We have pen PhD positions to start on October 2025 or later. More information can be found here.
Next May there will be a series of lectures on "Real algebraic geometry and Hodge theory", held by our Mercator-Fellow Olivier Benoist. More information can be found here.
In June, our Mercator-Fellow Shigeru Mukai will visit both Hannover and Berlin. More precise informations will come in due time.
The program has just startet on October 1, 2024, and will run in its first phase through September 30, 2029. It will be hosted by Leibniz Universität Hannover (LUH) and Humboldt-Universität zu Berlin (HU).
The RTG focuses on the fascinating connections between geometry and numbers. The goal is to uncover, describe, and understand new geometric objects and shapes that cannot be visualized — often neither by humans nor by computers. These shapes are frequently described by algebraic equations, some of which play an important role in theoretical physics. Even if the algebraic equations appear simple, the important geometric properties of the corresponding solution sets are often unknown. The goal of the RTG is to understand these solution sets and reveal the beautiful underlying geometry. An important principle is the idea that one can associate numerical invariants to geometric objects, for instance via counting points or special curves, by topological and Hodge theoretic means, or via combinatorial and moduli theoretical approaches.
Students admitted to this RTG will study an exciting blend of geometry, algebra, and number theory, and use this to push the boundaries of mathematical knowledge in these fields through their own research.
Leading this RTG are Prof. Dr. Stefan Schreieder from LUH (speaker) and Prof. Dr. Gavril Farkas from HU Berlin (co-speaker). The remaining principal investigators are Prof. Dr. Gaëtan Borot (HU), Prof. Dr. Michael Cuntz (LUH), Prof. Dr. Ulrich Derenthal (LUH), Prof. Dr. Bruno Klingler (HU), Jun.-Prof.Dr. Thomas Krämer (HU), PD Dr. Angela Ortega (HU), Prof. Dr. Matthias Schütt (IAG), and Jun.-Prof. Dr. Isabel Stenger (IAG).