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-7801 Coleman-Oort conjecture: eventual special-subvariety exclusion
- Math-7802 Coding Theory and Combinatorics Problem CC-6: Existence of Finite Projective Planes of Non-Prime-Power Orders
- Math-7803 Separable Quotient Problem for Banach Spaces
- Math-7804 Turan Conjecture on the Turan Density of K_4^{(3)}
- Math-7805 Yau's Conjecture on First Eigenvalues
- Math-7806 Computability of the Shannon Capacity of Finite Graphs
- Math-7807 GNRS Conjecture
- Math-7808 Smale's 6th Problem: Finiteness of Central Configurations
- Math-7809 Frankl's Union-Closed Sets Conjecture
- Math-7810 Fourier Entropy-Influence Conjecture
- Math-7811 Irrationality of Catalan’s Constant
- Math-7812 Measure-zero singular set of stationary integral varifolds
- Math-7813 Martin's Conjecture for Definable Turing-Invariant Functions
- Math-7814 Exact variable accounting for fixed-variable Hilbert's Tenth Problem over the integers
- Math-7815 Brown-Erdos-Sos Conjecture on Sparse Triple Systems
- Math-7816 Uniqueness of Tangent Cones for Area-Minimizing Integral Currents in Higher Codimension
- Math-7817 Zariski Cancellation Problem (characteristic zero, dimension ≥ 3)
- Math-7818 Lebesgue measure of the boundary of the Mandelbrot set
- Math-7819 Boundedness of Compact Hyperkahler Manifolds: Finiteness of Deformation Types in Each Dimension
- Math-7820 Realizable Limit Shapes in Two-Dimensional First-Passage Percolation
- Math-7821 Combinatorial Invariance of Kazhdan–Lusztig Polynomials
- Math-7822 Polynomial-Time P-Matrix Linear Complementarity Problem
- Math-7823 Lück's Determinant Conjecture for Discrete Groups
- Math-7824 Absolute continuity of Bernoulli convolutions outside reciprocal Pisot parameters
- Math-7825 Colmezs Conjecture on Faltings Heights of CM Abelian Varieties
- Math-7826 Greenberg's Iwasawa-invariants conjecture
- Math-7827 Minkowski's conjecture on products of non-homogeneous linear forms
- Math-7828 Sums of Three Cubes Representation Conjecture
- Math-7829 Chen-Yang Volume Conjecture for Turaev-Viro Invariants
- Math-7830 Matroid Secretary Conjecture
- Math-7831 Exact value of the site-percolation threshold on the square lattice
- Math-7832 Stein's Conjecture on the Hilbert Transform along Lipschitz Vector Fields
- Math-7833 Mutually Unbiased Bases in Non-Prime-Power Dimensions
- Math-7834 Hamiltonian paths and cycles in vertex transitive graphs
- Math-7835 Deterministic Linear-Time Minimum Spanning Tree Problem
- Math-7836 Piltz Divisor Problem for k-Fold Divisor Error Terms
- Math-7837 Von Neumann's Problem for II_1 Factors
- Math-7838 Kaplansky's Direct Finiteness Conjecture
- Math-7839 Exponential-Algebraic Closedness
- Math-7840 LeBrun-Salamon Conjecture: positive quaternion-Kahler manifolds are symmetric spaces
- Math-7841 Aaronson-Ambainis Conjecture
- Math-7842 Balanced L4 boundedness of the trilinear Hilbert transform
- Math-7843 Shub entropy conjecture
- Math-7844 Hilbert's Tenth Problem over C(t) with named t
- Math-7845 Li-Li Undirected Multiple-Unicast Network Coding Conjecture
- Math-7846 Deligne–Drinfeld Freeness Conjecture for grt_1
- Math-7847 Small Cohen-Macaulay Conjecture
- Math-7848 Erdős Matching Conjecture
- Math-7849 Uniform epsilon-equilibrium in finite multiplayer stochastic games
- Math-7850 Uniqueness of the KPZ Fixed Point Among Scaling-Covariant Local Fields