Overview
The research program is roughly devided into an analytic and a geometric part. The research projects deal with problems arising in many different fields of the natural sciences such as material sciences, micromagnetism, neural networks, general relativity, quantum field theory, capillarity and string theory. Moreover, one project is devoted to the applications of analytic methods in mathematics of finance. A characteristic feature of our college is the diversity of the projects. The research program is a mathematical program, coined by the methods of the calculus of variations, partial differential equations, Riemannian and symplectic geometry, algebraic, arithmetic and complex geometry and by the connection between numerics and analysis.
The study program shall lead the doctor students to a mathematical
understanding of the interplay between the natural sciences and mathematics.
Therefore lectures and seminars covering various aspects of this interplay
are provided. The participation of researchers of the
Max-Planck-Institute for Mathematics in the
Sciences (MPI) and the vast guest program of the MPI enhance the
options for scientific
education. An important role is played by seminars focussing on the fields of
the research program. These seminars are held by members of the university,
the MPI and guests. Moreover, winter schools and lecture series take place
regularly.