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Structure of Local Quantum Field Theories
Prof. Dr. Dirk Kreimer

My research focuses on the structure of locally interacting quantum fields in four dimensions of spacetime. A major topic is the mathematical structure of renormalization, and the arithmetic properties 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 empirical knowledge is available in physics about these questions. The hope is that connecting it to recent developments in mathematics helps both disciplines, and answers conceptual questions about quantum field theory. This includes questions on the structure of quantum gravity as a locally interacting field theory, and the special role played by N=4 supersymmetric Yang Mills theories in the realm of such theories.


Kolleg Mathematik Physik in the Berlin area.


IRIS AdlershofSFB647GRK


Berlin Mathematical School


Editorial work for LMP, CNTP and JNCG.


Recurrent guest visitor at IHES


Postdoc position available from fall 2014:
for more information see: here or here, in german.

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