Minimal surfaces in Riemannian manifolds


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.