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-1901 Local edge-connectivity augmentation of a hypergraph with fixed rank
- Math-1902 Maximum square-free 2-matching
- Math-1903 Maximum weight bounded fractional matching
- Math-1904 Maximum weight k-element subsets of perfect matchings
- Math-1905 Min-sum two edge-disjoint paths
- Math-1906 Opposite vertices of base polyhedra
- Math-1907 Orientation with shortest round trip
- Math-1908 Parity constrained strongly connected orientations
- Math-1909 Partition median problem
- Math-1910 Partitioning a bipartite graph into proportional factors
- Math-1911 Rainbow matchings in bipartite graphs
- Math-1912 Rota's conjecture on disjoint bases
- Math-1913 Scrambled Rota conjecture
- Math-1914 Serial symmetric exchanges
- Math-1915 Strong colouring of matroid-graph pairs
- Math-1916 Upper bound on common independent set cover
- Math-1917 Weighted bipartite edge colouring
- Math-1918 Fuchsian equations with unitary monodromy
- Math-1919 Accessory parameters of the Heun equation
- Math-1920 Makienko conjecture
- Math-1921 Completely invariant Fatou components
- Math-1922 Analytic degenerate Herman rings
- Math-1923 Number of degenerate Herman rings
- Math-1924 Backward uniqueness for the heat equation
- Math-1925 Classification of spherical quadrilaterals
- Math-1926 Indicators of linear combinations
- Math-1927 Analytic germs with prescribed convex barriers
- Math-1928 Composite periodic entire functions
- Math-1929 Zeros and one-points on three rays
- Math-1930 Levin's derivative-zero problem
- Math-1931 Small components of subharmonic level sets
- Math-1932 Decay of separated subharmonic level components
- Math-1933 Equilibrium for infinitely many positive masses
- Math-1934 Goldberg's constant
- Math-1935 Two one-points in the unit disk
- Math-1936 Real two-one-point extremals
- Math-1937 Belgian Chocolate constant
- Math-1938 Rational Goldberg extremals
- Math-1939 Better estimates for Littlewood constants
- Math-1940 Extremality of iterated quadratic polynomials
- Math-1941 Maximizing quadratic pressure
- Math-1942 Carleson–Jones quarter conjecture
- Math-1943 Connectedness of extremal Green level sets
- Math-1944 Median inequality for three subharmonic functions
- Math-1945 Defect relation for points in $\mathbb P^2$
- Math-1946 Holomorphic curves with bounded spherical derivative
- Math-1947 Generic static-output stabilizability
- Math-1948 Conjugate one-points in the unit disk
- Math-1949 Symmetric one-points in the unit disk
- Math-1950 Entropy values and Lehmer's problem