Pure Mathematics
Main areas of research activity are algebra, including group theory, semigroup theory, lattice theory, and computational group theory, and analysis, including fractal geometry, multifractal analysis, complex dynamical systems, Kleinian groups, and diophantine approximations.
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Synchronisation and separation permutation groups through graphs
(2022-06-14) - ThesisAbout 15 years ago, Araújo, Arnold and Steinberg introduced the notion of synchronisation to the theory of finite permutation groups. Synchronisation property is closely related to another property which is called separation, ... -
Base size and generating graphs of primitive permutation groups
(University of St Andrews, 2022-06-14) - ThesisIn this thesis we consider base size and properties of the generating graph for finite groups. Let Ω = {1,...,n}, let Sₙ = Sym({1,...,n}) and let G ≤ Sₙ. A base for G is a sequence Λ = (ω₁, . . . , ωₖ) of points in Ω ... -
On singular pencils of matrices
(University of St Andrews, 1936) - Thesis"This thesis is a study of Singular Matrix Pencils under various aspects. In part (I) a new derivation of the Canonical Form of matrix pencils is given. This suggests investigation of the transformations of a pencil into ... -
The invariant theory of linear complexes associated with a quaternary quadric
(University of St Andrews, 1929) - Thesis"The invariants and covariants of a quaternary system of a linear complex and a quadric have been discussed by Weitzenbock, but he excludes the mixed concomitants. In the present paper the concomitants (which will include ... -
Studies in form-theory : 1. Mixed determinants - 2. The pedal correspondence
(University of St Andrews, 1924) - Thesis
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