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-7451 Nowhere-Zero Perturbations of Nonclosed One-Forms
- Math-7452 Sharp Dimensions for Totally Skew Embeddings
- Math-7453 Complex Hyperbolic Plane Embeddings into Four Trees
- Math-7454 Critical Well-Posedness for Derivative Nonlinear Schrödinger Equations
- Math-7455 Regularity and Monotonicity of Atomic Ground-State Densities
- Math-7456 Structural Thresholds for Sum-Free Sets in $\mathbb{Z}/p\mathbb{Z}$
- Math-7457 Congruences for Extremal Modular Forms
- Math-7458 Positivity of Saito's Eta Products
- Math-7459 Quiver Discriminants from Generic Maximal Minors
- Math-7460 Explicit Flips on Voronoi Compactifications
- Math-7461 MacWilliams Duality for Convolutional Codes
- Math-7462 Minimal Subdegrees of Twisted-Wreath Permutation Groups
- Math-7463 Matrix Integral Models for Multivariable Free Transforms
- Math-7464 Theoretical Certification of Crossing-Number Optimality
- Math-7465 Weak-Solution Uniqueness for Coupled Thermomechanical Systems
- Math-7466 Set-Theoretic Cohen–Macaulay Ideals in Characteristic Zero
- Math-7467 Distinct Higher-Point Motions of Perturbed Arratia Flows
- Math-7468 Approximation Classes for Adaptive Finite Elements
- Math-7469 Geometric Gradient Flows for Elastic Rods
- Math-7470 Flat-Side Evolution Under Gauss Curvature Flow
- Math-7471 Uniqueness of Fixed-Bounce Geodesic Loops in Billiards
- Math-7472 Accumulation Points of Convex Billiard Length Spectra
- Math-7473 Smooth Rigidity of Diophantine Step-Two Affine Maps
- Math-7474 Copreservation of Even and Odd Periodic Billiard Families
- Math-7475 Density of Finite-Order Absolutely Periodic Billiard Orbits
- Math-7476 Dirac-Mass Tangent Cones in Monge–Ampère Equations
- Math-7477 Rank-One Convex Energies Excluding Nontrivial Young Measures
- Math-7478 Uniform Low-Regularity Schemes for Coupled Klein–Gordon Systems
- Math-7479 Solitary-Wave Stability for the Lugiato–Lefever Equation
- Math-7480 Restriction of Unramified GL Representations to Iwahori Blocks
- Math-7481 Weighted Sobolev Stability Under Nonlinear Composition
- Math-7482 Bridge Position for Surfaces in Trisected Four-Manifolds
- Math-7483 Genus-Reducing Local-Knot Concordance in Orientable Three-Manifolds
- Math-7484 Gaussian Functionals on q-Deformed Compact Lie Groups
- Math-7485 Bilinear Wave–Schrödinger Restriction Without Transversality
- Math-7486 Bubble-Free Criterion for Polygraphic and Nerve Homology
- Math-7487 String Diagram Models of Moduli Spaces
- Math-7488 Pair-of-Pants Products on Contact Loci of Jets
- Math-7489 Topological Determination of Polar Curve Positions
- Math-7490 Origins of Yangian R-Matrix Factors
- Math-7491 Pole Orders and Extensions of Kirillov–Reshetikhin Modules
- Math-7492 Invariant Involutions for Quantum Affine Evaluation Modules
- Math-7493 Splitting Subgroups of General Linear Supergroups
- Math-7494 Operator Relations on Yified Khovanov–Rozansky Homology
- Math-7495 Coefficient Criterion for Irredundant String-Cone Inequalities
- Math-7496 Topology of Affine and Doubly Extended Associahedra
- Math-7497 Optimal Product Structure for Planar Graphs
- Math-7498 Clique Minors in Graphs Excluding a Fixed Subgraph
- Math-7499 Hyper-Aperiodic Colorings from Aperiodic SFT Colorings
- Math-7500 Compatible Polynomial Interpolation on Algebraic Varieties