All OpenAI manuscripts
ManuscriptChoose a manuscript 001-01 · Milne's rationality conjecture for abelian varieties 002-01 · Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank 002-02 · The Selmer converse for elliptic curves at every prime 002-03 · The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one 003-01 · The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane Re s > 7/8 003-02 · The Quasi-Riemann Hypothesis (alternate 11/12 proof) 003-03 · Uniform exclusion of Landau–Siegel zeros 004-01 · Hilbert’s tenth problem over the rational numbers 004-02 · A pointwise 2-converse for elliptic curves with rational two-torsion 005-01 · Catalan's constant is irrational 006-01 · Goldfeld's analytic density conjecture and the 2-converse for elliptic curves 006-02 · The mean analytic rank of quadratic twists of elliptic curves 007-01 · Ordinary two-point correlations of multiplicative functions 008-01 · The Deligne-Drinfeld conjecture 009-01 · Reconstruction of Function Fields from Mod-ℓ Milnor K-Theory 009-02 · Reconstruction from Milnor K-theory modulo the characteristic 009-03 · The Bogomolov-Pop reconstruction theorem 010-01 · Unrestricted pro-modularity at the prime two 010-02 · The Dimension of the Two-Adic Hecke Algebra at Odd Level 010-03 · Fontaine–Mazur modularity at the prime 2 011-01 · Weighted dilation graphs, smooth shifted primes and totient fibers 011-02 · The Poisson-Dirichlet law for prime predecessors 011-03 · Prime Predecessors with an Even Number of Prime Factors 012-01 · The joint Dickman law for consecutive integers 013-01 · The additive indecomposability of the primes 014-01 · Global Arthur Enhancements of Cuspidal Excursion Parameters 014-02 · Rationality of the Canonical Unramified Arthur Filtration 014-03 · Ramanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level 014-04 · Temperedness at ramified places for globally generic exceptional groups 014-05 · The Restricted Geometric Langlands Equivalence in Positive Characteristic 014-06 · Constructible tame Hecke eigensheaves in positive characteristic 014-07 · Tame Hecke Eigensheaves with Several Marked Points 014-08 · Frobenius Structures on Tame Hecke Eigensheaves 015-01 · Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type 015-02 · Equidistribution of primitive quartic torus packets for arbitrary orders 015-03 · Equidistribution of Primitive Sextic Torus Packets 016-01 · The abelian Zilber–Pink conjecture 016-02 · The E×CM component of Zilber–Pink for curves in A2 016-03 · Quaternionic division points on curves in the Siegel threefold 016-04 · Elliptic squares and Zilber–Pink for curves in A2 017-01 · The irrationality exponent of pi is 2 018-01 · The Margulis–Platonov conjecture over global function fields 018-02 · The Margulis–Platonov conjecture over number fields 019-01 · Étale covers with a prescribed exterior sheet 019-02 · The p-adic section conjecture 020-01 · Squarefree values of quartics and power-free values of polynomials 021-01 · A quadratic bound for Jacobsthal's function 022-01 · The Weak Inhomogeneous Duffin–Schaeffer Conjecture 023-01 · An unconditional first moment for cubic Gauss sums 024-01 · An asymptotic formula for the number of totients 025-01 · Short Egyptian fractions 026-01 · Positive lower density of large prime gaps 027-01 · Integral points on character varieties of curves 028-01 · Bounded-Step Walks on Gaussian Primes 029-01 · Primitive roots for every admissible integer base 029-02 · Simultaneous primitive roots: a conditional lower bound for prime bases 030-01 · Modularity of elliptic curves over imaginary quadratic fields 031-01 · Open Homomorphisms of Global Solvably Closed Galois Groups 032-01 · The rational Hodge conjecture for CM abelian varieties 032-02 · Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus 032-03 · Weil classes and Hodge classes on abelian powers 032-04 · Abelian covers, Gale correspondences, and the Hodge conjecture for powers 032-05 · A Conditional Reduction for Algebraic Kuga–Satake Correspondences 033-01 · Orbifold and logarithmic Iitaka subadditivity 033-02 · Logarithmic Kodaira dimension and whole-fiber variation 033-03 · The reverse logarithmic Kodaira inequality and additivity 033-04 · Projective Hodge lines and ordinary Iitaka subadditivity 033-05 · B-semiampleness for compact log-smooth Kähler fibrations 034-01 · Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity 034-02 · Uniform indices for semi-log-canonical log Calabi–Yau pairs 034-03 · Conditional good minimal models for compact Kähler fourfolds 034-04 · Log abundance in characteristic zero 034-05 · Minimal metrics and interior injectivity for nef adjoints 034-06 · Fourfold nonvanishing by minimal metrics and moving jets 034-07 · Lifting sections from the reduced support of an adjoint 034-08 · Schnell fiber spaces and good canonical models 034-09 · Uniform log Iitaka fibrations and bounded moduli denominators 034-10 · Uniform Pluricanonical Iitaka Fibrations 034-11 · Relative denominators and effective systems for log Calabi-Yau fibrations 034-12 · Arithmetic Stein-degree bounds for log Calabi–Yau pairs 034-13 · Uniform effective log Iitaka fibrations for fourfolds 034-14 · Abundance after nonvanishing for compact Kähler fourfolds 035-01 · Log abundance in numerical dimension one for threefolds in positive characteristic 035-02 · Abundance in numerical dimension one for terminal threefolds in positive characteristic 036-01 · Numerical semiampleness of nef adjoint classes on compact Kähler manifolds 036-02 · Numerical Semiampleness of Nef Adjoint Divisors 036-03 · Minimal models and Mori fibre spaces for generalized log canonical Q-pairs 036-04 · Minimal models in numerical dimension one 037-01 · The ordinary-double-point gap in every dimension 037-02 · The normalized-volume gap in dimension four 038-01 · Fujita's freeness conjecture 039-01 · Nagata's conjecture for plane curves 039-02 · Maximal Seshadri constants on arbitrary polarized surfaces 039-03 · Maximal Multipoint Seshadri Constants in Higher Dimensions 039-04 · Maximal multipoint Seshadri constants in positive characteristic 040-01 · Bloch’s conjecture for surfaces with p_g=0 041-01 · Projective-space bases of Lagrangian fibrations 041-02 · The strong hyperkähler SYZ conjecture 042-01 · Every complex K3 surface is Oka 043-01 · P=W in composite rank for fixed determinant 044-01 · The equivariant cohomological Hikita conjecture for arbitrary quivers 046-01 · A projective fourfold with large fundamental group and non-Stein universal cover 046-02 · A surface counterexample to Shafarevich holomorphic convexity 047-01 · An explicit failure of complex affine-space cancellation 048-01 · A singular normal affine surface with free tangent sheaf 049-01 · A stable coordinate that is not a coordinate in four variables 049-02 · An explicit noncoordinate polynomial with affine three-space zero fibre 050-01 · Ample rank-two bundles on the quadric surface without Griffiths-positive metrics 051-01 · Canonical ampleness of compact hyperbolic Kähler manifolds 052-01 · Universal-cover splitting for compact Kähler manifolds 052-02 · Integrability of split tangent bundles on rationally connected manifolds 053-01 · A high-arity counterexample to Pixton completeness in Chow 054-01 · Irrational cubic fourfolds with geometric K3 categories 055-01 · A Gepner stability condition on every smooth quintic threefold 055-02 · Prescribed large-volume charges on threefolds with trivial canonical bundle 056-01 · Termination of generalized log canonical flips on compact Kähler fourfolds 056-02 · Termination of generalized-canonical flips on compact Kähler fourfolds 056-03 · Termination for projective log canonical fourfolds with rational boundary 056-04 · Finite ordinary minimal model programs on compact Kähler fourfolds 056-05 · Finite ordinary minimal model programs on compact Kähler fourfolds 057-01 · The abelianity conjecture for special compact Kähler manifolds 057-02 · Two-step monodromy of special quasi-projective varieties 057-03 · A conditional abelianity theorem for special fourfold pairs with a half-weight divisor 058-01 · Semialgebraic universal covers of normal projective varieties 058-02 · Symmetry of semialgebraic bounded domains with compact quotient 059-01 · Ambiently homeomorphic isolated hypersurfaces of multiplicities two and three 059-02 · Ambiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five 060-01 · Global Spherical Shells on Minimal Surfaces of Class VII 062-01 · Contact Fano manifolds and the LeBrun–Salamon conjecture 063-01 · The generalized Mukai conjecture 064-01 · Topological triviality of mu-constant families of surface singularities 065-01 · Virasoro Constraints under Projectivization 065-02 · Virasoro Constraints for Projective Complete Intersections 066-01 · Bounded klt complements for Fano contractions 066-02 · Uniform Cartier sections for Fano type contractions 067-01 · The Campana–Peternell conjecture in dimension six 068-01 · Anticanonical nonvanishing from smooth semipositivity 068-02 · Invariant anticanonical indices and conversion of twisted differentials 068-03 · Bounded anticanonical metrics on klt pairs and torus quotients 068-04 · Cohomological transfer and equivariant anticanonical sections 068-05 · Metric descent and rank-preserving contractions 068-06 · Integrable metrics and effectivity with controlled boundary 068-07 · Exact orders and invariant anticanonical linear systems 069-01 · Global quantum geometric Langlands at irrational level 071-01 · Removable Boundaries and Rigidity of Circle Domains 071-02 · Koebe's Circle-Domain Conjecture 072-01 · Brennan's conjecture and sharp inverse-square integral means 072-02 · A strict inverse-first-power bound for univalent functions 073-01 · The Falconer distance conjecture in all dimensions 074-01 · The Kakeya maximal conjecture in three dimensions 074-02 · Every four-dimensional Kakeya set has full Hausdorff dimension 075-01 · Almost-everywhere Fourier convergence in L log L 076-01 · Ultraflat real Littlewood polynomials 076-02 · Nearly minimal maxima and positive minima of Littlewood polynomials 076-03 · Asymptotically minimal maxima of real Littlewood polynomials 077-01 · Elliptic capacity propagation and Fourier restriction to the sphere 077-02 · Diagonal Fourier extension for positively curved surfaces in three dimensions 078-01 · Bochner–Riesz multipliers in three dimensions 079-01 · Critical local smoothing for the three-dimensional wave equation 080-01 · Endpoint convergence for the planar Schrodinger equation 080-02 · Endpoint pointwise convergence for the Schrodinger equation in higher dimensions 081-01 · Riesz transforms and uniform rectifiability in higher codimension 082-01 · Annular variation of the triangular Hilbert transform at the symmetric point 082-02 · An L³ bound for the dyadic triangular Hilbert form 082-03 · The maximal triangular Hilbert transform at the symmetric point 083-01 · A uniform Hilbert transform estimate for Lipschitz directions 084-01 · The geometric case of the Erdős similarity conjecture 084-02 · The dyadic case of the Erdős similarity conjecture 085-01 · An Endpoint Gradient Bound for the Centered Disk Maximal Operator 086-01 · An L^3 bound for the trilinear Hilbert transform 087-01 · The symmetric Mahler conjecture and its equality cases 087-02 · The Mahler Conjecture for General Convex Bodies 087-03 · Symplectic Balls in Symmetric Polar Products 088-01 · Petty’s projection-volume conjecture in dimensions at least four 088-02 · A product counterexample to the simplex maximum for projection-body volume 089-01 · Planar Graph Metrics Embed into L1 with Constant Distortion 089-02 · L1 Embeddings of Graphs of Bounded Treewidth 090-01 · An atomic certificate for triangular-lattice universal optimality 090-02 · Universal optimality of the triangular lattice 090-03 · A sharp Fourier certificate for planar circle packing 090-04 · Triangular minimality for planar Coulomb renormalized energy 091-01 · The logarithmic Brunn–Minkowski conjecture 092-01 · A single-lattice covering bound of order n log n 092-02 · Translative covering densities of order n log n 093-01 · A dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures 094-01 · Subpolynomial dimension reduction in Lp 095-01 · Hyperbolicity Cones Without Semidefinite Lifts 095-02 · A nonspectrahedral hyperbolicity cone 095-03 · An Exact Semidefinite Lift of a Nonspectrahedral Hyperbolicity Cone 096-01 · The Gaussian propeller bound in every dimension 097-01 · The Euclidean Steinitz–Bergström theorem 098-01 · A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding 099-01 · Edit Distance in l1: Matching Bounds up to Constants in the Exponent 099-02 · Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance 099-03 · Tree Constructions for the l1 Distortion of Binary Edit Distance 100-01 · Finite angular cylinder covers below the half-area bound 100-02 · Finite cylinder approximation of ruled sets 100-03 · Slope-field perturbations of the two-cylinder covering 100-04 · Finite triangular approximation of radial sweeps 101-01 · A sharp entropy bound and the simplex inequality for isotropic constants 102-01 · The Unique Games Theorem 102-02 · A Direct Proof of Optimal Max-Cut Hardness 102-03 · The Factor-Two Hardness Threshold for Vertex Cover 102-04 · Constant-factor hardness of Min-UnCut 102-05 · Constant-factor hardness of directed feedback vertex set 103-01 · Exact derandomization of logarithmic space: L = RL = BPL 104-01 · Turn-Based Stochastic Mean-Payoff Games in Deterministic Quasipolynomial Time 104-02 · Mean-payoff parity games in quasipolynomial time 104-03 · Deterministic quasipolynomial-time mean-payoff games 104-04 · Randomized quasipolynomial-time mean-payoff games 105-01 · Perfect completeness for 2-to-1 games 106-01 · Hardness of finding large independent sets in three-colorable graphs 107-01 · An Upper Bound of 9/4 for the Matrix Multiplication Exponent 107-02 · Complex Matrix Multiplication Below 2.258 and Rectangular Bounds 107-03 · Staggered extraction for exact matrix multiplication over every field 108-01 · A cubic lower bound for border determinantal complexity of the permanent 109-01 · Integer multiplication below n log n 110-01 · Squared-logarithmic randomized k-server on arbitrary metrics 110-02 · Uniform computation of the squared-logarithmic k-server bound 111-01 · One Sample Suffices for Matroid Prophet Inequalities against an Almighty Adversary 112-01 · Beyond the Square-Root Exponent for Depth-Three Boolean Circuits 113-01 · A Fully Polynomial Randomized Approximation Scheme for Perfect Matchings in General Graphs 113-02 · Entropy and Face Dimension of the Perfect-Matching Polytope 114-01 · An FPRAS for Common Integer Polymatroid Bases with Binary Capacities 114-02 · Approximate counting of common bases of two matroids 115-01 · Exact Uniform Sampling of Contingency Tables with Arbitrary Margins 115-02 · An FPRAS for Cell-Bounded Contingency Tables 116-01 · Uniform Matrix Hitting Points in Every Positive Characteristic 116-02 · One Rational Matrix Hitting Point for Noncommutative Formulas 116-03 · Polynomial Hitting Lists for Noncommutative Rational Formulas 117-01 · Constant-factor hardness of uniform sparsest cut 117-02 · Near-square-root logarithmic integrality gaps for uniform sparsest cut 118-01 · Additive hardness and unbounded configuration gaps in bin packing 119-01 · Sharp binary-information contraction on the discrete cube 119-02 · Hellinger contraction with arbitrary Boolean output bias 120-01 · Almost-Linear-Time Maximum-Cardinality Matching in General Graphs 121-01 · An Almost-Linear Approximation Scheme for Edit Distance 122-01 · Uniform quasipolynomial-time trace reconstruction 122-02 · A latest-anchor induction with spectrally compact masks for worst-case trace reconstruction 122-03 · Quantitative lower bounds for trace reconstruction 124-01 · A Polynomial-Time Algorithm for Three-Machine Unit-Job Scheduling 125-01 · Single-exponential recovery and bounded-price strictness for metric k-median 125-02 · The approximation threshold for metric k-median 126-01 · Exponential PSD rank of positively shifted matching matrices 127-01 · Average sensitivity of polynomial threshold functions 128-01 · A Polynomial-Time 2-Approximation for Shortest Common Superstring 129-01 · An exponential state lower bound for two-way nondeterministic complementation 129-02 · An exponential two-way deterministic state lower bound for one-way liveness 130-01 · An explicit power saving for the exact discrete Fourier transform 130-02 · Finite tensor savings and exact Fourier circuits 131-01 · Polynomial mixing of the switch chain for every graphical degree sequence 132-01 · A superquadratic separation between sensitivity and block sensitivity 133-01 · Parity lifts and bounded-treewidth witnesses for Weisfeiler–Leman equivalence 133-02 · The complexity of identifying a graph by Weisfeiler–Leman refinement 133-03 · Unconditional time lower bounds for Weisfeiler–Leman equivalence 133-04 · Variable-dimension Weisfeiler–Leman equivalence on general and subcubic graphs 134-01 · Finite Monoid Computations and a Uniform Generalized Star-Height Bound 134-02 · Generalized Star Height at Most Four 134-03 · Generalized Star Height at Most Three 135-01 · Homogeneous depth-five lower bounds for iterated matrix multiplication 136-01 · The PCP-for-PPAD conjecture: a quasilinear reduction 137-01 · Simulating One-Tape Time in Two-Fifths-Power Space 138-01 · Subset Sum in Time O(2^{0.49n}) 138-02 · A Low-Space Algorithm for Worst-Case Subset Sum 139-01 · Subpolynomial query complexity for well-conditioned log-concave sampling 140-01 · Memory and precision in noiseless Gaussian regression 140-02 · Posterior replicas and conditional information in Gaussian regression 140-03 · Localization costs and information growth for exact Gaussian observations 140-04 · Projection moments, positive cap domination, and Riesz estimates on the sphere 140-05 · Replacing Gaussian observations in memory-constrained inference 140-06 · Subsphere methods for memory-sample lower bounds in noiseless Gaussian regression 141-01 · Existential–universal real sentences in the counting hierarchy 142-01 · Deterministic Polynomial Factorization over Prime Fields 143-01 · Uniform bounds for planar polynomial limit cycles 143-02 · Two limit cycles for quintic Liénard systems 144-01 · A smooth three-torus diffeomorphism with simple Lebesgue spectrum 145-01 · Rokhlin's multiple-mixing problem for one transformation 146-01 · Positive Metric Entropy for the Standard Map at Large Parameters 147-01 · Continuous Phase Foliations Create Analytic Caustic Collars 147-02 · Rigidity of Smooth Billiards with a Continuous Caustic Collar 148-01 · The entropy-rate dimension formula for self-similar measures on the line 149-01 · Uniform Permanence in Weakly Reversible Mass-Action Systems 149-02 · Boundedness and persistence of weakly reversible mass-action systems 150-01 · Weak mixing of triangular billiards with an irrational angle 150-02 · Ergodicity of triangular billiards with an irrational angle 151-01 · A C^1 Counterexample to the Entropy Conjecture 152-01 · A zero-entropy system without a smooth positive-volume model 153-01 · Arithmetic classification and non-Pisot singularity for Bernoulli convolutions 154-01 · Pointwise Multiple Ergodic Averages for Mixing Transformations 154-02 · Pointwise convergence of fourfold ergodic averages for mixing transformations 154-03 · Triple ergodic averages with distinct integer slopes 154-04 · Pointwise convergence of triple ergodic averages for mixing transformations 155-01 · A translational tile with no fully periodic tiling in dimension three 156-01 · A nine-dimensional counterexample to Borsuk's covering assertion 157-01 · A counterexample to Hadwiger's conjecture 157-02 · A counterexample to the Colin de Verdière chromatic conjecture 157-03 · A linear list-coloring bound in terms of the Hadwiger number 158-01 · The Euclidean plane is not five-colorable 159-01 · Quasipolynomial Bounds for Arithmetic Progressions 160-01 · Quantitative Superexponential Bounds for van der Waerden Numbers 161-01 · A counterexample to Sidorenko's conjecture 162-01 · Balanced counterexamples to Ryser's conjecture at prime orders 162-02 · A counterexample to Ryser's covering conjecture 164-01 · Monochromatic finite sums and products in the positive integers 165-01 · The crossing number of complete graphs 165-02 · The crossing number of complete bipartite graphs 166-01 · The higher-dimensional Erdős distinct-distances conjecture 167-01 · The weak pinned planar distance theorem 167-02 · A power saving for planar unit distances 168-01 · Combinatorial invariance of Kazhdan–Lusztig polynomials 169-01 · Elementary positivity of chromatic quasisymmetric functions 170-01 · The sharp logarithmic exponent of r(5,t) 170-02 · Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers 171-01 · The hypercube Ramsey number has linear order 172-01 · A classification of finite Euclidean Ramsey configurations 173-01 · A proof of Seymour’s second-neighborhood conjecture 174-01 · The strong thin tree conjecture 174-02 · A polynomial-time construction of strong thin trees 175-01 · Graph Decompositions at the Integral Expectation Threshold 175-02 · Integral and fractional expectation thresholds are equivalent 175-03 · Talagrand’s discrete-convexity conjecture 176-01 · The second Kahn–Kalai conjecture 177-01 · Bounded-degree coboundary expanders in every dimension 178-01 · Deterministic nonbipartite Ramanujan graphs in every fixed degree 179-01 · The circulant Hadamard conjecture 180-01 · Paired states and Hamiltonian cycles in cubic bipartite planar graphs 181-01 · A linear cycle-and-edge decomposition of every graph 182-01 · A power saving for intersective polynomial differences with an exponent depending only on the degree 182-02 · A Power Saving for Polynomial Differences at Prime Arguments 182-03 · A power saving for square-difference-free sets 183-01 · A power saving for planar halving lines 184-01 · Correspondence coloring graphs with a forbidden clique 184-02 · A logarithmic independence bound for clique-free graphs 185-01 · A Counterexample to the Infinite Matroid Packing/Covering Conjecture 186-01 · A uniform influence bound for hypergraph properties 186-02 · A Sharp Threshold Bound for Monotone Graph Properties 187-01 · Snaky in 21 Maker moves 188-01 · The sharp terminal leave in random triangle removal 189-01 · Cycle--clique Ramsey numbers 190-01 · Polynomial removal fails for ordered binary matrices 191-01 · A power improvement in the Heilbronn triangle lower bound 192-01 · Unbounded Violations of the Square-Root Degree Bound 193-01 · Positivity of Serre's Intersection Multiplicity 194-01 · Lech's multiplicity conjecture 195-01 · A Complete Local Domain without a Small Cohen–Macaulay Module 196-01 · A Torsion-Free Group Algebra with Zero Divisors 197-01 · A Torsion-Free Group Algebra That Is Not Directly Finite 197-02 · A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Characteristic Two 197-03 · A Counterexample to the Group-Ring Determinant Conjecture 197-04 · A Counterexample to Kaplansky's Direct-Finiteness Conjecture in Odd Characteristic 198-01 · An algebra of infinite little finitistic dimension 199-01 · An explicit counterexample to the Auslander-Reiten conjecture 199-02 · A counterexample to Tachikawa's second conjecture 200-01 · The Artinian Lex-Plus-Powers Betti Theorem 200-02 · Commuting Division-Coefficient Forms and the Artinian Eisenbud--Green--Harris Conjecture 201-01 · A Counterexample to Kurosh’s Division-Ring Problem 202-01 · The Blockwise Alperin Weight Conjecture 203-01 · Donovan's Conjecture over Algebraically Closed Fields 203-02 · Integral Donovan Finiteness over Witt Vectors 204-01 · Tensor saturation for even spin groups 205-01 · Universal Tensor Squares for Symmetric Groups 205-02 · A Cyclic Polytabloid Proof of Saxl's Conjecture 206-01 · Finite congruence lattices: characterization and undecidability 206-02 · A negative solution to the finite lattice representation problem 207-01 · The ℓ¹-Bass Conjecture for Discrete Groups 207-02 · The Bass trace conjecture and the characteristic-zero Kaplansky idempotent conjecture 208-01 · Fiber functors for finite symmetric tensor categories in positive characteristic 209-01 · An integral counterexample to Gersten's conjecture 209-02 · An integral degree-three Gersten counterexample 210-01 · Foulkes' conjecture for the sixth symmetric power 210-02 · Quadratic stabilization of the canonical Foulkes--Howe map 211-01 · Random Walks on Critical FK–Ising Maps and Liouville Brownian Motion 211-02 · Spectral convergence for critical FK–Ising planar maps 211-03 · A Linear Clock for Random Walk on Tree-Weighted Planar Maps 211-04 · Canonical conformal limits of subcritical FK planar maps 211-05 · The critical Liouville quantum sphere and geometric limits of FK maps at q=4 211-06 · Metric-measure limits of subcritical FK and spanning-tree planar maps 211-07 · Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four 212-01 · No bigeodesics in planar first-passage percolation 212-02 · Strict convexity and differentiability of the planar exponential first-passage limit shape 213-01 · Critical bond and site percolation on the cubic lattice 213-02 · No percolation at criticality on quasi-transitive graphs 214-01 · Nonuniqueness of percolation on nonamenable quasi-transitive graphs 215-01 · The canonical massive continuum limit of the two-dimensional O(3) model 215-02 · An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field 215-03 · Exact mass asymptotics for the two-dimensional O(4) lattice model 215-04 · Sharp mass bounds for the two-dimensional O(4) model 215-05 · Exponential decay in two-dimensional classical O(n) models 216-01 · The critical logarithmic correction for the planar XY model 216-02 · Critical Center Magnetization in the Planar XY Model 216-03 · The Critical Spin Field of the Planar XY Model 216-04 · Essential Singularity of the Correlation Length in the Planar XY Model 216-05 · The critical correlation exponent of the planar XY model 216-06 · BKT universality for height and planar spin fields 217-01 · The low-temperature Sherrington–Kirkpatrick free-energy limiting law 217-02 · The low-temperature Sherrington–Kirkpatrick fluctuation scale 218-01 · Quenched SLE₃ limits for general weak random-bond Ising models 218-02 · Quenched SLE₃ Universality for the Weak Random-Bond Ising Model 218-03 · Logarithmic Relative Fluctuations in the Weakly Disordered Planar Ising Model 218-04 · Conformal universality of bulk Ising correlations under weak interactions 218-05 · SLE3 universality for weak finite-range Ising interactions 218-06 · Buffered comparison and stopping-band resolution in critical Ising 219-01 · Fixed-energy universality for weak Anderson disorder on random regular graphs 219-02 · GOE bulk universality for fixed-degree random regular graphs 220-01 · A directional zero–one law for finite-range-dependent random environments 220-02 · A directional zero–one law under strict ellipticity 220-03 · Directional transience implies ballisticity 221-01 · The Mézard–Parisi formula for diluted spin glasses 222-01 · The free energy of the Ising random perceptron 222-02 · Microscopic jamming in the negative spherical perceptron 222-03 · The spherical perceptron with bi-orthogonally invariant disorder 222-04 · The free energy of the spherical random perceptron 223-01 · Square-lattice FK interfaces and nested loops for 1 <= q < 4 223-02 · Self-dual random-cluster interfaces below one 223-03 · Quenched SLE Universality for Weakly Disordered FK–Ising Interfaces 223-04 · Thermal FK–Ising interfaces and massive SLE 223-05 · Natural Occupation Measures for Critical Square-Lattice FK Interfaces 223-06 · Conformal Limits of Critical Square-Lattice Random-Cluster Interfaces 224-01 · From critical crossings to quenched near-critical universality in Voronoi percolation 224-02 · A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula 224-03 · Cardy’s formula for critical Poisson–Voronoi percolation 225-01 · The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2) 226-01 · The curve scaling limit of half-plane double dimers 227-01 · Universality of critical quench autocorrelations in the Sherrington–Kirkpatrick model 227-02 · Functional universality of critical SK autocorrelations 227-03 · A spectral gap throughout the high-temperature Sherrington–Kirkpatrick phase 227-04 · Cutoff throughout the high-temperature Sherrington–Kirkpatrick phase 227-05 · Critical slowing down in the Sherrington–Kirkpatrick model 227-06 · Stretched-exponential barriers for typical SK initial states 227-07 · A typical-start upper bound for low-temperature SK Glauber dynamics 227-08 · Critical mixing in the Sherrington–Kirkpatrick model 228-01 · A continuum temperature singularity for a radial pair potential 228-02 · A radial continuum phase transition with algebraic decay 229-01 · The Reconstruction Threshold for the Ferromagnetic Four-State Potts Model 229-02 · A Capacity Criterion for Four-State Potts Reconstruction on Trees 229-03 · The exact reconstruction threshold for the three-state symmetric channel 230-01 · An exact Hausdorff gauge for SLE 230-02 · An explicit exact Hausdorff gauge for SLE 231-01 · The free uniform spanning forest is a factor of IID 232-01 · Gaussian free-field limits of weighted integer Lipschitz heights 232-02 · The Gaussian free field limit of integer Lipschitz heights with two-arc boundary data 232-03 · Uniform real Lipschitz surfaces on the triangular lattice 233-01 · The joint scaling limit of critical Ashkin-Teller currents 234-01 · All-temperature pressure for orthogonally invariant Ising spin glasses 235-01 · A Limiting Satisfiability Threshold for Every Fixed Clause Size 235-02 · Linear Variance of the Random 3-SAT Hitting Time 235-03 · Variance of the Random k-SAT Hitting Time 235-04 · Computing the Random 3-SAT Threshold 236-01 · The sharp factor-of-IID threshold for the free Ising model on regular trees 237-01 · Radial transfer estimates and polygon length laws for honeycomb walks 237-02 · Critical honeycomb chords with prescribed boundary endpoints 237-03 · Cylinder loop weights and planar nesting 237-04 · Mass and covering exponents for fixed-length honeycomb walks 237-05 · Signed cylinder propagation and marked polygons on the honeycomb lattice 237-06 · Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice 237-07 · Marked polygon correlations and one-arc bounds 237-08 · Disk transfer representations and confined bridge mass 237-09 · Polynomial vacuum representations and bridge mass for honeycomb walks 237-10 · Renewal and changes of law for critical honeycomb walks 237-11 · Critical strip-crossing mass on the honeycomb lattice 237-12 · Uniform marked-polygon estimates and sharp finite bridge moments 237-13 · Cap-selected amplitudes and triangle chords for honeycomb walks 238-01 · Optimal-order mixing of the Thorp shuffle 238-02 · Random coordinate frames and partial permutation laws 238-03 · From partial permutation information to Fourier bounds 238-04 · Conditional information under deterministic coordinate sweeps 238-05 · Conditional permutations in a revealed switching environment 238-06 · Routing densities and representation contraction for Thorp sweeps 238-07 · Row–column symmetry and contraction of coordinate sweeps 238-08 · Random-subspace tests and trace smoothing for coordinate sweeps 238-09 · Compatibility entropy and the spectrum of a Thorp sweep 238-10 · Signed tensor densities and diagram budgets for the Thorp shuffle 238-11 · Conditional coordinate sweeps and analytic transfer 238-12 · A strict four-row permanent inequality and permutation moments 239-01 · The sharp exponential rate of singularity for symmetric Bernoulli matrices 239-02 · The sharp singularity rate for biased symmetric sign matrices 240-01 · A CH obstruction to a prescribed categoricity threshold 240-02 · Eventual categoricity for abstract elementary classes 241-01 · Rigidity of the Turing degrees 242-01 · Single-fold Diophantine representations 243-01 · Choiceless polynomial time with counting does not capture polynomial time 243-02 · Witnessed symmetric choice is strictly stronger than choiceless polynomial time with counting 244-01 · The Partition Principle does not imply Choice 245-01 · Weak and strong normalization in pure type systems 246-01 · A Modulus Proof of Cannon’s Conjecture 247-01 · An infinite finitely presented residually finite 2-group 247-02 · An infinite finitely presented periodic group 248-01 · Thompson's group F is nonamenable 249-01 · A finitely generated counterexample to the Eilenberg–Ganea conjecture 250-01 · Finite algebraic envelopes and the Boone–Higman conjecture 250-02 · Simple F∞ overgroups of groups with decidable word problem 250-03 · A universal group of type F∞ 251-01 · Unitarizability implies amenability for discrete groups 251-02 · Strong Ulam Stability Characterizes Amenability 252-01 · A torsion-free hyperbolic group that is not residually finite 253-01 · An infinite finitely presented simple amenable group 254-01 · Harmonic heights and the Artin K(pi,1) conjecture 254-02 · An Artin group with no geometric CAT(0) action 254-03 · Parabolic intersections in Artin groups 255-01 · Quasi-isometric recognition of virtually polycyclic groups 256-01 · Nonsingular systems of equations over arbitrary groups 256-02 · The Kervaire theorem for groups 257-01 · A hyperbolic group with no geometric CAT(0) action 258-01 · Baumslag-Solitar-free one-relator groups are hyperbolic 258-02 · Virtual compact specialness of hyperbolic one-relator groups 259-01 · A group without fixed price 260-01 · The spacetime Penrose inequality with charge and original-data rigidity 260-02 · A Charged Reduction of the Spacetime Penrose Inequality in Spatial Dimensions at Least Four 260-03 · Spacetime Penrose inequalities: enclosing area, charge, and rigidity 260-04 · The Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors 260-05 · Electromagnetic tails and the Kerr–Newman Penrose inequality 260-06 · The nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity 260-07 · The Penrose inequality for maximal asymptotically hyperbolic initial data 260-08 · A local Penrose inequality for conformal perturbations of Schwarzschild–anti-de Sitter data 260-09 · The spacetime Penrose inequality and enclosing area 260-10 · Conformal flow and the Riemannian Penrose inequality with minimizing frontiers 260-11 · Equality and rigidity in the spacetime Penrose inequality 260-12 · Boundary graph deformations for the spacetime Penrose inequality 260-13 · Area-controlled end replacement and the Bondi Penrose inequality in the CKS class 261-01 · Absolutely Continuous Spectrum for Weak-Disorder Anderson Models in Dimensions at Least Three 261-02 · Pure-Point Spectrum for the Two-Dimensional Anderson Model at Every Positive Disorder 262-01 · Equality cases in the sharp one-dimensional matrix Lieb–Thirring inequality 262-02 · Sharp one-dimensional Lieb–Thirring inequalities for matrix potentials 262-03 · Sharp one-dimensional Lieb–Thirring constants 263-01 · Uniform excess charge for Coulomb molecules and the outer radius of neutral atoms 263-02 · Generalized ionization energies for full Coulomb atoms 263-03 · Generalized outer-electron radii of neutral Coulomb atoms 264-01 · Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime 264-02 · Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes 264-03 · Quantitative Near-Kerr Evolution and Generic C2 Future Inextendibility 265-01 · A two-dimensional area law from a global spectral gap 265-02 · Polynomial PEPS approximation of gapped square-grid ground states 266-01 · The maximum number of mutually unbiased bases in dimension six 266-02 · Exact Fourier certificates for complex Hadamard matrices of order six 267-01 · Bose–Einstein condensation at positive temperature in the dilute hard-sphere gas 267-02 · Quantum Depletion and Momentum Distribution in the Dilute Hard-Sphere Bose Gas 267-03 · Quantum Depletion for Fixed Bounded Repulsive Potentials 267-04 · A density-uniform condensate bound for dilute Bose gases 267-05 · Ground-state condensation in the dilute hard-sphere gas 268-01 · The periodic spin-one Haldane gap 268-02 · A boundary-field gap for the spin-one Heisenberg chain 269-01 · Uniform Stability of the Spherical Laughlin Gap 269-02 · A Fock-space inequality and the Laughlin spectral gap 270-01 · The unique threshold bound state of the SU(N) BFSS model 270-02 · Positive eigenvalues of the relative SU(2) BFSS Hamiltonian 271-01 · Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions 271-02 · The first lattice correction to Bloch's law 271-03 · The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet 271-04 · Spontaneous magnetization in the quantum Heisenberg ferromagnet 272-01 · Entanglement with zero distillable secret key in local dimension ten 273-01 · The entropy photon-number inequality 274-01 · Product-projection localization and the QAC0 parity lower bound 274-02 · Regular trajectories, pruning and quantum parity 275-01 · Continuum Coulomb hardness with binary nuclear charges 275-02 · QMA-hardness of continuum Coulomb energy with unit nuclear charges 276-01 · Classical capacity and entropy inequalities for generalized amplitude damping 277-01 · Threshold parallel repetition for finite-dimensional entangled games 278-01 · A Coulomb ground-state density without Kohn-Sham ensemble representation 279-01 · Exact quantum factoring over a fixed finite gate set 280-01 · Strongly rational unitary vertex operator algebras and conformal nets 281-01 · QAOA attains the SK ground-state energy in the thermodynamic-first limit 281-02 · Full support of the zero-temperature Sherrington-Kirkpatrick order parameter 282-01 · Scale and conformal symmetry in four-dimensional operational quantum field theory 283-01 · Polynomial-Time Unitary Synthesis from a Boolean Oracle 284-01 · A Nearly Quartic Separation Between Randomized and Quantum Query Complexity 285-01 · A torsion-free counterexample to reduced Baum–Connes injectivity 285-02 · A torsion-free counterexample to the Kadison–Kaplansky projection conjecture 285-03 · An irrational-trace counterexample to reduced Baum–Connes 286-01 · Arithmeticity of twisted finite correspondences for lattices over local fields 286-02 · The arithmetic category and stable recovery of lattice factors 287-01 · An isomorphism of the free group factors 288-01 · Kadison's similarity theorem through uniform derivation estimates 289-01 · Universal strong Kadison–Kastler stability 289-02 · Near Inclusions of von Neumann Algebras Without Small Spatial Embeddings 289-03 · Close Separable C*-Algebras Without Spatial Conjugacy 290-01 · Expected amenable subalgebras preserving core commutants 290-02 · Bounded recovery for modular spectral averages 291-01 · Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case 291-02 · Cuntz comparison and Jiang–Su absorption 291-03 · Nuclear dimension and Jiang–Su stability without elementary subquotients 291-04 · Tracial projection methods and uniform property Gamma 292-01 · An explicit obstruction to nuclear norm-ultrapower embeddings 293-01 · Invariant-projection counterexamples for every irrational rotation 293-02 · Backward intertwiners and a transitive commutant 294-01 · A counterexample to Kaplansky's quasitrace conjecture and failure of tensor-product stable finiteness 295-01 · Vanishing of higher bounded Hochschild cohomology 296-01 · Relative generation and the generator problem for finite factors 297-01 · A counterexample to Naimark's problem in ZFC 298-01 · A finite-entropy separation of microstates and nonmicrostates free entropy 299-01 · The Kirchberg–Rørdam character criterion 300-01 · Approximation Paving over Arbitrary Maximal Abelian Subalgebras 300-02 · Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras 301-01 · The trace cone classifies Razak–Jacelon stabilizations 302-01 · Filtered products and boundary-preserving compression in complex cobordism 302-02 · Radius of comparison equals half the mean dimension 303-01 · Weak pure infiniteness and O-infinity absorption 304-01 · The Hilbert–Smith conjecture in every finite dimension 305-01 · A boundary-only obstruction to four-dimensional disk embedding 305-02 · A marked tensor obstruction to four-dimensional disk embedding 305-03 · A PD4 group without an aspherical manifold model 306-01 · Purely cosmetic surgery on knots in the three-sphere 307-01 · Failure of rational injectivity for maximal coarse assembly 307-02 · A counterexample to the coarse Novikov conjecture 308-01 · Finite Smith–Toda Complexes at Varying Primes 308-02 · A finite Smith–Toda complex V(4) at the prime 1009 309-01 · The Kervaire invariant problem at the prime three 310-01 · Rational homology and Quillen's conjecture 311-01 · Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra 312-01 · The Grothendieck homotopy hypothesis via elementary expansions 313-01 · Finite generation for the K(n)-local sphere 314-01 · Cyclic length and chromatic fixed-point loss 315-01 · The Singer conjecture in dimension four 316-01 · The Stable Hurewicz Image of the Sphere at Two 317-01 · Thomason Model Structures in Every Strict Higher Dimension 318-01 · Filtered chromatic splitting at generic primes 318-02 · The height-three chromatic overlap: an explicit filtration and its attachments 318-03 · A rational obstruction to strong chromatic splitting at height three 318-04 · Failure of finite assembly for a chromatic overlap at the prime three 318-05 · Counterexamples to weak chromatic splitting: sphere kernels and descent exponents 319-01 · Counterexamples to the Hahn-Wilson conjecture at height two 320-01 · Nonhomeomorphic closed aspherical four-manifolds with the same homotopy type 321-01 · A Counterexample to Wall's D(2) Problem 322-01 · A positive solution to Tingley’s problem 323-01 · Relative independence of the separable quotient problem 324-01 · Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic 324-02 · Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0 325-01 · A direct proof of the complete Crouzeix inequality 325-02 · The complete Crouzeix theorem: optimal similarity and a common positive boundary representation 326-01 · The cotype–cotype conjecture under the approximation property 327-01 · Nontrivial Markov Type Forces Superreflexivity 328-01 · Fixed Points of Nonexpansive Maps in Reflexive Banach Spaces 329-01 · Counterexamples to the duality conjecture for metric entropy 330-01 · A uniformly discrete counterexample to bounded approximation in Lipschitz-free spaces 331-01 · Asymptotic midpoint uniform convexity and unbounded diamond distortion in a reflexive tree space 331-02 · Midpoint lenses in segment spaces 331-03 · Distortion of countably branching diamonds from midpoint and tree energies 331-04 · Exact asymptotic moduli in a Daugavet subspace of L1 331-05 · Midpoint convexity from bounded tree potentials and path costs 331-06 · Independent products in real L1: asymptotic midpoint convexity without AUC renormings 331-07 · Midpoint convexity from two recursive potentials 332-01 · Metric Markov Cotype Two of ℓ_1 333-01 · Smooth isometric immersions of closed surfaces into Euclidean four-space 334-01 · A Smooth Metric with No Local Isometric Immersion into Three-Space 335-01 · An integral scalar curvature bound for real simplicial volume 335-02 · Positive scalar curvature forces rational inessentiality 336-01 · Spectral scalar curvature and uniform Urysohn width 336-02 · Spectral scalar curvature and Urysohn width in dimension three 336-03 · Positive scalar curvature and uniform codimension-two width 337-01 · Generalized Cartan–Hadamard isoperimetry and Euclidean equality rigidity 337-02 · Sharp integral fillings in CAT(0) spaces 338-01 · Uniformization of complete Kähler manifolds with positive bisectional curvature 339-01 · Entropy equality and local symmetry in negative curvature 340-01 · A counterexample to the nearby Lagrangian conjecture 341-01 · Deforming hypersymplectic four-manifolds to hyperkähler triples 342-01 · Taming implies compatibility on four-manifolds 343-01 · Symplectic Ball Packings in Higher Dimensions 344-01 · The metric Blaschke theorem 345-01 · Infinitely many closed geodesic images on every Riemannian sphere 346-01 · A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold 346-02 · Almost-everywhere regularity of stationary integral varifolds 347-01 · Hamiltonian Fixed Points Below the Stable Morse Number in Dimension Twenty-Two 347-02 · Sharpness of the Cyclic Integral Floer Bound Below the Stable Morse Number 347-03 · Hamiltonian Fixed Points Below the Stable Morse Number 347-04 · A nondegenerate counterexample to the Morse-number Arnold bound 347-05 · Three fixed points on the symplectic quadric threefold 348-01 · Zero-Plane Rigidity for Einstein Four-Manifolds 348-02 · An L² Einstein Gap for Nonnegatively Curved Four-Manifolds 348-03 · Positively curved Einstein four-manifolds 349-01 · The Solomon–Yau least-volume theorem 350-01 · Sharp nodal length on smooth surfaces 350-02 · Smooth counterexamples to Yau's nodal upper bound in dimensions three and four 350-03 · Power-law violations of Yau's nodal upper bound 351-01 · A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup 351-02 · Bounded scalar curvature and smooth extension of four-dimensional Ricci flow 351-03 · Path selection and an elliptic inequality on degenerating Ricci-flat trees 352-01 · A finite-time singularity of Calabi flow on projective space 353-01 · A Smooth Nonquadratic Entire Affine Maximal Graph in Dimension Ten 353-02 · The affine Bernstein theorem in dimensions three through nine 354-01 · The Isoperimetric Conjecture for the Cubic Flat Three-Torus 355-01 · Uniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow 356-01 · Gigli’s distributional curvature characterization of Alexandrov spaces 356-02 · Weak Hessian bounds along every geodesic in RCD spaces 357-01 · Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces 358-01 · A Three-Manifold Without Conjugate Points and Without a Nonpositively Curved Metric 359-01 · A negatively pinched Kähler threefold without bounded holomorphic coordinates 359-02 · One-sided negative sectional curvature and the holomorphic Liouville property 360-01 · Global Support and Convex Injectivity Domains under Weak MTW 360-02 · Uniform Bi-Holder Transport from Weak MTW 361-01 · A counterexample to integer-degree harmonic dimension comparison 361-02 · A Three-Dimensional Counterexample to Integer-Degree Harmonic Dimension Comparison 362-01 · Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system 363-01 · Nonuniqueness with local conservation for the hard-sphere Boltzmann equation 363-02 · Nonuniqueness for the periodic hard-sphere Boltzmann equation 364-01 · The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals 364-02 · Hard-sphere fluctuations on the regular Boltzmann lifespan 365-01 · Determination of a metric and a unitary connection from one boundary patch 365-02 · Smooth anisotropic uniqueness in the Calderón problem from one boundary patch 365-03 · Nonuniqueness for bounded measurable scalar conductivities in three dimensions 366-01 · Interior regularity of planar Mumford–Shah minimizers 367-01 · The critical dimension for one-phase Bernoulli minimizers 368-01 · Strong diffeomorphic approximation in three dimensions for 1≤p≤2 368-02 · Strong diffeomorphic approximation in three dimensions for p>2 369-01 · Strict hot spots and absence of interior critical points on smooth simply connected planar domains 370-01 · The Subcritical Hénon–Lane–Emden Conjecture 371-01 · Stable self-similar blowup for a supercritical defocusing Schrödinger equation on the torus 372-01 · Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem 373-01 · A counterexample to the Monge ansatz for the three-marginal Coulomb cost 374-01 · Sharp One-Third Stability of Brenier Maps 375-01 · A positive resolution of De Giorgi's conjecture in dimension eight 376-01 · Finite Instructions and Solenoidal Shear Flows 376-02 · A Fixed Particle Test for Computation in a Forced Viscous Flow 376-03 · Universal Computation with Eventually Stationary Navier–Stokes Forcing 376-04 · Geometric Programs for Solenoidal Forcing 376-05 · Prefix Instructions and Incompressible Flows 376-06 · Computation under Rapidly Vanishing Navier–Stokes Forcing 376-07 · Velocity-Field Detection of Computation in Forced Navier–Stokes Flows 376-08 · Scalar Potentials and Slow Clocks for Forced Fluid Computation 376-09 · Incompressible Box Transport and Finite Computation 377-01 · Uniform Interior C^{1,\alpha} Estimates for Infinity-Harmonic Functions w-001 · Algebraicity of Kuga Satake Correspondences for K3 Surfaces w-002 · Algebraicity of Weil classes on split abelian eightfolds w-003 · The rational Hodge conjecture for products of K3 surfaces e-001 · A pointwise 2 converse for elliptic curves with rational two torsion e-002 · Abelian covers Gale correspondences and the Hodge conjecture for powers e-003 · Conditional good minimal models for compact Kahler fourfolds e-004 · Deforming hypersymplectic four manifolds to hyperkahler triples e-005 · Exact Birch Swinnerton Dyer Formula from Low Selmer Corank e-006 · Finite ordinary minimal model programs on compact Kahler fourfolds e-007 · Fontaine Mazur modularity at the prime 2 e-008 · Gaussian free field limits of weighted integer Lipschitz heights e-009 · Goldfelds analytic density conjecture and the 2 converse for elliptic curves e-010 · Hilberts tenth problem over the rational numbers e-011 · Incompressible Box Transport and Finite Computation e-012 · Log abundance for compact Kahler spaces under logarithmic Iitaka subadditivity e-013 · Milnes rationality conjecture for abelian varieties e-014 · Numerical semiampleness of nef adjoint classes on compact Kahler manifolds e-015 · Taming implies compatibility on four manifolds e-016 · Termination of generalized canonical flips on compact Kahler fourfolds e-017 · Termination of generalized log canonical flips on compact Kahler fourfolds e-018 · The Gaussian free field limit of integer Lipschitz heights with two arc boundary data e-019 · The Selmer converse for elliptic curves at every prime e-020 · The joint scaling limit of critical Ashkin Teller currents e-021 · The mean analytic rank of quadratic twists of elliptic curves e-022 · The p adic section conjecture e-023 · The rational Hodge conjecture for CM abelian varieties e-024 · The two primary Birch Swinnerton Dyer formula in Selmer corank at most one e-025 · Uniform real Lipschitz surfaces on the triangular lattice e-026 · Unrestricted pro modularity at the prime two e-027 · Weil classes and Hodge classes on abelian powers OpenAI · 338-01 · 2026-09-23 · Differential geometry
Uniformization of complete Kähler manifolds with positive bisectional curvature preprints/Uniformization-of-complete-Kahler-manifolds-with-positive-bisectional-curvature-September-23-2026
Family 338. Yau's uniformization conjecture.
The authors are OpenAI. This companion does not verify the proof and does not adopt it as a theorem of Ngo Cheung’s series. It is not a premise. O.1 stays NOT_CLOSED. Anti-de Sitter results are not a de Sitter state, not Em02-E’s relational lapse, not XVI-P’s QdS scheme, and not XVI-Q’s sigma-image record. No quantum coefficient is admitted. No compilation is asserted.
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Proves Yau's uniformization conjecture: every complete connected noncompact Kähler manifold with strictly positive holomorphic bisectional curvature is biholomorphic to C n
We prove that every complete connected noncompact Kähler manifold with strictly positive holomorphic bisectional curvature is biholomorphic to complex Euclidean space. This resolves Yau's uniformization conjecture positively in every complex dimension.
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