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-10101 Bounded approximation in uniformly discrete Lipschitz-free spaces
- Math-10102 All-pairs diamond distortion in tree-segment Banach spaces
- Math-10103 Hyperbolicity of one-relator groups without Baumslag–Solitar subgroups
- Math-10104 Decidable word problem and embedding in finitely presented simple groups
- Math-10105 Simple overgroups of type F infinity for decidable word problems
- Math-10106 Virtual compact specialness of hyperbolic ascending free-group mapping tori
- Math-10107 Geometric CAT(0) actions for word-hyperbolic groups
- Math-10108 Virtual compact specialness of hyperbolic one-relator groups
- Math-10109 An infinite residually finite group with finite presentation and 2-power torsion
- Math-10110 A nontrivial group free-product Z cannot be normally generated by one element
- Math-10111 Coefficient-preserving solutions of nonsingular group-equation systems
- Math-10112 Recognizing virtually polycyclic groups from quasi-isometry
- Math-10113 Strong Ulam stability characterizes amenability
- Math-10114 Coefficient injectivity for unimodular one-variable equations
- Math-10115 Downward categoricity transfer to the Hanf threshold under CH
- Math-10116 Capturing polynomial time with choiceless computation and counting
- Math-10117 Unique natural-number witnesses for every enumerable set
- Math-10118 Global weak normalization implies strong normalization in pure type systems
- Math-10119 Strict expressive gain from witnessed symmetric choice
- Math-10120 The numerical spacetime enclosing-area inequality in every dimension
- Math-10121 Single-letter classical capacity of generalized amplitude damping
- Math-10122 Unbounded positive point spectrum of relative SU(2) BFSS
- Math-10123 Exactly one threshold bound state in every relative SU(N) BFSS model
- Math-10124 QMA hardness of continuum electronic energy with binary nuclear charges
- Math-10125 The first lattice correction to quantum Bloch magnetization
- Math-10126 Polynomial quantum synthesis of any unitary using a suitable Boolean oracle
- Math-10127 A gap in the open spin-one chain with fixed same-sign boundary fields
- Math-10128 A conditional charged Penrose bound in spatial dimension at least four
- Math-10129 A charged enclosing-area bound for weakly asymptotically Euclidean exteriors
- Math-10130 A Bondi enclosing-area inequality for CKS hyperboloidal ends
- Math-10131 Local noninteracting ensemble representation of Coulomb ground densities
- Math-10132 An exponential threshold-repetition bound for arbitrary finite entangled games
- Math-10133 The entropy photon-number inequality for arbitrary finite-mode inputs
- Math-10134 Exact quantum factoring over one fixed finite gate set
- Math-10135 The exact Bloch coefficient for three-dimensional finite-range quantum ferromagnets
- Math-10136 The universal quantum-depletion constant for fixed bounded repulsions
- Math-10137 Polynomial-bond PEPS approximation of every gapped square-grid ground vector
- Math-10138 Thomas–Fermi asymptotics for growing atomic ionization number
- Math-10139 The Bogoliubov momentum law for the dilute hard-sphere ground state
- Math-10140 Condensation in every dilute hard-sphere ground state
- Math-10141 A spherical distribution of the low-temperature total quantum spin
- Math-10142 The area, charge and angular-momentum bound with controlled electromagnetic tails
- Math-10143 The Kerr–Newman area bound without electromagnetic-tail controls
- Math-10144 A Laughlin gap stable under every small bounded scalar perturbation
- Math-10145 A size-independent spectral gap above the spherical Laughlin line
- Math-10146 Every extremizer of the sharp matrix Lieb–Thirring bound
- Math-10147 The sharp one-dimensional finite-matrix Lieb–Thirring inequality
- Math-10148 A uniform bound on excess electrons in full Coulomb molecules
- Math-10149 Generic C1 future inextendibility near rotating subextremal Kerr
- Math-10150 Generic C2 future inextendibility near rotating subextremal Kerr