I study algebraic topology and more precisely classical homotopy theory and
its algebraic version, called A¹- homotopy theory.
Some
of the keywords associated to my research: configuration spaces, loop
spaces, operads, space of rational functions, Atiyah-Hitchin schemes, A¹-
homotopy theory, resultants.
Position
Since September 2010, I am a "maître de conférences" at the laboratoire Jean Dieudonné, in Nice.
Before that, I was a postdoc in the topology
group of the mathematical institute of Bonn. My mentors there were Carl-Friedrich Bödigheimer
and Jens
Hornbostel.
Seminar
In collaboration with Ann
Lemahieu, I organise the weekly seminar of the Algebra, Geometry and
Topology group. The program is here.
Reading group
In 2010-2011, I organised a reading
goup with the other topologists on the J-homomorphism.
In 2011-2012, Bruno
Vallette organised the reading group. The subject focused on Drinfeld associators, multizêta values, and
Grothendieck-Teichmüller groups.
In 2012-2013, Frédéric Patras organised the reading group on Algebraic
structures in characteristic p.
In 2013-2014, Bruno Vallette organised the reading group: Higher
algebra
In 2014-2015, together with Bruno Vallette, we organised the
reading group : Factorisation
algebras
Thesis
Thesis I got my PhD from the laboratoire
d'analyse géométrie et applications at University Paris
XIII in France. My advisor was Jean Lannes.
The title of my PhD thesis is "Théorie
homotopique des schémas d'Atiyah et Hitchin". [Abstract] [Full-text]
Publications
- Classes d'homotopie de fractions
rationnelles [Homotopy classes of rational functions], C. R.,
Math., Acad. Sci. Paris 346 (2008) , no. 3-4, p.129-133.
- Algebraic
homotopy classes of rational functions. Annales scientifiques de
l'ENS 45, fascicule 4 (2012), 511-534
- An appendix to the article of Benson Farb & Jesse Wolfson, Topology and arithmetic of resultants,
II: the resultant = 1 hypersurface. Algebraic
Geometry, vol. 4, no. 1, 2017, pp. 337-352.
(ArXiv: 1507.01283)
Preprints
- The A¹-homotopy
type of Atiyah-Hitchin schemes I: the homotopy type of the space
of complex points. Preprint, 42 pages.
- The A¹-homotopy
type of Atiyah-Hitchin schemes II: the stable homotopy type. To be released.
