Research papers.
Finite-dimensional pseudofinite groups of small dimension, without CFSG, joint with Frank O. Wagner. To appear in Confluentes Mathematici (2025). Arxiv.
Fixed point subgroups of a supertight automorphisms, Communications in Algebra, 53(3), 1170–1180. (2024). Arxiv.
Small groups of finite Morley rank with a supertight automorphism, joint with Pınar Uğurlu Kowalski. Journal of Algebra 647 (2024) 884-905. Arxiv.
A note on pseudofinite groups of finite centraliser dimension. Journal of Group Theory 25 (2022) 379-388. ArXiv.
Locally finite groups of finite centralizer dimension. Joint with Alexandre V. Borovik. Journal of Group Theory 22 (2019) 729–740. ArXiv.
Definably simple stable groups with finitary groups of automorphisms. Journal of Symbolic Logic 84 (2019), 704–712. ArXiv.
Preprints.
Primitive pseudo-finite permutation groups of finite SU-rank, joint with Nicholas Ramsey.
PhD thesis.
I obtained my PhD from the University of Manchester in Spring 2020. My supervisor was Alexandre Borovik. In my thesis, I proved a general theorem describing the structure of locally finite groups of finite centraliser dimension. Also, I proved the following two classifications:
Infinite definably simple locally finite groups of finite centraliser dimension are isomorphic to simple groups of Lie type over locally finite fields.
Infinite definably simple stable groups admitting a finitary automorphism group A (a group A of special kind of automorphisms which, in particular, have finite fixed point subgroups) are isomorphic to Chevalley groups over algebraically closed fields of positive characteristic.