Meinolf Geck
Universität Stuttgart
Fachbereich Mathematik
IDSR - Lehrstuhl für Algebra
Pfaffenwaldring 57
D-70569 Stuttgart

Tel.: +49 (0) 711 68565367;    Büro: 8.350;    email: meinolf.geck(at)mathematik.uni-stuttgart.de

Lehre/Teaching:

• WiS 24/25: Algebraic groups; Computerpraktikum.
• SoS 24: Lie algebras and Chevalley groups; Hauptseminar Algebra.
• WiS 23/24: Algebra; Hauptseminar Diskrete und algebraische Methoden in der Informatik.
• SoS 23: LAAG2; Algebra für M.Ed./Lehramt (Lesekurs).
• WiS 22/23: LAAG1; Einführung in GAGA B.
• SoS 22: Mathematik 2 für inf, swt, msv; Proseminar zur Linearen Algebra.
• WiS 21/22: Mathematik 1 für inf, swt, msv.
• Archive (2021 and older).

Skripte (auch zum Selbststudium geeignet); Kommentare sehr willkommen:

• LAAG 1 und 2 (für BSc und Lehramt, auch Schülerstudium; Version 12.07.23);
• Algebra (für BSc und Lehramt, Version 15.04.24);
• Lie algebras and Chevalley groups (für BSc Vertiefung oder Master);
• Mathematik 1 und 2 (für Informatikstudiengänge).

BSc/MSc-Arbeiten: Liste der am Lehrstuhl für Algebra betreuten Abschlussarbeiten. Themen, für BSc, Master oder Lehramt, werden individuell vereinbart, sowohl rein theoretische als auch solche mit Programmier-Komponenten (GAP oder OSCAR). Bei Interesse bitte einfach per email (z.B.) anfragen.

PhD students (with links to their theses)

   Mitglied/PI im SFB-TRR 195 "Symbolische Werkzeuge in der Mathematik und ihre Anwendung".
   Anglo-Franco-German Representation Theory network.

   Editor: Archiv der Mathematik, Carpathian Journal of Mathematics

Click on a book for additional information/errata

Some recent, and selected older papers (for the full list of publications, click here):

• (With A. Lang) Canonical structure constants for simple Lie algebras; 15 pages, preprint at arXiv:2404.07652.
• On the character tables of the finite reductive groups E_6(q)_ad and 2E_6(q)_ad; 20 pages, preprint at arXiv:2403.02434.
• (With J. Hetz) On the labelling of characters of Weyl groups of type F_4, Beitr. Algebra Geom. (2024); DOI.
• Green functions and Glauberman degree-divisibility, Annals of Math. 192 (2020), 229-249.
• A first guide to the character theory of finite groups of Lie type; 35 pages; chapter in Local Representation Theory and Simple Groups (2018)
• On the construction of semisimple Lie algebras and Chevalley groups, Proc. Amer. Math. Soc. 145 (2017), 3233-3247

Publications related to teaching:

• On the Jordan-Chevalley decomposition of a matrix, preprint at arXiv:2205.05432.
• On Jacob's construction of the rational canonical form of a matrix, Electron. J. Linear Algebra 36 (2020), 177-182.
• Eigenvalues and polynomial equations, Amer. Math. Monthly, 126 (November 2019), 933--935.
• Eigenvalues of real symmetric matrices, Amer. Math. Monthly 122 (May 2015), 482-483
• On the characterization of Galois extensions, Amer. Math. Monthly 121 (August/September 2014), 637-639; siehe auch FreedomMathDance.
• Algebra: Gruppen, Ringe, Körper - Mit einer Einführung in die Darstellungstheorie endlicher Gruppen. Edition Delkhofen, 2014. vi+150pp., EAN 978-3936413-15-1.

Software (now available at github/geckmf); all comments welcome, bug reports, suggestions for improvements etc:

• ChevLie - A Julia package for constructing Lie algebras and Chevalley groups; version 1.2. (See also my article at JSAG.)
• A GAP program for computing the Frobenius normal form and also the Jordan-Chevalley decomposition of a matrix, even large ones over a finite field. (This is the version of 12.5.2022; the older version is here.)
• PyCox - A Python version of CHEVIE-GAP; latest version: 1.6180. It can compute Kazhdan-Lusztig cells, even for type E_8.
• The CHEVIE project; see also Jean Michel's gap3-jm and Gapjm.jl.

Slides from some talks: Virtual Nikolaus Conference (December 2020); Kolloquium Tübingen (July 2017); In memoriam Fokko du Cloux (September 2007).

Links (Conferences, workshops, ...):

• Algebraic Groups on the Grand Canal Warwick Venice Centre, 7 - 11 April 2025.
• Representation Theory Days (in honour of George Lusztig), MIT, 9 - 11 Nov 2024.
• Representation Theory at the Villa Denis 2024, Frankenstein, 27 - 28 Sep 2024.
• Groups and Representations: After Roger Carter, University of Warwick, 4 - 6 Sep 2024.
• Darstellungstheorietage, Wuppertal, 22 - 23 Feb 2024.
• Representation Theory at the Villa Denis 2023, Frankenstein, 6 - 7 Oct 2023.
• Third Annual Meeting SFB-TRR 195, Saarbrücken, 25 - 28 Sep 2023.
• Trends in Representation Theory and Related Topics, Universitatea Babes-Bolyai, Cluj-Napoca, 12 - 16 Sep 2023.
• Representations of Reductive Groups, RWTH Aachen, 7 - 9 June 2023.
• Representations of Finite Groups, MFO, Oberwolfach, 16 - 22 Apr 2023.
• Lie Theory in Prato, Monash Prato Centre, Italy, 10 - 13 Jan 2023.
• Darstellungstheorietage, TU Kaiserslautern, 28 - 29 Oct 2022.
• Representation Theory at the Villa Denis 2022, Frankenstein, 30 Sep - 1 Oct 2022.
• 6th Annual Conference SFB-TRR 195, Blaubeuren, 19 - 22 Sep 2022.
• Groups, representations and applications: new perspectives, 3 May 2022 to 29 July 2022, Cambridge, UK.
• Archive (2021 and older).

Recent articles in arXiv:math.RT

Short CV:

• 1983-1988 Studies of Mathematics, RWTH Aachen.
• 1983-1989 Scholarship by German Academic Scholarship Foundation (Studienstiftung).
• 1988-1989 Postgraduate visiting student, University of Warwick, England.
• 1990 Ph.D., RWTH Aachen.
• 1991 Bennigsen-Foerder Prize (jointly with K. Lux).
• 1994 Habilitation, RWTH Aachen.
• 1995-1999 Chercheur CNRS, Université Paris 7, France.
• 1999-2005 Professor, Université Lyon 1, France.
• 2005-2012 6th Century Professor, University of Aberdeen, Scotland.
• 2012-? Lehrstuhl für Algebra, Universität Stuttgart.

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