Mathematical Physics

Department of Field Theory
Institute of Theoretical Physics

Research into mathematical physics, conformal field theory, solitons, quantum field theory, algebraic methods, nnoncommutative geometry.

Noncommutative geometry: spectral triples, noncomutative manifolds, quantum groups. Classical and quantum field theory; quantum mechanics; mathematical methods in physics. Conformal field theory, matrix models and topological recurrence. Infrared structure of quantum electrodynamics and other fundamental problems of quantum field theory; backreaction (Casimir) effect in quantum theory. Classical field theories, solitons, relaxation, oscillons, quasi-normal modes, skyrmions, negative radiation pressure.