Personal profile
Overview
I am interested in the study of Lie algebras and algebraic groups over fields of positive characteristic. My primary focus is on their subgroup and subalgebra structure and the connection with unipotent and nilpotent orbits. I am also interested in the property of G-complete reducibility.
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Collaborations and top research areas from the last five years
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Research output
- 3 Article
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Monogamous subvarieties of the nilpotent cone
Goodwin , S. M., Pengelly, R., Stewart, D. & Thomas, A. R., 26 May 2025, In: Pacific Journal of Mathematics. 336, p. 161–180Research output: Contribution to journal › Article › peer-review
Open Access -
UNICITY OF A1-SUBGROUPS ASSOCIATED TO UNIPOTENT ELEMENTS IN SIMPLE ALGEBRAIC GROUPS
Pengelly, R. & Testerman, D. M. T., 25 Apr 2025, In: Proceedings of the American Mathematical Society.Research output: Contribution to journal › Article › peer-review
Open Access -
On $\mathfrak {sl}_{2}$-Triples for Classical Algebraic Groups in Positive Characteristic
Goodwin, S. M. & Pengelly, R., Sept 2024, In: Transformation Groups.Research output: Contribution to journal › Article › peer-review
Open Access