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. 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
**Nonlinear PDE/Kinetic Theory****Time frequency analysis/Modulation spaces**

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

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

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