Personal Homepage of Quentin Ehret

I no longer hold an university position. On that page, you can find information about my research, teaching, and outreach activities from 2020 to 2026.

I was 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 at Université de Haute-Alsace (Mulhouse) under the supervision of Pr. Abdenacer Makhlouf.

CV (August 2026).

ResearchGate, Scopus, Mathscinet, Google Scholar

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.

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.