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