Shaun Allison

I am a mathematician working in logic and descriptive set theory.

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Publications and Preprints

  1. The class and dynamics of α-balanced Polish groups, with Aristotelis Panagiotopoulos.
    Journal of the European Mathematical Society, 2026.
    doi:10.4171/JEMS/1798 · arXiv:2406.06082
  2. Countable Borel treeable equivalence relations are classifiable by ℓ₁.
    Advances in Mathematics 479, 2025.
    doi:10.1016/j.aim.2025.110452 · arXiv:2305.01049
  3. Classification strength of Polish groups: Involving S∞.
    Journal of Mathematical Logic, 2026.
    doi:10.1142/S0219061326500054 · arXiv:2304.00139
  4. Actions of tame abelian product groups, with Assaf Shani.
    Journal of Mathematical Logic 23(3), 2023.
    doi:10.1142/S0219061322500283 · arXiv:2105.05144
  5. Dynamical obstructions to classification by (co)homology and other TSI-group invariants, with Aristotelis Panagiotopoulos.
    Transactions of the American Mathematical Society 374, 2021.
    doi:10.1090/tran/8475 · arXiv:2004.07409
  6. Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum.
    Preprint, 2020.
    arXiv:2010.05085