The following Research Articles Are Either Accepted Or Submitted:
Serhii Bardyla, Luna Elliott, James Mitchell, Yann P?resse. Classifying the Polish semigroup topologies on the symmetric inverse monoid, 2024
Luna Elliott, Alex Levine, James Mitchell. E-disjunctive inverse semigroups, 2024
de Witt, Bill, and Luke Elliott. Finite Presentability of Brin-Higman-Thompson Monoids via Free J'onsson-Tarski Algebras, 2023
Bardyla, S., Elliott, L., Mitchell, J. D., & Peresse, Y, Topological embeddings into transformation monoids, 2023
Elliott, L., A. Levine, and James David Mitchell. Counting monogenic monoids and inverse monoids, 2023, Accepted by Communications in Algebra
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
J. Belk, L. Elliott, and F. Matucci. A short proof of Rubin’s theorem, 2022, Accepted by Israel Journal of Mathematics
L. Elliott. Unindexed subshifts of finite type and their connection to automorphisms of Thompson’s groups, 2021
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
L. Elliott. A description of Aut(dVn) and Out(dVn) using transducers, 2020, Published in GGD
C. Bleak, L. Elliott, and J. Hyde. Sufficient conditions for a group of homeomorphisms of the cantor set to be two-generated, 2020, accepted by Journal of the Institute of Mathematics of Jussieu
Master’s Thesis
Infinite Symmetric Groups
PhD Thesis
On constructing topology from algebra
