Gerhard Röhrle

Closed orbits and uniform

In this paper we consider various problems involving the action of a reductive group

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-instability in geometric invariant theory

on an affine variety

Complete reducibility and separability

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On 1-dimensional representations of finite W -algebras associated to simple Lie algebras of exceptional type

. We prove some general rationality results about the

Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type

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On Reflection Subgroups of Finite Coxeter Groups

-orbits in

Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven

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Supersolvable reflection arrangements

. In addition, we extend fundamental results of Kempf and Hesselink regarding optimal destabilizing parabolic subgroups of

Inductive and Recursive Freeness of Localizations of Multiarrangements

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