Analysis
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-42 Kakeya Conjecture in Dimensions Four and Higher
- Math-43 Sharp Exponents in the Fourier Restriction Conjecture
- Math-44 Invariant subspace problem
- Math-104 Isomorphism of Free Group Factors
- Math-185 Bochner-Riesz conjecture
- Math-205 Local Smoothing for the Euclidean Wave Equation
- Math-207 UCT Problem for Separable Nuclear Complex C*-Algebras
- Math-253 Banach-Mazur Rotation Problem
- Math-256 Kadison Similarity Problem for C*-Algebras
- Math-348 Koebe circle-domain uniformization conjecture
- Math-353 Corona problem for the unit polydisc
- Math-361 Iwaniec Conjecture for the Beurling-Ahlfors Transform Norm
- Math-372 Sharp Multidimensional Star-Discrepancy Asymptotics
- Math-375 Corona Problem for the Unit Ball in Several Complex Variables
- Math-384 Toms–Winter: Strict Comparison Implies Z-Stability
- Math-390 Lieb-Thirring Conjecture on the Sharp Constant for Riesz Means of Order One in Three Dimensions
- Math-406 Pólya's Conjecture for Dirichlet Eigenvalues
- Math-409 Separable Quotient Problem for Banach Spaces
- Math-443 Von Neumann's Problem for II_1 Factors
- Math-448 Balanced L4 boundedness of the trilinear Hilbert transform
- Math-467 Arveson-Douglas Essential Normality Conjecture for Homogeneous Quotient Modules
- Math-474 David–Semmes Riesz-transform problem in intermediate dimensions
- Math-496 Spectral Determination of Convex Planar Domains
- Math-1010 $C^r$ Stability Conjecture
- Math-1844 Research Problems in Function Theory — Problem 4.6
- Math-1845 Research Problems in Function Theory — Problem 4.7
- Math-1846 Research Problems in Function Theory — Problem 4.24
- Math-1847 Research Problems in Function Theory — Problem 4.25
- Math-1848 Research Problems in Function Theory — Problem 4.26
- Math-1849 Research Problems in Function Theory — Problem 4.27
- Math-1850 Research Problems in Function Theory — Problem 4.30
- Math-1851 Research Problems in Function Theory — Problem 5.39
- Math-1852 Research Problems in Function Theory — Problem 5.43
- Math-1853 Research Problems in Function Theory — Problem 5.60
- Math-1854 Research Problems in Function Theory — Problem 5.67
- Math-1905 Fuchsian equations with unitary monodromy
- Math-1906 Accessory parameters of the Heun equation
- Math-1911 Backward uniqueness for the heat equation
- Math-1913 Indicators of linear combinations
- Math-1914 Analytic germs with prescribed convex barriers
- Math-1915 Composite periodic entire functions
- Math-1916 Zeros and one-points on three rays
- Math-1917 Levin's derivative-zero problem
- Math-1918 Small components of subharmonic level sets
- Math-1919 Decay of separated subharmonic level components
- Math-1920 Equilibrium for infinitely many positive masses
- Math-1921 Goldberg's constant
- Math-1922 Two one-points in the unit disk
- Math-1923 Real two-one-point extremals
- Math-1924 Belgian Chocolate constant