Times Higher Education Award: 2010 University of the Year

Supporter of LMS Good Practice Award

Dr Michael Bate

Research group:
Algebra | Geometry | Pure Mathematics
MMath (Oxon), PhD (Birmingham)
Lecturer

Research Interests

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.

Recent Publications

Submitted

Bate, ME, Martin B, Roehrle G.  Submitted.  The strong Centre Conjecture: an invariant theory approach.

In Press

Bate, ME, Martin B, Roehrle G, Tange R.  In Press.  Closed orbits and uniform S-instability in geometric invariant theory. Transactions of the AMS.

2011

Bate, ME, Martin B, Roehrle G, Tange R.  2011.  Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. Math. Z.. 269:809-832.
Bate, ME, Herpel S, Martin B, Roehrle G.  2011.  G-Complete Reducibility and Semisimple Modules. Bulletin of the LMS.

2010

Bate, ME, Martin B, Roehrle G, Tange R.  2010.  Complete Reducibility and Separability. Transactions of the AMS. 362(8):4283-4311.

Full publication list

Recent Research Activity

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".

 

Teaching

Year: 2012/13
Title Course category Term
Algebraic Number Theory & Algebraic Geometry Masters
Spring
Summer
Linear Algebra 2nd year
Spring
Summer
Year: 2011/12
Title Course category Term
Linear Algebra 2nd year
Spring
Summer
Advanced Algebra (M Level only) 3rd year
Spring
Summer

See all years

Administration

Deputy Chair of Board of Studies in Mathematics

Chair of Mathematics Mitigating Circumstances Committee

Member of all combined programme Mitigating Circumstances Committees

 

Edited 30 Sep 2011 - 16:44 by meb505

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bate-michael

Contact Details

Dr Michael Bate
Department of Mathematics
University of York
York, YO10 5DD

michael.bate@york.ac.uk

Tel:+44 1904 32 3026
Fax: +44 1904 32 3071
Office:G/166