Algebraic and Geometrical Foundations of Supersymmetry
Lie Algebra and Super Lie Algebra Theory
Geometrical Foundations of Supergravity
General Relativity
Kaehler Geometry / HyperKaehler Geometry / Quaternionic Geometry
Black Hole Solutions in Supergravity
Sasakian Manifolds
Cosmological Solutions of Supergravity / Cosmic Billiards
Kaluza Klein Supergravity / Gauge Gravity Correspondence
Topological Field Theories / Instantons and Solitons
Brane solutions
Resolution of Singularities and the Kronheimer construction
Conformal Field Theories
Discrete Groups and Lattices
Integrable Models
Mathematical Fluid Dynamics