Publications

Last updated 24/01/2026

Research Articles:

  1. L Elliott, The Zariski Topology on Homeomorphism groups, 2026

  2. S Bardyla, L Elliott, J Mitchell, Y Peresse. A note on intrinsic topologies of groups, 2025

  3. A Levine, L Elliott. The Diophantine problem in Thompson’s group F, 2025 Published in Mathematics of Computation

  4. R Al Kohli, C Bleak, L Elliott. On epiC groups over language class C, 2025

  5. L Elliott, A Levine, J Mitchell. Computing congruences of finite inverse semigroups, 2024

  6. S Bardyla, L Elliott, J Mitchell, Y Peresse. Classifying the Polish semigroup topologies on the symmetric inverse monoid, 2024 [Accepted by Proceedings of the Edinburgh Mathematical Society]

  7. L Elliott, A Levine, J Mitchell. E-disjunctive inverse semigroups, 2024 Published in Journal of Algebra

  8. B de Witt, and L Elliott. Finite Presentability of Brin-Higman-Thompson Monoids via Free J'onsson-Tarski Algebras, 2023

  9. S Bardyla, L Elliott, J Mitchell, Y Peresse, Topological embeddings into transformation monoids, 2023 Published in Forum Mathematicum

  10. L Elliott, A Levine, and J Mitchell. Counting monogenic monoids and inverse monoids, 2023 Published in Communications in Algebra

  11. L Elliott, J Jonusas, J Mitchell, Y Peresse, and M Pinsker. Polish topologies on endomorphism monoids of relational structures, 2022 Published in Advances in Mathematics

  12. J Belk, L Elliott, and F Matucci. A short proof of Rubin’s theorem, 2022 Published in Israel Journal of Mathematics

  13. L Elliott. Unindexed subshifts of finite type and their connection to automorphisms of Thompson’s groups, 2021

  14. L Elliott, J Jonusas, Z Mesyan, J Mitchell, M Morayne, and Y Peresse. Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones, 2021 Published in Transactions of the American Mathematical Society

  15. L Elliott. A description of Aut(dVn) and Out(dVn) using transducers, 2020 Publised in Groups, Geometry, and Dynamics

  16. C Bleak, L Elliott, and J Hyde, Sufficient conditions for a group of homeomorphisms of the cantor set to be two-generated, 2020 Published in Journal of the Institute of Mathematics of Jussieu

Master’s Thesis

Infinite Symmetric Groups

PhD Thesis

On constructing topology from algebra