Meinolf Geck

Editor:

• Science China Mathematics
• Archiv der Mathematik
• Carpathian Journal of Mathematics

Some recent papers

• Computing Green functions in small characteristic, 28 pages, preprint at arXiv:1904.06970.
• Green functions and Glauberman degree-divisibility, 16 pages, preprint at arXiv:1904.04586
• Generalised Gelfand--Graev representations in bad characteristic? 22 pages, preprint at arXiv:1810.08937
• On the values of unipotent characters in bad characteristic; in Rend. Sem. Mat. Univ. Padva 141 (2019), 37--63
• 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 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.
• Eigenvalues of real symmetric matrices, Amer. Math. Monthly 122 (May 2015), 482-483
• Eigenvalues and polynomial equations, Amer. Math. Monthly, to appear (2020)

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

• The CHEVIE project; see also Jean Michel's gap3-jm and Gapjm.jl. (with G. Hiss, F. Lübeck, G. Malle, J. Michel and G. Pfeiffer), CHEVIE – A computer algebra system for computing and processing generic character tables for finite groups of Lie type and Hecke algebras; (See also publications [18], [67])
• 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).
• A GAP program for computing the Frobenius normal form (version 9.2.2019) of a matrix (even large ones over a finite field).

Diploma thesis, Ph.D. thesis, Habilitation:

• Eine Anwendung von MAPLE in der Darstellungstheorie der unitären Gruppen. Diplomarbeit, Lehrstuhl D für Mathematik, RWTH Aachen, 1987.
• Verallgemeinerte Gelfand-Graev Charaktere und Zerlegungszahlen endlicher Gruppen vom Lie-Typ. RWTH Aachen, Math.-Naturwiss. Fak./FB 1, Dissertation, 1990,134 pp.
• Beiträge zur Darstellungstheorie von Iwahori-Hecke-Algebren. Habilitationsschrift, Aachener Beiträge zur Mathematik 11, Verlag der Augustinus Buchhandlung, Aachen, 1995. x+171 pp., ISBN: 3-86073-420-2.

Co-Editor of Proceedings:

• (with R. W. Carter (eds.)) Representations of reductive groups. Publ. Newton Inst., Cambridge Univ. Press, Cambridge, 1998. viii+191 pp., ISBN: 0-521-64325-2.
• (with D. Testerman and J. Thévenaz (eds.)) Group representation theory, Presses Polytechniques et Universitaires Romandes, EPFL-Press, Lausanne, 2007. x+454 pp., ISBN: 978-0-8493-9243-6.

Books:

• (with G. Pfeiffer) Characters of finite Coxeter groups and Iwahori–Hecke algebras. London Math. Soc. Monographs, New Series 21, Oxford University Press, New York 2000. xvi+446 pp., ISBN: 0-19-850250-8.
• An introduction to algebraic geometry and algebraic groups. Oxford Graduate Texts in Mathematics 10, Oxford University Press, New York 2003. ix+307pp., ISBN: 0-19-852831-0.
• (with N. Jacon) Representations of Hecke algebras at roots of unity. Algebra and Applications 15, Springer-Verlag, 2011. xii+401pp., ISBN: 978-0-85729-715-0.
• Algebra: Gruppen, Ringe, Körper – Mit einer Einführung in die Darstellungstheorie endlicher Gruppen. Edition Delkhofen, 2014. vi+150pp., EAN 978-3936413-15-1.

Current courses can be found on the Teaching page or directly in Campus

Short CV:

• 1983-1988 Studies of Mathematics, RWTH Aachen.
• 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.