Meinolf Geck's homepage

MG picture 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:

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

LAAG 1 und 2 (für BSc und Lehramt; auch Schülerstudium);
Algebra (für BSc und Lehramt);
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". TRR picture
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):

The character table of the finite Chevalley group F_4(q) for q a power of 2, preprint (10 pages); see arXiv:2303.07028.
On the computation of character values for finite Chevalley groups of exceptional type, preprint (49 pages); see arXiv:2105.00722.
Generalised Gelfand--Graev representations in bad characteristic?, Transform. Groups 26 (2021), 305-326.
Computing Green functions in small characteristic, J. Algebra 561 (2020), 163-199.
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

(Several preprints are also available on the arXiv.)

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.
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, ...):

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).

The RepNet Virtual Seminar