Research areas

Mathematical structures of quantum field theory and string theory

  • Mirror Symmetry and Bridgeland stability conditions

  • Hall algebras and Donaldson-Thomas Theory

  • Topological field and string theory

  • Relations to integrable systems

Complex algebraic geometry and applications

  • Enumerative invariants; moduli spaces of curves, and allied enumerative theories

  • Homological algebra, geometry and K-theory of singularities

  • Derived categories and Grothendieck ring of varieties

  • Relations to combinatorics