General research interests

• Mathematical modelling and simulation
• Analysis of partial differential equations

Specific research areas

• Periodic homogenisation
• Physico–chemical mechanisms in multiscale media (e.g. porous media, biological cells)
• Microfluidics
• Materials Science
• Wave scattering and diffraction, water waves in particular (also see the Water Waves Website)

• Associate editor of the SIAM Journal on Applied Mathematics
• Associate editor of Nature Scientific Reports
• Guest editor of the Special Feature on Mathematical theory and applications of multiple wave scattering of the Proceedings of the Royal Society A
• Local representative of the Association of Applied Mathematics and Mechanics (GAMM)
• Vice-director of the Centre for Advanced Analytics and Predictive Sciences
• Member of the board of directors of the AI Production Network at the University of Augsburg
• Life Member of Clare Hall, University of Cambridge, UK