Mathematics catalogue
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-201 Artin's Conjecture on Primitive Roots
- Math-202 The Abelian Rank-One Stark Conjecture
- Math-203 Metric TSP Subtour LP Integrality Gap Conjecture
- Math-204 Exact Asymptotic Waring Function G(k)
- Math-205 Local Smoothing for the Euclidean Wave Equation
- Math-206 Long-Range Order in the Quantum Heisenberg Ferromagnet
- Math-207 UCT Problem for Separable Nuclear Complex C*-Algebras
- Math-208 Kaplansky's Zero-Divisor Conjecture for Torsion-Free Groups
- Math-209 Jacob Palis Conjecture(Finitude of Attractors)(Dynamical Systems)
- Math-210 Lehmer’s Mahler Measure Problem
- Math-211 Hilbert-Smith Conjecture
- Math-212 Effective Roth Theorem
- Math-213 Falconer Distance Conjecture
- Math-214 Brauer-Manin obstruction for number-field curves: Hasse-principle form
- Math-215 Hopf Conjecture
- Math-216 Morton–Silverman Uniform Boundedness Conjecture
- Math-217 Polynomial Diameter Bounds for Polyhedra
- Math-218 Global Dynamics of the Vlasov–Maxwell System
- Math-219 Density of Hyperbolicity for Complex Polynomials
- Math-220 Polynomial-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem
- Math-221 Skolem Problem
- Math-222 Sharp Erdos Distinct-Distances Conjecture in the Plane
- Math-223 Polynomial-Time Distribution-Free PAC Learning of DNF Formulas
- Math-224 The Hadwiger-Nelson Problem
- Math-225 Wall's Poincare Duality Group Conjecture
- Math-226 Parshin's conjecture
- Math-227 Babai's Diameter Conjecture for Finite Simple Groups
- Math-228 Sharp integer-root bound for binomial-product programs and a tau-convention audit
- Math-229 Capacity of the Binary Deletion Channel
- Math-230 Serre's Conjecture II on Galois Cohomology of Simply Connected Semisimple Groups
- Math-231 Perfect-Matching Search in Deterministic NC (General Graphs)
- Math-232 Breuil-Mezard conjecture: equality of the Galois and automorphic sides
- Math-233 Berry random-wave conjecture: real negative-curvature BS formulation
- Math-234 Shafarevich Freeness Conjecture over Qab
- Math-235 Zauner's Conjecture (SIC-POVM)
- Math-236 All-Pairs Shortest Paths in Truly Subcubic Time
- Math-237 Kirby Problem 4.15
- Math-238 Kawamata's K-Equivalence Implies D-Equivalence Conjecture
- Math-239 De Giorgi Conjecture for the Allen–Cahn Equation
- Math-240 Serre's Uniformity Problem for Elliptic Curves
- Math-241 Virasoro conjecture
- Math-242 Strict special-point sequences, Galois component weights, and the correct Haar target
- Math-243 Zagier's dimension conjecture for classical multiple zeta values
- Math-244 Morrison’s Cone Conjecture for Calabi–Yau Pairs
- Math-245 K(pi,1) conjecture for Artin groups
- Math-246 Vaught Conjecture
- Math-247 Universal Optimality of the Hexagonal Lattice in Dimension Two
- Math-248 Witten's Asymptotic Expansion Conjecture for SU(2) WRT Invariants
- Math-249 Odd Perfect Numbers
- Math-250 Exact satisfiability threshold for random k-SAT for small k (k = 3)