Top Open Problems
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-2201 The Kakeya Conjecture
- Math-2202 The Abundance Conjecture
- Math-2203 Hilbert's 16th Problem: Topology of Algebraic Curves and Limit Cycles
- Math-2204 Sofic Groups
- Math-2205 The Tate Conjecture
- Math-2206 Serre's Positivity Conjecture
- Math-2207 Arthur's Conjectures
- Math-2208 The Cartan-Hadamard Conjecture
- Math-2209 The Heilbronn Triangle Problem
- Math-2210 Hilbert's Tenth Problem for Number Fields
- Math-2211 Borsuk's Conjecture
- Math-2212 Grand Riemann Hypothesis
- Math-2213 Crouzeix's Conjecture
- Math-2214 Borel Conjecture
- Math-2215 Birkhoff Conjecture
- Math-2216 Abundance Conjecture
- Math-2217 Kirby Problem 1.12
- Math-2218 Kirby Problem 3.24
- Math-2219 Kirby Problem 4.46
- Math-2220 Kirby Problem 5.3
- Math-2221 Decomposing an eulerian graph into cycles.
- Math-2222 List Hadwiger Conjecture
- Math-2223 Questions in Geometric Group Theory — Q 1.1
- Math-2224 Zariski–Lipman conjecture
- Math-2225 Research Problems in Function Theory — Problem 4.13
- Math-2226 Research Problems in Function Theory — Problem 4.14
- Math-2227 Research Problems in Function Theory — Problem 4.31
- Math-2228 Research Problems in Function Theory — Problem 6.94
- Math-2229 Research Problems in Function Theory — Problem 6.96
- Math-2230 Research Problems in Function Theory — Problem 6.109
- Math-2231 Flint Hills series
- Math-2232 Vlasov–Maxwell regularity
- Math-2233 10 Lectures and 42 Open Problems — Mutually Unbiased Bases
- Math-2234 10 Lectures and 42 Open Problems — Detection Threshold for SBM for three of more communities
- Math-2235 How many colors is it necessary to use so that, if you paint every single point of the two-dimensional plane some color
- Math-2236 A set of points S is Euclidean Ramsey if, for every k, there exists an N so that every k-coloring of Euclidean N-space c
- Math-2237 Suppose I have a sequence of positive integers whose reciprocals sum to infinity
- Math-2238 Exact van der Waerden numbers
- Math-2239 Chromatic number of the plane
- Math-2240 Arnold and Arnold–Givental conjectures
- Math-2241 Banach's simple Lebesgue spectrum problem
- Math-2242 Rokhlin multiple-mixing problem
- Math-2243 Distances among Point Sets in $\mathbb{R}^2$ and $\mathbb{R}^3$
- Math-2244 Scalar Curvature Question [?12]: Q-Non-Essentiality of Manifolds with Sc > 0
- Math-2245 Scalar Curvature Question [?13]: [∗] no closed aspherical15 manifold admits a metric withSc > 0
- Math-2246 Scalar Curvature Question [?34]: Bounds on Width and on the Macroscopic Dimension
- Math-2247 Scalar Curvature Question [?35]: Bound on the Filling Radius forSc ≥σ > 0
- Math-2248 Scalar Curvature Question [?91]: Prove that there is a dimension-dependent constant $c_n$ such that every compact Riemannian $n$-manifold $X$ w
- Math-2249 Wikipedia geometry item 7: Fujita conjecture regarding the line bundle $K_{M} \otimes L^{\otimes m}$ constructed from a po…
- Math-2250 Wikipedia geometry item 13: Nagata's conjecture on curves, specifically the minimal degree required for a plane algebraic c…