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-10001 Shareshian–Wachs elementary positivity for chromatic quasisymmetric functions
- Math-10002 Graph decomposition at the integral expectation threshold
- Math-10003 Log-squared sharp threshold for monotone graph properties
- Math-10004 Power improvement for planar halving lines
- Math-10005 Power improvement over exponent two in Heilbronn triangle constructions
- Math-10006 Optimal-order distinct distances in every dimension at least three
- Math-10007 Uniform variance-influence bound for hypergraph properties
- Math-10008 Integral and fractional expectation thresholds within a constant factor
- Math-10009 Degree-uniform power saving for intersective polynomial differences
- Math-10010 Polynomial induced removal for ordered binary matrices
- Math-10011 Periodic tilings by bounded measurable sets in three dimensions
- Math-10012 Periodic translational tiling in dimension three
- Math-10013 Five-colorability of the unit-distance plane
- Math-10014 Power saving for prime-intersective polynomial differences
- Math-10015 Quasipolynomial density decay for progression-free sets
- Math-10016 Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers
- Math-10017 Maker winning strategy for Snaky on the infinite square lattice
- Math-10018 Talagrand discrete convexity conjecture
- Math-10019 Sharp terminal edge count in random triangle removal
- Math-10020 Power improvement over the planar unit-distance exponent four thirds
- Math-10021 Weak pinned planar distance assertion
- Math-10022 Triangular-cylinder approximation of aligned radial sweeps
- Math-10023 Half-minimum-area bound for cylinder covers
- Math-10024 Linear coefficient of minimum spherical logarithmic energy
- Math-10025 Binary edit distance has exponential-scale L1 distortion
- Math-10026 Uniform L1 distortion for bounded treewidth
- Math-10027 Simplex maximum for projection-body volume
- Math-10028 Directionwise normalized cylinder-covering bound
- Math-10029 Sharp exponential scale of edit-distance distortion
- Math-10030 One signing for all Euclidean prefixes
- Math-10031 Euclidean Steinitz–Bergström bound
- Math-10032 Gaussian propeller partition bound
- Math-10033 Logarithmic Sobolev inequality from subgaussian marginals
- Math-10034 Sharp entropy lower bound for log-concave densities
- Math-10035 Subpolynomial nonlinear dimension reduction in Lp
- Math-10036 Liftability without spectrahedrality for a hyperbolicity cone
- Math-10037 Uniform L1 distortion of planar graph metrics
- Math-10038 Projected Lax conjecture
- Math-10039 Finite cylinder approximation of ruled sets
- Math-10040 Single-lattice covering density of order n log n
- Math-10041 Gromov width of symmetric polar products
- Math-10042 Worst-case symmetric translative covering density
- Math-10043 Triangular minimum of planar Coulomb renormalized energy
- Math-10044 Affine Bernstein assertion for entire graphs in dimension ten
- Math-10045 Affine Bernstein assertion in dimensions three through nine
- Math-10046 Analytic path selection at several exponential ends
- Math-10047 Morse lower bound for nondegenerate Hamiltonian fixed points
- Math-10048 Stable Morse lower bound for Hamiltonian fixed points
- Math-10049 Bounded scalar curvature extends closed four-dimensional Ricci flow
- Math-10050 Smooth isometric immersion of closed surfaces into four-space