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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 (February 2025).

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

February 2025: the Conference Lie Theory and Related Topics that I organized with S. Bouarroudj and V. Futorny took place in New York University from 3rd to 7th February 2025 (website).

January 2025: the new preprint Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2 with S. Benayadi and S. Bouarroudj is on arXiv (link).

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.