Mathematics
Open problems, research attempts and community review.
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-4001 Compatible Triangulations
- Math-4002 Transforming Polygons via Vertex-Centroid Moves
- Math-4003 Volume Maximizing Convex Shape
- Math-4004 Rolling a Die over a Labeled Board
- Math-4005 Yao-Yao Graph a Spanner?
- Math-4006 Polyhedron with Regular Pentagon Faces
- Math-4007 Congruent Partitions of Polygons
- Math-4008 Slicing Axes-Parallel Rectangles
- Math-4009 Equiprojective Polyhedra
- Math-4010 Rectangling a Rectangle
- Math-4011 Boundaries of Groups and Kleinian Groups — Problem 67
- Math-4012 Boundaries of Groups and Kleinian Groups — Problem 102
- Math-4013 Singularities of Time-Optimal Trajectories
- Math-4014 Cutting Corners in Sub-Riemannian Spaces
- Math-4015 Morse-Sard Questions for Endpoint Maps
- Math-4016 Unfolding the Sub-Riemannian Distance
- Math-4017 Symmetries of Vector Distributions
- Math-4018 Closed Curves with a Nondegenerate Frenet Frame
- Math-4019 Localized Degenerate Control of Navier-Stokes
- Math-4020 Homological Pisot Conjecture
- Math-4021 Coincidence Rank Conjecture
- Math-4022 U. Grimm: Diffraction of a Pinwheel Tiling — Problem
- Math-4023 U. Grimm: Diffraction of a Pinwheel Tiling — Problem
- Math-4024 A. Haynes: Gaps Problems — Problem
- Math-4025 A. Haynes: Gaps Problems — Problem
- Math-4026 A. Haynes: Gaps Problems — Problem
- Math-4027 A. Julien: Relationship between Complexity and Cohomology — Problem
- Math-4028 A. Navas: A Conjecture on Delone Sets BL to Lattices (after P. Alestalo, D.A. Trotsenko and J. V\"ais\"al\"a). — Problem
- Math-4029 L. Sadun — Problem
- Math-4030 L. Sadun — Problem
- Math-4031 L. Sadun — Problem
- Math-4032 L. Sadun — Problem
- Math-4033 J. Marklof
- Math-4034 B. Weiss — Problem
- Math-4035 Scalar Curvature Question [?7]: But deeper structures (if they exist at all) that lie at the roots of Dirac operators and of minimal hypersurf
- Math-4036 Scalar Curvature Question [?9]: Identify the most general classes of geometric objects having properties analogous to those of $C^2$ Riemannia
- Math-4037 Scalar Curvature Question [?46]: But it is unclear if this remain true with "area" in place of "length"
- Math-4038 Scalar Curvature Question [?64]: Are all extremal convex polyhedraP are mean convexly extremal
- Math-4039 Scalar Curvature Question [?66]: Probably, these equalities imply thatP is isometric to a Euclidean rectangular solidbut the approximation/smoo
- Math-4040 Scalar Curvature Question [?68]: Let $\widetilde X$ be the universal cover of a Riemannian $n$-manifold $X$ homeomorphic to the $n$-torus
- Math-4041 Can you hear an orbifold singularity?
- Math-4042 Biorthogonal curvature
- Math-4043 Configuration Spaces of Tensegrities — Problem 1
- Math-4044 Configuration Spaces of Tensegrities — Problem 9
- Math-4045 Geometry of Curves and Surfaces — Problem 3.1
- Math-4046 Geometry of Curves and Surfaces — Problem 3.3
- Math-4047 Geometry of Curves and Surfaces — Problem 5.1
- Math-4048 Geometry of Curves and Surfaces — Problem 8.2
- Math-4049 Bass conjecture
- Math-4050 Fröberg conjecture on the Hilbert functions of a set of forms