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-2055 Research Problems in Function Theory — Problem 5.53
- Math-2056 Research Problems in Function Theory — Problem 5.59
- Math-2057 Research Problems in Function Theory — Problem 5.63
- Math-2058 Research Problems in Function Theory — Problem 5.64
- Math-2059 Research Problems in Function Theory — Problem 5.68
- Math-2060 Research Problems in Function Theory — Problem 5.69
- Math-2061 Research Problems in Function Theory — Problem 5.70
- Math-2062 Research Problems in Function Theory — Problem 5.71
- Math-2063 Research Problems in Function Theory — Problem 5.72
- Math-2064 Research Problems in Function Theory — Problem 5.73
- Math-2065 Research Problems in Function Theory — Problem 5.74
- Math-2212 Research Problems in Function Theory — Problem 4.13
- Math-2213 Research Problems in Function Theory — Problem 4.14
- Math-2214 Research Problems in Function Theory — Problem 4.31
- Math-2215 Research Problems in Function Theory — Problem 6.94
- Math-2216 Research Problems in Function Theory — Problem 6.96
- Math-2217 Research Problems in Function Theory — Problem 6.109
- Math-2218 Flint Hills series
- Math-2268 Hot spots: high-dimensional refutation, product rules, and heat-flow quantifiers
- Math-2269 Lipschitz extension from Hilbert spaces into L1
- Math-2270 Finite-dimensional embeddings of doubling Hilbert subsets
- Math-2271 Higher-dimensional quantitative bi-Lipschitz parameterization and a scalar-curvature obstruction
- Math-2283 Logarithmic Brunn–Minkowski inequality and equality cases
- Math-2284 Log-Minkowski inequality for symmetric convex bodies
- Math-2285 $L_p$ Brunn–Minkowski inequality for symmetric convex bodies
- Math-2286 An ultrafilter-free local criterion for O2-ultrapower embeddability
- Math-2287 Positive consistency of Naimark's problem and a local hereditary reduction
- Math-2305 Characterization of cones admitting lifted LMI representations
- Math-2306 Polynomial-time lifted LMI representations of convex cones
- Math-2321 Z-Stability of Infinite Tensor Powers
- Math-2340 Wolff Cone-Decomposition and Local-Smoothing Conjectures
- Math-2353 Naimark's problem for $C^*$-algebras
- Math-2354 The Toms–Winter regularity conjecture
- Math-2355 Naimark's Problem for Nonseparable $C^*$-Algebras
- Math-2361 Brennan-Type Integrability for Crescent-Domain Conformal Maps
- Math-2366 Uniform Rectifiability from Bounded Riesz Transforms
- Math-2367 Higher-Dimensional Riesz Transforms and Uniform Rectifiability
- Math-2397 Almost-Everywhere Fourier Convergence in $L^{1}$
- Math-2432 $L^p$ Bounds for the Triangular Hilbert Transform
- Math-2440 Absolute Continuity and Densities of Bernoulli Convolutions
- Math-2453 Optimal Fourier Restriction Estimates on Submanifolds
- Math-2466 Monge Minimizers for Multimarginal Coulomb Transport
- Math-2477 Boundedness of Multilinear Hilbert Transforms
- Math-2478 Fractal Schrödinger Convergence Above Half Dimension
- Math-2479 Uniform Bounds for Two-Dimensional Bilinear Hilbert Transforms
- Math-2480 Fourier Restriction Conjecture in Higher Dimensions
- Math-2484 Fourier Restriction and Kakeya Incidence Conjectures
- Math-2485 General Kakeya Dimension Conjecture
- Math-2506 Higher-dimensional Kakeya conjecture
- Math-2695 Asymptotic midpoint renormability versus AUC