Ellen Hammatt: Research

(With Goh, Koh, Ng) Comparing variants of Ramsey’s theorem using uniform reducibilities. Submitted
(With Koh) A sufficient condition for the density of the punctual degrees. Submitted
Structures of Finite Punctual Dimension n>2. Submitted
(with Dorzhieva) Lattice Embeddings and Punctual Linear Orders. The Journal of Symbolic Logic (2025) https://doi.org/10.1017/jsl.2025.10106.
(with Melnikov, Ng, Turetsky) A Pathalogical Punctually 1-Decidable Structure. Proceedings of the American Mathematical Society (2025) https://doi.org/10.1090/proc/17329.
Structures of Finite Punctual Dimension n>2. In: Levy Patey, L., Pimentel, E., Galeotti, L., Manea, F. (eds) Twenty Years of Theoretical and Practical Synergies. CiE 2024. Lecture Notes in Computer Science, vol 14773. Springer, Cham. https://doi.org/10.1007/978-3-031-64309-5_15.
(with Dorzhieva, Downey, Melnikov, Ng) Punctually Presented Structures II: Comparing Presentations. Archive for Mathematical Logic (2024) https://doi.org/10.1007/s00153-024-00940-7.
(with Downey and Greenberg) A Hierarchy of Computably Enumerable Degrees II: Some Recent Developments and New Directions. New Zealand Journal of Mathematics, 52, 175–231. (2022) https://doi.org/10.53733/133.

Punctual linear orders, equivalence relations and ceers . Bulletin of Symbolic Logic. (2026) https://doi.org/10.1017/bsl.2026.10155.

Laboratoire Bordelais de Recherche en Informatique (LaBRI), Bordeaux (2 months) (April 2025)
National University of Singapore, Singapore (2 weeks) (October 2025)

Computability in Europe, Lisbon, Portugal, July 2025
Computability, Complexity and Randomness, Bordeaux, France, June 2025
Joint meeting of the NZMS, AustMS and AMS, Auckland, New Zealand, December 2024
Computability in Europe, Amsterdam, Netherlands, July 2024
Logic Colloquium, European Summer Meeting of the Association for Symbolic Logic, Gothenburg, Sweden, June 2024
Computability, Complexity and Randomness, Nagoya, Japan, March 2024
Computability, Complexity and Randomness, Kochel am See, Germany, July 2023
Australian Mathematical Society 66th Annual Meeting, Sydney, Australia, December 2022
New Zealand Mathematics and Statistics Postgraduate Conference, Wānaka, New Zealand, November 2022

New Zealand Mathematics Society Colloquium, Wellington, New Zealand, December 2023
New Zealand Mathematics Research Institute 2023 Summer Meeting (Groups, Geometry and Dynamics), Nelson, New Zealand, January 2023
New Zealand Mathematics Research Institute 2022 Summer Meeting, Akaroa, New Zealand, January 2022