Rachel Pengelly

About me

I am a research fellow in the algebra group at the University of Manchester Department of Mathematics. 

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.

Contact details

Email: rachel.pengelly@manchester.ac.uk

Publications

Monogamous subvarieties of the nilpotent cone,

with Simon M. Goodwin, David I. Stewart, Adam R. Thomas

Pacific Journal of Mathematics (2025)

arXiv (2024)

Unicity of A1-subgroups associated to unipotent elements in simple algebraic groups

with Donna M. Testerman

Proceedings of the American Mathematical Society, Series B (2025)

arXiv (2023) 

On sl2-Triples for Classical Algebraic Groups in Positive Characteristic,

with Simon M. Goodwin,

Transformation Groups (2022)

CV

A copy of my CV can be found here.

More

I recently organised a three day meeting on "Advances in G-complete reducibility", held at the University of Manchester from 28th-30th August 2024. 

Since October 2024 I have been co-organising the HIMR postdoc seminar at the University of Manchester with Veronica Kelsey.

Sudoku

In my spare time I love to both solve and create sudokus. You can have a go at the puzzle I'm proudest of here!

Some other (slightly easier!) puzzles can be found here and here.