Gunter Malle

Prof. Gunter Malle is a Professor in the Department of Mathematics at RPTU Kaiserslautern-Landau, specializing in algebra, group theory, and number theory. He leads the Algebra and Geometry research group and holds editorial roles for Journal of Algebra and Representation Theory. His research focuses on representation theory of finite groups, local-global conjectures (e.g., Brauer, Alperin), algebraic groups, and Galois theory, including the inverse Galois problem and distribution of class groups.

• Education/Background: Not explicitly detailed in text, but extensive academic career spans over three decades with PhD-level contributions.

Key projects include databases for invariant rings, class groups, and Galois extensions. He actively contributes to conferences and collaborates internationally, with recent talks and visits to institutions like Cambridge, Oberwolfach, and Banff. His work bridges pure mathematics with computational tools, emphasizing symbolic algebra and experimental methods.

Publications span over 160 articles and monographs, including influential works on character theory, spetses, and modular representation theory. He is a leading expert on finite reductive groups and local-global conjectures, with significant contributions to resolving the Brauer height zero conjecture and related problems.