In addition to its four institutes, the department concentrates its research activities in the Collaborative Research Center 1173 - Wave Phenomena, the Research Training Group 2229 - Asymptotic Invariants and Limits of Groups and Spaces, as well as the KIT Center MathSEE - Mathematics in Sciences, Engineering, and Economics.

The department offers 4 Bachelor of Science and Master of Science programmes. In addition, many classes are taught for students of other departments.