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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-2205 Kirby Problem 3.24
- Math-2206 Kirby Problem 4.46
- Math-2207 Kirby Problem 5.3
- Math-2259 Problem 2 — (Billiards in general polygons).
- Math-2260 Major problems 5 — The chromatic splitting conjecture, which is considerably more complicated to state.
- Math-2261 Morava K- and E-theory 1 — Show that pi_* L_K(n) S^0 is finitely generated over the p-adics in each degree.
- Math-2262 Morava K- and E-theory 5 — Find the shadow of the thick subcategory theorem in the K(n)-local category.
- Math-2311 An arithmetic and angular reduction for the 3-4-5 triangular billiard
- Math-2320 Baum–Connes Conjecture for Torsion-Free Groups
- Math-2407 The chromatic splitting conjecture
- Math-2408 Chromatic Splitting of the Local Sphere
- Math-2409 Chromatic Fiber Structure at Bad Primes
- Math-2413 Injectivity of the Baum–Connes Assembly Map
- Math-2433 Cartan–Hadamard Isoperimetric Conjecture
- Math-2456 Arnold Fixed Point Bound by Cup Length
- Math-2457 Chromatic Fixed-Point Implications for Finite p-Groups
- Math-2458 Realizing Chromatic Types at Nested Fixed Points
- Math-2468 Positive Scalar Curvature Obstruction for Aspherical Manifolds
- Math-2495 Existence of the Smith–Toda Complex $V(4)$
- Math-3019 Elementary expansion for Grothendieck infinity-groupoids
- Math-3020 Curtis stable mod-two Hurewicz image
- Math-3021 Filtered chromatic splitting at generic primes
- Math-3022 Hahn–Wilson thick generation at fp-type two
- Math-3023 Finite assembly of the height-three chromatic overlap
- Math-3024 Rational injectivity of maximal coarse assembly
- Math-3025 Pure cosmetic surgery for knots in the three-sphere
- Math-3026 Rational injectivity of reduced coarse assembly
- Math-3027 Singer vanishing in dimension four
- Math-3028 Thomason structures in all strict categorical dimensions
- Math-3029 Kervaire detection at the prime three
- Math-3030 Wall D(2) problem with a finite target model
- Math-3098 Novikov Conjecture
- Math-3126 Berge Conjecture
- Math-3127 Volume Conjecture
- Math-3163 Kirby Problem 1.4
- Math-3164 Kirby Problem 1.7
- Math-3165 Kirby Problem 1.15
- Math-3166 Kirby Problem 1.18
- Math-3167 Kirby Problem 1.20
- Math-3168 Kirby Problem 1.21
- Math-3169 Kirby Problem 1.22
- Math-3170 Kirby Problem 1.23
- Math-3171 Kirby Problem 1.28
- Math-3172 Kirby Problem 1.31
- Math-3173 Kirby Problem 1.33
- Math-3174 Kirby Problem 1.34
- Math-3175 Kirby Problem 1.35
- Math-3176 Kirby Problem 1.36
- Math-3177 Kirby Problem 1.37
- Math-3178 Kirby Problem 1.38