WELCOME TO MY HOMEPAGE

HALLO, HOLA, HEI, HI! I'M A POSTDOC IN DIRK KREIMER'S GROUP AT HUMBOLDT-UNIVERSITÄT ZU BERLIN.
CURRENTLY, I'M ON LEAVE FOR A ONE YEAR RESEARCH STAY AT THE UNIVERSITY OF OXFORD.

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. TROPICAL GEOMETRY AND DISCRETE MATHEMATICS.
SINGULARITY AND CHAOS THEORY.

PUBLICATIONS

Graph complexes and
Feynman rules (w/ D. Kreimer)

preprint

On the homology of
independence complexes

preprint

Singularity
theory

Lecture notes

Complexes of marked graphs
in gauge theory (w/ A. Knispel)

Letters in mathematical physics

MODULI SPACES OF
COLORED GRAPHS (w/ M. MÜHLBAUER)

Topology and its applications

FEYNMAN AMPLITUDES ON
MODULI SPACES OF GRAPHS

ANN. INST. HENRI POINCARÉ D

Parametric
Integrals

Lecture notes

WONDERFUL COMPACTIFICATIONS
IN QUANTUM FIELD THEORY

COMM. NUM. THEOR. PHYS.

WONDERFUL
RENORMALIZATION

MY PHD THESIS

S^1-EQUIVARIANT
MORSE COHOMOLOGY

MY DIPLOMA THESIS

TEACHING

Singularity
theory

(SS 20)

Tropical
geometry

(SS 20)


LINKS