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School of Mathematical Sciences

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  1. School of Mathematical Sciences
  2. Postgraduate
  3. Postgraduate Research
  4. PhD projects

PhD projects

The School of Mathematical Sciences invites applications for the following PhD projects:

Algebra and Number Theory

Project title Supervisor Funding
Periods and L-functions in higher rank settings Abhishek Saha  
Matroid Chern classes Alex Fink CSC
CSM classes of tropical varieties Felipe Rincon  
Topology of stable mapping spaces Navid Nabijou QMUL
A variation in the Breuil-Mezard conjecture and local-global compatibility for Hilbert modular forms Shu Sasaki CSC
Growth of automorphic forms and L-functions Subhajit Jana QMUL
Optimal Diophantine exponents for semisimple groups Subhajit Jana CSC

Combinatorics

Project title Supervisor Funding
Combinatorics of Social Choice Felix Fischer CSC
Connections between optimisation and extremal combinatorics Justin Ward  

Complex Systems and Networks

Project title Supervisor Funding
Higher-order networks structure and dynamics Ginestra Bianconi CSC
Including socioeconomic indicators into mathematical epidemic models Nicola Perra CSC
Analytical and computational model of the emergence and evolution of spatial patterns in networks with coloured nodes Vincenzo Nicosia  
Models of contagion and cascading failures in complex interacting systems Vito Latora  
Understanding creativity and success in modern innovation ecosystems Vito Latora  

Dynamical Systems and Statistical Physics

Project title Supervisor Funding
Stochastic modelling of frequency fluctuations in power grids of the future Christian Beck CSC
Variational properties of linear cocycles Ian Morris  
Topological invariants for symbolic dynamical systems with sparse irregularities Reem Yassawi CSC
Fighting fish - scaling functions for near-planar lattice models of vesicles Thomas Prellberg  
Quantum Monte Carlo methods for simulations of complex geometric clusters Thomas Prellberg  

Geometry, Analysis & Gravitation

Project title Supervisor Funding
p-evolution equations with low-regular coefficients Claudia Garetto CSC
Early Gravitational-wave Alerts for Multimessenger Astronomy with Machine Learning  Hong Qi CSC
Search for Dark Matter with Gravitational-wave Detectors Hong Qi CSC
Numerical investigation of particle dynamics in strong gravity Katy Clough CSC
Machine learning and geometry of simplicial complexes Michael Farber CSC
De Sitter matrix models and field theory Pau Figueras  
Gravitational waves in higher derivative theories of gravity Pau Figueras CSC
Quantum algebras in quantum computing Shahn Majid CSC
Regularity theory and singularity analysis of geometric PDEs via phase field approximations Shengwen Wang EPSRC DTP
From computational fluid dynamics to gravitational wave observations Charalampos Markakis  
Gravitational wave data science with the Laser Interferometer Space Antenna (LISA) Charalampos Markakis  

Probability and Applications

Project title Supervisor Funding
Local and global geometry of graphs and applications Anna Maltsev  
Random matrix approaches to quantum graphs Anna Maltsev  
High-dimensionality in finance: interconnectedness and risk management Linus Wunderlich  
Combinatorial moment sequences Natasha Blitvic  
Noncommutative words Natasha Blitvic  

Statistics and Data Science

Project title Supervisor Funding
Data-driven Image Processing Methods with Applications to Wildlife Conservation Kostas Papafitsoros EPSRC DTP
Multi-modal medical imaging with generative modelling and convergent regularisations Martin Benning  
Bayesian Analysis of Multiple Count Time Series Matteo Iacopini CSC
Giant cycles in random spaces Omer Bobrowski  
High-dimensional connectivity in random graphs Omer Bobrowski CSC
Higher-dimensional structure in weather data Nina Otter QMUL Principal's
Bayesian modelling of misaligned spatial data Silvia Liverani  

Application deadlines:

Applicants that wish to apply for the following funding sources please note that the application deadline for most funded projects is 31 January 2023 for September 2023 entry.

Other funding bodies may have different deadlines. See fees and funding for details.

We welcome applications from self-funded students throughout the year.

Projects with guaranteed funding may be added throughout the year and will state the application deadline in the project listing.

Enquiries and Further Information

For any general enquiries regarding the above PhD studentships please contact Dr Alex Fink, the Director of Postgraduate Research Studies, or Dr Ian Morris, the Deputy Director of Postgraduate Research Studies. For more administrative queries about the PhD programme at Queen Mary, please contact Katie Hale, the PGR Programmes Officer.

If you have already secured funding for your PhD studies and therefore do not wish your application to be considered within the studentship competition please state this on the appropriate part of your application form.

Choosing your Research Topic

It is highly recommended that first you make up your mind in which area of mathematics you wish to work and, ideally, to even think of prospective PhD supervisors at our School. It is important that your supervisor shares your research interests such that he/she can successfully guide you in your research. Many PhD students in mathematics do not pursue targeted research projects specified at the outset. Instead, they develop an agreed programme of study in discussion with their supervisor during their first year here. This programme tends to evolve in response to what has been learned during preliminary studies.

With this in mind, the important question for a prospective student is: Are my interests aligned with those of the School? The following links provide information on the general research strengths of the School:

Collaborative Research 

From time to time, we have projects available which are co-sponsored by an industrial partner, or which are run jointly with colleagues in another department at Queen Mary. Recent examples of the latter include the School of Biological and Chemical Sciences, the School of Electronic Engineering and Computer Science, and the Wolfson Institute of Population Health.

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