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, 2020) - ThesisThis body of work is based upon the following three papers that the author wrote during his PhD with Jonathan Fraser and Han Yu: [FH20, HY17, How19]. Chapter 1 starts by introducing many of the common tools and notation ...
(University of St Andrews, 2020-07-28) - ThesisThe movements of critically endangered vultures, equipped with satellite-based tracking devices in Namibia, were inspected using Generalized Additive Models. Models incorporated spatially adaptive (1D and 2D) smooths via ...
(University of St Andrews, 2006-11-30) - 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 ...