Teaching Responsibilities 2020/21:
Term 2: MA453 Lie Algebras
Research Interests: Algebraic groups, Lie algebras, finite groups of Lie type, representation theory
Lecture Notes: See Moodle for all teaching material
Most relevant recent publications:
The classification of extremely primitive groups, with T. C. Burness, to appear in Int. Math. Res. Not.
The irreducible subgroups of exceptional algebraic groups, Mem. Amer. Math. Soc. 268 (2020), no. 1307
Reducible subgroups of exceptional algebraic groups, with A. J. Litterick, J. Pure Appl. Algebra 223 (2019), 2489-2529
The Jacobson-Morozov theorem and complete reducibility of Lie subalgebras, with D. I. Stewart, Proc. Lond. Math. Soc. 116 (2018), 68-100.
Complete reducibility in good characteristic, with A. J. Litterick, Trans. Amer. Math. Soc. 370 (2018), 5279-5340.
Simple irreducible subgroups of exceptional algebraic groups, J. Algebra 423 (2015), 190-238.
Personal Homepage: https://sites.google.com/view/adamrthomas/home