### Research

As a mathematical physicist, I work on conceptual and mathematical problems in quantum field theory. I am particularly interested in new approaches to the problem of rigorously constructing quantum field theory models. A novel line of research addresses this question via operator-algebraic deformations of quantum field theories, a topic also connected to non-commutative geometry and quantum field theory on non-commutative spaces. A further interest are integrable models in quantum field theory.

Steve Summers has written a nice overview over the 2009 status of “constructive algebraic quantum field theory” here. A more recent review (March 2015) by myself can be found here.

For more details about my research, you can have a look at my publications and talks:

**Current teaching (autumn 2015):**

Knots (An introduction to knot theory)