Zero-Dimensional Symmetry

Closing Date: 31 January 2022Apply Now

PhD Scholarship

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.

PhD Scholarship details

Funding: 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

Supervisor: Dr Stephan Tornier

Available to: Domestic and International students


Eligibility Criteria

Essential qualifications:

  • 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

Desirable qualifications:

  • Demonstrated skills in (topological) group theory, computational algebra, graph theory and combinatorics.
  • Programming skills

Application Procedure

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 by 5pm on 31 January 2022.

Applications Close 31 January 2022 Apply Now

Contact Dr Stephan Tornier
Phone +61 2 4921 6280

PhD and Research MastersFind out more

The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.