Top Open Problems
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 Dimension of a real self-similar attractor without exact overlaps
- Math-2702 Singularity of Bernoulli convolutions at quartic Salem reciprocals
- Math-2703 Exact maximal limit-cycle count for quintic classical Lienard systems
- Math-2704 Entropy-rate dimension formula for all real self-similar measures
- Math-2705 Ellipse rigidity from a continuous physical collar of smooth caustics
- Math-2706 Uniform finiteness of planar polynomial limit cycles
- Math-2707 Zero-entropy probability system with no smooth positive-volume model
- Math-2708 Asymptotic midpoint renormability versus AUC
- Math-2709 Linear rigidity of bi-Lipschitz equivalent separable Banach spaces
- Math-2710 Linear c0 detection from bi-Lipschitz absorption
- Math-2711 The cotype-cotype conjecture with the approximation property
- Math-2712 Metric Markov cotype two of ell1
- Math-2713 Superreflexivity from nontrivial Markov type
- Math-2714 Uniform duality for convex-body covering entropy
- Math-2715 Reflexive asymptotic midpoint renormability versus AUC
- Math-2716 Nonexpansive fixed points in reflexive Banach spaces
- Math-2717 The separable quotient assertion under CH
- Math-2718 The separable quotient assertion for a real-valued-measurable continuum
- Math-2719 Tingley extension for real Banach spaces
- Math-2720 Bounded approximation in uniformly discrete Lipschitz-free spaces
- Math-2721 All-pairs diamond distortion in tree-segment Banach spaces
- Math-2722 Hyperbolicity of one-relator groups without Baumslag–Solitar subgroups
- Math-2723 Decidable word problem and embedding in finitely presented simple groups
- Math-2724 Simple overgroups of type F infinity for decidable word problems
- Math-2725 Virtual compact specialness of hyperbolic ascending free-group mapping tori
- Math-2726 Geometric CAT(0) actions for word-hyperbolic groups
- Math-2727 Virtual compact specialness of hyperbolic one-relator groups
- Math-2728 An infinite residually finite group with finite presentation and 2-power torsion
- Math-2729 A nontrivial group free-product Z cannot be normally generated by one element
- Math-2730 Coefficient-preserving solutions of nonsingular group-equation systems
- Math-2731 Recognizing virtually polycyclic groups from quasi-isometry
- Math-2732 Strong Ulam stability characterizes amenability
- Math-2733 Coefficient injectivity for unimodular one-variable equations
- Math-2734 Downward categoricity transfer to the Hanf threshold under CH
- Math-2735 Capturing polynomial time with choiceless computation and counting
- Math-2736 Unique natural-number witnesses for every enumerable set
- Math-2737 Global weak normalization implies strong normalization in pure type systems
- Math-2738 Strict expressive gain from witnessed symmetric choice
- Math-2739 The numerical spacetime enclosing-area inequality in every dimension
- Math-2740 Single-letter classical capacity of generalized amplitude damping
- Math-2741 Unbounded positive point spectrum of relative SU(2) BFSS
- Math-2742 Exactly one threshold bound state in every relative SU(N) BFSS model
- Math-2743 QMA hardness of continuum electronic energy with binary nuclear charges
- Math-2744 The first lattice correction to quantum Bloch magnetization
- Math-2745 Polynomial quantum synthesis of any unitary using a suitable Boolean oracle
- Math-2746 A gap in the open spin-one chain with fixed same-sign boundary fields
- Math-2747 A conditional charged Penrose bound in spatial dimension at least four
- Math-2748 A charged enclosing-area bound for weakly asymptotically Euclidean exteriors
- Math-2749 A Bondi enclosing-area inequality for CKS hyperboloidal ends
- Math-2750 Local noninteracting ensemble representation of Coulomb ground densities