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-2521 Finiteness of the little finitistic dimension
- Math-2522 Every irreducible occurs in the staircase tensor square
- Math-2523 Saturation factor one for even Spin groups
- Math-2524 An irreducible tensor square containing every symmetric-group representation
- Math-2525 Self-Ext vanishing over symmetric algebras
- Math-3040 Hilbert's 14th Problem: Finite Generation of Rings
- Math-3041 Hilbert's 17th Problem: Expression of Definite Forms
- Math-3064 Bounds for Approximate Group Classification
- Math-3066 Hadamard Conjecture
- Math-3067 Connes Embedding Problem
- Math-3068 Zauner's Conjecture
- Math-3069 Casas-Alvero Conjecture
- Math-3070 Bounded Burnside Problem
- Math-3071 McKay Conjecture
- Math-3072 Are All Groups Surjunctive?
- Math-3076 The Babai Conjecture on Graph Isomorphism
- Math-3079 The Pierce-Birkhoff Conjecture
- Math-3080 Existence of Generalized Moonshine
- Math-3081 The Surjunctivity Conjecture
- Math-3123 Keisler's Order
- Math-3124 Serre's Conjecture II
- Math-3125 Uniform Boundedness Conjecture for Rational Points
- Math-3280 Elementary symmetric of a sum of matrices
- Math-3286 The Guralnick-Thompson Conjecture
- Math-3291 inverse of an integer matrix
- Math-3402 Algebraic Stories — Generic $k$-rank
- Math-3403 Algebraic Stories — Generic $k$-rank
- Math-3404 Algebraic Stories — Maximal $k$-rank
- Math-3405 Algebraic Stories — Maximal $k$-rank
- Math-3406 Algebraic Stories — The $k$-rank of monomials
- Math-3407 Algebraic Stories — The $k$-rank of monomials
- Math-3408 Algebraic Stories — Degree of the Waring map
- Math-3409 Algebraic Stories — Ideals of generic forms
- Math-3410 Algebraic Stories — Hilbert series of generic power ideals.
- Math-3411 Algebraic Stories — Hilbert series of other classes of ideals
- Math-3412 Algebraic Stories — Hilbert series of other classes of ideals
- Math-3413 Algebraic Stories — Lefschetz properties of graded algebras
- Math-3414 Algebraic Stories — Lefschetz properties of graded algebras
- Math-3415 Algebraic Stories — Lefschetz properties of graded algebras
- Math-3416 Algebraic Stories — Hilbert functions of fat points.
- Math-3417 Algebraic Stories — Symbolic powers vs. ordinary powers.
- Math-3418 Algebraic Stories — Hilbert series of numerical semigroup rings
- Math-3419 Algebraic Stories — Polynomial generation
- Math-3420 Algebraic Stories — Polynomial generation
- Math-3421 Algebraic Stories — Exterior algebras
- Math-3422 Algebraic Stories — Exterior algebras
- Math-3423 Green's conjecture
- Math-3424 Williamson matrix existence problem
- Math-3425 Hadamard's maximal determinant problem
- Math-3459 Problems Around Polynomials — Conjecture 4