Hi! I'm a PhD student in Mathematics at Ghent University

Me

About me

My name is Jari Desmet, and currently I am in the final year of my PhD at Ghent University, under the supervision of Tom De Medts. My research is funded by FWO - Research Foundation Flanders .

Contact info: jari.desmet AT ugent.be

Research area

To a layman: I like symmetries and objects that are symmetrical in some very specific ways. More specifically, my PhD concerns a certain class of non-associative algebras, that are related to algebraic groups. This includes an interest in a range of topics, such as Lie algebras, representation theory, Jordan algebras, axial algebras and the like.

Work

Submitted (or in preparation) papers

  1. Desmet, Jari. "Non-associative Frobenius algebras of type $^1E_6$ with trivial Tits algebras" arXiv
  2. Desmet, Jari. "Non-associative Frobenius algebras of type $E_7$" arXiv
  3. Desmet, Jari. "Solid lines in axial algebras of Jordan $\tfrac{1}{2}$ and Jordan algebras" arXiv
  4. (in preparation) Desmet, Jari. "New fusion laws for algebraic groups of non-simply laced type"

Accepted papers

  1. Desmet, Jari. "Non-associative Frobenius algebras for type $ G_2 $ and $ F_4$." doi: 10.1007/s00031-023-09792-6 (2023), Transformation Groups. ( full text )

Attended Conferences

  1. "Non-associative Algebras and Related Topics", University of Coimbra, Portugal, 18-22 July 2022 Website .
  2. Belgian Mathematical Society PhD day, Liège University, Belgium, 13 May 2022.
  3. "Polygons, Buildings and Related Geometries", Ghent University, Belgium, 19-22 September 2022 Website .
  4. "Algebras, Geometries, and Groups", Académie Royale de Belgique, Belgium, 20-21 December 2022 Website .
  5. "Young Geometric Group Theory XI", WWU Münster, Germany, 13-17 February 2023 Website .
  6. "p-Kazhdan–Lusztig bases", Ghent University, Belgium, 17-21 April 2023 Website .
  7. "Summer School on High-dimensional Expanders", Ghent University, Belgium, 22-26 May 2023 Website .
  8. "Groups, Rings, Lie and Hopf Algebras", Memorial University of Newfoundland, Harlow Campus, UK, 21-25 August 2023 Website
  9. Belgian Mathematical Society PhD day, Antwerp University, Belgium, 24 May 2024.
  10. "Integral Structures in Geometry and Representation Theory", Paderborn University, Germany, 9-13 September 2024 Website
  11. "Buildings 2024", WWU Münster, Germany, 23-26 September 2024 Website
  12. "Algebraic groups in a broad sense", Stockholm University, Sweden , 17-18 October 2024 Website
  13. "VIII International Workshop on non-associative Algebras", Linköping University, Sweden, 21-25 October 2024 Website

Co-organized Conferences

  1. "Polygons, Buildings and Related Geometries", Ghent University, Belgium, 19-22 September 2022 Website .
  2. "Summer School on High-dimensional Expanders", Ghent University, Belgium, 22-26 May 2023 Website .

Talks and posters

  • Talk: "Non-associative Frobenius algebras for simple algebraic groups" Université Libre de Bruxelles - Hopf Algebras and Quantum Groups Seminar, 28 March 2022.
  • Poster : "Non-associative Frobenius algebras for simple algebraic groups" Liège University - Belgian Mathematical Society PhD day, 13 May 2022.
  • Talk: "Non-associative Frobenius algebras for groups of type $G_2$ and $F_4$" Ghent University - Algebras and Schur Weyl Duality Workshop, 22 June 2022 .
  • Talk : "Non-associative Frobenius algebras for simple algebraic groups" University of Coimbra - Non-associative Algebras and Related Topics, 19 July 2022 .
  • Talk : "Representations of algebraic groups with an interesting axial structure" Novosibirsk State University (Online) - Axial algebras seminar, 5 December 2022 .
  • Talk: "Using abstract characters of exceptional groups to build concrete algebras" KULAK - Ghent-Kortrijk Seminar, 22 March 2023.
  • Talk : "A characterization of Jordan algebras using solid lines" Novosibirsk State University (Online) - Axial algebras seminar, 26 March 2024.
  • Talk : "Solid lines in axial algebras of Jordan type $\tfrac{1}{2}$ and derivations" Linköping - VIII International Workshop on non-associative Algebras, 22 October 2024.

Teaching

  1. Exercise classes Linear Algebra, course in 1st year Physics bachelor, Autumn 2021-2022
  2. Exercise classes Calculus, course in 1st year Informatics bachelor, Spring 2022
  3. Exercise classes Algebra I, course in 2d year Mathematics bachelor, Autumn 2023-2024, Autumn 2024-2025
  4. Exercise classes Algebra II, course in 3d year Mathematics bachelor, Spring 2023,Spring 2024
  5. Exercise classes Linear Algebraic Groups, course in Mathematics Master, Spring 2023

Other

Apart from Mathematics, I spend most of my time playing handball at Handbalclub Elita Lebbeke. I also like the occasional boardgame, and you can always make me happy with your worst puns. Please send them to me, and maybe I will start compiling a list at some point.

F.A.Q

Frequently Asked Questions

  • No. So if anything seems strange about this website, now you know why.

  • In december I occasionally wear it to get in a festive mood.

  • Sometimes, but not when people try to contact me. Feel free to send me an email at jari.desmet AT ugent.be