UCL Geometry and Topology Group
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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.

News


A Morse function on a torus.

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.