Pure Mathematics Theses
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.
For more information please visit the School of Mathematics & Statistics home page.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Recent Submissions
-
Faithful semigroup diagram representations of homeomorphism groups
(2024-12-03) - ThesisIn this thesis we investigate two different classes of objects. The first is the class of Dénes cycles of a tree; we show a ‘strong’ correspondence between such cycles and certain partial orders on the edges of the tree. ... -
Volume rigidity of simplicial complexes
(2024-12-03) - ThesisThis thesis develops a theory of rigidity of frameworks of simplicial complexes subject to maximal-simplex-volume constraints inspired by the well-studied theory of rigidity of frameworks of graphs subject to edge-length ... -
Disjoint and external partial difference families and cyclotomy
(2024-12-03) - ThesisIn this Thesis, we introduce two new combinatorial objects known as Disjoint Partial Difference Families and External Partial Difference Families: these objects generalise Disjoint Difference Families (DDFs), External ... -
Statistical properties and rare events for chaotic dynamical systems
(2024-12-03) - ThesisThe application of Extreme Value Theory to Dynamical Systems has been a topic of interest for a few years now (see the influential work in [FFT10] which built on [Col01] and [FF08]) opening up a whole new framework for the ... -
Assouad-type dimensions and the local geometry of fractal sets
(2024-12-03) - ThesisWe study the fine local scaling properties of rough or irregular subsets of a metric space. In particular, we consider the classical Assouad dimension as well as two variants: a scale-refined variant called the Assouad ...
RSS 1.0