At the Institute of Mathematics, our research spans from fundamental mathematical studies to interdisciplinary collaboration. In the CRC TRR 358 project, Integral Structures in Geometry and Representation Theory, mathematicians from analysis and algebra work across traditional disciplinary boundaries. Additionally, our research focuses on stochastics, applied mathematics, and close partnerships with industry. We also place strong emphasis on mathematics education, integrating it into the Institute through collaborative research projects between mathematics education specialists and mathematicians.