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
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
5,373 records · Search and filter
- Math-1751 Restricted Roth progressions and their local obstructions
- Math-1752 A root-system reduction for the spherical triangle form
- Math-1753 Popular square differences: a radix obstruction and a sharp characteristic-two no-wrap model
- Math-1754 Arithmetic removal in cyclic groups: corrected quantifiers, matching distances, and exact CRT-compatible lifts
- Math-1755 Popular-direction planarization for no-five-coplanar sumsets
- Math-1756 A variational energy core for stronger BSG
- Math-1757 Good Freiman models from polynomial coset covers
- Math-1758 Riemann-profile transference for discrete entropy monotonicity
- Math-1759 Exact structure inside a two-fold sumset
- Math-1760 Higher additive energy and quantitative stability of the Holder defect
- Math-1761 Reverse Banaszczyk minimization and the ellipsoidal regime
- Math-1762 A linear worst-case lower bound for Ramsey numbers of rectilinear knots
- Math-1763 Polynomial bounds for rectilinear knot Ramsey numbers
- Math-1764 Fixed-polynomial semi-algebraic Ramsey bounds and unbounded-degree universality
- Math-1765 Quantifier-resolved off-diagonal semi-algebraic graph Ramsey numbers
- Math-1766 A small Fano-good tight path and the connectedness convention
- Math-1767 A q-Eulerian last-site law for cycle IDLA
- Math-1768 Naturality as an affine automorphism action
- Math-1769 Periodic Laplacian certificates for robustness and explosion
- Math-1770 A boundary-flux reduction for the mean square-grid sandpile identity
- Math-1771 The full toppling Gröbner fan in the tree case
- Math-1772 Uniform versus torsion-squared higher spanning trees
- Math-1773 Recognizing undirected reduced Laplacian lattices
- Math-1774 An alternating flat family for the complete 3-graph lower bound
- Math-1775 Low temporal repetition forces excess trace
- Math-1776 Temporal trace semantics and a bounded-repetition special case
- Math-1777 Charbit's spectral short-cycle conjecture: the sharp digon case and a Perron-period obstruction
- Math-1778 LP obstructions and cyclic blow-ups for DeVos's distribution conjecture
- Math-1779 An order-statistic form of Shen's deficit conjecture
- Math-1780 Dense nonsumsets and cyclic-interval square roots
- Math-1781 Order lifting for sparse additive bases of polynomial values
- Math-1782 Exponential upper and lower bounds for the additive basis order of multiplicative subgroups
- Math-1783 Cancellation thresholds and a prime-repunit obstruction for multiplicative subgroups
- Math-1784 Direction-complete finite-field sets and quadratic secant lifting
- Math-1785 Finite-field point-line incidences and a projective no-wrap criterion
- Math-1786 A chain-deficit theorem and exact multidimensional constructions for restricted sums
- Math-1787 Exact subgroup self-sumsets and a robust quotient-character leakage bound
- Math-1788 The differentiable diameter sphere problem: a three-gate obstruction
- Math-1789 Almost half-maximal diameter and threshold realizability
- Math-1790 Chern-lattice obstructions to positively curved principal two-torus bundles
- Math-1791 Surface quotient, bundle normal forms, and a WNN escape condition
- Math-1792 Finite-window largeness of the O'Neill tensor
- Math-1793 The maximal symmetry-rank conjecture and a sharp product defect formula
- Math-1794 Rank-six bundles over S^3 x S^3: classification, stabilization, and soul rigidity
- Math-1795 Explicit stable homogeneous representatives over S^2 x S^2
- Math-1796 A quadratic-relation sieve for formality in dimension seven
- Math-1797 Almost-cyclic fundamental groups: normality, linear models, and dimension three
- Math-1798 Pinching-gap reduction and dimension-six finiteness
- Math-1799 Uniform pinching via the best-pinching functional
- Math-1800 Questions in Geometric Group Theory — Q 1.6