## What we do

Research interests in our group are varied and span a wide range of topics in modern mathematics and physics. Our main areas of research are:

- asymmetric exclusion process (ASEP) and zero-range processes
- classical and quantum integrable systems
- conformal field theory
- equilibrium and non-equilibrium statistical mechanics including spin models
- instantons and monopoles
- low-dimensional quantum gravity
- noncommutative field theory
- solitons
- solvable lattice models
- string theory and M-theory
- supersymmetric gauge theories
- topological quantum field theories

Our work makes use of and develops various topics from pure mathematics such as:

- differential, complex, algebraic
- higher algebraic and geometric structures
- K-theory
- noncommutative and geometry
- quantum groups
- topology