Research Areas

Algebraic Structures in Mathematical Physics (FoR 010501)
Groups and algebras in quantum theory (MSC 81Rxx)  
Hopf algebras, quantum groups and related topics (MSC 16Txx)  
K-theory (MSC 19Kxx)  
Lie algebras and Lie superalgebras (MSC 17Bxx)  
Lie groups (MSC 22Exx)  
Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) (MSC 46Lxx)  

Integrable Systems (Classical and Quantum) (FoR 010502)
Completely integrable systems integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) (MSC 37K10)  
Exactly solvable models; Bethe ansatz (MSC 82B23)  

Classical Mechanics, Quantum Mechanics and Quantum Information Theory (FoR 010503)
Applications to specific physical systems (MSC 81Vxx)  
Mechanics of particles and systems (MSC 70xx)  
Operations research, mathematical programming (MSC 90xx)  
Partial differential equations (MSC 35xx)  
Quantum coherence, entanglement, quantum correlations (MSC 81P40)  
Quantum information, communication, networks (MSC 81P45)  

General Relativity (FoR 010504)
Differential Geometry (MSC 53xx)  
Relativity and gravitational theory (MSC 83xx)  

Quantum and Conformal Field Theory, Quantum Gravity and String Theory (FoR 010505)
Axiomatic quantum field theory; operator algebras (MSC 81T05)  
Casimir effect (MSC 81T55)  
Constructive quantum field theory (MSC 81T08)  
Electromagnetic interaction; quantum electrodynamics (MSC 81 V10)  
String and superstring theories; other extended objects (e.g., branes) (MSC 81T30)  
Supergravity (MSC 83E50)  
Supersymmetric field theories (MSC 81T60)  
Topological field theories (MSC 81T45)  
Two-dimensional field theories, conformal field theories (MSC 81T40)  
Yang-Mills and other gauge theories (MSC 81T13)  

Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter (FoR 010506)
Applications to specific types of physical systems (MSC 82Dxx)  
Equilibrium statistical mechanics (MSC 82Bxx)  
Time-dependent statistical mechanics (dynamic and nonequilibrium) (MSC 82Cxx)  

Mathematical Physics not elsewhere classified (FoR 010507)
Algebraic Geometry (MSC 14xx)  
Deformations of analytic structures (MSC 32Gxx)  
Equations of mathematical physics and other areas of application (35Qxx)  
Mathematical biology in general (MSC 92XX)  
Maxwell equations (35 Q61)  
Non-commutative Geometry (MSC 58Bxx)  
Special relativity (83 A05)