PhD Studentships in Mathematical Sciences

Following substantial recent investment in the Mathematical Sciences at Lancaster University, we invite applications for up to 12 fully funded PhD studentships in Pure Mathematics, Statistics and Operational Research for entry in October 2021.

Research projects

Any research areas in Pure Mathematics, Statistics and Operational Research will be considered, as long as they are consistent with those of a member of academic staff conducting research in Mathematical Sciences at Lancaster University, so particularly in the Department of Mathematics and Statistics, the Department of Management Science, the Centre for Health, Informatics and Statistics (CHICAS) in the Lancaster Medical School, as well as in University Research Centres and Research Institutes, such as the Data Science Institute. It is not necessary to submit a full research proposal but applications should indicate a preferred supervisor or supervisors and describe how the application aligns with one of the following strategic areas.

  • Pure Mathematics – Algebra, Geometry, Analysis, Probability, Discrete Mathematics and Geometric Rigidity.
  • Statistics – Bayesian and Computational Statistics, Changepoints and Time Series, Extreme Value Statistics, Medical and Social Statistics, Statistical Learning and Spatio-temporal Modelling.
  • Operational Research – including Optimisation, Simulation, Stochastic Modelling, Forecasting and Predictive Analytics.
  • Mathematical Sciences Interfaces – Proposals inspired by or engaging with a challenge emerging in a different discipline, such health or data science.

We also welcome proposals that align with applications in healthcare, energy, transportation, logistics, marketing or telecommunications.

Details of indicative projects being offered are listed below.

Pure Mathematics


Statistics and Operational Research


Application information

Remote supervision

Given the ongoing challenges created by COVID-19, supervision may be provided remotely for an initial period where necessary, with IT support from Lancaster University.

Entry Requirements

Applicants are expected to have, or shortly to be awarded, a first-class honours degree at MSci/MMath level or its equivalent, in Mathematics, Statistics or a related field, or a distinction in a pure mathematics MSc, in MSc Statistics or MSc Operational Research, or an equivalent qualification. Those who are excelling at BSc level will also be considered positively.

Funding eligibility

These studentships cover up to four years of full payment of tuition fees at the Home level plus an annual stipend for living expenses. All applicants are encouraged to apply and for exceptional overseas candidates it may be possible to offer a fee reduction to the Home level.

Application process

Applications are currently being considered on a rolling basis. Guidelines on the application process may be found at on the university "How to Apply" pages. When applying please select "Applying for specific award" when asked about funding and write "Mathematical Sciences studentships 2021" in the free text box.

Commitment to Equality, Diversity and Inclusion

We are committed to family-friendly and flexible working policies, and seek to promote a healthy work-life balance. The University is a charter member of Athena SWAN and has held a Bronze award since 2008, in recognition of good employment practice to address gender equality in higher education and research. The Department achieved its own Athena SWAN Bronze award in 2017 and is a registered supporter of the London Mathematical Society’s Good Practice Scheme. We welcome applications from people in all diversity groups.


Those interested in a studentship are encouraged to discuss their application with potential supervisors or the contact in the relevant area. Supervisors interested in offering a project should also discuss this with the appropriate contact.