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, 2022-06-14) - ThesisThis thesis is focused on expanding the use of spatial modelling approaches for applications in ecology. Spatial ecology is about understanding the processes that give rise to spatial patterns in ecological data. In addition ...
(2024-06-11) - ThesisIn this thesis we are mainly interested in the development of practical algorithms for semigroups and monoids defined by finite presentations. Although in general nearly every problem about finitely presented semigroups ...
(University of St Andrews, 2022-06-14) - ThesisComputational semigroup theory is concerned with developing and implementing algorithms for determining properties of semigroups. The problems in computational semigroup theory can often be divided into sub-problems in ...
(University of St Andrews, 2021-06-29) - ThesisThis work is concerned with semi-Latin rectangles (SLRs). These designs are row-column designs with nice combinatorial properties; and were introduced in Bailey and Monod (2001). They generalize the Latin squares (LSs) and ...
(University of St Andrews, 2020-12-01) - ThesisThe purpose of this thesis is threefold: firstly, to develop a systematic theory of presentations of monoid acts; secondly, to study finiteness conditions on semigroups relating to finite generation of one-sided congruences; ...