Mr Max Carter
Casual Academic
School of Mathematical and Physical Sciences (Mathematics)
Career Summary
Biography
I am a research student at the University of Newcastle in Australia currently completing my Master's degree in mathematics. I am supervised by Prof. George Willis and work with other members of the Zero-Dimensional Symmetry research group here in Newcastle.
My research interests lie firmly in the fields of group theory and functional analysis. More specifically, I'm interested in the study of locally compact groups, their representation theory and problems concerning operator algebras. I also have an interest in mathematical physics, and the ways in which my own research is connected to physics, such as through the study of Hopf algebras and non-commutative geometry.
For the most up to date information regarding my research and academic pursuits, including an up to date CV, please visit my webpage: https://max-carter-math.github.io/.
Qualifications
- Bachelor of Mathematics (Honours), University of Newcastle
Keywords
- Abstract harmonic analysis
- C*-algebras
- Functional analysis
- Representation theory
- Tits buildings
- Topological groups
- Totally disconnected locally compact groups
- Trees
- Unitary representation
- von-Neumann algebras
Languages
- English (Mother)
- German (Working)
Fields of Research
| Code | Description | Percentage |
|---|---|---|
| 490405 | Group theory and generalisations | 40 |
| 490406 | Lie groups, harmonic and Fourier analysis | 40 |
| 490408 | Operator algebras and functional analysis | 20 |
Professional Experience
Academic appointment
| Dates | Title | Organisation / Department |
|---|---|---|
| 1/6/2019 - 31/12/2019 | Casual Research Assistant | The University of Newcastle School of Mathematical and Physical Sciences Australia |
| 18/2/2019 - | Casual Academic | The University of Newcastle School of Mathematical and Physical Sciences Australia |
Awards
Prize
| Year | Award |
|---|---|
| 2020 |
Mathematics Prize in Level 3000 Mathematics School of Mathematical and Physical Sciences, The University of Newcastle |
| 2019 |
Ivan Lincoln Rose Prize in Applied Mathematics School of Mathematical and Physical Sciences, The University of Newcastle |
Publications
For publications that are currently unpublished or in-press, details are shown in italics.
Journal article (2 outputs)
| Year | Citation | Altmetrics | Link | |||||
|---|---|---|---|---|---|---|---|---|
| 2021 |
Carter M, Willis GA, 'Decomposition theorems for automorphism groups of trees', Bulletin of the Australian Mathematical Society, 103 104-112 (2021) [C1] Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, we enumerate double cosets of the group of label-preserving automorphisms of a label-... [more] Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, we enumerate double cosets of the group of label-preserving automorphisms of a label-regular tree over the fixator of an end of the tree and over maximal compact open subgroups. This enumeration is used to show that every continuous homomorphism from the automorphism group of a label-regular tree has closed range.
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| 2020 |
Carter M, Tornier S, Willis G, 'On free products of graphs', Australasian Journal of Combinatorics, 78 154-176 (2020) [C1]
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Thesis / Dissertation (1 outputs)
| Year | Citation | Altmetrics | Link |
|---|---|---|---|
| 2020 | Carter M, Two Properties of Totally Disconnected Locally Compact Groups, University of Newcastle (2020) |
Grants and Funding
Summary
| Number of grants | 3 |
|---|---|
| Total funding | $63,000 |
Click on a grant title below to expand the full details for that specific grant.
20211 grants / $57,000
Australian Government Research Training Program Scholarship$57,000
Funding body: The University of Newcastle
| Funding body | The University of Newcastle |
|---|---|
| Scheme | Postgraduate Research Scholarships |
| Role | Lead |
| Funding Start | 2021 |
| Funding Finish | 2023 |
| GNo | |
| Type Of Funding | Aust Competitive - Commonwealth |
| Category | 1CS |
| UON | N |
20191 grants / $3,000
Faculty of Science Summer Research Scholarship$3,000
Funding body: Faculty of Science | University of Newcastle
| Funding body | Faculty of Science | University of Newcastle |
|---|---|
| Scheme | Summer Research Scholarship |
| Role | Lead |
| Funding Start | 2019 |
| Funding Finish | 2020 |
| GNo | |
| Type Of Funding | Not Known |
| Category | UNKN |
| UON | N |
20181 grants / $3,000
AMSI Vacation Research Scholarship$3,000
Funding body: Australian Mathematical Sciences Institute
| Funding body | Australian Mathematical Sciences Institute |
|---|---|
| Scheme | Student Research |
| Role | Lead |
| Funding Start | 2018 |
| Funding Finish | 2019 |
| GNo | |
| Type Of Funding | Not Known |
| Category | UNKN |
| UON | N |
Mr Max Carter
Position
Casual Academic
School of Mathematical and Physical Sciences
College of Engineering, Science and Environment
Focus area
Mathematics
Contact Details
| max.carter@newcastle.edu.au | |
| Link | Personal webpage |
Office
| Room | SR270 |
|---|---|
| Building | Social Sciences Building |
| Location | Callaghan University Drive Callaghan, NSW 2308 Australia |
