Research Associate at the University of Bath
Contact Information
Email: mw2915@bath.ac.uk
Research Interests
My research focuses on the representation theory of Lie algebras and algebraic groups over fields of all characteristics, and the use of tools from category theory, combinatorics, algebraic geometry and symplectic geometry to understand it.
Grant Portfolio
2021-2024
Research Fellowship
Royal Commission for the Exhibition of 1851
Project: Simple representations of modular Lie algebras
2023
LMS Research School
London Mathematical Society
Event: Algebraic Groups and Their Representations
2022
Small Grants Scheme
Heilbronn Institute for Mathematical Research
Event: Future Directions in Algebraic Groups and Lie Algebras in the UK 2022
Career History
2025 - Present: Research Associate in Representation Theory, University of Bath
2024 - 2025: Research Fellow in Pure Mathematics, University of Bath
2021-2024: Royal Commission for the Exhibition of 1851 Research Fellow, University of Birmingham
2020-2021: Research Fellow in Representation Theory, University of Birmingham
Publications and Preprints
M. Westaway, Two problems in the representation theory of reduced enveloping algebras, arXiv:2409.17784. Preprint.
M. Westaway, Birational induction of nilpotent orbit covers in exceptional types, arXiv:2312.01838. Preprint.
S. M. Goodwin, L. Topley, M. Westaway, On induced completely prime primitive ideals in enveloping algebras of classical Lie algebras, arXiv:2311.10603. Preprint.
M. Westaway, Tilting modules and highest weight theory for reduced enveloping algebras, arXiv:2308.12768. Preprint.
M. Westaway, A note on Humphreys’ conjecture on blocks, Algebr. Represent. Theory (2022).
M. Westaway, On graded representations of modular Lie algebras over commutative algebras, J. Pure Appl. Algebra, 226 (2022), Paper No. 107033, 52pp.
D. Rumynin, M. Westaway, Centrification of algebras and Hopf algebras, Canad. Math. Bull., 65 (2022), 155-169.
M. Westaway, Higher deformations of Lie algebra representations II, Nagoya Math. J., 244 (2021), 232-255.
M. Westaway, Higher deformations of Lie algebra representations I, J. Math. Soc. Japan, 73 (2021), 221-261.
D. Rumynin, M. Westaway, Integration of modules II: exponentials, Trans. Amer. Math. Soc., 374 (2021), 6797-6813.
D. Rumynin, D. Vakhrameev, M. Westaway, Covering groups of nonconnected topological groups and 2-groups, Communications in Algebra, 47 (2019), 5207-5217.
D. Rumynin, M. Westaway, Integration of modules I: stability, Pacific J. Math., 301 (2019), 575-600.
M. Westaway, K2 of Kac-Moody groups, Journal of Algebra, 484 (2017), 1-22.
Event Organisation
24th - 28th July 2023: Algebraic Groups and Their Representations, LMS Research School, University of Birmingham
2022-2023: Algebra Seminar, University of Birmingham
11th - 13th April 2022: Future Directions in Algebraic Groups and Lie Algebras in the UK, University of Birmingham
Spring 2021: Working Group on Lie Theoretic Representation Theory, University of Birmingham
Spring 2018: Reading Seminar on Algebraic Groups, University of Warwick