Claire Amiot
100 rue des maths
38610 Gières
France
Bureau: 230
Tel. : +33 4 76 63 58 53
Email: claire.amiot [at] univ-grenoble-alpes.fr
I am Junior member of the Institut Universitaire de France from september 2021.
I defended my Habilitation (Habilitation à Diriger des Recherches) in June 2021. Here is the manuscript.
I am member of the ANR project CHARMS from december 2019.
From september 2018 to August 2019, I was in sabbatical in Quebec UMI, Sherbrooke University.
From September 2010 to August 2012, I was 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.
You can find here a cv (in french).
Representation theory of finite dimensional algebras
Homological algebra, derived categories, triangulated categories
Cluster algebras and cluster categories.
Indecomposable objects in the derived category of skew-gentle algebra using orbifold, to appear in the Proceedings of the ICRA 2020.
(avec Thomas Brüstle ) Derived equivalences between skew-gentle algebras using orbifolds (Version arxiv)
(with Pierre-Guy Plamondon and Sibylle Schroll ) A complete derived invariant for gentle algebras via winding numbers and Arf invariants (Version arxiv)
(with Pierre-Guy Plamondon)The cluster category of a surface with punctures via group actions (Version arxiv)to appear in Advances in Mathematics
(with Daniel Labardini Fragoso and Pierre-Guy Plamondon) Derived invariants for surface cut algebras II: the punctured case, Communications in Algebra, 49:1, (2021) 114-150 (Version arxiv)
The derived category of surface algebras: the case of the torus with one boundary component (2015) Algebras and Representation Theory (2016) (Version arXiv).
(with Y. Grimeland) Derived invariants for surface algebras Journal of Pure and Applied Algebra 220 (2016) pp. 3133-3155. (Version arXiv).
(with S. Oppermann) Higher preprojective algebras and stably Calabi-Yau properties, (2015) Mathematical Research Letters (MRL) Vol. 21.4. (Version arXiv).
(with O. Iyama et I. Reiten ) Stable categories of Cohen-Macaulay modules and cluster categories , Amercian Journal of Math. 137 (2015), no 3, 813-857 (Version arXiv).
Preprojective Algebras and Calabi-Yau duality (on joint works with O. Iyama, S. Oppermann and I. Reiten), Oberwolfach report 08/2014, 459-463. (Version arXiv).
(with S. Oppermann) Cluster equivalence and graded derived equivalence,Documenta Math. 19 (2014) 1155--1206 (Version arXiv).
Singularity categories, Preprojective algebras and orthogonal decompositions, Algebras, quivers and representations, 1-11, Abel Symp., 8, Springer, Heidelberg, 2013. (Version arXiv).
(with S. Oppermann)
(with S. Oppermann) The image of the derived category in the cluster category, International Mathematical Research Notices, Volume 2013, Issue 4, pages 733-760 (Version arXiv).
A derived equivalence between cluster equivalent algebras, Journal of Algebra, Volume 351, Issue 1, (2012), pages 107-129 (Version arXiv).
(with O. Iyama, I. Reiten and G. Todorov) Preprojective algebras and c-sortable words, Proceedings of the London Mathematical Society, Volume 104 (3) (2012), (Version arXiv).
On generalized cluster categories, survey at Series of Congress Reports, Eur. Math. Soc. Representations of Algebras and Related Topics (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).
Short course à Winterbraids VIII, Cluster algebras and categorification.
Raconte moi un carquois, Gazette des mathématiciens, january 2018.
Appendix in the article Extensions in Jacobian Algebras and Cluster categories of marked surfaces , Advances in Mathematics, 313 (2017) 1-49.