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-15401 Maximum Additive Multiplicity in Logarithmic Random Sets
- Math-15402 Counting Integer Matrices with Prescribed Minor Scales
- Math-15403 Equal Sum Counts for Increasing Ratio Sequences
- Math-15404 Structure Algebras of Yang–Baxter Solutions
- Math-15405 Related Solutions from Prime Structure-Algebra Quotients
- Math-15406 Algebraic Invariants of Yang–Baxter Map Order
- Math-15407 Second-Cohomology Torsion of Finite Abelian Quandles
- Math-15408 Prevalence of Multipermutation Yang–Baxter Solutions
- Math-15409 Yang–Baxter Solutions from Skew Lattices
- Math-15410 Yang–Baxter Solutions from Noncommutative Lattices
- Math-15411 Bijectivity of the Quantum Symmetrizer
- Math-15412 Classification of Rank-One Groups
- Math-15413 Free Quasi-Actions and Almost-Ramanujan Subgroups
- Math-15414 Partition Formulas for Tautological Rings of General Curves
- Math-15415 Algebraic Fundamental Groups Below the Noether Line
- Math-15416 Conditional Harder-Congruence Theorem
- Math-15417 Conditional Modularity Theorem for Chow Cycles
- Math-15418 Comparing Eisenstein and Twisted Doubling L Functions
- Math-15419 Siegel Type Fourier Expansions Without Complex Structures
- Math-15420 Crossing Bounds and Shape Functions in Anisotropic Percolation
- Math-15421 Invariant Distribution Sheaves for Rank-One Lie Groups
- Math-15422 Minimaxity and Admissibility Under Ensemble Risks
- Math-15423 $\lambda$-Independence and Hodge Groups of Motives
- Math-15424 Centers of Irreducible Hodge Groups
- Math-15425 Evaluating Teachers’ Responses to Mathematics Test Items
- Math-15426 Societal Responsibilities of Mathematics Teacher Educators
- Math-15427 Frameworks for Mathematical Knowledge in Teaching
- Math-15428 Developing Teachers’ Usable Mathematical Knowledge
- Math-15429 Backward-Stable Numerical Implicitization of Rational Parametrizations
- Math-15430 Structural Problems for Units of Integral Group Rings
- Math-15431 Isomorphism and Torsion-Unit Problems for Group Algebras
- Math-15432 Centers, Normalizers, and Units of Integral Group Rings
- Math-15433 Representativeness of Symmetry-Reduced Molecular Dynamics
- Math-15434 Large-Scale Geometry of Graphs and Manifolds
- Math-15435 Long Cycles in Induced-Ramsey Graph Constructions
- Math-15436 Efficient Extraction of Interval Summands
- Math-15437 Realization Functors as Derived Equivalences
- Math-15438 Geometry and Mutation of Quiver Grassmannians
- Math-15439 Classification of Generalized Quaternion-Type Algebras
- Math-15440 Caldero–Chapoton Maps for General Hereditary Algebras
- Math-15441 Quasi-Optimality for Nonconforming Galerkin Spaces
- Math-15442 Convergence of Standard Cantor Prefractal Boundary Approximations
- Math-15443 Inf–Sup Stability for Nonconforming Multiple Traces
- Math-15444 Information Complexity of Multivariate Integration and Approximation
- Math-15445 Random Versus Optimal Information for Approximation and Integration
- Math-15446 Random Information for Weighted Approximation Problems
- Math-15447 Large Deviations for Random High-Dimensional Projections
- Math-15448 The Boundary Singer Conjecture
- Math-15449 Quantitative Complexity of Homotopy Representatives and Homotopies
- Math-15450 Travelling-Salesman Girth and Metric Ordering Ratios