## Mathematical Physics at Lancaster University

When investigating physical phenomena, considerable insight can often be gained using modern mathematical techniques commonly associated with general relativity and string theory. We make extensive use of analytical techniques and effective theories, rather than large-scale computation, to explore the world around us and interdisciplinarity pervades our work. Our broad research programme reflects our extensive range of interests; for example, it connects the theoretical investigation of matter in extreme conditions (such as the ultra-powerful laser fields of the Extreme Light Infrastructure (ELI), or the strong-field environment of a magnetar) with ubiquitous fluid-structure interactions of utmost importance to the oil industry (such as the vortex-induced vibration of marine risers). Some of the most mathematical aspects of our work include novel regularization-free techniques for analysing quantum (Casimir) stresses and the development of new methods for investigating electromagnetic transport in spatially dispersive media such as metamaterials.

We maintain close connections with a number of external institutions through our membership of ALPHA-X consortium and our membership of the Cockcroft Institute of Accelerator Science and Technology at Daresbury, UK.

### Key Research

- Radiation reaction, high-field electrodynamics and wave-particle interaction in ultra-intense plasmas and beams
- Casimir forces in media and spatial dispersion in photonic structures
- Continuum mechanics of Cosserat media and vortex-induced motion