## The Mathematical Physics and Applied Mathematics (MPAM) group is engaged in the development of innovative analytical methods for a broad range of problems arising from engineering and physical sciences. A particular specialism is the study of complex quantum systems, including quantum chaos, random matrix theory, quantum information and computing as well as research on related fundamental questions in geometry and mathematical physics.

Contributions in the unit include the development of non-perturbative techniques for open wave chaotic systems, quantum computing and entanglement, modelling and statistical analysis of complex networks, and geometry of (higher dimensional) algebraic varieties. Another strength of the group is in the study of wave phenomena in acoustic and elastic media. Relevant contributions include the modelling of wave impacts on coastal structures, acoustic scattering in waveguides and the asymptotic theory of thin elastic structures. Research on optimal forms of bridges and structures is also a prominent direction of the group.

## Specific research expertise

- Random matrix theory and its applications (D. Savin, I. Smolyarenko)
- Resonances and transport in open wave chaotic systems (D. Savin)
- Quantum information and quantum computing (S. Virmani)
- Algebraic geometry, birational geometry (A.-S. Kaloghiros)
- Complex networks (G. Rodgers, I. Smolyarenko)
- Statistical mechanics of complex systems and econophysics (G. Rodgers)
- Waves in solids and fluids (M. Greenhow, J. Lawrie, E. Nolde, A. Pichugin)
- Structural acoustics and diffraction theory (M. Greenhow, J. Lawrie)
- Asymptotic theory of thin elastic structures (E. Nolde , A. Pichugin)
- Layout optimization of structures (A. Pichugin)

For more detailed descriptions of research and list of individual publications, please follow the links to the web pages of individual group members.

## Major external collaborators

- Prof Gernot Akemann, Bielefeld University, Germany
- Prof Alessio Corti, Imperial College London, UK
- Prof Ivan Cheltsov, University of Edinburgh, UK
- Prof Yan Fyodorov, KCL & Landau Institute for Theoretical Physics, Chernogolovka, Russia
- Prof Julius Kaplunov, Keele University, UK
- Prof Olivier Legrand, Université Côte d'Azur, Nice, France
- Prof Martin Plenio, University of Ulm, Germany
- Prof Ernst Wit, Università della Svizzera Italiana, Lugano, Switzerland

## Externally funded projects

- Calabi-Yau Pairs and Mirror Symmetry for Fano Varieties (EPSRC, 2017-2019, A.-S. Kaloghiros)
- Closing the gap on the third way of computation (EPSRC, 2013-2015, S. Virmani)

## Conferences

- LMS Conference grants to organise Random matrix theory workshops (2014, 2016, 2018, D. Savin)
- MPAM group runs the annual series of Brunel-Bielefeld Workshops on Random Matrix Theory and Applications, which is hosted on a rotation basis between Brunel and Bielefeld University (Germany) and is the major international forum in this field.