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LOEWE research unit USAG

Uniformized Structures in Arithmetic and Geometry

TU Darmstadt and GU Frankfurt


The LOEWE research unit Uniformized Structures in Arithmetic and Geometry aims at joining the broad expertise of TU Darmstadt and GU Frankfurt in the fields of number theory and arithmetic/algebraic geometry.

Our research program focusses on the following three research areas:

  1. Special Subvarieties
  2. Automorphic Forms
  3. Variation of Geometry

In research area A we explore Orthogonal Shimura Varieties and the Kudla Conjecture, in research area B we investigate Borcherds-Products as well as Vertex Algebras, and in research area C we study the Uniformization of Spherical Varieties, the Anabelian Section Conjecture, as well as Tropical Moduli Spaces.

The research areas A, B, and C are mutually interconnected and techniques of uniformization are crucial in our research approaches.

Principal investigators

  • Prof. Dr. Jan Hendrik Bruinier (Coordinator), TU Darmstadt
  • Prof. Dr. Alex Küronya, GU Frankfurt
  • Prof. Dr. Martin Möller (Co-Coordinator), GU Frankfurt
  • Jun.-Prof. Dr. Anna-Maria von Pippich, TU Darmstadt
  • Prof. Dr. Nils Scheithauer, TU Darmstadt
  • Prof. Dr. Jakob Stix, GU Frankfurt
  • Prof. Dr. Torsten Wedhorn, TU Darmstadt
  • Prof. Dr. Annette Werner, GU Frankfurt