PhD Alumni

Here is a list of PhD students to have graduated from SoMaS over recent years.

2022

Ali Al khabyah, On a Class of Quadratic Algebras (supervised by Vladimir Bavula)
Abdulrahman Albidah, A novel approach to decomposing and identifying individual magnetohydrodynamic wave modes in sunspots. (supervised by Istvan Ballai, cosupervised by Gary Verth)
Abdulaziz Alharbi, Waves in Partially Ionised Multi-Fluid Solar Atmospheric Plasmas (supervised by Istvan Ballai, cosupervised by Gary Verth)
Farhad Allian, An Analysis of Magnetohydrodynamic Waves and Oscillations in the Solar Corona (supervised by Rekha Jain)
Nicola Bellumat, Finiteness of compositions of localizations via fracture diagrams (supervised by Neil Strickland)
Khalil Hakami, Rings of differential operators on singular generalized multi-cusp algebras (supervised by Vladimir Bavula)
Prathan Jarupoonphol, Pro-p Subgroups of Spin Groups and Quaternion Algebra (supervised by Jayanta Manoharmayum)
Fionnlagh Mackenzie Dover, Numerical Magnetohydrodynamic Investigation of Jets in the Solar Atmosphere (supervised by Robert von Fay-Siebenburgen)
Axel Polaczek, Cosmological perturbat.ions in a quantum bounce universe. (supervised by Steffen Gielen)

2021

Anwar Aldhafeeri, MHD Wave Modes in the Solar Magnetic Flux Tubes with Various Cross-Sectional Shapes (supervised by Gary Verth)
Matthew Allcock, Asymmetric Magnetohydrodynamic Waves of the Solar Atmosphere (supervised by Robert von Fay-Siebenburgen)
Majed Almubark, The Centralizer of the Cartan Subalgebra in the Universal Enveloping Algebra (supervised by Vladimir Bavula)
Fay Frost, Statistical Modelling of Collective Animal Movement with an application to reindeer movement in northern Sweden. (supervised by Paul Blackwell)
Jordan Milner, Modelling and Inference for the Movement of Interacting Animals (supervised by Paul Blackwell)
Thomas Morley, Vacuum polarisation on asymptotically anti-de Sitter spacetimes (supervised by Elizabeth Winstanley)
Rhys Munden, Dude, where?s my cow? Using high-frequency movement data to quantify animal space use (supervised by Jonathan Potts)
Daria Shukhobodskaia, Magnetohydrodynamic Waves in Cylindrical and Multi-slab Environments (supervised by Robert von Fay-Siebenburgen, cosupervised by Michael Ruderman)
Fiona Turner, Ice Cores and Emulation: Learning More About Past Ice Sheet Shapes (supervised by Caitlin Buck, cosupervised by Caitlin Buck)
Caterina Vitale, The evolution of host tolerance to disease and the impact of predators (supervised by Alex Best)
Charlotte Ward, The Effect of Seasonal Variation in Birth and Transmission Rates on Host-Parasite Relationships (supervised by Alex Best)
Di Zhang, On the non-vanishing of theta lifts of Bianchi modular forms to Siegel modular forms (supervised by Tobias Berger)

2020

Kholood Alnefaie, Generalized Weyl Algebras and Their Dimensions (supervised by Vladimir Bavula)
Samuel Edis, On Arithmetic Progressions and Perfect Powers (supervised by Frazer Jarvis)
Daniel Graves, Functor Homology for Augmented Algebras (supervised by Sarah Whitehouse)
Matthew Hethcoat, Remote sensing of tropical forest degradation from selective logging (supervised by Shaun Quegan)
Dimitrios Kiagias, Bayesian Modelling for Stochastic Optical Reconstruction Microscopy Images (supervised by Miguel Juarez, cosupervised by Kostas Triantafyllopoulos)
Caitlin McAuley, Stability conditions for the Knonecker quiver and quantum cohomology of the projective line (supervised by Tom Bridgeland)
Samuel Morgan, Double Lie Structures in Poisson and Symplectic Geometry (supervised by Kirill Mackenzie)
Valentine Nlebedim, Probabilistic Identification of Bacterial Essential Genes Using Transposon-Directed Insertion Sequencing (TraDIS) Data (supervised by Kevin Walters)
Nebojsa Pavic, DERIVED CATEGORIES AND K-GROUPS OF SINGULAR VARIETIES (supervised by Evgeny Shinder)
Luca Pol, Algebraic models and rational global spectra (supervised by Neil Strickland)
Thomas Stratton, Scattering on compact body spacetimes (supervised by Sam Dolan)
Hope Thackray, Study of Oscillations and Flows in Solar Magnetic Active Regions (supervised by Rekha Jain)
Eleanor Vickers, Waves and Instabilities at Contact Discontinuities (supervised by Istvan Ballai, cosupervised by Robert von Fay-Siebenburgen)
Jordan Williamson, Algebraic models and change of groups for equivariant spectra (supervised by Sarah Whitehouse)
Hannuun Yaacob, Bayesian fine mapping of complex disease genes utilitising estimates of the number of yet-to-be-discovered disease-specific SNPs. (supervised by Kevin Walters)

2019

Hajar Alkhezi, Bayesian Inference for Animal Movement in Continuous Time (supervised by Paul Blackwell)
Turki Alsuraiheed, Multiplication Rings and Multiplication Modules (supervised by Vladimir Bavula)
Christos Aravanis, Hopf algebras, Hopf monads and derived categories of sheaves (supervised by Simon Willerton)
Mihai Barbulescu, Models of Magnetohydrodynamic Flow Instabilities with Applications to the Solar Atmosphere. (supervised by Robert von Fay-Siebenburgen, cosupervised by Michael Ruderman)
Charlotte Ferris, Modelling evolution of host defence in seasonal environments (supervised by Alex Best)
Christopher Griffiths, Using electronic tagging data to investigate the individual-, population- and community-level consequences of movement in free-roaming marine fish (supervised by Paul Blackwell)
Norbert Gyenge, The Nonaxisymmetric Behaviour Of Solar Eruptive Events (supervised by Robert von Fay-Siebenburgen)
Rachael Hardman, Remote Sensing of Ocean Winds and Waves With Bistatic HF Radar (supervised by Lucy Wyatt)
Malte Heuer, Multiple vector bundles and linear generalised complex structures (supervised by Madeleine Jotz Lean, cosupervised by Sarah Whitehouse)
Sofia Maria Karadimitriou, Bayesian Inference for Dynamic Spatio-temporal Models (supervised by Kostas Triantafyllopoulos, cosupervised by Timothy Heaton)
Tamas Sandor Kiss, Chromospheric Macrospicules: Connection to the Solar Dynamo? (supervised by Robert von Fay-Siebenburgen)
Dimitar Kodjabachev, Turnitin ok (supervised by John Greenlees)
Marianna Korsos, Leap forward in Space Weather forecast: Novel prediction of flares. (supervised by Michael Ruderman, cosupervised by Viktor Fedun)
Trang Le Ngan, The Positive Maximum Principle on Lie Groups and Symmetric Spaces (supervised by David Applebaum)
Sajni Malde, Gaussian Process Emulators in costal wave modelling (supervised by Jeremy Oakley)
Théo Michelot, Stochastic models of animal movement and habitat selection (supervised by Paul Blackwell)
Eoin Murphy, Integral Forms of Hall Algebras and their Limits (supervised by Tom Bridgeland)
Angelo Rendina, Congruences of Saito-Kurokawa lifts and divisibility of degree-8 L-values (supervised by Neil Dummigan)
Ciaran Schembri, Modularity of abelian surfaces over imaginary quadratic fields (supervised by Haluk Sengun)
Jake Shipley, Strong-field gravitational lensing by black holes (supervised by Sam Dolan)
Alexander Shukhobodskiy, Kink Oscillations of Expanding Coronal Loops in the Presence of Bulk Flow (supervised by Robert von Fay-Siebenburgen, cosupervised by Michael Ruderman)
Yi-Shan Wang, Deriving patterns from animal movement decisions: a comparison of approximation techniques and a continuous-time resource selection method (supervised by Jonathan Potts)
Ariel Weiss, On Galois representations associated to low weight Hilbert-Siegel modular forms (supervised by Tobias Berger)
Mehmet Yesil, Constructive Methods for Frobenius and Cartier Maps (supervised by Moty Katzman)

2018

Sukaina AL-Bairmani, Synthetic Turbulence Based on The Multi-Scale Turnover Lagrangian Map (supervised by Yi Li)
Avan Al-Saffar, Using Fisher information approach in nonlinear dynamical systems (supervised by Eun-jin Kim)
Younus Al-Taweel, Bayesian statistical methods for analysing uncertainty in computer model predictions (supervised by Jeremy Oakley)
Abdulaziz Alenazi, Fine mapping complex disease genes with incomplete functional genomic information using shrinkage priors (supervised by Kevin Walters)
Khaled Alhazmy, On the Finite F-Representation Type and F-Signature of Hypersurfaces (supervised by Moty Katzman)
Dean Barber, A Comparison of Models for the Fulton-Macpherson Operads (supervised by Neil Strickland)
Wing Tat Rudolf Chow, The Arithmetic-Geometric Mean and Periods of Curves of Genus 1 and 2 (link) (supervised by Frazer Jarvis)
Magdalini Flari, Multiple Lie theory and Poisson geometry (supervised by Kirill Mackenzie)
Ioannis Giagkiozis, Axisymmetric MHD Modes in Twisted Magnetic Fields (supervised by Gary Verth, cosupervised by Robert von Fay-Siebenburgen)
Gemma Halliwell, Topics in algebraic topology (supervised by Sarah Whitehouse)
Samuel Hutchinson, The Morava Cohomology of Finite General Linear Groups (supervised by Neil Strickland)
Dler Kadir, Bayesian Inference of Autoregressive Models (supervised by Kostas Triantafyllopoulos)
Christopher Longden, Building and testing models of cosmic inflation with modified gravity (supervised by Carsten van de Bruck)
James Mather, Magneto-Acoustic Waves in the Stratified Solar Atmosphere: Single to Multi-Fluid Approach (supervised by Robert von Fay-Siebenburgen)
Jurgen Mifsud, Cosmological consequences of theories of modified gravity (supervised by Carsten van de Bruck)
Laura Paduraru, Inflationary Predictions in Extensions to the Starobinsky Model (supervised by Carsten van de Bruck)
Alison Parton, Bayesian inference for continuous-time step-and-turn movement models (supervised by Paul Blackwell)
Rory Potter, Derived Categories of Surfaces and Group Actions (supervised by Tom Bridgeland)
Edward Prior, (supervised by Neil Dummigan)
Rahul Sharma, Dynamic wave-modes in solar chromospheric structures (supervised by Robert von Fay-Siebenburgen, cosupervised by Gary Verth)
David Spencer, Congruences of Local Origin for Higher Levels (supervised by Neil Dummigan)

2017

Sarah Browne, E-theory Spectra (link) (supervised by Paul Mitchener)
Alexander Corner, Day convolution for monoidal bicategories (link) (supervised by Nick Gurski)
David Dempsey, Wave propagation on black hole spacetimes (link) (supervised by Sam Dolan, cosupervised by Elizabeth Winstanley)
Christopher Fish, Connected quantized Weyl algebras and quantum cluster algebras (link) (supervised by David Jordan)
Benjamin Fuller, Duality, Coherence and Grothendieck's Six Operations (link) (supervised by Simon Willerton)
Alexander Hague, Magnetohydrodynamic Waves in a Gravitationally Stratified Fluid (link) (supervised by Robert von Fay-Siebenburgen)
Samuel Jackson, An investigation of magneto-acoustic waves in the solar atmosphere (supervised by Rekha Jain)
Shadman Kareem, Lambda-rings and plethories (supervised by Sarah Whitehouse)
Ben McGovern, The Temporal Dynamics of Coordinated Decision-Making in Biological Systems (link) (supervised by Nick Monk)
Thomas Sutton, Rational Homotopy Theory and Derived Commutative Algebra (supervised by John Greenlees)
Jaspreet Toor, The impact of predation on the evolution of hosts and parasites (link) (supervised by Alex Best)
Jian Wang, Real Time Estimation of Multivariate Stochastic Volatility Models (link) (supervised by Kostas Triantafyllopoulos)

2016

Christian Andres Fonseca Mora, Stochastic analysis with Levy noise in the dual of a nuclear space (link) (supervised by David Applebaum)
Nabil Freij, The identification and analysis of MHD waves and oscillations in localised solar atmospheric wave guides (link) (supervised by Robert von Fay-Siebenburgen, cosupervised by Michael Ruderman)
Masoud Hassan, Tree-ring growth modelling applied to Bayesian dendrochronology (link) (supervised by Caitlin Buck, cosupervised by Timothy Heaton)
Tao Lu, Universal enveloping algebras of semi-direct products of Lie algebras and their quantum analogues (link) (supervised by Vladimir Bavula)
Mabruka Mohamed, A Numerical Study of the Complex Lorenz System as a Dynamical Model (link) (supervised by Eun-jin Kim)
Jack Morrice, Disformal Couplings and Cosmology (link) (supervised by Carsten van de Bruck)
Serena Murru, On the Upper Semicontinuity of HSL Numbers (link) (supervised by Moty Katzman)
David O'Sullivan, Topological C*-categories (link) (supervised by Paul Mitchener)
Supakchai Ponglertsakul, Aspects of self-gravitating solitons and hairy black holes (link) (supervised by Elizabeth Winstanley)
Mathew Robinson, Models of the very early universe with multiple scalar fields (link) (supervised by Carsten van de Bruck)
Aditi Sood, Investigation of regulation of stellar magnetism and rotation (link) (supervised by Eun-jin Kim)

2015

Marios Alexandrou, Dissipative Instability in Partially Ionised Prominence Plasma (link) (supervised by Istvan Ballai, cosupervised by Robert von Fay-Siebenburgen)
Ziyad Alhussain, Eliciting beliefts about uncertain population means and variances (link) (supervised by Jeremy Oakley)
Fatimah Aloef, Bayesian Design of Discrete Choice Experiments for Valuing Health State Utilities (link) (supervised by Jeremy Oakley, cosupervised by Eleanor Stillman)
Victor Ambrus, Dirac fermions on rotating space-times (link) (supervised by Elizabeth Winstanley)
Daniel Fretwell, Level p paramodular congruences of Harder type (link) (supervised by Neil Dummigan)
Matthew Hewitt, Vacuum polarisation on higher dimensional black hole spacetimes (link) (supervised by Elizabeth Winstanley)
Andrew Jones, Modularity of elliptic curves over quartic cm fields (link) (supervised by Tobias Berger)
Magdalena Kedziorek, Algebraic models of rational G-spectra (link) (supervised by John Greenlees)
Siti Rahayu Mohd Hashim, Union intersection test in interpreting signal from multivariate control chart (link) (supervised by Eleanor Stillman)
Stuart Mumford, Simulations of magnetohydrodynamic waves driven by photospheric motions (supervised by Robert von Fay-Siebenburgen)
Schuyler Nicholson, On the theory of non-equilibrium statistical mechanics (link) (supervised by Eun-jin Kim)
Michael Spence, Statistical issues in ecological simulation models (link) (supervised by Paul Blackwell)
Wahiba Toubal, On the mass of black holes with scalar field hair in anti-de sitter spacetime (link) (supervised by Elizabeth Winstanley)
Samuel Touchard, Bayesian inference of gene-miRNA regulatory networks (link) (supervised by Kostas Triantafyllopoulos)
Konstantinos Tsaltas, On congruences of modular forms over imaginary quadratic fields (link) (supervised by Frazer Jarvis)
Susan Vu, Studies of inflation and dark energy with coupled scalar fields (link) (supervised by Carsten van de Bruck)
Joseph Wheatley, Automated Bayesian Layer Counting of Ice Cores (link) (supervised by Paul Blackwell)
Keith Worden, Aspects of Quantum Field Theory on Low-Dimensional Curved Spacetimes (supervised by Elizabeth Winstanley)

2014

Mohammad Abbasirad, Homotopy theory of differential graded modules and adjoints of restriction of scalars (link) (supervised by John Greenlees)
Thomas Athorne, Coalgebraic cell complexes (link) (supervised by Nick Gurski)
Stefan Blackwood, Levy Processes and Filtering Theory (link) (supervised by David Applebaum)
Elizabeth Boggis, Using the Bayesian Normal Gamma prior to identity associated sequence variants (link) (supervised by Kevin Walters)
Thomas Cottrell, Comparing algebraic and non-algebraic foundations of n-category theory. (link) (supervised by Eugenia Cheng)
Seung Jin Han, Online detection of mean-reversion in algorithmic pairs trading (link) (supervised by Kostas Triantafyllopoulos)
Stephanie Llewelyn, Statistical Modelling of Fingerprints (link) (supervised by Paul Blackwell, cosupervised by Timothy Heaton)
Alice Robinson, Wind turbine impacts on HF radar ocean surface measurements in Liverpool Bay (link) (supervised by Lucy Wyatt)
Gregory Sculthorpe, Scalar-Tensor Theories for Dark Energy and their Cosmological Consequences (link) (supervised by Carsten van de Bruck)
Amy Spencer, Comparing and developing statistical methods for fine-mapping genes in complex diseases (supervised by Kevin Walters)
Tom Sutherland, Stability conditions for Seiberg-Witten quivers (link) (supervised by Tom Bridgeland)
Yimin Wang, Modelling physical location based factors of photovoltaic viability (link) (supervised by Robert von Fay-Siebenburgen)
Alastair Williamson, Time-dependent Resonant Absorption in Coronal Loops (link) (supervised by Robert von Fay-Siebenburgen)

2013

Khalil Al-Ghafri, MHD waves in dynamic plasmas with solar applications: effect of thermal conduction (link) (supervised by Robert von Fay-Siebenburgen)
Shazia Bashir, Numerical Simulations and Experimental Studies of Microfluidic Droplet Formation (link) (supervised by Julia Rees)
Jamie Douglas, Linear stability analysis of non ideal tokamak plasma fluid models (supervised by Eun-jin Kim)
Nadia Gheith, Coarse version of Homotopy theory (supervised by Paul Mitchener)
Emma Jones, A Bayesian Framework for Dendrochronology (link) (supervised by Caitlin Buck)
Khairia Mira, Ossa's Theorem via the Kunneth Formula (supervised by Sarah Whitehouse)
Beniamin Orza, Dynamical phenomena in stratified solar coronal plasma (link) (supervised by Istvan Ballai, cosupervised by Rekha Jain)
Edmund Ryan, Using GEM-SA to explore wind speed dependencies in HF radar backscatter power spectra (supervised by Shaun Quegan)
Sawaporn Siripanthana, Sufficient reduction methods for multivariate health surveillance (link) (supervised by Eleanor Stillman)
Peter Wyper, Magnetic Reconnection: 3D Magnetic Null Points (link) (supervised by Rekha Jain)

2012

Mark Dowker, Numerical study on the Regularity of the Navier-Stokes Equations (link) (supervised by Koji Ohkitani)
Shabieh Farwa, Exact Holomorphic Differentials on Certain Algebraic Curves (link) (supervised by Neil Dummigan)
Roald Koudenburg, Algebraic weighted colimits (supervised by Simon Willerton)
Amy Scott, Transverse Oscillations of Non-planar Coronal Loops (link) (supervised by Michael Ruderman, cosupervised by Robert von Fay-Siebenburgen)
Benjamin Shepherd, Einstein-Yang-Mills black holes in anti-de Sitter space (link) (supervised by Elizabeth Winstanley)
Leigh Shepperson, Constructing Self Injective Graded Rings with a View Towards the Generating Hypothesis (supervised by Neil Strickland)
Ayesha Sohail, Analysis of non-linear surface waves induced by harmonic forcing in a flow cell (link) (supervised by Julia Rees)
Laura Stanley, Upper Triangular Matrices and Operations in Odd Primary Connective K-theory (link) (supervised by Sarah Whitehouse)
Wei Wang, Signal processing methods to improve ocean wave estimation from a high frequency surface wave radar (link) (supervised by Lucy Wyatt)
Lu Zou, Paired Treatments Comparison using Multiple Incomplete Longitudinal Biomarkers (supervised by Nick Fieller)

2011

Nor Afzalina Azmee, Statistical Issues Concerning Three-arm Non-Inferiority Trials (supervised by Nick Fieller)
Theresa Cain, Bayesian Inference for Health State Utilities using Pairwise Comparison Data (link) (supervised by Jeremy Oakley)
Orestis Chrysafis, On the Structure and Dynamics of Complex Networks (supervised by Chris Cannings, cosupervised by Chris Cannings)
Peter Gregory, Bayesian modelling of positively skewed data with particular application to the cost aspect of medical cost-effectiveness analysis (link) (supervised by Anthony O'Hagan)
Marialejandra Luna Cardozo, Slow MHD waves in stratified solar waveguides (supervised by Robert von Fay-Siebenburgen)
Arjun Malhotra, The Gromov-Lawson-Rosenberg conjecture for some finite groups (supervised by John Greenlees)
Andrew Newton, Transport in Sheared Turbulences (supervised by Eun-jin Kim)
Shijie Ren, Incorporating Prior Information into Clinical Trial Design (supervised by Jeremy Oakley)
David Robertson (supervised by Michael Ruderman)
Noel Robertson, Model-based and satellite estimates of snow hydrology and carbon fluxes at high latitudes (supervised by Shaun Quegan)
Eamon Scullion, Investigating Jets In The Lower-To Mid Solar Atmosphere: Observations And Numerical Simulations (supervised by Robert von Fay-Siebenburgen)
Joel Weller, Models of Inflation and Dark Energy with Coupled Scalar Fields (supervised by Carsten van de Bruck)

2010

Leonardo Bastos, Validating Gaussian Process Models in Computer Experiments (link) (supervised by Jeremy Oakley)
Lawrence Chan (supervised by Nils Mole)
Christopher Clack, Nonlinear resonant MHD Waves in solar plasmas (supervised by Istvan Ballai, cosupervised by Robert von Fay-Siebenburgen)
Lindsay Collins (supervised by Clive Anderson)
Mark Douglas, Solar coronal global waves impulsively driven MHD waves in the solar corona (supervised by Istvan Ballai)
Marta Emmett, Design of experiments with multivariate response (supervised by Eleanor Stillman)
Srilakshmi Krishnamoorthy (supervised by Neil Dummigan)
Christopher Malins (supervised by Robert von Fay-Siebenburgen)
Chutiphon Pukdeboon, Optimal higher order sliding mode controller designs for spacecraft attitude manoeuvres (supervised by Alan Zinober)
Kijti Rodtes, The Connective K Theory of Semidihedral Groups (link) (supervised by John Greenlees)
John Stevens, Latent Variable Modelling Of Effectiveness And Resource Use Data In Cost-Effectiveness Analysis Of Clinical Trials (supervised by Anthony O'Hagan)
Juan Suarez-Minguez, An analysis of the consequences of stand variability in sitka spruce plantations in Britain using a combination of airborne liDAR analysis and models (supervised by Shaun Quegan)
Jennifer Waters (supervised by Lucy Wyatt)

2009

Rajender Adibhatla (supervised by Jayanta Manoharmayum, cosupervised by Frazer Jarvis)
Bruce Bartlett, On Unitary 2-representations of finite groups and topological quantum field theory (supervised by Simon Willerton)
Zacky Choo, Computing Borel's Regulator (supervised by )
James Cranch, Algebraic Theories and (∞,1)- categories (supervised by Neil Strickland)
Anthony Hignett, Discrete Module Catergories and Operations in K-theory (supervised by Sarah Whitehouse)
Richard Jacques, Statistical Analysis of High Content Screening Data (link) (supervised by Nick Fieller)
Almar Kaid, On semistable and strongly semistable syzygy bundles (supervised by Moty Katzman)
Lucy Morecroft (supervised by Nick Fieller)
Michailina Siakalli, Stability properties of stochastic differental equations driven by Levy noise (supervised by David Applebaum)
Panagiotis Tsaknias, On Higher Congruences of Modular Galois Representations (supervised by Frazer Jarvis)

2008

David Barnes, Rational Equivariant Spectra (supervised by John Greenlees)
Paul Buckingham, The canonical fractional Galois ideal at s = O (supervised by )
John Fry, Statistical Modelling of Financial Crashes (supervised by David Applebaum)
James Hargreaves, Wave Propagation in Stratified Plasmas (supervised by Robert von Fay-Siebenburgen)
Victoria Hinchcliffe, The Filter Dimension is Morita Invariant (supervised by Vladimir Bavula)
Lynsey McColl, Statistical tools for investigating contemporariety and co-location in archaeological records. (supervised by Caitlin Buck)
Mary-Jane Strong, Additive Unstable Operations in Complex K-Theory and Cobordism (supervised by Sarah Whitehouse)
Gary Verth, Magnetoseismology of the Solar Corona (supervised by Robert von Fay-Siebenburgen, cosupervised by Eun-jin Kim)
Ian Young, Symmetric Squares of Modular Abelian Varieties (supervised by Neil Dummigan)