Personal Homepage of Quentin Ehret

Post-doc in Mathematics

Preprints

  • (5) S. Bouarroudj, Q. Ehret, Double extensions of quasi-Frobenius Lie superalgebras with degenerate center, preprint, May 2024 (arXiv).
  • (4) S. Bouarroudj, Q. Ehret, Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4, preprint, January 2024 (arXiv).
  • (3) Q. Ehret, A. Makhlouf, Deformations and Cohomology of restricted Lie-Rinehart algebras in positive characteristic, preprint, May 2023 (arXiv).

    • Journal papers

  • (2) S. Bouarroudj, Q. Ehret, Y. Maeda, Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras, SIGMA 19 (2023), 070, 29 pages (Article).
  • (1) Q. Ehret, A. Makhlouf, On classification and deformations of Lie-Rinehart superalgebras, Communications in Mathematics 30 (2022), no. 2, 67–92. (Article) (DOI).

    • Conferences and Talks

  • April 2024, Seminar, Restricted Lie algebras in characteristic p=2, Math Post-Doc Day, NYU Abu Dhabi, United Arab Emirates. ( slides )
  • 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 )
  • 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 )
  • 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 )
  • 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 )
  • March 2023, PhD Seminar, Restricted structures on the Heisenberg algebra, Institut de Recherche Mathématique Avancée, Strasbourg, France ( slides ).
  • January 2023, PhD Seminar, Algebraic Structures emerging from genetical Inheritance, PhD seminar of the IRIMAS institute ( slides ).
  • December 2022, Seminar, Chevalley-Eilenberg cohomology and deformations of Lie algebras in positive characteristic, Institute of Mathematics and Statistics, Tartu, Estonia ( slides ).
  • October 2022, Conference, Deformations of Lie-Rinehart (Super)algebras, IV International Workshop on Non-associative Algebras, Covilhã, Portugal ( slides ).
  • September 2022, Conference, Deformations of Lie-Rinehart (Super)algebras, New Trends in Hopf Algebras and Monoidal Categories, Turin, Italy ( slides ).
  • 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 ).
  • March 2022, Seminar, Cohomology and Deformations of restricted Lie Algebras in positive Characteristic, IRIMAS, Department of Mathematics, Mulhouse, France ( slides in French ).
  • February 2022, PhD Seminar, A Survey about Deformations of Lie Algebras, Institut de Recherche Mathématique Avancée, Strasbourg, France ( slides in French ).
  • November 2021, Poster, On Classification and Deformations of Lie-Rinehart Superalgebras, Research School Higher Structures Emerging from Renormalisation, Erwin Schrödinger Institute, Vienna, Austria ( poster ).
  • November 2021, Talk in a Workshop, Birkhoff Theorem and Optimal Transport, Groupe de travail Transport Optimal, IRIMAS, Mulhouse, France ( notes in French ).
  • 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

  • The page of the seminar of the departement of mathematics of the IRIMAS institute.
  • The page of Dr. Thomas Jacumin, who is post-doc in Lund University and works on PDEs and variational principles applied to image processing and computer vision.
  • The page of Dr. Victoria Callet, 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.
  • The page of Dr. Antoine Feltz, who was PhD student in Strasbourg working on twisted commutative algebras and functor categories.
  • The page of 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.
  • A map with the Math departements and institutes of France. All the mistakes or omissions are mine and unintentional.