Minimal surfaces in Riemannian manifolds

Supervisor(s)

Contact Dr Ben Sharp to discuss this project further informally.

Project description

The study of minimal surfaces constitutes a central area of research in mathematics, with applications in both geometry and theoretical physics. These beautiful objects have inspired many new areas of research with a particular current focus on understanding the type of minimal surface admitted by a given ambient manifold, coupled with classifying those which are admitted. There are many starting points for a project in this general area, including the related fields of harmonic maps, constant-mean-curvature surfaces, Willmore surfaces, elliptic regularity theory and the spectral analysis of Schrödinger operators on Riemannian manifolds.

Entry requirements

Applications are invited from candidates with or expecting a minimum of a UK first class honours degree (1 st), and/or a Master's degree in mathematics or relevant subject. An applicant with a solid grounding in analysis and/or differential geometry would be well-suited to start working in any of these fields.

If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.

How to apply

Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section that the PhD you wish to be considered for is 'Minimal surfaces in Riemannian manifolds' as well as Dr Ben Sharp as your proposed supervisor.
 
We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.

If you require any further information please contact the Graduate School Office, e: maps.pgr.admissions@leeds.ac.uk