I am a post-doctoral researcher in mathematics at New York University Abu Dhabi under the supervision of Pr. Sofiane Bouarroudj.
Before that, I was a PhD student in mathematics of the Université de Haute-Alsace under the supervision of Pr. Abdenacer Makhlouf.
Address: Division of Science and Mathematics, New York University Abu Dhabi, P.O. Box 129188, Abu Dhabi, United Arab Emirates (here).E-mail: qe209[at]nyu[dot]edu
CV (September 2025).
My ORCID number is 0009-0004-2629-4518.
I speak French (mother tongue), English (professional and colloquial) and German (intermediate). I also have (very) basic notions of Arabic.
News
November 2025: the preprint The Superization of Hochschild's Lemma and Restricted Lie-Rinehart Superalgebras with S. Bouarroudj, A. Makhlouf and N. Shyntas is on arXiv (link).
September 2025: the paper Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2 with S. Benayadi and S. Bouarroudj (arXiv) has been accepted for publication in Journal of Pure and Applied Algebra (0.1016/j.jpaa.2025.108086).
July 2025: the paper An alternative approach to deformations of restricted Lie-Rinehart algebras (arXiv) has been accepted for publication in Communications in Algebra. (10.1080/00927872.2025.2527218)
April 2025: the new preprint Jacobson identities for post-Lie algebras in positive characteristic with N. Gilliers is on arXiv (link).
April 2025: the new preprint Cohomology of restricted Poisson algebras in characteristic 2 with S. Bouarroudj and J. Liu is on arXiv (link).
April 2025: I have finally uploaded the new version of the map of the French Math departments and institutes.
Scientific interests
My scientific interests lie mainly in the domain of non-associative algebras, with a focus on restricted Lie algebras and Lie superalgebras over fields of positive characteristic.
During my post-doc, we are interested in the following topics:
- Restricted cohomology of restricted Lie superalgebras;
- Classification problem of restricted nilpotent Lie superalgebras of small dimension;
- Double extensions of Lie superalgebras in various settings;
- Connections on Lie superalgebras in characteristic 2 and Lagrangian extensions;
- Restricted Poisson and Lie-Rinehart algebras in characteristic 2;
- Representation theory of simple Lie superalgebras in characteristic 2;
- Post-Lie algebras in positive characteristic;
- Restricted Lie-Rinehart superalgebras in positive characteristics.
During my thesis (manuscript in French), I was interested in the following topics:
- Deformation theory of Lie-Rinehart superalgebras over characteristic zero fields;
- Computer-aided classification of Lie-Rinehart superalgebras over the complex field;
- Restricted cohomology of restricted Lie algebras over positive characteristic fields;
- Restricted formal deformations of restricted Lie-Rinehart algebras over positive characteristic fields;
- Representations of restricted Lie-Rinehart algebras;
- Double extensions of quasi-Frobenius restricted Lie superalgebras.
