Dr Michael Bate
MMath (Oxon), PhD (Birmingham)
My current research centres around linear algebraic groups and their interaction with other mathematical structures. In particular, I am interested in using tools from Geometric Invariant Theory, Representation Theory and the theory of Spherical Buildings to investigate the subgroup structure of algebraic groups.
Closed orbits and uniform S-instability in geometric invariant theory. Transactions of the AMS. 365(7):3643-3673.. 2013.
The strong Centre Conjecture: an invariant theory approach. Journal of Algebra. 372:505-530.. 2012.
EPSRC Grant EP/L005328/1 New Perspectives on Buildings, Geometric Invariant Theory and Algebraic Groups. This three-year grant is running from February 2014 - 2017, and includes funding for a three-year postdoc, Haralampos Geranios, and several academic visits.
Recent Research Activity
From August 2013 to January 2014 I hosted a sabbatical visit of Dr B. Martin from the University of Auckland. Dr Martin was joined for part of his visit by his PhD student Tomohiro Uchiyama.
In November/December 2012 I had a two week stay at the Mathematics Department in the University of Auckand, New Zealand. This visit was funded by a Marsden Fund Grant held by Dr. Ben Martin at Auckland.
In September 2012 I had a two week stay at the Mathematisches Forschungsinstitut Oberwolfach in Germany, under their Research in Pairs programme.
In June 2011 I gave an invited talk at the LMS workshop on Representation Theory in Birmingham.
In February 2010 I was invited to stay at the Max Planck Institute for Mathematics in Bonn.
In September 2009 I met with Prof G. Roehrle and Dr B. Martin at the University of Bochum in Germany for 2 weeks. During my visit I gave a talk on "Tits' Centre Conjecture: Buildings, Subgroups and G-varieties" as part of the 14th NWDR meeting. This trip was funded by the Royal Society.
In February and April 2009 I was invited to the Newton Institute in Cambridge as a visiting fellow during the Algebraic Lie Theory programme. I gave a talk on "Tits' Centre Conjecture for Subgroups of Algebraic Groups".
Chair of the Board of Studies in Mathematics
Dr Michael Bate
Department of Mathematics
University of York
York, YO10 5DD
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD