Complete reducibility in bad characteristic, with A. Thomas. To appear in Algebra and Number Theory. 41 pages. (ArXiv)
G-complete reducibility and saturation, with M. Bate, S. Böhm, B. Martin and G. Rörhle. Pacific Journal of Mathematics337 (2025), no. 1, pp. 1–24. (Publisher) (ArXiv)
Condorcet domains on at most seven alternatives, with D. Akello-Egwell, C. Leedham-Green, K. Markström and S. Riis. Mathematical Social Sciences133 (2025), pp. 23–33. (Publisher) (ArXiv)
Complete reducibility and subgroups of exceptional algebraic groups, with D. Stewart and A. Thomas. Groups St Andrews 2022, in Newcastle, pp. 191–245. Cambridge University Press, 2024. (Publisher) (ArXiv)
Elementary abelian subgroups: from algebraic groups to finite groups, with J. An and H. Dietrich. Transactions of the American Mathematical Society377 (2024), pp. 8335–8380. (Publisher) (ArXiv)
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An F4 example, with F. Bannuscher and T. Uchiyama. Journal of Group Theory25, no. 3 (2022), pp. 527–541. (Publisher) (ArXiv)
Complete reducibility: Variations on a theme of Serre, with M. Gruchot and G. Röhrle. Manuscripta Mathematica168 (2021), 439–451. (Publisher) (ArXiv)
Relative complete reducibility and normalised subgroups, with M. Gruchot and G. Röhrle. Forum of Mathematics, Sigma8 (2020), e30, 32 pp. (Publisher) (ArXiv)
On relative complete reducibility, with C. Attenborough, M. Bate, M. Gruchot and G. Röhrle. Quarterly Journal of Mathematics71, issue 1 (2020), pp. 324–334. (Publisher) (ArXiv)
Reducible subgroups of exceptional algebraic groups, with A. Thomas. Journal of Pure and Applied Algebra223, no. 6 (2019) pp. 2489–2529. (Publisher) (ArXiv)
Further rigid triples of classes in G2, with M. Conder. International Journal of Group Theory8, no. 1 (2019), pp. 5–9. (Publisher) (ArXiv)
On finite simple images of triangle groups, with S. Jambor and C. Marion. Israel Journal of Mathematics227, issue 1 (2018), pp. 131–162. (Publisher) (ArXiv)
Complete reducibility in good characteristic, with A. Thomas. Transactions of the American Mathematical Society370, no. 8 (2018) pp. 5279–5340. (Publisher) (ArXiv)
On non-generic finite simple subgroups of exceptional algebraic groups. Memoirs of the American Mathematical Society253, no 1207 (2018), vi+156 pp. (Publisher) (ArXiv)
A rigid triple of conjugacy classes in G2, with M. Liebeck and C. Marion. Journal of Group Theory14 (2011), pp. 31–35. (PDF) (Publisher)
Preprints
Capturing properties of planar diagrams in Lean proof assistant software, with A. Vernitski and B. Woods. Preprint, 12 pages. (ArXiv)
Rigid representations of triangle groups, with B. Martin. Preprint, 6 pages. (ArXiv)