I was honoured to be one of the Plenary speakers at the 2022 British Applied Mathematics Colloquium in Loughborough. 
My talk will was entitled
"The Mathematics of Waves and Materials"
View my Google scholar profile
Professor of Applied Mathematics
 
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 materials, physical processes and industrial problems, and the application and development of novel mathematical methods.

I have been fortunate to have a receive an array of funding over the year to help my research progress. My most recent large grant was my EPSRC Fellowship extension which was associated with the design and manufacture of new microstructured materials, including various metamaterials and syntactic foams. This followed on from my EPSRC fellowship "NEMESIS" (2014-19) which was associated with the modelling of soft tissue, metamaterials and industrial composites. At the heart of the project is fundamental, novel applied mathematics. 

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 and the International Journal of Solids and Structures. 

Together with Professor Raphael Assier, I lead the Mathematics of Waves and Materials (MWM) group (formerly WICC) in the Department 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 Thales UK, principally in acoustics and materials technology research.

In 2019 I was honoured to be awarded a Whitehead Prize from the London Mathematical Society.
Picture
Alan Turing Building, University of Manchester
These are CT images of the microstructure of a Syntactic Foam - these complex composites are useful in a variety of applications from sportswear equipment to underwater exploration. Our paper in Composites B characterises the so-called microspheres that are used in such composites.
Here is a talk I gave in December 2020 at the ICMS online Continuum Mechanics Seminar series the focus of which was Neutral Elastic Inclusions

See Chapter 12 of Volume 2 of the World Scientific Handbook of Metamaterials and Plasmonics (book image to the left) by Prof Andrew Norris (Rutgers) and me, focusing on Hyperelastic Cloaking.
Our MWM group meetings occur regularly, see the associated webpage.  If you are interested in visiting us and speaking at one of these meetings please email me or Raphael Assier at [email protected]