Theses
PhD thesis (2010)
My PhD thesis focusses on the combinatorial structure of the renormalization group. It derives a forest formula for Epstein Glaser Renormalization and establishes a connection between
Perturbative Algebraic Quantum Field Theory and the Hopf algebraic approach to renormalization by Connes and Kreimer.
The thesis was supervised by Prof. Dr. Klaus Fredenhagen.
You can download a copy of my thesis and the slides of my thesis defense.
Diploma thesis (2006)
In my diploma thesis I studied the role of projective geometry in quantum mechanics. In particular in the first part of the work, which is dedicated to the study of the realization of symmetries,
I present a simple, geometric proof of Wigner's theorem. In the second part the basic geometrical setup for the spin statistics connection in non relativistic quantum mechanics is discussed.
Unfortunately there is only a German version of my diploma thesis available.
Nevertheless the geometric proof of Wigner's theorem is also discussed in a publication.