*Here are the main themes our group is currently working on.*

## Integrable systems

- Algebra, representation theory
- Reflection equations and q-Onsager algebras
- Open spin chains and Toda field theories
- Conformal field theory
- Isomonodromic deformations, Painlevé equations
- Noninear sigma models

## Classical dynamical systems

- Limit Cycles
- Applications in cosmology

## Quantum dynamics of complex systems

- Quantum chaos
- Tunnelling
- Quantum transport
- Decoherence

## Interactions with others fields

- Quantum groups, braid groups, representation theory, special functions