Top Open Problems
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
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
5,373 records · Search and filter
- Math-2801 Tame eigensheaves at several marked points
- Math-2802 Ordinary binary affine Liouville correlations
- Math-2803 Additive indecomposability of finite modifications of the primes
- Math-2804 Patterson first moment over Eisenstein primes
- Math-2805 Positive lower density of arbitrarily large normalized prime gaps
- Math-2806 Power-free values of irreducible polynomials of degrees four to eight
- Math-2807 Prime predecessors with even squarefree factor count
- Math-2808 Poisson-Dirichlet factorization of prime predecessors
- Math-2809 Bogomolov-Pop pro-ell reconstruction
- Math-2810 The eleven-twelfths zero-free half-plane
- Math-2811 The seven-eighths zero-free half-plane
- Math-2812 Rationality of the canonical unramified Arthur filtration
- Math-2813 Constructible tame eigensheaves with regular monodromy
- Math-2814 Restricted geometric Langlands in the stated positive-characteristic regimes
- Math-2815 Many primes with power-smooth predecessors
- Math-2816 Open homomorphisms of solvably closed global Galois groups
- Math-2817 Dimension of the full two-adic Hecke algebra at odd level
- Math-2818 The two-primary BSD formula at low two-Selmer corank
- Math-2819 Unramified generic Ramanujan over function fields
- Math-2820 Unrestricted odd two-adic pro-modularity over Q
- Math-2821 Weak inhomogeneous Duffin-Schaeffer
- Math-2822 Weil structures on regular tame eigensheaves
- Math-2823 Finite étale covers with a prescribed exterior sheet and p-divisible disk degrees
- Math-2824 Margulis–Platonov normal subgroups over global function fields
- Math-2825 Absolute bicentralizer conjecture for type III₁ factors
- Math-2826 Abstract Cuntz-semigroup criterion for Jiang–Su absorption
- Math-2827 Approximation paving for every MASA
- Math-2828 Quadratic strong-operator paving for every MASA
- Math-2829 Bounded recovery of modular spectral averages
- Math-2830 Equivariant Jiang–Su absorption for amenable actions
- Math-2831 Removing a fixed amplification in exact C*-algebras
- Math-2832 Single generation of separable-predual finite factors
- Math-2833 Individual and strong pure infiniteness
- Math-2834 Kadison–Kaplansky projection conjecture
- Math-2835 Higher bounded Hochschild cohomology of von Neumann algebras
- Math-2836 Kaplansky quasitrace additivity conjecture
- Math-2837 Equality of microstates and nonmicrostates free entropy
- Math-2838 Filtered smash products of cobordism-null restrictions
- Math-2839 Jiang–Su absorption from Cuntz-semigroup regularity
- Math-2840 Small spatial embeddings from one-way near-inclusions
- Math-2841 Phillips–Toms radius-of-comparison formula for minimal integer actions
- Math-2842 Hyperinvariant subspaces for quasinilpotent Hilbert-space operators
- Math-2843 Relative bicentralizer and continuous-core commutants
- Math-2844 Uniform Gamma from tracial-ultrapower real rank zero
- Math-2845 Kirchberg–Rørdam central-sequence character criterion
- Math-2846 Dimension-one bound after Jiang–Su stabilization for separable nuclear C*-algebras
- Math-2847 Arithmetic classification of twisted lattice correspondences
- Math-2848 Stable recovery of twisted lattice factors
- Math-2849 Universal strong Kadison–Kastler stability for von Neumann algebras
- Math-2850 The optimal one-third stability exponent for compact-target Brenier maps