Jonas Hetz

Research

I am a postdoctoral researcher in Mathematics at the RWTH Aachen University, as a part of the working group of Frank Lübeck.
I recently obtained my PhD from the University of Stuttgart under the supervision of Meinolf Geck.
My main research interest lies in the representation theory of finite groups of Lie type, in particular with regard to their character theory.

Publications

The values of unipotent characters at unipotent elements for groups of type E_8 and 2E_6 (September 2023), preprint at arXiv:2309.09915.
(with M. Geck) On the labelling of characters of Weyl groups of type F_4, Beitr. Algebra Geom. (2024); DOI.
Characters and character sheaves of finite groups of Lie type, PhD thesis, 2023, available at OPUS.
On the generalised Springer correspondence for groups of type E_8, Represent. Theory 27 (2023), 973–999.
On the values of unipotent characters of finite Chevalley groups of type E_7 in characteristic 2, Osaka J. Math. 59 (2022), 591–610.
On the values of unipotent characters of finite Chevalley groups of type E_6 in characteristic 3, J. Algebra 536 (2019), 242–255.

Conferences, Workshops and Meetings

Upcoming:

Groups and Representations: After Roger Carter, University of Warwick, 4 – 6 Sep 2024.

Past:

Darstellungstheorietage 2023, BU Wuppertal, 22 – 23 Feb 2024.
Nikolaus Conference 2023, RWTH Aachen University, 8 – 9 Dec 2023.
Representation Theory at the Villa Denis 2023, Frankenstein, 6 – 7 Oct 2023.
7th Annual Meeting SFB–TRR 195, Saarland University (Saarbrücken), 25 – 28 Sep 2023.
Representations of Reductive Groups, celebrating the 60th birthday of Meinolf Geck, RWTH Aachen University, 7 – 9 June 2023.
Representations of Finite Groups, MFO Workshop, Oberwolfach, 16 – 22 Apr 2023.
Nikolaus Conference 2022, RWTH Aachen University, 9 – 10 Dec 2022.
Representation Theory at the Villa Denis 2022, Frankenstein, 30 Sep – 1 Oct 2022.
6th Annual Meeting SFB–TRR 195, Blaubeuren, 19 – 22 Sep 2022.
AMS–EMS–SMF International Meeting, Grenoble, 18 – 22 July 2022.
Groups, representations and applications: new perspectives, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 3 May – 29 July 2022.
5th Annual Meeting SFB–TRR 195, online, organised at RWTH Aachen University, 13 – 16 Sep 2021.
Representation Theory at the Villa Denis 2021, Frankenstein, 15 – 16 July 2021.
Archive (2020 and older).

Selected talks

Invited

Towards determining the character tables of finite groups of Lie type, guest seminar of the working group of Britta Späth, BU Wuppertal, 27 June 2023.
On character values of finite groups of Lie type, AMS–EMS–SMF International Meeting, Grenoble, 20 July 2022.
Characters and character sheaves of finite groups of Lie type, Groups, representations and applications: new perspectives, INI Cambridge, UK, 19 May 2022.
On the values of unipotent characters of finite groups of Lie type, "Guest Seminar Groups and Representations (AG Malle)", TU Kaiserslautern, 2 May 2019.

Contributed

The values of unipotent characters at unipotent elements for groups of type E_8, Frankenstein, 6 Oct 2023.
On the character tables of finite reductive groups, 7th Annual Meeting SFB–TRR 195, Saarland University (Saarbrücken), 28 Sep 2023.
On the generalised Springer correspondence, MFO Workshop on Representations of Finite Groups, Oberwolfach, 17 Apr 2023.
Ree's Formula and the Generalised Springer Correspondence, Nikolaus Conference 2022, RWTH Aachen University, 10 Dec 2022.
Unipotent character sheaves and character values of finite groups of Lie type, Frankenstein, 15 July 2021.
On the Values of Unipotent Characters of Finite Groups of Lie Type, Nikolaus Conference 2019, RWTH Aachen University, 7 Dec 2019.
On the Values of Unipotent Characters of Finite Chevalley Groups of Type E_6 in characteristic 3, Nikolaus Conference 2018, RWTH Aachen University, 7 Dec 2018.

Teaching

Reading Group on Modular Representations of Finite Groups (Summer 2024, RWTH Aachen)