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-9801 The chromatic splitting conjecture
- Math-9802 Chromatic Splitting of the Local Sphere
- Math-9803 Chromatic Fiber Structure at Bad Primes
- Math-9804 Bogomolov–Gieseker Inequality for Tilt-Semistable Threefold Complexes
- Math-9805 Strong Locality and Reconstruction of Vertex Operator Algebras
- Math-9806 Eigenvalue Counts for Low-Degree Random Regular Graphs
- Math-9807 Injectivity of the Baum–Connes Assembly Map
- Math-9808 Strong Cosmic Censorship at Weak Regularity
- Math-9809 Full-Measure Families of Ergodic Irrational Polygons
- Math-9810 Petty's projection-body conjecture
- Math-9811 Color Savings and Strong Chromatic Index Bounds
- Math-9812 Packing and Covering for Infinite Matroids
- Math-9813 Stanley–Stembridge Chromatic Symmetric Function Conjecture
- Math-9814 Polynomial Algorithms for Mean-Payoff Games and Linear Programming
- Math-9815 Hemisphere Partition Functions and Stability Across GLSM Phases
- Math-9816 Donovan’s Finiteness Conjecture for Fixed Defect Groups
- Math-9817 Multistationarity and Permanence in MESSI Reaction Networks
- Math-9818 Absolute Continuity Parameters for Bernoulli Convolutions
- Math-9819 Real Baum–Connes Isomorphism Conjecture
- Math-9820 Finiteness of Atypical Hodge Subvarieties
- Math-9821 Universal Bounds on Atomic Excess Charge
- Math-9822 Lech Multiplicity Conjecture for Flat Local Extensions
- Math-9823 Amenability of Thompson Group and Interval Homeomorphism Groups
- Math-9824 Finiteness of Optimal Points in Shimura Subvarieties
- Math-9825 Persistence and Permanence of Weakly Reversible Reaction Networks
- Math-9826 $L^p$ Bounds for the Triangular Hilbert Transform
- Math-9827 Cartan–Hadamard Isoperimetric Conjecture
- Math-9828 Universal-Cover Decomposition for Nef Anticanonical Manifolds
- Math-9829 Kobayashi Pseudometric Vanishing on Calabi–Yau Manifolds
- Math-9830 Generalized Riemann Hypothesis for Automorphic L-Functions
- Math-9831 Nuclear Dimension of Transformation-Group Crossed Products
- Math-9832 Toms–Winter Regularity Conjecture
- Math-9833 Uniform Property Gamma for Nuclear $C^*$-Algebras
- Math-9834 Absolute Continuity and Densities of Bernoulli Convolutions
- Math-9835 Minimum Distinct Distances Among Planar Point Sets
- Math-9836 Falconer Distance Conjecture in the Plane
- Math-9837 Distances in Decorated Random Planar Maps
- Math-9838 Rank-One Equivalences for Elliptic Curves
- Math-9839 Equivalence of Affine-Space Embeddings Under Automorphisms
- Math-9840 Almost Everywhere Regularity of Parametrized Stationary Varifolds
- Math-9841 Mass–Angular-Momentum Inequalities with Trapped and Multiple Horizons
- Math-9842 $d$-to-$1$ Games Conjecture
- Math-9843 Mahler’s Volume Conjecture
- Math-9844 Planar Log-Brunn–Minkowski After Translation
- Math-9845 The $L_p$ Brunn–Minkowski Conjecture
- Math-9846 Hadwiger’s Coloring Conjecture and Its Odd-Minor Variant
- Math-9847 Optimal Fourier Restriction Estimates on Submanifolds
- Math-9848 Birkhoff Rigidity Conjecture for Convex Billiards
- Math-9849 Local Birkhoff Rigidity Near Elliptical Billiards
- Math-9850 Arnold Fixed Point Bound by Cup Length