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 (HERE) - 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

Operad of posets 101:
The Wixarika posets
preprint (w/ Arciniega-Nevarez & Dolores-Cuenca)

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