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-15751 Convergence Without Continuous or TVD Numerical Fluxes
- Math-15752 Birational Sections and Rational Points of Hyperbolic Curves
- Math-15753 Anabelian Reconstruction of Genus-Zero Configuration Spaces
- Math-15754 Local-Global Principles for Torsors over Semi-Global Fields
- Math-15755 Semifree-Module Form of the Toral-Rank Conjecture
- Math-15756 Curvature-Driven Product Splittings and Topological Obstructions
- Math-15757 Tropical Limits of Spectral Curves in Mirror Symmetry
- Math-15758 Categorical Gaps and Wall-Crossings from Toric Degenerations
- Math-15759 Undetermined Coefficients in Universal Residual Polynomials
- Math-15760 Simple Specht Modules for Hecke Algebras
- Math-15761 Vertices of Modular Symmetric-Group Representations
- Math-15762 Murphy-Element Description of Centralizer-Algebra Centers
- Math-15763 Normal Nodes and Specht Restriction Filtrations
- Math-15764 Homological and Filtration Problems for Symmetric-Group Modules
- Math-15765 Energy Release for General Crack Geometries
- Math-15766 Effective Toughness of Periodically Defective Materials
- Math-15767 Direction-Dimension Dichotomies on Nonarithmetic Veech Surfaces
- Math-15768 Laurent Coefficients and Rotational Components of Singular One-Forms
- Math-15769 Topological Types of Linear-Approach Spaces
- Math-15770 Approximation Conjectures for $L^2$-Torsion and Homology
- Math-15771 Rank Completions of Crossed-Product Rings
- Math-15772 Homological Computability of Restricted Singularity Classes
- Math-15773 Expository Random-Matrix Framing Question
- Math-15774 Macroscopic Pivotals Without Infinite-Cluster Exceptional Times
- Math-15775 Invariant Orders on Finitely Generated Infinite Groups
- Math-15776 Adaptive Diffusion Parameters for Discretization Accuracy
- Math-15777 Resource-Capacity Formulations and Relax-and-Fix Heuristics
- Math-15778 Facet Preservation in Recursive Hoffman-Cut Decompositions
- Math-15779 Optimal Hermitian Metrics for Random Holomorphic Sections
- Math-15780 Genus Bounds from Positive Closed Currents
- Math-15781 Floquet Exponents and Invariant Measures of Schrödinger Operators
- Math-15782 Spectral-Edge Spacing in Large Random Band Matrices
- Math-15783 Finite-Field Detection of Area-Preserving Dynamics
- Math-15784 Hyperbolicity and Imprimitivity in Vertex-Transitive Graphs
- Math-15785 Spectral Methods for First-Kind Equations on Nonspherical Geometries
- Math-15786 Galois Representations from Hecke Maximal Ideals
- Math-15787 Taylor–Wiles Deformation Maps to Augmented Hecke Algebras
- Math-15788 Higher Product Rigidity for Wound Unipotent Targets
- Math-15789 Discrete-Valuation Local-Global Principle for Homogeneous Varieties and Torsors
- Math-15790 Elementary Proofs and Computations of Equivariant Multiplicities
- Math-15791 Injectivity of the Quantum K-Theoretic Hall Homomorphism
- Math-15792 Depth Relative to K-Trivial Oracles
- Math-15793 Computable Multifunctions Between Effectively Hausdorff Spaces
- Math-15794 Long Binary Blocks in Uniformly Random Sequences
- Math-15795 Computability and Complexity Characterizations of Poisson Genericity
- Math-15796 Computable Characterizations of Hausdorff Packing Regularity
- Math-15797 Weihrauch Reductions for Paths Through Ill-Founded Trees
- Math-15798 Computable Coherent Sets in Stochastic Dynamics
- Math-15799 Reduced Variables Preserving Dominant Dynamical Timescales
- Math-15800 State Reconstruction and Reduced Coordinates from Sparse Sensors