Claire Amiot

[francais]
IRMA
7 rue René Descartes
67084 Strasbourg
France


Office: I 506

Tel. : +33 (0)3 68 85 01 36

Email: amiot [at] math.unistra.fr
I am Maitre de Conférence at IRMA (Institut de Recherche Mathématique Avancée) in Strasbourg.

From January 2010 to August 2010 I was a post-doc at Hausdorff Center in Bonn (Germany).

From September 2008 to December 2009, I was post-doc at Institutt for matematiske fag NTNU in Trondheim (Norway) within the HoGeMetAlg project.

I did my Ph.D. Sur les petites catégories triangulées (On small triangulated categories, mostly written in english) at Paris 7 University, under the supervision of Professor Bernhard Keller.
Research interests

  • Representation theory of finite dimensional algebras

  • Homological algebra, derived categories, triangulated categories

  • Cluster algebras and cluster categories.

Preprints

  • (with O. Iyama et I. Reiten ) Stable categories of Cohen-Macaulay modules and cluster categories (2011) (Version arXiv).

  • (with S. Oppermann) Algebras of tame acyclic cluster type (2010) (Version arXiv).

  • (with S. Oppermann) Cluster equivalence and graded derived equivalence, (2010) (Version arXiv).

  • Publications

  • (with S. Oppermann) The image of the derived category in the cluster category , Int. Math. Res. Not. (2012); (Version arXiv).

  • (with O. Iyama, I. Reiten and G. Todorov) Preprojective algebras and c-sortable words , Proc. of the Lond. Math. Soc. (2011) (Version arXiv).

  • On generalized cluster categories, ICRA XIV Proceedings, Eur. Math. Soc. (2011) (Version arXiv), survey article.

  • A derived equivalence between cluster equivalent algebras, Journal of Algebra (2011) (Version arXiv).

  • (with I. Reiten and G. Todorov) The ubiquity of generalized cluster categories, Adv. in Math. (2011) (Version arXiv).

  • Cluster categories for algebras of global dimension 2 and quivers with potential, Ann. Inst. Fourier. (2009) (Version arXiv).

  • On the structure of triangulated category with finitely many indecomposables, Bull. Soc. Math. France. (2007) (Version arXiv).