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-7501 Nonsingularity of Bernstein-Basis Collocation Matrices
- Math-7502 Gaussian Cubature for Three-Variable Product Chebyshev Weights
- Math-7503 Universal Four-Point Polynomial Interpolation Subspaces
- Math-7504 Equations of Three-Dimensional Wachspress Varieties
- Math-7505 Mean-Value Coordinate Equations and Wachspress-Surface Moduli
- Math-7506 Relations among Adjoint Curves from Cyclic Point Orders
- Math-7507 Complexity of Low-Chromatic Compact Free Subshifts
- Math-7508 Zero Divisors in a Seven-Generator Group Ring
- Math-7509 Classification of Coarsifications of the Integers
- Math-7510 Consensus Times on Erdős–Rényi Random Graphs
- Math-7511 Elementary Proofs of Laguerre–Pólya Total Positivity
- Math-7512 Classification of Singular Radial Fractional-Laplacian Solutions
- Math-7513 Continuous Minimizers for a Regional Fractional-Laplacian Functional
- Math-7514 Analytic Proofs of Dimension-Free Nonlocal Regularity
- Math-7515 The Whitehead Conjecture
- Math-7516 O5a — Deterministic polynomial-time integer factorization
- Math-7517 The NC versus P Problem for Efficient Parallel Computation
- Math-7518 P vs. BPP
- Math-7519 Basing One-Way Functions on NP-Hardness
- Math-7520 Existence of One-Way Permutations
- Math-7521 Equivalence of Worst-Case and Average-Case Hardness for NP (Excluding Heuristica)
- Math-7522 Bombieri–Lang conjecture
- Math-7523 L = P Problem
- Math-7524 Dickson's Conjecture
- Math-7525 P versus NC^1
- Math-7526 Deligne's Conjecture for Critical Motive Values
- Math-7527 Non-Triviality of the Three-Dimensional Ising Model
- Math-7528 Graph Isomorphism in Polynomial Time
- Math-7529 Campana's Conjecture Characterizing Special Varieties by Potential Density of Rational Points
- Math-7530 PSPACE versus EXPTIME
- Math-7531 Littlewood Conjecture
- Math-7532 L versus NL
- Math-7533 Selberg's 1/4 conjecture
- Math-7534 Bunyakovsky Conjecture
- Math-7535 Szpiro's conjecture
- Math-7536 Polignac's Conjecture
- Math-7537 The Kissing Number Problem
- Math-7538 The Haldane Conjecture on Spectral Gaps of Antiferromagnetic Quantum Spin Chains
- Math-7539 Quantum Unique Ergodicity on Negatively Curved Manifolds
- Math-7540 Erdős Problem #52
- Math-7541 Iitaka Subadditivity Conjecture for Kodaira Dimension
- Math-7542 Prove the BKL locality conjecture in the general inhomogeneous context
- Math-7543 Serre's congruence subgroup conjecture
- Math-7544 QMA versus QCMA Problem
- Math-7545 Polynomial Bound for Limit Cycles of Planar Polynomial Vector Fields
- Math-7546 Density Hypothesis for Riemann-Zeta Zeros
- Math-7547 Unconditional Single-Prover Classical Verification of BQP Computations
- Math-7548 Erdős Conjecture on Arithmetic Progressions
- Math-7549 Polynomial pivot rule for the simplex method
- Math-7550 Normality of Irrational Algebraic Numbers