WELCOME TO MY HOMEPAGE

HALLO, HOLA, HEI, HI! AS OF OCTOBER 2023 I HAVE LEFT ACADEMIA. BYE, BYE :)

MY FIELD OF RESEARCH WAS MATHEMATICAL PHYSICS. I WORKED 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.

PS: CHECK OUT MY DAD'S ART (LINK BELOW). IT'S AWESOME!

RESEARCH INTERESTS

MATHEMATICAL PHYSICS. COMBINATORICS, GEOMETRY AND TOPOLOGY, ESPECIALLY THE INTERPLAY BETWEEN THESE DISCIPLINES AND THEIR APPLICATIONS IN PHYSICS. TROPICAL GEOMETRY AND DISCRETE MATHEMATICS.

PUBLICATIONS

GRAPH COMPLEXES FROM
THE GEOMETRIC VIEWPOINT
preprint

INTRODUCTION
TO
GRAPH COMPLEXES
Lecture notes

HIERARCHIES IN RELATIVE
PICARD-LEFSCHETZ THEORY
(w/ E. Panzer)
preprint

SCHWINGER, LTD.
LOOP-TREE DUALITY IN THE PARAMETRIC
REPRESENTATION
JHEP

AN ALGEBRA OVER THE OPERAD OF POSETS AND
STRUCTURAL BINOMIAL IDENTITIES
(w/ Arciniega-Nevarez & Dolores-Cuenca)
Bol. Soc. Mat. Mex.

Graph complexes and
Feynman rules (w/ D. Kreimer)
Comm. Num. Theor. Phys.

On the homology of
independence complexes
Combinatorial Theory

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
Preprint

TEACHING

Analysis II
(SS 23)

Graph complexes
(SS 23)


LINKS