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-6551 Real Orbit Counts on Wonderful Varieties
- Math-6552 Monochromatic Structures below Random Density
- Math-6553 Toric Hypersurface Implicitization from Syzygies
- Math-6554 Real Fixed Points of the Minkowski Question-Mark Function
- Math-6555 Exceptional-Unit Bounds by Algebraic Degree
- Math-6556 Conditional Sparse-Decomposition Theorem
- Math-6557 Mixed Littlewood Conjecture for Pseudo-Absolute Values
- Math-6558 Additivity of Triangulation Complexity under Connected Sum
- Math-6559 Dual-Diameter Bounds for Triangulated Surfaces
- Math-6560 Triangulations of 3-Manifolds with Edge Valences Five and Six
- Math-6561 Maximum Edge Counts of Geometric Polyhedral Surfaces
- Math-6562 The Two-Dimensional Time-Bomb Conjecture
- Math-6563 Maximum Families of Pairwise Colliding Permutations
- Math-6564 Common Branched Covers from Equal Hasse–Weil Zeta Functions
- Math-6565 List-Labeling Equality for Trees
- Math-6566 Normality Probability of Intermediate-Density Random Graphs
- Math-6567 Complexity of Maximum Tutte Sets and D-Graph Recognition
- Math-6568 Equal-Area Drawings of Plane Triangulations
- Math-6569 Gaps Between Piecewise-Linear and Linear Embedding Dimensions
- Math-6570 Lagrangian Embeddings of Closed Three-Manifolds
- Math-6571 Additive Eigenvalue Bounds for Domain Boundaries
- Math-6572 Harmonic Test Inequalities Above the First Eigenvalue
- Math-6573 Derived Schläfli Formula for Spherical Cone Metrics
- Math-6574 Rationality and Computation of Free-Group Rotation Suprema
- Math-6575 Refined Slippery Bounds for Positive-Word Rotation Numbers
- Math-6576 Translated-Point Bounds for Small Contact Isotopies
- Math-6577 Nonconjugate $\operatorname{SL}_3$-Character-Equivalent Free-Group Words
- Math-6578 Rigidity of Symmetric-Gradient Differential Inclusions
- Math-6579 Direct-Summand Property for Selmer Restriction Images
- Math-6580 Short Hamiltonian Cycles and Matchings in Convex Bodies
- Math-6581 Lower Bounds for Fractional Lévy-Area Approximation
- Math-6582 L-Space Conjecture
- Math-6583 Polynomial Separation at Roots of Unity
- Math-6584 Lower Bounds for Sums of Roots of Unity
- Math-6585 Jet Curvature and the First Chern Class
- Math-6586 Sharp Tail Decay for Persistent Critical Crossings
- Math-6587 Toric Orbits Meeting Subvariety Closures
- Math-6588 Sharp Syzygy Bounds for Torus Actions
- Math-6589 Roth Recurrence in Groups of Intermediate Growth
- Math-6590 Generator Rank of Direct Sums
- Math-6591 Lyapunov Functions for Three-Dimensional Acoustic PML Systems
- Math-6592 Representation and Limits of Fractional Infinity Eigenfunctions
- Math-6593 Variation Limits for Pure-Jump Semimartingales
- Math-6594 Frame Property of the Gaussian Gabor System on $\Lambda_3$
- Math-6595 Weakening General Position in Signed Simplex Representations
- Math-6596 Muckenhoupt Thresholds for Integer-Translate Schauder Bases
- Math-6597 Concentration of Largest Triangular Submatrices in Random Matrices
- Math-6598 Hierarchical Refinement of Symmetric-Group Coset Partitions
- Math-6599 Sublinear Bounds for Disjoint Homometric Vertex Sets
- Math-6600 Global Willmore Minimizers Near the Clifford Torus