Below is a list of articles I’ve written.

The reductive subgroups of G2, J. Group Theory 13 (2010), no. 1, 117–130. arxiv

The second cohomology of the simple SL2-modules, Proc. Amer. Math. Soc. 138 (2010), no. 2, 427–434. arxiv

The second cohomology of the simple SL3-modules, Comm. Alg. 40 (2012), no. 12, 4702–4716. arxiv

Complete reducibility and the exceptional algebraic groups, Thesis, University of London

The reductive subgroups of F4, Mem. Amer. Math. Soc. 223 (2013), no. 1049, vi+88 pp. ISBN: 978-0-8218-8332-7

Unbounding Ext, J. Algebra 365 (2012), 1-11. arxiv

On unipotent algebraic G-groups and 1-cohomology, Trans. Amer. Math. Soc. 365 (2013), no. 12, 6343–6365. arxiv

(with B. Parshall and L. Scott) Shifted generic cohomology, Compositio Math., 149 (2013), 1765–1788. arxiv

Non-G-completely reducible subgroups of the exceptional groups, Int. Math. Res. Not. 22 (2014), 6053-6078. arxiv

On extensions for Ree groups of type F4, not intended for publication.

(with A. Parker) First cohomology groups for finite groups of Lie type in defining characteristic, Bull. Lond. Math. Soc., (2014) 46 (2): 227-238 arxiv.

(with C. Bendel, D. Nakano, B. Parshall, C. Pillen and L. Scott) Bounding extensions for finite groups and Frobenius kernels, Algebr. Represent. Theory 18 (2015), no. 3 739-760.

(with A. Parker) Stabilisation of the LHS spectral sequence, J. Lie Theory 25 (2015), no. 3, 807-813.

(with S. Herpel) Maximal subalgebras of Cartan type in the exceptional Lie algebras, Selecta Math, 22 (2016), no. 2, 765-799. arxiv

Erratum

(with S. Herpel) On the smoothness of normalisers, the subalgebra structure of modular Lie algebras and the cohomology of small representations, Doc. Math. 21 (2016), 1-37. arxiv

Erratum

(with A. Premet) Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic. J. Inst. Math. Jussieu (2016), (to appear).

(with A. Thomas) The Jacobson–Morozov theorem and complete reducibility of Lie subalgebras, submitted.

On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilisers, LMS J. Comp, to appear.

You can see a video of me giving a talk on some of my recent work on Lie algebras at a Banff conference here.