LOEWE research unit USAG

Uniformized Structures in Arithmetic and Geometry

TU Darmstadt and GU Frankfurt

The new 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

Contact: Office

Room: S2|15 428

Anja Spangenberg
 +49 6151 / 16-22466

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