Research

Research Areas

Mathematics

• Conformal field theory (CFT) and the geometric Langlands correspondence;

• Moduli spaces: Teichmüller spaces, Hitchin's moduli spaces, flat connections;

• Quantisation of these moduli spaces, relations to CFT and the geometric Langlands correspondence;

• Isomonodromic deformations and tau-functions;

• Hyperkähler and quaternionic Kähler geometry.

QFT and String Theory

• Topological string theory;

• Relations to the non-perturbative physics of supersymmetric gauge theories;

• Relations to integrable models and conformal field theories;

• Supersymmetric line and surface defects probing integrable structures.