Staff Profile
Dr David Stewart
Lecturer in Pure Mathematics
- Email: david.stewart@ncl.ac.uk
- Telephone: +44 (0) 191 208 8277
- Address: School of Maths and Stats
Herschel Building
Newcastle
NE1 7RU
Background
I, David Stewart, am a Lecturer in Pure Mathematics. My research is concentrated in various aspects of Lie theory, including: subgroup structure of algebraic groups, representation and cohomology theory of algebraic groups, and subalgebra structure of modular Lie algebras.
Teaching
I currently manage the course MAS2213/3213, Algebra.
Publications
- Premet A, Stewart DI. Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic. Journal of the Institute of Mathematics of Jussieu 2018, 17(3), 583-613.
- Bendel CP, Nakano DK, Parshall BJ, Pillen C, Scott LL, Stewart DI. Bounding cohomology for finite groups and Frobenius kernels. Algebras and Representation Theory 2015, 18(3), 739-760.
- Parker AE, Stewart DI. Stabilisation of the LHS spectral sequence for algebraic groups. Journal of Lie Theory 2015, 25(3), 807-813.
- Parker AE, Stewart DI. First cohomology groups for finite groups of Lie type in defining characteristic. Bulletin London Mathematical Society 2014, 46(2), 227-238.
- Stewart DI. Non-G-completely reducible subgroups of the exceptional algebraic groups. International Mathematics Research Notices 2014, 2014(22), 6053-6078.
- Parshall BJ, Scott LL, Stewart DI. Shifted generic cohomology. Compositio Mathematica 2013, 149(10), 1765-1788.
- Stewart DI. On unipotent G-groups and 1-cohomology. Trans AMS 2013.
- Stewart DI. The reductive subgroups of F4. Mem AMS 2013.
- Stewart DI. The second cohomology of simple SL 3-modules. Communications in Algebra 2012, 40(12), 4702-4716.
- Stewart DI. Unbounding Ext. J Algebra 2012.
- Stewart DI. The reductive subgroups of G2. 2010.
- Stewart DI. The second cohomology of simple SL_2-modules. Proc AMS 2010.
- Babinski A, Stewart D. Levi decomposition of nilpotent centralisers in classical groups. Journal of Pure and Applied Algebra 2018, 222(8), 2001-2005.
- Stewart DI, Thomas AR. The Jacobson--Morozov theorem and complete reducibility of Lie subalgebras. Proceedings of the London Mathematical Society 2018, 116(1), 68-100.
- Herpel S, Stewart DI. Maximal subalgebras of Cartan type in the exceptional Lie algebras. Selecta Mathematica 2016, 22(2), 765-799.
- Stewart DI. On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilisers. LMS Journal of Computation and Mathematics 2016, 19(01), 235-258.
- Herpel S, Stewart DI. On the Smoothness of Normalisers,the Subalgebra Structure of Modular Lie Algebras, and the Cohomology of Small Representations. Documenta Mathematica 2016, 21, 1-37.