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-5351 Exact alternation depth and variable bounds for two real rational-function fields
- Math-5352 Finite homogeneous maps and a sharp fiber bound
- Math-5353 Encoding and convexity obstructions in the stated hyperbolic-feasibility problem
- Math-5354 The three-measure Katok Finsler flow
- Math-5355 Haar squashability on nilpotent regular covers
- Math-5356 Entropy and no escape as a convergence criterion
- Math-5357 A quantitative Borel-Cantelli estimate for VWA matrices
- Math-5358 The logarithmic threshold and a malformed epsilon quantifier
- Math-5359 The exact logical consequence of the EKL Littlewood exceptional-set theorem
- Math-5360 Logical separation of the neighboring Margulis conjectures
- Math-5361 A continuation fragment about opposite Weyl chambers and full dimension
- Math-5362 Full dimension for the lattice solutions of Conjecture 33
- Math-5363 Progression lifting gives a four-dimensional shrinking-gap family
- Math-5364 Non-isolation of the second inhomogeneous minimum
- Math-5365 A height-moment criterion for recovering escaped arithmetic quantum mass
- Math-5366 Projective normalization for continuous-spectrum quantum measures
- Math-5367 Semiclassical setup and commutator-coboundary invariance
- Math-5368 A support obstruction and a Wasserstein repair of Conjecture 42
- Math-5369 Coarea normalization for the Question 45 continuation
- Math-5370 A split status sentence for Weiss's divergent-orbit conjecture
- Math-5371 The one-parameter and full-torus status cases of Conjecture 48
- Math-5372 The general rational-rank obstruction and a finite-isogeny audit
- Math-5373 The former exceptional diagonal subgroup in SL_4
- Math-5374 Equidistribution as a route to special closure
- Math-5375 Frozen Lopatinski symbols and exact spherical capillary mode corrections
- Math-5376 Toda one-soliton spectrum, sharp weight threshold, and Floquet convention audit
- Math-5377 Arbitrary-period stability exchange on the local Zaitsev branch
- Math-5378 The differentiated Benjamin--Ono spectral problem
- Math-5379 Exact state chamber and integrable interaction for a separating thin-film shock pair
- Math-5380 Branch-aware well balancing and a resonance obstruction for oscillatory forcing
- Math-5381 Well-balanced reconstruction for hyperbolic chemotaxis
- Math-5382 A smooth moment-realizability obstruction for non-Gaussian kinetic closures
- Math-5383 A mass-drift certificate for spherical shallow-water patch coupling
- Math-5384 A commutator and equilibrium-projection obstruction for stiff splitting
- Math-5385 Exact interface balance and a raw-density current diagnostic for semiconductor drift-diffusion
- Math-5386 Flux-conservative Liouville scattering at a potential step
- Math-5387 Two-scale fate of minimax periodic orbits near an irrational cantorus
- Math-5388 A quantitative primal-dual certificate for stochastic Mather measures
- Math-5389 From formal graph and density expansions to Mather-measure error bounds
- Math-5390 Flat-germ obstruction to large minimal periods and genuine quasi-periodicity
- Math-5391 Exact norm of the CAR generator matrix
- Math-5392 Conditional nonmicrostates entropy and a duplicated-generator obstruction
- Math-5393 Smooth-witness and semicircular-attractor obstructions to free strong unimodality
- Math-5394 Symmetric unimodality under free additive convolution
- Math-5395 Scalar circular resolvent estimate and the sharp two-thirds obstruction
- Math-5396 A slice–Bochner criterion for joint logarithmic potentials
- Math-5397 Approximating and pointwise local-growth spaces can differ
- Math-5398 Fourier shadows and the quartic tensor-free defect
- Math-5399 A moment-free R-transform for an unbounded R-diagonal pair
- Math-5400 The doubled-Fock copied-letter gradient of the q-Gaussian number operator