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-9751 Rigidity and Assembly Conjectures for Discrete Groups
- Math-9752 Surface Subgroups of Word-Hyperbolic Groups
- Math-9753 Strict Cost–$\ell^2$-Betti Inequalities for Free Group Actions
- Math-9754 Multipoint Seshadri Constants and Nagata-Type Conjectures
- Math-9755 Brennan-Type Integrability for Crescent-Domain Conformal Maps
- Math-9756 Forcing Graphs for Quasirandomness
- Math-9757 Forcing Conjecture for Bipartite Cyclic Graphs
- Math-9758 Rational Ellipticity, Entropy, Euler Characteristic, and Formality
- Math-9759 Algebraic K-Theory and Rigidity Conjectures for Discrete Groups
- Math-9760 Uniform Rectifiability from Bounded Riesz Transforms
- Math-9761 Higher-Dimensional Riesz Transforms and Uniform Rectifiability
- Math-9762 Hill Conjecture for Complete Graph Crossing Numbers
- Math-9763 Classification of Class-VII Complex Surfaces
- Math-9764 Inductive Proofs of Alperin Conjectures
- Math-9765 Inductive Blockwise Alperin Weight Condition
- Math-9766 Uniqueness of Tangent Flows in Mean Curvature Flow
- Math-9767 The Zariski Multiplicity Problem
- Math-9768 De Giorgi Conjecture for Allen–Cahn
- Math-9769 Log Abundance for Semi-Log-Canonical Pairs
- Math-9770 Euclidean Ramsey Configurations and Sphericity
- Math-9771 Toms–Winter Regularity Conjecture
- Math-9772 $\mathcal Z$-Stability and Regularity of Nuclear $C^*$-Algebras
- Math-9773 Kadison–Kastler Conjecture for Separable $C^*$-Algebras
- Math-9774 The Kadison–Kastler conjecture for $C^*$-algebras
- Math-9775 Trace-Cone Classification after Razak–Jacelon Stabilization
- Math-9776 Jiang–Su Embeddings in Character-Free Central Sequence Algebras
- Math-9777 Subhomogeneous Character-Free Subalgebras of Infinite Tensor Powers
- Math-9778 Comparison Properties and Jiang–Su Absorption
- Math-9779 Nuclear Dimension after Jiang–Su Stabilization
- Math-9780 Variance Conjecture for Log-Concave Random Vectors
- Math-9781 Dual-Graph Generation of Tautological Relations
- Math-9782 Minimum Graph Homomorphism Counts at Fixed Density
- Math-9783 Displacement Exponents for Low-Dimensional Self-Avoiding Walks
- Math-9784 Lefschetz Classes and the Tate and Hodge Conjectures
- Math-9785 Rigidity of Completely Close $C^*$-Algebras
- Math-9786 Regularity Properties of Nuclear $C^*$-Algebras
- Math-9787 Homogeneity of Fano Contact Manifolds
- Math-9788 Sidorenko's Inequality for Bipartite Graphs
- Math-9789 Linear Cycle-and-Edge Decompositions of Graphs
- Math-9790 Nonsingularity and Limit Laws for Random Matrices
- Math-9791 Almost-Everywhere Fourier Convergence in $L^{1}$
- Math-9792 Fujita's Global Generation and Very-Ampleness Conjecture
- Math-9793 Enumeration of Graphs with Prescribed Degree Sequences
- Math-9794 Spectrahedrality of Hyperbolicity Cones
- Math-9795 Vanishing of the $hat A$-Genus Under Nonnegative Curvature
- Math-9796 Gromov Macroscopic Dimension Conjecture
- Math-9797 Abundance Conjecture for Projective Minimal Models
- Math-9798 Rational Curves on Compact Kähler Manifolds
- Math-9799 Solvability of Group Equations and Surjectivity of Word Maps
- Math-9800 The mod-$\ell$ Bogomolov–Pop conjecture