UCL Geometry and Topology Group

Department of Mathematics

UCL, Gower Street, London, WC1E 6BT

The group is part of the UCL Mathematics Department. We have eight permanent faculty members, two postdocs and a number of 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.

If you are interested in joining our group, as a postdoc, see here for advertised positions.

If you are interested in coming to London as a PhD student in geometry, you might be interested in the London School of Geometry and Number Theory (LSGNT) of which we are part.

- The next meeting of the Brussels-London geometry seminar will be on Tuesday, 25 February, with talks by Rahul Pandharipande, Ivan Smith and Jean-Yves Welschinger.
- We are part of a EPSRC Centre for Doctoral Training: the London School of Geometry and Number Theory (joint with KCL and Imperial). This offers a four-year PhD program: you can find out more at lsgnt.org.

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.