Mathieu Mansuy - Research
Publications
- Représentations l-extrémales des algèbres toroïdales quantiques, Ph-D thesis University Paris VII (2013)
Version pdf, Appendix C and Appendix D
- Classification of linearly compact simple Nambu-Poisson algebras , in collaboration with Nicoletta Cantarini and Victor G. Kac
Journal of Mathematical Physics 57, 051701, 2016
Preprint arXiv : 1511.04957
- Quantum extremal loop weight modules for $U_q(\hat{sl}_\infty)$
Algebras and Representation Theory, Vol. 18 No. 6, 2015
Preprint arXiv : 1309.4298
- Extremal loop weight modules and tensor products for quantum toroidal algebras
Communications in Algebra, Vol.46, No. 4, 2018
Preprint arXiv : 1305.3481
- Quantum extremal loop weight modules and monomial crystals
Pacific Journal of Mathematics, Vol. 267, No. 1, 2014
Preprint arXiv : 1207.3299
Description of the monomial crystal $\mathcal{M}(Y_{1,1}Y_{1,-1}Y_{0,2}^{-1}Y_{0,0}^{-1})$
Past Academic Positions
- Post-doctoral researcher, University of Bologna, Italy - from September 2014 to August 2015.
- Teaching assistant, University of Reims, France - from September 2013 to August 2014.
- PhD in Mathematics, University Paris Diderot Paris 7, France - from September 2010 to August 2013.
- Visiting position at Scuala Normale Superiore di Pisa, for the intensive research period "Perspectives in Lie Theory", December 2014 and January 2015, Italy.
- Visiting position at Centre de Mathématiques de Montréal, for the thematic semester "New directions in Lie Theory", April 2014, Canada.
- Visiting position at the University of California, Riverside, with Vyjayanthi Chari, january 2014, USA.
Recent talks
- Classification des algèbres de Nambu-Poisson, séminaire Jeunes Chercheurs, mars 2015, Reims, France (Résumé et notes de l'exposé).
- Représentations des algèbres toroïdales quantiques, séminaire d'Algèbre et de Théorie des Nombres, june 2015, Besancon, France.
- From friezes to cluster algebras, Ba.D seminar, may 2015, Bologne, Italie.
- Représentations extrémales des algèbres toroïdales quantiques et cristaux monomiaux, Séminaire quantique, mars 2015, Strasbourg.
- Representations of quantum toroidal algebras, conference ''A Super Quantum Lie Day'', february 2015, Scuala Normale Superiore di Pisa, Italy (Poster).
- Représentations des algèbres toroïdales quantiques, séminaire Mathématique Physique, janvier 2015, Dijon.
- Progressions arithmétiques et nombres premiers, séminaire Jeunes Chercheurs, november 2014, Reims (Notes de l'exposé).
- Quantum groups at roots of unity: Proof of the De Concini - Kac - Procesi conjecture, following the article of A. Sevostyanov, workshop of the algebra research group, october and november 2014, Bologna, Italy.
- Representations of quantum toroidal algebras, Oberseminar Algebra, july 2014, Koeln, Germany.
- Canonical bases of Quantum Groups, European Network in Representation Theory, june 2014, Cargèse.
- Représentations des algèbres toroïdales quantiques, séminaire de théorie des groupes, mai 2014, Amiens.
List of my talks
Other documents
- Généralisations de l'algèbre de Hopf des fonctions symétriques et applications, mémoire de Master 2 sous la direction de Marc Rosso, juin 2010, Paris (pdf).