Shaun Allison

Email: [firstname].[lastname]@utoronto.ca

Research

I am a postdoctoral fellow at University of Toronto starting August 2022. I was previously a postdoctoral fellow at the Hebrew University of Jerusalem from July 2021 until July 2022. I received my PhD in mathematical sciences at Carnegie Mellon University in the summer of 2021, advised by Clinton Conley. Before that, I graduated with a BS in computer science as well as discrete mathematics and logic from Carnegie Mellon University in the summer of 2015 and spent a year working as a software engineer at Meta.

My work is mostly in descriptive set theory, particlarly in the Borel reducibility theory of definable equivalence relations.

Countable Borel treeable equivalence relations are classifiable by \ell_1 (Submitted)
Classification strength of Polish groups I: involving S_\infty (Submitted)
Actions of tame abelian product groups, with A. Shani (Journal of Mathematical Logic)
Dynamical obstructions for classification by (co)homology and other TSI-group invariants, with A. Panagiotopoulos (Transactions of the American Mathematical Society)
Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum (Submitted)

Teaching

Differential Equations I (Winter 2022, University of Toronto Mississauga)
Introduction to Mathematical Proofs (Fall 2022, University of Toronto Mississauga)
Concepts of Math (Summer I 2018, Carnegie Mellon University)