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-1751 Fixed-polynomial semi-algebraic Ramsey bounds and unbounded-degree universality
- Math-1752 Quantifier-resolved off-diagonal semi-algebraic graph Ramsey numbers
- Math-1753 A small Fano-good tight path and the connectedness convention
- Math-1754 A q-Eulerian last-site law for cycle IDLA
- Math-1755 Naturality as an affine automorphism action
- Math-1756 Periodic Laplacian certificates for robustness and explosion
- Math-1757 A boundary-flux reduction for the mean square-grid sandpile identity
- Math-1758 The full toppling Gröbner fan in the tree case
- Math-1759 Uniform versus torsion-squared higher spanning trees
- Math-1760 Recognizing undirected reduced Laplacian lattices
- Math-1761 An alternating flat family for the complete 3-graph lower bound
- Math-1762 Low temporal repetition forces excess trace
- Math-1763 Temporal trace semantics and a bounded-repetition special case
- Math-1764 Charbit's spectral short-cycle conjecture: the sharp digon case and a Perron-period obstruction
- Math-1765 LP obstructions and cyclic blow-ups for DeVos's distribution conjecture
- Math-1766 An order-statistic form of Shen's deficit conjecture
- Math-1767 Dense nonsumsets and cyclic-interval square roots
- Math-1768 Order lifting for sparse additive bases of polynomial values
- Math-1769 Exponential upper and lower bounds for the additive basis order of multiplicative subgroups
- Math-1770 Cancellation thresholds and a prime-repunit obstruction for multiplicative subgroups
- Math-1771 Direction-complete finite-field sets and quadratic secant lifting
- Math-1772 Finite-field point-line incidences and a projective no-wrap criterion
- Math-1773 A chain-deficit theorem and exact multidimensional constructions for restricted sums
- Math-1774 Exact subgroup self-sumsets and a robust quotient-character leakage bound
- Math-1775 The differentiable diameter sphere problem: a three-gate obstruction
- Math-1776 Almost half-maximal diameter and threshold realizability
- Math-1777 Chern-lattice obstructions to positively curved principal two-torus bundles
- Math-1778 Surface quotient, bundle normal forms, and a WNN escape condition
- Math-1779 Finite-window largeness of the O'Neill tensor
- Math-1780 The maximal symmetry-rank conjecture and a sharp product defect formula
- Math-1781 Rank-six bundles over S^3 x S^3: classification, stabilization, and soul rigidity
- Math-1782 Explicit stable homogeneous representatives over S^2 x S^2
- Math-1783 A quadratic-relation sieve for formality in dimension seven
- Math-1784 Almost-cyclic fundamental groups: normality, linear models, and dimension three
- Math-1785 Pinching-gap reduction and dimension-six finiteness
- Math-1786 Uniform pinching via the best-pinching functional
- Math-1787 Questions in Geometric Group Theory — Q 1.6
- Math-1788 Questions in Geometric Group Theory — Q 1.8
- Math-1789 Questions in Geometric Group Theory — Q 1.10
- Math-1790 Questions in Geometric Group Theory — Q 1.11
- Math-1791 Questions in Geometric Group Theory — Q 1.15
- Math-1792 Questions in Geometric Group Theory — Q 1.16
- Math-1793 Questions in Geometric Group Theory — Q 2.2
- Math-1794 Questions in Geometric Group Theory — Q 2.6
- Math-1795 Questions in Geometric Group Theory — Q 2.8
- Math-1796 Questions in Geometric Group Theory — Q 2.9
- Math-1797 Questions in Geometric Group Theory — Q 2.11
- Math-1798 Questions in Geometric Group Theory — Q 2.13
- Math-1799 Questions in Geometric Group Theory — Q 2.14
- Math-1800 Questions in Geometric Group Theory — Q 2.16