Fully Nonlinear Geometric Flows

Closing Date: 31 July 2025 Apply Now

PhD Scholarship

Geometric flows describe geometries changing through heat flow and diffusion. The project will likely involve developing new fully nonlinear flows of submanifolds, with important applications in Riemannian geometry.

Mathematical formulas

Geometric flows describe geometries changing through heat flow and diffusion. They arise naturally in many fields, from phase change and tumbling stones to string theory, and provide new tools for understanding questions in geometry and physics.

This scholarship is part of an Australian Research Council Discovery Project that aims to develop techniques for the design and analysis of highly nonlinear geometric flows and apply them to understand long term behaviour of these processes.

The new methods will contribute to the theory of nonlinear partial differential equations, enable the application of geometric flows to resolve important geometric and topological questions, and produce new theoretical tools applicable to similar systems arising in areas such as image processing, finance and material science.

PhD Scholarship details

Funding: $37,440 per annum (2025 rate) indexed annually. For a PhD candidate, the living allowance scholarship and tuition fee scholarship are for 3.5 years. Scholarships also include up to $1,500 relocation allowance. The scholarship will be offered to the successful candidate subject to the grant/funding being fully established.

Supervisor: James McCoy

Available to: Domestic and International students

PhD

Eligibility Criteria

The applicant will need to meet the minimum eligibility criteria for admission.

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 James.McCoy@newcastle.edu.au by 5pm on 31 July 2025.

Applications Close 31 July 2025 Apply Now


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