Research
Applied Mathematics at Reading is in an exciting period of expansion, renewal and significant University investment. The last two years have seen, including one promotion, five new chair appointments, and many other appointments at lecturer level.
Important developments include the formation of a very strong Complex Fluids and Polymers Research Group, the appointment at the interface of mathematical physics/complex systems and analysis of Kuna, the joint appointment with Meteorology of Lucarini and RCUK Fellow Dance, and the joint appointment with the Centre for Advanced Computing and Emerging Technologies of Grindrod, with a particular remit to generate further interdisciplinary links across the University.
Our current activity is a coherent mix of analysis of mathematical models arising in physical, engineering, and biological application areas, analysis of mathematical structures connected to these models, and the development and analysis of numerical algorithms of significant value for a range of applications. In support of this activity we are working in an interdisciplinary way with many collaborators in Reading and elsewhere, as a source of mathematical problems and to maximise the impact of the work we carry out.
Research in Mathematics is undertaken in several overlapping groups:
Group A: Applied Analysis, Biggs, Chamberlain, Chandler-Wilde, Cullen, Grindrod, Kondratiev, Kuna, Langdon, Lindner, Pelloni, Porter, Potthast
Within this group major activities are linear and nonlinear wave phenomena, reaction-diffusion theory, inverse problems, and spectral transforms.
Group B: Numerical Analysis and Computational Modelling, Baines, Biggs, Cullen, Dance, Glaister, Grindrod, Kim, Langdon, Lawless, Lukyanov, Matsen, Nichols, Pelloni, Potthast, Sweby
Within this group major activities are computational fluid dynamics, numerical analysis of differential and integral equations, including spectral methods for nonlinear PDEs, control theory, and data assimilation and inverse problems.
Group C: Operator Theory and Applications, Biggs, Bunce, Chandler-Wilde, Hilberdink, Kondratiev, Kuna, Langdon, Lindner, Pelloni, Porter, Williams
Within this group major activities are Wiener-Hopf operators and generalisations, operator algebras and quantum probability, spectral theory of differential and integral operators and operator sequences. There are also overlaps with work in Group B on approximation methods for differential and integral operators.
Group D: Complex Fluids and Theoretical Polymer Physics, Matsen, Kim, Likhtman, Ramirez
Within this group, the major activities are equilibrium behaviour of nanostructured polymeric systems and polymer fluid dynamics. The latter overlaps with work in Group C on computational fluid dynamics of simple liquids. There are also strong ties with the polymer activities in the Chemistry Department.
Group E: Mathematical modelling for the digital economy, Grindrod, Machete
Within this group the major activities are complexity science, theoretical and/or numerical analysis of models for networks, dynamical growth and evolution of networks, time dependent models for the flows of ideas and information around evolving networks of actors (people, businesses), multiscale calibration problems, unsupervised classification of multidimensional behavioural metrics, recognition of synchronous, or transient phase locking, behaviour; dynamical simulations and agent based models; the use of inference and uncertainty theories to make decisions over real time data. There are strong ties with the University of Nottingham's Digital Economy "Horizon" Hub.