Centre for Operator Algebras, Geometry, Matter and Spacetime

Geometric scattering theory, Quantum resonances, Micro-local analysis, Geometric quantization in Lie theory, Branching problems on Lie groups, Orbit method.C*- and von Neumann algebras, Unitary representations, Ergodic Theory, Quantum Groups.Positive maps, CP-maps, CB-maps; and their semigroups and dilations, Entanglement breaking channels, Quantum Gaussian channels.Studying the algebra of BPS states in string theory and quantum field theory.Understanding re-normalization group and novel effective frameworks in non-perturbative quantum field theory in terms of operator algebra error correction. ; ; ; ;