I was originally trained as a mathematical physicist specializing in general relativity. Over the years I have developped a broad interest in several topics in analysis, geometry and mathematical physics, as well as in mathematics education. My current research interests include but are not confined to the following list:

**Mathematical General Relativity**- semi-Riemannian geometry in low regularity
- singularity theorems and cosmic censorship
- exact solutions: impulsive gravitational waves

**Algebras of Generalized Functions and Applications**- geometric theory of nonlinear generalized functions
- applications in general relativity
- applications in PDE, in particular regularity theory
- structure theory of algebras of generalized functions
**Mathematics education**- professional knowledge of teachers
- beliefs on teaching and learning mathematics
- didactic of analysis
**Nonlinear PDE/Kinetic Theory****Time frequency analysis/Modulation spaces**

Much of my research was carried out in collaboration with the international research group DiANA (which is an acronym for "Differential Algebras and Nonlinear Analysis") based at the Universities of Vienna and Innsbruck in Austria, the University of Ghent in Belgium, as well as at the University of Southampton and the University of Loughborough in the UK.

For more details on my research you can have a look at

- a brief desription of my (mathematical) research topics
- my list of publications and preprints
- my list of talks, and
- a list of research projects I have contributed to.