Research

lechnerg125

As a mathematical physicist, I work on conceptual and mathematical problems arising 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 and related structures, such as the Yang-Baxter equation, braid group representations and link invariants.

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:

Publications

Talks

 


 

Recent teaching

Winter 2016: Mathematical Foundations of Quantum Physics

250px-TrefoilMirrorWinter 2015: Knots (An introduction to knot theory)