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
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- Math-2451 The $L_p$ Brunn–Minkowski Conjecture
- Math-2452 Hadwiger’s Coloring Conjecture and Its Odd-Minor Variant
- Math-2453 Optimal Fourier Restriction Estimates on Submanifolds
- Math-2454 Birkhoff Rigidity Conjecture for Convex Billiards
- Math-2455 Local Birkhoff Rigidity Near Elliptical Billiards
- Math-2456 Arnold Fixed Point Bound by Cup Length
- Math-2457 Chromatic Fixed-Point Implications for Finite p-Groups
- Math-2458 Realizing Chromatic Types at Nested Fixed Points
- Math-2459 Equivalence of Nuclear Dimension, Z-Stability, and Strict Comparison
- Math-2460 Nagata Conjecture for Multipoint Seshadri Constants
- Math-2461 Fujita's Conjecture for Effective Global Generation
- Math-2462 Residual Finiteness and Minimal Presentations of Hyperbolic Groups
- Math-2463 Maximum Excess Charge of Atoms
- Math-2464 The Tamed-to-Compatible Symplectic Conjecture
- Math-2465 Artin Groups in Helly and Injective Geometry
- Math-2466 Monge Minimizers for Multimarginal Coulomb Transport
- Math-2467 Generic Singularities of Mean Curvature Flow
- Math-2468 Positive Scalar Curvature Obstruction for Aspherical Manifolds
- Math-2469 The Restricted Geometric Langlands Conjecture
- Math-2470 Analytical Performance Theory for QAOA and RQAOA
- Math-2471 KLS Isoperimetric Coefficient Bound for Log-Concave Measures
- Math-2472 Hadwiger’s Graph-Coloring Conjecture
- Math-2473 Kaplansky's Conjectures for Group Rings
- Math-2474 Spectral-Deformation Methods for the Riemann Hypothesis
- Math-2475 Zilber-Pink Unlikely Intersection Conjecture
- Math-2476 Erdős–Gallai Cycle-Decomposition Conjecture
- Math-2477 Boundedness of Multilinear Hilbert Transforms
- Math-2478 Fractal Schrödinger Convergence Above Half Dimension
- Math-2479 Uniform Bounds for Two-Dimensional Bilinear Hilbert Transforms
- Math-2480 Fourier Restriction Conjecture in Higher Dimensions
- Math-2481 Known Cases of Iitaka Subadditivity
- Math-2482 Singular Free Boundaries in the Critical Dimension
- Math-2483 Zero–One Law for Directional Transience
- Math-2484 Fourier Restriction and Kakeya Incidence Conjectures
- Math-2485 General Kakeya Dimension Conjecture
- Math-2486 Pointwise Convergence of Multiple Ergodic Averages
- Math-2487 Rigorous Mesoscopic Limits of Many-Particle Systems
- Math-2488 Higher Finiteness Embeddings and TDLC Analogues
- Math-2489 Chromatic Number of Overlapping Unit-Circle Constellations
- Math-2490 Borsuk Partition Problem in Dimensions Four Through Sixty-Three
- Math-2491 The Graphic Kahn–Kalai Conjecture
- Math-2492 Finite-field polynomial multiplication and integer-multiplication lower bounds
- Math-2493 Rigidity of Stable One-Phase Solutions
- Math-2494 The Generalized Étale-Homotopy Section Conjecture
- Math-2495 Existence of the Smith–Toda Complex $V(4)$
- Math-2496 Arthur-Langlands Reciprocity
- Math-2497 Low-Temperature Order in Quantum Heisenberg Ferromagnets
- Math-2498 AQFT Locality of Unitary Vertex Operator Algebras
- Math-2499 Structural Problems for $C^*$- and von Neumann Algebras
- Math-2500 Maximum Normalized Mahler Measure of Littlewood Polynomials