Effective equation solving, constraints and growth in virtually abelian groups, with Laura Ciobanu and Alex Levine [SIAM J. Appl. Algebra Geom. 9 (2025), no. 1, 235–260] [arXiv]
Conjugacy Class Growth in Virtually Abelian Groups, with Aram Dermenjian [J. Groups Complex. Cryptol. 17 (2025), no. 1, Paper No. 1, 14 pp.] [arXiv]
Rational sets in virtually abelian groups: languages and growth, with Laura Ciobanu [L'Enseignement Mathématique (2024)] [arXiv]
Solving equations in the solvable Baumslag-Solitar groups using EDT0L systems, with Andrew Duncan, Derek F. Holt, and Sarah Rees [Journal of Algebra 630 (2023) 434-456] [arXiv]
Conjugacy growth in the higher Heisenberg groups [Glasgow Mathematical Journal, 65(S1), S148-S169] [arXiv]
Equations in virtually abelian groups: languages and growth, with Alex Levine [Internat. J. Algebra Comput. 32, no. 3, 411-442 (2022) ] [arXiv]
The conjugacy growth of the soluble Baumslag-Solitar groups, with Laura Ciobanu and Turbo Ho [New York J. Math. 26 (2020)] [arXiv]
Rational growth in virtually abelian groups [Illinois J. Math. 63 (2019), no. 4, 513-549] [arXiv]
On groups with EDT0L word problem, with Alex Bishop, Murray Elder, Paul Gallot, and Alex Levine [arXiv]
Twisted conjugacy growth series of virtually abelian groups, with Maarten Lathouwers [arXiv] (to appear in the Bulletin of the London Mathematical Society)
I taught a graduate mini-course on "Groups and Formal Languages" in the spring of 2023 (at the University of Manchester), and again in the spring of 2024. The notes can be found here. If you spot a mistake, do let me know!
You can find my PhD thesis here, or here.
I wrote a microthesis for the November 2018 edition of the newsletter of the London Mathematical Society.