My research focuses on the structure of locally interacting quantum fields
in four dimensions of spacetime. A major topic is thus the mathematical structure of renormalization, and the nature of the periods
which appear in the computation of renormalization group functions, as well as the analytic structure of
renormalized amplitudes. An enormous amount of knowledge is available in physics about these questions.
The hope is that connecting it to recent developments in mathematics helps both disciplines.
The structure of quantum gravity as a locally interacting field theory, and the interpretation
of the AdS/CFT correspondence are also questions to struggle with.
Current: Esnault-Kreimer seminar
April 25: Kreimer, May 16: Brown, May 23: Schnetz,...