Publicaçoes e preprints
Livro
"Towards the mathematics of quantum field theory",
Ergebnisse der Mathematik und ihrer Grenzgebiete, Volume 59, Springer
(2014).
Springer, Amazon.
Preprints
"Berkovich-Gelfand duality in constructive mathematics",
work in progress
(2023).
pdf.
"Berkovich analytic geometry and dynamical systems",
preprint
(2022).
pdf.
"Banach halos and short isometries",
preprint in collaboration with Tomoki Mihara
(2022).
pdf.
"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.
Publicaçoes
"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",
por 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.
Publicação na conferência
"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.
Otra publicaçoes
"De la géométrie arithmétique aux mathématiques la théorie quantique des champs",
Université Pierre et Marie Curie
(2012).
Mémoire d'habilitation.
Doutorado:
"Représentations galoisiennes, groupe de Mumford-Tate et
bonne réduction des variétés abéliennes",
Université de Rennes 1
(2002).
These.