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.
Network
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Research output
- 24 Article
-
Overgroups of regular unipotent elements in reductive groups
Bate, M., Martin, B. & Roehrle, G., 24 Feb 2022, In: Forum of Mathematics, Sigma. 10, e13, 13 p.Research 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
-
New perspectives on Buildings, Geometric Invariant Theory and Algebraic Groups
1/02/14 → 31/01/17
Project: Research project (funded) › Research
-
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
-
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
-
Oberwolfach Seminar 2223b: G-Complete Reducibility, Geometric Invariant Theory and Spherical Buildings
Michael Bate (Organiser)
5 Jun 2022 → 11 Jun 2022Activity: Participating in or organising an event › Seminar/workshop/course
-
Future Directions in Algebraic Groups and Lie Algebras in the UK
Michael Bate (Invited speaker)
11 Apr 2022 → 13 Apr 2022Activity: Participating in or organising an event › Conference participation
-
Journées du GDR TLAG
Michael Bate (Invited speaker)
16 May 2018 → 18 May 2018Activity: Participating in or organising an event › Conference participation