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-301 Global Attractor Conjecture for Complex-Balanced Mass-Action Systems
- Math-302 Zariski's Multiplicity Conjecture
- Math-303 Tutte's 5-Flow Conjecture
- Math-304 Secret key from all entangled states
- Math-305 Slice-ribbon problem
- Math-306 Mahler Volume Product Conjecture
- Math-307 Woodin's HOD Conjecture
- Math-308 Amenability of Thompson's Group $F$
- Math-309 Growth Rate of 3-Uniform Hypergraph Ramsey Numbers
- Math-310 The Dynamic Optimality Conjecture for Splay Trees
- Math-311 Birkhoff Conjecture (Near-Boundary Continuous Invariant Foliation)
- Math-312 Unrestricted Linear-Circuit Lower Bound for the Discrete Fourier Transform
- Math-313 Marked Length Spectrum Rigidity Conjecture
- Math-314 10 Lectures and 42 Open Problems — The Grothendieck Constant
- Math-315 The Online Boolean Matrix-Vector Multiplication Conjecture
- Math-316 Bass–Quillen conjecture
- Math-317 Tits Alternative for CAT(0) Groups
- Math-318 Calderón uniqueness for bounded measurable real isotropic conductivities
- Math-319 Fermat-Catalan Conjecture
- Math-320 Original Dubrovin conjecture for Fano manifolds
- Math-321 Unknotting Problem
- Math-322 Smale's 10th Problem: The Pugh Closing Lemma
- Math-323 Finiteness of Finitely Presented Periodic Groups
- Math-324 Erdős Girth Conjecture
- Math-325 Legendre's Conjecture
- Math-326 Hartshorne Conjecture on complete intersections in codimension two
- Math-327 Gromov's Surface Subgroup Question for One-Ended Hyperbolic Groups
- Math-328 Iwasawa mu-invariant conjecture for number fields
- Math-329 Néel Order for the Spin-1/2 Square-Lattice Heisenberg Antiferromagnet (Averaged Ground-State Order)
- Math-330 Chowla Non-Vanishing Conjecture for Dirichlet L-Functions at the Central Point
- Math-331 Irrationality of zeta(5)
- Math-332 Nirenberg Problem on the Two-Sphere
- Math-333 Lions' Open Problem on Small-Time Global Exact Null Controllability of the Navier-Stokes Equations with Dirichlet Boundary Conditions
- Math-334 Worst-case to average-case hardness reduction for the Learning Parity with Noise problem
- Math-335 Arnold Chord Conjecture in Higher Dimensions
- Math-336 Sinai's Positive Metric Entropy Conjecture for the Chirikov Standard Map
- Math-337 Discontinuity of the q-State Potts Phase Transition on Z^d for d >= 3 and q >= 3
- Math-338 Atiyah Conjecture on $L^2$-Betti Numbers
- Math-339 Reconstruction Conjecture
- Math-340 Dixmier Conjecture
- Math-341 Broué's Abelian Defect Group Conjecture
- Math-342 Hadamard Matrix Conjecture
- Math-343 Jones Unknot Conjecture
- Math-344 Real $\tau$-Conjecture for Sparse Polynomial Sums and Products
- Math-345 Shelah's Conjecture on NIP Fields
- Math-346 Alperins Weight Conjecture for Modular Representations of Finite Groups
- Math-347 Congruence Subgroup Property for Mapping Class Groups of Surfaces of Genus at Least Three
- Math-348 Koebe circle-domain uniformization conjecture
- Math-349 Log-Brunn-Minkowski Inequality for Symmetric Convex Bodies
- Math-350 Mazur's finite-components conjecture for rational points