### Christoph Bergbauer

Email: bergbau@math.fu-berlin.de

#### Preprints

- Notes on Feynman Integrals and Renormalization, hep-th/1005.3960

- Renormalization and resolution of singularities (with R. Brunetti and D. Kreimer), hep-th/0908.0633

#### Publications

- New algebraic aspects of perturbative and non-perturbative Quantum Field Theory (with D. Kreimer),
in V. Sidoravicius (Ed): New Trends in Mathematical Physics: Selected contributions from the XVth Congress on Mathematical Physics, p. 45-58, Springer (2009), hep-th/0704.0232

- Locality and Dyson-Schwinger equations from Hochschild cohomology of renormalization Hopf algebras, in *Oberwolfach Rep.* **3** (2006), no. 2,
pdf

- Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology (with D. Kreimer), in L. Nyssen (ed.) "Physics and
Number Theory", 133-164, *IRMA Lect. Math.
Theo. Phys.* **10**, Eur. Math. Soc., Zuerich (2006), hep-th/0506190

- The Hopf algebra of rooted trees in Epstein-Glaser
renormalization (with D. Kreimer), *Ann. Henri Poincare* **6** (2005)
343-367, hep-th/0403207

#### Theses

- Combinatorial and geometric aspects of Feynman graphs and Feynman integrals (Dissertation, 2009)

- Epstein-Glaser renormalization, the Hopf algebra of rooted
trees and the Fulton-MacPherson compactification of configuration spaces
(Diplomarbeit, 2004)

#### Selected talks

- QMath 11 Mathematical Results in Quantum Physics, Hradec Kralove (Czechia) Sep 6-10, 2010

- EMG Annual retreat Mainz, Oct 21, 2009: Renormalization and resolution of singularities

- IHES Workshop on Quantum Fields, Periods and Polylogs II, Jun 03, 2009: Some remarks on renormalization in position space

- DESY Quantum Field Theory and Mathematical Physics Seminar, Apr 21, 2009: Renormalization and resolution of singularities

- ESI Program on Number Theory and Physics, Mar 19, 2009: Remarks on renormalization in position space

- SFB TR 45 Colloquium, University of Mainz, Nov 29, 2007: Zur Renormierung und Berechnung von Feynmangraphen im Ortsraum

- BU Mathematical Physics Seminar, Oct 25, 2007: On renormalization in coordinate space

- ESI Program on Mathematical and Physical Aspects of Perturbative Approaches to Quantum Field Theory, Mar 2007: Dyson-Schwinger equations with a view towards Epstein-Glaser renormalization

- BU Mathematical Physics Seminar, Oct 19, 2006: On the Cutkosky rules for Feynman graphs

- Georgia Tech, Atlanta, Sep 30, 2006: Hopf- and Lie algebras in perturbative renormalization, and Dyson-Schwinger equations

- ICMP 2006, Rio de Janeiro, Aug 10, 2006: Algebraic aspects of perturbative and non-perturbative Quantum Field Theory

- MFO, May 2, 2006: Locality and Dyson-Schwinger equations from Hochschild cohomology of Renormalization Hopf algebras

- UPenn Deformation
Theory Seminar, Nov 3, 2004: The Hopf algebra of rooted trees in
Epstein-Glaser renormalization

- BU
Mathematical Physics
Seminar, Oct 12,19,26, 2004: Renormalization in coordinate space

- MPI Bonn,
Workshop
on Number Theory and Noncommutative Geometry, Jun 14, 2004: The Hopf algebra
of rooted trees in Epstein-Glaser renormalization

- IHES,
Jan-Feb 2004: Series of informal talks on Epstein-Glaser renormaliization,
the Hopf algebra of rooted trees and the Fulton-MacPherson compactification of configuration spaces