cohomology and Brauer group",2023,"",1],[2,-0.7688,-0.224,"Étale Cohomology of Rigid Analytic Varieties and Adic Spaces",1996,"",1],[2,0.2807,-0.7412,"Étale fundamental groups of non-Archimedean analytic spaces",1995,"",1],[2,-0.0268,0.1851,"Étude critique de la notion de collectif",1939,"",3],[2,0.0199,-0.6481,"Euler systems",1990,"",3],[2,0.6371,0.4437,"EUROCAL '85, Vol. 2: Research Contributions",1985,"",1],[2,0.3654,-0.6582,"European Journal of Mathematics",2022,"",1],[2,-0.181,0.7433,"Exact determination of the percolation hull exponent in two dimensions",1987,"",1],[2,-0.698,0.3353,"Exact Expressions for Double Descent and Implicit Regularization via Surrogate Random Design",2020,"",1],[2,-0.7771,0.0054,"Exact operator spaces",1995,"",1],[2,-0.7543,0.1424,"Exact quantum Fourier transforms and discrete logarithm algorithms",2004,"",1],[2,0.3983,-0.6922,"Existence and boundedness of n-complements",2020,"",1],[2,-0.5407,-0.6329,"Existence and Regularity of Minimal Surfaces on Riemannian Manifolds",1981,"",1],[2,0.6658,0.416,"Expander Graphs",2023,"",1],[2,0.691,0.4285,"Explicit Constructions of Concentrators",1973,"",1],[2,0.5704,-0.5624,"Extension of mixed Hodge modules",1990,"",1],[2,0.0373,-0.8069,"Extensions for supersingular representations of GL_2( Q_p)",2010,"",1],[2,0.2349,-0.8249,"Extensions of Billingsley's theorem via multi-intensities",2014,"",1],[2,0.5455,-0.6441,"Extra extension properties of equidimensional holomorphic mappings: results and open questions",2008,"",1],[2,0.3468,0.6801,"Extremal graph problems, degenerate extremal problems, and supersaturated graphs",1984,"",1],[2,-0.4082,-0.6666,"Extremal Kähler metrics",1982,"",1],[2,-0.3932,-0.6265,"Extremal solitons and exponential C^ convergence of the modified Calabi flow on certain CP^1 bundles",2007,"",1],[2,-0.6351,-0.0668,"Factors of type III_1, property L'_ , and closure of inner automorphisms",1985,"",2],[2,0.4262,-0.7495,"Faisceaux amples sur les espaces analytiques",1982,"",1],[2,0.4145,-0.5104,"Faisceaux analytiques sur les variétés de Stein",1951,"",2],[2,0.0109,-0.0384,"Faisceaux pervers",1982,"",7],[2,0.4259,-0.5059,"Families of analytic discs in C^n with boundaries on a prescribed CR submanifold",1978,"",2],[2,0.0225,-0.7906,"Families of ordinary abelian varieties: canonical coordinates, p-adic monodromy, Tate-linear subvarieties and Hecke orbits",2003,"",1],[2,0.5532,-0.4584,"Fano manifolds with nef tangent bundles are weakly almost Kähler–Einstein",2018,"",1],[2,0.6523,0.1217,"Fast Algorithms for Monotonic Discounted Linear Programs with Two Variables per Inequality",2006,"",2],[2,0.6924,0.1414,"Fast Matrix Multiplication: Limitations of the Laser Method",2014,"",1],[2,0.72,0.1633,"Fast Multiple-Precision Evaluation of Elementary Functions",1976,"",1],[2,-0.7638,0.3559,"Fast Randomized Kernel Ridge Regression with Statistical Guarantees",2015,"",1],[2,-0.1558,0.1893,"Fields and Galois Theory",2022,"",4],[2,-0.0249,0.6639,"Fields and Rings",1972,"",2],[2,-0.3903,0.5268,"Fifteen problems in mathematical physics",1984,"",2],[2,-0.4709,-0.5202,"Filling Riemannian manifolds",1983,"",1],[2,0.779,-0.2988,"Fine structure of harmonic measure",1999,"",1],[2,0.5979,0.4119,"Finite Fields",1997,"",1],[2,-0.6363,0.4414,"Finite K( ,1)'s for Artin groups",1995,"",1],[2,0.7294,0.0763,"Finite metric-spaces—combinatorics, geometry and algorithms",2002,"",1],[2,0.0184,0.7405,"Finitistic dimension of Artinian rings with vanishing radical cube",1991,"",1],[2,0.6278,-0.5011,"Flips and abundance for algebraic threefolds: A summer seminar at the University of Utah, Salt Lake City, 1991",1992,"",1],[2,-0.7391,0.2149,"Floating-Point Computation",1974,"",1],[2,-0.7649,-0.2447,"Formal Groups and Applications",1978,"",1],[2,-0.7836,-0.2923,"Formal groups and zeta-functions",1968,"",1],[2,0.4969,-0.6013,"Formal line bundles along exceptional loci",1969,"",1],[2,0.0118,-0.6617,"Formes modulaires et représentations -adiques",1971,"",5],[2,-0.791,0.2963,"Formulas for traces for a singular Sturm–Liouville differential operator",1960,"",1],[2,0.1038,-0.7183,"Forum Math",2002,"",1],[2,0.2991,-0.7766,"Forum of Mathematics, Sigma",2020,"",1],[2,0.6489,0.454,"Found. Comput. Math",2018,"",1],[2,0.6641,-0.5278,"Foundation of the minimal model program",2014,"",1],[2,0.0527,0.7944,"Foundations for almost ring theory—Release 7.5",2018,"",1],[2,-0.6986,-0.2981,"Foundations of Algebraic Topology",1952,"",1],[2,-0.8395,-0.0174,"Four Cheeger-type inequalities for graph partitioning algorithms",2007,"",1],[2,0.1683,-0.7848,"Fourier analysis in number fields and Hecke's zeta-functions",1967,"",1],[2,-0.2753,0.6012,"Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot",2004,"",3],[2,0.8184,0.2904,"Free Ideal Rings and Localization in General Rings",2006,"",1],[2,0.7963,0.0584,"From Grassmannian to Simplicial High-Dimensional Expanders",2023,"",1],[2,0.3646,-0.5519,"From symplectic packing to algebraic geometry and back",2001,"",2],[2,-0.5112,-0.567,"Frontiere orientate di curvatura media assegnata in L^p",1975,"",1],[2,-0.5876,0.4391,"Funct. Anal. Appl",1980,"",1],[2,-0.4101,0.3788,"Functional Analysis",2016,"",4],[2,0.6464,0.4335,"Functional Analysis: Lecture Notes of Winter Semester 2017/18",2025,"",1],[2,0.3694,-0.673,"Fundamental group and positivity of cotangent bundles of compact Kähler manifolds",1995,"",1],[2,0.5474,0.3605,"Fundamental Limits of Online and Distributed Algorithms for Statistical Learning and Estimation",2014,"",2],[2,-0.842,-0.0506,"Fundamentals of the Theory of Operator Algebras",1986,"",1],[2,0.2599,-0.6934,"Galois coverings of the arithmetic line",1987,"",1],[2,-0.3515,0.6317,"Gardner formula for Ising perceptron models at small densities",2022,"",1],[2,-0.6184,0.2026,"Gaussian Beams and the Propagation of Singularities",1982,"",3],[2,0.8364,-0.1766,"Gaussian measures, Hermite polynomials, and the Ornstein–Uhlenbeck semigroup",2015,"",1],[2,0.4681,0.4607,"Gaussian random processes and measures of solid angles in Hilbert space",1971,"",2],[2,-0.1281,-0.8182,"Generalisations of Pick's Theorem to Reproducing Kernel Hilbert Spaces",1994,"",1],[2,0.4635,-0.5534,"Généralités sur les fonctions automorphes ; cas d'un domaine borné",1953,"",1],[2,0.5392,0.356,"Generalizations of Riesz Potentials and L^p Estimates for Certain (k)-Plane Transforms",1984,"",3],[2,-0.6975,-0.2819,"Generalized group characters and complex oriented cohomology theories",2000,"",1],[2,-0.1173,0.7584,"Generic blocks of finite reductive groups",1993,"",1],[2,-0.4381,-0.7493,"Geodesic flows on closed Riemannian manifolds of negative curvature",1967,"",1],[2,-0.4681,-0.6101,"Geometric, Algebraic and Analytic Descendants of Nash Isometric Embedding Theorems",2015,"",1],[2,0.2054,0.7676,"Geometric and Functional Analysis",1997,"",1],[2,0.0232,-0.7434,"Geometric and p-adic modular forms of half-integral weight",2006,"",1],[2,0.0313,-0.6446,"Geometric Galois representations",1995,"",2],[2,0.409,-0.5277,"Geometric Invariant Theory",1982,"",2],[2,0.3014,-0.7683,"Geometric Langlands duality and representations of algebraic groups over commutative rings",2007,"",1],[2,-0.2032,-0.0858,"Geometric Measure Theory",1969,"",6],[2,0.6033,-0.4923,"Geometric structures on uniruled projective manifolds defined by their varieties of minimal rational tangents",2008,"",1],[2,0.5158,-0.4226,"Géométrie algébrique et géométrie analytique",1956,"",2],[2,0.3808,-0.6919,"Géométrie analytique locale, IV",1960,"",1],[2,0.0672,-0.7619,"Géométrie rigide et cohomologie des variétés algébriques de caractéristique p",1981,"",1],[2,0.5032,0.5031,"Geometry of geodesics for convex billiards and circular billiards",2002,"",1],[2,-0.2833,0.6019,"Geometry, Spectral Theory, Groups, and Dynamics",2005,"",2],[2,-0.1229,-0.8364,"Global and local behavior of positive solutions of nonlinear elliptic equations",1981,"",1],[2,-0.0256,0.8157,"Graham Higman's thesis “Units in group rings”",1981,"",1],[2,-0.6704,0.5487,"Graph products of groups",1990,"",1],[2,0.2591,0.7301,"Graphok és matrixok",1931,"",1],[2,-0.5242,-0.5757,"Gromov Hyperbolic Manifolds, Weighted Isoperimetry and Bubbles",2020,"",1],[2,0.0353,-0.8525,"Gross–Zagier revisited",2003,"",1],[2,-0.3359,-0.4335,"Group theory and three-dimensional manifolds",1971,"",2],[2,0.2885,-0.7068,"Groupes algébriques sur un corps local. Chapitre III. Compléments et applications à la cohomologie galoisienne",1987,"",1],[2,0.0753,-0.8268,"Groupes de Barsotti-Tate et cristaux",1971,"",1],[2,0.0484,-0.7964,"Groupes de monodromie en géométrie algébrique. I (SGA 7 I)",1972,"",1],[2,0.0488,-0.762,"Groupes de monodromie en géométrie algébrique. II (SGA 7 II)",1973,"",1],[2,0.449,-0.5374,"Growth of finitely generated solvable groups and curvature of Riemannian manifolds",1968,"",1],[2,-0.074,0.7755,"Hall–Littlewood functions and Kostka–Foulkes polynomials in representation theory",1994,"",1],[2,-0.3423,0.6625,"Hard and Easy Distributions of SAT Problems",1992,"",1],[2,0.7376,-0.2639,"Harmonic analysis",2024,"",1],[2,-0.3549,-0.7013,"Harmonic manifolds; the proof of the Lichnerowicz conjecture in the compact case",1988,"",1],[2,-0.3801,-0.7129,"Heat Kernels and Dirac Operators",1992,"",1],[2,0.3299,0.8031,"Hecke algebras and reflections in Coxeter groups",1987,"",1],[2,0.3068,0.7415,"Hecke algebras and shellings of Bruhat intervals",1993,"",1],[2,0.0183,-0.7616,"Heegner points and derivatives of L-series",1986,"",1],[2,0.0264,-0.8384,"Heights and the special values of L-series",1987,"",1],[2,0.4917,-0.5421,"Hermitian differential geometry, Chern classes, and positive vector bundles",1969,"",1],[2,-0.8035,-0.288,"Higher Algebra",2017,"",1],[2,-0.0386,0.7553,"Higher Castelnuovo theory",1993,"",1],[2,0.1703,-0.8188,"Higher correlations of divisor sums related to primes I: Triple correlations",2003,"",1],[2,0.4082,-0.5167,"Higher Dimensional Complex Geometry",1988,"",2],[2,-0.8343,-0.2495,"Higher Topos Theory",2009,"",1],[2,-0.7287,-0.0025,"Hilbert C^*-modules: A toolkit for operator algebraists",1995,"",1],[2,-0.7957,-0.0034,"Hilbert C^*-modules: theorems of Stinespring and Voiculescu",1980,"",1],[2,0.2263,0.3295,"Hilbert Nullstellensatz",2026,"",2],[2,0.5372,-0.5791,"Hilbert's Fifth Problem and Related Topics",2014,"",1],[2,0.0162,-0.8574,"Hilbert's tenth problem is unsolvable",1973,"",1],[2,0.0372,-0.793,"Hilbert's tenth problem over the rational numbers",2026,"",1],[2,0.6229,0.2183,"Hitting Point for Sparse Noncommutative Polynomials",2026,"",2],[2,0.4701,-0.6534,"Hodge classes on self-products of a variety with an automorphism",1988,"",1],[2,0.4471,-0.6209,"Hodge Cycles, Motives, and Shimura Varieties",2003,"",1],[2,0.3616,-0.6522,"Hodge ideals",2019,"",1],[2,-0.7169,0.4286,"Homological Dimension of Discrete Groups",1981,"",1],[2,-0.8221,-0.2981,"Homotopy properties of Thom complexes",1962,"",1],[2,-0.6847,-0.2309,"Homotopy theory of comodules over a Hopf algebroid",2003,"",1],[2,0.1218,-0.7058,"How small must ill-distributed sets be?",2009,"",1],[2,0.3679,-0.5297,"How to use the cycle space in complex geometry",1999,"",2],[2,0.6531,-0.4531,"Hyperbolic Manifolds and Holomorphic Mappings",1970,"",1],[2,0.0557,-0.8621,"Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields",1984,"",1],[2,-0.343,-0.6599,"Hypoelliptic (and non-hypoelliptic) Hodge theory",2010,"",1],[2,-0.4195,-0.6827,"Hypoelliptic differential operators",1961,"",1],[2,0.6322,0.4367,"IEEE Trans. Inform. Theory",1978,"",1],[2,0.6544,0.4332,"Improved Analysis for a Proximal Algorithm for Sampling",2022,"",1],[2,0.7877,0.0476,"Improved Inapproximability of Max-Cut through Min-Cut",2018,"",1],[2,-0.579,0.5841,"Inconsistency of classical logic in type theory",2007,"",1],[2,0.7041,0.1701,"Index Coding with Side Information",2006,"",1],[2,-0.3793,0.6722,"Inequalities",1952,"",1],[2,0.3426,0.6648,"Inequalities for functionals generated by bipartite graphs",1991,"",1],[2,-0.6094,0.2305,"Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities",1976,"",3],[2,0.0383,0.718,"Inequalities related to certain couples of local rings",1964,"",1],[2,-0.6439,-0.3476,"Infini groupoïdes d'après Grothendieck",2007,"",1],[2,0.2749,0.5921,"Infinite and Finite Sets",1975,"",2],[2,0.5966,0.4089,"Inform. Process. Lett",1990,"",1],[2,0.7594,0.4286,"Information and Control",1966,"",1],[2,0.0211,-0.7066,"Injectivity properties of liftings associated to Weil representations",1984,"",1],[2,-0.4321,-0.6647,"Injectivity Radius Estimates and Sphere Theorems",1997,"",1],[2,0.7287,0.1572,"Integer multiplication below n n",2026,"",1],[2,0.3513,-0.7767,"Integers without large prime factors",1993,"",1],[2,0.7816,-0.1464,"Integral Geometry and Tomography",1990,"",1],[2,0.613,-0.2097,"Integration and differentiation of functions of Hermitian operators depending on a parameter",1957,"",3],[2,-0.4509,-0.6628,"Interior W^2,p estimates for non divergence elliptic equations with discontinuous coefficients",1991,"",1],[2,-0.5665,0.5788,"Internal Proofs of Strong Normalization",2025,"",1],[2,-0.4418,0.6638,"Interrelationships between orthogonal, unitary and symplectic matrix ensembles",2001,"",1],[2,0.533,-0.4649,"Intersection form for quasi-homogeneous singularities",1977,"",1],[2,-0.4048,-0.7139,"Intersection theory on spherical varieties",1995,"",1],[2,-0.6401,0.5346,"Interview with Mikhail Gromov",2010,"",1],[2,0.5997,0.5113,"Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac",1992,"",1],[2,-0.6178,0.4665,"Introduction to Algebraic K-Theory",1971,"",1],[2,0.22,-0.598,"Introduction to Berkovich analytic spaces",2010,"",2],[2,-0.4153,-0.7084,"Introduction to Descriptive Set Theory",2025,"",1],[2,-0.2236,-0.1004,"Introduction to Geometric Measure Theory",2014,"",20],[2,-0.4382,0.7356,"Introduction to High-Dimensional Statistics",2021,"",1],[2,-0.4232,-0.7224,"Introduction to Lie Groups and Lie Algebras",0,"",1],[2,-0.3722,-0.689,"Introduction to Microlocal Analysis",2007,"",1],[2,0.4242,-0.51,"Introduction to mixed Hodge modules",1989,"",2],[2,0.5769,-0.5073,"Introduction to Quadratic Forms",1963,"",1],[2,-0.193,0.3842,"Introduction to Representation Theory",2011,"",12],[2,0.2572,-0.5791,"Introduction to Shimura varieties",2017,"",5],[2,-0.3263,-0.6781,"Introduction to Symplectic Topology",2017,"",1],[2,0.0203,-0.729,"Introduction to the theory of admissible representations of p-adic reductive groups",1995,"",1],[2,0.0935,-0.7521,"Introduction to the theory of moduli",1972,"",1],[2,-0.6163,0.4101,"Introductory notes on Richard Thompson's groups",1996,"",1],[2,-0.3696,-0.5533,"Invariance Theory, the Heat Equation, and the Atiyah–Singer Index Theorem",1996,"",2],[2,-0.5613,0.4193,"Invent. Math",1980,"",1],[2,0.3057,-0.5709,"Inventiones Mathematicae",2005,"",3],[2,0.2531,-0.8337,"Irrationalité de 2 et 3",1979,"",1],[2,-0.8151,0.095,"Irreversibility of the flux of the renormalization group in a 2D field theory",1986,"",1],[2,-0.8054,-0.0205,"Irving Kaplansky's Role in Mid-Twentieth Century Functional Analysis",2008,"",1],[2,-0.5465,-0.6307,"Isoparametric foliation and Yau conjecture on the first eigenvalue",2013,"",1],[2,-0.4166,-0.5694,"Isoperimetrische Ungleichungen für Bereiche auf Flächen",1941,"",1],[2,-0.3363,0.7773,"Israel J. Math",2000,"",1],[2,0.0937,0.0053,"Israel Journal of Mathematics",2009,"",2],[2,-0.7113,-0.3825,"Iterated algebraic injectivity and the faithfulness conjecture",2020,"",1],[2,0.0091,-0.8419,"Iwasawa Theory",0,"",1],[2,-0.0869,-0.1263,"Izv. Akad. Nauk SSSR Ser. Mat",1956,"",5],[2,0.0034,0.2864,"J. Algebra",2012,"",2],[2,0.705,0.4954,"J. Algorithms",1988,"",1],[2,0.1277,-0.8467,"J. Comput. System Sci",1976,"",1],[2,0.7844,-0.1461,"J. Differential Geom",1999,"",1],[2,-0.3708,-0.6988,"J-holomorphic curves and symplectic topology",2012,"",1],[2,0.0083,0.2835,"J. Pure Appl. Algebra",1982,"",2],[2,0.008,0.2734,"J. Reine Angew. Math",1997,"",2],[2,-0.5556,-0.5004,"J. Res. Nat. Bur. Stand",1952,"",1],[2,-0.4273,0.7603,"J. Stat. Phys",2000,"",1],[2,0.5838,0.4114,"J. Symbolic Comput",1994,"",1],[2,0.0226,0.0047,"Jacobian Varieties",2021,"",2],[2,-0.6069,-0.5417,"Jaen J. Approx",2014,"",1],[2,-0.3855,0.7143,"Journal de Physique I",1991,"",1],[2,-0.3598,0.4773,"Journal of Algebra",2004,"",2],[2,0.3433,-0.5467,"Journal of Algebraic Geometry",2001,"",2],[2,-0.5017,0.5619,"Journal of Mathematical Logic",2007,"",1],[2,0.7196,-0.1007,"Journal of the ACM",2006,"",1],[2,0.2702,-0.5933,"Journal of the American Mathematical Society",2018,"",2],[2,0.7016,0.2689,"Journal of the American Statistical Association",1963,"",1],[2,-0.2754,0.6032,"Journal of the Indian Mathematical Society",1955,"",2],[2,-0.792,-0.0285,"K-Groups of Reduced Crossed Products by Free Groups",1982,"",1],[2,0.6924,0.3358,"k-Means++: The Advantages of Careful Seeding",2007,"",1],[2,-0.7957,-0.3444,"K-Theory",1967,"",1],[2,-0.4065,-0.7259,"Kähler cuts",2002,"",1],[2,0.6491,-0.4482,"Kähler hyperbolicity and L^2-Hodge theory",1991,"",1],[2,0.4471,-0.7069,"Kawamata–Viehweg vanishing theorem",2009,"",1],[2,0.3296,0.7945,"Kazhdan–Lusztig combinatorics via sheaves on Bruhat graphs",2007,"",1],[2,0.544,-0.616,"Kollár–Nadel Type Vanishing Theorem",2018,"",1],[2,-0.405,0.643,"Kozma–Nitzan Connection Inequalities for Bernoulli Percolation",2026,"",1],[2,-0.4022,0.6324,"Kozma–Nitzan inequalities: proofs and counterexamples",2026,"",1],[2,0.5019,-0.7049,"Kuga–Satake varieties and the Hodge conjecture",1999,"",1],[2,-0.4584,-0.6655,"Kürzeste Wege und Totalkrümmung auf Flächen",1935,"",1],[2,0.399,-0.7121,"Kyoto Journal of Mathematics",2010,"",1],[2,0.7132,-0.1256,"L_1 Embeddings of Graphs of Bounded Treewidth",2026,"",1],[2,-0.7025,-0.3991,"La classe des morphismes de Dwyer n'est pas stable par rétractes",1999,"",1],[2,0.6431,-0.5813,"La constance du nombre de Milnor donne des bonnes stratifications",1973,"",1],[2,0.4684,-0.5611,"La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique",1967,"",1],[2,0.2159,-0.7048,"La Géométrie",1637,"",1],[2,0.5297,-0.6303,"La théorie des groupes finis et continus et l'analysis situs",1952,"",1],[2,0.6269,-0.554,"La trivialité topologique n'implique pas les conditions de Whitney",1975,"",1],[2,0.6707,-0.5421,"La variété des droites d'une hypersurface cubique de dimension 4",1985,"",1],[2,-0.3209,-0.7084,"Lagrangian embeddings and critical point theory",1985,"",1],[2,0.2352,-0.7278,"Le groupe fondamental de la droite projective moins trois points",1989,"",1],[2,0.3271,-0.8061,"Le problème de Kneser–Tits",2009,"",1],[2,-0.0127,0.7848,"Le problème de Kurosch",1954,"",1],[2,0.6034,-0.6109,"Le théorème des images directes de Grauert [d'après Kiehl–Verdier]",1974,"",1],[2,0.7181,0.4746,"Learners that Use Little Information",2018,"",1],[2,-0.7794,0.3255,"Lecture 7: Calderón–Zygmund estimate",2019,"",1],[2,-0.3451,-0.7219,"Lecture IV: K_0, K_1, Whitehead torsion, and the s-cobordism theorem",2020,"",1],[2,-0.002,-0.0059,"Lecture notes 1 for 247A",2006,"",2],[2,0.8048,-0.2858,"Lecture notes 2 for 247A",2006,"",1],[2,0.7065,-0.2499,"Lecture notes 4 for 247A",2006,"",1],[2,0.7799,-0.2732,"Lecture notes 6 for 247B",2007,"",1],[2,0.056,-0.333,"Lecture notes for 18.155: distributions, elliptic regularity, and applications to PDEs",2026,"",3],[2,-0.5968,0.612,"Lecture Notes: Forcing & Symmetric Extensions",2026,"",1],[2,-0.3708,-0.7407,"Lecture Notes on Seiberg–Witten Invariants",2010,"",1],[2,0.6614,0.4484,"Lecture Notes on Statistics and Information Theory",2023,"",1],[2,-0.426,-0.7371,"Lecture Notes on Symmetric Spaces",0,"",1],[2,0.7362,-0.4094,"Lecture notes on the Fourier transform and Hausdorff dimension",0,"",1],[2,-0.2217,0.7463,"Lecture Notes on the Spectral Theorem",2018,"",1],[2,-0.7243,-0.2184,"Lecture notes on Witt vectors",2005,"",1],[2,-0.7219,-0.2194,"Lectures on Analytic Geometry",2019,"",1],[2,-0.2928,0.4857,"Lectures on Chevalley Groups",1967,"",2],[2,-0.8388,0.0941,"Lectures on Conformal Nets. Part I: One Particle Structure",2008,"",1],[2,0.6012,-0.6183,"Lectures on Deformation Theory",1998,"",1],[2,0.0362,-0.205,"Lectures on Étale Cohomology",2013,"",4],[2,-0.7918,0.3356,"Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of (N)-Body Schrödinger Operators",1982,"",1],[2,-0.4577,-0.2284,"Lectures on Geometric Measure Theory",1983,"",3],[2,0.6067,-0.1574,"Lectures on Lipschitz Analysis",2005,"",2],[2,0.012,0.8118,"Lectures on modular representation theory of reductive algebraic groups",0,"",1],[2,0.6271,-0.605,"Lectures on N_X(p)",2014,"",1],[2,-0.2779,0.6635,"Lectures on Numerical Conformal Mapping",2008,"",1],[2,-0.4559,-0.0976,"Lectures on PDE",2015,"",2],[2,0.3491,-0.6477,"Lectures on Resolution of Singularities",2007,"",1],[2,0.0577,-0.7223,"Lectures on Shimura varieties",2009,"",1],[2,-0.8361,-0.0241,"Lectures on the Cohomology of Groups",2010,"",1],[2,0.3502,-0.5396,"Lectures on the Fourteenth Problem of Hilbert",1965,"",3],[2,-0.3961,0.4097,"Lectures on the Poisson Process",2017,"",2],[2,-0.198,0.6355,"Lectures on the renormalisation group",2009,"",2],[2,0.076,-0.8375,"Lefschetz classes on abelian varieties",1999,"",1],[2,0.5925,-0.4969,"Legendrian varieties",2007,"",1],[2,-0.6441,0.4348,"Length functions, curvature and the dimension of discrete groups",2001,"",1],[2,0.548,-0.5808,"Les connexions infinitésimales dans un espace fibré différentiable",1952,"",1],[2,-0.8653,0.1039,"Les hyperfonctions de M. Sato",1961,"",1],[2,-0.6068,0.3926,"Les moyennes invariantes dans les semi-groupes et leurs applications",1950,"",1],[2,-0.4386,-0.5669,"Les travaux de Nash et Kuiper sur le plongement isométrique des C^1-variétés riemanniennes dans l'espace euclidien",1958,"",1],[2,-0.6425,-0.3031,"Letter to Jean-Pierre Serre",2016,"",1],[2,0.6034,-0.6233,"Letters of a Bi-rationalist V: Mld's and Termination of Log Flips",2004,"",1],[2,0.4191,-0.7508,"Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten",1960,"",1],[2,-0.3181,0.7827,"Lévy processes",1996,"",1],[2,-0.0369,0.7577,"Lex-plus-powers ideals",2007,"",1],[2,-0.715,-0.1335,"Lidskiĭ's theorem in the type II case",1986,"",1],[2,-0.4197,-0.7228,"Lie Algebras, Algebraic Groups, and Lie Groups",2013,"",1],[2,0.5229,-0.4941,"Lie Algebras and Representation Theory",2016,"",1],[2,0.2918,-0.755,"Lie Group Representations II",1984,"",1],[2,-0.8296,-0.0398,"Lie Groups Beyond an Introduction",2023,"",1],[2,0.3134,-0.7978,"Linear Algebraic Groups",1998,"",1],[2,-0.0224,0.656,"Linear cellular automata: Garden of Eden Theorem, L-surjunctivity and group rings",2006,"",2],[2,-0.607,0.2142,"Linear elliptic operators with measurable coefficients",1973,"",2],[2,0.3252,0.5656,"Linear Programming and the Theory of Games",1951,"",2],[2,-0.1077,-0.7396,"Liouville-type theorems for stable solutions of the Hénon–Lane–Emden system",2026,"",1],[2,0.4865,-0.5782,"Lipschitz stratification of subanalytic sets",1994,"",1],[2,-0.5774,-0.3056,"List of problems",1979,"",2],[2,0.0259,-0.6744,"Local-global compatibility in the p-adic Langlands programme for GL_2/ Q",2011,"",2],[2,0.4239,-0.7051,"Logarithmic structures of Fontaine–Illusie",1989,"",1],[2,-0.5587,0.6075,"Logic and the Challenge of Computer Science",1988,"",1],[2,-0.5707,0.577,"Logics and Type Systems",1993,"",1],[2,0.6721,-0.5602,"Lokal-triviale Familien kompakter komplexer Mannigfaltigkeiten",1965,"",1],[2,-0.7401,0.3622,"Long Range Order for the Quantum Heisenberg Model",1999,"",1],[2,-0.4543,-0.73,"Long time existence of minimizing movement solutions of Calabi flow",2014,"",1],[2,0.625,0.1241,"Looking For All Solutions of a Set of Max-Atoms Solves the Max Atom Problem in Strongly Polynomial Time",2025,"",2],[2,0.7256,0.4361,"Lower Bounds for Depth-5 Algebraic Circuits with Bounded Fan-in of Top Product Gates",2026,"",1],[2,0.8479,-0.1319,"Lower Bounds for Embedding Edit Distance into Normed Spaces",2003,"",1],[2,0.7167,0.2159,"Lower Bounds for Heuristic Algorithms",2014,"",1],[2,0.6381,0.3855,"Lower Bounds on Arithmetic Circuits via Partial Derivatives",1995,"",1],[2,-0.6997,-0.0434,"L^p-spaces associated with an arbitrary von Neumann algebra",1979,"",1],[2,-0.0745,-0.8679,"Machines de Turing réversibles. Récursive insolubilité en n N de l'équation u= ^n u, où est un “isomorphisme de codes”",1963,"",1],[2,-0.6436,-0.038,"Maharam extension for nonsingular group actions",2006,"",2],[2,-0.3264,0.704,"Markov Processes and Related Fields",1998,"",1],[2,-0.5302,-0.3894,"Martingales in Banach Spaces (in connection with Type and Cotype)",2011,"",2],[2,-0.7225,0.2513,"Mass and 3-metrics of non-negative scalar curvature",2002,"",1],[2,-0.2786,0.8094,"MAT 449: Representation theory",2018,"",1],[2,0.1394,-0.7694,"Math 571, Chapter 5: The large sieve",2025,"",1],[2,0.114,-0.781,"Math. Ann",2019,"",1],[2,0.6333,0.4417,"Math. Comp",1970,"",1],[2,-0.636,0.4724,"Math. USSR-Izv",1968,"",1],[2,-0.5679,0.4229,"Math. USSR-Sb",1992,"",1],[2,-0.1719,-0.495,"Math. Z",1920,"",2],[2,-0.487,0.5032,"Math655 Lecture Notes: Part 2.1, An Introduction to Forcing",2019,"",1],[2,0.6761,-0.3328,"Mathematical issues in dynamic programming",0,"",1],[2,-0.495,0.0959,"Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators",2009,"",5],[2,-0.3569,0.5361,"Mathematical Research Letters",1997,"",2],[2,0.3702,-0.6689,"Mathematische Annalen",1982,"",1],[2,0.0143,-0.8433,"Mathematische Probleme. Vortrag, gehalten auf dem internationalen Mathematiker-Kongreß zu Paris 1900",1900,"",1],[2,0.304,-0.7978,"Mathematische Zeitschrift",2018,"",1],[2,-0.773,0.0283,"Matricial structure and homotopy type of simple C^*-algebras with real rank zero",1991,"",1],[2,0.7273,0.2526,"Matrix identities are hard: Fast blackbox PIT for noncommutative exponential-size constant-depth homogeneous circuits",2026,"",1],[2,0.2311,0.6675,"Matroid Partition",1968,"",1],[2,0.8136,0.274,"Matroids, Secretary Problems, and Online Mechanisms",2007,"",1],[2,-0.0921,0.6979,"Maximally complete fields",1993,"",1],[2,0.1939,-0.6992,"Mean values of the modulus of a trigonometric sum",1975,"",1],[2,0.5258,0.5808,"Measure preserving diffeomorphisms of the torus are unclassifiable",2022,"",1],[2,0.5105,0.5731,"Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations",1977,"",1],[2,0.598,0.398,"Measure Theory",2011,"",1],[2,0.713,-0.2966,"Measure Theory and Fine Properties of Functions",2015,"",1],[2,0.6935,0.4638,"Measure Theory, Chapter 21: Taxonomy of Measure Spaces",0,"",1],[2,0.5343,0.3679,"Measure Theory, Chapter 24: Function Spaces",0,"",2],[2,0.6309,0.4176,"Measure Theory, Chapter 41: Topologies and Measures I",0,"",1],[2,0.5349,0.3583,"Memory, Communication, and Statistical Queries",2016,"",4],[2,-0.3358,-0.7197,"Méthodes topologiques dans les problèmes variationnels. I. Espaces à un nombre fini de dimensions",1934,"",1],[2,-0.8009,-0.0217,"Methods of Modern Mathematical Physics. I: Functional Analysis",1980,"",1],[2,-0.5825,-0.4175,"Metric entropy duality and the sample complexity of outcome indistinguishability",2022,"",1],[2,-0.7122,-0.1137,"Metric entropy of homogeneous spaces",1998,"",1],[2,-0.7352,-0.028,"Métriques de Carnot–Carathéodory et quasiisométries des espaces symétriques de rang un",1989,"",1],[2,0.3627,-0.0979,"Michigan Mathematical Journal",2012,"",2],[2,-0.6325,-0.4831,"Midpoint lenses in segment spaces",2026,"",1],[2,0.347,-0.6324,"Minimal model theory for log surfaces",2012,"",1],[2,0.077,-0.793,"Minimal models for elliptic curves",2003,"",1],[2,0.4065,-0.6588,"Minimal models of canonical 3-folds",1983,"",1],[2,0.5452,0.3696,"Minimax Rates for Memory-Bounded Sparse Linear Regression",2015,"",5],[2,0.0715,-0.7547,"Mod p points on Shimura varieties of abelian type",2017,"",1],[2,-0.1292,0.8274,"Model Theory I: Definability",2020,"",1],[2,0.2741,-0.711,"Modèles de Whittaker des représentations admissibles des groupes réductifs p-adiques quasi-déployés",1973,"",1],[2,0.0443,-0.7826,"Modular representations of GL_2 of a local field: the ordinary, unramified case",1995,"",1],[2,0.0433,-0.7369,"Modularity of 2-Dimensional Galois Representations",2007,"",1],[2,0.0084,0.714,"Modules for elementary abelian groups and hypersurface singularities",2015,"",1],[2,-0.7317,-0.2753,"Moduli of abelian varieties and p-divisible groups",2009,"",1],[2,0.0327,-0.7066,"Moduli of finite flat group schemes, and modularity",2009,"",1],[2,0.1178,-0.7864,"Monatsber. Königl. Preuss. Akad. Wiss. Berlin",1859,"",1],[2,-0.8051,-0.2582,"Morava K- and E-theory",0,"",1],[2,-0.6969,-0.3918,"More on orthogonality in locally presentable categories",2001,"",1],[2,0.4177,-0.7427,"Mori Fibre Spaces for Kähler Threefolds",2015,"",1],[2,-0.1162,0.7632,"Morita equivalent blocks in Clifford theory of finite groups",1990,"",1],[2,-0.0131,-0.486,"Morse Theory",1963,"",8],[2,0.2614,-0.6877,"Moscow Mathematical Journal",2008,"",1],[2,0.243,-0.7625,"Multiple polylogarithms and mixed Tate motives",2001,"",1],[2,0.487,0.6555,"Multiple recurrence theorem for nilpotent group actions",1994,"",1],[2,0.7043,0.1621,"Multiplication of Many-Digital Numbers by Automatic Computers",1962,"",1],[2,0.0892,-0.6383,"Multiplicative Number Theory",2000,"",2],[2,0.1026,-0.6944,"Multiplicative Number Theory I: Classical Theory",2007,"",1],[2,0.142,-0.6301,"Multiplicative Number Theory II: Primes and Sieves",0,"",2],[2,0.1456,-0.8186,"Multiplicative Number Theory III",0,"",1],[2,0.1461,-0.8516,"Multiplicative number theory: The pretentious approach",2014,"",1],[2,0.2659,-0.6533,"Multiplicative structure of division algebras over number fields and the Hasse norm principle",1985,"",1],[2,0.2912,-0.5316,"Mumford–Tate groups of mixed Hodge structures and the theorem of the fixed part",1992,"",6],[2,0.7392,-0.3095,"Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl",1908,"",1],[2,0.1145,-0.7436,"Nagoya Math. J",1987,"",1],[2,0.4987,-0.5169,"Nakai–Moishezon ampleness criterion for real line bundles",2020,"",1],[2,0.5132,-0.7077,"Natural Operations in Differential Geometry",1993,"",1],[2,0.6147,0.183,"Nauchno-Technicheskaya Informatsiya, Series 2",2018,"",2],[2,0.0248,-0.6631,"Nearly ordinary deformations of irreducible residual representations",2001,"",2],[2,0.6146,0.5473,"New examples in smooth ergodic theory. Ergodic diffeomorphisms",1970,"",1],[2,0.8596,0.0701,"New NP-Hardness Results for 3-Coloring and 2-to-1 Label Cover",2014,"",1],[2,-0.0585,0.7834,"New Perspectives in Algebraic Combinatorics",1999,"",1],[2,-0.388,-0.7421,"New results in the theory of four-dimensional manifolds",1952,"",1],[2,-0.6756,0.481,"New York Journal of Mathematics",2002,"",1],[2,-0.6151,-0.1935,"Nilpotence and Periodicity in Stable Homotopy Theory",1992,"",2],[2,0.7621,0.211,"Nilpotent commuting varieties of reductive Lie algebras",2003,"",1],[2,-0.1231,-0.0316,"NIST Digital Library of Mathematical Functions",2026,"",2],[2,-0.6685,0.4388,"Non-amenability of R. Thompson's group F",2021,"",1],[2,0.5416,-0.475,"Non-isolated Hypersurface Singularities and Lê Cycles",2015,"",1],[2,-0.7826,-0.1346,"Non-MF Groups",2026,"",1],[2,-0.0556,-0.6594,"Non-negative solutions of linear parabolic equations",1968,"",3],[2,-0.5915,0.4999,"Non-positively curved cube complexes",2011,"",1],[2,-0.6969,0.4638,"Nonassociative Ramsey theory and the amenability of Thompson's group",2012,"",1],[2,-0.6574,-0.0328,"Noncommutative Geometry",1994,"",2],[2,-0.748,0.1042,"Noncommuting vector fields, polynomial approximations and control of inhomogeneous quantum ensembles",2005,"",1],[2,-0.3715,-0.7146,"Nonlinear Elliptic Equations",0,"",1],[2,0.0037,-0.7462,"Nonvanishing of quadratic Dirichlet L-functions at s= 12",2000,"",1],[2,-0.3468,-0.5671,"Normal families of holomorphic mappings",1967,"",2],[2,0.2823,-0.6864,"Normal subgroups of SL_1,D and the classification of finite simple groups",1996,"",1],[2,-0.5335,0.5457,"Normalization in -Calculus and Type Theory",1997,"",1],[2,0.0489,0.8604,"Note on multiplicities of ideals",1960,"",1],[2,-0.3086,-0.7263,"Notes for Analysis on Manifolds via the Laplacian",2013,"",1],[2,-0.1468,-0.726,"Notes on Basic 3-Manifold Topology",0,"",1],[2,-0.4379,0.4659,"Notes on Classical Groups",2000,"",2],[2,-0.5997,0.5077,"Notes on Coxeter groups",2023,"",1],[2,0.0101,-0.6537,"Notes on elliptic curves. II",1965,"",3],[2,0.1314,0.5076,"Notes on operator algebras",2015,"",2],[2,0.2162,-0.3965,"Notes on Partial Differential Equations",2014,"",2],[2,-0.5501,-0.6659,"Notes on Riemannian Geometry",2015,"",1],[2,0.671,-0.4574,"Notes on stable maps and quantum cohomology",1997,"",1],[2,-0.4369,-0.4867,"Notes on the theory of varifolds",1987,"",2],[2,0.4276,-0.5035,"Notes on Topological Stability",1970,"",4],[2,-0.3635,0.6558,"Notices Amer. Math. Soc",2007,"",1],[2,0.6538,0.5612,"Notices of the American Mathematical Society",2009,"",1],[2,-0.7279,0.028,"Nowhere scattered (C^*)-algebras",2024,"",1],[2,0.3095,-0.8047,"Noyaux du transfert automorphe de Langlands et formules de Poisson non linéaires",2013,"",1],[2,0.1689,-0.7375,"Number Theory Day",1977,"",1],[2,-0.565,-0.6245,"Nuovi teoremi relativi alle misure (r-1)-dimensionali in uno spazio ad r dimensioni",1955,"",1],[2,0.3317,-0.7339,"Old and New Problems and Results in Combinatorial Number Theory",1980,"",1],[2,0.6577,0.0937,"On a certain converse of Hölder's inequality. II",1972,"",2],[2,0.1486,0.8343,"On a conjecture involving cycle-complete graph Ramsey numbers",2000,"",1],[2,0.1097,0.753,"On a Conjecture of O'Donnell",2020,"",1],[2,0.7206,0.1197,"On a Flexible Implementation of Digital Computer Arithmetic",1963,"",1],[2,0.551,-0.5952,"On a generalization of elementary transformations of algebraic vector bundles",1986,"",1],[2,0.3216,-0.7132,"On a problem in the theory of uniform distribution. I, II",1948,"",1],[2,-0.0946,0.6313,"On a question of Brauer in modular representation theory of finite groups",2000,"",2],[2,0.318,-0.5687,"On algebraic groups of birational transformations",1963,"",2],[2,0.1334,-0.6149,"On an elementary method in the theory of primes",1947,"",3],[2,-0.177,-0.63,"On an Inverse Boundary Value Problem",1980,"",3],[2,-0.1677,0.6486,"On analytic arcs of inner functions",2019,"",4],[2,0.2242,-0.7053,"On associators and the Grothendieck–Teichmüller group I",1998,"",1],[2,0.0898,-0.6608,"On automorphic functions and the reciprocity law in a number field",1969,"",2],[2,0.373,0.6522,"On Barnette's conjecture",2006,"",1],[2,0.4066,0.6137,"On Borsuk's problem",1994,"",1],[2,0.7454,-0.2969,"On boundedness of maximal functions in Sobolev spaces",2004,"",1],[2,0.7766,-0.301,"On Brennan's conjecture in conformal mapping",1999,"",1],[2,-0.3934,-0.5203,"On C^1-isometric imbeddings. I",1955,"",2],[2,-0.6795,-0.3947,"On CW-complexes over groups with periodic cohomology",2021,"",1],[2,-0.1202,-0.6375,"On Dehn's lemma and the asphericity of knots",1957,"",2],[2,0.7395,0.3053,"On Determinants, Matchings, and Random Algorithms",1979,"",1],[2,0.3702,0.7023,"On difference sets of sequences of integers. III",1978,"",1],[2,-0.7889,-0.2644,"On differential graded categories",2021,"",1],[2,0.4379,-0.493,"On discontinuous groups in higher-dimensional symmetric spaces",1960,"",2],[2,0.7121,0.0804,"On dominated _1 metrics",2001,"",1],[2,-0.216,-0.0683,"On elliptic partial differential equations",1959,"",5],[2,0.5618,0.5316,"On endomorphisms of compact commutative groups",1949,"",1],[2,-0.1929,0.7018,"On existence, uniqueness and stability of solutions of multidimensional SDE's with reflecting boundary conditions",1993,"",1],[2,0.6267,0.385,"On Expander Codes",2001,"",1],[2,-0.6439,-0.4738,"On extension of isometries in normed linear spaces",1972,"",1],[2,0.5984,-0.4795,"On Fano varieties whose effective divisors are numerically eventually free",2016,"",1],[2,0.3596,-0.6641,"On finiteness of relative log pluricanonical representations",2025,"",1],[2,0.0463,-0.6624,"On G-functions",1981,"",2],[2,0.3261,0.5602,"On Hadwiger's number and the stability number",1982,"",2],[2,-0.4494,-0.7455,"On homogeneous polynomials on a complex ball",1983,"",1],[2,0.5372,-0.5549,"On inversion of adjunction for log canonicity",2023,"",1],[2,-0.6524,0.5616,"On isomorphic matrix representations of infinite groups",1940,"",1],[2,-0.4397,-0.6918,"On Laplace continued fraction for the normal integral",1992,"",1],[2,0.377,-0.5541,"On linearization of line bundles",2015,"",2],[2,0.3769,-0.639,"On log flat descent",2013,"",1],[2,0.1762,0.123,"On logarithmic concave measures and functions",1973,"",8],[2,-0.1208,0.7709,"On Lusztig's parametrization of characters of finite groups of Lie type",1990,"",1],[2,-0.4186,0.5772,"On manifolds of phase coexistence",1977,"",1],[2,0.0186,-0.7849,"On modular forms of half integral weight",1973,"",1],[2,0.4976,-0.532,"On n-dimensional compact varieties with n algebraically independent meromorphic functions",1967,"",1],[2,0.139,0.0646,"On nil-algebras and finitely approximable p-groups",1964,"",2],[2,0.2504,-0.7478,"On quasitriangular quasi-Hopf algebras and a group closely connected with ( Gal( Q/ Q))",1990,"",1],[2,0.8075,-0.0029,"On quermasses of simplices",1992,"",1],[2,-0.7568,-0.2203,"On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space",1981,"",1],[2,0.0321,-0.7674,"On rings with identity relations",1957,"",1],[2,-0.6661,0.4617,"On sequences of projections",1987,"",1],[2,0.7573,-0.3679,"On some estimates for the wave equation in L^p and H^p",1980,"",1],[2,0.2403,-0.8271,"On some functions connected with (n)",1929,"",1],[2,0.7592,-0.3956,"On some Problems of Maxima and Minima for the Curve of Constant Breadth and the In-revolvable Curve of the Equilateral Triangle",1917,"",1],[2,-0.7156,-0.3303,"On spaces having the homotopy type of a CW-complex",1959,"",1],[2,-0.7058,-0.2733,"On Spherical Classes in H_*QS^n",2009,"",1],[2,-0.0242,0.6592,"On stable finiteness of group rings",2015,"",3],[2,-0.3785,-0.6851,"On symplectic folding",1999,"",1],[2,-0.7506,-0.2791,"On the 3-primary Arf–Kervaire invariant problem",2011,"",1],[2,0.5159,-0.5475,"On the action of the group of isometries on a locally compact metric space",2010,"",1],[2,0.2456,-0.7017,"On the approximation of",1953,"",1],[2,0.8053,-0.1056,"On the asymptotic behavior of minimizers of the Ginzburg–Landau model in 2 dimensions",1994,"",1],[2,0.4909,-0.5654,"On the birational automorphism groups of algebraic varieties",1987,"",1],[2,-0.307,0.674,"On the boundary continuity of conformal maps",1985,"",1],[2,0.3116,0.7517,"On the “Bruhat graph” of a Coxeter system",1991,"",1],[2,-0.6164,-0.1902,"On the chromatic splitting conjecture in coheight 1",2026,"",4],[2,0.1221,0.7087,"On the circuits of finite graphs",1963,"",1],[2,0.0222,-0.0183,"On the class field tower",1964,"",3],[2,-0.8311,-0.0052,"On the classification of simple stably projectionless C^*-algebras",2002,"",1],[2,-0.8499,-0.0052,"On the classification of von Neumann algebras and their automorphisms",1976,"",1],[2,0.3957,-0.5303,"On the cobordism class of the Hilbert scheme of a surface",2001,"",2],[2,0.1616,0.7468,"On the Complexity of Chooser-Picker Positional Games",2011,"",1],[2,0.6354,0.1233,"On the complexity of matrix multiplication",1842,"",3],[2,0.0197,-0.65,"On the conjectures of Birch and Swinnerton-Dyer and a geometric analog",1966,"",4],[2,-0.4004,-0.6421,"On the constant scalar curvature Kähler metrics (I)—A priori estimates",2021,"",1],[2,0.7678,-0.2872,"On the convergence of Fourier series",1968,"",1],[2,0.6953,0.4439,"On the Cook–Mertz Tree Evaluation Procedure",2024,"",1],[2,0.2012,-0.8224,"On the correlation of multiplicative functions",1992,"",1],[2,0.3253,-0.7077,"On the decomposition of a rational number into “Stammbrüche”",1940,"",1],[2,-0.2323,0.7711,"On the definition of the renormalization constants in quantum electrodynamics",1952,"",1],[2,0.0351,-0.7629,"On the density of modular representations",1998,"",1],[2,0.1773,-0.7274,"On the distribution of additive and the mean values of multiplicative arithmetic functions",1971,"",1],[2,-0.6364,0.4104,"On the Dixmier problem (Seminar report after Monod–Ozawa, JFA 2010)",2011,"",1],[2,0.2398,0.769,"On the evolution of random graphs",1960,"",1],[2,0.2256,0.7091,"On the existence of a factor of degree one of a connected random graph",1966,"",1],[2,-0.8048,0.2082,"On the Exponentiation of Interval Matrices",2014,"",1],[2,0.0261,0.7936,"On the finitistic global dimension conjecture for Artin algebras",2005,"",1],[2,0.183,-0.7184,"On the foundations of combinatorial theory. I. Theory of Möbius functions",1964,"",1],[2,0.1753,-0.6424,"On the frequency of numbers containing prime factors of a certain relative magnitude",1930,"",2],[2,0.3019,-0.7763,"On the geometric Langlands conjecture",2002,"",1],[2,0.0045,0.6648,"On the Grayson spectral sequence",2003,"",2],[2,0.6452,0.0544,"On the Hardness of 4-to-1 Games with Perfect Completeness",2026,"",2],[2,-0.109,-0.764,"On the Hénon–Lane–Emden conjecture",2014,"",1],[2,-0.6603,-0.3582,"On the homotopy hypothesis for 3-groupoids",2023,"",1],[2,0.0114,-0.7478,"On the Hyperbolic Uniformization of Shimura Curves with an Atkin–Lehner Quotient of Genus 0",2015,"",1],[2,0.1975,-0.7242,"On the largest prime factors of consecutive integers",2025,"",1],[2,0.1941,-0.7318,"On the largest prime factors of consecutive integers in short intervals",2017,"",1],[2,0.2075,-0.7702,"On the largest prime factors of n and n+1",1978,"",1],[2,-0.0235,0.7016,"On the least prime in an arithmetic progression. I. The basic theorem",1944,"",1],[2,0.1249,-0.8033,"On the least prime in an arithmetic progression. II. The Deuring–Heilbronn phenomenon",1944,"",1],[2,-0.8246,0.225,"On the Leverrier–Faddeev Algorithm",1998,"",1],[2,0.5552,-0.5713,"On the minimal model program for projective morphisms between compact complex analytic spaces",2026,"",1],[2,0.369,-0.6404,"On the minimal model theory of numerical Kodaira dimension zero",2011,"",1],[2,0.2104,-0.6362,"On the minimized decomposition theory of valuations",2015,"",2],[2,0.0408,-0.785,"On the modularity of reducible mod l Galois representations",2016,"",1],[2,0.7877,0.2892,"On the Most Discriminative Boolean Functions for Correlated Sources",2026,"",1],[2,0.6961,0.2615,"On the Most Informative Boolean Function under Noise",2026,"",1],[2,0.4353,0.7101,"On the Number of Halving Lines",1971,"",1],[2,0.5599,0.4823,"On the number of limit cycles appearing with variation of the coefficients from an equilibrium state of the type of a focus or a center",1952,"",1],[2,0.1771,-0.6274,"On the number of positive integers x and free of prime factors >y",1951,"",2],[2,0.4554,-0.534,"On the rationality of the period mapping",1978,"",1],[2,0.7005,-0.148,"On the Siciak extremal function for real compact convex sets",2001,"",1],[2,0.0577,-0.7486,"On the Siegel–Tatuzawa–Hoffstein theorem",2007,"",1],[2,-0.6722,-0.474,"On the size of convex hulls of small sets",2001,"",1],[2,0.6982,0.3043,"On the spectral gap of the Kac walk and other binary collision processes",2008,"",1],[2,-0.555,-0.5191,"On the structure of minimal invariant sets for nonexpansive mappings",1975,"",1],[2,0.5761,-0.5246,"On the theorem concerning the infinite-dimensionality of an associative algebra",1965,"",1],[2,-0.6113,0.2443,"On the theory of superfluidity",1947,"",5],[2,0.0344,-0.8434,"On the unitary dual of some classical Lie groups",1988,"",1],[2,-0.645,0.4169,"On uniformly bounded linear transformations in Hilbert space",1947,"",1],[2,0.3944,-0.4869,"On vanishing theorems for non-compact analytic spaces",2026,"",3],[2,0.7734,0.3508,"Online Learning with Predictable Sequences",2013,"",1],[2,0.2715,-0.7644,"Open Diophantine problems",2004,"",1],[2,-0.662,0.5542,"Open problems in combinatorial group theory",1999,"",1],[2,-0.3715,-0.5351,"Open problems in geometry",1994,"",3],[2,-0.5069,-0.688,"Open problems in geometry of curves and surfaces",2019,"",1],[2,-0.7109,0.3474,"Open Problems in Mathematical Physics",1999,"",1],[2,-0.7484,0.1885,"Operator structures in quantum information theory",2012,"",1],[2,0.6664,0.3034,"Optimal Approximations of the Frequency Moments of Data Streams",2005,"",1],[2,0.594,-0.4699,"Orbifold techniques in degeneration formulas",2016,"",1],[2,0.2586,-0.6632,"Orbites unipotentes et représentations – II. Groupes p-adiques et réels",1989,"",1],[2,0.0458,-0.7943,"Ordinary parts of admissible representations of p-adic reductive groups I. Definition and first properties",2010,"",1],[2,-0.8325,0.2418,"Orthogonale lateinische Quadrate und Anordnungen, verallgemeinerte Hadamard-Matrizen und Unabhängigkeit in der Quanten-Wahrscheinlichkeitstheorie",1991,"",1],[2,-0.1815,0.6771,"Orthonormal bases of compactly supported wavelets",1988,"",1],[2,-0.3577,-0.6916,"Outline of functional analysis",0,"",1],[2,0.028,-0.6466,"p-adic families of modular forms [after Hida, Coleman, and Mazur]",2011,"",2],[2,0.0119,-0.6418,"p-adic Hodge theory and values of zeta functions of modular forms",2004,"",6],[2,-0.3501,0.5598,"(p_c)=0 for Bernoulli bond percolation on Z^d in all dimensions d 2: a guide to the Lean formalization",2026,"",2],[2,-0.6301,0.2191,"p-harmonic coordinates for Hölder metrics and applications",2017,"",2],[2,0.0159,0.0312,"Pacific J. Math",1958,"",2],[2,-0.7342,0.1544,"Parallel Repetition for Entangled Games with Gap Exponent Three",2026,"",1],[2,-0.6414,0.1473,"Parity in Shallow QAC Circuits: Correlation Decay and Exact Lower Bounds",2026,"",2],[2,-0.3253,-0.5824,"Partial Differential Equations",2010,"",2],[2,-0.1824,-0.8524,"Partial regularity of free discontinuity sets, II",1997,"",1],[2,0.1447,0.8342,"Paths, cycles and wheels in graphs without antitriangles",1994,"",1],[2,0.6395,-0.182,"Patterns in sparse sets",2011,"",2],[2,-0.3626,-0.6888,"PDEs for a Metro Ride",2012,"",1],[2,-0.3408,0.5444,"Percolation at criticality",2026,"",2],[2,-0.4472,0.6809,"Percolation on Fuchsian groups",1998,"",1],[2,-0.7058,-0.212,"Perfectoid spaces: a survey",2013,"",1],[2,0.0151,-0.7975,"Périodes et isogénies des variétés abéliennes sur les corps de nombres (d'après D. Masser et G. Wüstholz)",1996,"",1],[2,0.5609,-0.4592,"Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems",1970,"",1],[2,0.3752,0.6135,"Planar Point Sets with Many Unit Distances",2026,"",1],[2,0.5236,-0.6268,"Platitudes (géométrie analytique)",1966,"",1],[2,0.5862,0.5373,"Plenty of elliptic islands for the standard family of area preserving maps",1994,"",1],[2,-0.6983,-0.3221,"Poincaré duality groups",2000,"",1],[2,0.4482,-0.6227,"Point sets in projective spaces and theta functions",1988,"",1],[2,-0.7091,0.4999,"Points fixes de difféomorphismes symplectiques, intersections de sous-variétés lagrangiennes, et singularités de un-formes fermées",1987,"",1],[2,-0.575,-0.5374,"Points fixes des contractions de certains faiblement compacts de L^1",1981,"",1],[2,-0.1359,-0.6497,"Pointwise inequalities for Sobolev functions and some applications",1993,"",2],[2,0.7991,0.1005,"Polynomial Time Perfect Sampling Algorithm for Two-rowed Contingency Tables",2003,"",1],[2,0.4849,-0.7081,"Polynomials with general C^2-fibers are variables",2002,"",1],[2,0.3175,-0.5697,"Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series",2004,"",2],[2,-0.3349,-0.7774,"Potential Theory in the Complex Plane",1995,"",1],[2,0.3848,0.7588,"Practical graph isomorphism",1981,"",1],[2,-0.7389,-0.1636,"Preservation of continuity",2013,"",1],[2,0.5819,-0.5545,"Primitive Forms and Vertex Operators",0,"",1],[2,0.4418,0.7032,"Probability measures on metric spaces",2003,"",1],[2,0.0911,0.274,"Probability: Theory and Examples",2019,"",3],[2,-0.5967,0.2854,"Probability Theory and Mathematical Statistics",1994,"",2],[2,0.5065,0.0453,"Problems",1974,"",3],[2,0.0229,0.1207,"Problems and results on 3-chromatic hypergraphs and some related questions",1975,"",8],[2,0.0966,-0.8161,"Problems I Like, Problem 7",0,"",1],[2,-0.088,-0.7157,"Problems in Hamiltonian PDE's",2000,"",1],[2,0.8161,-0.2929,"Problems in harmonic analysis related to curvature and oscillatory integrals",1987,"",1],[2,-0.7319,-0.3772,"Problems in low-dimensional topology",1997,"",1],[2,-0.0151,0.8098,"Problems in the theory of rings",1957,"",1],[2,0.1746,0.644,"Problems of Information Transmission",1988,"",2],[2,0.6332,-0.4724,"Problems on characterization of the complex projective space",1988,"",1],[2,-0.6968,0.4779,"Problems related to Artin groups",0,"",1],[2,-0.6501,-0.5812,"Proc. Amer. Math. Soc",1984,"",1],[2,0.6706,0.2578,"Proc. AMS",1965,"",1],[2,0.1206,-0.8176,"Proc. London Math. Soc",1928,"",1],[2,0.1137,-0.7358,"Proceedings of ISSAC 2017",2017,"",1],[2,-0.3934,0.6475,"Proceedings of Machine Learning Research",2022,"",1],[2,0.6475,0.4396,"Proceedings of the 19th International Conference on Artificial Intelligence and Statistics",2016,"",1],[2,0.7256,0.1889,"Proceedings of the 23rd Annual Symposium on Foundations of Computer Science (FOCS)",2016,"",1],[2,0.6756,0.4574,"Proceedings of the 28th Conference on Learning Theory",2015,"",1],[2,0.2213,0.8226,"Proceedings of the 29th Annual Symposium on Foundations of Computer Science",1988,"",1],[2,0.2096,0.7927,"Proceedings of the American Mathematical Society",1996,"",1],[2,0.8099,-0.1563,"Proceedings of the Conference on Convexity and Combinatorial Geometry",1971,"",1],[2,0.6884,0.2667,"Proceedings of the Fifteenth Annual ACM–SIAM Symposium on Discrete Algorithms (SODA)",2004,"",1],[2,-0.3455,0.6142,"Proceedings of the First Mathematical and Scientific Machine Learning Conference",2020,"",1],[2,0.6426,-0.1065,"Proceedings of the Fourteenth Annual ACM–SIAM Symposium on Discrete Algorithms",2003,"",2],[2,0.3019,-0.8035,"Proceedings of the International Congress of Mathematicians (Helsinki, 1978)",1980,"",1],[2,-0.6155,0.4385,"Proceedings of the International Congress of Mathematicians—Seoul 2014",2014,"",1],[2,-0.6417,-0.4437,"Proceedings of the International Congress of Mathematicians (Warsaw, 1983)",1983,"",1],[2,0.2732,-0.7071,"Proceedings of the London Mathematical Society",2018,"",1],[2,0.8019,0.2529,"Proceedings of the Third Annual ACM Symposium on Theory of Computing",1971,"",1],[2,0.6904,0.4761,"Proceedings of the Thirty-Second Conference on Learning Theory",2019,"",1],[2,0.3392,0.7255,"Proceedings of the West Coast Conference on Combinatorics, Graph Theory and Computing",1980,"",1],[2,-0.0471,0.7436,"Product formulas for the Milnor class",2000,"",1],[2,0.1624,-0.8359,"Product growth and mixing in finite groups",2008,"",1],[2,-0.7581,-0.3013,"Products of projective spaces as Steenrod modules",1990,"",1],[2,0.2105,-0.7792,"Products of ratios of consecutive integers",2005,"",1],[2,0.7638,0.2751,"Progress on the Courtade–Kumar Conjecture: Optimal High-Noise Entropy Bounds and Generalized Coordinate-wise Mutual Information",2026,"",1],[2,0.7952,-0.1433,"Projection bodies",1967,"",1],[2,-0.1258,0.7627,"Projective Modules for Frobenius Kernels and Finite Chevalley Groups",2006,"",1],[2,0.4457,-0.6652,"Projective modules over a polynomial ring are free",1976,"",1],[2,0.4524,-0.4648,"Projective morphisms according to Kawamata",1983,"",2],[2,0.4688,0.4431,"Proof of the ergodic theorem",1931,"",2],[2,-0.1149,-0.8136,"Proof of the Hénon–Lane–Emden conjecture in R^3",2019,"",1],[2,0.1597,0.7764,"Proof trees for weak achievement games",2008,"",1],[2,-0.5905,0.5955,"Proofs and Types",1989,"",1],[2,0.0224,-0.6398,"Propriétés galoisiennes des points d'ordre fini des courbes elliptiques",1972,"",2],[2,-0.3701,-0.5447,"Pseudodifferential Operators",0,"",2],[2,-0.0261,-0.0254,"Publ. Math. Inst. Hautes Études Sci",1963,"",2],[2,-0.5829,0.4142,"Publicacions Matemàtiques",2000,"",1],[2,0.0466,0.71,"Publications de l'Institut de recherche mathématiques de Rennes",1985,"",1],[2,0.3094,-0.5659,"Publications Mathématiques de l'IHÉS",2016,"",2],[2,0.3131,-0.5648,"Publications of the Research Institute for Mathematical Sciences",2011,"",2],[2,-0.6291,-0.4616,"Punti uniti in trasformazioni a codominio non compatto",1955,"",1],[2,0.3189,-0.5705,"Pure complex Hodge modules",2026,"",2],[2,-0.8321,0.0367,"Purely infinite C^*-algebras: ideal-preserving zero homotopies",2005,"",1],[2,0.6808,-0.5404,"Purity of branch locus",2026,"",1],[2,0.6311,-0.1834,"Putting convergent sequences into measurable sets",1985,"",2],[2,-0.6305,0.1889,"Quantendesigns: Grundzüge einer nichtkommutativen Designtheorie",1999,"",2],[2,-0.6164,0.2483,"Quantentheorie des einatomigen idealen Gases",1924,"",3],[2,-0.6036,0.2446,"Quantentheorie des einatomigen idealen Gases. Zweite Abhandlung",1925,"",3],[2,-0.0834,-0.803,"Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space",2020,"",1],[2,0.2422,-0.6046,"Quantization of Hitchin's integrable system and Hecke eigensheaves",0,"",2],[2,-0.7566,0.3442,"Quantum Information and Computation",2017,"",1],[2,0.5373,-0.5165,"Quantum Langlands duality and conformal field theory",2006,"",1],[2,-0.1134,0.7505,"Quantum linear groups and representations of ( _n( _q))",2001,"",1],[2,-0.531,0.3887,"Quart. J. Pure Appl. Math",1902,"",2],[2,-0.1071,0.7176,"Quasi-isolated elements in reductive groups",2004,"",1],[2,0.0299,-0.8648,"Quelques résultats sur les entiers qui sont somme des cubes de deux rationnels",1987,"",1],[2,-0.2108,0.6258,"Quenched SLE_3 Universality for the Weak Random-Bond Ising Model",2026,"",2],[2,0.7924,-0.1694,"Questions related to the Mahler and the Viterbo Conjecture",2026,"",1],[2,-0.5759,-0.4437,"Rademacher and Gaussian complexities: Risk bounds and structural results",2002,"",1],[2,-0.7129,-0.2106,"Ramification in p-adic Lie extensions",1979,"",1],[2,-0.1321,0.8229,"Ramsey's Theorem for a Class of Categories (Errata)",1973,"",1],[2,0.7182,0.0757,"Random features for large-scale kernel machines",2007,"",1],[2,-0.1625,0.6344,"Random Surfaces",2005,"",3],[2,0.7884,0.1145,"Random Walks and Electric Networks",1984,"",1],[2,-0.4789,0.6932,"Random walks in random environments",2006,"",1],[2,0.822,0.248,"Randomness and Computation",1989,"",1],[2,0.0385,-0.7847,"Rang p-adique du groupe des unités d'un corps de nombres",1968,"",1],[2,0.2826,0.7038,"Rank two detection of singularities of Schubert varieties",0,"",1],[2,0.2629,-0.7364,"Rational approximations to algebraic numbers",1960,"",1],[2,0.4924,-0.5945,"Rational curves and rational singularities",2001,"",1],[2,0.5617,-0.4256,"Rational curves on algebraic varieties",2011,"",1],[2,0.5763,-0.4856,"Rational curves on varieties",2003,"",1],[2,0.5118,-0.5215,"Rational singularities and quotients by holomorphic group actions",2011,"",1],[2,0.0687,-0.7322,"Rational Tate classes",2009,"",1],[2,0.5342,-0.3932,"Rationally connected varieties",1992,"",2],[2,0.3535,0.5557,"Real Algebraic Geometry Lecture Notes: Lecture 09",2009,"",2],[2,0.3524,-0.5522,"Real Algebraic Sets",2007,"",3],[2,-0.405,-0.6971,"Real Algebraic Varieties",2019,"",1],[2,-0.3135,-0.5752,"Real Analysis",2026,"",2],[2,0.1967,-0.1269,"Real Analysis: Modern Techniques and Their Applications",1999,"",4],[2,-0.5399,0.017,"Real and Complex Analysis",1987,"",3],[2,0.5541,0.5079,"Real trees in topology, geometry, and group theory",1997,"",1],[2,0.0959,-0.7202,"Rec. Math. [Mat. Sbornik] N.S",1937,"",1],[2,-0.679,-0.2541,"Recent computational work on EO_n",2007,"",1],[2,0.3801,-0.5356,"Recent developments in the classification theory of compact Kähler manifolds",1999,"",3],[2,0.6321,-0.3073,"Recent work connected with the Kakeya problem",1999,"",1],[2,0.1147,-0.8212,"Recherches analytiques sur la théorie des nombres premiers. Première partie: La fonction (s) de Riemann et les nombres premiers en général",1896,"",1],[2,0.5809,-0.4761,"Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents",2008,"",1],[2,0.7387,0.295,"Reconstructing Strings from Random Traces",2004,"",1],[2,-0.5009,0.5669,"Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets",1987,"",1],[2,0.1471,-0.1732,"Reductive group schemes",2014,"",4],[2,0.3014,-0.7772,"Reductive groups over local fields",1979,"",1],[2,-0.6159,0.227,"Regular points for elliptic equations with discontinuous coefficients",1963,"",7],[2,0.4437,0.6903,"Régularité et interpolation",1999,"",1],[2,-0.1489,-0.8263,"Regularity in free boundary problems",1977,"",1],[2,-0.477,-0.5676,"Regularity of optimal transport maps [after Ma–Trudinger–Wang and Loeper]",2010,"",1],[2,0.3785,-0.5092,"Regularization of closed positive currents and intersection theory",1992,"",8],[2,-0.0904,0.7569,"Relative cotilting theory and almost complete cotilting modules",1998,"",1],[2,-0.7699,0.1692,"Relative entropy and single qubit Holevo–Schumacher–Westmoreland channel capacity",2002,"",1],[2,0.432,-0.5946,"Relative virtual localization and vanishing of tautological classes on moduli spaces of curves",2005,"",1],[2,0.6668,0.4263,"Relativization of Questions About Log Space Computability",1976,"",1],[2,0.3919,-0.6812,"Relèvements modulo p^2 et décomposition du complexe de de Rham",1987,"",1],[2,-0.4958,-0.5354,"Remarks concerning the conformal deformation of Riemannian structures on compact manifolds",1968,"",1],[2,0.3461,-0.5477,"Remarks on the Nagata conjecture",2004,"",2],[2,-0.3358,0.73,"Rendiconti del Seminario Matematico della Università di Padova",1957,"",1],[2,-0.4374,0.7442,"Representation formula for the entropy and functional inequalities",2013,"",1],[2,-0.072,0.7584,"Representation Theory: A First Course",1991,"",1],[2,0.5409,-0.457,"Representation theory and projective geometry",2004,"",1],[2,0.0296,-0.6505,"Représentations de GL_2( Q_p) et ( , )-modules",2010,"",2],[2,0.264,-0.6907,"Représentations des groupes réductifs p-adiques",2010,"",1],[2,-0.6869,-0.2514,"Representations of Algebraic Groups I",1985,"",1],[2,0.048,-0.8547,"Représentations p-adiques ordinaires de GL_2( Q_p) et compatibilité local-global",2010,"",1],[2,0.0098,-0.7857,"Représentations p-adiques semi-stables",1994,"",1],[2,0.2278,-0.6023,"Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility for p-adic Hyperbolic Curves",2024,"",2],[2,0.3725,-0.5069,"Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II",1964,"",3],[2,0.547,-0.4888,"Resolution of singularities of analytic spaces",2009,"",1],[2,0.489,-0.6034,"Resolution of Singularities of Threefolds in Positive Characteristic",2008,"",1],[2,-0.091,0.8247,"Resolutions of unbounded complexes",1988,"",1],[2,0.6866,-0.3805,"Restriction theorems for the Fourier transform",1979,"",1],[2,0.6393,0.0898,"Reversible Markov Chains and Random Walks on Graphs",2014,"",3],[2,0.7339,0.3385,"Revisiting Frank–Wolfe: Projection-Free Sparse Convex Optimization",2013,"",1],[2,-0.5943,0.6074,"Rewriting",2001,"",1],[2,-0.2992,-0.5643,"Ricci Flow and the Poincaré Conjecture",2007,"",2],[2,0.67,-0.5374,"Riemann–Hurwitz",2026,"",1],[2,0.1052,-0.7204,"Riemann Hypothesis",0,"",1],[2,-0.4954,-0.6859,"Riemannian Geometry",0,"",1],[2,0.0575,-0.8636,"Rigid local systems, Hilbert modular forms, and Fermat's Last Theorem",2000,"",1],[2,-0.2026,-0.7249,"Rigidity and Geometry of Microstructures",2003,"",1],[2,-0.6597,0.4602,"RIMS Kôkyûroku",2013,"",1],[2,0.3936,-0.6446,"Rings of invariants of tori, Cohen–Macaulay rings generated by monomials, and polytopes",1972,"",1],[2,-0.0065,0.803,"Ringtheoretische Probleme, die mit dem Burnsideschen Problem über periodische Gruppen in Zusammenhang stehen",1941,"",1],[2,-0.6043,-0.5403,"Russian Math. Surveys",1978,"",1],[2,0.2777,0.5738,"Ryser's conjecture on transversals of r-partite hypergraphs",1983,"",2],[2,-0.7467,-0.2705,"S-modules and symmetric spectra",2001,"",1],[2,-0.2494,0.7348,"Sampling permutations with cell probes is hard",2025,"",1],[2,-0.2833,0.7021,"Scaling limits for the critical Fortuin–Kastelyn model on a random planar map III: finite volume case",2015,"",1],[2,-0.4253,-0.6917,"Schauder estimates for higher-order parabolic systems with time irregular coefficients",2015,"",1],[2,0.277,0.6781,"Schubert varieties and Poincaré duality",1980,"",1],[2,-0.4039,-0.7658,"Seiberg Witten and Gromov Invariants for Symplectic 4-Manifolds",2000,"",1],[2,0.6118,0.537,"Selected topics from the metric theory of dynamical systems",1949,"",1],[2,0.1305,-0.8482,"Selected Works",1985,"",1],[2,-0.3711,-0.5523,"Self-dual Kähler manifolds and Einstein manifolds of dimension four",1983,"",2],[2,0.0129,-0.664,"Selmer complexes",2006,"",3],[2,-0.427,-0.6971,"Semi-global existence and convergence of solutions of the Robinson–Trautman (2-dimensional Calabi) equation",1991,"",1],[2,-0.6739,0.2471,"Semi-Riemannian Geometry with Applications to Relativity",1983,"",1],[2,-0.5972,0.2678,"Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima: asymptotic expansions",1983,"",2],[2,0.3763,-0.5295,"Séminaire Bourbaki",1961,"",2],[2,0.8369,-0.1236,"Séminaire d'analyse fonctionnelle",1981,"",1],[2,-0.7174,-0.4983,"Séminaire d'analyse fonctionnelle, École Polytechnique",0,"",1],[2,-0.6562,-0.45,"Séminaire de probabilités",1979,"",1],[2,-0.4088,0.7596,"Séminaire de Probabilités XIX",1985,"",1],[2,0.4613,-0.6813,"Seminormality and Picard group",1970,"",1],[2,0.4066,0.6678,"Separability II",0,"",1],[2,0.4252,0.5793,"Set-polynomials and polynomial extension of the Hales–Jewett theorem",1999,"",1],[2,-0.5348,0.5553,"Set Theory",2003,"",1],[2,-0.5948,-0.4547,"Set Theory: An Introduction to Independence Proofs",1980,"",1],[2,0.8232,-0.2529,"Sets avoiding images of a given sequence",2015,"",1],[2,0.2151,-0.7183,"Sets of monotonicity for Euler's totient function",2013,"",1],[2,0.4531,0.6953,"Sets with Large Borsuk Number",2000,"",1],[2,-0.0811,-0.8488,"Sharp stability of Brenier maps via quantitative regularity of potentials",2026,"",1],[2,0.046,-0.6383,"Shimura varieties and moduli",2013,"",2],[2,0.0447,-0.6442,"Shimura Varieties: The Geometric Side of the Zeta Function",1995,"",2],[2,-0.2698,-0.649,"Short Course on Pseudodifferential Operators",2008,"",1],[2,0.5738,0.4013,"SIAM J. Discrete Math",1992,"",1],[2,-0.5778,-0.5136,"SIAM J. Matrix Anal. Appl",2017,"",1],[2,0.2162,-0.7146,"Sieve methods lecture notes",2023,"",1],[2,0.1802,-0.6819,"Sieve Methods Lecture Notes, Spring 2023",2023,"",1],[2,-0.6564,-0.052,"Similarities of II_1 factors with property",1986,"",2],[2,0.0455,-0.6529,"Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula",1989,"",2],[2,0.437,-0.6379,"Simple birational extensions of two dimensional affine rational domains",1976,"",1],[2,0.1042,-0.0492,"Singular Integrals and Differentiability Properties of Functions",1970,"",3],[2,0.6493,-0.284,"Singular integrals and rectifiable sets in R^n. Au-delà des graphes lipschitziens",1991,"",1],[2,0.483,-0.4445,"Singular Points of Complex Hypersurfaces",1968,"",5],[2,-0.1306,-0.6304,"Singularities and computation of minimizers for variational problems",2001,"",2],[2,-0.6257,0.2196,"Singularities and time-asymmetry",1979,"",3],[2,-0.1242,-0.8524,"Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems",2007,"",1],[2,-0.3529,0.7484,"Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse",1931,"",1],[2,0.3146,-0.587,"Siu's invariance of plurigenera: a one-tower proof",2007,"",2],[2,0.046,-0.731,"SL_2 over complex quadratic number fields. I",1978,"",1],[2,-0.2543,0.6116,"SLE_3 universality for weak finite-range Ising interactions",2026,"",2],[2,0.547,0.6166,"Slow entropy type invariants and smooth realization of commuting measure-preserving transformations",1997,"",1],[2,0.0549,-0.8236,"Small points and adelic metrics",1995,"",1],[2,0.1669,0.8199,"Snaky is a 41-dimensional winner",2004,"",1],[2,0.1843,0.852,"Snaky is a winner with one handicap",2007,"",1],[2,-0.2802,-0.6769,"Sobolev Spaces",0,"",1],[2,-0.031,0.8399,"Sofic groups and dynamical systems",2000,"",1],[2,-0.6309,-0.1924,"Solid group cohomology",2020,"",2],[2,-0.6287,0.2165,"Solutions of Some Problems of Vector Analysis Associated with the Operators div and grad",1980,"",2],[2,-0.0309,0.6483,"Some cases of the Eisenbud–Green–Harris conjecture",2008,"",2],[2,0.783,-0.3843,"Some connections between Falconer's distance set conjecture and sets of Furstenburg type",2001,"",1],[2,-0.339,-0.5727,"Some negatively curved complex geometry",2019,"",2],[2,0.4407,0.5989,"Some new additive and multiplicative Ramsey numbers",2013,"",1],[2,0.5757,-0.275,"Some new estimates on oscillatory integrals",1995,"",2],[2,-0.3422,-0.7251,"Some new symplectic 4-manifolds",1992,"",1],[2,-0.6153,0.3873,"Some open problems",2026,"",1],[2,-0.1437,-0.738,"Some open problems in elasticity",2002,"",1],[2,-0.6918,0.1752,"Some open problems in quantum information theory",2005,"",1],[2,0.5596,-0.3056,"Some problems in harmonic analysis",1979,"",2],[2,-0.6569,-0.0327,"Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon–Nikodym theorem with a chain rule",1974,"",2],[2,0.5959,-0.4715,"Some rational cubic fourfolds",1999,"",1],[2,0.0804,-0.8044,"Some recent advances and current problems in number theory",1965,"",1],[2,0.2291,-0.7934,"Some remarks on Euler's function",1958,"",1],[2,0.2152,-0.7142,"Some remarks on Euler's function and some related problems",1945,"",1],[2,-0.272,-0.6906,"Some remarks on isoperimetry of Gaussian type",2000,"",1],[2,-0.6066,0.3967,"Some remarks on M_d-multipliers and approximation properties",2025,"",1],[2,0.0361,-0.1162,"Some results on convex bodies and Banach spaces",1961,"",2],[2,-0.3037,-0.7698,"Some sharp isoperimetric theorems for Riemannian manifolds",2000,"",1],[2,-0.7843,-0.2302,"Some spectral sequences in Morava E-theory",2004,"",1],[2,0.2426,-0.8287,"Some unconventional problems in number theory",1979,"",1],[2,0.4607,0.5938,"Some unsolved problems",1961,"",1],[2,0.6395,-0.0952,"Soviet Physics Doklady",1965,"",2],[2,-0.201,0.6152,"Soviet Physics JETP",1970,"",3],[2,0.5414,0.3567,"Space Lower Bounds for Linear Prediction in the Streaming Model",2019,"",5],[2,-0.4389,-0.5835,"Spaces and questions",2000,"",1],[2,-0.4991,-0.4306,"Spaces of Lipschitz and Hölder functions and their applications",2004,"",3],[2,0.0512,0.8122,"Special conditions on maximal Cohen–Macaulay modules, and applications to the theory of multiplicities",1999,"",1],[2,0.863,0.1292,"Spectral Independence: A New Tool to Analyze Markov Chains",2023,"",1],[2,-0.6278,0.3933,"Spectral Sequences in Algebraic Topology",2004,"",1],[2,-0.4985,-0.5771,"Spectral Theory",0,"",1],[2,0.4187,0.7258,"Spectres de graphes",1998,"",1],[2,0.4021,0.6979,"Spectres d'opérateurs différentiels sur les graphes",1999,"",1],[2,-0.6691,0.2583,"Spectrum of molecular electron energy operators in spaces of functions of specified symmetry",1969,"",1],[2,0.009,-0.8292,"Speculations about the topology of rational points: an up-date",1995,"",1],[2,-0.7068,0.254,"Spin Geometry",1989,"",1],[2,0.2621,0.7143,"Squaring the tournament—an open problem",1995,"",1],[2,-0.7759,0.2574,"Stability of Multidimensional Shocks",2003,"",1],[2,0.2489,-0.6133,"Stable G-bundles and projective connections",1993,"",2],[2,0.2555,-0.6843,"Stable reduction and rigid analytic uniformization of abelian varieties",1983,"",1],[2,-0.731,-0.4326,"Stackings and the W-cycles conjecture",2017,"",1],[2,0.3089,-0.5478,"Stacks Project",2026,"",3],[2,-0.1831,-0.7733,"Statistical Mechanics: Rigorous Results",1969,"",1],[2,-0.1862,0.7659,"Stochastic Analysis",2019,"",1],[2,-0.1922,0.7666,"Stochastic Calculus: An Introduction with Applications",2023,"",1],[2,0.7598,0.1361,"Stochastic Games with Zero Stop Probabilities",1957,"",1],[2,-0.6301,-0.4962,"Stochastic Processes",1953,"",1],[2,0.4782,-0.4239,"Strong approximation for algebraic groups",2014,"",2],[2,0.3807,0.7347,"Strong Independence of Graphcopy Functions",1979,"",1],[2,-0.1937,-0.703,"Strongly Elliptic Systems and Boundary Integral Equations",2000,"",1],[2,-0.6592,0.0289,"Strongly self-absorbing (C^*)-algebras",2007,"",2],[2,0.0484,-0.8182,"Structure de certains pro-p-groupes",1964,"",1],[2,0.5368,0.4978,"Structure theory of set addition",2002,"",1],[2,0.6557,-0.5491,"Structures de contact sur les variétés algébriques de dimension 5",1998,"",1],[2,-0.1334,0.5426,"Studia Scientiarum Mathematicarum Hungarica",1983,"",3],[2,0.7978,0.1155,"Submodular functions, matroids, and certain polyhedra",1970,"",1],[2,0.8567,-0.0214,"Subpolynomial dimension reduction in L_p",2026,"",1],[2,-0.5579,-0.6273,"Successioni convergenti di ipersuperfici di curvatura media assegnata",1975,"",1],[2,0.6951,-0.4464,"Sugaku Expositions",1989,"",1],[2,0.6151,-0.4969,"Sulle forme cubiche dello spazio a cinque dimensioni contenenti rigate razionali del 4^ ordine",1943,"",1],[2,-0.3163,-0.8093,"Superficies con curvatura media constante",1994,"",1],[2,0.6086,0.3574,"Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits",2021,"",1],[2,-0.6124,0.2118,"Superpositions and Higher Order Gaussian Beams",2008,"",3],[2,-0.0701,0.6628,"Sur certains modules gradués associés aux produits symétriques",1997,"",2],[2,0.3061,0.8163,"Sur des classes très-étendues de quantités dont la valeur n'est ni algébrique, ni même réductible à des irrationnelles algébriques",1851,"",1],[2,0.5154,-0.6141,"Sur la division des domaines de Siegel",1970,"",1],[2,-0.3904,-0.5197,"Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien",1927,"",2],[2,-0.2418,0.6164,"Sur la représentation conforme de domaines variables",1923,"",3],[2,0.7352,-0.3888,"Sur la sommation des séries de Fourier",1923,"",1],[2,-0.1632,-0.8506,"Sur la sphère vide. À la mémoire de Georges Voronoï",1934,"",1],[2,-0.0435,-0.2092,"Sur la topologie des variétés algébriques en caractéristique p",1958,"",2],[2,0.0048,-0.8748,"Sur l'algébricité des représentations l-adiques",1980,"",1],[2,-0.3145,0.7832,"Sur le chaos multiplicatif",1985,"",1],[2,0.7533,-0.1603,"Sur le volume des corps convexes symétriques",1981,"",1],[2,0.0049,-0.6591,"Sur les coefficients de Fourier des formes modulaires de poids demi-entier",1981,"",2],[2,0.2578,-0.6782,"Sur les groupes algébriques",1973,"",1],[2,-0.6107,0.4243,"Sur les groupes de tresses [d'après V. I. Arnol'd]",1973,"",1],[2,0.856,0.1312,"Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires",1927,"",1],[2,-0.6998,-0.0306,"Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés (d'après D. A. Kajdan)",1968,"",1],[2,0.0169,-0.7301,"Sur les représentations -adiques associées aux formes modulaires de Hilbert",1986,"",1],[2,-0.4497,-0.6312,"Sur les surfaces à courbure négative",1926,"",1],[2,-0.6687,-0.485,"Sur les transformations isométriques d'espaces vectoriels normés",1932,"",1],[2,0.0182,-0.6387,"Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie",1985,"",2],[2,-0.3089,0.7025,"Sur l'homéomorphie de deux figures et de leurs voisinages",1921,"",1],[2,0.0489,-0.8581,"Sur quelques représentations potentiellement cristallines de GL_2( Q_p)",2010,"",1],[2,0.1661,-0.6315,"Sur quelques résultats récents de transcendance",1991,"",2],[2,0.8367,-0.1116,"Sur un théorème de M. S. Bernstein relatif à la transformation de Laplace-Stieltjes",1940,"",1],[2,0.6004,0.5945,"Sur un théorème ergodique pour des mesures diagonales",1987,"",1],[2,0.3543,0.6156,"Sur une hypothèse de transversalité d'Arnold",1988,"",1],[2,0.8334,0.2643,"Sur une inégalité relative aux fonctions convexes",1932,"",1],[2,0.6145,-0.4927,"Surfaces algébriques complexes",1978,"",1],[2,0.6176,-0.4532,"Survey of Oka theory",2011,"",1],[2,0.0333,-0.8641,"Sylvester's problem and mock Heegner points",2018,"",1],[2,0.378,-0.5332,"Symmetric and Quadratic Forms, with Applications to Coding Theory, Algebraic Geometry and Topology",2024,"",2],[2,-0.3748,-0.7063,"Symplectic Calabi–Yau surfaces",2010,"",1],[2,0.2616,0.7934,"Talagrand's discrete-convexity conjecture",2026,"",1],[2,0.1474,0.0609,"Tannakian Categories",2025,"",2],[2,0.7749,0.1585,"Taylor Models and Other Validated Functional Inclusion Methods",2003,"",1],[2,0.4172,-0.7412,"Techniques de construction en géométrie analytique. II. Généralités sur les espaces annelés et les espaces analytiques",1960,"",1],[2,0.4192,-0.7532,"Techniques de construction en géométrie analytique. III. Produits fibrés d'espaces analytiques",1960,"",1],[2,0.3558,-0.6325,"Techniques de construction en géométrie analytique. VIII. Rapport sur les théorèmes de finitude de Grauert et Remmert",1960,"",1],[2,0.4205,-0.5077,"Techniques de construction et théorèmes d'existence en géométrie algébrique IV : les schémas de Hilbert",1961,"",11],[2,-0.6282,0.0459,"Ten Advances in Mathematics and Theoretical Computer Science",2026,"",2],[2,-0.0507,0.7168,"Tensor Product Decomposition",2010,"",1],[2,-0.685,0.1947,"The 2-Transitive Complex Hadamard Matrices",2001,"",1],[2,0.3565,0.6636,"The 50th Anniversary of One Problem: The Chromatic Number of the Plane & Its Relatives. Part 1",2003,"",1],[2,0.5672,-0.6058,"The algebraization of Kazhdan's property (T)",2006,"",1],[2,0.1835,-0.8457,"The Analytic Class Number Formula",2021,"",1],[2,0.4285,-0.5947,"The Arithmetic and Geometry of Algebraic Cycles",2000,"",1],[2,0.1674,-0.7809,"The asymptotic distribution of integers on a hyperboloid of one sheet and ergodic theorems",1962,"",1],[2,0.0297,-0.6481,"The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one",2017,"",2],[2,0.1223,-0.7192,"The Bombieri–Halász–Montgomery inequality",0,"",1],[2,-0.4402,-0.7052,"The Calabi flow with rough initial data",2021,"",1],[2,-0.1229,0.7436,"The Classification of the Finite Simple Groups, Number 3: Part I, Chapter A. Almost Simple K-Groups",1998,"",1],[2,-0.1122,0.7243,"The Cohen structure theorem",2026,"",1],[2,0.3673,0.6244,"The Colin de Verdière graph parameter",1999,"",1],[2,0.7369,0.1709,"The Complexity of a Scheme of Functional Elements Simulating the Multiplication of Integers",1963,"",1],[2,0.6099,0.3781,"The Complexity of Markov Equilibrium in Stochastic Games",2023,"",1],[2,0.5086,0.5699,"The conjugacy problem in ergodic theory",2011,"",1],[2,0.6255,-0.2224,"The convex analysis of unitarily invariant matrix functions",1995,"",2],[2,-0.87,0.0356,"The Cuntz semigroup, the Elliott conjecture, and dimension functions on C^*-algebras",2008,"",1],[2,0.1249,0.6982,"The cycle-complete graph Ramsey number r(C_8,K_8)",2007,"",1],[2,0.3061,-0.7835,"The deformation theory of representations of the fundamental group of a smooth variety",2019,"",1],[2,0.6257,-0.5388,"The Denef–Loeser zeta function is not a topological invariant",2002,"",1],[2,0.1574,-0.7643,"The density hypothesis for Dirichlet L-series",1965,"",1],[2,-0.265,0.6584,"The depth first processes of Galton–Watson trees converge to the same Brownian excursion",2003,"",1],[2,-0.8415,-0.0613,"The derivation problem and the similarity problem are equivalent",1996,"",1],[2,-0.1329,0.8585,"The derived category of blocks with cyclic defect groups",1998,"",1],[2,0.842,0.2163,"The Design of Approximation Algorithms",2011,"",1],[2,-0.4689,0.5199,"The Diophantineness of Enumerable Sets",1970,"",1],[2,0.0654,-0.8612,"The E CM component of Zilber–Pink for curves in A_2",2026,"",1],[2,-0.0567,0.8458,"The eigencone and saturation for Spin(8)",2009,"",1],[2,-0.5275,-0.5586,"The entropy formula for the Ricci flow and its geometric applications",2002,"",1],[2,0.0067,0.6411,"The equicharacteristic case of the Gersten conjecture",2003,"",2],[2,-0.5485,0.6092,"The Existence of Non-effectivizable Estimates in the Theory of Exponential Diophantine Equations",1974,"",1],[2,0.4616,-0.6638,"The fibers of the Prym map",1992,"",1],[2,-0.4286,-0.6378,"The formation of singularities in the Ricci flow",1995,"",1],[2,-0.6514,-0.3182,"The foundations of four-manifold theory in the topological category",2025,"",1],[2,0.1864,-0.7971,"The Gaussian Integers",2026,"",1],[2,-0.2051,0.1594,"The Geometry and Topology of Coxeter Groups",2008,"",3],[2,-0.7156,-0.3622,"The Geometry of Four-Manifolds",1990,"",1],[2,-0.0906,0.2903,"The Geometry of the Classical Groups",1992,"",4],[2,0.0522,0.7332,"The Grothendieck Festschrift",1990,"",1],[2,0.4054,0.753,"The Hadwiger–Nelson Problem: Formal Verification of the 7-Color Chromatic Number of the Plane via Toroidal Projection and the Irrationality of 2",2026,"",1],[2,0.5902,-0.5914,"The Hodge filtration on nonabelian cohomology",1997,"",1],[2,-0.8086,-0.2358,"The homotopy groups _*(L_2S^0)",1995,"",1],[2,-0.5533,0.385,"The Homotopy Type of Complex Hyperplane Complements",1983,"",2],[2,-0.1307,-0.8198,"The “hot spots” conjecture for nearly circular planar convex domains",2007,"",1],[2,0.5779,-0.5048,"The integral Seifert form does not determine the topology of plane curve germs",1994,"",1],[2,0.0647,-0.8068,"The intersection of a curve with algebraic subgroups in a product of elliptic curves",2003,"",1],[2,0.4482,-0.6209,"The irreducibility of the space of curves of given genus",1969,"",1],[2,-0.2673,-0.6877,"The isoperimetric problem",2005,"",1],[2,-0.3136,0.3278,"The K-book: An introduction to algebraic K-theory",2013,"",6],[2,-0.0043,0.7801,"The K-theory of an equicharacteristic discrete valuation ring injects into the K-theory of its field of quotients",1978,"",1],[2,0.5931,-0.5025,"The Keel–Mori theorem via stacks",2005,"",1],[2,-0.3466,0.6164,"The LASSO risk for gaussian matrices",0,"",1],[2,-0.6099,0.4363,"The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions",1994,"",1],[2,-0.2384,0.7193,"The Mathematics of Card Shuffling",2009,"",1],[2,0.3738,-0.5129,"The minimal discrepancy of a 3-fold terminal singularity",1993,"",2],[2,0.2574,0.6984,"The minimum degree approach for Paul Seymour's distance 2 conjecture",2001,"",1],[2,0.3736,0.6384,"The minimum Hadwiger number for graphs with a given mean degree of vertices",1982,"",1],[2,-0.33,-0.5351,"The Motion of a Surface by Its Mean Curvature",1978,"",2],[2,-0.5623,-0.6255,"The normal variations technique for studying the shape of capillary surfaces",1984,"",1],[2,-0.2744,-0.5903,"The Picard group of a quasi-bundle",1991,"",2],[2,-0.837,-0.0264,"The Probabilistic Method",2016,"",1],[2,-0.1037,-0.7441,"The proof of the Lane–Emden conjecture in four space dimensions",2009,"",1],[2,0.1032,-0.1579,"The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane (Re(s)>7/8)",2026,"",3],[2,0.5987,0.3883,"The Randomized Midpoint Method for Log-Concave Sampling",2019,"",1],[2,-0.626,-0.1808,"The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2",2014,"",4],[2,-0.7449,0.0211,"The real and stable rank of tracially complete C^*-algebras",2026,"",1],[2,0.4863,-0.4329,"The real Seifert form and the spectral pairs of isolated hypersurface singularities",1995,"",2],[2,0.6237,0.1955,"The Reduction of a Graph to Canonical Form and the Algebra Which Appears Therein",1968,"",2],[2,0.6976,-0.1428,"The Richberg technique for subsolutions",2020,"",1],[2,0.2084,-0.8137,"The Riemann Hypothesis and Hilbert's Tenth Problem",1965,"",1],[2,-0.8344,0.0992,"The role of locality in perturbation theory",1973,"",1],[2,-0.2763,0.576,"The Self-Avoiding Walk",1993,"",3],[2,-0.2311,0.8162,"The semimartingale structure of reflecting Brownian motion",1990,"",1],[2,-0.7658,-0.0539,"The similarity problem for representations of C^*-algebras",1981,"",1],[2,0.3175,-0.788,"The singular support of an -adic sheaf",2024,"",1],[2,-0.8178,-0.2881,"The -spectrum for Brown–Peterson cohomology. Part II",1975,"",1],[2,0.6401,-0.5517,"The spectrum of hypersurface singularities",1989,"",1],[2,-0.8151,0.3121,"The spectrum of the energy operator for atoms with fixed nuclei on subspaces corresponding to irreducible representations of the group of permutations",1965,"",1],[2,-0.7929,-0.327,"The spectrum of the equivariant stable homotopy category of a finite group",2017,"",1],[2,-0.3158,-0.6845,"The stability theorem for smooth pseudoisotopies",1988,"",1],[2,-0.7677,0.0354,"The stable and the real rank of ( )-absorbing (C^*)-algebras",2004,"",1],[2,0.1024,-0.1388,"The Stacks Project",2026,"",66],[2,-0.701,-0.2987,"The Stacks Project: Čech and Sheaf Cohomology",2026,"",1],[2,0.3649,-0.6689,"The Stacks Project: Coherent sheaves on Proj, I",2026,"",1],[2,-0.791,-0.3345,"The Stacks Project: Derived Categories",2026,"",1],[2,-0.7526,-0.3259,"The Stacks Project: Derived Colimits",2026,"",1],[2,0.3133,-0.5726,"The Stacks Project: Grothendieck's existence theorem, I",2026,"",2],[2,0.4262,-0.4819,"The Stacks Project, Lemma 31.18.7",2026,"",2],[2,0.7706,0.1713,"The Stacks Project: Nakayama's lemma",2026,"",1],[2,0.8,0.1787,"The Stacks Project: Noether normalization",2026,"",1],[2,-0.7467,-0.3131,"The Stacks Project: Proper Base Change in Topology",2026,"",1],[2,0.3243,-0.7994,"The status of the classification of the finite simple groups",2004,"",1],[2,-0.7524,-0.4036,"The Steinberg character of a finite group with BN-pair",1969,"",1],[2,0.6778,-0.4461,"The structure of uniruled manifolds with split tangent bundle",2008,"",1],[2,0.0796,-0.8223,"The Tate conjecture over finite fields (AIM talk)",2008,"",1],[2,0.1667,-0.8394,"The ternary Goldbach problem",2019,"",1],[2,0.2852,-0.6964,"The theorem of Grunwald–Wang in the setting of valuation theory",2003,"",1],[2,-0.5076,-0.3926,"The topological classification of weak unit balls of Banach spaces",2000,"",3],[2,0.4865,-0.6967,"The topological invariants of algebraic varieties",1952,"",1],[2,-0.0258,0.851,"The Topology and Geometry of Units and Zero-Divisors: Origami",2024,"",1],[2,0.7177,0.1979,"The transversality of a general translate",1974,"",1],[2,-0.0136,0.7947,"The ultraproduct construction",2010,"",1],[2,0.1216,0.6932,"The value of the Ramsey number R(C_n,K_4) is 3(n-1)+1 (n 4)",1999,"",1],[2,-0.3627,-0.7261,"The weak Blaschke conjecture for HP^n",1985,"",1],[2,0.0291,-0.8468,"The Weighted Fundamental Lemma for Non-Split Groups",0,"",1],[2,0.506,-0.5466,"The zero-in-the-spectrum question",1996,"",1],[2,0.5407,-0.6768,"Théorèmes de Bertini et applications",1983,"",1],[2,0.2731,-0.803,"Théorèmes de finitude en cohomologie -adique",1977,"",1],[2,-0.7214,-0.0286,"Théorèmes de finitude en cohomologie galoisienne",1964,"",1],[2,0.4602,0.443,"Théorèmes ergodiques ponctuels pour des mesures diagonales. Cas des systèmes distaux",1987,"",2],[2,0.7909,0.1016,"Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems",1972,"",1],[2,-0.6809,-0.2575,"Théorie de Dieudonné cristalline I",1979,"",1],[2,-0.6174,-0.3452,"Théorie de l'homotopie des -catégories strictes",2023,"",1],[2,-0.6833,-0.4821,"Theorie der Operatorenideale (Zusammenfassung)",1972,"",1],[2,0.4031,-0.7308,"Théorie des topos et cohomologie étale des schémas, Tome 2",0,"",1],[2,0.4911,-0.4369,"Theory of fibered 3-knots in S^5 and its applications",1999,"",2],[2,0.6312,-0.5025,"Three constructions of rationality of a cubic fourfold",1984,"",1],[2,0.625,-0.5417,"Three-Dimensional Link Theory and Invariants of Plane Curve Singularities",1985,"",1],[2,0.7833,0.1437,"Thresholds for Sensitive Optimality and Blackwell Optimality in Stochastic Games",2025,"",1],[2,-0.1332,0.7922,"Tilting Modules and their Applications",2000,"",1],[2,0.048,-0.7879,"Topics in Galois Theory",2008,"",1],[2,-0.1278,-0.6334,"Topics in Geometric Group Theory",2000,"",2],[2,-0.5054,-0.5872,"Topics in GMT (Math 258)",0,"",1],[2,0.5617,0.608,"Topological entropy and degree of smooth mappings",1977,"",1],[2,0.5722,0.6236,"Topological entropy and homology",1976,"",1],[2,-0.6674,-0.3199,"Topological rigidity for non-aspherical manifolds",2009,"",1],[2,-0.6866,-0.2969,"Topological Transformation Groups",1955,"",1],[2,0.5941,-0.5182,"Topological triviality of -constant families of surface singularities",2026,"",1],[2,0.5373,-0.4672,"Topological type of isolated critical points",1978,"",1],[2,0.5525,-0.4906,"Topological types of complex isolated hypersurface singularities",1989,"",1],[2,0.0161,0.0281,"Topology",2014,"",2],[2,-0.5531,0.1929,"Topology from the Differentiable Viewpoint",1965,"",6],[2,-0.7782,-0.372,"Topology of 4-manifolds",1990,"",1],[2,-0.3214,-0.7016,"Topology of isotropy orbits",1997,"",1],[2,-0.7692,-0.4158,"Toposes, Triples and Theories",1985,"",1],[2,0.5506,-0.5858,"Tores et variétés abéliennes complexes",1999,"",1],[2,0.4412,-0.484,"Toric Varieties",2011,"",3],[2,0.4931,-0.6603,"Torsion algebraic cycles and a theorem of Roitman",1979,"",1],[2,-0.7807,-0.3346,"Totally disconnected groups, p-adic groups and the Hilbert–Smith conjecture",1997,"",1],[2,0.2903,-0.7638,"Tout groupe fini est un groupe de Galois sur Q_p(T), d'après Harbater",1995,"",1],[2,0.0666,-0.7184,"Towards a proof of the conjecture of Langlands and Rapoport",2000,"",1],[2,-0.577,0.6382,"Towards Finite-fold Diophantine Representations",2010,"",1],[2,0.6754,0.2636,"Trace reconstruction with constant deletion probability and related results",2008,"",1],[2,0.2479,-0.6612,"Transactions of the American Mathematical Society",2013,"",1],[2,0.0205,-0.7503,"Transfer principle for the fundamental lemma",2011,"",1],[2,0.0101,-0.702,"Travaux de Shimura",1971,"",1],[2,-0.3488,-0.7456,"Travaux de Smale sur la structure des variétés",1962,"",1],[2,0.3806,-0.5131,"Triangulation of semi-analytic sets",1964,"",4],[2,0.4484,-0.4589,"Triangulation of stratified objects",1978,"",3],[2,-0.7903,-0.0058,"Twisted cohomology theories and the single obstruction to lifting",1972,"",1],[2,0.3189,-0.8077,"Two-dimensional -adic representations of the fundamental group of a curve over a finite field and automorphic forms on GL(2)",1983,"",1],[2,-0.642,-0.3749,"Two remarks on Wall's D2 problem",2019,"",1],[2,0.7696,-0.0712,"Two-stage binary correction for nearly linear lattice coverings",2026,"",1],[2,0.3091,-0.722,"Über die absoluten Galoisgruppen algebraischer Zahlkörper",1977,"",1],[2,0.6102,-0.2445,"Über die Drehung der Tangenten und Sehnen ebener Kurven",1935,"",2],[2,0.1545,-0.8528,"Über die Gitterpunkte auf konvexen Kurven",1926,"",1],[2,0.4602,0.6202,"Über die Kongruenz x^m+y^m z^m p",1916,"",1],[2,0.1602,-0.7902,"Über die Verteilung der Zahlen, die zu den n ersten Primzahlen teilerfremd sind",1931,"",1],[2,-0.1222,0.7355,"Über die Vollständigkeit eines gewissen Systems der Arithmetik ganzer Zahlen, in welchem die Addition als einzige Operation hervortritt",1930,"",1],[2,0.3367,0.5619,"Über eine Klassifikation der Streckenkomplexe",1943,"",3],[2,0.4404,-0.4979,"Über einen Algorithmus zur Bestimmung der Raumgruppen",1948,"",2],[2,-0.7351,0.2317,"Über Potenzreihen mit positivem, reellen Teil im Einheitskreis",1911,"",1],[2,0.1246,-0.6933,"Über Sequenzen ganzer Zahlen, von denen keine zu n teilerfremd ist. I–III",1960,"",1],[2,0.1093,-0.7314,"Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse",1859,"",1],[2,0.0392,0.8679,"Ulrich bundles: to be or not to be",2017,"",1],[2,-0.858,0.1008,"Ultradistributions, hyperfunctions and linear differential equations",1973,"",1],[2,-0.691,-0.5111,"Ultraproduits d'espaces de Banach",0,"",1],[2,0.5983,0.5718,"Un champ markovien peut être d'entropie nulle et mélangeant",1978,"",1],[2,-0.149,-0.8552,"Un esempio di -convergenza",1977,"",1],[2,0.7885,-0.1668,"Un invariante afín para los cuerpos convexos del espacio de n dimensiones",1949,"",1],[2,0.2376,-0.6002,"Un lemme de descente",1995,"",2],[2,-0.6088,0.2412,"Un metodo statistico per la determinazione di alcune proprietà dell'atomo",1927,"",2],[2,-0.1732,-0.8293,"Un nuovo tipo di funzionale del calcolo delle variazioni",1988,"",1],[2,0.4624,0.4426,"Un théorème ergodique polynômial ponctuel pour les endomorphismes exacts et les K-systèmes",1996,"",4],[2,-0.2267,0.7903,"Un théorème sur les continus",1918,"",1],[2,0.0098,-0.7481,"Undecidability in number theory",2008,"",1],[2,0.6816,0.4515,"Underdamped Langevin MCMC: A Non-Asymptotic Analysis",2018,"",1],[2,-0.3291,-0.7194,"Une idée du type géodésiques brisées pour les systèmes hamiltoniens",1984,"",1],[2,0.2986,-0.8075,"Une mini introduction à la géométrie analytique rigide",2001,"",1],[2,-0.0246,-0.3285,"Une nouvelle opération sur les formes différentielles",1957,"",5],[2,0.0764,-0.8026,"Une remarque à propos des cycles de Hodge de type CM",1992,"",1],[2,0.3663,0.6757,"Ungelöste Probleme Nr. 40",1961,"",1],[2,-0.8225,-0.1542,"Unicellular shifts on Banach spaces",1982,"",1],[2,0.2379,-0.6157,"Unipotent automorphic representations: conjectures",1989,"",3],[2,-0.1169,0.7652,"Unipotent class functions of split special orthogonal groups (SO_2n^+) over finite fields",1985,"",1],[2,-0.6614,-0.2306,"Uniqueness theorems for certain triangulated categories possessing an Adams spectral sequence",1996,"",1],[2,0.4369,0.6979,"Unit distances in the Euclidean plane",1984,"",1],[2,-0.0142,0.756,"Units in group rings",1940,"",1],[2,0.8086,-0.3164,"Univalent Functions",1983,"",1],[2,0.7618,0.3113,"Universal Sequential Search Problems",1973,"",1],[2,0.486,0.7019,"Un'osservazione sulle k-calotte degli spazi lineari finiti di dimensione tre",1956,"",1],[2,0.3632,0.6464,"Unsolved Problem 5",1969,"",1],[2,-0.1113,-0.044,"Using elliptic curves of rank one towards the undecidability of Hilbert's tenth problem over rings of algebraic integers",2002,"",2],[2,0.8479,0.1306,"Using Hardness vs Randomness to Design Low-Space Algorithms",2026,"",1],[2,0.1155,-0.789,"Uspekhi Mat. Nauk",1958,"",1],[2,-0.4205,-0.6794,"Validated solutions of initial value problems for ordinary differential equations",1999,"",1],[2,0.5038,-0.5849,"Variation of mixed Hodge structure and its applications",2025,"",1],[2,-0.4902,-0.5878,"Variational calculus",2016,"",1],[2,-0.3263,-0.7313,"Variational problems on closed manifolds",1951,"",1],[2,0.3016,-0.8008,"Variétés abéliennes et géométrie rigide",1971,"",1],[2,0.6703,-0.4521,"Variétés algébriques dont le fibré tangent est totalement décomposé",2000,"",1],[2,0.0168,-0.8728,"Variétés de Shimura: interprétation modulaire, et techniques de construction de modèles canoniques",1979,"",1],[2,0.4412,-0.4712,"Variétés polaires. II. Multiplicités polaires, sections planes, et conditions de Whitney",1982,"",4],[2,0.5522,-0.4551,"Varieties of minimal rational tangents on uniruled projective manifolds",1999,"",1],[2,-0.0744,0.1102,"Vector Bundles and K-Theory",2017,"",2],[2,-0.0659,0.0098,"Vector Bundles & K-Theory",2017,"",2],[2,0.3746,-0.6907,"Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum",1975,"",1],[2,0.4744,-0.6992,"Vénéreau-type polynomials as potential counterexamples",2013,"",1],[2,0.735,0.0826,"Vertical perimeter versus horizontal perimeter",2018,"",1],[2,-0.2746,-0.5913,"Virtual neighborhoods and pseudo-holomorphic curves",1999,"",4],[2,-0.5664,-0.6018,"Volume and bounded cohomology",1982,"",1],[2,-0.5554,0.1828,"Von Neumann Algebras",2009,"",4],[2,-0.771,0.0002,"W-stable C^*-algebras",2012,"",1],[2,0.5845,0.5433,"Weak mixing implies weak mixing of higher orders along tempered functions",2008,"",1],[2,0.506,-0.5859,"Weak positivity and the additivity of the Kodaira dimension. II. The local Torelli map",1983,"",1],[2,-0.7909,0.0105,"Weakly purely infinite C^*-algebras with topological dimension zero are purely infinite",2023,"",1],[2,-0.1975,-0.8007,"Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen",1872,"",1],[2,-0.7123,0.437,"When are radicals of Lie groups lattice-hereditary?",2015,"",1],[2,0.7552,0.3326,"When is a graphical sequence stable?",1992,"",1],[2,0.5293,-0.5131,"Whittaker patterns in the geometry of moduli spaces of bundles on curves",2001,"",1],[2,0.4931,0.6812,"Wie der Beweis der Vermutung von Baudet gefunden wurde",1998,"",1],[2,0.1274,-0.844,"Z. Math. Phys",1874,"",1],[2,-0.8177,0.0344,"Z-stability, finite dimensional tracial boundaries and continuous rank functions",2013,"",1],[2,-0.7903,-0.233,"Zagier's conjecture and wedge complexes in algebraic K-theory",1995,"",1],[2,-0.6073,0.4539,"Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov",1981,"",1],[2,0.6331,-0.5479,"Zariski's multiplicity question—a survey",2007,"",1],[2,0.8342,0.2152,"Zeitschrift für Operations Research",1973,"",1],[2,0.2342,0.839,"Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete",1981,"",1],[2,0.5219,-0.7013,"Zero cycles on surfaces with p_g=0",1976,"",1],[2,-0.6513,0.2883,"Zero-energy states in supersymmetric matrix models",2010,"",1],[3,-0.3056,0.567,"A. Abbara"],[3,0.2241,-0.538,"R. Abbott"],[3,-0.3986,-0.591,"U. Abresch"],[3,0.2783,-0.498,"F. Acquistapace"],[3,-0.5694,0.4389,"S. Adian"],[3,0.5248,-0.5428,"R. Aguilar Aguilar"],[3,0.5008,-0.573,"E. Aichinger"],[3,0.4951,-0.5778,"F. Aichinger"],[3,-0.15,0.5748,"W. Ai"],[3,-0.6033,0.4067,"A. Akhmedov"],[3,-0.3867,-0.5559,"A. Aleksandrov"],[3,-0.202,0.6421,"Y. Alekseev"],[3,-0.2984,0.5895,"K. Alexander"],[3,-0.6691,0.2253,"R. Alicki"],[3,0.7448,0.1323,"Y. Alimohammadi"],[3,-0.2424,0.7255,"K. Alishahi"],[3,-0.4599,-0.5027,"J. Almgren"],[3,-0.6604,0.332,"G. Alon"],[3,-0.1029,0.7468,"H. Alpert"],[3,-0.4705,-0.4408,"D. Alspach"],[3,0.5508,0.382,"D. Altman"],[3,0.1188,0.618,"B. Alzaleq"],[3,-0.6382,-0.2344,"S. Amelotte"],[3,0.024,-0.7406,"U. Anandavardhanan"],[3,-0.5095,0.1095,"C. Anantharaman"],[3,0.6533,0.2398,"V. Anantharam"],[3,0.3933,-0.6759,"V. Ancona"],[3,-0.4118,-0.6085,"E. Andersén"],[3,-0.676,-0.0405,"J. Anderson"],[3,0.5868,0.0976,"D. Andersson"],[3,-0.3914,-0.589,"S. Angenent"],[3,0.0753,-0.0891,"D. Anosov"],[3,0.5559,0.3713,"M. Anshelevich"],[3,-0.2832,0.6221,"L. Antoine"],[3,0.7177,-0.261,"N. Antonov"],[3,-0.4082,0.6111,"T. Antunović"],[3,0.2316,-0.7529,"R. Apéry"],[3,0.4922,-0.4549,"T. Arakawa"],[3,0.4192,-0.5962,"E. Arbarello"],[3,-0.5524,0.1929,"S. Aretakis"],[3,-0.6976,0.1832,"A. Arkhipov"],[3,0.6547,0.3818,"J. Armand"],[3,0.7446,0.0934,"A. Arman"],[3,0.5106,0.5176,"M. Arnol'd"],[3,-0.5677,0.2068,"R. Arnowitt"],[3,-0.0386,-0.5856,"D. Aronson"],[3,-0.0456,-0.7285,"G. Aronsson"],[3,0.2039,-0.7469,"R. Arratia"],[3,0.626,0.2944,"D. Arthur"],[3,0.1259,-0.6515,"J. Arthur"],[3,0.1064,-0.729,"E. Artin"],[3,0.4242,-0.5442,"P. Aspinwall"],[3,-0.3082,0.5646,"B. Aubin"],[3,-0.1896,0.569,"E. Avérous"],[3,0.646,0.1092,"A. Avizienis"],[3,0.7374,0.2405,"M. Babaioff"],[3,-0.7109,0.1847,"S. Bachmann"],[3,0.588,0.4884,"S. Baker"],[3,-0.6632,-0.2811,"W. Balderrama"],[3,0.4327,-0.5526,"M. Ballard"],[3,-0.4556,-0.3644,"T. Banakh"],[3,-0.6907,0.2061,"S. Bandyopadhyay"],[3,0.1185,0.6971,"A. Baniabedalruhman"],[3,0.2097,-0.635,"D. Bar-Natan"],[3,-0.6572,-0.2218,"S. Barkan"],[3,0.4303,0.63,"A. Barlotti"],[3,-0.6797,-0.3844,"M. Barr"],[3,0.0493,0.0038,"P. Bartlett"],[3,-0.2616,0.722,"M. Barzegar"],[3,-0.1301,0.6908,"A. Basile"],[3,0.6562,0.4235,"R. Bassily"],[3,0.3776,-0.6582,"T. Bauer"],[3,0.5093,0.4342,"N. Bautin"],[3,0.681,0.3415,"C. Bayer"],[3,0.1561,-0.7228,"D. Bazzanella"],[3,0.1982,0.653,"W. Bednorz"],[3,0.7008,0.1614,"R. Bellman"],[3,0.6949,-0.3491,"D. Beltran"],[3,-0.2761,0.7236,"S. Benoist"],[3,-0.3237,0.6389,"A. Bereyhi"],[3,-0.1731,0.5527,"V. Berezinskii"],[3,0.411,-0.482,"H. Bergner"],[3,-0.6951,0.2427,"A. Bernal"],[3,0.3859,0.2814,"S. Bernstein"],[3,0.5543,0.1071,"D. Bertsekas"],[3,0.44,-0.6368,"Bert"],[3,0.6967,0.1371,"M. Berz"],[3,-0.2927,0.6997,"A. Beurling"],[3,0.5283,0.3323,"C. Bhargav"],[3,-0.6752,-0.1794,"P. Bhattacharya"],[3,-0.2202,0.3768,"B. Bhatt"],[3,0.0918,-0.7158,"G. Bhowmik"],[3,0.0365,-0.6647,"L. Bianchi"],[3,0.5597,-0.4463,"F. Bien"],[3,0.0333,-0.6999,"N. Billerey"],[3,0.0065,-0.5957,"B. Birch"],[3,0.6406,0.1657,"Y. Birk"],[3,-0.6834,0.2763,"E. Bisi"],[3,0.1181,0.7239,"E. Blais"],[3,0.418,-0.4998,"A. Blanchard"],[3,0.2804,0.6468,"J. Blažek"],[3,0.4895,0.4481,"K. Bloor"],[3,-0.6202,0.1691,"P. Bochev"],[3,-0.5528,0.2255,"N. Bogoliubov"],[3,-0.549,0.2234,"N. Bogolubov"],[3,-0.5743,0.1909,"M. Bogovskiĭ"],[3,-0.1196,-0.5838,"B. Bojarski"],[3,-0.1772,-0.7227,"L. Boltzmann"],[3,-0.3731,-0.5135,"G. Bol"],[3,-0.5524,0.3852,"A. 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Girvin"],[3,-0.3654,-0.4665,"Qin Deng"],[3,0.3038,-0.5327,"A. Ramanathan"],[3,0.4011,-0.4743,"Heisuke Hironaka"],[3,-0.3361,-0.7135,"Vincent Humilière"],[3,0.3736,0.6924,"Tilmann Gneiting"],[3,0.2064,-0.5456,"Jérôme Poineau"],[3,-0.0557,0.6146,"Chris Bowman"],[3,-0.2038,0.6578,"Nicolas Victoir"],[3,-0.7245,0.0917,"Bin Gui"],[3,0.3801,-0.5681,"Stéphane Vénéreau"],[3,-0.2758,-0.6492,"Marco Mazzucchelli"],[3,0.5394,-0.5082,"Andrey Todorov"],[3,0.3964,-0.6384,"Rachel Webb"],[3,0.5056,0.5452,"Roberto Artuso"],[3,-0.4999,0.3535,"Ruth Stella Huerfano"],[3,-0.59,0.208,"Steven R. White"],[3,0.704,0.2603,"Michel Petitot"],[3,-0.6966,-0.0789,"Charles A. Akemann"],[3,-0.6587,0.1255,"Gregory Rosenthal"],[3,0.3044,0.5155,"Zi-Xia Song"],[3,-0.2359,-0.5265,"Kenji Fukaya"],[3,-0.0418,-0.7149,"Yi Ru‐Ya Zhang"],[3,0.1088,-0.3127,"Nigel Hitchin"],[3,-0.6778,-0.2482,"Hana Jia Kong"],[3,0.2197,0.6904,"Peter Abramenko"],[3,-0.535,-0.4209,"Robert C. James"],[3,0.1138,-0.6458,"E.E. 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M. Aronow"],[3,-0.4175,0.4706,"Ahmed El Alaoui"],[3,-0.1172,-0.6785,"Han Hong"],[3,-0.3294,-0.6444,"Ziyi Zhou"],[3,-0.4708,-0.5421,"Aditya Kumar"],[3,0.1651,0.7044,"Steve Boucher"],[3,0.5713,-0.1262,"Yuanyuan Li"],[3,0.5507,0.0125,"Alexia Yavicoli"],[3,0.2097,-0.6887,"Zhi-Wei Sun"],[3,0.0892,-0.6855,"Rick F. Lu"],[3,-0.2215,0.7347,"Tomás Alcalde López"],[3,0.6317,0.0591,"Neng Huang"],[3,-0.2134,0.7058,"Lorca Heeney"],[3,-0.6111,0.489,"Christopher-Lloyd Simon"],[3,0.6113,0.3434,"Kehinde Adeogun"],[3,0.5014,-0.5616,"Rei Murakami"],[3,0.5379,-0.2463,"Jiheng Tan"],[3,-0.0947,0.6798,"Zhicheng Feng"],[3,-0.0881,0.6543,"J. Miquel Martínez"],[3,0.4532,-0.6305,"Martin Möller"],[3,-0.6202,0.2449,"Jingyin Huang"],[3,0.7163,-0.0686,"Luca Iffland"],[3,0.5266,-0.3798,"Shivang Jindal"],[3,0.7608,0.1427,"Robert Andrews"],[3,-0.0728,-0.7118,"Zhuo-Nan Zhu"],[3,0.6346,0.2732,"Qian Qin"],[3,0.4996,-0.5318,"Yun-Heng Du"],[3,-0.1407,-0.5708,"Zhifei Zhang"],[3,0.3281,-0.561,"Zhengyu Hu"],[3,0.726,-0.1446,"John Burke"],[3,0.3126,-0.5626,"Pisya Vikash"],[3,0.1337,-0.7503,"Junzhe Mao"],[3,0.6376,0.3941,"Eric Xue"],[3,0.6413,0.3931,"Chenghan Zhou"],[3,0.2722,0.5105,"Nagendar Reddy Ponagandla"],[3,-0.1236,-0.5679,"Tomáš Vítek"],[3,-0.3063,0.5117,"Almut Rödder"],[3,-0.0554,-0.727,"F. -U. Caja-Lopez"],[3,-0.3036,-0.6567,"Michael J. 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