CIRGET
Université du Québec à Montréal
Case postale 8888, Succursale centre-ville
Montréal (Québec)
H3C 3P8 Canada

office 5540
tel. : (+01) 514-987-3000 x8781
email :

one hasn't understood anything until one can explain

homotopical algebraic geometry

groupe de travail sur les catégories dérivées

lectures on stacks


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I'm a postdoctoral fellow in mathematics at the CIRGET (Montréal, QC).

Before I was a postdoctoral fellow at the Centre de Recerca Matematica (CRM) (Barcelona, Spain) for the program Homotopy Theory and Higher Categories. Before i was at the University of Western Ontario (London, Ontario) and at the Fields Institute (Toronto) for the program on Geometric Applications of Homotopy Theory.

I'm a former student of Bertrand Toën. My PhD thesis dealt with the problem of moduli of linear and abelian categories. The main result was the existence of geometric 2-stacks classifying these objects and having the Hochschild cohomology complexes as their tangent complexes.

Current interests :

  • Spectra in relative algebraic geometry and application to the geometry of monoids with Michel Vaquié
  • coalgebras and Koszul duality

 

 


 

Articles and documents

- Slides on the bar and cobar duality (extended version of the talk given by A. Joyal on our joint work at the AMS meeting of january 2012)

- Why deformations are cohomological (lecture notes, very heuristic)

- Introduction to triangulated categories (lecture notes in french, i was lazy)

- Grothendieck topologies from factorisation systems (preprint version, comments and remarks welcome)

- with Bertrand Toën about the countability of derived equivalence classes (in french): arxiv:math.AG/0611545
published in the Journal of Algebraic Geometry

- My PhD thesis (in french): Moduli stacks for linear and abelian categories

 


 

Links

- 2006 master-2 course of Bertrand Toën on algebraic stacks
- the web site of ENS video-conferences
- the mathematical genealogy project
- Magic 8 ball
- The Wire

 


 

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