Mathematical Physics

This project considers a number of problems from Mathematical Physics. Mathematical Physics has as its main goal a mathematical understanding of physical theories. This will not only lead to a validation of physical predictions, but often brings surprising new insights to our view of the world. An important aspect is the development of new techniques and methods in mathematics,physics, and related fields. The problems discussed here mainly come from the Physics of Atoms and Molecules, Condensed Matter, High Energy, and Cosmology. The topics of focus in this project are characterized by a range of common mathematical methods. These methods include results and techniques from functional analysis, operator theory, and geometric analysis. In the context of this project questions from these areas of mathematics will also be pursued in their own right.