Dr Sercombe's field of research is algebraic groups over an arbitrary field k. His project within his Alexander von Humboldt Fellowship centers around the problem of classifying maximal subgroups of a simple k-group G up to conjugacy by some element of G(k), in terms of Tits indices. This project follows on from his PhD work, which looked at maximal subgroups of maximal rank in G.
In addition Dr Sercombe has recently become interested in more general group schemes, in particular pseudo-reductive groups. He will be looking to generalise some of the aforementioned ideas to pseudo-simple k-groups.
Dr Sercombe works in the research group of Prof. Dr Gerhard Röhrle.
Dr Sercombe receives Fellowship
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Dr. Sercombe has received a two year Alexander von Humboldt Fellowship to conduct independent research at Ruhr-University Bochum.
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