- 1992 Diplom (Bonn) under the guidance of Prof. Friedrich Hirzebruch, title of the diploma thesis: Fast komplexe Strukturen auf Mannigfaltigkeiten (Almost complex structures on manifolds)
- 1996 Ph.D. (Mainz) under the guidance of Prof. Matthias Kreck, title of the dissertation: Rigidity theorems for Spin^c-manifolds and applications
- 09-12.1996: University of Bielefeld
- 01-03.1997: University of Cambridge
- 2002 Habilitation (Augsburg), title of the habilitation: Elliptic genera, positive curvature and symmetry
- 2002-2003: Visiting Professor at the University of Pennsylvania
- 2004-2006: Professor at the University of Münster (permanent C3)
- since fall 2006: Full Professor at the University of Fribourg
- academic years 2009-2010, 2013-2014 and 2020-2021: President of the Department of Mathematics, University of Fribourg
- 2012-2013: Secretary of the Swiss Mathematical Society (SMS)
- 2014-2015: Vice President of the Swiss Mathematical Society (SMS)
- 2016-2017: President of the Swiss Mathematical Society (SMS)
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