Mathematics & Statistics Theses
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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Recent Submissions
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Combinatorial algorithms in 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 ... -
Construction and comparison of semi-Latin rectangles
(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 ... -
Solar cycle variation of photospheric and chromospheric magnetic and ultraviolet emission features observed by the Solar Dynamics Observatory
(2022-11-29) - ThesisThe solar magnetic field exhibits cyclic behaviour over a period of 22 years, continually reprocessing the poloidal, dipolar magnetic field into toroidal, quadrupolar magnetic field and vice versa. The cyclic behaviour of ... -
Limit sets, Julia sets and Sullivan’s dictionary : a dimension theoretic analysis
(2023-06-13) - ThesisThis thesis includes work from four papers that were written during the author’s time as a PhD student with Jonathan Fraser, namely [40, 41, 42, 43]. Chapter 1 introduces the two main settings that will be studied ... -
Computer-assisted proofs and the F[super](a,b,c) conjecture
(University of St Andrews, 2006) - ThesisThis thesis studies finitely presented groups and the process known as coset enumeration, which finds the index of a finitely generated subgroup in a finitely presented group, provided this index is finite. The Todd-Coxeter ...