research

Research

My main research area is finite group theory.

Publications:

"Isolated involutions whose centraliser is soluble" (Journal of Algebra 321 (2009), p. 1561–1592.)
"Soluble Radicals" (as appeared in Oberwolfach Report No 20/2008.)
"A theorem about coprime action" (Journal of Algebra 320 (2008), p. 2027–2030.)
"Isolierte Involutionen in endlichen Gruppen", my PhD Thesis (submitted in 2006).

With Lasse Rempe: Primzahltests für Einsteiger (German), a textbook. This will be published by Vieweg+Teubner, probably in September 2009. Here is a little bit to read from it.

Talks (selection):

2009:	University of Birmingham, 14th September (Leaving Seminar): "Soluble Radicals" University of Jena, 20th August: "Sätze vom Z_p-Typ". University of Halle, 29th July: "Auflösbare Radikale". University of Halle, 17th February: "Sätze vom Z_p-Typ".
2008:	Norddeutsches Gruppentheoriekolloquium in Kiel, 18th and 19th July: "Glauberman's Z-Theorem". Groups and Geometries Meeting in Oberwolfach, 20th-26th April: "Soluble Radicals". Group Theory Seminar, University of Kiel, 15th April: "Auflösbare Radikale". George Glauberman Conference in Chicago, 24th-28th March: "A local approach to Glauberman's Z-Theorem". Pure Mathematics Colloquium in Southampton, 22nd February: "Glauberman's Z*-Theorem and the special role of elements of order 2".
2007:	Norddeutsches Gruppentheoriekolloquium in Magdeburg, 9th and 10th November: "Isolierte Involutionen in endlichen Gruppen". Group Theory Seminar, University of Kiel, 6th November: " Quadratisch operierende Elemente der Ordnung p". Algebra Seminar, University of Aberdeen, 25th October: "A local approach to Glauberman's Z*-Theorem". Algebra Seminar, University of Manchester, 15th May: "Isolated involutions in finite groups". Algebra Seminar, TU Kaiserslautern, 24th April: "Isolierte Involutionen in endlichen Gruppen". Algebra Seminar, University of Birmingham, 31st January: "Isolated involutions in finite groups".

Workshops, conferences, meetings:

2009:	Finite Simple Groups and Algebraic Groups Summer School (Berlin). Colloquium for G. Stroth's 60th birthday (Halle). Conference on Algebraic Topology, Group Theory and Representation Theory (Isle of Skye). Colloquium for B.Stellmacher's and R. Schmidt's 65th birthdays (Kiel). LMS meeting (Manchester).
2008:	Representations of finite groups of Lie type and their subgroups (Birmingham). Colloquium in honour of Gerhard Pazderski's birthday and PhD anniversary (Halle). LMS/EPSRC course on "Algebraic groups and related topics" (Birmingham). Summer school on finite groups and related geometrical structures (Venezia). Norddeutsches Gruppentheoriekolloquium (Kiel). LMS triangle meetings (Birmingham, Manchester). Groups and Geometries meeting (Oberwolfach). George Glauberman Conference (Chicago).
2007:	Norddeutsches Gruppentheoriekolloquium (Magdeburg). Conference on groups and symmetries for Rob Curtis' 60th birthday (Birmingham, co-organised). Summer school on finite groups and related geometrical structures (Venezia). Fusion systems conference (Birmingham). LMS triangle meetings (Birmingham, Manchester).
2006:	Norddeutsches Gruppentheoriekolloquium (Kaiserslautern). Summer school on finite groups and related geometrical structures (Dobbiaco). LMS triangle meeting (Birmingham).
2002-2005:	Summer school on finite groups and related geometrical structures 2004,2005 (Udine). Norddeutsches Gruppentheoriekolloquium 2002,2003,2004.

Grants:

1998-2003 Grant from the Studienstiftung des deutschen Volkes for undergraduate students.
2002 Grant from the DAAD for a short term visit in Paris.
2003-2006 Grant from the Studienstiftung des deutschen Volkes for postgraduate students.
Conference Grant from the LMS.
Currently on a Fellowship of the Leverhulme Trust (grant to Paul Flavell).

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