Physics catalogue
The Top Open Problems editorial order restricted to Physics, with ranks numbered within this field. Unassessed entries retain their previous relative order. About rankings
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- Phys-101 Quantum Diffusion in the Anderson Model
- Phys-102 Absolutely Continuous Spectrum Under a Weighted L2 Condition
- Phys-103 Mathematical Nuclear Shell Model
- Phys-104 First-Principles Molecular Configurations
- Phys-105 Existence of Quantum Crystals
- Phys-106 Continuity of the Integrated Density of States
- Phys-107 Riemann-Hilbert Problem with non-analytic data
- Phys-108 Painlev\'e equations
- Phys-109 Non-self adjoint spectral problems
- Phys-110 Long-time behavior with non-generic initial data
- Phys-111 The parking problem
- Phys-112 A Tracy-Widom Central Limit Theorem
- Phys-113 Perturbation theory for infinite dimensional integrable systems
- Phys-114 Perturbation theory for exactly solvable combinatorial problems
- Phys-115 Initial/boundary value problems for integrable systems
- Phys-116 Multi-matrix models and models with an external field
- Phys-117 KdV with almost periodic initial data
- Phys-118 interacting particle systems and KPZ
- Phys-119 numerical computation with random data
- Phys-120 initial boundary value problems for integrable systems (IBVP)
- Phys-121 numerical solution of integrable systems
- Phys-122 additional problems for integrable systems
- Phys-123 Rigorous Diffraction from Two Slits
- Phys-124 When semiclassical spectra follow curves—and when they fill area
- Phys-125 Complex Bohr-Sommerfeld action and a stability obstruction
- Phys-126 Exact zero-Kerr spectrum and high-energy Kerr localization
- Phys-127 Canonical versus abstract hyper-Kähler structures on cotangent bundles
- Phys-128 Exact complex-linear spin propagation and a nonlinear coherence-loss benchmark
- Phys-129 The sharp Laptev-Safronov threshold and a Lorentz-stable tube obstruction
- Phys-130 Axis and low-dimensional cases of Levitin's disk-intersection conjecture
- Phys-131 A non-polynomial complex potential with entirely real spectrum
- Phys-132 A one-coupling J-Schur certificate for projected spectral enclosures
- Phys-133 When holomorphic anomaly equations survive fiber integration
- Phys-134 Differential fingerprints of eta-products
- Phys-135 Holomorphic anomaly, fibrations, and the BPS multiple-cover transform
- Phys-136 Compact-fixed-locus definitions and pole obstructions for noncompact elliptic genera
- Phys-137 A normal-symbol criterion for lower-dimensional modular reduction
- Phys-138 Coefficientwise indices and a level-two Calabi--Yau/CFT test
- Phys-139 Paramodular consistency tests for Calabi-Yau counting series
- Phys-140 Normalization-aware leading quintic amplitudes at the Gepner point
- Phys-141 Hurwitz class numbers, CM enumeration, and local conductor layers
- Phys-142 Formal, Jacobi, and wave-function transformations of the string coupling
- Phys-143 Mirror-quintic periods, modular-type structures, and a conifold obstruction
- Phys-144 Functional equations and an Euler-product obstruction for mixed mock L-series
- Phys-145 Hauptmodul differential equations for an even-weight mixed-mock class
- Phys-146 Mock modularity, geometric invariants, and finite pole tomography
- Phys-147 A two-vertex counterexample to color-number monotonicity
- Phys-148 Equatorial symmetry and a Jacobian-jet test for local Kerr caustic cusps
- Phys-149 An invariant certificate for caustic-forming Kerr rays
- Phys-150 Melrose's answer, compact Sobolev embedding, and escape of mass