Mathematics catalogue
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
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- Math-251 Hopf conjecture for nonnegative sectional curvature
- Math-252 Quantum versus Classical Communication Complexity of Total Functions
- Math-253 Banach-Mazur Rotation Problem
- Math-254 Reliability Function of the Binary Symmetric Channel Below the Critical Rate
- Math-255 Dynamical Mordell–Lang Conjecture
- Math-256 Kadison Similarity Problem for C*-Algebras
- Math-257 RL versus L
- Math-258 Holomorphic Convexity of Universal Covers
- Math-259 Conditional fiber collapse and periodic-data tests for the Anosov infranil conjecture
- Math-260 All groups are good: the four-dimensional disc-embedding conjecture
- Math-261 Moonshine Uniqueness Conjecture (Strongly Rational Holomorphic VOA Form)
- Math-262 Constant-Query Locally Decodable Codes with Polynomial Blocklength
- Math-263 The Singer Conjecture on Vanishing of L2-Cohomology of Aspherical Manifolds
- Math-264 The Gauss Circle Problem
- Math-265 Are there infinitely many Mersenne primes?
- Math-266 The k-Server Conjecture for General Metric Spaces
- Math-267 Equivalence or Strict Containment of QMA and QMA(2)
- Math-268 Classical Worst-Case Hardness Reduction for LWE
- Math-269 Sidorenko's Conjecture for Bipartite Graphons
- Math-270 MAJORITY is not in ACC0
- Math-271 Rational Cubic Fourfolds and K3 Categories
- Math-272 Zarankiewicz Problem for K_{t,t}-Free Bipartite Graphs
- Math-273 Polynomial-Time Decidability of Semidefinite Programming Feasibility
- Math-274 Nearby Lagrangian conjecture
- Math-275 Zagier Conjecture on Dedekind Zeta Values
- Math-276 Finite Spectrum Problem
- Math-277 Exact Unassisted Quantum Capacity of the Qubit Depolarizing Channel
- Math-278 Cartan-Hadamard isoperimetric conjecture
- Math-279 Michel Boundary Rigidity Conjecture for Simple Manifolds
- Math-280 Bound Entanglement with Negative Partial Transpose
- Math-281 Sharp Upper Bound in Yau's Conjecture on Nodal Sets of Laplace Eigenfunctions
- Math-282 Alperin–McKay Conjecture
- Math-283 Planar homogeneous Mumford–Shah local-structure conjecture
- Math-284 Polynomial-time explicit logarithmic Ramsey graphs
- Math-285 Complex linearity of closed-surface mapping class groups by genus
- Math-286 Grigorchuk Gap Conjecture
- Math-287 Resolvent Degree of the General Degree-Seven Polynomial (Algebraic Form of Hilbert's Thirteenth Problem)
- Math-288 Frey-Mazur Conjecture
- Math-289 Kaplansky's Idempotent Conjecture
- Math-290 Irrationality of Euler's Constant
- Math-291 Global Regularity of the 2D Inviscid Boussinesq Equations
- Math-292 Vassiliev Separation by Abelian-Valued Finite-Type Invariants
- Math-293 Deterministic polynomial-time exact bipartite matching
- Math-294 Erdös-Szekeres conjecture
- Math-295 Griffiths Positivity Conjecture for Ample Vector Bundles
- Math-296 Bodirsky-Pinsker Tractability Conjecture for Infinite-Domain Constraint Satisfaction
- Math-297 Sample Compression Conjecture (Linear Size in VC Dimension)
- Math-298 Huisken's Generic Singularity Conjecture for Mean Curvature Flow
- Math-299 Montgomery's Large Value Conjecture for Dirichlet Polynomials
- Math-300 Positivity Problem for Linear Recurrence Sequences