Integrable systems & mathematical physics

Our research covers classical and quantum integrable systems as well as related topics in algebra and geometry. Broadly speaking, integrable systems often involve nonlinear equations but despite this allow for exact solutions.

Staff

Publications

Postgraduate research students

Integrable Systems and Mathematical Physics - Example Research Projects

Seminars

Integrable systems is a branch of mathematics which first came to prominence in the mid 1960s with the (mathematical) discovery of the soliton by Kruskal and Zabusky while studying dispersive shallow water waves. Broadly speaking the focus is on systems for which - despite their nonlinear behaviour - exact solutions can be derived. Today the field has come to embrace many different aspects of mathematical physics and is at the cross-roads with other modern branches of pure and applied mathematics.

Our group is one of the largest in the UK, is part of an LMS network on quantum and classical integrability and hosts its own series of international conferences, ISLAND. Staff members have a diverse range of interests including topics in algebra and geometry. We welcome applications by prospective PhD students; please see Postgraduate opportunities or see below for examples of possible projects, and for further information see how to apply.