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-15001 Flux Stability for Multidimensional Conservation Laws
- Math-15002 Structure-Preserving Variational Closures of Kinetic Equations
- Math-15003 Weil–Arakelov and Weil–Étale Cohomology for Arithmetic Schemes
- Math-15004 Higher-Order Correlations at Coincident Energies
- Math-15005 Algebraic Complexity Bounds for Real Varieties
- Math-15006 Polynomial-Rate Surrogates for Noisy Manifold Estimation
- Math-15007 Second-Order Bias in Kernel Level-Set Estimation
- Math-15008 Learning Related Structural Causal Models from Heterogeneous Data
- Math-15009 Minimax Risk of Structured Matrix Estimation
- Math-15010 Universal Sampling and Interpolation Density in Kernel Spaces
- Math-15011 Critical Sampling Density Beyond Beurling Density
- Math-15012 Thresholds and Traces for Supercritical Lane–Emden Blowup
- Math-15013 Stable Embedded Minimal Hypersurfaces Below Dimension Eight
- Math-15014 Analytic Continuation of Topological Zeta Functions
- Math-15015 Malle-Type Asymptotics for Refined Cover Counts
- Math-15016 Spectral Halo Breaking Points for Hilbert Modular Forms
- Math-15017 p-Adic Period Maps and Hodge-Theoretic Variations
- Math-15018 Unique Harmonic Metrizations of Line Bundles
- Math-15019 Jump Loci for Motivic Complexity in Families
- Math-15020 Classifying Mixing Smale Spaces by Homoclinic $C^*$-Algebras
- Math-15021 Von Neumann Generation of the Algebra T-Psi
- Math-15022 $C^*$-Simplicity from Nonfree Boundary Actions
- Math-15023 Contact Loci and Nash Sets of Prime Divisors
- Math-15024 Hausdorff Dimension of Intersections of Badly Approximable Sets
- Math-15025 Khintchine Theory for Symbolic Self-Similar Approximation
- Math-15026 Definability of Evaluation in Rings of Entire Functions
- Math-15027 Differential Criteria for Low-Genus Curves on Surfaces
- Math-15028 Completeness Tests for Integral Subvarieties
- Math-15029 Definability in Automata-Presentable Ring Expansions
- Math-15030 Integer Predicates in Models of Totally Real Algebraic Integers
- Math-15031 Fields of Definition of Eutactic Forms
- Math-15032 Preperiods and Cycles of Quadratic Polynomial Iteration
- Math-15033 Distribution of Minimal Rational-Point Heights on Fano Intersections
- Math-15034 Euclid-Type Expressions for Primes Congruent to Three Modulo Four
- Math-15035 Hydrodynamic Limits for Non-Gradient Crystal-Lattice Systems
- Math-15036 Low-Vacancy Diffusion in Kinetically Constrained Lattice Gases
- Math-15037 Processes Associated with Regular Representations of Dirichlet Forms
- Math-15038 Johnson-Filtration Images of Stable Heegaard Splittings
- Math-15039 Unbounded Simplicial Volume in Surface-Bundle Families
- Math-15040 Convex Exhaustions of Curve Moduli Spaces
- Math-15041 Asymptotic Lengths of Local Cohomology Modules
- Math-15042 Composition and Elementary Equivalence in Surreal Differential Fields
- Math-15043 Valuation and Simplicity Problems for the Surreal Numbers
- Math-15044 Closure Properties of Logarithmic Hardy Fields
- Math-15045 Distinct Extensions of Surreal Derivations
- Math-15046 Irreducible Factorization in Generalized Power Series Rings
- Math-15047 Surreal Integration Beyond Globally Subanalytic Functions
- Math-15048 Gendered Descriptions and the Leaky Pipeline in Mathematics
- Math-15049 Emmy Noether’s Formation of a Mathematical School
- Math-15050 Barriers to Women in Danish Research Mathematics