Research
My main interest of research is in group theory, mostly finite groups. I have a particular interest in permutation groups, as well as some related structures in combinatorics (e.g. transitive graphs). I'm also interested in finite simple groups, especially their subgroup structures and conjugacy classes.
My Erdős number is 3 with a unique geodesic H.Y. Huang -- T.C. Burness -- Á. Seress -- P. Erdős.
In 2022, I participated in the Simple groups, representations and applications programme at the Isaac Newton Institute in Cambridge. A brief description of my research on base-two primitive groups and their Saxl graphs up to that time can be found in my poster for this programme.
Articles and preprints
- On valency problems of Saxl graphs
joint with J. Chen
Journal of Group Theory 25 (2022), 543-577
arXiv:2012.13747 | doi: 10.1515/jgth-2021-0123 | MathSciNet: MR4415978
- On the Saxl graphs of primitive groups with soluble stabilisers
joint with T.C. Burness
Algebraic Combinatorics 5 (2022), 1053-1087
arXiv:2105.11861 | doi: 10.5802/alco.238 | MathSciNet: MR4511160
- On base sizes for primitive groups of product type
joint with T.C. Burness
Journal of Pure and Applied Algebra 227 (2023), Paper No. 107228, 43 pp.
arXiv:2202.02816 | doi: 10.1016/j.jpaa.2022.107228 | MathSciNet: MR4478370
- Base sizes of primitive groups of diagonal type
37 pages, submitted
arXiv:2303.14290
Thesis
- On valency problems of Saxl graphs of almost simple primitive groups with soluble stabiliser (pdf)
Supervisor: Professor Cai Heng Li
Undergraduate thesis, SUSTech (2020)