Preprints

• (9) Q. Ehret, N. Gilliers, Jacobson identities for post-Lie algebras in positive characteristic, preprint, April 2025 (arXiv).
• (8) S. Bouarroudj, Q. Ehret, J. Liu, Cohomology of restricted Poisson algebras in characteristic 2, preprint, April 2025 (arXiv).

Journal papers

• (7) S. Benayadi, S. Bouarroudj, Q. Ehret, Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2, preprint, January 2025 (arXiv), to appear in Journal of Pure and Applied Algebra (0.1016/j.jpaa.2025.108086).
• (6) Q. Ehret, An alternative approach to deformations of restricted Lie-Rinehart algebras, preprint, April 2025 (arXiv), to appear in Communications in Algebra (10.1080/00927872.2025.2527218).
• (5) Q. Ehret, A. Makhlouf, Cohomology and deformations of restricted Lie algebras and their morphisms in positive characteristic , Advances in Pure and Applied Mathematics 2025, vol. 16, n° 3, 26-73 pages (arXiv) (10.21494/ISTE.OP.2025.1316).
• (4) S. Bouarroudj, Q. Ehret, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, preprint, January 2024 (updated arXiv), to appear in Journal of Algebra and Its Applications, 2026 (10.1142/S0219498826500659).
• (3) S. Bouarroudj, Q. Ehret, Double extensions of quasi-Frobenius Lie superalgebras with degenerate center, Communications in Algebra Vol. 53, 2025 - Issue 5, pp. 1739-1754 (10.1142/S0219498826500659) (arXiv).
• (2) S. Bouarroudj, Q. Ehret, Y. Maeda, Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras, SIGMA. Symmetry Integrability Geom. Methods Appl. 19 (2023), 070, 29 pages (Article) (10.3842/SIGMA.2023.070).
• (1) Q. Ehret, A. Makhlouf, On classification and deformations of Lie-Rinehart superalgebras, Communications in Mathematics 30 (2022), no. 2, 67–92. (Article) (10.46298/cm.10537).

Conferences and Talks

Upcoming Events

• January 2026, Conference, TBA, TBA , Sultan Qaboos University, Muscat, Oman.
• September 2025, Conference, Lagrangian extensions of Lie superalgebras in characteristic 2, X International Workshop on Non-Associative Algebras in Dijon, Université Bourgogne Europe, Dijon, France

Past Events

• (23) September 2025, Conference, Restricted Poisson algebras in characteristic 2, China-Central Asia Algebraic Conference 2025 (CCAAC 2025), National Academy of Sciences of the Republic of Kazakhstan, Almaty. (slides)
• (22) June 2025, Conference, Restricted Poisson algebras in characteristic 2, Workshop on algebras and applications in mathematical physics, Chern Institute of Mathematics, Tianjin, China. (slides)
• (21) February 2025, Post-Doc Seminar, On Lie superalgebras in characteristic 2, NYUAD Post-Doc Seminar, New York University Abu Dhabi. (blackboard talk, no slides)
• (20) January 2025, Seminar, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, Séminaire ART, Institut de Recherche Mathématique Avancée, Strasbourg, France. (slides, new version of the talk)
• (19) December 2024, Conference, Lagrangian extensions of Lie superalgebras in characteristic 2, 6th Euro-Maghreb Conference in Algebra, Geometry and Lie Theory, Hammamet, Tunisia. (slides)
• (18) November 2024, Conference, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, Non-associative algebras, representations and applications International Conference, SUSTech, International Center for Mathematics, Shenzhen, China. (slides, new version of the talk)
• (17) July 2024, Conference, Central extensions of nilpotent superalgebras, MAThEOR Days 2, Ste Marie-au-Mines, France. ( slides )
• (16) April 2024, Seminar, Restricted Lie algebras in characteristic p=2, Math Post-Doc Day, NYU Abu Dhabi, United Arab Emirates. ( slides )
• (15) March 2024, Seminar, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, Department of Mathematics, Mulhouse, France (slides, long version of the talk)
• (14) February 2024, Conference, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, VII International Workshop on Non-associative Algebras, Lecce, Italy. ( slides, short version of the talk)
• (13) January 2024, Seminar, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, GTP Seminar, NYU Abu Dhabi, United Arab Emirates. ( slides )
• (12) April 2023, Conference, Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras, Euro-Maghreb Conference in Algebra, Geometry and Lie Theory, Sousse, Tunisia. ( slides )
• (11) March 2023, PhD Seminar, Restricted structures on the Heisenberg algebra, Institut de Recherche Mathématique Avancée, Strasbourg, France ( slides ).
• (10) January 2023, PhD Seminar, Algebraic Structures emerging from genetical Inheritance, PhD seminar of the IRIMAS institute, Mulhouse, France ( slides ).
• (9) December 2022, Seminar, Chevalley-Eilenberg cohomology and deformations of Lie algebras in positive characteristic, Institute of Mathematics and Statistics, Tartu, Estonia ( slides ).
• (8) October 2022, Conference, Deformations of Lie-Rinehart (Super)algebras, IV International Workshop on Non-associative Algebras, Covilhã, Portugal ( slides ).
• (7) September 2022, Conference, Deformations of Lie-Rinehart (Super)algebras, New Trends in Hopf Algebras and Monoidal Categories, Turin, Italy ( slides ).
• (6) June 2022, Conference, Deformations of Lie-Rinehart (Super)algebras, Conference of differential geometry, contact geometry, dynamical systems and beyond, in memory of Robert Lutz, Mulhouse, France ( slides ).
• (5) March 2022, Seminar, Cohomology and Deformations of restricted Lie Algebras in positive Characteristic, IRIMAS, Department of Mathematics, Mulhouse, France ( slides in French ).
• (4) February 2022, PhD Seminar, A Survey about Deformations of Lie Algebras, Institut de Recherche Mathématique Avancée, Strasbourg, France ( slides in French ).
• (3) November 2021, Poster, On Classification and Deformations of Lie-Rinehart Superalgebras, Research School Higher Structures Emerging from Renormalisation, Erwin Schrödinger Institute, Vienna, Austria ( poster ).
• (2) November 2021, Talk in a Workshop, Birkhoff Theorem and Optimal Transport, Groupe de travail Transport Optimal, IRIMAS, Mulhouse, France ( notes in French ).
• (1) May 2021, Talk in a Workshop, About the Grothendieck Group K_0, Groupe de travail K-théorie, Institut de Recherche Mathématique Avancée, Strasbourg, France ( notes in French ).

Other documents

• My PhD thesis, Study and Deformations of Lie-Rinehart (super)algebras in positive characteristic, under the supervision of Abdenacer Makhlouf, defended in Mulhouse on September 21, 2023 ( manuscript in French ) ( slides in English ).
• My second Master thesis (M2 Recherche), Deformations of Abelian Categories, under the supervision of Abdenacer Makhlouf, defended (remotely) July 16, 2020 ( manuscript in French ) ( slides in French ).
• My first Master thesis (M2 Agrégation), Introduction to Category Theory, under the supervision of Dragos Fratila, defended in Strasbourg on May 2, 2019 ( small report in French ) ( slides in French ).
• My report for the course "Study of Mathematical Texts" (M1 Recherche), On the Weyl's Formula, under the supervision of Yohann Le Floch, defended in Strasbourg on June 18, 2018 ( manuscript in French ) ( slides in French ).

Some links

• Post-Doc seminar at New York University Abu Dhabi.
• Seminar of the departement of mathematics of the IRIMAS institute.
• Dr. Thomas Jacumin, who is post-doc in Nice University (France) and works on PDEs and variational principles applied to image processing and computer vision.
• Dr. Victoria Callet-Feltz, who was PhD student in Strasbourg working on applications of persistent homology on musical analysis. Here is a webpage she created gathering MIDI files and programs she's using. Victoria is currently PRAG (Lecturer) at IUT Louis Pasteur of Schiltigheim.
• Dr. Antoine Callet-Feltz, who was PhD student in Strasbourg working on twisted commutative algebras and functor categories. Antoine is currently PRAG (Lecturer) at the math department of the University of Strasbourg.
• Dr. Andrea Rivezzi, who was PhD student at the Università degli studi di Milano-Bicocca and Université de Haute-Alsace working on the quantization of Lie bialgebras and related topics. Andrea is currently Post-Doc in Prague.
• Dr. Armand Ley, who is post-doc in Vienna University (Austria) working on optimal transport and stochastic processes.
• A map with the Math departments and institutes of France. All the mistakes or omissions are mine and unintentional (NEW VERSION made on umap).