The Research Station Geometry & Dynamics is a vibrant research center at the Mathematical Institute of Heidelberg University which conducts fundamental research in geometry and dynamics and explores applications and interactions with other sciences.

The cluster of excellence STRUCTURES explores new concepts and methods for understanding how structure, collective phenomena, and complexity emerge from the fundamental laws of physics.

A Collaborative Research Centre on “Symplectic Structures in Geometry. This CRC is based at the universities of Bochum, Cologne and Heidelberg.

The CRC 326 „Geometry and arithmetic of uniformized structures - GAUS“ is a Collaborative Research Centre of Heidelberg University, Goethe University Frankfurt and the Technical University of Darmstadt with the goal to explorate complicated geometric and arithmetic spaces with the help of uniformization.

The RTG 2229 “Asymptotic Invariants and Limits of Groups and Space” is a joint research training group of Heidelberg University and the Karlsruhe Institute of Technology. It is part of the HEiKa-Allianz, the Heidelberg Karlsruhe Strategic Partnership launched in 2018.

The Probability & Statistics Group Heidelberg-Mannheim is a joint effort of the institutes of mathematics at the Universities of Heidelberg and Mannheim to join their efforts in research and teaching in the field of mathematical statistics, probability theory and applications.