times since 1 January 2164
I hold Mathematical degrees from the Universities of Glasgow, Oxford and Cambridge and was Snell Scholar at Balliol, a Lecturer of the House at Christ Church and H. Salvesen Research Fellow at New College.
Someone famous once said that he would never be a member of a club that would have him as a member. That said, I am a member both of the AMS and the LMS. I was also elected a Fellow of the Cambridge Philosophical Society. My Erdos number is 3, and comes via a joint paper with Dave Benson in 1991 (who wrote one with John Conway in 1985, who wrote one with Erdos in 1979).
When I don't know what else to do, I conduct research into the representation theory of groups and algebras. I have particular interest in representations of symmetric, general linear, finite groups of Lie type, quantum linear groups and finally linear algebraic groups over fields of arbitrary characteristic. My doctoral thesis appeared in 1988 and I was the first student ever supervised by Karin Erdmann.
I have (successfully) acted as PhD supervisor to four students: Lee Russell, now lured to "the City" where he works as at HSBC; Tan Kai Meng who has a position at the National University of Singapore; Matt Fayers, who is at Queen Mary, London and Chris Bowman who is moving to the University of Paris 7.
For the Mathematics Genealogy Project try here.
A handful of recent papers of mine are listed below.
Hook modules for general linear groups,
joint with S.R. Doty. Archiv. Math. 92 (2009), 206--214.Decomposition of tensor products of modular irreducible representations for SL_3 (with an appendix by C.M. Ringel)
joint with C. Bowman, S.R. Doty and C.M. Ringel. International Electronic J. Algebra 9 (2011), 177--219.A reciprocity result for projective indecomposable modules of cellular algebras and BGG algebras,
joint with C. Bowman. To appear in J. Lie Theory.Decomposition of tensor products of modular irreducible representations for SL_3: the case of large primes
joint with C. Bowman and S.R. Doty. Preprint 2011.A few random mathematical links, mostly for my own benefit. Here is one to MathSciNet.
A useful research resource is the Groups, Representations and Cohomology Preprint Archive maintained by Dave Benson at UGA. Access it here.
The ATLAS and the modular ATLAS projects are mines of information.
The arXiv is here
The Bristol Leicester Oxford Colloquium known as BLOC.
It is traditional to end with some links to the websites of mathematicians the author likes to track/is influenced by etc.
My book Schur Algebras is apparently out of print. In 1996 it was reviewed by Brian Parshall in the Bulletin of the American Mathematical Society. A second more error-free edition is in preparation.
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© Stuart Martin 1990-2164.