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-2651 Gaussian propeller partition bound
- Math-2652 Logarithmic Sobolev inequality from subgaussian marginals
- Math-2653 Sharp entropy lower bound for log-concave densities
- Math-2654 Subpolynomial nonlinear dimension reduction in Lp
- Math-2655 Liftability without spectrahedrality for a hyperbolicity cone
- Math-2656 Uniform L1 distortion of planar graph metrics
- Math-2657 Projected Lax conjecture
- Math-2658 Finite cylinder approximation of ruled sets
- Math-2659 Single-lattice covering density of order n log n
- Math-2660 Gromov width of symmetric polar products
- Math-2661 Worst-case symmetric translative covering density
- Math-2662 Triangular minimum of planar Coulomb renormalized energy
- Math-2663 Affine Bernstein assertion for entire graphs in dimension ten
- Math-2664 Affine Bernstein assertion in dimensions three through nine
- Math-2665 Analytic path selection at several exponential ends
- Math-2666 Morse lower bound for nondegenerate Hamiltonian fixed points
- Math-2667 Stable Morse lower bound for Hamiltonian fixed points
- Math-2668 Bounded scalar curvature extends closed four-dimensional Ricci flow
- Math-2669 Smooth isometric immersion of closed surfaces into four-space
- Math-2670 Uniform bi-Hölder transport under weak MTW
- Math-2671 Conditional L² Einstein gap for nonnegative curvature
- Math-2672 Isoperimetric profile of the cubic flat three-torus
- Math-2673 Unique multiplicity-one tangents at first surface-flow singularities
- Math-2674 Gigli distributional sectional-curvature characterization
- Math-2675 Exact ball-packing criterion in symplectic dimensions at least six
- Math-2676 Deforming hypersymplectic triples to hyperkähler triples
- Math-2677 Euclidean comparison for integer-growth harmonic dimensions
- Math-2678 Harmonic dimension comparison in dimension three
- Math-2679 Uniformization with positive bisectional curvature
- Math-2680 Metric classification of Blaschke manifolds
- Math-2681 Bounded coordinates for negatively pinched Kähler manifolds
- Math-2682 Bi-Lipschitz coordinates at regular RCD points
- Math-2683 Nonnegative Einstein curvature classification in dimension four
- Math-2684 Bounded holomorphic functions under one-sided negative curvature
- Math-2685 Positive Einstein metric classification in dimension four
- Math-2686 Euclidean sharp filling bounds in proper CAT(0) spaces
- Math-2687 Weak Hessian bounds along every RCD geodesic
- Math-2688 Infinitely many prime geodesic images on spheres
- Math-2689 Integral scalar-curvature control of simplicial volume
- Math-2690 Least volume of nongeodesic minimal hypersurfaces in spheres
- Math-2691 Spectral scalar-curvature control of codimension-two width
- Math-2692 Spectral scalar-curvature control of width in dimension three
- Math-2693 Codimension-one singular bound for stationary integral varifolds
- Math-2694 Positive scalar curvature and codimension-two width
- Math-2695 Sharp nodal upper bound on smooth surfaces
- Math-2696 Weak mixing of every triangular billiard with an irrational angle
- Math-2697 Pointwise convergence of all consecutive-power multiple averages under mixing
- Math-2698 Pointwise triple ergodic averages with distinct integer slopes under mixing
- Math-2699 Pointwise convergence of fourfold ergodic averages under mixing
- Math-2700 Pointwise convergence of consecutive triple ergodic averages under mixing