Department of Mathematics
UCL, Gower Street, London, WC1E 6BT
The group is part of the UCL Mathematics Department. We have seven permanent faculty members, a postdoc and three PhD students. We have a weekly geometry seminar joint with the King's College Geometry Group. The PhD students also run a junior geometry seminar.
Our research interests include differential geometry and geometric analysis, symplectic and contact geometry, low-dimensional topology and geometric group theory.
News
- New postdoctoral opening: Applications are invited for a Postdoctoral Research Associate to work with Dr Chris Wendl on the project "Intersections in Low-Dimensional Symplectic Field Theory", funded by a grant from the Leverhulme Trust. The project focuses on the theory and applications of pseudoholomorphic curves in 4-dimensional symplectic topology and 3-dimensional contact topology. Closing date: 26 May 2013.
- 31.05.2013 - UCL Geometry and Topology Day III (Geometric Analysis), with speakers Felix Schulze (UCL), Tobias Lamm (Karlsruhe), Peter Topping (Warwick). Supported by the London Mathematical Society.
The picture shows the level sets of a Morse function on the torus, courtesy of Wikipedia. Morse theory is a way of studying spaces by looking at the dynamics of gradient flows on them. An infinite-dimensional version, known as Floer theory is behind some of the powerful recent advances in symplectic topology and low-dimensional topology.