Among the major research topics of the optimization group are
- the modeling and solution of real live scenarios, e.g., in telecommunication, chemical engineering and life sciences;
- the derivation of structural results related to general discrete sets, e.g., with respect to representability;
- the development of an algorithmic theory of integer optimization, e.g., for linear and polynomial mixed integer systems.
The institute trains math students, doctoral students and post-docs with various backgrounds. The training of the students is partially supported by industrial sources, the European Union and the German Science Foundation.