Main Research Interests
- Moduli spaces of sheaves , Study of the geometric properties of moduli spaces of sheaves on algebraic varieties.
- Symplectic and Poisson geometry , Study of manifolds admitting symplectic or Poisson structures. Symplectic and Poisson structures naturally defined on moduli spaces of sheaves.
- Completely integrable systems , Study of algebraically completely integrable systems. Integrable systems defined on moduli spaces of sheaves and on Hilbert schemes of points.
- Differential equations of mathematical physics , Differential equations of type KdV, KP, etc. Methods of solution based on the theory of theta functions.