The faculty contributes to the curricula of many other faculties, most notably Computer Science, Microsystems Engineering, Medicine, Biology, Chemistry, Pharmacology, and Geoscience.

The main areas of research at the Institute of Mathematics are: algebra, number theory, geometry, analysis, model theory, algorithmic logic, theory and numerics of partial differential equations, and, finally, stochastics and financial mathematics. The section for didactics of mathematics is a special teaching unit providing practical skills for teachers. The Institute of Mathematics hosts the DFG (German Research Foundation) research training group ‘Cohomological Methods in Geometry’.