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-7701 Woodin's HOD Conjecture
- Math-7702 Amenability of Thompson's Group $F$
- Math-7703 Growth Rate of 3-Uniform Hypergraph Ramsey Numbers
- Math-7704 The Dynamic Optimality Conjecture for Splay Trees
- Math-7705 Birkhoff Conjecture (Near-Boundary Continuous Invariant Foliation)
- Math-7706 Unrestricted Linear-Circuit Lower Bound for the Discrete Fourier Transform
- Math-7707 Marked Length Spectrum Rigidity Conjecture
- Math-7708 10 Lectures and 42 Open Problems — The Grothendieck Constant
- Math-7709 The Online Boolean Matrix-Vector Multiplication Conjecture
- Math-7710 Bass–Quillen conjecture
- Math-7711 Tits Alternative for CAT(0) Groups
- Math-7712 Calderón uniqueness for bounded measurable real isotropic conductivities
- Math-7713 Fermat-Catalan Conjecture
- Math-7714 Original Dubrovin conjecture for Fano manifolds
- Math-7715 Unknotting Problem
- Math-7716 Smale's 10th Problem: The Pugh Closing Lemma
- Math-7717 Finiteness of Finitely Presented Periodic Groups
- Math-7718 Erdős Girth Conjecture
- Math-7719 Legendre's Conjecture
- Math-7720 Hartshorne Conjecture on complete intersections in codimension two
- Math-7721 Gromov's Surface Subgroup Question for One-Ended Hyperbolic Groups
- Math-7722 Iwasawa mu-invariant conjecture for number fields
- Math-7723 Néel Order for the Spin-1/2 Square-Lattice Heisenberg Antiferromagnet (Averaged Ground-State Order)
- Math-7724 Chowla Non-Vanishing Conjecture for Dirichlet L-Functions at the Central Point
- Math-7725 Irrationality of zeta(5)
- Math-7726 Nirenberg Problem on the Two-Sphere
- Math-7727 Lions' Open Problem on Small-Time Global Exact Null Controllability of the Navier-Stokes Equations with Dirichlet Boundary Conditions
- Math-7728 Worst-case to average-case hardness reduction for the Learning Parity with Noise problem
- Math-7729 Arnold Chord Conjecture in Higher Dimensions
- Math-7730 Sinai's Positive Metric Entropy Conjecture for the Chirikov Standard Map
- Math-7731 Discontinuity of the q-State Potts Phase Transition on Z^d for d >= 3 and q >= 3
- Math-7732 Atiyah Conjecture on $L^2$-Betti Numbers
- Math-7733 Reconstruction Conjecture
- Math-7734 Dixmier Conjecture
- Math-7735 Broué's Abelian Defect Group Conjecture
- Math-7736 Hadamard Matrix Conjecture
- Math-7737 Jones Unknot Conjecture
- Math-7738 Real $\tau$-Conjecture for Sparse Polynomial Sums and Products
- Math-7739 Shelah's Conjecture on NIP Fields
- Math-7740 Alperins Weight Conjecture for Modular Representations of Finite Groups
- Math-7741 Congruence Subgroup Property for Mapping Class Groups of Surfaces of Genus at Least Three
- Math-7742 Koebe circle-domain uniformization conjecture
- Math-7743 Log-Brunn-Minkowski Inequality for Symmetric Convex Bodies
- Math-7744 Mazur's finite-components conjecture for rational points
- Math-7745 Hopf Conjecture: no metric of positive sectional curvature on S^2 x S^2
- Math-7746 Bott Conjecture: nonnegatively curved simply connected manifolds are rationally elliptic
- Math-7747 Corona problem for the unit polydisc
- Math-7748 3-flow conjecture
- Math-7749 Arithmeticity of Lattices in PU(n,1) for n at Least 4
- Math-7750 Brauer's k(B) Conjecture