Symmetry is a fundamental organising principle in mathematics and human endeavour. This project aims to advance our knowledge of zero-dimensional symmetry, a frontier in symmetry research, by developing new theoretical and computational tools.
Specifically, this project aims to advance the understanding of closed vertex-transitive groups acting on trees towards a classification using finite combinatorial structures and an implementation thereof. Potential research directions include the study of k-closed groups acting on trees, the Weiss conjecture, self-similar groups, and the development of computational tools.
- Masters or First Class Honours in mathematics, or equivalent Excellent written and oral communication skills in English.
Demonstrated skills required:
- Organisational and time management skills,
- Problem solving ability and analytical skills
- Ability to work independently and collaboratively
- Demonstrated skills in (topological) group theory, computational algebra, graph theory and combinatorics.
- Programming skills
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An ARC PhD stipend at the 2021 indexed rate of $28,597 p.a. is available for up to 3.5 years. A tuition fee waiver is available for 4 years. The stipend also includes up to $1,500 relocation allowance and Overseas Student Health Cover at single rate, for an international candidate. The scholarship will be offered to the successful candidate subject to the grant/funding being fully established
Interested applicants should send an email expressing their interest along with scanned copies of their academic transcripts, CV, a brief statement of their research interests and a proposal that specifically links them to the research project.
Please send the email expressing interest to Stephan.Tornier@newcastle.edu.au by 5pm on 30 November 2021.