Physics
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-4647 Meaning and Impossibility of Exact Helium Energy Levels
- Math-4648 Quantum Diffusion in the Anderson Model
- Math-4649 Absolutely Continuous Spectrum Under a Weighted L2 Condition
- Math-4650 Mathematical Nuclear Shell Model
- Math-4651 First-Principles Molecular Configurations
- Math-4652 Existence of Quantum Crystals
- Math-4653 Continuity of the Integrated Density of States
- Math-4654 Riemann-Hilbert Problem with non-analytic data
- Math-4655 Painlev\'e equations
- Math-4656 Non-self adjoint spectral problems
- Math-4657 Long-time behavior with non-generic initial data
- Math-4658 The parking problem
- Math-4659 A Tracy-Widom Central Limit Theorem
- Math-4660 Perturbation theory for infinite dimensional integrable systems
- Math-4661 Perturbation theory for exactly solvable combinatorial problems
- Math-4662 Initial/boundary value problems for integrable systems
- Math-4663 Multi-matrix models and models with an external field
- Math-4664 KdV with almost periodic initial data
- Math-4665 interacting particle systems and KPZ
- Math-4666 numerical computation with random data
- Math-4667 initial boundary value problems for integrable systems (IBVP)
- Math-4668 numerical solution of integrable systems
- Math-4669 additional problems for integrable systems
- Math-4670 Rigorous Diffraction from Two Slits
- Math-4671 When semiclassical spectra follow curves—and when they fill area
- Math-4672 Complex Bohr-Sommerfeld action and a stability obstruction
- Math-4673 Exact zero-Kerr spectrum and high-energy Kerr localization
- Math-4674 Canonical versus abstract hyper-Kähler structures on cotangent bundles
- Math-4675 Exact complex-linear spin propagation and a nonlinear coherence-loss benchmark
- Math-4676 The sharp Laptev-Safronov threshold and a Lorentz-stable tube obstruction
- Math-4677 Axis and low-dimensional cases of Levitin's disk-intersection conjecture
- Math-4678 A non-polynomial complex potential with entirely real spectrum
- Math-4679 A one-coupling J-Schur certificate for projected spectral enclosures
- Math-4680 When holomorphic anomaly equations survive fiber integration
- Math-4681 Differential fingerprints of eta-products
- Math-4682 Holomorphic anomaly, fibrations, and the BPS multiple-cover transform
- Math-4683 Compact-fixed-locus definitions and pole obstructions for noncompact elliptic genera
- Math-4684 A normal-symbol criterion for lower-dimensional modular reduction
- Math-4685 Coefficientwise indices and a level-two Calabi--Yau/CFT test
- Math-4686 Paramodular consistency tests for Calabi-Yau counting series
- Math-4687 Normalization-aware leading quintic amplitudes at the Gepner point
- Math-4688 Hurwitz class numbers, CM enumeration, and local conductor layers
- Math-4689 Formal, Jacobi, and wave-function transformations of the string coupling
- Math-4690 Mirror-quintic periods, modular-type structures, and a conifold obstruction
- Math-4691 Functional equations and an Euler-product obstruction for mixed mock L-series
- Math-4692 Hauptmodul differential equations for an even-weight mixed-mock class
- Math-4693 Mock modularity, geometric invariants, and finite pole tomography
- Math-4694 A two-vertex counterexample to color-number monotonicity
- Math-4695 Equatorial symmetry and a Jacobian-jet test for local Kerr caustic cusps
- Math-4696 An invariant certificate for caustic-forming Kerr rays