Dirk Kreimer

Dirk Kreimer ( born July 12, 1960) is a German mathematical physicist.

Life

Kreimer received his doctorate in 1992 at the Johannes Gutenberg University Mainz ( Dimensional regularization in the standard model ). He is a researcher at the Institut des Hautes Études Scientifiques ( IHES ) in Paris and professor at Boston University. In 2010 he was appointed to an Alexander von Humboldt Professorship at the planned Interdisciplinary Centre for Mathematical Physics, Humboldt University of Berlin ( Adlershof ).

Kreimer became known in the 1990s for his work on Hopf algebra structures in the renormalization of quantum field theories, partly in collaboration with Alain Connes. The work order are also part of the theory building of non-commutative geometry of Connes.

He also examined the application of other mathematical concepts such as knot theory, mixed Hodge structures (Mixed Hodge Structures ), polylogarithms in the perturbation theory renormierbarer quantum field theories. Kreimer said also to have (in contrast to conventional wisdom ) found evidence for the renormalizability of quantum gravity (2008).

Writings

• Knots and Feynman Diagrams. Cambridge University Press, 2000
• Factorization in Quantum Field Theory: an exercise in Hopf algebras and local singularities, in Pierre Cartier, among others Frontiers in Number Theory, Physics and Geometry, Volume 2, Springer Verlag 2007