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We have 301 Applied Mathematics PhD Projects, Programmes & Scholarships for UK Students






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Applied Mathematics PhD Projects, Programmes & Scholarships for UK Students

We have 301 Applied Mathematics PhD Projects, Programmes & Scholarships for UK Students

A PhD in Applied Mathematics involves trying to simplify complex real-world problems to simple mathematical equations and working on finding possible solutions. You’ll be using your knowledge of Maths to research and find solutions to problems that have been identified in other related fields like Physics, Biology or Engineering.

What’s it like to do a PhD in Applied Mathematics?

As one of the categories of mathematical research, an Applied Mathematics PhD does have a huge component of pure maths. However, you will find that what sets it apart from the rest is the focus on collaboration with other STEM fields.

Some popular research topics in Applied Mathematics include:

  • Computational analysis
  • Cyber security
  • Theoretical physics
  • Quantum information
  • Financial mathematics
  • Statistical physics
  • Mathematical biology

Whichever field of research you choose to pursue, you will be expected to identify a challenge in a field of your choosing and find new ways to meet it.

Like most STEM subjects, Applied Mathematics doctoral programmes are advertised with a research objective already given. However, you can also propose your own research project. It is a good idea to have a word with a prospective supervisor about the scope of your project before you make a formal application.

A PhD in Applied Mathematics will usually involve 3-4 years of full-time study and will end in you submitting a thesis of around 80,000 words to be defended in an oral viva exam.

In the UK, you may be asked to first register for a MPhil. You can upgrade to a PhD, after a review at the end of your first year, if your supervisor feels your work meets certain standards.

In addition, you may be asked to take certain taught modules in areas of Mathematics like differential equations and analytical and numerical methods that you may require during your research. Even though these modules are not compulsory, they are encouraged to help improve your knowledge and support you in your research.

Entry requirements

If you’re aspiring to do a PhD in Applied Mathematics you’d normally need a Masters with Merit or Distinction in a relevant mathematical subject like Physics, Maths or Engineering. Depending on where you choose to apply, you may also need to show that you have a level of language proficiency in your university’s language of instruction.

PhD in Applied Mathematics funding options

In the UK, the Engineering and Physical Sciences Research Council (ESPRC) funds Applied Mathematics PhDs. The ESPRC offers fully-funded studentships including a monthly stipend. If you are applying for an advertised funded programme, then funding is guaranteed provided you are successful in your application. If you’re proposing your own research project you will have to be accepted into a university before being eligible for Research Council funding.

If you are also researching in environmental areas as part of your PhD, you may be eligible for studentships offered by the Natural Environment Research Council (NERC).

PhD in Applied Mathematics careers

The skills and knowledge you’ll gain while completing a PhD in Applied Mathematics will not only prepare you for a career in research and academia, but you’ll also be a perfect fit in the industry. Governments, pharmaceuticals and finance firms are some typical employers who hire graduates with a PhD in Applied Mathematics..

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Inverse Problems

The University of Bath is inviting applications for the following PhD project, ideally commencing in September 2024. Overview of the Research. Read more

Advancing diabetes screening through data driven approaches

Additional supervisor. Dr Joie Ensor, University of Birmingham. This exciting project aims to update the Diabetes UK “Know your Risk” tool ( which is based on the Leicester Diabetes Risk Score. Read more

Sequential Bayesian inference in complex and realistic dynamical systems

This PhD position will be at the interesting overlap between computational statistics, Bayesian analysis, statistical signal processing, and machine learning, motivated by applications that aim to improve human life and environment. Read more

The University of Manchester - Department of Mathematics

The Department of Mathematics at Manchester is one of the largest Mathematics Departments in the UK and has been home to some of the brightest postgraduate and academic mathematicians. Read more

Valuing Green Infrastructure for a Well adapted UK

  Research Group: School of Civil Engineering
It is widely accepted that we cannot simply build our way out of the climate & biodiversity emergency (e.g. using traditional grey infrastructure solution). Read more

Can dynamic remodelling of fibrin fibres under load account for the remarkable mechanical properties of blood clots?

Please note that this project will be based in the School of Medicine. To fulfil its physiological role as the scaffold of blood clots, fibrin has large extensibility and strain stiffening behaviour, which make it deformable but tough at the same time. Read more

Importance Sampling for Computing Extremes

  Research Group: School of Mathematics
Extreme climate events such as prolonged heatwaves, heavy rainfall, and severe windstorms with return periods of hundreds of years or more have severe impacts when they occur. Read more

PhD Projects in Mathematics

The Department of Mathematics at King’s College London invites applications for PhD students to start in October 2024. There are a number of fully funded studentships available for excellent candidates. Read more

QUADRAT DTP: Sensing extreme coastal waves

This fully funded, 42-month PhD project is part of the QUADRAT Doctoral Training Partnership. Ocean waves are the fundamental drivers of most coastal processes, from mixing to sediment transport and coastal erosion. Read more

PhD in Computing Science - Extending self-calibrating interfaces to direct control tasks

This project will build on and combine previous work from the two supervisors under one applied demonstrator. In the process, you will learn, develop, and study new algorithmic technics worthy of publication in top international machine learning conferences such as NeurIPS or ICML. Read more

Earth’s small-scale structure – Massive datasets and machine learning

The interior of the Earth holds the record of the evolution of the planet and the imprint of ongoing processes. Lithospheric material is transported into the deep interior through subduction and then distributed throughout the mantle by convection. Read more

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