Projects per year
Personal profile
Biography
I am a lecturer in the School of Mathematics at the University of East Anglia. My research focuses on the representation theory of the symmetric groups and related algebras.
Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.
Career
- · PhD in mathematics, Imperial College, London, 2003.
- · Postdoctoral Fellow, University of Sydney, 2003-2004.
- · Sesqui postdoctoral Fellow, University of Sydney, 2004-2006.
- · Lecturer in mathematics, University of East Anglia, 2007 - present.
Key Research Interests
My research focuses on the representation theory of the symmetric groups and related algebras. These algebras include the Hecke algebras of type A, the Ariki-Koike algebras and the (cyclotomic) q-Schur algebras.
Research Keywords:
Research Supervision
Research Keywords:
| Symmetric groups | Hecke algebras |
| Cyclotomic quiver Hecke algebras | Specht modules |
| Representations of symmetric groups and related algebras |
| Representations of cyclotomic quiver Hecke algebras (Khovanov-Lauda-Rouquier algebras) |
Key Responsibilities
MTH Director of Employability
Year in Industry co-ordinator / Placements Director
Chair of the Maths Employer Advisory Panel
Member of the MTH Executive Team
Projects
- 4 Finished
-
London Mathematical Society Emmy Noether Fellowship for 2 research visits
London Mathematical Society (The)
1/01/22 → 30/09/22
Project: Research
-
Support of collaborative research with Professor P. Martin at Leeds
London Mathematical Society (The)
1/11/19 → 30/11/19
Project: Research
-
Representations of cyclotomic Hecke algebras
Engineering and Physical Sciences Research Council
13/09/10 → 12/12/12
Project: Research
Research output
- 21 Article
-
Core blocks for Hecke algebras of type B and sign sequences
Lyle, S., Mar 2024, In: Communications in Algebra. 52, 5, p. 1965-1981 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Downloads (Pure) -
Decomposition numbers for Rouquier blocks of Ariki-Koike algebras I
Lyle, S., 12 Mar 2024, (E-pub ahead of print) In: Journal of Combinatorial Algebra.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Downloads (Pure) -
Schurian-finiteness of blocks of type A Hecke algebras
Ariki, S., Lyle, S. & Speyer, L., Dec 2023, In: Journal of the London Mathematical Society-Second Series. 108, 6, p. 2333-2376 44 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)4 Downloads (Pure) -
On bases of some simple modules of symmetric groups and Hecke algebras
de Boeck, M., Evseev, A., Lyle, S. & Speyer, L., Sep 2018, In: Transformation Groups. 23, 3, p. 631–669 39 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Citations (Scopus)39 Downloads (Pure) -
Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight
Lyle, S. & Ruff, O., Jun 2016, In: Journal of Pure and Applied Algebra. 220, 6, p. 2112-2142 31 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)26 Downloads (Pure)