Mr Max Carter

Mr Max Carter

Casual Academic

School of Information and Physical Sciences (Mathematics)

Career Summary

Biography

I am a research student at the University of Newcastle in Australia currently completing a Master of Philosophy 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 mathematical interests span throughout much of mathematics, though, my main research interests at the present time lie firmly in the fields of topological group theory, operator algebras and harmonic analysis. More specifically, I study locally compact groups, their representation theory and related operator algebraic structures.

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 20
490408 Operator algebras and functional analysis 40

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

Award

Year Award
2021 University Medal 2020
The University of Newcastle
2021 Faculty Medal 2020
Faculty of Science | University of Newcastle

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
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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For publications that are currently unpublished or in-press, details are shown in italics.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.

DOI 10.1017/S0004972720000465
Co-authors George Willis
2020 Carter M, Tornier S, Willis G, 'On free products of graphs', Australasian Journal of Combinatorics, 78 154-176 (2020) [C1]
Co-authors George Willis, Stephan Tornier

Thesis / Dissertation (1 outputs)

Year Citation Altmetrics Link
2020 Carter M, Two Properties of Totally Disconnected Locally Compact Groups, University of Newcastle (2020)
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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

The AMSI Vacation Research Scholarship is a competitive research scholarship awarded to undergraduate and postgraduate mathematics students in Australia to complete a summer research project with an academic in their field of research.

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
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Mr Max Carter

Position

Casual Academic
School of Information and Physical Sciences
College of Engineering, Science and Environment

Focus area

Mathematics

Contact Details

Email max.carter@newcastle.edu.au
Link Personal webpage

Office

Room SR-270
Building Social Sciences Building
Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
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