Profile
Biography
I was an undergraduate at Monash University (Australia) and did my PhD at Imperial College, London. Before arriving at York I worked at the Universities of Cambridge, Newcastle, Bath and the University of Massachusetts at Amherst, USA.
Departmental roles
- Deputy Chair, Board of Studies
Research
Overview
I work on the differential geometry of surfaces, mostly with harmonic maps and minimal surfaces, using structures on vector bundles over surfaces.
Research group(s)
Geometry and Analysis Research Group
Available PhD research projects
While I have worked extensively with integrable systems methods in the past, my main current interest in understanding families of minimal surfaces in hyperbolic spaces, and the application of minimal surface theory to the problem of parametrising "good" representations of a surface group (fundamental group of a surface) into a non-compact simple Lie group. This involves studying minimal surfaces of genus at least 2 and their Higgs bundles.
Supervision
Current Research Students
Cordelia Webb - cw1953@york.ac.uk