| Result |
Area |
Follow-ups |
Research |
Formalizations |
Reviews and verifications |
Critiques and corrections |
Catalogue, citations and exposition |
Latest entry
|
| The quasi-Riemann hypothesis |
Number theory |
62 |
43 |
3 |
8 |
0 |
8 |
2026-10-28
|
| Uniform exclusion of Landau–Siegel zeros |
Number theory |
28 |
15 |
0 |
7 |
0 |
6 |
2026-10-26
|
| Matrix multiplication with exponent at most 9/4 |
Algebraic complexity |
24 |
13 |
0 |
2 |
0 |
9 |
2026-10-27
|
| The Exponential Time Hypothesis |
Computational complexity |
23 |
8 |
0 |
9 |
0 |
6 |
2026-10-28
|
| The Euclidean plane is not five-colorable |
Discrete geometry |
19 |
9 |
0 |
1 |
1 |
8 |
2026-10-17
|
| The Unique Games Conjecture |
Computational complexity |
17 |
6 |
1 |
3 |
0 |
7 |
2026-10-29
|
| Integer multiplication below n log n |
Algorithms |
17 |
10 |
0 |
1 |
0 |
6 |
2026-10-24
|
| The irrationality exponent of π is 2 |
Number theory |
17 |
11 |
0 |
2 |
0 |
4 |
2026-10-23
|
| Classification of finite Euclidean Ramsey configurations |
Discrete geometry |
16 |
8 |
0 |
2 |
0 |
6 |
2026-10-23
|
| Prime-factor statistics of p − 1 |
Number theory |
15 |
6 |
2 |
3 |
0 |
4 |
2026-10-30
|
| The Erdős unit distance and pinned distance problems |
Discrete geometry |
15 |
2 |
0 |
6 |
0 |
7 |
2026-10-18
|
| The Snaky achievement game |
Combinatorics |
14 |
6 |
0 |
6 |
0 |
2 |
2026-10-30
|
| The rational Hodge conjecture for CM abelian varieties |
Algebraic geometry |
14 |
6 |
0 |
2 |
4 |
2 |
2026-10-28
|
| The Mahler conjectures |
Convex geometry |
14 |
4 |
0 |
3 |
0 |
7 |
2026-10-25
|
| Sidorenko's conjecture |
Combinatorics |
14 |
5 |
0 |
5 |
0 |
4 |
2026-10-24
|
| Derandomization of logarithmic space |
Computational complexity |
14 |
1 |
0 |
4 |
1 |
8 |
2026-10-20
|
| Exact Fourier transforms below n log n |
Algorithms |
14 |
9 |
0 |
2 |
0 |
3 |
2026-10-17
|
| Primitive roots for every admissible integer base |
Number theory |
13 |
7 |
1 |
2 |
0 |
3 |
2026-10-30
|
| Irrationality of Catalan's constant |
Number theory |
13 |
6 |
0 |
3 |
0 |
4 |
2026-10-29
|
| Mutually unbiased bases in dimension six |
Quantum information |
13 |
5 |
0 |
4 |
1 |
3 |
2026-10-29
|
| Sharp Hölder stability of Brenier maps |
Partial differential equations |
13 |
5 |
0 |
4 |
1 |
3 |
2026-10-28
|
| Kaplansky's direct-finiteness conjecture |
Group theory |
13 |
5 |
0 |
3 |
0 |
5 |
2026-10-27
|
| The Lane–Emden conjecture |
Partial differential equations |
13 |
7 |
0 |
3 |
0 |
3 |
2026-10-22
|
| Rapid mixing of the switch chain for every degree sequence |
Algorithms |
13 |
5 |
0 |
5 |
0 |
3 |
2026-10-19
|
| Hadwiger's conjecture |
Combinatorics |
13 |
5 |
1 |
2 |
0 |
5 |
2026-10-16
|
| The Erdős similarity conjecture |
Real analysis |
12 |
5 |
0 |
3 |
0 |
4 |
2026-10-30
|
| The Harary–Hill and Zarankiewicz crossing-number conjectures |
Combinatorics |
12 |
3 |
0 |
3 |
0 |
6 |
2026-10-27
|
| The Erdős–Hall question on totient values |
Number theory |
12 |
2 |
0 |
5 |
0 |
5 |
2026-10-21
|
| Thompson's group F is nonamenable |
Group theory |
12 |
5 |
0 |
1 |
0 |
6 |
2026-10-20
|
| Erdős's conjecture on arithmetic progressions |
Combinatorics |
12 |
1 |
0 |
5 |
0 |
6 |
2026-10-16
|
| Superexponential growth of van der Waerden numbers |
Combinatorics |
12 |
1 |
0 |
4 |
0 |
7 |
2026-10-16
|
| The two-point Chowla conjecture |
Number theory |
11 |
3 |
0 |
4 |
0 |
4 |
2026-10-27
|
| Uniform bounds for limit cycles in Hilbert's sixteenth problem |
Dynamical systems |
11 |
2 |
0 |
4 |
0 |
5 |
2026-10-27
|
| The Falconer distance conjecture |
Harmonic analysis |
11 |
6 |
0 |
3 |
0 |
2 |
2026-10-26
|
| A quadratic bound for Jacobsthal's function |
Number theory |
11 |
3 |
0 |
3 |
0 |
5 |
2026-10-23
|
| The Auslander–Reiten conjecture |
Representation theory of algebras |
11 |
5 |
0 |
4 |
0 |
2 |
2026-10-23
|
| Heilbronn's triangle problem |
Discrete geometry |
11 |
2 |
0 |
5 |
0 |
4 |
2026-10-22
|
| Largest prime factors of consecutive integers |
Number theory |
11 |
2 |
0 |
5 |
0 |
4 |
2026-10-22
|
| Permanence of weakly reversible mass-action systems |
Dynamical systems |
11 |
6 |
0 |
3 |
0 |
2 |
2026-10-22
|
| Pure-point spectrum of the two-dimensional Anderson model |
Mathematical physics |
11 |
1 |
1 |
5 |
0 |
4 |
2026-10-20
|
| The logarithmic exponent of off-diagonal Ramsey numbers |
Combinatorics |
11 |
3 |
0 |
5 |
0 |
3 |
2026-10-20
|
| The Hilbert–Smith conjecture |
Geometric topology |
11 |
3 |
2 |
2 |
0 |
4 |
2026-10-18
|
| Cylinder coverings below the half-area bound |
Discrete geometry |
10 |
4 |
0 |
4 |
0 |
2 |
2026-10-30
|
| Universal computation in forced Navier–Stokes flows |
Partial differential equations |
10 |
2 |
0 |
5 |
0 |
3 |
2026-10-29
|
| Worst-case Subset Sum below the meet-in-the-middle bound |
Computational complexity |
10 |
5 |
0 |
2 |
0 |
3 |
2026-10-28
|
| The Gotsman–Linial conjecture |
Computational complexity |
10 |
4 |
0 |
3 |
0 |
3 |
2026-10-26
|
| The hot spots conjecture for simply connected planar domains |
Partial differential equations |
10 |
5 |
0 |
1 |
0 |
4 |
2026-10-26
|
| Universal optimality of the triangular lattice |
Discrete geometry |
10 |
2 |
0 |
4 |
0 |
4 |
2026-10-26
|
| The generalized Lax conjecture |
Convex geometry |
10 |
1 |
0 |
5 |
0 |
4 |
2026-10-25
|
| Donaldson's tamed-to-compatible conjecture |
Differential geometry |
10 |
0 |
0 |
7 |
0 |
3 |
2026-10-24
|
| Depth-three circuit lower bounds beyond the square-root exponent |
Computational complexity |
10 |
3 |
0 |
3 |
0 |
4 |
2026-10-22
|
| The Gaussian moat problem |
Number theory |
10 |
3 |
0 |
2 |
0 |
5 |
2026-10-22
|
| Erdős's conjecture on short Egyptian fractions |
Number theory |
10 |
1 |
0 |
4 |
0 |
5 |
2026-10-21
|
| Positive lower density of large prime gaps |
Number theory |
10 |
1 |
0 |
4 |
0 |
5 |
2026-10-21
|
| The Ajtai–Erdős–Komlós–Szemerédi independence conjecture |
Combinatorics |
10 |
1 |
0 |
5 |
0 |
4 |
2026-10-21
|
| The Benjamini–Schramm percolation conjectures |
Probability |
10 |
0 |
0 |
3 |
0 |
7 |
2026-10-21
|
| The generator problem for von Neumann algebras |
Operator algebras |
10 |
2 |
0 |
3 |
0 |
5 |
2026-10-21
|
| Borsuk's conjecture |
Discrete geometry |
10 |
1 |
0 |
2 |
0 |
7 |
2026-10-20
|
| Ultraflat real Littlewood polynomials |
Harmonic analysis |
10 |
3 |
0 |
3 |
0 |
4 |
2026-10-16
|
| Monochromatic finite sums and products in the positive integers |
Combinatorics |
9 |
0 |
2 |
3 |
0 |
4 |
2026-10-30
|
| The strong isotropic constant conjecture |
Convex geometry |
9 |
3 |
0 |
3 |
0 |
3 |
2026-10-30
|
| The little finitistic dimension conjecture |
Representation theory of algebras |
9 |
6 |
0 |
1 |
0 |
2 |
2026-10-28
|
| Squarefree values of quartics and power-free values of polynomials |
Number theory |
9 |
1 |
0 |
5 |
0 |
3 |
2026-10-27
|
| The Baum–Connes and Kadison–Kaplansky conjectures |
Operator algebras |
9 |
1 |
0 |
3 |
0 |
5 |
2026-10-27
|
| The combinatorial invariance conjecture for Kazhdan–Lusztig polynomials |
Algebra |
9 |
2 |
0 |
4 |
0 |
3 |
2026-10-27
|
| The spin-one Haldane gap |
Mathematical physics |
9 |
4 |
0 |
2 |
0 |
3 |
2026-10-27
|
| The Gaussian propeller conjecture |
Probability |
9 |
3 |
0 |
2 |
0 |
4 |
2026-10-26
|
| Mean-payoff games in quasipolynomial time |
Algorithms |
9 |
1 |
0 |
4 |
0 |
4 |
2026-10-22
|
| The Birch and Swinnerton-Dyer formula in low Selmer corank |
Number theory |
9 |
5 |
0 |
2 |
0 |
2 |
2026-10-22
|
| Barnette's conjecture |
Combinatorics |
9 |
1 |
0 |
2 |
0 |
6 |
2026-10-21
|
| The circulant Hadamard conjecture |
Combinatorics |
9 |
0 |
0 |
3 |
0 |
6 |
2026-10-21
|
| Approximate counting and entropy of perfect matchings |
Algorithms |
9 |
1 |
0 |
6 |
0 |
2 |
2026-10-19
|
| One-sample matroid prophet inequalities |
Algorithms |
9 |
2 |
0 |
4 |
0 |
3 |
2026-10-19
|
| The affine Bernstein problem |
Differential geometry |
9 |
1 |
0 |
4 |
0 |
4 |
2026-10-19
|
| The triangular Hilbert transform at the symmetric point |
Harmonic analysis |
9 |
3 |
0 |
3 |
0 |
3 |
2026-10-19
|
| Naimark's problem |
Operator algebras |
9 |
0 |
0 |
4 |
1 |
4 |
2026-10-18
|
| The Toms–Winter conjecture |
Operator algebras |
9 |
2 |
0 |
4 |
0 |
3 |
2026-10-18
|
| The complete Crouzeix conjecture |
Functional analysis |
9 |
1 |
0 |
3 |
0 |
5 |
2026-10-18
|
| The hyperinvariant subspace problem |
Functional analysis |
9 |
0 |
0 |
4 |
0 |
5 |
2026-10-18
|
| A factor-two approximation for shortest common superstring |
Algorithms |
9 |
2 |
4 |
0 |
0 |
3 |
2026-10-17
|
| Petty's projection-volume conjecture |
Convex geometry |
9 |
3 |
0 |
3 |
0 |
3 |
2026-10-17
|
| Reconstruction thresholds for Potts broadcasting on trees |
Probability |
9 |
2 |
0 |
5 |
0 |
2 |
2026-10-17
|
| Saxl's conjecture and the tensor square conjecture |
Combinatorics |
9 |
1 |
1 |
5 |
1 |
1 |
2026-10-17
|
| The finitely presented Burnside problem |
Group theory |
9 |
2 |
0 |
4 |
0 |
3 |
2026-10-17
|
| Approximate counting of common bases of two matroids |
Algorithms |
9 |
1 |
0 |
6 |
0 |
2 |
2026-10-16
|
| Hardness of coloring three-colorable graphs |
Computational complexity |
9 |
2 |
0 |
3 |
0 |
4 |
2026-10-16
|
| Sampling and counting contingency tables |
Algorithms |
9 |
2 |
0 |
5 |
0 |
2 |
2026-10-16
|
| The Gopalan–Servedio square-root degree conjecture |
Computational complexity |
9 |
1 |
0 |
5 |
0 |
3 |
2026-10-16
|
| The 2-to-1 Games Conjecture |
Computational complexity |
9 |
1 |
0 |
3 |
0 |
5 |
2026-10-15
|
| The Kakeya conjecture in three and four dimensions |
Harmonic analysis |
8 |
1 |
0 |
3 |
0 |
4 |
2026-10-30
|
| The hypercube Ramsey number has linear order |
Combinatorics |
8 |
0 |
1 |
3 |
0 |
4 |
2026-10-30
|
| Glauber dynamics of the Sherrington–Kirkpatrick model |
Probability |
8 |
2 |
0 |
4 |
0 |
2 |
2026-10-28
|
| Scheduling unit jobs with precedence constraints on three machines |
Algorithms |
8 |
0 |
0 |
4 |
1 |
3 |
2026-10-27
|
| Cannon's conjecture |
Geometric topology |
8 |
2 |
0 |
4 |
0 |
2 |
2026-10-26
|
| Mass generation in two-dimensional O(n) models |
Mathematical physics |
8 |
2 |
0 |
3 |
0 |
3 |
2026-10-23
|
| Wall's D(2) problem |
Homotopy theory |
8 |
2 |
1 |
2 |
0 |
3 |
2026-10-23
|
| Bose–Einstein condensation in the dilute Bose gas |
Mathematical physics |
8 |
1 |
0 |
4 |
0 |
3 |
2026-10-22
|
| Kaplansky's quasitrace conjecture |
Operator algebras |
8 |
1 |
0 |
3 |
0 |
4 |
2026-10-21
|
| Nagata's conjecture on plane curves |
Algebraic geometry |
8 |
2 |
0 |
4 |
0 |
2 |
2026-10-21
|
| The Erdős–Gallai cycle-decomposition conjecture |
Combinatorics |
8 |
2 |
0 |
2 |
0 |
4 |
2026-10-20
|
| The Kirchberg–Rørdam character criterion for Jiang–Su stability |
Operator algebras |
8 |
1 |
0 |
4 |
0 |
3 |
2026-10-20
|
| Sensitivity versus block sensitivity |
Computational complexity |
8 |
4 |
0 |
0 |
0 |
4 |
2026-10-19
|
| Stable blowup for the defocusing nonlinear Schrödinger equation |
Partial differential equations |
8 |
0 |
0 |
4 |
1 |
3 |
2026-10-19
|
| The Laughlin spectral gap |
Mathematical physics |
8 |
5 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The anisotropic Calderón problem |
Partial differential equations |
8 |
1 |
0 |
4 |
0 |
3 |
2026-10-19
|
| Connes' bicentralizer problem |
Operator algebras |
8 |
1 |
0 |
3 |
0 |
4 |
2026-10-18
|
| Bigeodesics in planar first-passage percolation |
Probability |
8 |
0 |
0 |
4 |
0 |
4 |
2026-10-17
|
| Foulkes' conjecture |
Algebra |
8 |
0 |
0 |
6 |
0 |
2 |
2026-10-17
|
| The Bass trace conjecture |
Group theory |
8 |
2 |
0 |
4 |
0 |
2 |
2026-10-17
|
| Bounded-degree coboundary expanders |
Combinatorics |
8 |
0 |
0 |
4 |
0 |
4 |
2026-10-16
|
| Lech's multiplicity conjecture |
Algebra |
8 |
2 |
0 |
4 |
0 |
2 |
2026-10-16
|
| Polynomial removal for ordered binary matrices |
Combinatorics |
8 |
4 |
0 |
1 |
0 |
3 |
2026-10-16
|
| Power-saving bounds for square-difference-free sets |
Combinatorics |
8 |
2 |
0 |
3 |
0 |
3 |
2026-10-16
|
| Talagrand's expectation-threshold and discrete-convexity conjectures |
Combinatorics |
8 |
0 |
0 |
4 |
0 |
4 |
2026-10-16
|
| The Friedgut–Kalai sharp-threshold conjecture |
Probability |
8 |
0 |
0 |
4 |
0 |
4 |
2026-10-16
|
| The optimal order of convex-body covering density |
Convex geometry |
8 |
1 |
0 |
4 |
0 |
3 |
2026-10-16
|
| The periodic tiling conjecture in dimension three |
Discrete geometry |
8 |
2 |
0 |
0 |
0 |
6 |
2026-10-16
|
| The logarithmic Brunn–Minkowski conjecture |
Convex geometry |
8 |
1 |
0 |
2 |
0 |
5 |
2026-10-15
|
| Hilbert's tenth problem over the rational numbers |
Number theory |
7 |
1 |
1 |
2 |
0 |
3 |
2026-10-30
|
| Endpoint Sobolev regularity of the centered maximal function |
Harmonic analysis |
7 |
2 |
0 |
2 |
0 |
3 |
2026-10-27
|
| The Barendregt–Geuvers–Klop conjecture |
Mathematical logic |
7 |
2 |
0 |
4 |
0 |
1 |
2026-10-27
|
| Deterministic polynomial factorization over prime fields |
Algorithms |
7 |
3 |
0 |
1 |
0 |
3 |
2026-10-26
|
| The David–Semmes problem in higher codimension |
Harmonic analysis |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-26
|
| Koebe's circle-domain conjecture |
Complex analysis |
7 |
0 |
0 |
5 |
0 |
2 |
2026-10-25
|
| Ostmann's inverse Goldbach conjecture |
Number theory |
7 |
1 |
0 |
2 |
0 |
4 |
2026-10-23
|
| Tingley's problem |
Functional analysis |
7 |
2 |
0 |
0 |
0 |
5 |
2026-10-23
|
| The unitary synthesis problem |
Quantum information |
7 |
3 |
0 |
1 |
0 |
3 |
2026-10-22
|
| Equality of microstates and nonmicrostates free entropy |
Operator algebras |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-21
|
| Yau's nodal conjecture for smooth metrics |
Differential geometry |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-20
|
| Elementary positivity of chromatic quasisymmetric functions |
Combinatorics |
7 |
1 |
0 |
5 |
0 |
1 |
2026-10-19
|
| Global classical solutions of the relativistic Vlasov–Maxwell system |
Partial differential equations |
7 |
0 |
0 |
2 |
0 |
5 |
2026-10-19
|
| Strong forms of the Arnold conjecture |
Differential geometry |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-19
|
| The Cartan–Hadamard isoperimetric conjecture |
Differential geometry |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-19
|
| The Monge ansatz for the three-marginal Coulomb cost |
Mathematical physics |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-19
|
| Uniqueness of renormalized solutions of the hard-sphere Boltzmann equation |
Partial differential equations |
7 |
0 |
0 |
3 |
0 |
4 |
2026-10-19
|
| Yau's harmonic dimension comparison problem |
Differential geometry |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-19
|
| Classical capacity of generalized amplitude damping |
Quantum information |
7 |
2 |
0 |
1 |
0 |
4 |
2026-10-18
|
| Entanglement without secret key and the PPT-squared conjecture |
Quantum information |
7 |
0 |
0 |
5 |
0 |
2 |
2026-10-18
|
| Exact quantum factoring |
Algorithms |
7 |
0 |
0 |
3 |
0 |
4 |
2026-10-18
|
| Isomorphism of the free group factors |
Operator algebras |
7 |
1 |
0 |
2 |
0 |
4 |
2026-10-18
|
| Kalton's bounded approximation question for Lipschitz-free spaces |
Functional analysis |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-18
|
| The cotype–cotype conjecture under the approximation property |
Functional analysis |
7 |
0 |
0 |
3 |
0 |
4 |
2026-10-18
|
| Thomason model structures on strict higher categories |
Homotopy theory |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-18
|
| Threshold parallel repetition for entangled games |
Quantum information |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-18
|
| Optimal mixing of the Thorp shuffle |
Probability |
7 |
3 |
0 |
1 |
1 |
2 |
2026-10-17
|
| Scaling limits of critical Fortuin–Kasteleyn planar maps |
Probability |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-17
|
| The Boone–Higman conjecture |
Group theory |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-17
|
| The Kervaire conjecture |
Group theory |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-17
|
| The area law for gapped ground states in two dimensions |
Mathematical physics |
7 |
1 |
2 |
1 |
0 |
3 |
2026-10-17
|
| The one-dimensional Lieb–Thirring conjecture |
Mathematical physics |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-17
|
| A cubic lower bound for the permanent versus the determinant |
Algebraic complexity |
7 |
2 |
0 |
3 |
0 |
2 |
2026-10-16
|
| Exponential semidefinite complexity of perfect matching |
Computational complexity |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-16
|
| Homogeneous depth-five lower bounds for iterated matrix multiplication |
Algebraic complexity |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-16
|
| Kaplansky's zero-divisor conjecture |
Group theory |
7 |
3 |
0 |
1 |
0 |
3 |
2026-10-16
|
| Rokhlin's multiple-mixing problem |
Dynamical systems |
7 |
0 |
0 |
4 |
1 |
2 |
2026-10-16
|
| Ryser's covering conjecture |
Combinatorics |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-16
|
| Sinai's positive metric entropy conjecture for the standard map |
Dynamical systems |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-16
|
| The entropy-rate dimension formula for self-similar measures |
Dynamical systems |
7 |
2 |
0 |
2 |
0 |
3 |
2026-10-16
|
| The higher-dimensional Erdős distinct-distances conjecture |
Discrete geometry |
7 |
0 |
1 |
2 |
0 |
4 |
2026-10-16
|
| The infinite matroid intersection and packing/covering conjectures |
Combinatorics |
7 |
0 |
0 |
4 |
0 |
3 |
2026-10-16
|
| The modified integer round-up conjecture for bin packing |
Algorithms |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-16
|
| The randomized k-server problem on arbitrary metrics |
Algorithms |
7 |
0 |
0 |
4 |
1 |
2 |
2026-10-16
|
| The second Kahn–Kalai conjecture |
Probability |
7 |
0 |
0 |
3 |
0 |
4 |
2026-10-16
|
| The strong thin-tree conjecture |
Combinatorics |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-16
|
| The GNRS conjecture for planar and bounded-treewidth graphs |
Functional analysis |
7 |
1 |
1 |
3 |
0 |
2 |
2026-10-15
|
| The Lang–Plaut problem |
Functional analysis |
7 |
1 |
0 |
3 |
0 |
3 |
2026-10-15
|
| The Zariski cancellation problem over the complex numbers |
Algebraic geometry |
7 |
1 |
0 |
4 |
0 |
2 |
2026-10-12
|
| Fourier extension for positively curved surfaces in three dimensions |
Harmonic analysis |
6 |
0 |
0 |
2 |
0 |
4 |
2026-10-30
|
| Randomized versus quantum query complexity |
Computational complexity |
6 |
0 |
0 |
2 |
0 |
4 |
2026-10-30
|
| Zariski's multiplicity conjecture |
Algebraic geometry |
6 |
0 |
0 |
5 |
0 |
1 |
2026-10-30
|
| The Deligne–Drinfeld conjecture |
Algebra |
6 |
2 |
0 |
2 |
0 |
2 |
2026-10-28
|
| Free energies of random perceptrons |
Probability |
6 |
2 |
0 |
2 |
0 |
2 |
2026-10-26
|
| Stein's conjecture for Hilbert transforms along Lipschitz vector fields |
Harmonic analysis |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-26
|
| The low-temperature Sherrington–Kirkpatrick fluctuation law |
Probability |
6 |
2 |
0 |
1 |
0 |
3 |
2026-10-26
|
| Brennan's conjecture |
Complex analysis |
6 |
0 |
0 |
3 |
0 |
3 |
2026-10-25
|
| Shelah's eventual categoricity conjecture |
Mathematical logic |
6 |
0 |
0 |
5 |
0 |
1 |
2026-10-25
|
| Singular Bernoulli convolutions |
Real analysis |
6 |
2 |
0 |
2 |
0 |
2 |
2026-10-23
|
| Generalized star height at most three |
Computational complexity |
6 |
2 |
0 |
2 |
0 |
2 |
2026-10-22
|
| The hyperkähler SYZ conjecture |
Algebraic geometry |
6 |
3 |
0 |
2 |
0 |
1 |
2026-10-22
|
| De Giorgi's conjecture |
Partial differential equations |
6 |
2 |
0 |
1 |
0 |
3 |
2026-10-21
|
| The Kollár–Pardon conjecture on semialgebraic universal covers |
Algebraic geometry |
6 |
1 |
0 |
4 |
0 |
1 |
2026-10-21
|
| The cycle–clique Ramsey conjecture |
Combinatorics |
6 |
0 |
0 |
2 |
0 |
4 |
2026-10-20
|
| Gigli's characterization of Alexandrov curvature |
Differential geometry |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-19
|
| Metric Markov cotype of ℓ1 |
Functional analysis |
6 |
1 |
0 |
1 |
0 |
4 |
2026-10-19
|
| Positively curved Einstein four-manifolds |
Differential geometry |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-19
|
| Regularity of infinity-harmonic functions |
Partial differential equations |
6 |
1 |
0 |
2 |
0 |
3 |
2026-10-19
|
| The Wu–Yau bounded-domain conjecture |
Differential geometry |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-19
|
| Approximability of uniform sparsest cut |
Computational complexity |
6 |
1 |
0 |
3 |
0 |
2 |
2026-10-18
|
| Moore's parity conjecture for constant-depth quantum circuits |
Computational complexity |
6 |
1 |
0 |
3 |
0 |
2 |
2026-10-18
|
| The Kirchberg–Rørdam pure-infiniteness question |
Operator algebras |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-18
|
| The separable quotient problem |
Functional analysis |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-18
|
| Absolutely continuous spectrum of the Anderson model in dimension at least three |
Mathematical physics |
6 |
0 |
1 |
1 |
0 |
4 |
2026-10-17
|
| Dixmier's unitarizability problem |
Group theory |
6 |
1 |
0 |
2 |
0 |
3 |
2026-10-17
|
| Residual finiteness of hyperbolic groups |
Group theory |
6 |
2 |
0 |
1 |
0 |
3 |
2026-10-17
|
| Spacetime Penrose inequalities |
Differential geometry |
6 |
1 |
0 |
2 |
0 |
3 |
2026-10-17
|
| The Mézard–Parisi formula for diluted spin glasses |
Probability |
6 |
0 |
0 |
3 |
0 |
3 |
2026-10-17
|
| The Partition Principle and the Axiom of Choice |
Mathematical logic |
6 |
1 |
0 |
3 |
1 |
1 |
2026-10-17
|
| The free uniform spanning forest as a factor of IID |
Probability |
6 |
0 |
0 |
3 |
0 |
3 |
2026-10-17
|
| Banach's simple Lebesgue-spectrum problem |
Dynamical systems |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-16
|
| Black-box identity testing for noncommutative formulas |
Algebraic complexity |
6 |
1 |
0 |
4 |
0 |
1 |
2026-10-16
|
| Ergodicity and weak mixing of irrational triangular billiards |
Dynamical systems |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-16
|
| One-tape time simulation in two-fifths-power space |
Computational complexity |
6 |
0 |
0 |
3 |
0 |
3 |
2026-10-16
|
| Seymour's second-neighborhood conjecture |
Combinatorics |
6 |
1 |
0 |
2 |
0 |
3 |
2026-10-16
|
| The Sakoda–Sipser problem |
Computational complexity |
6 |
0 |
0 |
3 |
0 |
3 |
2026-10-16
|
| The stable coordinate and Abhyankar–Sathaye conjectures |
Algebraic geometry |
6 |
0 |
0 |
4 |
0 |
2 |
2026-10-12
|
| Fujita's freeness conjecture |
Algebraic geometry |
5 |
2 |
0 |
2 |
0 |
1 |
2026-10-30
|
| Conformal invariance of square-lattice random-cluster interfaces |
Probability |
5 |
2 |
0 |
0 |
1 |
2 |
2026-10-26
|
| Finite-time singularities of Calabi flow |
Differential geometry |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-23
|
| The chromatic splitting conjecture |
Homotopy theory |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-23
|
| Rigidity of the Turing degrees |
Mathematical logic |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-22
|
| The computational complexity of Weisfeiler–Leman refinement |
Computational complexity |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-22
|
| Bounded gaps between primes |
Number theory |
5 |
3 |
0 |
0 |
0 |
2 |
2026-10-20
|
| The Benson–Etingof–Ostrik conjecture for finite tensor categories |
Algebra |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-20
|
| The isotropic elastic Calderón problem |
Partial differential equations |
5 |
2 |
0 |
0 |
0 |
3 |
2026-10-20
|
| The trilinear Hilbert transform |
Harmonic analysis |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-20
|
| Infinitely many closed geodesics on Riemannian spheres |
Differential geometry |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Kirk's fixed point problem for reflexive spaces |
Functional analysis |
5 |
1 |
0 |
0 |
0 |
4 |
2026-10-19
|
| Long-time derivation of the Boltzmann equation |
Mathematical physics |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Modularity of elliptic curves over imaginary quadratic fields |
Number theory |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Smooth isometric immersions of surfaces into four-space |
Differential geometry |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-19
|
| Symplectic ball packing in higher dimensions |
Differential geometry |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-19
|
| The Mumford–Shah conjecture |
Partial differential equations |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The isoperimetric conjecture for the cubic flat three-torus |
Differential geometry |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-19
|
| The nearby Lagrangian conjecture |
Differential geometry |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-19
|
| Weak MTW curvature and the regularity of optimal transport on manifolds |
Partial differential equations |
5 |
0 |
0 |
2 |
0 |
3 |
2026-10-19
|
| Strong locality of unitary vertex operator algebras |
Operator algebras |
5 |
0 |
0 |
4 |
0 |
1 |
2026-10-18
|
| The Kervaire invariant problem at the prime three |
Homotopy theory |
5 |
0 |
0 |
2 |
0 |
3 |
2026-10-18
|
| The Singer conjecture in dimension four |
Geometric topology |
5 |
0 |
0 |
0 |
0 |
5 |
2026-10-18
|
| The coarse Novikov conjecture |
Operator algebras |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-18
|
| The p-adic section conjecture |
Number theory |
5 |
0 |
0 |
1 |
0 |
4 |
2026-10-18
|
| The purely cosmetic surgery conjecture |
Geometric topology |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-18
|
| An exact Hausdorff gauge for SLE |
Probability |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-17
|
| GOE bulk universality for random regular graphs |
Probability |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-17
|
| Infinite finitely presented simple amenable groups |
Group theory |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-17
|
| Single-fold Diophantine representations |
Mathematical logic |
5 |
1 |
0 |
3 |
0 |
1 |
2026-10-17
|
| The ionization and generalized ionization conjectures |
Mathematical physics |
5 |
0 |
1 |
1 |
0 |
3 |
2026-10-17
|
| Almost-linear-time maximum matching in general graphs |
Algorithms |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-16
|
| Deterministic Ramanujan graphs in every degree |
Combinatorics |
5 |
1 |
0 |
1 |
1 |
2 |
2026-10-16
|
| Memory–sample lower bounds for noiseless Gaussian regression |
Information theory |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-16
|
| Serre's positivity conjecture for intersection multiplicities |
Algebra |
5 |
0 |
1 |
1 |
0 |
3 |
2026-10-16
|
| Sogge's local smoothing conjecture |
Harmonic analysis |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-16
|
| The Courtade–Kumar conjecture |
Information theory |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-16
|
| The logarithmic Sobolev conjecture for subgaussian log-concave measures |
Probability |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-16
|
| The near-boundary Birkhoff conjecture |
Dynamical systems |
5 |
2 |
0 |
1 |
0 |
2 |
2026-10-16
|
| The sharp constant in random triangle removal |
Combinatorics |
5 |
1 |
0 |
2 |
0 |
2 |
2026-10-16
|
| Trace reconstruction from deletion channels |
Computational complexity |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-16
|
| The Euclidean Steinitz–Bergström conjecture |
Discrete geometry |
5 |
1 |
0 |
1 |
0 |
3 |
2026-10-15
|
| Embedding edit distance into L1 |
Functional analysis |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-14
|
| The L log L Fourier-convergence conjecture |
Harmonic analysis |
5 |
0 |
0 |
3 |
0 |
2 |
2026-10-12
|
| The Lipman–Zariski conjecture |
Algebraic geometry |
4 |
0 |
0 |
2 |
0 |
2 |
2026-10-30
|
| The Lipschitz isomorphism problem for separable Banach spaces |
Functional analysis |
4 |
1 |
0 |
0 |
0 |
3 |
2026-10-28
|
| The log abundance conjecture in characteristic zero |
Algebraic geometry |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-28
|
| Goldfeld's conjecture for quadratic twists |
Number theory |
4 |
2 |
0 |
1 |
0 |
1 |
2026-10-22
|
| The generalized Mukai conjecture |
Algebraic geometry |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-21
|
| Urysohn width and macroscopic dimension under positive scalar curvature |
Differential geometry |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-21
|
| Katok's entropy rigidity conjecture |
Dynamical systems |
4 |
0 |
0 |
1 |
1 |
2 |
2026-10-19
|
| Patterson's conjecture on cubic Gauss sums |
Number theory |
4 |
1 |
0 |
0 |
0 |
3 |
2026-10-19
|
| The Gromov–Lawson aspherical conjecture |
Differential geometry |
4 |
0 |
0 |
2 |
0 |
2 |
2026-10-19
|
| The Grothendieck homotopy hypothesis |
Homotopy theory |
4 |
1 |
0 |
0 |
0 |
3 |
2026-10-19
|
| The Solomon–Yau least-volume conjecture |
Differential geometry |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The critical dimension for one-phase Bernoulli minimizers |
Partial differential equations |
4 |
0 |
1 |
1 |
0 |
2 |
2026-10-19
|
| The duality conjecture for metric entropy |
Convex geometry |
4 |
0 |
0 |
0 |
0 |
4 |
2026-10-19
|
| Finite generation of the homotopy of the K(n)-local sphere |
Homotopy theory |
4 |
0 |
0 |
1 |
0 |
3 |
2026-10-18
|
| Smith–Toda complexes at every height |
Homotopy theory |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-18
|
| The Hahn–Wilson conjecture |
Homotopy theory |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-18
|
| The Hovey–Strickland conjecture |
Homotopy theory |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-18
|
| The Phillips–Toms conjecture |
Operator algebras |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-18
|
| Classifying spaces and geometric obstructions for Artin groups |
Group theory |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-17
|
| The halving lines problem |
Discrete geometry |
4 |
0 |
0 |
0 |
0 |
4 |
2026-10-17
|
| The random k-SAT satisfiability threshold |
Probability |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-17
|
| Approximating edit distance in almost-linear time |
Algorithms |
4 |
2 |
0 |
0 |
0 |
2 |
2026-10-16
|
| Gepner and large-volume stability conditions on threefolds |
Algebraic geometry |
4 |
1 |
0 |
2 |
0 |
1 |
2026-10-16
|
| Shub's entropy conjecture |
Dynamical systems |
4 |
1 |
0 |
0 |
0 |
3 |
2026-10-16
|
| The Bochner–Riesz conjecture in three dimensions |
Harmonic analysis |
4 |
0 |
0 |
1 |
0 |
3 |
2026-10-16
|
| The Oka property of complex K3 surfaces |
Complex analysis |
4 |
2 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The abelian Zilber–Pink conjecture |
Algebraic geometry |
4 |
2 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The approximation threshold for metric k-median |
Algorithms |
4 |
2 |
0 |
0 |
0 |
2 |
2026-10-16
|
| The equivariant cohomological Hikita conjecture |
Algebraic geometry |
4 |
0 |
0 |
2 |
1 |
1 |
2026-10-16
|
| The inhomogeneous Duffin–Schaeffer conjecture |
Number theory |
4 |
1 |
0 |
1 |
0 |
2 |
2026-10-16
|
| The ordinary double point volume gap |
Algebraic geometry |
4 |
0 |
0 |
2 |
0 |
2 |
2026-10-16
|
| Uchida's conjecture on open homomorphisms of Galois groups |
Number theory |
4 |
0 |
0 |
1 |
0 |
3 |
2026-10-16
|
| Long gaps between primes |
Number theory |
4 |
3 |
1 |
0 |
0 |
0 |
2026-10-09
|
| The Campana–Peternell conjecture |
Algebraic geometry |
3 |
0 |
0 |
2 |
0 |
1 |
2026-10-23
|
| Hochster's small Cohen–Macaulay module conjecture |
Algebra |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-21
|
| The Kadison–Kastler conjecture |
Operator algebras |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-20
|
| Bi-Lipschitz charts at regular points of RCD spaces |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Donaldson's hypersymplectic deformation conjecture |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Local isometric immersion of smooth surfaces in three-space |
Differential geometry |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-19
|
| Manifolds without conjugate points and nonpositive curvature |
Differential geometry |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-19
|
| Markov type and superreflexivity |
Functional analysis |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-19
|
| The Ball–Evans approximation problem in three dimensions |
Partial differential equations |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The Kadison–Ringrose cohomology conjecture |
Operator algebras |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-19
|
| The metric Blaschke conjecture |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The scalar-curvature extension problem for Ricci flow |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| The singular set of stationary integral varifolds |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Uniqueness of tangent flows for mean-curvature flow of surfaces |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Yau's uniformization conjecture |
Differential geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-19
|
| Bound states of the BFSS matrix model |
Mathematical physics |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| Curtis's conjecture |
Homotopy theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| Four-dimensional disk embedding and Wall's conjecture |
Geometric topology |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| Gersten's conjecture and virtual specialness of one-relator groups |
Group theory |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-18
|
| Kadison's similarity problem |
Operator algebras |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-18
|
| Kirchberg's embedding problem |
Operator algebras |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-18
|
| Quillen's conjecture on the poset of p-subgroups |
Group theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| The Borel conjecture in dimension four |
Geometric topology |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| The chromatic Smith problem for finite p-groups |
Homotopy theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-18
|
| Donovan's conjecture |
Representation theory of algebras |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-17
|
| Gaussian free field limits for the balanced six-vertex model |
Probability |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-17
|
| Strong cosmic censorship near Kerr black holes |
Mathematical physics |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-17
|
| The Eilenberg–Ganea conjecture |
Group theory |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-17
|
| The double-dimer CLE4 conjecture in the half-plane |
Probability |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-17
|
| The three-quarter exponent for honeycomb self-avoiding walk |
Probability |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-17
|
| Alperin's weight conjecture |
Representation theory of algebras |
3 |
0 |
1 |
1 |
0 |
1 |
2026-10-16
|
| Bloch's conjecture for surfaces with geometric genus zero |
Algebraic geometry |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| Carleson's pointwise convergence problem for the Schrödinger equation |
Harmonic analysis |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| Geometric Langlands and the generalized Ramanujan conjecture over function fields |
Number theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| Kobayashi's canonical-ampleness conjecture |
Complex analysis |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| Kuznetsov's rationality conjecture |
Algebraic geometry |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| Milne's rationality conjecture |
Number theory |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| Pointwise convergence of multiple ergodic averages for mixing transformations |
Dynamical systems |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| The Eisenbud–Green–Harris and lex-plus-powers conjectures |
Algebra |
3 |
0 |
0 |
2 |
0 |
1 |
2026-10-16
|
| The Fontaine–Mazur conjecture at the prime 2 |
Number theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| The LeBrun–Salamon conjecture |
Differential geometry |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The abundance conjecture for threefolds in positive characteristic |
Algebraic geometry |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The existential theory of the reals in the counting hierarchy |
Computational complexity |
3 |
1 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The higher-dimensional Duke problem for torus packets |
Number theory |
3 |
0 |
0 |
1 |
0 |
2 |
2026-10-16
|
| Dimension reduction in Lp spaces |
Functional analysis |
3 |
0 |
0 |
0 |
0 |
3 |
2026-10-15
|
| Campana's abelianity conjecture |
Algebraic geometry |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-26
|
| Anticanonical nonvanishing under smooth semipositivity |
Algebraic geometry |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-16
|
| Shafarevich's holomorphic-convexity conjecture |
Algebraic geometry |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The Virasoro conjecture for complete intersections |
Algebraic geometry |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-16
|
| The global spherical shell conjecture |
Complex analysis |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-16
|
| Griffiths' positivity conjecture |
Algebraic geometry |
2 |
0 |
0 |
0 |
0 |
2 |
2026-10-14
|
| Quantum geometric Langlands at irrational level |
Algebraic geometry |
2 |
0 |
0 |
1 |
0 |
1 |
2026-10-13
|
