Meinolf Geck's homepage

MG picture Meinolf Geck
Universität Stuttgart
Fachbereich Mathematik
IAZ - 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:

SoS 21: Forschungssemester.
WiS 20/21: Algebra; Master-Seminar Gruppen und Lie-Algebren.
SoS 20: Lie algebras and Chevalley groups; Computer-Praktikum.
WiS 19/20: GAGA B; Proseminar zur Linearen Algebra.
SoS 19: Lineare Algebra und Analytische Geometrie II; Seminar zur Algebra (Proseminar Lineare Algebra Frau Iancu).
WiS 18/19: Lineare Algebra und Analytische Geometrie I; Seminar zur Algebra.
Archive (2018 and older).

BSc/MSc-Arbeiten: Liste der am Lehrstuhl für Algebra betreuten Arbeiten. Themen, auch gern für BSc 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: Science China Mathematics, 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):

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 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 (all comments welcome, bug reports, suggestions for improvements etc!):

ChevLie - A Julia package for constructing Lie algebras and Chevalley groups; version 1.1 (January 2020). See also my paper at J. Softw. Algebra Geom. (2020).
A GAP program for computing the Frobenius normal form (version 9.2.2019) of a matrix (even large ones over a finite field).
PyCox - A Python version of CHEVIE-GAP; in particular, it can compute Kazhdan-Lusztig cells, even for type E_8; latest version: 1.6180. See also my paper at LMS J. Comput. Math. 15 (2012).
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, ...):

The RepNet Virtual Seminar

Computational Group Theory, 15 Aug - 21 Aug 2021, MFO, Oberwolfach.
Virtual Nikolaus Conference 2020, 11 Dec - 12 dec 2020, RWTH Aachen.
4th Annual Conference SFB-TRR 195, Kaiserslautern, 22 - 24 Sep 2020.
Groups in Galway 2020 - Online edition, 9-11 Sep 2020.
Representation Theory, Thematic trimester program, 6 January to 3 April 2020, IHP, Paris, France.
Groups, representations and applications, 6 January to 30 June 2020, Cambridge, UK.
Representation theory of algebraic groups and quantum groups (Ariki's 60th birthday), 21 - 25 Oct 2019, RIMS, Kyoto.
Mini-Symposium Computer-Algebra, DMV-Jahrestagung, Karlsruhe, 23 - 26 Sept 2019.
3rd Annual Meeting SFB-TRR 195, Saarbrücken, 9 - 13 Sep 2019.
SIAM Conference on Applied Algebraic Geometry, 9 - 13 July 2019, Bern, Switzerland.
Representations of finite groups, 24 Mar - 30 Mar 2019, MFO, Oberwolfach.
Characters and decomposition numbers of finite reductive groups, 4-6 March 2019, RWTH Aachen.
Algebraic groups, Lie algebras and their representations (Jantzen 70th birthday), 22-24 Nov 2018, MPIM, Bonn.
Darstellungstheorietage 2018, 13.-15. September 2018, Hannover.
Annual meeting SFB TRR 195, 24-28 Sep 2018, Tübingen.
Algebraic representation theory (in honour of Richard Dipper), 23-25 June 2018, Stuttgart.
Computational Lie theory, 5-6 July 2018, Stuttgart.
Arithmetic and algebraic geometry (in honor of Ofer Gabber), 11-15 Juin 2018, IHES, France.
Introductory Workshop: Group Representation Theory and Applications, MSRI, 5-9 Feb 2018, Berkeley, USA.
Darstellungstheorietage 2017, Eichstätt, 10.-11. November 2017.
First annual meeting of SFB-TRR195, RWTH Aachen, 25-28 September 2017.
Current topics in the theory of algebraic groups, Dijon, 3-7 July 2017.
Computeralgebra-Tagung 2017, Kassel, 4-6 Mai 2017.
Finite Simple Groups and Their Representations, Tucson, Arizona, 25-26 March 2017.
Darstellungstheorietage 2016, Wuppertal, 27.-28. Januar 2017.
Archive (2016 and older).