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-15551 Arithmetic Education and Numerical Resources in the Nineteenth Century
- Math-15552 Worldviews as Historical Categories in Mathematics
- Math-15553 Vanishing Theorems for Complete Intersections in Homogeneous Spaces
- Math-15554 Homological Structure of Planar Self-Stress Identities
- Math-15555 Positive Self-Stress Functionals on Planar $K_{4}$ Embeddings
- Math-15556 Alternating Cyclic-Quotient Identities over Commutative Fields
- Math-15557 Origami, Triangle-Area, and Circle-Packing Rigidity Problems
- Math-15558 Polygon Development and Higher-Dimensional Discrete Integrability
- Math-15559 Almost-Rational Automorphisms of Higher Prime-Power Order
- Math-15560 Mass-Constrained Neumann and Steklov Eigenvalue Maximization
- Math-15561 Fractal Optimizers in Spectral Isoperimetric Problems
- Math-15562 Sharp Geometric Constants for Simply Connected Planar Domains
- Math-15563 Critical Fractional and Hardy–Lieb–Thirring Inequalities
- Math-15564 Refinements and Degenerations in Schrödinger Spectral Gaps
- Math-15565 Magnetic, Robin, and Hot-Spots Spectral Gap Questions
- Math-15566 Mathematical Uses of Category Theory
- Math-15567 Natural Limits of Categorical Methods
- Math-15568 Factorizations from Minimal Exchangeable Random Sequences
- Math-15569 Non-Specific Time-Reflection Research Direction
- Math-15570 Finite Correlation Determination of Primitive Substitutions
- Math-15571 Derived Equivalence from Intersection Cohomology Extensions
- Math-15572 Models for Three or More Commuting Contractions
- Math-15573 Geometric Information Encoded by Seshadri Constants
- Math-15574 a-Invariants of Quasi-Gorenstein Projective Cones
- Math-15575 Linear-Time Algorithms for Deterministic Graphical Games
- Math-15576 Modular and Local Limit Theorems for Subgraph Counts
- Math-15577 Instability of Multi-Peaked Orientational Steady States
- Math-15578 Metric Diameters of Measures with Prescribed Interval Masses
- Math-15579 Multiplicity of Blow-Up Points in the Sinh–Gordon Equation
- Math-15580 Sublinear Lane–Emden Ground-State Asymptotics
- Math-15581 Open–Closed Conformal-Field Structure in String Topology
- Math-15582 Descriptive Cellular-Membrane Research Theme
- Math-15583 Geometry of Galois Representation Spaces
- Math-15584 $K_1$ Groups and Theta Images of Iwasawa Algebras
- Math-15585 Descriptive Singular-Complex Observation
- Math-15586 Comparison Maps in Motivic Cohomology of Central Simple Algebras
- Math-15587 Dense Hamiltonian Trajectories Near Integrable Systems
- Math-15588 Invariant Sets of Simplex Piecewise Translations
- Math-15589 Connections Between Simplex and Torus Translations
- Math-15590 Universal Integral Relations for Closed Polygons
- Math-15591 Escape Dynamics Under Varying Billiard Holes
- Math-15592 Distribution of Rational Points on Varieties
- Math-15593 Height Heuristics for Bombieri–Lang in Higher Dimensions
- Math-15594 Algebraic Cycles Realizing Modular Differential Forms
- Math-15595 Galois Equivariance of Generalized Heegner-Cycle Images
- Math-15596 Local Period Factors for Quaternionic Transfers
- Math-15597 General-Flux Existence for Stationary Three-Dimensional Navier–Stokes
- Math-15598 Physically Admissible Weak Solutions of Incompressible Euler
- Math-15599 Integrability of Free-Surface Potential Flow
- Math-15600 Deformations of Canonical Projective Structures on Hyperbolic Three-Manifolds