Integrable systems is a branch of mathematics which has a long history but first came to prominance in the mid 1960's with the (mathematical) discovery of the soliton by Kruskal and Zabusky in connection with a dispersive shallow water wave problem. Since then this field has come to embrace many different aspects of mathematical physics. In this department there is currently a group of six academic staff working on a range of different problems in this area. Details of these are given below.

Every four years we organise a conference, under the acronym ISLAND, concentrating on one or more aspects of integrable systems. The next meeting is ISLAND III in 2007.

We are part of the UK-wide network "Classical and Quantum Integrability", funded by the London Mathematical Society.

## Current research students

Sarah Croke, James Ferguson, Susan MacFarlane, Craig Sooman.

Details of the work of some former students is described here.