Publications

Last updated 25/02/2025

Research Articles:

  1. Alex Levine, Luna Elliott. The Diophantine problem in Thompson’s group F, 2025

  2. Raad Al Kohli, Collin Bleak, Luna Elliott. On epiC groups over language class C, 2025

  3. Luna Elliott, Alex Levine, James D. Mitchell. Computing congruences of finite inverse semigroups, 2024 [Submitted to the Journal of the Australian Mathematical Society]

  4. Serhii Bardyla, Luna Elliott, James Mitchell, Yann P?resse. Classifying the Polish semigroup topologies on the symmetric inverse monoid, 2024 [Submitted to the Edinburgh Mathematical Society]

  5. Luna Elliott, Alex Levine, James Mitchell. E-disjunctive inverse semigroups, 2024 [Submitted to the Journal of Algebra]

  6. de Witt, Bill, and Luke Elliott. Finite Presentability of Brin-Higman-Thompson Monoids via Free J'onsson-Tarski Algebras, 2023

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

  8. Elliott, L., A. Levine, and James David Mitchell. Counting monogenic monoids and inverse monoids, 2023 Published in Communications in Algebra

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

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

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

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

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

  14. 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