Research output per year
Research output per year
Personal profile
Research interests
My main research focus is affine algebraic groups and their interaction with other mathematical structures. In particular, I am interested in Geometric Invariant Theory, Representation Theory and the theory of Spherical Buildings. I have done a lot of work using tools from all of these areas to investigate the subgroup structure of algebraic groups. More recently, I have also begun a systematic investigation of the representation theory of pseudo-reductive groups. I am also interested in studying random walks on algebraic structures.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Research output
- 25 Article
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Edifices: building-like spaces associated to linear algebraic groups
Bate, M., Martin, B. & Röhrle, G., 13 Sept 2023, In: Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial. 20, 2-3, p. 79-134Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Irreducible modules for pseudo-reductive groups
Bate, M. & Stewart, D., 9 Nov 2021, (E-pub ahead of print) In: Journal of the european mathematical society. 24, 7, p. 2533-2553 21 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Cutoff for a One-sided Transposition Shuffle
Bate, M., Connor, S. & Matheau-Raven, O., 1 Aug 2021, In: The Annals of Applied Probability. 31, 4, p. 1746-1773 28 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile
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DFG project - Overgroups of distinguished unipotent elements in reductive groups
Bate, M., Röhrle, G. & Martin, B.
1/04/22 → 31/03/25
Project: Other project › Research collaboration
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New perspectives on Buildings, Geometric Invariant Theory and Algebraic Groups
1/02/14 → 31/01/17
Project: Research project (funded) › Research
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LMS Scheme 3: Dr B. Martin visits Cambridge, RHUL, City University London,York
THE LONDON MATHEMATICAL SOCIETY
16/06/13 → 28/02/14
Project: Other project (funded) › Restricted grant
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School of Mathematics, University of Manchester
Michael Bate (Visitor) & David Stewart (Collaborator)
11 Jul 2023 → 12 Jul 2023Activity: Visiting an external institution › Academic
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AGGITatE 2023: Algebras, Groups, Geometry, Invariants and related Topics at Essex
Michael Bate (Invited speaker)
19 Jun 2023 → 21 Jun 2023Activity: Participating in or organising an event › Conference