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-14601 Full-Dimension Intersections in Definable Families
- Math-14602 Ground States of the Gaussian Core Model
- Math-14603 Representation of Quadratic Forms by Lattices and Genera
- Math-14604 Indefinite Theta Series and Real Jacobi Representations
- Math-14605 Formal Duality of Energy Minimizing Periodic Point Sets
- Math-14606 Higher-Order Principal Components on Riemannian Manifolds
- Math-14607 Scale-Invariant Distances between Curves in Shape Space
- Math-14608 Discretization of Elastic Curves in Shape Spaces
- Math-14609 Schubert Classes in the Gamma Filtration
- Math-14610 Orientable Cohomology Theories with Universal Chern Operations
- Math-14611 Dynamical Reconstruction from Bare Crossed Product Banach Algebras
- Math-14612 Factorization of Equivariant Dirac Operators and Spectral Triples
- Math-14613 Koopman Operators for Switched Infinite-Dimensional Systems
- Math-14614 State-Dependent Koopman Operators for Switching Systems
- Math-14615 Observable Spaces Capturing Koopman Dynamics
- Math-14616 Pointwise Convergence of Koopman Laplace Averages
- Math-14617 Comparative Accuracy of Spline and Finite-Element Bases
- Math-14618 General Quadrature for Isogeometric Galerkin Methods
- Math-14619 Invariant and Smash-Product Hochschild Cohomology
- Math-14620 Classification of Elliptic Affine Spheres and Hemispheres
- Math-14621 Existence of Global Monomial Orders for PBW Bases
- Math-14622 Kostka–Shoji Formula for Graded Modules
- Math-14623 Moment-Map Images as Duistermaat–Heckman Supports
- Math-14624 Higher-Dimensional Theory of Unexpected Curves
- Math-14625 Absolute Linear Harbourne Constants
- Math-14626 Explicit Formula for Absolute Linear Harbourne Constants
- Math-14627 Detection Gaps Between Parametric and Kernel Tests
- Math-14628 Adaptive Honest Confidence Intervals Under Moderate Sparsity
- Math-14629 Extremal Difficulty of Tree Flow Estimation
- Math-14630 Efficient Numerical Transport between Smooth Densities
- Math-14631 Pluri-Lagrangian Integrability of Discrete Variational Systems
- Math-14632 Geometric Analysis Table-of-Contents Fragment
- Math-14633 Einstein Metrics Table-of-Contents Fragment
- Math-14634 Symplectic Structures and Einstein Metrics
- Math-14635 Flow Limits of Local Mass Invariants
- Math-14636 Doubling and Homotopy of Positive Scalar Curvature Metrics
- Math-14637 Degrees of Asymptotically Conical Expanders Under Connected Sum
- Math-14638 Abundance of Zoll Flows in Hamiltonian Systems
- Math-14639 Uniform Long-Time Sobolev Bounds for Nonlinear Beam Equations
- Math-14640 Spatially Periodic Reaction-Diffusion Patterns and Homoclinic Entropy
- Math-14641 Wave Amplification of Upper Ocean Currents
- Math-14642 Spectral-Geometry Workshop Overview
- Math-14643 Geometric Bounds for Magnetic-Laplacian Ground States
- Math-14644 Heat-Content Asymptotics for Polyhedra and Other Planar Domains
- Math-14645 Conformal Spinorial Eigenvalue Infimum on the Torus
- Math-14646 Bessel-Function Solutions of Inhomogeneous Laplace Equations
- Math-14647 Spherical Robin-Eigenvalue Maximization Beyond Known Regimes
- Math-14648 Genus-Free Steklov-Eigenvalue Bound
- Math-14649 Landau-Level Multiplicities and Sign-Changing Spherical Interfaces
- Math-14650 Pólya-Type Spectral Inequalities for Manifold Families