Publications and preprints

Book

"Towards the mathematics of quantum field theory",  Ergebnisse der Mathematik und ihrer Grenzgebiete, Volume 59, Springer (2014). Springer, Amazon.

Preprints

"A note on the nonlinear derived Cauchy problem",  preprint (2020). pdf.
"Spectral analytic geometry (a short note)",  preprint in collaboration with Tomoki Mihara (2020). pdf.
"Overconvergent global analytic geometry",  preprint (2014). arXiv.

Publications in journals with reading committee

"Analytic spectrum of rig categories",  Theory and Application of Categories  29 (2014). TAC.
"Homotopical poisson reduction of gauge theories",  Proc. Symp. Pure Math.  83 (2011). ''Mathematical Foundations of Quantum Field and Perturbative String Theory''. arXiv:1106.4955.
"Histories and observables in covariant field theory",  Journal of Geometry and Physics  61 (2011). arXiv:1010.3210.
"Global analytic geometry",  Journal of Number Theory  129 (2009). arXiv:0803.0148.
"Symétries spectrales des fonctions zêtas",  Journal de Théorie des Nombres de Bordeaux  21 (2009). arXiv:0803.0199.
"Bost-Connes-Marcolli systems for Shimura varieties",  by E. Ha, F. Paugam,  International Mathematics Research Papers  5 (2005). ArXiv:math.OA/0507101.
"Galois representations, Mumford-Tate groups and good reduction of abelian varieties",  Math. Ann.  329 (2004). arXiv:math.NT/0302117.

Publications in conferences

"Categorical methods in quantum field theory",  proceedings of the conference "Quantum Mathematical Physics, a bridge between Mathematics and Physics", F. Finster, J. Kleiner, C. Roeken, J. Tolksdorf Ed. (2016). Springer.
"Three examples of noncommutative boundaries of Shimura varieties",  proceedings of the conference "Noncommutative Geometry and Number Theory", Bonn, organised by K.Consani, Y. Manin and M.Marcolli (2004). arXiv:math.AG/0410254.
"Quelques bords irrationnels de variétés de Shimura",  Mathematisches Institut, Seminars, Universitaetsverlag Goettingen, Y.Tschinkel Ed. (2004). arXiv:math.AG/0410269.

Other publications

Habilitation thesis:  "De la géométrie arithmétique aux mathématiques la théorie quantique des champs",  Université Pierre et Marie Curie (2012). Mémoire d'habilitation.
Phd thesis:  "Représentations galoisiennes, groupe de Mumford-Tate et bonne réduction des variétés abéliennes",  Université de Rennes 1 (2002). These.

Unpublished preprints

"Monodromie motivique pour les 1-motifs",  Regensburg (2003). ps.gz, pdf.