Writing

Publications

• 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]

Preprints

• Conjugacy Class Growth in Virtually Abelian Groups, with Aram Dermenjian [arXiv]

• Effective equation solving, constraints and growth in virtually abelian groups, with Laura Ciobanu and Alex Levine [arXiv]

Notes

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!

Other

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.