Areas of particularly strong research activity are: numerical analysis, plasma physics, solar and magnetospheric theory, and vortex dynamics.

For more information please visit the School of Mathematics and Statistics home page.

Recent Submissions

  • Electron acceleration in auroral field-aligned currents 

    Cran-McGreehin, Alexandra P. (University of St Andrews, 1006-11-30) - Thesis
    Field-aligned currents at Earth's high latitudes are principally carried by accelerated electrons. Current densities, typically ~µAm⁻² at ionospheric altitudes, are sustained by parallel potential drops of ~100 - 1000 V. ...
  • Modelling solar coronal magnetic field evolution 

    Goldstraw, Erin Elizabeth (University of St Andrews, 2019-12-03) - Thesis
    Footpoint motions at the photosphere can inject energy into the magnetic field in the solar corona. This energy is then released in the corona as heat. There are many mathematical approaches to model the evolution of these ...
  • Mathematical modelling of cancer invasion and metastatic spread 

    Franssen, Linnea Christin (University of St Andrews, 2019-12-03) - Thesis
    Metastatic spread—the dissemination of cancer cells from a primary tumour with subsequent re-colonisation at secondary sites in the body—causes around 90% of cancer-related deaths. Mathematical modelling may provide a ...
  • Theoretical models of charged particle acceleration motivated by solar flares 

    Borissov, Alexei (University of St Andrews, 2019-06-25) - Thesis
    In this thesis we examine non-thermal particle behaviour in the presence of modelled electromagnetic fields motivated by various aspects of solar flares. We first investigate particle dynamics in magnetic reconnection ...
  • Mathematical modelling of tumour-immune competition tumour growth : discrete and continuum approaches 

    Macfarlane, Fiona Ruth (University of St Andrews, 2019-12-03) - Thesis
    The ability of the human immune system to detect and remove cancer cells is exploited in the development of immunotherapy techniques. However, further understanding of these mechanisms is required and can be achieved through ...

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