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-7601 UCT Problem for Separable Nuclear Complex C*-Algebras
- Math-7602 Kaplansky's Zero-Divisor Conjecture for Torsion-Free Groups
- Math-7603 Jacob Palis Conjecture(Finitude of Attractors)(Dynamical Systems)
- Math-7604 Lehmer’s Mahler Measure Problem
- Math-7605 Hilbert-Smith Conjecture
- Math-7606 Effective Roth Theorem
- Math-7607 Falconer Distance Conjecture
- Math-7608 Brauer-Manin obstruction for number-field curves: Hasse-principle form
- Math-7609 Hopf Conjecture
- Math-7610 Morton–Silverman Uniform Boundedness Conjecture
- Math-7611 Polynomial Diameter Bounds for Polyhedra
- Math-7612 Global Dynamics of the Vlasov–Maxwell System
- Math-7613 Density of Hyperbolicity for Complex Polynomials
- Math-7614 Polynomial-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem
- Math-7615 Skolem Problem
- Math-7616 Sharp Erdos Distinct-Distances Conjecture in the Plane
- Math-7617 Polynomial-Time Distribution-Free PAC Learning of DNF Formulas
- Math-7618 The Hadwiger-Nelson Problem
- Math-7619 Wall's Poincare Duality Group Conjecture
- Math-7620 Parshin's conjecture
- Math-7621 Babai's Diameter Conjecture for Finite Simple Groups
- Math-7622 Sharp integer-root bound for binomial-product programs and a tau-convention audit
- Math-7623 Capacity of the Binary Deletion Channel
- Math-7624 Serre's Conjecture II on Galois Cohomology of Simply Connected Semisimple Groups
- Math-7625 Perfect-Matching Search in Deterministic NC (General Graphs)
- Math-7626 Breuil-Mezard conjecture: equality of the Galois and automorphic sides
- Math-7627 Berry random-wave conjecture: real negative-curvature BS formulation
- Math-7628 Shafarevich Freeness Conjecture over Qab
- Math-7629 Zauner's Conjecture (SIC-POVM)
- Math-7630 All-Pairs Shortest Paths in Truly Subcubic Time
- Math-7631 Kirby Problem 4.15
- Math-7632 Kawamata's K-Equivalence Implies D-Equivalence Conjecture
- Math-7633 De Giorgi Conjecture for the Allen–Cahn Equation
- Math-7634 Serre's Uniformity Problem for Elliptic Curves
- Math-7635 Virasoro conjecture
- Math-7636 Strict special-point sequences, Galois component weights, and the correct Haar target
- Math-7637 Zagier's dimension conjecture for classical multiple zeta values
- Math-7638 Morrison’s Cone Conjecture for Calabi–Yau Pairs
- Math-7639 K(pi,1) conjecture for Artin groups
- Math-7640 Vaught Conjecture
- Math-7641 Universal Optimality of the Hexagonal Lattice in Dimension Two
- Math-7642 Witten's Asymptotic Expansion Conjecture for SU(2) WRT Invariants
- Math-7643 Odd Perfect Numbers
- Math-7644 Exact satisfiability threshold for random k-SAT for small k (k = 3)
- Math-7645 Hopf conjecture for nonnegative sectional curvature
- Math-7646 Quantum versus Classical Communication Complexity of Total Functions
- Math-7647 Banach-Mazur Rotation Problem
- Math-7648 Reliability Function of the Binary Symmetric Channel Below the Critical Rate
- Math-7649 Dynamical Mordell–Lang Conjecture
- Math-7650 Kadison Similarity Problem for C*-Algebras