Gunter Malle

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Gunter Malle (born May 13, 1960 in Karlsruhe ) is a German mathematician who deals with group theory , representation theory of finite groups and number theory.

Gunter Malle, Oberwolfach 2006

Malle received his doctorate in 1986 at the University of Karlsruhe under Heinrich Matzat ( exceptional groups of the Lie type as Galois groups ). He completed his habilitation in 1991 at the University of Heidelberg and from 1998 was a professor at the University of Kassel. Since 2005 he has been a professor at the Technical University of Kaiserslautern .

Malle conducts research on linear algebraic groups and finite groups of the Lie type and local-global conjectures in the representation theory of finite groups (by Richard Brauer , Jonathan L. Alperin (Weight Conjecture) and John McKay ).

In 1993 he started a collaboration with Michel Broué and Jean Michel through Spetses (named after the Greek island where the program was initiated). The starting point was the question of whether every finite complex reflection group is a Weyl group of an object analogous to a finite group of the Liet type. They called the unknown objects still to be constructed Spetses.

He deals with the Cohen - Lenstra heuristics of the structure of class groups of quadratic number fields in algebraic number theory, the asymptotic distribution of Galois groups of number fields and with the inverse problem of Galois theory.

Malle (left), Michel Broué, Jean Michel, Oberwolfach 2004

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Spetses ).

In 1994 he received the Alexander von Humboldt Research Prize for German-French scientific cooperation.

Fonts (selection)

  • with Olivier Dudas: Modular irreducibility of cuspidal unipotent characters , Invent. Math., Volume 211, 2018, pp. 579-589
  • with Britta Späth: Characters of odd degree , Annals of Math., Volume 184, 2016, pp. 869–908,
  • with Caroline Lassueur, Elisabeth Schulte: Simple endotrivial modules for quasi-simple groups , J. reine angew. Math., Volume 712, 2016, pp. 141–174
  • with Radha Kessar: Quasi-isolated blocks and Brauer's height zero conjecture , Annals of Math., Volume 178, 2013, pp. 321–384
  • with Robert Guralnick: Products of conjugacy classes and fixed point spaces , J. Amer. Math. Soc., Volume 25 2012, pp. 77-121
  • with Donna Testerman: Linear algebraic groups and Finite Groups of Lie Type , Cambridge University Press 2011
  • with Marty Isaacs, Gabriel Navarro: A reduction theorem for the McKay conjecture , Invent. Math., Volume 170, 2007, pp. 33-101
  • with Jürgen Klüners: Counting nilpotent Galois extensions , J. pure angew. Math., Volume 572, 2004, pp. 1–26
  • with Heinrich Matzat: Inverse Galoistheorie , Springer Verlag 1999
  • with Michel Broué, Raphaël Rouquier : Complex reflection groups, braid groups, Hecke algebras , J. reine angew. Math., Volume 500, 1998, pp. 127–190
  • with Michel Broué, Jean Michel: Représentations unipotentes génériques et blocs des groupes réductifs finis , Société Mathématique de France, 1993 (with appendix by George Lusztig )
  • Exceptional groups of Lie type as Galois groups , J. reine angew. Math., Volume 392, 1988, pp. 70-109

Web links

Individual evidence

  1. ↑ Kürschner's Scholars Calendar 2009
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Malle, Gunter
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH May 13, 1960
PLACE OF BIRTH Karlsruhe