Research

Publications, preprints, talks, and conference activity.

Published

  1. Profinite rigidity properties of central extensions of 2-orbifold groups
    Algebraic & Geometric Topology, 2026. · DOI: 10.2140/agt.2026.26.565
  2. Profinite rigidity for free-by-cyclic groups with centre
    Journal of the London Mathematical Society, 2025. Joint with Martin Bridson. · DOI: 10.1112/jlms.70181
  3. Solvable and non-solvable finite groups of the same order type
    Algebra and Number Theory, 2025. · DOI: 10.2140/ant.2025.19.1663
  4. Lack of profinite rigidity among extensions with free quotient
    Transactions of the American Mathematical Society, 2024. · DOI: 10.1090/tran/9268
  5. Exact count of boundary pieces for ReLU classifiers: towards the proper complexity measure for classification
    39th Conference on Uncertainty in Artificial Intelligence, 2023. Joint with Adam Klukowski and Hu Tianyang. · arXiv: 10.48550/arXiv.2306.08805
  6. Distinguishing crystallographic groups by their finite quotients
    Journal of Algebra, 2021. Joint with David Popović and Gareth Wilkes. · DOI: 10.1016/j.jalgebra.2020.06.033

Preprints

  1. Investigating transversals as generating sets for groups
    2019. Joint with Maurice Chiodo, Oscar Donlan and Robert Crumplin.

PhD Thesis

  1. Profinite rigidity of group extensions
    2025. University of Oxford. · ORA: uuid:6611cecc-46eb-4069-ba5f-0901c4e08306

Notes & miscellanea

  1. Group extensions and how to find them
    2023. Talk at Postgraduate Group Theory Conference, Edinburgh.
  2. Profinite rigidity and group extensions
    2023. Invited talk at Workshop on Profinite Rigidity, Madrid.
  3. Profinite rigidity and group extensions
    2023. Short talk at Finite and Residually-Finite Groups, Bilbao.
  4. Amenable groups and Banach-Tarski paradox
    2022. Essay for Infinite Groups.
  5. Paulin's rigidity for hyperbolic groups
    2020. Part III Essay.

Conferences

Past