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, 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 ...
(University of St Andrews, 2019-12-03) - ThesisSubstructure orderings are ubiquitous throughout combinatorics and all of mathematics. In this thesis we consider various orderings on words, as well as the consecutive involvement ordering on permutations. Throughout ...
(University of St Andrews, 2016-06-24) - ThesisCapture-recapture (CR) methods are a ubiquitous means of estimating animal abundance from wildlife surveys. They rely on the detection and subsequent redetection of individuals over a number of sampling occasions. It is ...
(University of St Andrews, 2016-06-24) - ThesisThis thesis focusses on the analysis of ecological capture-recapture data and the estimation of population parameters of interest. Many of the common models applied to such data, for example the Cormack-Jolly-Seber model, ...
Mathematical modelling of tumour-immune competition tumour growth : discrete and continuum approaches (University of St Andrews, 2019-12-03) - ThesisThe 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 ...