The professional webpage of Mathieu Anel

Presentation

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

I was last year 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
etales classes of maps
Pi₁ theory of toposes

Articles and documents

- 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

Friendly professionnal pages

Georg Biedermann
Damien Calaque
Guy Casale
Nicola Gambino
Yohann Genzmer

Julien Keller
Laurent Mazet
Grégoire Montcouquiol
Emmanuel Opshtein

Nicolas Puignau
Guillaume Rond
Bertrand Toën
Michel Vaquié
Grégoire Winterstein