Personal Homepage of Quentin Ehret

Post-doc in Mathematics

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 (November 2024).

My page on ResearchGate.

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

The paper Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4 with S. Bouarroudj has been published online in Journal of Algebra and Its Applications (10.1142/S0219498826500659).

The paper Double extensions of quasi-Frobenius Lie superalgebras with degenerate center with S. Bouarroudj has been published online in Communications in Algebra (10.1080/00927872.2024.2421408).

In February 2024, I obtained my French national scientific qualification as associate professor ("Qualification aux fonctions de Maître de Conférences", Section 25)

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.

    • 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.