Research interests
My research is on the interface of theoretical physics and mathematics:
Physics:
- Supersymmetric gauge theory (exact results in 4d N=1 and 3d N=2 theories)
- Integrable models (Exactly solvable two-dimensional lattice models, Star-triangle relation)
- Resurgence theory, applications to Quantum mechanics
Mathematics:
- Special functions, (basic and elliptic hypergeometric functions associated to root systems, pentagon identities)
- Topological field theories, in particular invariants of 3-manifolds
- Resurgence, divergent series