Research output per year
Research output per year
Prof
Accepting PhD Students
PhD projects
Algebraic Groups, Representation Theory, Geometric Invariant Theory, Random Walks on Algebraic Structures
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.
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Bowman-Scargill, C., Geranios, H. & Bate, M.
1/09/24 → 31/08/25
Project: Other project › Miscellaneous project
Bate, M. (Co-investigator), Röhrle, G. (Principal investigator) & Martin, B. (Co-investigator)
1/04/22 → 31/03/25
Project: Other project › Research collaboration
Bowman-Scargill, C. (Principal investigator), Geranios, H. (Co-investigator), Bate, M. (Co-investigator) & De Visscher, M. (Co-investigator)
7/07/25 → 1/08/25
Project: Research project (funded) › Research
Bate, M. (Invited speaker)
Activity: Talk or presentation › Invited talk
Bate, M. (Visitor)
Activity: Visiting an external institution › Academic
Bate, M. (Visitor), Röhrle, G. (Collaborator) & Martin, B. (Collaborator)
Activity: Visiting an external institution › Academic