1.

Algebraic and Geometrical Foundations of Supersymmetry

2.

Lie Algebra and Super Lie Algebra Theory

3.

Geometrical Foundations of Supergravity

4.

General Relativity

5.

Kaehler Geometry / HyperKaehler Geometry / Quaternionic Geometry

6.

Black Hole Solutions in Supergravity

7.

Sasakian Manifolds

8.

Cosmological Solutions of Supergravity / Cosmic Billiards

9.

Kaluza Klein Supergravity / Gauge Gravity Correspondence

10.

Topological Field Theories / Instantons and Solitons

11.

Brane solutions

12.

Resolution of Singularities and the Kronheimer construction

13.

Conformal Field Theories

14.

Discrete Groups and Lattices

15.

Integrable Models

16.

Mathematical Fluid Dynamics