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Professor of Applied Mathematics and EPSRC fellow
 
My research falls into the broad area of "continuum mechanics" or more specifically in the areas of solid mechanics, acoustics, elasticity, elastodynamics, homogenization and micromechanics.  Applications of this work lie in metamaterials, industrial composites and biological media such as soft tissue and bone.  I am also interested more generally in the mathematical modelling of physical processes and industrial problems, and the application and development of novel mathematical methods. My EPSRC fellowship "NEMESIS" (2014-19) involved materials modelling projects associated with soft tissue, metamaterials and industrial composites. At the heart of the project is fundamental, novel applied mathematics. I am also grateful to the EPSRC for funding an extension to my fellowship, which is associated with the design and manufacture of new microstructured materials.

I am the Editor-in-Chief of the international journal Wave Motion. I am also  an Associate Editor for the Quarterly Journal of Mechanics and Applied Mathematics.

I lead the Mathematics of Waves and Materials (MWM) group (formerly WICC) in the School of Mathematics at the University of Manchester. This group was launched in September 2010 with financial support via grants from the Engineering and Physical Sciences Research Council, The Leverhulme Trust, The Royal Society and industry. MWM has strong research ties with Dyson and Thales UK, principally in acoustics and materials technology research.

​With the help of many across the Faculty of Science and Engineering at Manchester I also launched the Manchester Materials Modelling Centre (M3C) in the summer of 2019.

In 2019 I was delighted to be awarded a Whitehead Prize from the London Mathematical Society.
Picture
Alan Turing Building, University of Manchester




Research presentation to Dyson in 2015. Sir James Dyson in the foreground, looking on with great interest!
Here is a talk I recently gave on Hyperelastic Metamaterials at the XAM3 Exeter Acoustic Metamaterials meeting, 16th April 2018.

The World Scientific Handbook of Metamaterials and Plasmonics is now published (book image to the left). Chapter 12 of Volume 2 is written by Prof Andrew Norris (Rutgers) and me, focusing on Hyperelastic Cloaking.
Our WICC Waves group meetings occur regularly, see the associated webpage.  If you'd be interested in visiting us and speaking at one of these meetings please email me or Raphael Assier at Raphael.Assier@manchester.ac.uk