Publications

In preparation:

10. (with J. White) Wiener's Tauberian theorem for groups with a Gelfand pair,

Journal article.

9. On admissible representations of groups with a BN-pair,

Journal article.

8. (with P.-E. Caprace) Representations of torsion locally compact contraction groups, 

Journal article.

7. (with M. Ferov) Spaces of proper edge colourings of graphs,

Journal article.

Preprints:

6. Weighted Orlicz *-algebras on locally elliptic groups, 

Journal article. 34 pages. arXiv.

Published journal articles:

5. The affine group of a local field is Hermitian, 

Archiv der Mathematik, 6 pages, published online 06/08/2025. Journal arXiv .

4. On the unitary representation theory of locally compact contraction groups, 

Journal of Lie Theory, 34(4), (2024), 911-956. Journal arXiv.

3. (with G. Willis) Homomorphic images of locally compact groups acting on trees and buildings, 

Monatshefte für Mathematik, 200, (2023), 507-522. Journal arXiv.

2. (with G. Willis) Decomposition theorems for automorphism groups of trees,

Bulletin of the Australian Mathematical Society, 103(1), (2021), 104-112. Journal arXiv. 

1. (with S. Tornier and G. Willis) On free products of graphs, 

Australasian Journal of Combinatorics, 78(1), (2020), 154-176. Journal 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 (PDF). 

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/.