Below is my current list of publications. Please feel free to contact me if you have any questions.
Projects in progress
| 8. | Admissible representations of groups with a BN-pair. |
| 7. | (with P.-E. Caprace) Representations of torsion locally compact contraction groups,
Journal article. |
In preparation
| 6. | (with M. Ferov) Edge colourings of infinite graphs and their relations with groups and formal languages,
Journal article. |
| 5. | Weighted L^p-algebras on locally elliptic groups,
Journal article. |
Published journal articles
| 4. | On the unitary representation theory of locally compact contraction groups,
To appear in the Journal of Lie Theory.
arXiv.
|
| 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. Available here. |
| 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/. |
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