Publications

Below is my current list of publications. Please feel free to contact me if you have any questions.

Projects in progress
8. (with M. Ferov) Edge colourings of infinite graphs and their relations with groups and formal languages.
7. Admissible representations of groups with a BN-pair.

In preparation
6. Weighted L^p algebras on locally elliptic locally compact groups,
Journal article.
5. (with P.-E. Caprace) Representations of torsion locally compact contraction groups,
Journal article.

Preprints
4. On the unitary representation theory of locally compact contraction groups,
Journal article. arXiv.

Published journal articles
3. (with G. Willis) Homomorphic images of locally compact groups acting on trees and buildings,
Monatshefte für Mathematik, 200,(2023), 507-522. MM arXiv.
2. (with G. Willis) Decomposition theorems for automorphism groups of trees,
Bulletin of the Australian Mathematical Society, 103(1), (2021), 104-112. arXiv BAMS.
1. (with S. Tornier and G. Willis) On free products of graphs,
Australasian Journal of Combinatorics, 78(1), (2020), 154-176. AJC arXiv.

Other articles
iii. On the unitary representation theory of contraction groups,
Master of Philosophy thesis, The University of Newcastle. Accepted in November 2023. To appear soon.
ii. Two properties of totally disconnected locally compact groups,
Honours thesis, The University of Newcastle, 2020. Available here.
i. Report on Free products of graphs for AMSI Vacation Research Scholarship.
Details of the scholarship and project, along with the report, can be found at the following website: https://vrs.amsi.org.au/student-profile-max-carter/.