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
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G-complete reducibility and saturation
Bate, M., Böhm, S., Litterick, A., Martin, B. & Röhrle, G., 2 Apr 2025, (Accepted/In press) In: Pacific Journal of Mathematics.Research output: Contribution to journal › Article › peer-review
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A construction of pseudo-reductive groups with non-reduced root systems
Bate, M., Röhrle, G., Sercombe, D. & Stewart, D., 24 Feb 2024, (E-pub ahead of print) In: Transformation Groups. 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On good A1 subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups
Bate, M., Böhm, S., Martin, B. & Röhrle, G., 21 Oct 2024, (Accepted/In press) In: Pacific Journal of Mathematics.Research output: Contribution to journal › Article › peer-review
Open AccessFile
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Isaac Newton Institute Satellite Programme "Geometrical and Categorical Lie Theory"
Bowman-Scargill, C. (Principal investigator), Geranios, H. (Co-investigator) & Bate, M. (Principal investigator)
1/09/24 → 31/08/25
Project: Other project › Miscellaneous project
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Newton Satellite Programme: Geometric and Categorial Lie theory
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
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Heilbronn small grant scheme "Diagrammatic intuition and deep learning in Mathematics"
Bowman-Scargill, C. (Principal investigator), Geranios, H. (Co-investigator), Everitt, B. (Co-investigator) & Bate, M. (Co-investigator)
31/01/24 → 31/01/25
Project: Other project › Miscellaneous project
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Algebraic Groups on the Grand Canal
Bate, M. (Invited speaker)
7 Apr 2025 → 11 Apr 2025Activity: Participating in or organising an event › Conference participation
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Aberdeen algebra seminar
Bate, M. (Invited speaker)
5 Feb 2025Activity: Talk or presentation › Invited talk
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Department of Mathematics, University of Aberdeen
Bate, M. (Visitor)
3 Feb 2025 → 6 Feb 2025Activity: Visiting an external institution › Academic