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-4051 Wikipedia geometry item 17: Section conjecture on splittings of group homomorphisms from fundamental groups of complete smo…
- Math-4052 The covering problem of Rado
- Math-4053 The Erdős–Oler conjecture
- Math-4054 Reinhardt's conjecture
- Math-4055 Square packing in a square
- Math-4056 The Kobon triangle problem on triangles in line arrangements
- Math-4057 The Kusner conjecture
- Math-4058 Opaque forest problem on finding opaque sets for various planar shapes
- Math-4059 Tripod packing
- Math-4060 The Atiyah conjecture on configurations on the invertibility of a certain $n$-by-$n$ matrix depending on $n$ points in $\mathbb{R}^{3}$
- Math-4061 The values of the Hermite constants for dimensions other than 1–8 and 24
- Math-4062 Lebesgue's universal covering problem on the minimum-area convex shape in the plane that can cover any shape of diameter one
- Math-4063 Moser's worm problem
- Math-4064 Is the upper bound of a closed knot's minimum ropelength linear to its crossing number
- Math-4065 Babai's problem
- Math-4066 Increasing Polarized Ramsey Theorem
- Math-4067 Reverse-Mathematical Strength of Hindman's Theorem
- Math-4068 Strength of the Dual Ramsey Theorem
- Math-4069 Strength of the Carlson–Simpson Lemma
- Math-4070 Cancellation and Schröder–Bernstein for Torsion Abelian Groups
- Math-4071 Metrization of Proper MF Spaces
- Math-4072 Lebesgue Differentiation and Weak Weak König's Lemma
- Math-4073 Strength of the Auslander–Ellis Theorem
- Math-4074 Well-Ordered Linearizations
- Math-4075 Reverse Mathematics of Fraïssé's Conjecture
- Math-4076 Lengths of Bounded-Rank Linear-Order WQOs
- Math-4077 Strengths of Laver and Nash–Williams BQO Theorems
- Math-4078 Three-Element Better-Quasi-Order
- Math-4079 Weak Infinitary Comprehension versus Weak Choice
- Math-4080 Open Mapping Theorem for Separable Banach Spaces
- Math-4081 Strength of the Krein–Šmulian Theorem
- Math-4082 Strength of Szemerédi's Theorem
- Math-4083 Strength of Kříž's Labeled-Tree Theorem
- Math-4084 Ramsey's Theorem for Triples over a Weak Base
- Math-4085 Does every simple first-order theory have stable forking
- Math-4086 The universality problem for C-free graphs
- Math-4087 Separatrix Splitting under Quasiperiodic Forcing
- Math-4088 Optimal Flux for the Quarter-Filled Band
- Math-4089 Multivariate analysis
- Math-4090 $\beta$-ensembles
- Math-4091 The Toda lattice with random initial data
- Math-4092 O9 — Counting distinct prime factors
- Math-4093 O18b — Recognizing primitive roots randomly
- Math-4094 O22a — Discrete logarithms modulo a composite
- Math-4095 O24 — Finding a point on an elliptic curve
- Math-4096 O35 — Greatest common divisors in NC
- Math-4097 Absolute bounds for rational Diophantine tuples
- Math-4098 Exceptional parameters without D(n)-quadruples
- Math-4099 Finiteness of parameters admitting at most two D(n)-quadruples
- Math-4100 Finiteness of D(n)-quadruples for nonsquare n