Prof. Dr.
Gunter Malle
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Group and representation theory
Local-global conjectures of Alperin, Brauer, McKay
Linear algebraic groups and finite groups of Lie type
spetses, cyclotomic Hecke algebras, complex reflection groups


Number theory
Asymptotic distribution of Galois groups
Distribution of class groups, Cohen-Lenstra heuristic
Database for class groups
Database for Galois extensions
Inverse problem of Galois theory


SFB TRR 195 Symbolic Tools in Mathematics and their Application


Books that I have read
Univ. of KaiserslauternDept. of MathematicsWG Algebra & GeometryCAS SINGULAR KIS