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.
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.