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-451 Li-Li Undirected Multiple-Unicast Network Coding Conjecture
- Math-452 Deligne–Drinfeld Freeness Conjecture for grt_1
- Math-453 Small Cohen-Macaulay Conjecture
- Math-454 Erdős Matching Conjecture
- Math-455 Uniform epsilon-equilibrium in finite multiplayer stochastic games
- Math-456 Uniqueness of the KPZ Fixed Point Among Scaling-Covariant Local Fields
- Math-457 Unit propagation and a trace-Bockstein reduction for Greek-letter redshift
- Math-458 Angular-factor dichotomy for triangular billiards
- Math-459 Smooth Realization of Finite-Entropy Ergodic Transformations
- Math-460 Andrews-Curtis Conjecture
- Math-461 Exact critical exponents of oriented percolation in 1+1 dimensions
- Math-462 Capacity Region of General 3-Receiver Discrete Memoryless Broadcast Channels
- Math-463 Katok entropy rigidity and an exact time-change obstruction
- Math-464 Greenfield-Wallach-Katok Conjecture for Cohomology-Free Vector Fields
- Math-465 Leray's Problem for Stationary Navier-Stokes under the Total-Flux Condition in Three Dimensions
- Math-466 Pisot Substitution Conjecture
- Math-467 Arveson-Douglas Essential Normality Conjecture for Homogeneous Quotient Modules
- Math-468 Lusztig's P1-P15 Conjectures for Bounded Weighted Coxeter Groups
- Math-469 Hall's Conjecture
- Math-470 Fujita Very Ampleness Conjecture
- Math-471 The Köthe Conjecture
- Math-472 Campana–Peternell Conjecture for Fano Manifolds
- Math-473 Existence of the Diagonal Ramsey Growth Limit
- Math-474 David–Semmes Riesz-transform problem in intermediate dimensions
- Math-475 Pi Normality
- Math-476 Auslander Conjecture for Complete Affine Manifolds
- Math-477 The Illumination Conjecture
- Math-478 Polynomial-Time Quasioptimal Logarithmic-Energy Points on the 2-Sphere
- Math-479 Zilber’s Quasiminimality Conjecture for Complex Exponentiation
- Math-480 Are there only finite Fermat Primes?
- Math-481 Does every higher-dimensional tiling by translations of convex polytope tiles have an affine transformation taking it to a Voronoi diagram
- Math-482 Polynomial-Time Solvability of Condon's Simple Stochastic Games
- Math-483 $k$-sets
- Math-484 Combinatorial Boolean Matrix Multiplication in Near-Linear Time
- Math-485 Persistence Conjecture for Weakly Reversible Mass-Action Systems
- Math-486 Major problems 2 — The generating hypothesis, which asserts that the stable homotopy functor is faithful on the category…
- Math-487 Potential Density of Rational Points on K3 Surfaces
- Math-488 Zariski Dense Orbit Conjecture
- Math-489 Furstenberg No-Bigeodesics (Planar FPP, Standard Minimum Moment)
- Math-490 Koblitz Conjecture for Prime Orders of Elliptic Curves
- Math-491 Liouville problem for stationary Navier–Stokes D-solutions in R^3
- Math-492 Witsenhausen Counterexample: Optimal Strategy and Cost
- Math-493 Inscribed Square Problem (Toeplitz Conjecture)
- Math-494 Positive Counting Rule for Type-A Schubert Structure Constants
- Math-495 Gottschalk Surjunctivity Problem
- Math-496 Spectral Determination of Convex Planar Domains
- Math-497 SHGH Conjecture for Linear Systems on Blown-Up Planes
- Math-498 Ruzsa-Szemeredi (6,3) Extremal-Order Problem
- Math-499 The McKay-Navarro Conjecture for Finite Groups
- Math-500 List edge-coloring conjecture