Mathematics
Open problems, research attempts and community review.
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
6,275 records · Search and filter
- Math-351 Hopf Conjecture: no metric of positive sectional curvature on S^2 x S^2
- Math-352 Bott Conjecture: nonnegatively curved simply connected manifolds are rationally elliptic
- Math-353 Corona problem for the unit polydisc
- Math-354 3-flow conjecture
- Math-355 Arithmeticity of Lattices in PU(n,1) for n at Least 4
- Math-356 Brauer's k(B) Conjecture
- Math-357 Kummer–Vandiver conjecture
- Math-358 Constant-Parameter Quantum Locally Testable Codes
- Math-359 Existence of a p-Optimal Propositional Proof System
- Math-360 Least quadratic nonresidue modulo a prime
- Math-361 Iwaniec Conjecture for the Beurling-Ahlfors Transform Norm
- Math-362 Strong Hyperplane Conjecture for Isotropic Constants
- Math-363 The Word Problem for One-Relation Monoids
- Math-364 Benjamini-Schramm conjecture p_c<p_u for non-amenable Cayley graphs
- Math-365 Strongly Compact vs Supercompact Cardinals
- Math-366 Asymptotic Turan Numbers of Even Cycles
- Math-367 Fujita Freeness Conjecture
- Math-368 Kobayashi Conjecture: Hyperbolic Compact Kähler Manifolds Have Ample Canonical Bundle
- Math-369 Nagata Conjecture on Plane Curve Linear Systems
- Math-370 Beal's Conjecture
- Math-371 Igusa’s Standard p-Adic Monodromy Conjecture
- Math-372 Sharp Multidimensional Star-Discrepancy Asymptotics
- Math-373 In spherical or hyperbolic geometry, must polyhedra with the same volume and Dehn invariant be scissors-congruent
- Math-374 Shelah's Categoricity Conjecture for L_omega1,omega
- Math-375 Corona Problem for the Unit Ball in Several Complex Variables
- Math-376 Hyperkähler SYZ (Lagrangian Fibration) Conjecture
- Math-377 Four Exponentials Conjecture
- Math-378 Growth of finitely presented groups
- Math-379 Combinatorial interpretation of Kronecker coefficients
- Math-380 The Dixmier Unitarisability Problem
- Math-381 NP-Hardness of Constant-Factor Approximation for Densest k-Subgraph
- Math-382 Černý Conjecture on Shortest Reset Words of Synchronizing Automata
- Math-383 Ivrii conjecture on periodic billiard orbits
- Math-384 Toms–Winter: Strict Comparison Implies Z-Stability
- Math-385 Partition Regularity of Pythagorean Triples
- Math-386 Bad Groups of Finite Morley Rank
- Math-387 Brauer-Manin obstruction to the Hasse principle for K3 surfaces
- Math-388 The Filling Area Conjecture
- Math-389 Green’s Canonical Syzygy Conjecture for Arbitrary Curves
- Math-390 Lieb-Thirring Conjecture on the Sharp Constant for Riesz Means of Order One in Three Dimensions
- Math-391 Bourgain's unbounded Sobolev orbit problem for cubic defocusing NLS on the square two-torus
- Math-392 Pugh–Shub Stable Ergodicity (C^r Density in Partial Hyperbolicity)
- Math-393 Serre's Positivity Conjecture
- Math-394 Are There Infinitely Many Sophie Germain Primes?
- Math-395 The Thomson problem
- Math-396 Global Regularity of the 3D Incompressible Hall-MHD Equations for Large Data
- Math-397 Multiplicative minimum and bounded diagonal orbits
- Math-398 Margulis–Platonov normal-subgroup conjecture
- Math-399 Arnold-Givental Lagrangian intersection conjecture
- Math-400 Rokhlin problem on multiple mixing