School of Mathematical Sciences

PhD research projects

All the projects available for researchers interested in doing a PhD project in the School of Mathematical Sciences. Some projects are joint with other Schools.

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Complete list of projects

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Acceleration, black holes and thermality in quantum field theory

Description
Supervisor: Professor Jorma Louko

Analysing hormone dynamics to understand how plants respond to drought

Description
Supervisor: Professor Leah Band, Professor Markus Owen

Analysis of thin ferromagnetic films

Description
Supervisor: Dr Matthias Kurzke

Applied Probability-Statistics PhD

Description
Supervisor: Dr Wasiur KhudaBukhsh

Bayesian inversion in resin transfer moulding

Description
Supervisor: Dr Marco Iglesias, Prof Michael Tretyakov

Bayesian-geometric-inverse-problems

Description
Supervisor: Dr Marco Iglesias

Bayesian-Inference-for-Complex-Epidemic-Models

Description
Supervisor: Prof Philip O'NeillProf Theodore KypraiosProf Peter Neal

Bootstrap methods for hypothesis testing in non-linear models

Description
Supervisor: Prof Simon Preston

Categorification and higher representation theory

Description
Supervisor: Dr Robert Laugwitz

Cell signalling

Description
Supervisor: Prof John King

Coherent states, nonhermitian Quantum Mechanics and PT-symmetry

Description
Supervisor: Dr Sven Gnutzmann

Cohomology Theories for Algebraic Varieties

Description
Supervisor: Prof Alexander Vishik

Computational Finance

Description
Supervisor: Prof Michael Tretyakov

Computational methods for elliptic curves and modular forms

Description
Supervisor: Dr Christian Wuthrich

Computational methods for fitting stochastic epidemic models to data

Description
Supervisor: Prof Theodore Kypraios, Prof Philip O'Neill

Controlling bacterial biofilm formation with shape

Description
Supervisor: Dr Christopher Fallaize

Crystallisation in polymers

Description
Supervisor: Prof Richard Graham

Data-driven modelling of airway remodelling in health and disease

Description
Supervisor: Prof Bindi Brook, Prof Richard Wilkinson, Dr Reuben O'Dea

Deep Learning for Optimal Reduced-Order Scientific Computation

Description
Supervisor: Dr Kris van der Zee

Derived algebraic geometry in mathematical physics

Description
Supervisor: Dr Alexander Schenkel

Deriving physics-informed system-scale models for lithium-ion batteries

Description
Supervisor: Dr Matteo Icardi, Prof John King

Discontinuous Galerkin Finite Elements for Moving Boundary Problems

Description
Supervisor: Prof Matthew Hubbard

Dynamic survival analysis

Description
Supervisor: Dr Wasiur KhudaBukhsh

Dynamics of boundary singularities

Description
Supervisor: Dr Matthias Kurzke

Dynamics of entangled polymers

Description
Supervisor: Prof Richard Graham

Dynamics of vortex singularities in nonlinear PDE

Description
Supervisor: Dr Matthias Kurzke

Electromagnetically controlled surfactant concentrations in interfacial flows

Description
Supervisors: Dr Anna Kalogirou, Dr Matthew Scase

Endomorphisms of Banach algebras

Description
Supervisor: Dr Joel Feinstein

Entanglement and holography in quantum gravity

Description
Supervisor: Prof Gerardo Adesso

Experiments and modelling of instabilities in bilayer flows

Description
Supervisors: Dr Anna Kalogirou (Maths) and Dr James Sharp (Physics)

Exploiting network symmetries for analysis of dynamics on neural networks

Description
Supervisors: Dr Rachel Nicks, Prof Stephen Coombes

Fano varieties: stability and symmetries

Description
Supervisor: Dr Hamid Abban

Form, function and utility in small community energy networks

Description
Supervisors: Dr Reuben O'Dea, Dr Etienne Farcot

Foundations of adaptive finite element methods for PDEs

Description
Supervisor: Prof Kris van der Zee

Geometric integration of stochastic differential equations

Description
Supervisor: Prof Michael Tretyakov

Geometry of spanning lattice polytopes

Description
Supervisor: Dr Johannes Hofscheier

Geometry-based methods for statistics on functions and curves

Description
Supervisor: Prof Karthik Bharath

Gravity at all scales

Description
Supervisor: Prof Thomas Sotiriou

Higher categorical structures in quantum field theory

Description
Supervisor: Dr Alexander Schenkel

Hydrodynamic simulations of rotating black holes

Description
Supervisor: Prof Silke Weinfurtner

Iteration of quasiregular mappings

Description
Supervisor: Dr Daniel Nicks

Language Dynamics in Networks

Description
Supervisor: Dr Ruediger Thul

Linking epidemiological and genomic data for infectious diseases

Description
Supervisors: Prof Philip O'Neill, Prof Theodore Kypraios

Loss of tissue homoeostasis in asthma

Description
Supervisor: Prof Bindi Brook

Machine Learning and Gravitational Wave Astronomy

Description
Supervisor: Dr Stephen Green

Machine Learning for predicting yeast phenotype from genotype for biotech applications

Description
Supervisors: Markus Owen, Simon Preston, Jonathan Hirst

Machine learning methodology for training cardiac digital twins

Description
Supervisors: Richard Wilkinson, Yordan Raykov

Macroscopic limit of diffuse domain approximations for porous media

Description
Supervisor: Prof Kris van der Zee, Dr Matteo Icardi

Mathematical modelling of glioblastoma

Description
Supervisor: Prof Markus Owen

Mathematical modelling of macromolecular capillary permeability

Description
Supervisors: Dr Reuben O'Dea, Prof Matthew Hubbard

Mathematics Education and Scholarship Topics

Description
Supervisors: Katie Severn, Christopher Brignell, Thomas Wicks

Mean field limits of Ginzburg-Landau equations

Description
Supervisor: Dr Matthias Kurzke

Mirror Symmetry for Fano varieties

Description
Supervisor: Dr Alexander Kasprzyk

Mobile and wireless communication rates from phase space

Description
Supervisor: Dr Stephen Creagh

Modelling DNA Chain Dynamics

Description
Supervisor: Prof Jonathan Wattis

Modelling flow and crystallisation in polymers

Description
Supervisor: Prof Richard Graham

Modelling hospital superbugs

Description
Supervisors: Prof Philip O'Neill, Prof Theodore Kypraios

Modelling lymphatic vessel pumping

Description
Supervisors: Prof Bindi Brook, Prof Matthew Hubbard

Modelling of Emerging Diseases

Description
Supervisors: Prof Frank Ball, Prof Peter Neal

Modelling the vibro-acoustic response of complex structures

Description
Supervisor: Prof Gregor Tanner

Modelling wave propagation in meta materials a graph network approach

Description
Supervisors: Dr Stephen Creagh, Prof Gregor Tanner

Multiscale analysis of ion transport in electrochemical devices

Description
Supervisors: Dr Matteo Icardi, Prof John King

Multiscale approximations for stochastic reaction networks

Description
Supervisor: Dr Wasiur KhudaBukhsh

Multiscale modelling of vascularised tissue

Description
Supervisor: Prof Markus Owen

New frontiers in Gravitational Wave Astronomy

Description
Supervisor: Dr Laura Sberna

Next generation neural field models on spherical domains

Description
Supervisor: Dr Rachel Nicks

Non-semisimple tensor categories and topological field theory

Description
Supervisor: Dr Robert Laugwitz

Numerical methods for stochastic partial differential equations

Description
Supervisor: Prof Michael Tretyakov

Object oriented data analysis of networks

Description
Supervisors: Prof Ian Dryden, Prof Simon Preston

Optimisation of inhaled drug delivery in the asthmatic lung

Description
Supervisor: Prof Bindi Brook

P-adic L-functions in higher dimensions

Description
Supervisor: Dr Chris Williams

Parameter estimation and uncertainty quantification in a multidisciplinary study of asthmatic airway remodelling

Description
Supervisor: Prof Bindi Brook, Dr Reuben O'Dea, Prof Theodore Kypraios

Phase-field modelling of evolving interfaces

Description
Supervisor: Prof Kris van der Zee

Phase-field modelling of multi-phase flows with soluble surfactants

Description
Supervisor: Dr Anna Kalogirou, Prof Kris van der Zee

Phase-isostable descriptions of coupled oscillator networks

Description
Supervisors: Dr Rachel Nicks, Prof Stephen Coombes

Physically Informed Machine Learning

Description
Supervisors: Prof Richard Wilkinson, Prof Richard Graham

Physics-informed Machine Learning

Description
Supervisor: Luis Espath

Properties of Banach function algebras and their extensions

Description
Supervisor: Dr Joel Feinstein

Pseudo-orbit expansions in quantum graphs and their application

Description
Supervisor: Dr Sven Gnutzmann

Quadratic forms and forms of higher degree, nonassociative algebras

Description
Supervisor: Dr Susanne Pumpluen
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