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Dr Jason Lotay
605
Department of Mathematics
25 Gordon Street
London
WC1H 0AY
Appointment
- Lecturer
- Dept of Mathematics
- Faculty of Maths & Physical Sciences
Joined UCL
01/04/2011
Research Groups
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See LessResearch Summary
I work on differential geometry, with a particular focus on 7 and 8-dimensional Riemannian manifolds with exceptional holonomy, their calibrated submanifolds, and related geometries. I am also interested in Lagrangian mean curvature flow. 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 both because of their special nature, since they can only occur in certain dimensions and are connected with Einstein metrics and gauge theory, and also because they are related to 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.
The geometries I study are important from the mathematical point of view both because of their special nature, since they can only occur in certain dimensions and are connected with Einstein metrics and gauge theory, and also because they are related to 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.
Teaching Summary
I have designed and taught a 4th year course on Riemannian Geometry.
I will be supervising a 4th year project and I have co-supervised a PhD student.
Academic Background
| 2006 | DPhil | Doctor of Philosophy | University of Oxford |
| 2002 | MMath | Master of Mathematics | University of Oxford |
