MARKO BERGHOFF
WELCOME TO MY HOMEPAGE
HALLO, HOLA, HEI, HI! I'M A POSTDOC IN DIRK KREIMER'S GROUP AT HUMBOLDT-UNIVERSITÄT ZU BERLIN.
MY FIELD OF RESEARCH IS MATHEMATICAL PHYSICS.
I WORK ON MATHEMATICAL PROBLEMS COMING FROM PERTURBATIVE QUANTUM FIELD THEORY, IN PARTICULAR
RENORMALIZATION
, THE ANALYTIC STRUCTURE OF FEYNMAN INTEGRALS AND THE ROLE OF MODULI SPACES
AND GRAPH COMPLEXES IN THIS SETTING.
RESEARCH INTERESTS
MATHEMATICAL PHYSICS. COMBINATORICS, GEOMETRY AND TOPOLOGY, ESPECIALLY THE INTERPLAY BETWEEN THESE DISCIPLINES AND THEIR APPLICATIONS IN PHYSICS. DISCRETE MATHEMATICS. COMPLEX GEOMETRY. DYNAMICAL SYSTEMS, SINGULARITY AND CHAOS THEORY.
PUBLICATIONS
Complexes of marked graphs
in gauge theory (w/ A. Knispel)
preprint
MODULI SPACES OF
COLORED GRAPHS (w/ M. MÜHLBAUER)
Topology and its applications
FEYNMAN AMPLITUDES
ON MODULI SPACES OF GRAPHS
ANN. INST. HENRI POINCARÉ D
WONDERFUL COMPACTIFICATIONS
IN QUANTUM FIELD THEORY
COMM. NUM. THEOR. PHYS.
WONDERFUL
RENORMALIZATION
MY PHD THESIS
S^1-EQUIVARIANT
MORSE COHOMOLOGY
MY DIPLOMA THESIS
TEACHING