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-2651 Affine Bernstein assertion in dimensions three through nine
- Math-2652 Analytic path selection at several exponential ends
- Math-2653 Morse lower bound for nondegenerate Hamiltonian fixed points
- Math-2654 Stable Morse lower bound for Hamiltonian fixed points
- Math-2655 Bounded scalar curvature extends closed four-dimensional Ricci flow
- Math-2656 Smooth isometric immersion of closed surfaces into four-space
- Math-2657 Uniform bi-Hölder transport under weak MTW
- Math-2658 Conditional L² Einstein gap for nonnegative curvature
- Math-2659 Isoperimetric profile of the cubic flat three-torus
- Math-2660 Unique multiplicity-one tangents at first surface-flow singularities
- Math-2661 Gigli distributional sectional-curvature characterization
- Math-2662 Exact ball-packing criterion in symplectic dimensions at least six
- Math-2663 Deforming hypersymplectic triples to hyperkähler triples
- Math-2664 Euclidean comparison for integer-growth harmonic dimensions
- Math-2665 Harmonic dimension comparison in dimension three
- Math-2666 Uniformization with positive bisectional curvature
- Math-2667 Metric classification of Blaschke manifolds
- Math-2668 Bounded coordinates for negatively pinched Kähler manifolds
- Math-2669 Bi-Lipschitz coordinates at regular RCD points
- Math-2670 Nonnegative Einstein curvature classification in dimension four
- Math-2671 Bounded holomorphic functions under one-sided negative curvature
- Math-2672 Positive Einstein metric classification in dimension four
- Math-2673 Euclidean sharp filling bounds in proper CAT(0) spaces
- Math-2674 Weak Hessian bounds along every RCD geodesic
- Math-2675 Infinitely many prime geodesic images on spheres
- Math-2676 Integral scalar-curvature control of simplicial volume
- Math-2677 Least volume of nongeodesic minimal hypersurfaces in spheres
- Math-2678 Spectral scalar-curvature control of codimension-two width
- Math-2679 Spectral scalar-curvature control of width in dimension three
- Math-2680 Codimension-one singular bound for stationary integral varifolds
- Math-2681 Positive scalar curvature and codimension-two width
- Math-2682 Sharp nodal upper bound on smooth surfaces
- Math-2683 Weak mixing of every triangular billiard with an irrational angle
- Math-2684 Pointwise convergence of all consecutive-power multiple averages under mixing
- Math-2685 Pointwise triple ergodic averages with distinct integer slopes under mixing
- Math-2686 Pointwise convergence of fourfold ergodic averages under mixing
- Math-2687 Pointwise convergence of consecutive triple ergodic averages under mixing
- Math-2688 Dimension of a real self-similar attractor without exact overlaps
- Math-2689 Singularity of Bernoulli convolutions at quartic Salem reciprocals
- Math-2690 Exact maximal limit-cycle count for quintic classical Lienard systems
- Math-2691 Entropy-rate dimension formula for all real self-similar measures
- Math-2692 Ellipse rigidity from a continuous physical collar of smooth caustics
- Math-2693 Uniform finiteness of planar polynomial limit cycles
- Math-2694 Zero-entropy probability system with no smooth positive-volume model
- Math-2695 Asymptotic midpoint renormability versus AUC
- Math-2696 Linear rigidity of bi-Lipschitz equivalent separable Banach spaces
- Math-2697 Linear c0 detection from bi-Lipschitz absorption
- Math-2698 The cotype-cotype conjecture with the approximation property
- Math-2699 Metric Markov cotype two of ell1
- Math-2700 Superreflexivity from nontrivial Markov type