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-2701 Uniform duality for convex-body covering entropy
- Math-2702 Reflexive asymptotic midpoint renormability versus AUC
- Math-2703 Nonexpansive fixed points in reflexive Banach spaces
- Math-2704 The separable quotient assertion under CH
- Math-2705 The separable quotient assertion for a real-valued-measurable continuum
- Math-2706 Tingley extension for real Banach spaces
- Math-2707 Bounded approximation in uniformly discrete Lipschitz-free spaces
- Math-2708 All-pairs diamond distortion in tree-segment Banach spaces
- Math-2709 Hyperbolicity of one-relator groups without Baumslag–Solitar subgroups
- Math-2710 Decidable word problem and embedding in finitely presented simple groups
- Math-2711 Simple overgroups of type F infinity for decidable word problems
- Math-2712 Virtual compact specialness of hyperbolic ascending free-group mapping tori
- Math-2713 Geometric CAT(0) actions for word-hyperbolic groups
- Math-2714 Virtual compact specialness of hyperbolic one-relator groups
- Math-2715 An infinite residually finite group with finite presentation and 2-power torsion
- Math-2716 A nontrivial group free-product Z cannot be normally generated by one element
- Math-2717 Coefficient-preserving solutions of nonsingular group-equation systems
- Math-2718 Recognizing virtually polycyclic groups from quasi-isometry
- Math-2719 Strong Ulam stability characterizes amenability
- Math-2720 Coefficient injectivity for unimodular one-variable equations
- Math-2721 Downward categoricity transfer to the Hanf threshold under CH
- Math-2722 Capturing polynomial time with choiceless computation and counting
- Math-2723 Unique natural-number witnesses for every enumerable set
- Math-2724 Global weak normalization implies strong normalization in pure type systems
- Math-2725 Strict expressive gain from witnessed symmetric choice
- Math-2726 The numerical spacetime enclosing-area inequality in every dimension
- Math-2727 Single-letter classical capacity of generalized amplitude damping
- Math-2728 Unbounded positive point spectrum of relative SU(2) BFSS
- Math-2729 Exactly one threshold bound state in every relative SU(N) BFSS model
- Math-2730 QMA hardness of continuum electronic energy with binary nuclear charges
- Math-2731 The first lattice correction to quantum Bloch magnetization
- Math-2732 Polynomial quantum synthesis of any unitary using a suitable Boolean oracle
- Math-2733 A gap in the open spin-one chain with fixed same-sign boundary fields
- Math-2734 A conditional charged Penrose bound in spatial dimension at least four
- Math-2735 A charged enclosing-area bound for weakly asymptotically Euclidean exteriors
- Math-2736 A Bondi enclosing-area inequality for CKS hyperboloidal ends
- Math-2737 Local noninteracting ensemble representation of Coulomb ground densities
- Math-2738 An exponential threshold-repetition bound for arbitrary finite entangled games
- Math-2739 The entropy photon-number inequality for arbitrary finite-mode inputs
- Math-2740 Exact quantum factoring over one fixed finite gate set
- Math-2741 The exact Bloch coefficient for three-dimensional finite-range quantum ferromagnets
- Math-2742 The universal quantum-depletion constant for fixed bounded repulsions
- Math-2743 Polynomial-bond PEPS approximation of every gapped square-grid ground vector
- Math-2744 Thomas–Fermi asymptotics for growing atomic ionization number
- Math-2745 The Bogoliubov momentum law for the dilute hard-sphere ground state
- Math-2746 Condensation in every dilute hard-sphere ground state
- Math-2747 A spherical distribution of the low-temperature total quantum spin
- Math-2748 The area, charge and angular-momentum bound with controlled electromagnetic tails
- Math-2749 The Kerr–Newman area bound without electromagnetic-tail controls
- Math-2750 A Laughlin gap stable under every small bounded scalar perturbation