Algebra
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-1839 Problems Around Polynomials — Problem 3
- Math-1840 Problems Around Polynomials — Problem 4
- Math-1841 Problems Around Polynomials — Problem 5
- Math-1842 Problems Around Polynomials — Problem 6
- Math-1843 Problems Around Polynomials — Problem 7
- Math-2146 A moments problem I
- Math-2147 A moments problem II
- Math-2148 Around Kouchnirenko's conjecture I
- Math-2149 Around Kouchnirenko's conjecture II
- Math-2187 Kaplansky's Conjectures
- Math-2191 Sofic Groups
- Math-2193 Serre's Positivity Conjecture
- Math-2194 Arthur's Conjectures
- Math-2200 Crouzeix's Conjecture
- Math-2211 Zariski–Lipman conjecture
- Math-2315 Strong Nakayama Conjecture
- Math-2344 Alperin Weight Conjecture and Perfect Localities
- Math-2345 The Lex-Plus-Powers Betti Number Conjecture
- Math-2377 Toms–Winter Regularity Conjecture
- Math-2378 $\mathcal Z$-Stability and Regularity of Nuclear $C^*$-Algebras
- Math-2379 Kadison–Kastler Conjecture for Separable $C^*$-Algebras
- Math-2380 The Kadison–Kastler conjecture for $C^*$-algebras
- Math-2381 Trace-Cone Classification after Razak–Jacelon Stabilization
- Math-2382 Jiang–Su Embeddings in Character-Free Central Sequence Algebras
- Math-2383 Subhomogeneous Character-Free Subalgebras of Infinite Tensor Powers
- Math-2384 Comparison Properties and Jiang–Su Absorption
- Math-2385 Nuclear Dimension after Jiang–Su Stabilization
- Math-2391 Rigidity of Completely Close $C^*$-Algebras
- Math-2392 Regularity Properties of Nuclear $C^*$-Algebras
- Math-2411 Strong Locality and Reconstruction of Vertex Operator Algebras
- Math-2422 Donovan’s Finiteness Conjecture for Fixed Defect Groups
- Math-2428 Lech Multiplicity Conjecture for Flat Local Extensions
- Math-2437 Nuclear Dimension of Transformation-Group Crossed Products
- Math-2438 Toms–Winter Regularity Conjecture
- Math-2439 Uniform Property Gamma for Nuclear $C^*$-Algebras
- Math-2459 Equivalence of Nuclear Dimension, Z-Stability, and Strict Comparison
- Math-2499 Structural Problems for $C^*$- and von Neumann Algebras
- Math-2508 Pure-power Hilbert functions for complex Artinian complete intersections
- Math-2509 Lex-plus-powers Betti bounds for Artinian quotients over C
- Math-2510 Projectivity from simultaneous self-Ext and algebra-Ext vanishing
- Math-2511 A dimension-free quadratic bound for the canonical Foulkes–Howe map
- Math-2512 Complex group-ring traces vanish on infinite-order classes
- Math-2513 Deciding finite-algebra congruence-lattice representability
- Math-2514 Higher Verlinde fiber functors in positive characteristic
- Math-2515 Foulkes inclusion for the sixth symmetric power
- Math-2516 Integral block finiteness over a fixed complete valuation ring
- Math-2517 Integral K3 injectivity for regular local domains
- Math-2518 Integral K5 injectivity for regular local domains
- Math-2519 Finite central dimension of algebraic finitely generated division rings
- Math-2520 Finite torsion-class support for traces over l1 group algebras