nonlinear waves and solitons (integrable and nonintegrable models, classical and quantum systems),
computer algebra and algebraic geometry.
Numerical analysis of PDEs
I have been at Heriot-Watt since 1973, except for a year spent at the Center for Nonlinear Studies, Los Alamos National Laboratory, New Mexico.
During my time at Heriot-Watt, I served as Head of Department for 5 years and Dean of Science for 3 years. My current research interests are in the study of solitons, both in the numerical study of solitons on lattices, and the use of computer algebra to study exact periodic and quasiperiodic solutions of soliton and soliton-related problems in mathematical physics.