Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Geometric Functional Data Analysis
(2019-10-26)In this thesis, we introduce a comprehensive framework for the analysis of statistical samples that are functional data with non-trivial geometry. Geometry can interplay with functional data in different forms. The most ... -
Inferring differences between networks using Bayesian exponential random graph models
(2019-10-26)The goal of many neuroimaging studies is to better understand how the functional connectivity structure of the brain changes with a given phenotype such as age. Functional connectivity can be characterised as a network, ... -
Level raising for automorphic representations of GL(2n)
(2019-05-18)To each regular algebraic, conjugate self-dual, cuspidal automorphic representation $\Pi$ of $\mathrm{GL}(N)$ over a CM number field $E$ (or, more generally, to a regular algebraic isobaric sum of conjugate self-dual, ... -
Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds
(2019-07-19)In this thesis we study Ricci-flat deformations of Ricci-flat Kähler metrics on compact orbifolds and asymptotically locally Euclidean(ALE) manifolds. In both cases we also study the moduli space of Ricci-flat structures. ...
