Geometry
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-1672 Edge-Unfolding Polycubes
- Math-1673 Reflexivity of Point Sets
- Math-1674 Zipper Unfoldings of Convex Polyhedra
- Math-1675 Geometry of Curves and Surfaces — Problem 1.1
- Math-1676 Geometry of Curves and Surfaces — Problem 1.3
- Math-1677 Geometry of Curves and Surfaces — Problem 1.5
- Math-1678 Geometry of Curves and Surfaces — Problem 1.8
- Math-1679 Geometry of Curves and Surfaces — Problem 1.9
- Math-1680 Geometry of Curves and Surfaces — Problem 2.1
- Math-1681 Geometry of Curves and Surfaces — Problem 2.3
- Math-1682 Geometry of Curves and Surfaces — Problem 4.1
- Math-1683 Geometry of Curves and Surfaces — Problem 4.2
- Math-1684 Geometry of Curves and Surfaces — Problem 5.2
- Math-1685 Geometry of Curves and Surfaces — Problem 5.3
- Math-1686 Geometry of Curves and Surfaces — Problem 6.3
- Math-1912 Classification of spherical quadrilaterals
- Math-2162 Simple Polygonalizations
- Math-2163 Planar Euclidean Maximum TSP
- Math-2166 Boundaries of Groups and Kleinian Groups — Problem 3
- Math-2167 Boundaries of Groups and Kleinian Groups — Problem 6
- Math-2168 Boundaries of Groups and Kleinian Groups — Problem 8
- Math-2169 Boundaries of Groups and Kleinian Groups — Problem 9
- Math-2170 Boundaries of Groups and Kleinian Groups — Problem 11
- Math-2171 Boundaries of Groups and Kleinian Groups — Problem 12
- Math-2172 Boundaries of Groups and Kleinian Groups — Problem 17
- Math-2173 Boundaries of Groups and Kleinian Groups — Problem 20
- Math-2174 Boundaries of Groups and Kleinian Groups — Problem 21
- Math-2175 Boundaries of Groups and Kleinian Groups — Problem 25
- Math-2176 Boundaries of Groups and Kleinian Groups — Problem 26
- Math-2177 Boundaries of Groups and Kleinian Groups — Problem 28
- Math-2178 Boundaries of Groups and Kleinian Groups — Problem 29
- Math-2179 Boundaries of Groups and Kleinian Groups — Problem 35
- Math-2180 Boundaries of Groups and Kleinian Groups — Problem 36
- Math-2181 Boundaries of Groups and Kleinian Groups — Problem 38
- Math-2182 Boundaries of Groups and Kleinian Groups — Problem 39
- Math-2183 Boundaries of Groups and Kleinian Groups — Problem 42
- Math-2184 Boundaries of Groups and Kleinian Groups — Problem 44
- Math-2185 Boundaries of Groups and Kleinian Groups — Problem 52
- Math-2186 Boundaries of Groups and Kleinian Groups — Problem 62
- Math-2188 The Kakeya Conjecture
- Math-2190 Hilbert's 16th Problem: Topology of Algebraic Curves and Limit Cycles
- Math-2195 The Cartan-Hadamard Conjecture
- Math-2196 The Heilbronn Triangle Problem
- Math-2198 Borsuk's Conjecture
- Math-2226 Chromatic number of the plane
- Math-2231 Scalar Curvature Question [?12]: Q-Non-Essentiality of Manifolds with Sc > 0
- Math-2232 Scalar Curvature Question [?13]: [∗] no closed aspherical15 manifold admits a metric withSc > 0
- Math-2233 Scalar Curvature Question [?34]: Bounds on Width and on the Macroscopic Dimension
- Math-2234 Scalar Curvature Question [?35]: Bound on the Filling Radius forSc ≥σ > 0
- Math-2235 Scalar Curvature Question [?91]: Prove that there is a dimension-dependent constant $c_n$ such that every compact Riemannian $n$-manifold $X$ w