My main research focus in mathematics is on applications of topological and differential geometric methods in algebraic geometry, number theory, quantum field theory and other areas of science. Recently, I got interested in topological data analysis and other topological methods related to graph resp. network theory and in new homotopy theoretic methods in type theory and (infinity) category theory. Such methods can potentially create useful invariants for large data sets and other features of phenomena in the natural and life sciences.

Positions held

Since 2017 
Vice president Research and Early Career Academics

Since 2003 
Professor for Number Theory JGU

2002-2003 
Full Professor McMaster University in Hamilton, Kanada

1998-2002 
Heisenbergscholarship Deutsche Forschungsgemeinschaft