Department of Mathematics

Research

We are home to one of the largest research groups on nonlinear mathematics. The research interests of the department cut a broad swathe through both pure and applied areas of mathematics.

Research covers analysis, nonlinear partial differential equations, ergodic theory, and geometry to quantum field theory, general relativity, string theory, fluid dynamics, complex systems, mathematical biology, statistics, and modelling in the life sciences. A particular emphasis is placed on research at the interface between pure and applied mathematics.

Research Groups

Research in the Department is organised into a number of research groups, but there are many overlaps and links between these.

Research blog

  • The paper “A coherent structure approach for parameter estimation in Lagrangian data assimilation“, co-authored by John Maclean (U North Carolina), Naratip Santitissadeekorn, and Christopher K.R.T. Jones (U North Carolina) has been published in the December 2017 issue of PhysicaD (link here).   The paper shows that coherent patterns can be used to form effective data assimilation schemes. A Pattern-based distance is used in a likelihood-free data assimilation, and the pattern-based scheme is unaffected by chaotic advection.

  • Cesare Tronci has been appointed to a Research Membership at the Mathematical Sciences Research Institute at the University of California at Berkeley for the four month programme on Hamiltonian Systems.  The Research Membership provides local funding for four months and round-trip travel to San Francisco.  The programme will take place from 13 August 2018 to 14 December 2018 and covers Hamiltonian systems from topology to applications through analysis. An aerial view of MSRI is shown below.

  • Carina Dunlop visited Mathematical Sciences at the University of Southampton on Tuesday 9 January to give a seminar in the Applied Mathematics Series.  Her talk was on “Mechanical models for cell and tissue culture exploring mechanotransduction“.  An abstract of the talk follows: the ability of cells to sense and respond to the mechanical properties of their environments is fundamental to a range of cellular behaviours, with stiffness increasingly being found to be a key control parameter. The physical mechanisms underpinning mechanosensing are, however, not well understood. In her talk she considered the key physical cellular behaviours of active contractility of the internal cytoskeleton and cell growth, coupling these into mechanical models for tissue culture. These models suggest new distinct mechanisms of mechanotransduction in cell and tissue culture.