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-7401 Extremal H-Constants of Line Arrangements
- Math-7402 Complex Line Arrangements without Double Points
- Math-7403 Unexpected Curves from Plus-One Generated Arrangements
- Math-7404 Supersolvability of Low-Exponent Free Hyperplane Arrangements
- Math-7405 Exact Sequences for Logarithmic Derivation Sheaves
- Math-7406 Descent of Freeness for Orthogonal Modular Form Algebras
- Math-7407 Effective Surface Cone of Principally Polarized Abelian Threefolds
- Math-7408 Quadratic Growth without Quadratic Control Regularization
- Math-7409 Lagrangian Schemes for Irregular Porous-Medium Solutions
- Math-7410 Higher-Order Entropy-Conservative Finite-Volume Methods
- Math-7411 Answered Sullivan-Model Existence Question
- Math-7412 Blocks of Symmetric-Group Centralizer Algebras
- Math-7413 Cohomology Vanishing for Principal-Block Simple Modules
- Math-7414 Specht Modules with Abelian Vertices
- Math-7415 Tree-Cutting Representations of Exchangeable Coalescents
- Math-7416 Spectral Bounds for Random DFT Submatrices
- Math-7417 Maximal Submatrix Bounds Without Unconditionality
- Math-7418 Entry Distributions in Random Contingency Tables
- Math-7419 Residual Sets Supporting Interval-Exchange Ergodic Measures
- Math-7420 Profinite Closure Obstructions in Free Groups
- Math-7421 Mapping-Class-Group Presentations of Surface Steinberg Modules
- Math-7422 Simplicial-Volume-Generated Seminorms in Third Homology
- Math-7423 Entropy-Stable Paths for Approximate Riemann States
- Math-7424 Nonprincipal Ramsey–Turán Families
- Math-7425 Rigidity of Morphisms to Wound Unipotent Groups
- Math-7426 Redundant Inequalities in String Cones
- Math-7427 Exponent Criterion for Nonredundant String-Cone Inequalities
- Math-7428 Admissible Sets and Their Jump Structures
- Math-7429 Zigzagging Skips of Arithmetical Degrees
- Math-7430 Positive Degrees Within Truth Table and Many One Degrees
- Math-7431 Localized Scalar Curvature Conditions Forcing Nonnegative ADM Mass
- Math-7432 Translation Invariance of Finitely Generated Shift-Invariant Spaces
- Math-7433 Dual Wavelet Frames and Tight Gabor Frames
- Math-7434 Linear Independence of Four Time-Frequency Shifts
- Math-7435 Sharp $L^1$ Bounds for Approximate Convolution Idempotents
- Math-7436 Nearest Normalized Tight Frames
- Math-7437 Wavelet Structure of Canonical Tight Frames
- Math-7438 Far-Field Solvability in Electromagnetic Inverse Scattering
- Math-7439 Expected Discrepancy of Generalized Lattice Point Sets
- Math-7440 Conditional Correlations in Percolation Models
- Math-7441 Stability and Complexity of Helmholtz Boundary Elements
- Math-7442 Shrinkage and Democracy of Warped Wavelet Bases
- Math-7443 Trajectory Trichotomy for Linear Vector Fields
- Math-7444 Maslov-Zero Lagrangian Tori in Quartic K3 Surfaces
- Math-7445 Period Collapse in Ehrhart Quasipolynomials
- Math-7446 Entropy Numbers of Vector-Valued Sequence Operators
- Math-7447 Chern-Class Generators for Wonderful Compactifications
- Math-7448 Complex Foliations of Odd-Dimensional Spheres
- Math-7449 Oleinik Entropy for the Leroux System
- Math-7450 Matrix-Algebra Formalisms for Interacting Particle Models