Areas of research interest include:
- complex and Kähler geometry, canonical Kähler metrics
- algebraic geometry, classification theory, Mori theory, Fano varieties
- symplectic geometry
- gauge-theory, knot theory, 3- and 4- dimensional topology
- Calabi-Yau manifolds, mirror symmetry, mathematical aspects of string theory (with the theoretical physics group), derived categories
- Geometric Invariant Theory
- Gromov-Witten invariants, moduli of curves
- calibrated geometry, exceptional holonomy, special Lagrangians
- geometric analysis, nonlinear elliptic PDE, geometric flows.
Research
Find out about other areas of research within the Mathematics Department at Imperial College