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- Reader in Mathematics
- Dept of Mathematics
- Faculty of Maths & Physical Sciences
I work on differential geometry, with a particular focus on manifolds with special holonomy, their calibrated submanifolds, and related geometries. I am also interested in geometric flows, including Lagrangian mean curvature flow, and instantons. I mainly use methods from geometric analysis and exterior differential systems, which have applications throughout geometry and other areas in mathematics.
The geometries I study are important from the mathematical point of view because of their special nature, their connections with Einstein metrics and gauge theory, and also their relations with the familiar and well-studied theories of minimal submanifolds and complex geometry. Moreover, the objects I investigate are of potential importance in high-energy theoretical physics, appearing in a number of papers on String Theory and M-Theory.
I have designed and taught a 4th year course on Riemannian Geometry and will be designing and teaching a new 2nd year course on Geometry and Groups.
I have supervised 4th year projects and co-supervised PhD students.
|2006||DPhil||Doctor of Philosophy||University of Oxford|
|2002||MMath||Master of Mathematics||University of Oxford|