Mathematics catalogue
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-10801 Algebraic Stories — The $k$-rank of monomials
- Math-10802 Algebraic Stories — Degree of the Waring map
- Math-10803 Algebraic Stories — Ideals of generic forms
- Math-10804 Algebraic Stories — Hilbert series of generic power ideals.
- Math-10805 Algebraic Stories — Hilbert series of other classes of ideals
- Math-10806 Algebraic Stories — Hilbert series of other classes of ideals
- Math-10807 Algebraic Stories — Lefschetz properties of graded algebras
- Math-10808 Algebraic Stories — Lefschetz properties of graded algebras
- Math-10809 Algebraic Stories — Lefschetz properties of graded algebras
- Math-10810 Algebraic Stories — Hilbert functions of fat points.
- Math-10811 Algebraic Stories — Symbolic powers vs. ordinary powers.
- Math-10812 Algebraic Stories — Hilbert series of numerical semigroup rings
- Math-10813 Algebraic Stories — Polynomial generation
- Math-10814 Algebraic Stories — Polynomial generation
- Math-10815 Algebraic Stories — Exterior algebras
- Math-10816 Algebraic Stories — Exterior algebras
- Math-10817 Green's conjecture
- Math-10818 Williamson matrix existence problem
- Math-10819 Hadamard's maximal determinant problem
- Math-10820 Eremenko–Gabrielov secant conjecture
- Math-10821 Geometry of Continued Fractions — Faces of sails
- Math-10822 Geometry of Continued Fractions — Further open questions
- Math-10823 Some Open Problems in Elasticity — Existence of minimizers
- Math-10824 Some Open Problems in Elasticity — Regularity of minimizers
- Math-10825 Some Open Problems in Elasticity — Lavrentiev phenomena
- Math-10826 Some Open Problems in Elasticity — Uniqueness of equilibrium
- Math-10827 Some Open Problems in Elasticity — Quasiconvexification of energy wells
- Math-10828 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-10829 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-10830 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-10831 Open Problems in Integrable Systems — Topology of integrable systems, Lagrangian fibrations, and their invariants
- Math-10832 Open Problems in Integrable Systems — Two-dimensional case.
- Math-10833 Open Problems in Integrable Systems — Two-dimensional case.
- Math-10834 Open Problems in Integrable Systems — Polynomial in momenta integrals in higher dimensions.
- Math-10835 Open Problems in Integrable Systems — Polynomial in momenta integrals in higher dimensions.
- Math-10836 Open Problems in Integrable Systems — Superintegrable systems
- Math-10837 Open Problems in Integrable Systems — Superintegrable systems
- Math-10838 Open Problems in Integrable Systems — Around the Birkhoff conjecture
- Math-10839 Open Problems in Integrable Systems — Geometry of caustics, invariant surfaces, and commuting billiard maps
- Math-10840 Open Problems in Integrable Systems — Bi-Poisson vector spaces
- Math-10841 Open Problems in Integrable Systems — Bi-Poisson vector spaces
- Math-10842 Open Problems in Integrable Systems — Argument shift method and Jordan-Kronecker invariants of Lie algebras
- Math-10843 Open Problems in Integrable Systems — Argument shift method and Jordan-Kronecker invariants of Lie algebras
- Math-10844 Open Problems in Integrable Systems — Nijenhuis operators: singular points and global properties
- Math-10845 Open Problems in Integrable Systems — Nijenhuis operators: singular points and global properties
- Math-10846 Open Problems in Integrable Systems — Nijenhuis operators: singular points and global properties
- Math-10847 Open Problems in Integrable Systems — Nijenhuis operators: singular points and global properties
- Math-10848 Open Problems in Integrable Systems — Nijenhuis operators: singular points and global properties
- Math-10849 Open Problems in Integrable Systems — Poisson geometry and action-angle variables
- Math-10850 Open Problems in Integrable Systems — Integrability and Quantisation