Theory of modern special functions emerging in exact computations of partition functions in 2, 3, 4, 5, 6 dimensional supersymmetric field theories, corresponding superconformal indices and Seiberg dualities. Exactly solvable 2d lattice models of Ising type, 2d conformal field theories, star-triangle relation and Yang-Baxter equation. Theory of elliptic hypergeometric functions and elliptic integrable systems.
The research requires mathematically minded approach in the Dirac style: physics suggests the mathematical objects for investigation, and exact formulas derived via mathematical logic help to understand the physics behind.
Successful students may get additional financial support from research grants.