Adam Thomas Associate Professor Office: B2.24 Phone: +44 (0)2476 528325 Email: Adam dot R dot Thomas at warwick dot ac dot uk

Teaching Responsibilities 2024/25:

Term 1: MA453 Lie Algebras

Research Interests: Algebraic groups, Lie algebras, finite groups of Lie type, representation theory, topological aspects of Lie groups

Recent research grants: EPSRC New Investigator Award 1/5/2022 - 30/4/2025

Some recent publications:

• Complete reducibility in bad characteristic, with A. Litterick, submitted.

• The classical topological invariants of homogeneous spaces, with J. Jones and D. Rumynin, submitted.

• On extensions of the Jacobson-Morozov theorem to even characteristic, with D. Stewart, to appear in J. Lond. Math. Soc.

• Monogamous subvarieties of the nilpotent cone, with S. Goodwin, R. Pengelly and D. Stewart, to appear in special edition for Gary Seitz, Pacific J. Math.

• A New Maximal Subgroup of E₈ in Characteristic 3, with D. Craven and D. Stewart, Proc. Amer. Math. Soc. 150 (2022), 1435-1448.
• The classification of extremely primitive groups, with T. C. Burness, Int. Math. Res. Not. (2022), no. 13, 10148-10248.
• The irreducible subgroups of exceptional algebraic groups, Mem. Amer. Math. Soc. 268 (2021), no. 1307.
• The Jacobson-Morozov theorem and complete reducibility of Lie subalgebras, with D. Stewart, Proc. Lond. Math. Soc. 116 (2018), 68-100.
• Complete reducibility in good characteristic, with A. Litterick, Trans. Amer. Math. Soc. 370 (2018), 5279-5340.

Workshops/conferences/seminars: Algebra Seminar, AGGC: Algebraic Groups on the Grand Canal, Algebraic Lie Theory (INI Network) 

Personal Homepage: https://sites.google.com/view/adamrthomas/home