Publications

On algebraic methods in quantum field theory

• Loop of formal diffeomorphisms and Faà di Bruno coloop bialgebra (with Ivan P. Shestakov),
  Adv. Math. 351 (2019) 495-569. https://doi.org/10.1016/j.aim.2019.04.053. Preprint 2018 arXiv:1807.10477 or hal-01849454.
• Noncommutative version of Borcherds' approach to quantum field theory (with C. Brouder and V.-N. Dang),
  PoS - Proceedings of Science, SISSA, 2015. Frontiers of Fundamental Physics 14 (FFP14) 224 (2016) n.134. hal-01222770.
• Five interpretations of Faà di Bruno's formula (with D. Manchon),
  Proceeding of the conference Dyson-Schwinger Equations and Faà di Bruno Hopf Algebras in Physics and Combinatorics -- DSFdB2011 (IRMA Strasbourg, 27 juin - 1er juillet 2011), IRMA Lectures in Mathematics and Theoretical Physics Vol. 21, European Mathematical Society, 2015. arXiv:1402.5551 or hal-00950525.
• Combinatorial Hopf algebras from renormalization (with C. Brouder and F. Menous),
  Journal of Algebraic Combinatorics 32 (2010) 557-578.
  Preprint arXiv:0909.3362 or hal-00417946.
• From quantum electrodynamics to posets of planar binary trees (with F. Chapoton),
  Proceeding of the Conference on Combinatorics and Physics March 19-23, 2007, Max Planck Institut for Mathematics, Bonn. arXiv:0811.4712.
• Renormalization Hopf algebras and combinatorial groups,
  Proceeding of the summer school Geometric and Topological Methods for Quantum Field Theory (Villa de Leyva, Colombia, 2--20 juillet 2007), Cambridge University Press 2010. arXiv:0805.4385 or hal-00949093.
• Groups of tree-expanded formal series,
  Journal of Algebra 319 (2008) 377-413. JoA pdf version, math.GR/0703263.
• Noncommutative Hopf algebra of formal diffeomorphisms (with Ch. Brouder and Ch. Krattenthaler),
  Advances in Mathematics 200 Issue 2 (2006) 479-524. math.QA/0406117.
• Quantum field theory and Hopf algebra cohomology (with Ch. Brouder, B. Fauser, R. Oeckl),
  Journal of Physics A 37 Issue 22 (2004) 5895 - 5927. hep-th/0311253.
• QED Hopf algebras on planar binary trees (with Ch. Brouder),
  Journal of Algebra 267 (2003) 298-322. math.QA/0112043
• Groupes de séries et renormalisation de champs quantiques,
  Actes du Colloque Femmes en Physique Mathématique, Nantes, 9 novembre 2001.
  Revue "Femmes et Mathématiques" n.7 (2003). femmes.pdf
• Noncommutative renormalization for massless QED (with Ch. Brouder), hep-th/0011161
  This work will remain a preprint forever. But that's ok, its main results are published in the papers of 2001, 2003 and 2006 ;-)
• Renormalization of QED with trees (with Ch. Brouder),
  European Physical Journal C 19 (2001) 715-741. hep-th/0003202
• Trees and renormalization of QED,
  Proceedings of IV Rencontres mathematiques de Glanon (2000). glanonIV.ps

On Leibniz algebras and dialgebras

• On Leibniz cohomology of vector fields (with F. Wagemann),
  Annals of Global Analysis and Geometry 21 (2002) 177-190. math.KT/0005126
• Dialgebra (co)homology with coefficients,
  in Dialgebras and related Operads, Springer Lect. N. Math. 1763 (2001). abstract, article.ps
• Simplicial properties of the set of planar binary trees,
  Journal of Algebraic Combinatorics 13 issue 1 (2001) 41-65. abstract, article.ps
• Leibniz algebras and dialgebras,
  Proceedings of the Young Algebra Seminar, at Universita' di Roma II - Tor Vergata, (1999). abstract, article.ps
• Leibniz homology, relationship with Poisson manifolds, Gelfand-Fuchs cohomology and dialgebras,
  Proceedings of II Rencontres mathematiques de Glanon (1998). abstract, glanonII.ps
• Leibniz homology of dialgebras of matrices,
  Journal of Pure and Applied Algebra 129 (1998) 123-141. abstract, article.ps
• (Co)omologia delle dialgebre (in italian),
  Bollettino U.M.I. 8 - 1A, Suppl. (1998), 35-38. Extract of my Ph.D. thesis: introduction (in italian), thesis.ps, extract.ps.
• Dialgebra homology of associative algebras,
  Notes du C. R. Acad. Sci. Paris 325 (1997) 135-140. abstract, article.ps
• Homologie des digèbres (in french),
  Proceedings - CNRS GDR 1110 - Topologie Algébrique, (1996). article.ps

Others

• With Sylvie Paycha, I am editor of the Special Issue dedicated to the proceedings of the conference ``Physics and Mathematics'' held at IHES, november 2005, Lett. Math. Phys. 78 vol.3 (2006).
• I wrote the notes for the lectures From index theory to non commutative geometry, given by N. Teleman at Les Houches summer school of theoretical physics 1995 and published in the Proceedings, (1998) 787-844.