Mathematics & Statistics (School of)
The School has research strengths across Pure Mathematics, Applied Mathematics and Statistics. All the Research groups are internationally-leading, and attract researchers, postgraduate students and collaborators from across the world. The School is also well-known for its research in the History of Mathematics.
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(University of St Andrews, 1006-11-30) - ThesisField-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. ...
(University of St Andrews, 2019-12-03) - ThesisFootpoint 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 ...
(University of St Andrews, 2019-12-03) - ThesisMetastatic 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 ...
(University of St Andrews, 2019-12-03) - ThesisAll species and subspecies of African great apes are listed by the International Union for the Conservation of Nature as endangered or critically endangered, and populations continue to decline. As human populations and ...
(University of St Andrews, 2019-06-25) - ThesisIn 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 ...