Fachbereich Mathematik
FachbereichMathematik
| Fachbereich Mathematik Bereich AD Bundesstraße 55 (Geomatikum) 20146 Hamburg | Raum 223 Tel.: +49 40 42838-6963 E-Mail: joerg.teschner (at) desy.de |  | 
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.
  
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.