Curriculum

The IMPRS offers a curriculum with both introductory and advanced lectures at the graduate level in a stimulating research environment. Possible topics of lecture courses include:

1. Introductory Courses:
   • Introduction to supersymmetry and supergravity
   • Black holes
   • Basics of superstring theory
   • Advanced quantum field theory
   • Nonlinear partial differential equations
   • Mathematical foundations of General Relativity
   • Advanced differential geometry
   
   
2. Advanced Courses (selection):
   • Special topics in string theory (D-branes, black holes, non- commutative geometry, string cosmology)
   • Geometric evolution equations
   • Variational problems in geometry and physics
   • Initial value problem for the Einstein equations
   • Singularities of solutions to PDEs
   • String compactifications
   • Conformal field theory
   • Mathematical methods for string theory
   
   
3. Seminars and Colloquia:
   The AEI and the participating universities offer regular research seminars and colloquia, in which the students are expected to participate. The executive committee organises joint seminars, colloquia and small symposia to create close contacts and interactions between all graduate students and research groups in the program.