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-14401 Calibrations for Unoriented Minimum Matching
- Math-14402 Positive Mass on Simply Connected Nonspin Manifolds
- Math-14403 Infinite Values of the $kappa$-Invariant
- Math-14404 Sharp $hat A$-Genus Bound for the $kappa$-Invariant
- Math-14405 Algebraicity of Perturbative Fiber-Knot Invariants
- Math-14406 Nonsimple Deformation Varieties and Geometrically Isolated Cusps
- Math-14407 The Bounded-Height Conjecture for Hyperbolic Dehn Fillings
- Math-14408 K-Moduli and Minimal Fano Fillings
- Math-14409 Ascending Chain Condition for Log Discrepancies
- Math-14410 Shortest Billiards Beyond Euclidean Convex Bodies
- Math-14411 Displacement-Energy Bound for Plank Coverings
- Math-14412 Planar Regions Avoiding Prescribed Interior Lattice Point Counts
- Math-14413 Embedding Triangular 2-Complexes in 3-Space
- Math-14414 Contractibility of Convex-Position Polygon Spaces
- Math-14415 Sharpness of the One-Round Voronoi Game Bound
- Math-14416 Estimating Probabilities of Unobserved Species
- Math-14417 Constructive Recognition of Matrix-Group Representations
- Math-14418 Finite Generation and Separation in Invariant Rings
- Math-14419 Albanese Kernels over $p$-Adic Fields
- Math-14420 $K$-Theory of $D$-Crystals
- Math-14421 Motivic Sheaves over Dual Numbers
- Math-14422 Weil–Étale Determinant Formulas for L-Values
- Math-14423 Entropy of Hamiltonian Flows on Restricted Contact-Type Hypersurfaces
- Math-14424 Bordism-Valued Moduli Spaces of Morse Flow Lines
- Math-14425 Boundedness of Volume-Preserving Diffeomorphism Groups of Spheres
- Math-14426 Entropy and Geometric Growth of Induced Endomorphisms
- Math-14427 Connectivity and Geometry of Hofer-Metric Annuli
- Math-14428 Complex-Hyperbolic Lattices in Hamiltonian Diffeomorphism Groups
- Math-14429 Equivariant Real-Hyperbolic Embeddings for Deligne–Mostow Lattices
- Math-14430 Conjugacy-Class Growth in Locally Symmetric Lattices
- Math-14431 Linearization of Markov Inverse Problems on Networks
- Math-14432 Paths of Hypercyclic Operators with Common Vectors
- Math-14433 Spectral Criteria for Supercyclic Subspaces
- Math-14434 Equivariant Nullhomotopy of the Regular-Map Derivative
- Math-14435 Parallel Transport Along Sticky Principal Components
- Math-14436 Landmark Kernel Approximation on Algebraic Manifolds
- Math-14437 Nyström Approximation Bounds for Gaussian Kernels
- Math-14438 Tensor-Bundle Parametrization of Diffusion Densities
- Math-14439 Smeariness, Stability, and Strong Consistency on Manifolds
- Math-14440 Geometric Characterization and Removal of Stickiness
- Math-14441 Self-Adjointness of the Isotropy Action on Nilradicals
- Math-14442 Canonical Left-Invariant Metrics on Lie Groups
- Math-14443 Curvature-Derivative Invariants of Homogeneous Spaces
- Math-14444 Parity and Ricci-Flow Evolution of Curvature Invariants
- Math-14445 Geometric Invariant Theory for Homogeneous Spaces
- Math-14446 Maximal Isometry Groups of Solvable Ricci Solitons
- Math-14447 Ricci-Tensor Fibrations for Generalized Flag Manifolds
- Math-14448 Quasi-Invariant Random Measures and Associated Diffusions
- Math-14449 Semigroup Uniqueness for Dirichlet Operators
- Math-14450 Motivic Kontsevich–Zagier Equivalence