Our research program focusses on the following three areas:
- Special Subvarieties
- Automorphic Forms
- 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.