Dr Michael Bate
MMath (Oxon), PhD (Birmingham)
Reader
Research InterestsMy 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. Recent PublicationsSubmitted
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Submitted.
In Press
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In Press.
Asymptotic bounds for the size of ${\rm Hom}(A,{\rm GL}_n(q))$. Glasgow Math. Journal .
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In Press.
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In Press.
2016
On a question of Kuelshammer for representations of finite groups in reductive groups. Israel Journal of Mathematics. 214(1):463470.
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2016. Research FundingEPSRC Grant EP/L005328/1 New Perspectives on Buildings, Geometric Invariant Theory and Algebraic Groups. This threeyear grant is running from February 2014  2017, and includes funding for a threeyear postdoc, Haralampos Geranios, and several academic visits. ConferencesRepresentations of Algebraic Groups: A Conference in Honour of Stephen Donkin. This conference was be held in York from 13th15th July 2016. Leading lights from the world of algebraic groups and their representations headlined our mathematical celebration of Steve Donkin. Complete Reducibility, Geometric Invariant Theory and Buildings. This conference, which I coorganized in Bochum, Germany from 15th19th February 2016, brought together experts in the areas of algebraic groups, invariant theory and buildings for a week centred around Serre's notion of complete reducibility. Recent Research ActivityI visited the Mathematisches Forschungsinstitut Oberwolfach for a two week "Research in Pairs" stay during July 2015. I gave invited talks at conferences in Jena and Lancaster during September 2014. I hosted visits of Prof G. Roehrle and Dr S. Herpel from the University of Bochum in October 2013 and January 2014. They were joined by Dr D. Stewart from Cambridge for the second of these visits. I had a return visit to Bochum in September 2014. 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.
Teaching
AdministrationDeputy Head of Department (Teaching) Chair of the Board of Studies in Mathematics 
Contact Details
Dr Michael Bate
Department of Mathematics University of York York, YO10 5DD


Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD Legal Statements 
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