Milne's rationality conjecture for abelian varieties
Milne’s rationality conjecture and algebraic specialization
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643 matching manuscripts · Page 1 of 13
Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank
The full BSD formula from low Selmer corank
Linked to curated recordThe Selmer converse for elliptic curves at every prime
The full BSD formula from low Selmer corank
Not in curated recordThe two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one
The full BSD formula from low Selmer corank
Not in curated recordThe Quasi-Riemann Hypothesis (alternate 11/12 proof)
The quasi-Riemann hypothesis
Not in curated recordThe Quasi-Riemann Hypothesis: A Zero-Free Half-Plane \Re s\gt 7/8
The quasi-Riemann hypothesis
Linked to curated recordUniform exclusion of Landau–Siegel zeros
The quasi-Riemann hypothesis
Not in curated recordA pointwise 2-converse for elliptic curves with rational two-torsion
Hilbert’s tenth problem over ℚ
Not in curated recordHilbert’s tenth problem over the rational numbers
Hilbert’s tenth problem over ℚ
Linked to curated recordCatalan's constant is irrational
Irrationality of Catalan’s constant
Linked to curated recordGoldfeld's analytic density conjecture and the 2-converse for elliptic curves
Goldfeld’s conjecture: densities and mean analytic rank
Linked to curated recordThe mean analytic rank of quadratic twists of elliptic curves
Goldfeld’s conjecture: densities and mean analytic rank
Not in curated recordOrdinary two-point correlations of multiplicative functions
Ordinary two-point correlations and the corrected Elliott conjecture
Linked to curated recordThe Deligne-Drinfeld conjecture
The Deligne–Drinfeld conjecture
Linked to curated recordReconstruction from Milnor K-theory modulo the characteristic
Function-field reconstruction from Milnor K-theory and Galois data
Not in curated recordReconstruction of Function Fields from Mod-ℓ Milnor K-Theory
Function-field reconstruction from Milnor K-theory and Galois data
Not in curated recordThe Bogomolov-Pop reconstruction theorem
Function-field reconstruction from Milnor K-theory and Galois data
Not in curated recordFontaine–Mazur modularity at the prime 2
Unrestricted pro-modularity at the prime two
Not in curated recordThe Dimension of the Two-Adic Hecke Algebra at Odd Level
Unrestricted pro-modularity at the prime two
Not in curated recordUnrestricted pro-modularity at the prime two
Unrestricted pro-modularity at the prime two
Not in curated recordPrime Predecessors with an Even Number of Prime Factors
Prime-factor statistics of p-1
Not in curated recordThe Poisson-Dirichlet law for prime predecessors
Prime-factor statistics of p-1
Not in curated recordWeighted dilation graphs, smooth shifted primes and totient fibers
Prime-factor statistics of p-1
Not in curated recordThe joint Dickman law for consecutive integers
Independent largest prime factors of consecutive integers
Not in curated recordThe additive indecomposability of the primes
Ostmann’s inverse Goldbach conjecture
Linked to curated recordConstructible tame Hecke eigensheaves in positive characteristic
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordFrobenius Structures on Tame Hecke Eigensheaves
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordGlobal Arthur Enhancements of Cuspidal Excursion Parameters
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordRamanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordRationality of the Canonical Unramified Arthur Filtration
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordTame Hecke Eigensheaves with Several Marked Points
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordTemperedness at ramified places for globally generic exceptional groups
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordThe Restricted Geometric Langlands Equivalence in Positive Characteristic
Restricted geometric Langlands, global Arthur enhancements, and generic Ramanujan
Not in curated recordEquidistribution of Prime-Degree Torus Packets with Arbitrary Local Type
Torus-packet equidistribution in prime, quartic, and sextic degrees
Not in curated recordEquidistribution of Primitive Sextic Torus Packets
Torus-packet equidistribution in prime, quartic, and sextic degrees
Not in curated recordEquidistribution of primitive quartic torus packets for arbitrary orders
Torus-packet equidistribution in prime, quartic, and sextic degrees
Not in curated recordElliptic squares and Zilber–Pink for curves in A2
Zilber–Pink in abelian varieties and the Siegel threefold
Not in curated recordQuaternionic division points on curves in the Siegel threefold
Zilber–Pink in abelian varieties and the Siegel threefold
Not in curated recordThe E×CM component of Zilber–Pink for curves in A2
Zilber–Pink in abelian varieties and the Siegel threefold
Not in curated recordThe abelian Zilber–Pink conjecture
Zilber–Pink in abelian varieties and the Siegel threefold
Not in curated recordThe irrationality exponent of pi is 2
The irrationality exponent of π is 2
Linked to curated recordThe Margulis–Platonov conjecture over global function fields
The Margulis–Platonov conjecture over global fields
Not in curated recordThe Margulis–Platonov conjecture over number fields
The Margulis–Platonov conjecture over global fields
Not in curated recordThe p-adic section conjecture
The local p-adic section conjecture and global consequences
Not in curated recordÉtale covers with a prescribed exterior sheet
The local p-adic section conjecture and global consequences
Not in curated recordSquarefree values of quartics and power-free values of polynomials
Squarefree quartics and power-free polynomial values
Not in curated recordA quadratic bound for Jacobsthal's function
A quadratic bound for Jacobsthal’s function
Linked to curated recordThe Weak Inhomogeneous Duffin–Schaeffer Conjecture
The weak inhomogeneous Duffin–Schaeffer conjecture
Linked to curated recordAn unconditional first moment for cubic Gauss sums
Patterson's first moment for cubic Gauss sums
Not in curated recordAn asymptotic formula for the number of totients
An asymptotic formula for the number of totients
Not in curated recordShort Egyptian fractions
Short Egyptian fractions
Linked to curated recordPositive lower density of large prime gaps
Positive lower density of large prime gaps
Not in curated recordIntegral points on character varieties of curves
Potential integral density on curve character varieties
Not in curated recordBounded-Step Walks on Gaussian Primes
Uniformly bounded components of Gaussian-prime graphs
Linked to curated recordPrimitive roots for every admissible integer base
Primitive roots for every admissible integer base
Linked to curated recordSimultaneous primitive roots: a conditional lower bound for prime bases
Primitive roots for every admissible integer base
Not in curated recordModularity of elliptic curves over imaginary quadratic fields
Modularity of elliptic curves over imaginary quadratic fields
Linked to curated recordOpen Homomorphisms of Global Solvably Closed Galois Groups
Uchida’s conjecture for open homomorphisms of Galois groups
Not in curated recordA Conditional Reduction for Algebraic Kuga–Satake Correspondences
The rational Hodge conjecture for CM abelian varieties
Not in curated recordAbelian covers, Gale correspondences, and the Hodge conjecture for powers
The rational Hodge conjecture for CM abelian varieties
Not in curated recordAlgebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus
The rational Hodge conjecture for CM abelian varieties
Not in curated recordThe rational Hodge conjecture for CM abelian varieties
The rational Hodge conjecture for CM abelian varieties
Linked to curated recordWeil classes and Hodge classes on abelian powers
The rational Hodge conjecture for CM abelian varieties
Not in curated recordB-semiampleness for compact log-smooth Kähler fibrations
Iitaka subadditivity, variation, and logarithmic additivity
Not in curated recordLogarithmic Kodaira dimension and whole-fiber variation
Iitaka subadditivity, variation, and logarithmic additivity
Not in curated recordOrbifold and logarithmic Iitaka subadditivity
Iitaka subadditivity, variation, and logarithmic additivity
Not in curated recordProjective Hodge lines and ordinary Iitaka subadditivity
Iitaka subadditivity, variation, and logarithmic additivity
Not in curated recordThe reverse logarithmic Kodaira inequality and additivity
Iitaka subadditivity, variation, and logarithmic additivity
Not in curated recordAbundance after nonvanishing for compact Kähler fourfolds
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordArithmetic Stein-degree bounds for log Calabi–Yau pairs
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordConditional good minimal models for compact Kähler fourfolds
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordFourfold nonvanishing by minimal metrics and moving jets
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordLifting sections from the reduced support of an adjoint
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordLog abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordLog abundance in characteristic zero
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordMinimal metrics and interior injectivity for nef adjoints
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordRelative denominators and effective systems for log Calabi-Yau fibrations
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordSchnell fiber spaces and good canonical models
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordUniform Pluricanonical Iitaka Fibrations
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordUniform effective log Iitaka fibrations for fourfolds
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordUniform indices for semi-log-canonical log Calabi–Yau pairs
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordUniform log Iitaka fibrations and bounded moduli denominators
Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
Not in curated recordAbundance in numerical dimension one for terminal threefolds in positive characteristic
Log-canonical threefold abundance in numerical dimension one
Not in curated recordLog abundance in numerical dimension one for threefolds in positive characteristic
Log-canonical threefold abundance in numerical dimension one
Not in curated recordMinimal models and Mori fibre spaces for generalized log canonical Q-pairs
Numerical semiampleness and generalized minimal models
Not in curated recordMinimal models in numerical dimension one
Numerical semiampleness and generalized minimal models
Not in curated recordNumerical Semiampleness of Nef Adjoint Divisors
Numerical semiampleness and generalized minimal models
Not in curated recordNumerical semiampleness of nef adjoint classes on compact Kähler manifolds
Numerical semiampleness and generalized minimal models
Not in curated recordThe normalized-volume gap in dimension four
The ordinary-double-point volume gap
Not in curated recordThe ordinary-double-point gap in every dimension
The ordinary-double-point volume gap
Not in curated recordFujita's freeness conjecture
Fujita’s freeness conjecture
Linked to curated recordMaximal Multipoint Seshadri Constants in Higher Dimensions
Nagata’s conjecture and maximal Seshadri constants
Not in curated recordMaximal Seshadri constants on arbitrary polarized surfaces
Nagata’s conjecture and maximal Seshadri constants
Not in curated recordMaximal multipoint Seshadri constants in positive characteristic
Nagata’s conjecture and maximal Seshadri constants
Not in curated recordNagata's conjecture for plane curves
Nagata’s conjecture and maximal Seshadri constants
Linked to curated recordBloch’s conjecture for surfaces with p_g=0
Bloch’s conjecture for complex surfaces
Not in curated recordProjective-space bases of Lagrangian fibrations
Hyperkähler SYZ and projective-space bases
Not in curated recordThe strong hyperkähler SYZ conjecture
Hyperkähler SYZ and projective-space bases
Not in curated recordEvery complex K3 surface is Oka
Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII
Not in curated recordP=W in composite rank for fixed determinant
P = W for fixed-determinant SLn moduli spaces
Not in curated recordThe equivariant cohomological Hikita conjecture for arbitrary quivers
The equivariant cohomological Hikita conjecture
Not in curated recordA projective fourfold with large fundamental group and non-Stein universal cover
Shafarevich counterexamples in dimension two and with large fundamental group
Not in curated recordA surface counterexample to Shafarevich holomorphic convexity
Shafarevich counterexamples in dimension two and with large fundamental group
Not in curated recordAn explicit failure of complex affine-space cancellation
Zariski cancellation and affine fibrations over the complex numbers
Not in curated recordA singular normal affine surface with free tangent sheaf
A characteristic-zero counterexample to Lipman–Zariski
Not in curated recordA stable coordinate that is not a coordinate in four variables
A stable-coordinate counterexample in four variables
Not in curated recordAn explicit noncoordinate polynomial with affine three-space zero fibre
A stable-coordinate counterexample in four variables
Not in curated recordAmple rank-two bundles on the quadric surface without Griffiths-positive metrics
A counterexample to Griffiths’ positivity conjecture
Not in curated recordCanonical ampleness of compact hyperbolic Kähler manifolds
Kobayashi’s canonical-ampleness conjecture
Not in curated recordIntegrability of split tangent bundles on rationally connected manifolds
Tangent splittings and product decompositions
Not in curated recordUniversal-cover splitting for compact Kähler manifolds
Tangent splittings and product decompositions
Not in curated recordA high-arity counterexample to Pixton completeness in Chow
A counterexample to Pixton completeness in Chow
Not in curated recordIrrational cubic fourfolds with geometric K3 categories
Irrational cubic fourfolds with Hodge-theoretic and categorical K3 associations
Not in curated recordA Gepner stability condition on every smooth quintic threefold
Gepner symmetry and large-volume stability on threefolds
Not in curated recordPrescribed large-volume charges on threefolds with trivial canonical bundle
Gepner symmetry and large-volume stability on threefolds
Not in curated recordFinite ordinary minimal model programs on compact Kähler fourfolds
Termination of projective and Kähler fourfold minimal model programs
Not in curated recordFinite ordinary minimal model programs on compact Kähler fourfolds
Termination of projective and Kähler fourfold minimal model programs
Not in curated recordTermination for projective log canonical fourfolds with rational boundary
Termination of projective and Kähler fourfold minimal model programs
Not in curated recordTermination of generalized log canonical flips on compact Kähler fourfolds
Termination of projective and Kähler fourfold minimal model programs
Not in curated recordTermination of generalized-canonical flips on compact Kähler fourfolds
Termination of projective and Kähler fourfold minimal model programs
Not in curated recordA conditional abelianity theorem for special fourfold pairs with a half-weight divisor
Fundamental groups of special complex varieties and root orbifolds
Not in curated recordThe abelianity conjecture for special compact Kähler manifolds
Fundamental groups of special complex varieties and root orbifolds
Not in curated recordTwo-step monodromy of special quasi-projective varieties
Fundamental groups of special complex varieties and root orbifolds
Not in curated recordSemialgebraic universal covers of normal projective varieties
Semialgebraic universal covers and bounded domains
Not in curated recordSymmetry of semialgebraic bounded domains with compact quotient
Semialgebraic universal covers and bounded domains
Not in curated recordAmbiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five
Counterexamples to Zariski’s multiplicity conjecture
Not in curated recordAmbiently homeomorphic isolated hypersurfaces of multiplicities two and three
Counterexamples to Zariski’s multiplicity conjecture
Not in curated recordGlobal Spherical Shells on Minimal Surfaces of Class VII
The Global Spherical Shell conjecture
Not in curated recordContact Fano manifolds and the LeBrun–Salamon conjecture
Projective contact classification and the LeBrun–Salamon conjecture
Not in curated recordThe generalized Mukai conjecture
The generalized Mukai conjecture
Not in curated recordTopological triviality of mu-constant families of surface singularities
Topological triviality of μ-constant surface singularities
Not in curated recordVirasoro Constraints for Projective Complete Intersections
Virasoro constraints for complete intersections and projective-bundle towers
Not in curated recordVirasoro Constraints under Projectivization
Virasoro constraints for complete intersections and projective-bundle towers
Not in curated recordBounded klt complements for Fano contractions
Bounded klt complements for Fano contractions
Not in curated recordUniform Cartier sections for Fano type contractions
Bounded klt complements for Fano contractions
Not in curated recordThe Campana–Peternell conjecture in dimension six
The Campana–Peternell conjecture in dimension six
Not in curated recordAnticanonical nonvanishing from smooth semipositivity
Anticanonical nonvanishing in every dimension
Not in curated recordBounded anticanonical metrics on klt pairs and torus quotients
Anticanonical nonvanishing in every dimension
Not in curated recordCohomological transfer and equivariant anticanonical sections
Anticanonical nonvanishing in every dimension
Not in curated recordExact orders and invariant anticanonical linear systems
Anticanonical nonvanishing in every dimension
Not in curated recordIntegrable metrics and effectivity with controlled boundary
Anticanonical nonvanishing in every dimension
Not in curated recordInvariant anticanonical indices and conversion of twisted differentials
Anticanonical nonvanishing in every dimension
Not in curated recordMetric descent and rank-preserving contractions
Anticanonical nonvanishing in every dimension
Not in curated recordGlobal quantum geometric Langlands at irrational level
Global quantum geometric Langlands at irrational level
Not in curated recordKoebe's Circle-Domain Conjecture
Koebe’s circle-domain conjecture
Linked to curated recordRemovable Boundaries and Rigidity of Circle Domains
Koebe’s circle-domain conjecture
Not in curated recordA strict inverse-first-power bound for univalent functions
Brennan's conjecture and the integral-means spectrum
Not in curated recordBrennan's conjecture and sharp inverse-square integral means
Brennan's conjecture and the integral-means spectrum
Linked to curated recordThe Falconer distance conjecture in all dimensions
The Falconer distance conjecture
Linked to curated recordEvery four-dimensional Kakeya set has full Hausdorff dimension
Kakeya in three and four dimensions
Not in curated recordThe Kakeya maximal conjecture in three dimensions
Kakeya in three and four dimensions
Linked to curated recordAlmost-everywhere Fourier convergence in L log L
The L\log L Fourier-convergence conjecture
Not in curated recordAsymptotically minimal maxima of real Littlewood polynomials
Real ultraflat Littlewood polynomials and unbounded binary merit factors
Not in curated recordNearly minimal maxima and positive minima of Littlewood polynomials
Real ultraflat Littlewood polynomials and unbounded binary merit factors
Not in curated recordUltraflat real Littlewood polynomials
Real ultraflat Littlewood polynomials and unbounded binary merit factors
Not in curated recordDiagonal Fourier extension for positively curved surfaces in three dimensions
Fourier restriction for positively curved surfaces
Not in curated recordElliptic capacity propagation and Fourier restriction to the sphere
Fourier restriction for positively curved surfaces
Not in curated recordBochner–Riesz multipliers in three dimensions
The three-dimensional Bochner–Riesz conjecture
Not in curated recordCritical local smoothing for the three-dimensional wave equation
Local smoothing in three dimensions
Not in curated recordEndpoint convergence for the planar Schrodinger equation
The exact Sobolev endpoint for Schrödinger convergence
Not in curated recordEndpoint pointwise convergence for the Schrodinger equation in higher dimensions
The exact Sobolev endpoint for Schrödinger convergence
Not in curated recordRiesz transforms and uniform rectifiability in higher codimension
Riesz transforms and rectifiability in higher codimension
Not in curated recordAn L³ bound for the dyadic triangular Hilbert form
Annular variation and dyadic absolute bounds for the triangular Hilbert transform
Not in curated recordAnnular variation of the triangular Hilbert transform at the symmetric point
Annular variation and dyadic absolute bounds for the triangular Hilbert transform
Not in curated recordThe maximal triangular Hilbert transform at the symmetric point
Annular variation and dyadic absolute bounds for the triangular Hilbert transform
Not in curated recordA uniform Hilbert transform estimate for Lipschitz directions
Hilbert transforms along Lipschitz directions
Not in curated recordThe dyadic case of the Erdős similarity conjecture
The geometric case of the Erdős similarity conjecture
Not in curated recordThe geometric case of the Erdős similarity conjecture
The geometric case of the Erdős similarity conjecture
Not in curated recordAn Endpoint Gradient Bound for the Centered Disk Maximal Operator
Endpoint Sobolev regularity of centered disk averages
Not in curated recordAn L3 bound for the trilinear Hilbert transform
An L3 bound for the trilinear Hilbert transform
Not in curated recordSymplectic Balls in Symmetric Polar Products
The Mahler conjectures, functional inequalities and polar-product symplectic width
Not in curated recordThe Mahler Conjecture for General Convex Bodies
The Mahler conjectures, functional inequalities and polar-product symplectic width
Linked to curated recordThe symmetric Mahler conjecture and its equality cases
The Mahler conjectures, functional inequalities and polar-product symplectic width
Linked to curated recordA product counterexample to the simplex maximum for projection-body volume
Sharp projection-body inequalities and a counterexample to simplex maximization
Not in curated recordPetty’s projection-volume conjecture in dimensions at least four
Sharp projection-body inequalities and a counterexample to simplex maximization
Not in curated recordL1 Embeddings of Graphs of Bounded Treewidth
Bounded-distortion L1 embeddings of planar and bounded-treewidth graphs
Not in curated recordPlanar Graph Metrics Embed into L1 with Constant Distortion
Bounded-distortion L1 embeddings of planar and bounded-treewidth graphs
Linked to curated recordA sharp Fourier certificate for planar circle packing
Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy
Not in curated recordAn atomic certificate for triangular-lattice universal optimality
Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy
Not in curated recordTriangular minimality for planar Coulomb renormalized energy
Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy
Not in curated recordUniversal optimality of the triangular lattice
Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energy
Not in curated recordThe logarithmic Brunn–Minkowski conjecture
Logarithmic and Lp Brunn–Minkowski inequalities and the B-conjecture
Not in curated recordA single-lattice covering bound of order n log n
The optimal order of convex-body covering density
Linked to curated recordTranslative covering densities of order n log n
The optimal order of convex-body covering density
Not in curated recordA dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures
Dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures
Not in curated recordSubpolynomial dimension reduction in Lp
Subpolynomial dimension reduction in Lp
Not in curated recordA nonspectrahedral hyperbolicity cone
Hyperbolicity cones without semidefinite lifts
Not in curated recordAn Exact Semidefinite Lift of a Nonspectrahedral Hyperbolicity Cone
Hyperbolicity cones without semidefinite lifts
Not in curated recordHyperbolicity Cones Without Semidefinite Lifts
Hyperbolicity cones without semidefinite lifts
Not in curated recordThe Gaussian propeller bound in every dimension
The Gaussian propeller conjecture in every dimension
Linked to curated recordThe Euclidean Steinitz–Bergström theorem
The Euclidean Steinitz–Bergström bound
Not in curated recordA doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding
Compact counterexamples to bi-Lipschitz dimension reduction
Not in curated recordEdit Distance in l1: Matching Bounds up to Constants in the Exponent
The sharp exponential scale of edit-distance distortion
Linked to curated recordFinite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance
The sharp exponential scale of edit-distance distortion
Not in curated recordTree Constructions for the l1 Distortion of Binary Edit Distance
The sharp exponential scale of edit-distance distortion
Not in curated recordFinite angular cylinder covers below the half-area bound
Cylinder coverings below the half-area bound
Not in curated recordFinite cylinder approximation of ruled sets
Cylinder coverings below the half-area bound
Not in curated recordFinite triangular approximation of radial sweeps
Cylinder coverings below the half-area bound
Not in curated recordSlope-field perturbations of the two-cylinder covering
Cylinder coverings below the half-area bound
Not in curated recordA sharp entropy bound and the simplex inequality for isotropic constants
The sharp simplex conjecture for isotropic constants
Not in curated recordA Direct Proof of Optimal Max-Cut Hardness
The Unique Games Conjecture and optimal approximation thresholds
Not in curated recordConstant-factor hardness of Min-UnCut
The Unique Games Conjecture and optimal approximation thresholds
Not in curated recordConstant-factor hardness of directed feedback vertex set
The Unique Games Conjecture and optimal approximation thresholds
Not in curated recordThe Factor-Two Hardness Threshold for Vertex Cover
The Unique Games Conjecture and optimal approximation thresholds
Not in curated recordThe Unique Games Theorem
The Unique Games Conjecture and optimal approximation thresholds
Linked to curated recordExact derandomization of logarithmic space: L = RL = BPL
Exact derandomization of logarithmic space: \mathsf L=\mathsf{RL}=\mathsf{BPL}
Linked to curated recordDeterministic quasipolynomial-time mean-payoff games
Quasipolynomial algorithms for mean-payoff, stochastic and parity games
Not in curated recordMean-payoff parity games in quasipolynomial time
Quasipolynomial algorithms for mean-payoff, stochastic and parity games
Not in curated recordRandomized quasipolynomial-time mean-payoff games
Quasipolynomial algorithms for mean-payoff, stochastic and parity games
Not in curated recordTurn-Based Stochastic Mean-Payoff Games in Deterministic Quasipolynomial Time
Quasipolynomial algorithms for mean-payoff, stochastic and parity games
Linked to curated recordPerfect completeness for 2-to-1 games
Perfect completeness for 2-to-1 games
Not in curated recordHardness of finding large independent sets in three-colorable graphs
Hardness of coloring three-colorable graphs
Not in curated recordAn Upper Bound of 9/4 for the Matrix Multiplication Exponent
Matrix multiplication with exponent at most 9/4
Linked to curated recordComplex Matrix Multiplication Below 2.258 and Rectangular Bounds
Matrix multiplication with exponent at most 9/4
Not in curated recordStaggered extraction for exact matrix multiplication over every field
Matrix multiplication with exponent at most 9/4
Not in curated recordA cubic lower bound for border determinantal complexity of the permanent
A cubic permanent–determinant lower bound
Not in curated recordInteger multiplication below n log n
Integer multiplication below n\log n
Linked to curated recordSquared-logarithmic randomized k-server on arbitrary metrics
Optimal-order randomized k-server on arbitrary metrics
Linked to curated recordUniform computation of the squared-logarithmic k-server bound
Optimal-order randomized k-server on arbitrary metrics
Not in curated recordOne Sample Suffices for Matroid Prophet Inequalities against an Almighty Adversary
One-sample matroid prophet inequalities against an almighty adversary
Not in curated recordBeyond the Square-Root Exponent for Depth-Three Boolean Circuits
Beyond the square-root exponent for depth-three circuits
Not in curated recordA Fully Polynomial Randomized Approximation Scheme for Perfect Matchings in General Graphs
Approximate counting and entropy of perfect matchings
Not in curated recordEntropy and Face Dimension of the Perfect-Matching Polytope
Approximate counting and entropy of perfect matchings
Not in curated recordAn FPRAS for Common Integer Polymatroid Bases with Binary Capacities
Approximate counting of common integer polymatroid bases
Not in curated recordApproximate counting of common bases of two matroids
Approximate counting of common integer polymatroid bases
Not in curated recordAn FPRAS for Cell-Bounded Contingency Tables
Sampling and counting contingency tables with arbitrary margins
Not in curated recordExact Uniform Sampling of Contingency Tables with Arbitrary Margins
Sampling and counting contingency tables with arbitrary margins
Not in curated recordOne Rational Matrix Hitting Point for Noncommutative Formulas
Uniform black-box noncommutative identity testing across characteristics
Not in curated recordPolynomial Hitting Lists for Noncommutative Rational Formulas
Uniform black-box noncommutative identity testing across characteristics
Not in curated recordUniform Matrix Hitting Points in Every Positive Characteristic
Uniform black-box noncommutative identity testing across characteristics
Not in curated recordConstant-factor hardness of uniform sparsest cut
Uniform sparsest cut: hardness and semidefinite gaps
Not in curated recordNear-square-root logarithmic integrality gaps for uniform sparsest cut
Uniform sparsest cut: hardness and semidefinite gaps
Not in curated recordAdditive hardness and unbounded configuration gaps in bin packing
Bin packing and unbounded configuration-LP gaps
Linked to curated recordHellinger contraction with arbitrary Boolean output bias
The Courtade–Kumar and Hellinger conjectures
Not in curated recordSharp binary-information contraction on the discrete cube
The Courtade–Kumar and Hellinger conjectures
Not in curated recordAlmost-Linear-Time Maximum-Cardinality Matching in General Graphs
Almost-linear-time exact matching and prescribed-degree factors in general graphs
Linked to curated recordAn Almost-Linear Approximation Scheme for Edit Distance
Almost-linear approximation of edit distance
Linked to curated recordA latest-anchor induction with spectrally compact masks for worst-case trace reconstruction
Quantitative trace-reconstruction bounds with a uniform decoder
Not in curated recordQuantitative lower bounds for trace reconstruction
Quantitative trace-reconstruction bounds with a uniform decoder
Not in curated recordUniform quasipolynomial-time trace reconstruction
Quantitative trace-reconstruction bounds with a uniform decoder
Not in curated recordA Polynomial-Time Algorithm for Three-Machine Unit-Job Scheduling
Polynomial-time scheduling on three identical machines
Not in curated recordSingle-exponential recovery and bounded-price strictness for metric k-median
The metric k-median approximation threshold and recovery
Not in curated recordThe approximation threshold for metric k-median
The metric k-median approximation threshold and recovery
Not in curated recordExponential PSD rank of positively shifted matching matrices
Exponential semidefinite complexity of perfect matching
Not in curated recordAverage sensitivity of polynomial threshold functions
Average sensitivity of polynomial threshold functions
Not in curated recordA Polynomial-Time 2-Approximation for Shortest Common Superstring
A factor-two approximation for shortest common superstring
Linked to curated recordAn exponential state lower bound for two-way nondeterministic complementation
Exponential state costs for two-way automata
Not in curated recordAn exponential two-way deterministic state lower bound for one-way liveness
Exponential state costs for two-way automata
Not in curated recordAn explicit power saving for the exact discrete Fourier transform
Exact Fourier transforms below n\log n
Linked to curated recordFinite tensor savings and exact Fourier circuits
Exact Fourier transforms below n\log n
Not in curated recordPolynomial mixing of the switch chain for every graphical degree sequence
Rapid mixing of graph switches for every degree sequence
Not in curated recordA superquadratic separation between sensitivity and block sensitivity
A superquadratic separation of sensitivity and block sensitivity
Not in curated recordParity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence
The computational complexity of Weisfeiler–Leman refinement
Not in curated recordThe complexity of identifying a graph by Weisfeiler–Leman refinement
The computational complexity of Weisfeiler–Leman refinement
Not in curated recordUnconditional time lower bounds for Weisfeiler–Leman equivalence
The computational complexity of Weisfeiler–Leman refinement
Not in curated recordVariable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs
The computational complexity of Weisfeiler–Leman refinement
Not in curated recordFinite Monoid Computations and a Uniform Generalized Star-Height Bound
Generalized star height at most three
Not in curated recordGeneralized Star Height at Most Four
Generalized star height at most three
Not in curated recordGeneralized Star Height at Most Three
Generalized star height at most three
Not in curated recordHomogeneous depth-five lower bounds for iterated matrix multiplication
Homogeneous depth-five lower bounds for iterated matrix multiplication
Not in curated recordThe PCP-for-PPAD conjecture: a quasilinear reduction
A quasilinear PCP theorem for PPAD
Not in curated recordSimulating One-Tape Time in Two-Fifths-Power Space
One-tape time simulation in two-fifths-power space
Not in curated recordA Low-Space Algorithm for Worst-Case Subset Sum
Subset Sum in O(2^{0.49n}) time
Not in curated recordSubset Sum in Time O(2^{0.49n})
Subset Sum in O(2^{0.49n}) time
Linked to curated recordSubpolynomial query complexity for well-conditioned log-concave sampling
Subpolynomial query complexity for log-concave sampling
Not in curated recordLocalization costs and information growth for exact Gaussian observations
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordMemory and precision in noiseless Gaussian regression
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordPosterior replicas and conditional information in Gaussian regression
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordProjection moments, positive cap domination, and Riesz estimates on the sphere
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordReplacing Gaussian observations in memory-constrained inference
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordSubsphere methods for memory-sample lower bounds in noiseless Gaussian regression
Memory–sample lower bounds for noiseless Gaussian regression
Not in curated recordExistential–universal real sentences in the counting hierarchy
Existential–universal real sentences in the counting hierarchy
Not in curated recordDeterministic Polynomial Factorization over Prime Fields
Deterministic polynomial factorization over prime fields
Linked to curated recordTwo limit cycles for quintic Liénard systems
Hilbert's sixteenth problem: uniform bounds for limit cycles
Not in curated recordUniform bounds for planar polynomial limit cycles
Hilbert's sixteenth problem: uniform bounds for limit cycles
Linked to curated recordA smooth three-torus diffeomorphism with simple Lebesgue spectrum
Banach’s simple Lebesgue-spectrum problem
Not in curated recordRokhlin's multiple-mixing problem for one transformation
Rokhlin’s multiple-mixing problem
Not in curated recordPositive Metric Entropy for the Standard Map at Large Parameters
Positive metric entropy for the standard map
Not in curated recordContinuous Phase Foliations Create Analytic Caustic Collars
The near-boundary Birkhoff conjecture
Not in curated recordRigidity of Smooth Billiards with a Continuous Caustic Collar
The near-boundary Birkhoff conjecture
Not in curated recordThe entropy-rate dimension formula for self-similar measures on the line
The entropy-rate dimension formula for self-similar measures
Not in curated recordBoundedness and persistence of weakly reversible mass-action systems
Classwise permanence for weakly reversible mass-action systems
Not in curated recordUniform Permanence in Weakly Reversible Mass-Action Systems
Classwise permanence for weakly reversible mass-action systems
Not in curated recordErgodicity of triangular billiards with an irrational angle
Weak mixing of triangular billiards with an irrational angle
Not in curated recordWeak mixing of triangular billiards with an irrational angle
Weak mixing of triangular billiards with an irrational angle
Not in curated recordA C^1 Counterexample to the Entropy Conjecture
A C1 counterexample to the entropy conjecture
Not in curated recordA zero-entropy system without a smooth positive-volume model
Zero entropy does not guarantee a smooth positive-volume model
Not in curated recordArithmetic classification and non-Pisot singularity for Bernoulli convolutions
Arithmetic classification and non-Pisot singularity for Bernoulli convolutions
Not in curated recordPointwise Multiple Ergodic Averages for Mixing Transformations
Pointwise multiple ergodic averages for mixing transformations
Not in curated recordPointwise convergence of fourfold ergodic averages for mixing transformations
Pointwise multiple ergodic averages for mixing transformations
Not in curated recordPointwise convergence of triple ergodic averages for mixing transformations
Pointwise multiple ergodic averages for mixing transformations
Not in curated recordTriple ergodic averages with distinct integer slopes
Pointwise multiple ergodic averages for mixing transformations
Not in curated recordA translational tile with no fully periodic tiling in dimension three
A counterexample to periodic tiling in dimension three
Not in curated recordA nine-dimensional counterexample to Borsuk's covering assertion
Borsuk's conjecture fails in dimension nine
Linked to curated recordA counterexample to Hadwiger's conjecture
Graph coloring, clique minors, and Colin de Verdière invariants
Linked to curated recordA counterexample to the Colin de Verdière chromatic conjecture
Graph coloring, clique minors, and Colin de Verdière invariants
Not in curated recordA linear list-coloring bound in terms of the Hadwiger number
Graph coloring, clique minors, and Colin de Verdière invariants
Not in curated recordThe Euclidean plane is not five-colorable
The Euclidean plane cannot be colored with five colors
Linked to curated recordQuasipolynomial Bounds for Arithmetic Progressions
Erdős’s reciprocal-sum conjecture and quasipolynomial Szemerédi bounds
Linked to curated recordQuantitative Superexponential Bounds for van der Waerden Numbers
Superexponential van der Waerden numbers
Not in curated recordA counterexample to Sidorenko's conjecture
Counterexamples to Sidorenko’s conjecture and the forcing conjecture
Linked to curated recordA counterexample to Ryser's covering conjecture
Counterexamples to Ryser’s covering conjecture
Not in curated recordBalanced counterexamples to Ryser's conjecture at prime orders
Counterexamples to Ryser’s covering conjecture
Not in curated recordMonochromatic finite sums and products in the positive integers
Hindman’s finite sums and products conjecture
Not in curated recordThe crossing number of complete bipartite graphs
The Harary–Hill and Zarankiewicz crossing-number formulas
Not in curated recordThe crossing number of complete graphs
The Harary–Hill and Zarankiewicz crossing-number formulas
Not in curated recordThe higher-dimensional Erdős distinct-distances conjecture
The higher-dimensional Erdős distinct-distances conjecture
Not in curated recordA power saving for planar unit distances
Planar distinct distances and unit-distance bounds
Not in curated recordThe weak pinned planar distance theorem
Planar distinct distances and unit-distance bounds
Not in curated recordCombinatorial invariance of Kazhdan–Lusztig polynomials
Combinatorial invariance of Kazhdan–Lusztig polynomials
Not in curated recordElementary positivity of chromatic quasisymmetric functions
Shareshian–Wachs elementary positivity
Not in curated recordSharp logarithmic exponents for fixed off-diagonal Ramsey numbers
Sharp logarithmic exponents for off-diagonal Ramsey numbers
Not in curated recordThe sharp logarithmic exponent of r(5,t)
Sharp logarithmic exponents for off-diagonal Ramsey numbers
Linked to curated recordThe hypercube Ramsey number has linear order
The hypercube Ramsey conjecture
Not in curated recordA classification of finite Euclidean Ramsey configurations
Classification of finite Euclidean Ramsey configurations
Not in curated recordA proof of Seymour’s second-neighborhood conjecture
Seymour’s second-neighborhood conjecture
Linked to curated recordA polynomial-time construction of strong thin trees
Deterministic construction of strong thin spanning trees
Not in curated recordThe strong thin tree conjecture
Deterministic construction of strong thin spanning trees
Not in curated recordGraph Decompositions at the Integral Expectation Threshold
Talagrand’s expectation thresholds, discrete convexity, and graph decompositions
Not in curated recordIntegral and fractional expectation thresholds are equivalent
Talagrand’s expectation thresholds, discrete convexity, and graph decompositions
Not in curated recordTalagrand’s discrete-convexity conjecture
Talagrand’s expectation thresholds, discrete convexity, and graph decompositions
Not in curated recordThe second Kahn–Kalai conjecture
The second Kahn–Kalai conjecture with an edge-count bound
Not in curated recordBounded-degree coboundary expanders in every dimension
Bounded-degree coboundary expanders
Not in curated recordDeterministic nonbipartite Ramanujan graphs in every fixed degree
Deterministic nonbipartite Ramanujan graphs in every fixed degree
Not in curated recordThe circulant Hadamard conjecture
The circulant Hadamard and Barker-sequence conjectures
Not in curated recordPaired states and Hamiltonian cycles in cubic bipartite planar graphs
Barnette’s Hamiltonian-cycle conjecture
Not in curated recordA linear cycle-and-edge decomposition of every graph
The Erdős–Gallai cycle-decomposition conjecture
Not in curated recordA Power Saving for Polynomial Differences at Prime Arguments
Power savings for intersective polynomial differences and prime arguments
Not in curated recordA power saving for intersective polynomial differences with an exponent depending only on the degree
Power savings for intersective polynomial differences and prime arguments
Not in curated recordA power saving for square-difference-free sets
Power savings for intersective polynomial differences and prime arguments
Not in curated recordA power saving for planar halving lines
Power savings for planar halving lines and k-sets
Not in curated recordA logarithmic independence bound for clique-free graphs
Correspondence coloring with a fixed forbidden subgraph
Not in curated recordCorrespondence coloring graphs with a forbidden clique
Correspondence coloring with a fixed forbidden subgraph
Not in curated recordA Counterexample to the Infinite Matroid Packing/Covering Conjecture
Counterexamples to infinite matroid intersection and packing/covering
Not in curated recordA Sharp Threshold Bound for Monotone Graph Properties
Uniform influence and sharp thresholds for graph and hypergraph properties
Not in curated recordA uniform influence bound for hypergraph properties
Uniform influence and sharp thresholds for graph and hypergraph properties
Not in curated recordSnaky in 21 Maker moves
Snaky in 21 Maker moves
Not in curated recordThe sharp terminal leave in random triangle removal
The sharp terminal leave in random triangle removal
Not in curated recordCycle--clique Ramsey numbers
Cycle–clique Ramsey numbers
Not in curated recordPolynomial removal fails for ordered binary matrices
Polynomial removal fails for ordered binary matrices
Not in curated recordA power improvement in the Heilbronn triangle lower bound
A power improvement in the Heilbronn triangle lower bound
Not in curated recordUnbounded Violations of the Square-Root Degree Bound
Boolean functions violate the square-root degree bound by arbitrary factors
Not in curated recordPositivity of Serre's Intersection Multiplicity
Serre’s intersection-multiplicity conjecture
Linked to curated recordLech's multiplicity conjecture
Lech’s multiplicity conjecture
Not in curated recordA Complete Local Domain without a Small Cohen–Macaulay Module
A counterexample to the small Cohen–Macaulay module conjecture
Not in curated recordA Torsion-Free Group Algebra with Zero Divisors
A counterexample to Kaplansky’s zero-divisor conjecture
Linked to curated recordA Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two
A torsion-free group algebra that is not directly finite
Not in curated recordA Counterexample to Kaplansky's Direct-Finiteness Conjecture in Odd Characteristic
A torsion-free group algebra that is not directly finite
Not in curated recordA Counterexample to the Group-Ring Determinant Conjecture
A torsion-free group algebra that is not directly finite
Not in curated recordA Torsion-Free Group Algebra That Is Not Directly Finite
A torsion-free group algebra that is not directly finite
Linked to curated recordAn algebra of infinite little finitistic dimension
A counterexample to finitistic-dimension finiteness
Linked to curated recordA counterexample to Tachikawa's second conjecture
Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures
Not in curated recordAn explicit counterexample to the Auslander-Reiten conjecture
Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures
Not in curated recordCommuting Division-Coefficient Forms and the Artinian Eisenbud--Green--Harris Conjecture
Eisenbud–Green–Harris and lex-plus-powers
Not in curated recordThe Artinian Lex-Plus-Powers Betti Theorem
Eisenbud–Green–Harris and lex-plus-powers
Not in curated recordA Counterexample to Kurosh’s Division-Ring Problem
A counterexample to Kurosh’s division-ring problem
Not in curated recordThe Blockwise Alperin Weight Conjecture
The blockwise Alperin weight conjecture
Not in curated recordDonovan's Conjecture over Algebraically Closed Fields
Donovan's conjecture over fields and complete mixed-characteristic DVRs
Not in curated recordIntegral Donovan Finiteness over Witt Vectors
Donovan's conjecture over fields and complete mixed-characteristic DVRs
Not in curated recordTensor saturation for even spin groups
Tensor saturation for even spin groups
Not in curated recordA Cyclic Polytabloid Proof of Saxl's Conjecture
Saxl’s conjecture and universal tensor squares
Not in curated recordUniversal Tensor Squares for Symmetric Groups
Saxl’s conjecture and universal tensor squares
Not in curated recordA negative solution to the finite lattice representation problem
Finite lattice representation and undecidability
Not in curated recordFinite congruence lattices: characterization and undecidability
Finite lattice representation and undecidability
Not in curated recordThe Bass trace conjecture and the characteristic-zero Kaplansky idempotent conjecture
The ℓ¹-Bass conjecture for all discrete groups
Not in curated recordThe ℓ¹-Bass Conjecture for Discrete Groups
The ℓ¹-Bass conjecture for all discrete groups
Not in curated recordFiber functors for finite symmetric tensor categories in positive characteristic
Finite symmetric tensor categories and the Verlinde tower
Not in curated recordAn integral counterexample to Gersten's conjecture
Integral counterexamples to Gersten’s conjecture
Not in curated recordAn integral degree-three Gersten counterexample
Integral counterexamples to Gersten’s conjecture
Not in curated recordFoulkes' conjecture for the sixth symmetric power
Foulkes' conjecture for sixth powers and quadratic stabilization
Not in curated recordQuadratic stabilization of the canonical Foulkes--Howe map
Foulkes' conjecture for sixth powers and quadratic stabilization
Not in curated recordA Linear Clock for Random Walk on Tree-Weighted Planar Maps
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordBrownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordCanonical conformal limits of subcritical FK planar maps
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordMetric-measure limits of subcritical FK and spanning-tree planar maps
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordRandom Walks on Critical FK–Ising Maps and Liouville Brownian Motion
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordSpectral convergence for critical FK–Ising planar maps
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordThe critical Liouville quantum sphere and geometric limits of FK maps at q=4
The geometric phase diagram, diffusion, and spectra of random planar maps
Not in curated recordNo bigeodesics in planar first-passage percolation
Planar first-passage geometry and the absence of bigeodesics
Not in curated recordStrict convexity and differentiability of the planar exponential first-passage limit shape
Planar first-passage geometry and the absence of bigeodesics
Not in curated recordCritical bond and site percolation on the cubic lattice
Critical percolation on every quasi-transitive graph
Not in curated recordNo percolation at criticality on quasi-transitive graphs
Critical percolation on every quasi-transitive graph
Linked to curated recordNonuniqueness of percolation on nonamenable quasi-transitive graphs
The Benjamini–Schramm nonuniqueness conjecture
Not in curated recordAn Isolated Particle Pole for the Two-Dimensional O(3) Spin Field
Canonical O(3) continuum limit and exact O(4) mass asymptotics
Not in curated recordExact mass asymptotics for the two-dimensional O(4) lattice model
Canonical O(3) continuum limit and exact O(4) mass asymptotics
Not in curated recordExponential decay in two-dimensional classical O(n) models
Canonical O(3) continuum limit and exact O(4) mass asymptotics
Not in curated recordSharp mass bounds for the two-dimensional O(4) model
Canonical O(3) continuum limit and exact O(4) mass asymptotics
Not in curated recordThe canonical massive continuum limit of the two-dimensional O(3) model
Canonical O(3) continuum limit and exact O(4) mass asymptotics
Not in curated recordBKT universality for height and planar spin fields
Critical and near-critical XY scaling and BKT universality
Not in curated recordCritical Center Magnetization in the Planar XY Model
Critical and near-critical XY scaling and BKT universality
Not in curated recordEssential Singularity of the Correlation Length in the Planar XY Model
Critical and near-critical XY scaling and BKT universality
Not in curated recordThe Critical Spin Field of the Planar XY Model
Critical and near-critical XY scaling and BKT universality
Not in curated recordThe critical correlation exponent of the planar XY model
Critical and near-critical XY scaling and BKT universality
Not in curated recordThe critical logarithmic correction for the planar XY model
Critical and near-critical XY scaling and BKT universality
Not in curated recordThe low-temperature Sherrington–Kirkpatrick fluctuation scale
The low-temperature Sherrington–Kirkpatrick fluctuation law
Not in curated recordThe low-temperature Sherrington–Kirkpatrick free-energy limiting law
The low-temperature Sherrington–Kirkpatrick fluctuation law
Linked to curated recordBuffered comparison and stopping-band resolution in critical Ising
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordConformal universality of bulk Ising correlations under weak interactions
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordLogarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordQuenched SLE₃ Universality for the Weak Random-Bond Ising Model
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordQuenched SLE₃ limits for general weak random-bond Ising models
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordSLE3 universality for weak finite-range Ising interactions
Conformal universality for weakly interacting and random-bond Ising models
Not in curated recordFixed-energy universality for weak Anderson disorder on random regular graphs
GOE bulk universality for regular graphs with weak Anderson disorder
Not in curated recordGOE bulk universality for fixed-degree random regular graphs
GOE bulk universality for regular graphs with weak Anderson disorder
Not in curated recordA directional zero–one law for finite-range-dependent random environments
Directional zero–one laws beyond iid environments and iid ballisticity
Not in curated recordA directional zero–one law under strict ellipticity
Directional zero–one laws beyond iid environments and iid ballisticity
Not in curated recordDirectional transience implies ballisticity
Directional zero–one laws beyond iid environments and iid ballisticity
Not in curated recordThe Mézard–Parisi formula for diluted spin glasses
The Mézard–Parisi formula for diluted spin glasses
Not in curated recordMicroscopic jamming in the negative spherical perceptron
Perceptron free energies and microscopic jamming exponents
Not in curated recordThe free energy of the Ising random perceptron
Perceptron free energies and microscopic jamming exponents
Not in curated recordThe free energy of the spherical random perceptron
Perceptron free energies and microscopic jamming exponents
Not in curated recordThe spherical perceptron with bi-orthogonally invariant disorder
Perceptron free energies and microscopic jamming exponents
Not in curated recordConformal Limits of Critical Square-Lattice Random-Cluster Interfaces
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordNatural Occupation Measures for Critical Square-Lattice FK Interfaces
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordQuenched SLE Universality for Weakly Disordered FK–Ising Interfaces
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordSelf-dual random-cluster interfaces below one
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordSquare-lattice FK interfaces and nested loops for 1 <= q < 4
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordThermal FK–Ising interfaces and massive SLE
Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling
Not in curated recordA Pivotal Amplitude for Voronoi Percolation from Cardy's Formula
Critical and quenched near-critical universality for Poisson–Voronoi percolation
Not in curated recordCardy’s formula for critical Poisson–Voronoi percolation
Critical and quenched near-critical universality for Poisson–Voronoi percolation
Not in curated recordFrom critical crossings to quenched near-critical universality in Voronoi percolation
Critical and quenched near-critical universality for Poisson–Voronoi percolation
Not in curated recordThe Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)
Gaussian free field limits throughout the balanced six-vertex regime
Not in curated recordThe curve scaling limit of half-plane double dimers
The double-dimer loop ensemble converges to CLE4
Not in curated recordA spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordA typical-start upper bound for low-temperature SK Glauber dynamics
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordCritical mixing in the Sherrington–Kirkpatrick model
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordCritical slowing down in the Sherrington–Kirkpatrick model
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordCutoff throughout the high-temperature Sherrington–Kirkpatrick phase
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordFunctional universality of critical SK autocorrelations
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordStretched-exponential barriers for typical SK initial states
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordUniversality of critical quench autocorrelations in the Sherrington–Kirkpatrick model
Critical SK autocorrelation processes and dynamics across the temperature transition
Not in curated recordA continuum temperature singularity for a radial pair potential
Continuum phase transitions for radial pair potentials
Not in curated recordA radial continuum phase transition with algebraic decay
Continuum phase transitions for radial pair potentials
Not in curated recordA Capacity Criterion for Four-State Potts Reconstruction on Trees
Exact three- and four-state reconstruction thresholds and four-state tree capacity
Not in curated recordThe Reconstruction Threshold for the Ferromagnetic Four-State Potts Model
Exact three- and four-state reconstruction thresholds and four-state tree capacity
Not in curated recordThe exact reconstruction threshold for the three-state symmetric channel
Exact three- and four-state reconstruction thresholds and four-state tree capacity
Not in curated recordAn exact Hausdorff gauge for SLE
Exact Hausdorff gauges for SLE
Not in curated recordAn explicit exact Hausdorff gauge for SLE
Exact Hausdorff gauges for SLE
Not in curated recordThe free uniform spanning forest is a factor of IID
The free uniform spanning forest is a factor of IID
Not in curated recordGaussian free-field limits of weighted integer Lipschitz heights
Gaussian fields and interfaces for triangular-lattice Lipschitz heights
Not in curated recordThe Gaussian free field limit of integer Lipschitz heights with two-arc boundary data
Gaussian fields and interfaces for triangular-lattice Lipschitz heights
Not in curated recordUniform real Lipschitz surfaces on the triangular lattice
Gaussian fields and interfaces for triangular-lattice Lipschitz heights
Not in curated recordThe joint scaling limit of critical Ashkin-Teller currents
The joint critical Ashkin–Teller current limit
Not in curated recordAll-temperature pressure for orthogonally invariant Ising spin glasses
All-temperature pressure of orthogonally invariant Ising spin glasses
Not in curated recordA Limiting Satisfiability Threshold for Every Fixed Clause Size
Limiting random SAT thresholds, sharp variance and computability
Not in curated recordComputing the Random 3-SAT Threshold
Limiting random SAT thresholds, sharp variance and computability
Not in curated recordLinear Variance of the Random 3-SAT Hitting Time
Limiting random SAT thresholds, sharp variance and computability
Not in curated recordVariance of the Random k-SAT Hitting Time
Limiting random SAT thresholds, sharp variance and computability
Not in curated recordThe sharp factor-of-IID threshold for the free Ising model on regular trees
The exact factor-of-IID threshold for free Ising spins on trees
Not in curated recordCap-selected amplitudes and triangle chords for honeycomb walks
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordCritical honeycomb chords with prescribed boundary endpoints
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordCritical strip-crossing mass on the honeycomb lattice
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordCylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordCylinder loop weights and planar nesting
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordDisk transfer representations and confined bridge mass
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordMarked polygon correlations and one-arc bounds
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordMass and covering exponents for fixed-length honeycomb walks
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordPolynomial vacuum representations and bridge mass for honeycomb walks
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordRadial transfer estimates and polygon length laws for honeycomb walks
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordRenewal and changes of law for critical honeycomb walks
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordSigned cylinder propagation and marked polygons on the honeycomb lattice
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordUniform marked-polygon estimates and sharp finite bridge moments
The three-quarter exponent for honeycomb self-avoiding walk
Not in curated recordA strict four-row permanent inequality and permutation moments
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordCompatibility entropy and the spectrum of a Thorp sweep
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordConditional coordinate sweeps and analytic transfer
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordConditional information under deterministic coordinate sweeps
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordConditional permutations in a revealed switching environment
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordFrom partial permutation information to Fourier bounds
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordOptimal-order mixing of the Thorp shuffle
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordRandom coordinate frames and partial permutation laws
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordRandom-subspace tests and trace smoothing for coordinate sweeps
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordRouting densities and representation contraction for Thorp sweeps
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordRow–column symmetry and contraction of coordinate sweeps
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordSigned tensor densities and diagram budgets for the Thorp shuffle
Optimal logarithmic mixing of the Thorp shuffle
Not in curated recordThe sharp exponential rate of singularity for symmetric Bernoulli matrices
Sharp singularity rates for symmetric random sign matrices
Not in curated recordThe sharp singularity rate for biased symmetric sign matrices
Sharp singularity rates for symmetric random sign matrices
Not in curated recordA CH obstruction to a prescribed categoricity threshold
Shelah's eventual categoricity and the prescribed-threshold obstruction
Not in curated recordEventual categoricity for abstract elementary classes
Shelah's eventual categoricity and the prescribed-threshold obstruction
Linked to curated recordRigidity of the Turing degrees
Rigidity of the Turing degrees
Linked to curated recordSingle-fold Diophantine representations
Single-fold Diophantine representations and undecidability under an at-most-one-solution promise
Not in curated recordChoiceless polynomial time with counting does not capture polynomial time
Separating choiceless counting from polynomial time and witnessed choice
Not in curated recordWitnessed symmetric choice is strictly stronger than choiceless polynomial time with counting
Separating choiceless counting from polynomial time and witnessed choice
Not in curated recordThe Partition Principle does not imply Choice
The Partition Principle does not imply Choice
Linked to curated recordWeak and strong normalization in pure type systems
Weak normalization implies strong normalization in pure type systems
Not in curated recordA Modulus Proof of Cannon’s Conjecture
Cannon's conjecture
Linked to curated recordAn infinite finitely presented periodic group
An infinite finitely presented residually finite 2-group and a finitely presented nil algebra
Not in curated recordAn infinite finitely presented residually finite 2-group
An infinite finitely presented residually finite 2-group and a finitely presented nil algebra
Linked to curated recordThompson's group F is nonamenable
Thompson's group F is nonamenable
Linked to curated recordA finitely generated counterexample to the Eilenberg–Ganea conjecture
A finitely generated Eilenberg–Ganea counterexample
Not in curated recordA universal group of type F∞
Boone–Higman embeddings with higher finiteness
Not in curated recordFinite algebraic envelopes and the Boone–Higman conjecture
Boone–Higman embeddings with higher finiteness
Not in curated recordSimple F∞ overgroups of groups with decidable word problem
Boone–Higman embeddings with higher finiteness
Not in curated recordStrong Ulam Stability Characterizes Amenability
Amenability, unitarizability, and strong Ulam stability
Not in curated recordUnitarizability implies amenability for discrete groups
Amenability, unitarizability, and strong Ulam stability
Not in curated recordA torsion-free hyperbolic group that is not residually finite
A torsion-free hyperbolic group that is neither residually finite nor linear over any field
Not in curated recordAn infinite finitely presented simple amenable group
An infinite finitely presented simple amenable group
Not in curated recordAn Artin group with no geometric CAT(0) action
Classifying spaces and geometric obstructions for Artin groups
Not in curated recordHarmonic heights and the Artin K(pi,1) conjecture
Classifying spaces and geometric obstructions for Artin groups
Not in curated recordParabolic intersections in Artin groups
Classifying spaces and geometric obstructions for Artin groups
Not in curated recordQuasi-isometric recognition of virtually polycyclic groups
Quasi-isometric recognition of virtually polycyclic groups
Not in curated recordNonsingular systems of equations over arbitrary groups
Nonsingular systems of equations over arbitrary groups
Not in curated recordThe Kervaire theorem for groups
Nonsingular systems of equations over arbitrary groups
Not in curated recordA hyperbolic group with no geometric CAT(0) action
A hyperbolic group without a geometric CAT(0) action
Not in curated recordBaumslag-Solitar-free one-relator groups are hyperbolic
Gersten’s conjecture and virtual compact specialness of one-relator groups
Not in curated recordVirtual compact specialness of hyperbolic one-relator groups
Gersten’s conjecture and virtual compact specialness of one-relator groups
Not in curated recordA group without fixed price
A group without fixed price
Not in curated recordA Charged Reduction of the Spacetime Penrose Inequality in Spatial Dimensions at Least Four
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordA local Penrose inequality for conformal perturbations of Schwarzschild–anti-de Sitter data
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordArea-controlled end replacement and the Bondi Penrose inequality in the CKS class
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordBoundary graph deformations for the spacetime Penrose inequality
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordConformal flow and the Riemannian Penrose inequality with minimizing frontiers
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordElectromagnetic tails and the Kerr–Newman Penrose inequality
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordEquality and rigidity in the spacetime Penrose inequality
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordSpacetime Penrose inequalities: enclosing area, charge, and rigidity
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordThe Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordThe Penrose inequality for maximal asymptotically hyperbolic initial data
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordThe nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordThe spacetime Penrose inequality and enclosing area
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Linked to curated recordThe spacetime Penrose inequality with charge and original-data rigidity
Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions
Not in curated recordAbsolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three
Localization and delocalization in the Anderson model
Linked to curated recordPure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder
Localization and delocalization in the Anderson model
Not in curated recordEquality cases in the sharp one-dimensional matrix Lieb–Thirring inequality
Sharp finite-matrix Lieb–Thirring inequalities and all equality cases
Not in curated recordSharp one-dimensional Lieb–Thirring constants
Sharp finite-matrix Lieb–Thirring inequalities and all equality cases
Not in curated recordSharp one-dimensional Lieb–Thirring inequalities for matrix potentials
Sharp finite-matrix Lieb–Thirring inequalities and all equality cases
Not in curated recordGeneralized ionization energies for full Coulomb atoms
The ionization and generalized ionization conjectures
Not in curated recordGeneralized outer-electron radii of neutral Coulomb atoms
The ionization and generalized ionization conjectures
Not in curated recordUniform excess charge for Coulomb molecules and the outer radius of neutral atoms
The ionization and generalized ionization conjectures
Not in curated recordGeneric C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes
Strong cosmic censorship near two-ended Kerr data
Not in curated recordGeneric Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime
Strong cosmic censorship near two-ended Kerr data
Not in curated recordQuantitative Near-Kerr Evolution and Generic C2 Future Inextendibility
Strong cosmic censorship near two-ended Kerr data
Not in curated recordA two-dimensional area law from a global spectral gap
Area laws and tensor networks for two-dimensional gapped systems
Not in curated recordPolynomial PEPS approximation of gapped square-grid ground states
Area laws and tensor networks for two-dimensional gapped systems
Not in curated recordExact Fourier certificates for complex Hadamard matrices of order six
Exactly three mutually unbiased bases in dimension six
Not in curated recordThe maximum number of mutually unbiased bases in dimension six
Exactly three mutually unbiased bases in dimension six
Linked to curated recordA density-uniform condensate bound for dilute Bose gases
Positive-temperature Bose–Einstein condensation and exact quantum depletion
Not in curated recordBose–Einstein condensation at positive temperature in the dilute hard-sphere gas
Positive-temperature Bose–Einstein condensation and exact quantum depletion
Not in curated recordGround-state condensation in the dilute hard-sphere gas
Positive-temperature Bose–Einstein condensation and exact quantum depletion
Not in curated recordQuantum Depletion and Momentum Distribution in the Dilute Hard-Sphere Bose Gas
Positive-temperature Bose–Einstein condensation and exact quantum depletion
Not in curated recordQuantum Depletion for Fixed Bounded Repulsive Potentials
Positive-temperature Bose–Einstein condensation and exact quantum depletion
Not in curated recordA boundary-field gap for the spin-one Heisenberg chain
The spin-one Haldane gap
Not in curated recordThe periodic spin-one Haldane gap
The spin-one Haldane gap
Linked to curated recordA Fock-space inequality and the Laughlin spectral gap
Uniform Laughlin gap and stability under bounded scalar disorder
Not in curated recordUniform Stability of the Spherical Laughlin Gap
Uniform Laughlin gap and stability under bounded scalar disorder
Not in curated recordPositive eigenvalues of the relative SU(2) BFSS Hamiltonian
Threshold and positive-energy bound states of the BFSS matrix model
Not in curated recordThe unique threshold bound state of the SU(N) BFSS model
Threshold and positive-energy bound states of the BFSS matrix model
Not in curated recordBloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions
Bloch's law, its lattice correction, and the spherical magnetization law
Not in curated recordSpontaneous magnetization in the quantum Heisenberg ferromagnet
Bloch's law, its lattice correction, and the spherical magnetization law
Not in curated recordThe first lattice correction to Bloch's law
Bloch's law, its lattice correction, and the spherical magnetization law
Not in curated recordThe spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet
Bloch's law, its lattice correction, and the spherical magnetization law
Not in curated recordEntanglement with zero distillable secret key in local dimension ten
Entanglement without distillable secret key
Not in curated recordThe entropy photon-number inequality
The entropy photon-number inequality
Not in curated recordProduct-projection localization and the QAC0 parity lower bound
Parity is not in QAC0
Not in curated recordRegular trajectories, pruning and quantum parity
Parity is not in QAC0
Not in curated recordContinuum Coulomb hardness with binary nuclear charges
QMA-hardness of continuum Coulomb energy
Not in curated recordQMA-hardness of continuum Coulomb energy with unit nuclear charges
QMA-hardness of continuum Coulomb energy
Not in curated recordClassical capacity and entropy inequalities for generalized amplitude damping
Classical capacity of generalized amplitude damping
Not in curated recordThreshold parallel repetition for finite-dimensional entangled games
Threshold repetition for entangled games
Not in curated recordA Coulomb ground-state density without Kohn-Sham ensemble representation
Failure of Kohn–Sham ensemble representation
Not in curated recordExact quantum factoring over a fixed finite gate set
Exact quantum factoring over a fixed finite gate set
Not in curated recordStrongly rational unitary vertex operator algebras and conformal nets
Unitary vertex operator algebras and conformal nets
Not in curated recordFull support of the zero-temperature Sherrington-Kirkpatrick order parameter
QAOA attains the SK optimum in the thermodynamic-first limit
Not in curated recordQAOA attains the SK ground-state energy in the thermodynamic-first limit
QAOA attains the SK optimum in the thermodynamic-first limit
Not in curated recordScale and conformal symmetry in four-dimensional operational quantum field theory
From scale symmetry to local conformal symmetry in four-dimensional QFT
Not in curated recordPolynomial-Time Unitary Synthesis from a Boolean Oracle
Polynomial-time unitary synthesis from a Boolean oracle
Not in curated recordA Nearly Quartic Separation Between Randomized and Quantum Query Complexity
The optimal quartic separation between randomized and quantum queries
Not in curated recordA torsion-free counterexample to reduced Baum–Connes injectivity
Counterexamples to Baum–Connes and Kadison–Kaplansky
Not in curated recordA torsion-free counterexample to the Kadison–Kaplansky projection conjecture
Counterexamples to Baum–Connes and Kadison–Kaplansky
Not in curated recordAn irrational-trace counterexample to reduced Baum–Connes
Counterexamples to Baum–Connes and Kadison–Kaplansky
Not in curated recordArithmeticity of twisted finite correspondences for lattices over local fields
Rigidity and arithmetic of lattice von Neumann algebras
Not in curated recordThe arithmetic category and stable recovery of lattice factors
Rigidity and arithmetic of lattice von Neumann algebras
Not in curated recordAn isomorphism of the free group factors
Isomorphism of the free group factors
Linked to curated recordKadison's similarity theorem through uniform derivation estimates
Kadison's similarity conjecture
Linked to curated recordClose Separable C*-Algebras Without Spatial Conjugacy
Strong Kadison–Kastler stability and its spatial boundaries
Not in curated recordNear Inclusions of von Neumann Algebras Without Small Spatial Embeddings
Strong Kadison–Kastler stability and its spatial boundaries
Not in curated recordUniversal strong Kadison–Kastler stability
Strong Kadison–Kastler stability and its spatial boundaries
Not in curated recordBounded recovery for modular spectral averages
Relative bicentralizers and modular spectral recovery
Not in curated recordExpected amenable subalgebras preserving core commutants
Relative bicentralizers and modular spectral recovery
Not in curated recordCuntz comparison and Jiang–Su absorption
Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability
Not in curated recordEquivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case
Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability
Not in curated recordNuclear dimension and Jiang–Su stability without elementary subquotients
Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability
Not in curated recordTracial projection methods and uniform property Gamma
Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability
Not in curated recordAn explicit obstruction to nuclear norm-ultrapower embeddings
Kirchberg's \mathcal O_2 norm-ultrapower embedding problem
Not in curated recordBackward intertwiners and a transitive commutant
Invariant projections, hyperinvariant subspaces, and transitive algebras
Not in curated recordInvariant-projection counterexamples for every irrational rotation
Invariant projections, hyperinvariant subspaces, and transitive algebras
Not in curated recordA counterexample to Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness
Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness
Not in curated recordVanishing of higher bounded Hochschild cohomology
The Kadison–Ringrose cohomology conjecture
Not in curated recordRelative generation and the generator problem for finite factors
The generator problem for finite factors
Not in curated recordA counterexample to Naimark's problem in ZFC
A ZFC counterexample to Naimark's problem
Not in curated recordA finite-entropy separation of microstates and nonmicrostates free entropy
Two notions of free entropy differ even when both are finite
Not in curated recordThe Kirchberg–Rørdam character criterion
The Kirchberg–Rørdam character criterion and infinite tensor-power Jiang–Su stability
Not in curated recordApproximation Paving over Arbitrary Maximal Abelian Subalgebras
Approximation and quadratic strong-operator paving
Not in curated recordQuadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras
Approximation and quadratic strong-operator paving
Not in curated recordThe trace cone classifies Razak–Jacelon stabilizations
Trace cones and Razak–Jacelon stabilization
Not in curated recordFiltered products and boundary-preserving compression in complex cobordism
Radius of comparison equals half the mean dimension
Not in curated recordRadius of comparison equals half the mean dimension
Radius of comparison equals half the mean dimension
Not in curated recordWeak pure infiniteness and O-infinity absorption
Weak pure infiniteness and Cuntz-algebra absorption
Not in curated recordThe Hilbert–Smith conjecture in every finite dimension
The Hilbert–Smith conjecture in every dimension
Linked to curated recordA PD4 group without an aspherical manifold model
Four-dimensional disk embedding and Wall's conjecture
Not in curated recordA boundary-only obstruction to four-dimensional disk embedding
Four-dimensional disk embedding and Wall's conjecture
Not in curated recordA marked tensor obstruction to four-dimensional disk embedding
Four-dimensional disk embedding and Wall's conjecture
Not in curated recordPurely cosmetic surgery on knots in the three-sphere
The purely cosmetic surgery conjecture
Not in curated recordA counterexample to the coarse Novikov conjecture
Failure of rational injectivity for maximal coarse assembly
Not in curated recordFailure of rational injectivity for maximal coarse assembly
Failure of rational injectivity for maximal coarse assembly
Not in curated recordA finite Smith–Toda complex V(4) at the prime 1009
Finite Smith–Toda complexes at every height
Not in curated recordFinite Smith–Toda Complexes at Varying Primes
Finite Smith–Toda complexes at every height
Not in curated recordThe Kervaire invariant problem at the prime three
The Kervaire invariant problem at the prime three
Not in curated recordRational homology and Quillen's conjecture
Quillen's conjecture in rational homology
Not in curated recordStabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra
The Hovey–Strickland and Chai conjectures
Not in curated recordThe Grothendieck homotopy hypothesis via elementary expansions
The Grothendieck homotopy hypothesis
Not in curated recordFinite generation for the K(n)-local sphere
Finite generation for the K(n)-local sphere
Not in curated recordCyclic length and chromatic fixed-point loss
Cyclic length and chromatic fixed-point loss
Not in curated recordThe Singer conjecture in dimension four
The four-dimensional Singer conjecture
Linked to curated recordThe Stable Hurewicz Image of the Sphere at Two
Curtis’s conjecture
Not in curated recordThomason Model Structures in Every Strict Higher Dimension
Thomason model structures in all strict higher dimensions
Not in curated recordA rational obstruction to strong chromatic splitting at height three
Chromatic splitting: filtrations and counterexamples
Not in curated recordCounterexamples to weak chromatic splitting: sphere kernels and descent exponents
Chromatic splitting: filtrations and counterexamples
Not in curated recordFailure of finite assembly for a chromatic overlap at the prime three
Chromatic splitting: filtrations and counterexamples
Not in curated recordFiltered chromatic splitting at generic primes
Chromatic splitting: filtrations and counterexamples
Not in curated recordThe height-three chromatic overlap: an explicit filtration and its attachments
Chromatic splitting: filtrations and counterexamples
Not in curated recordCounterexamples to the Hahn-Wilson conjecture at height two
Counterexamples to finite generation at chromatic height two
Not in curated recordNonhomeomorphic closed aspherical four-manifolds with the same homotopy type
Nonhomeomorphic closed aspherical four-manifolds
Not in curated recordA Counterexample to Wall's D(2) Problem
A counterexample to Wall's finite D(2) problem
Not in curated recordA positive solution to Tingley’s problem
Tingley’s sphere-isometry problem
Not in curated recordRelative independence of the separable quotient problem
Independence of the separable quotient problem
Not in curated recordBi-Lipschitz Absorption of c0 Without a Linear Copy of c0
Lipschitz equivalent Banach spaces need not be linearly isomorphic
Not in curated recordLipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic
Lipschitz equivalent Banach spaces need not be linearly isomorphic
Not in curated recordA direct proof of the complete Crouzeix inequality
The complete Crouzeix conjecture
Linked to curated recordThe complete Crouzeix theorem: optimal similarity and a common positive boundary representation
The complete Crouzeix conjecture
Not in curated recordThe cotype–cotype conjecture under the approximation property
The cotype–cotype conjecture under the approximation property
Not in curated recordNontrivial Markov Type Forces Superreflexivity
Markov type characterizes superreflexivity
Not in curated recordFixed Points of Nonexpansive Maps in Reflexive Banach Spaces
Nonexpansive fixed points in reflexive Banach spaces
Not in curated recordCounterexamples to the duality conjecture for metric entropy
A counterexample to metric-entropy duality
Not in curated recordA uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces
A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces
Not in curated recordAsymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space
Reflexive midpoint convexity and diamond distortion
Not in curated recordDistortion of countably branching diamonds from midpoint and tree energies
Reflexive midpoint convexity and diamond distortion
Not in curated recordExact asymptotic moduli in a Daugavet subspace of L1
Reflexive midpoint convexity and diamond distortion
Not in curated recordIndependent products in real L1: asymptotic midpoint convexity without AUC renormings
Reflexive midpoint convexity and diamond distortion
Not in curated recordMidpoint convexity from bounded tree potentials and path costs
Reflexive midpoint convexity and diamond distortion
Not in curated recordMidpoint convexity from two recursive potentials
Reflexive midpoint convexity and diamond distortion
Not in curated recordMidpoint lenses in segment spaces
Reflexive midpoint convexity and diamond distortion
Not in curated recordMetric Markov Cotype Two of ℓ1
Metric Markov cotype of ℓ1 and Hilbert-space Lipschitz extension
Not in curated recordSmooth isometric immersions of closed surfaces into Euclidean four-space
Smooth isometric immersions of surfaces into ℝ4
Linked to curated recordA Smooth Metric with No Local Isometric Immersion into Three-Space
A smooth surface metric with no local isometric immersion in ℝ3
Not in curated recordAn integral scalar curvature bound for real simplicial volume
Gromov’s integral scalar-curvature bound for simplicial volume
Not in curated recordPositive scalar curvature forces rational inessentiality
Gromov’s integral scalar-curvature bound for simplicial volume
Not in curated recordPositive scalar curvature and uniform codimension-two width
Spectral scalar curvature, Urysohn width, and macroscopic dimension
Not in curated recordSpectral scalar curvature and Urysohn width in dimension three
Spectral scalar curvature, Urysohn width, and macroscopic dimension
Not in curated recordSpectral scalar curvature and uniform Urysohn width
Spectral scalar curvature, Urysohn width, and macroscopic dimension
Not in curated recordGeneralized Cartan–Hadamard isoperimetry and Euclidean equality rigidity
Sharp Cartan–Hadamard isoperimetry and rigidity
Linked to curated recordSharp integral fillings in CAT(0) spaces
Sharp Cartan–Hadamard isoperimetry and rigidity
Not in curated recordUniformization of complete Kähler manifolds with positive bisectional curvature
Yau's uniformization conjecture
Linked to curated recordEntropy equality and local symmetry in negative curvature
Katok's entropy rigidity conjecture
Not in curated recordA counterexample to the nearby Lagrangian conjecture
A counterexample to the nearby Lagrangian conjecture
Not in curated recordDeforming hypersymplectic four-manifolds to hyperkähler triples
Donaldson's hypersymplectic deformation conjecture
Not in curated recordTaming implies compatibility on four-manifolds
Donaldson's tamed-to-compatible conjecture
Not in curated recordSymplectic Ball Packings in Higher Dimensions
Symplectic ball packing in higher dimensions
Not in curated recordThe metric Blaschke theorem
The metric Blaschke conjecture
Not in curated recordInfinitely many closed geodesic images on every Riemannian sphere
Infinitely many closed geodesics on Riemannian spheres and closed three-manifolds
Not in curated recordA Codimension-One Bound for the Singular Set of a Stationary Integral Varifold
Sharp singular-set bounds for stationary integral varifolds
Not in curated recordAlmost-everywhere regularity of stationary integral varifolds
Sharp singular-set bounds for stationary integral varifolds
Not in curated recordA nondegenerate counterexample to the Morse-number Arnold bound
Counterexamples to stable-Morse and strong Arnold fixed-point bounds
Not in curated recordHamiltonian Fixed Points Below the Stable Morse Number
Counterexamples to stable-Morse and strong Arnold fixed-point bounds
Not in curated recordHamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two
Counterexamples to stable-Morse and strong Arnold fixed-point bounds
Not in curated recordSharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number
Counterexamples to stable-Morse and strong Arnold fixed-point bounds
Not in curated recordThree fixed points on the symplectic quadric threefold
Counterexamples to stable-Morse and strong Arnold fixed-point bounds
Not in curated recordAn L² Einstein Gap for Nonnegatively Curved Four-Manifolds
Nonnegative-curvature Einstein classification and an L2 topological gap
Not in curated recordPositively curved Einstein four-manifolds
Nonnegative-curvature Einstein classification and an L2 topological gap
Not in curated recordZero-Plane Rigidity for Einstein Four-Manifolds
Nonnegative-curvature Einstein classification and an L2 topological gap
Not in curated recordThe Solomon–Yau least-volume theorem
The Solomon–Yau least-volume conjecture
Not in curated recordPower-law violations of Yau's nodal upper bound
Yau’s nodal bounds: surfaces and higher dimensions
Not in curated recordSharp nodal length on smooth surfaces
Yau’s nodal bounds: surfaces and higher dimensions
Not in curated recordSmooth counterexamples to Yau's nodal upper bound in dimensions three and four
Yau’s nodal bounds: surfaces and higher dimensions
Not in curated recordA closed Ricci flow with bounded scalar curvature and finite-time curvature blowup
Scalar curvature and finite-time Ricci-flow singularities
Not in curated recordBounded scalar curvature and smooth extension of four-dimensional Ricci flow
Scalar curvature and finite-time Ricci-flow singularities
Not in curated recordPath selection and an elliptic inequality on degenerating Ricci-flat trees
Scalar curvature and finite-time Ricci-flow singularities
Not in curated recordA finite-time singularity of Calabi flow on projective space
A finite-time singularity of Calabi flow
Not in curated recordA Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten
Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexample
Not in curated recordThe affine Bernstein theorem in dimensions three through nine
Affine Bernstein rigidity through dimension nine and a smooth dimension-ten counterexample
Not in curated recordThe Isoperimetric Conjecture for the Cubic Flat Three-Torus
The isoperimetric profile of the cubic three-torus
Not in curated recordUniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow
Unique tangent flows at the first surface singularity
Not in curated recordGigli’s distributional curvature characterization of Alexandrov spaces
Gigli’s characterization of Alexandrov curvature
Not in curated recordWeak Hessian bounds along every geodesic in RCD spaces
Gigli’s characterization of Alexandrov curvature
Not in curated recordBi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces
Bi-Lipschitz coordinates at every regular RCD point
Not in curated recordA Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric
A three-manifold without conjugate points or nonpositive curvature
Not in curated recordA negatively pinched Kähler threefold without bounded holomorphic coordinates
Negative Kähler curvature without bounded holomorphic coordinates
Not in curated recordOne-sided negative sectional curvature and the holomorphic Liouville property
Negative Kähler curvature without bounded holomorphic coordinates
Not in curated recordGlobal Support and Convex Injectivity Domains under Weak MTW
Weak MTW curvature gives convexity and regular optimal transport
Not in curated recordUniform Bi-Holder Transport from Weak MTW
Weak MTW curvature gives convexity and regular optimal transport
Not in curated recordA Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison
Failure of integer-degree harmonic dimension comparison
Not in curated recordA counterexample to integer-degree harmonic dimension comparison
Failure of integer-degree harmonic dimension comparison
Not in curated recordGlobal classical solutions of the three-dimensional relativistic Vlasov–Maxwell system
Global smoothness for relativistic Vlasov–Maxwell
Linked to curated recordNonuniqueness for the periodic hard-sphere Boltzmann equation
Nonuniqueness with local conservation for the hard-sphere Boltzmann equation
Not in curated recordNonuniqueness with local conservation for the hard-sphere Boltzmann equation
Nonuniqueness with local conservation for the hard-sphere Boltzmann equation
Not in curated recordHard-sphere fluctuations on the regular Boltzmann lifespan
Kinetic limits and fluctuations over the Boltzmann lifespan
Not in curated recordThe Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals
Kinetic limits and fluctuations over the Boltzmann lifespan
Not in curated recordDetermination of a metric and a unitary connection from one boundary patch
Joint metric and connection recovery from one boundary patch
Not in curated recordNonuniqueness for bounded measurable scalar conductivities in three dimensions
Joint metric and connection recovery from one boundary patch
Not in curated recordSmooth anisotropic uniqueness in the Calderón problem from one boundary patch
Joint metric and connection recovery from one boundary patch
Not in curated recordInterior regularity of planar Mumford–Shah minimizers
The planar Mumford–Shah regularity conjecture and local weak-L4 gradient bounds
Not in curated recordThe critical dimension for one-phase Bernoulli minimizers
The critical dimension for the one-phase Bernoulli problem
Not in curated recordStrong diffeomorphic approximation in three dimensions for 1≤p≤2
The three-dimensional Ball–Evans approximation problem
Not in curated recordStrong diffeomorphic approximation in three dimensions for p>2
The three-dimensional Ball–Evans approximation problem
Not in curated recordStrict hot spots and absence of interior critical points on smooth simply connected planar domains
The hot spots conjecture for simply connected planar domains
Linked to curated recordThe Subcritical Hénon–Lane–Emden Conjecture
The Lane–Emden and Hénon–Lane–Emden conjectures
Not in curated recordStable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus
Stable blowup for the defocusing Schrödinger equation
Not in curated recordGlobal Uniqueness for the Smooth Isotropic Elasticity Inverse Problem
Global uniqueness in smooth isotropic elasticity
Not in curated recordA counterexample to the Monge ansatz for the three-marginal Coulomb cost
Nonattainment of the three-marginal Coulomb Monge problem
Not in curated recordSharp One-Third Stability of Brenier Maps
Sharp one-third stability of Brenier maps
Not in curated recordA positive resolution of De Giorgi's conjecture in dimension eight
De Giorgi's conjecture in dimension eight
Not in curated recordA Fixed Particle Test for Computation in a Forced Viscous Flow
Universal computation in forced Navier–Stokes flows
Not in curated recordComputation under Rapidly Vanishing Navier–Stokes Forcing
Universal computation in forced Navier–Stokes flows
Not in curated recordFinite Instructions and Solenoidal Shear Flows
Universal computation in forced Navier–Stokes flows
Not in curated recordGeometric Programs for Solenoidal Forcing
Universal computation in forced Navier–Stokes flows
Not in curated recordIncompressible Box Transport and Finite Computation
Universal computation in forced Navier–Stokes flows
Not in curated recordPrefix Instructions and Incompressible Flows
Universal computation in forced Navier–Stokes flows
Not in curated recordScalar Potentials and Slow Clocks for Forced Fluid Computation
Universal computation in forced Navier–Stokes flows
Not in curated recordUniversal Computation with Eventually Stationary Navier–Stokes Forcing
Universal computation in forced Navier–Stokes flows
Not in curated recordVelocity-Field Detection of Computation in Forced Navier–Stokes Flows
Universal computation in forced Navier–Stokes flows
Not in curated recordUniform Interior C^{1,\alpha} Estimates for Infinity-Harmonic Functions
Interior C^{1,\alpha} regularity for infinity-harmonic functions
Not in curated recordDirectory uses the imported repository snapshot. Curated links may cite an earlier version of the same paper.
Documented withdrawals
OpenAI’s 7 October 2026 release history records these three withdrawals. The notices explain the gap and how to reach the archived papers.
Algebraicity of Weil classes on split abelian eightfolds
OpenAI reports a sign error that invalidates the stabilization-trace cancellation argument.
Read the publisher’s withdrawal notice · Read the archived manuscript
Algebraicity of Kuga–Satake Correspondences for K3 Surfaces
OpenAI withdrew this dependent paper because it uses the flawed stabilization-trace construction.
Read the publisher’s withdrawal notice · Read the archived manuscript
The rational Hodge conjecture for products of K3 surfaces
OpenAI withdrew this dependent paper because it uses the flawed stabilization-trace construction.
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