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-3051 Smale's 12th Problem: Centralizers of Diffeomorphisms
- Math-3052 Hilbert's 7th Problem: Transcendence of Certain Numbers
- Math-3053 Hilbert's 14th Problem: Finite Generation of Rings
- Math-3054 Hilbert's 17th Problem: Expression of Definite Forms
- Math-3055 Large Sum-Free Sets
- Math-3056 Restricted Sumset Problem
- Math-3057 Roth's Theorem with Random Common Differences
- Math-3058 Lipschitz AP-Free Graphs
- Math-3059 Multidimensional Szemerédi Theorem Bounds
- Math-3060 Large Sieve and Quadratic Sets
- Math-3061 Covering Squares with Sumsets
- Math-3062 Cubic Curves in F_p^2
- Math-3063 Collinear Triples and Cubic Curves
- Math-3064 Erdős-Szekeres with Visibility
- Math-3065 Collinear 4-tuples Force Collinear 5-tuples
- Math-3066 Smooth Surfaces Intersecting 2-planes
- Math-3067 No 5 Points on 2-plane in [N]^d
- Math-3068 Balanced Ham Sandwich Line
- Math-3069 Comparable Elements in Integer Lattices
- Math-3070 Stable Density on Subspaces
- Math-3071 Irreducibility of Random {0,1} Polynomials
- Math-3072 N Queens Problem Asymptotics
- Math-3073 Restricted Sumsets in Partitions
- Math-3074 Sum of Cubes in F_3^n
- Math-3075 Sidon Set Size Bounds
- Math-3076 Disjoint Sumsets Construction
- Math-3077 Bounds for Approximate Group Classification
- Math-3078 Bounds for Homogeneous Polynomial Zeros
- Math-3079 Hadamard Conjecture
- Math-3080 Connes Embedding Problem
- Math-3081 Zauner's Conjecture
- Math-3082 Casas-Alvero Conjecture
- Math-3083 Bounded Burnside Problem
- Math-3084 McKay Conjecture
- Math-3085 Are All Groups Surjunctive?
- Math-3086 Mahler's Conjecture
- Math-3087 Kakeya Needle Problem
- Math-3088 The Painlevé Conjecture
- Math-3089 The Babai Conjecture on Graph Isomorphism
- Math-3090 Pillai's Conjecture
- Math-3091 Falconer's Conjecture
- Math-3092 The Pierce-Birkhoff Conjecture
- Math-3093 Existence of Generalized Moonshine
- Math-3094 The Surjunctivity Conjecture
- Math-3095 The Hopf Conjectures
- Math-3096 The Hadwiger Covering Conjecture
- Math-3097 The Happy Ending Problem
- Math-3098 Ehrhart's Volume Conjecture
- Math-3099 Sphere Packing in High Dimensions
- Math-3100 The Sunflower Conjecture