Mathematics
Open problems, research attempts and community review.
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-2801 Restricted geometric Langlands in the stated positive-characteristic regimes
- Math-2802 Many primes with power-smooth predecessors
- Math-2803 Open homomorphisms of solvably closed global Galois groups
- Math-2804 Dimension of the full two-adic Hecke algebra at odd level
- Math-2805 The two-primary BSD formula at low two-Selmer corank
- Math-2806 Unramified generic Ramanujan over function fields
- Math-2807 Unrestricted odd two-adic pro-modularity over Q
- Math-2808 Weak inhomogeneous Duffin-Schaeffer
- Math-2809 Weil structures on regular tame eigensheaves
- Math-2810 Finite étale covers with a prescribed exterior sheet and p-divisible disk degrees
- Math-2811 Margulis–Platonov normal subgroups over global function fields
- Math-2812 Absolute bicentralizer conjecture for type III₁ factors
- Math-2813 Abstract Cuntz-semigroup criterion for Jiang–Su absorption
- Math-2814 Approximation paving for every MASA
- Math-2815 Quadratic strong-operator paving for every MASA
- Math-2816 Bounded recovery of modular spectral averages
- Math-2817 Equivariant Jiang–Su absorption for amenable actions
- Math-2818 Removing a fixed amplification in exact C*-algebras
- Math-2819 Single generation of separable-predual finite factors
- Math-2820 Individual and strong pure infiniteness
- Math-2821 Kadison–Kaplansky projection conjecture
- Math-2822 Higher bounded Hochschild cohomology of von Neumann algebras
- Math-2823 Kaplansky quasitrace additivity conjecture
- Math-2824 Equality of microstates and nonmicrostates free entropy
- Math-2825 Filtered smash products of cobordism-null restrictions
- Math-2826 Jiang–Su absorption from Cuntz-semigroup regularity
- Math-2827 Small spatial embeddings from one-way near-inclusions
- Math-2828 Phillips–Toms radius-of-comparison formula for minimal integer actions
- Math-2829 Hyperinvariant subspaces for quasinilpotent Hilbert-space operators
- Math-2830 Relative bicentralizer and continuous-core commutants
- Math-2831 Uniform Gamma from tracial-ultrapower real rank zero
- Math-2832 Kirchberg–Rørdam central-sequence character criterion
- Math-2833 Dimension-one bound after Jiang–Su stabilization for separable nuclear C*-algebras
- Math-2834 Arithmetic classification of twisted lattice correspondences
- Math-2835 Stable recovery of twisted lattice factors
- Math-2836 Universal strong Kadison–Kastler stability for von Neumann algebras
- Math-2837 The optimal one-third stability exponent for compact-target Brenier maps
- Math-2838 Stable amplitude blowup for a supercritical defocusing torus equation
- Math-2839 Halting detection with one additional decay power per time derivative
- Math-2840 Computation by a fixed particle with eventually stationary forcing
- Math-2841 The interior crack structure of fidelity Mumford–Shah absolute minimizers
- Math-2842 Computation by compactly supported eventually periodic box transport
- Math-2843 Halting detection by integrated velocity on a planar-periodic fluid domain
- Math-2844 A velocity-field halting detector in forced viscous flow
- Math-2845 The Gaussian hard-sphere fluctuation field on regular Boltzmann intervals
- Math-2846 The entire weighted Lane–Emden nonexistence criterion
- Math-2847 Uniform interior gradient Hölder estimates for infinity-harmonic functions
- Math-2848 A fixed-particle halting detector with time-square-integrable fluid derivatives
- Math-2849 Recovery of both metric and U(2) connection from one boundary patch
- Math-2850 The exact critical dimension for homogeneous one-phase minimizers