I have devoted research effort to the broad area of applied mathematics, and specifically to the theoretical understanding of wave processes, since graduating in 1982 with a PhD in theoretical acoustics from Imperial College London. I have published over 100 articles in this period. I hold the Beyer Chair of Applied Mathematics at the University of Manchester, a position occupied from 1885-1923 by Sir Horace Lamb and then subsequently by Sydney Goldstein, Sir James Lighthill and Fritz Ursell amongst others. I have published extensively in the areas of acoustics, fluid/structural interactions, nondestructive evaluation, fracture mechanics, linear and nonlinear elasticity, composite materials modelling, electromagnetism, water waves, aero- and hydro-acoustics and seismology. In recent years my research has diversified somewhat to cover areas away from waves. For example, I have worked on mathematical finance, nonlinear viscoelasticity, melting of debris-covered glaciers, and entrapment of meteorites in Antarctic ice.

I have been particularly concerned over the years with the development of new, or extensions of existing, mathematical techniques and have had a number of successes in this direction, ranging from novel methods to solving matrix Wiener-Hopf systems to new homogenisation techniques for waves propagation through solid composites. I have become increasingly interested in the application of such methods to problems in physics and engineering, and now work actively with a range of industrial partners. At present these include Thales UK, Dyson and NNSP. In 2010 I set up the Waves in Complex Continua (WICC) Group at Manchester, with Will Parnell, in order to facilitate both the fundamental and applicable research work that we undertake. The WICC Group now consists of thirteen members.

Details of our Group’s current interests and activities can be found at the WICC website. If you are interested in my papers, then you can find them via my publications page.

I have been particularly concerned over the years with the development of new, or extensions of existing, mathematical techniques and have had a number of successes in this direction, ranging from novel methods to solving matrix Wiener-Hopf systems to new homogenisation techniques for waves propagation through solid composites. I have become increasingly interested in the application of such methods to problems in physics and engineering, and now work actively with a range of industrial partners. At present these include Thales UK, Dyson and NNSP. In 2010 I set up the Waves in Complex Continua (WICC) Group at Manchester, with Will Parnell, in order to facilitate both the fundamental and applicable research work that we undertake. The WICC Group now consists of thirteen members.

Details of our Group’s current interests and activities can be found at the WICC website. If you are interested in my papers, then you can find them via my publications page.