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 Ī±-balanced Polish groups, with Aristotelis Panagiotopoulos.
    Accepted, Journal of the European Mathematical Society, 2026.
    arXiv:2406.06082
  2. Countable treeable Borel equivalence relations are classifiable by ā„“ā‚.
    Advances in Mathematics, 2025.
    arXiv:2305.01049
  3. Classification strength of Polish groups: Involving Sāˆž.
    Accepted, Journal of Mathematical Logic, 2026.
    arXiv:2304.00139
  4. Actions of tame abelian product groups, with Assaf Shani.
    Journal of Mathematical Logic, 2023.
    arXiv:2105.05144
  5. Dynamical obstructions for classification by (co)homology and other TSI-group invariants, with Aristotelis Panagiotopoulos.
    Transactions of the American Mathematical Society, 2021.
    arXiv:2004.07409
  6. Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum.
    Submitted, 2020.
    arXiv:2010.05085