Research
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
My research in the past:
- Holographic renormalization group
- Applications of AdS/CFT
- One-dimensional quasicrystals
My collaborators:
- Emil Akhmedov (ITEP, Moscow)
- Elmar Asgerov (JINR, Dubna)
- Tigran Kalaydzhyan (Stony Brook, USA)
- Andrew Kels (Tokyo, Japan)
- Ingo Kirsch (DESY, Hamburg)
- Edvard Musaev (Potsdam, Germany)
- Hjalmar Rosengren (Chalmers, Gothenburg)
- Vyacheslav Spiridonov (JINR, Dubna)
- Kemal Tezgin (University of Connecticut, USA)
- Grigory Vartanov (private sector, Moscow)