We have 387 Applied Mathematics PhD Projects, Programmes & Scholarships

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Applied Mathematics PhD Projects, Programmes & Scholarships

We have 387 Applied Mathematics PhD Projects, Programmes & Scholarships

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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A computational fluid dynamics (CFD) investigation of endovascular aortic arch stent graft designs in relation to post-operative thrombus formation

Industry co-funded EPSRC PhD Studentship. An exciting opportunity for a fully-funded 42-month PhD studentship co-funded by a world-leading medical devices company and EPSRC is available at the Department of Biomedical Engineering at the University of Strathclyde. Read more

Funded PhD Project: How maternal behaviour and larval environment influence disease transmission in mosquitoes: a modelling and experimental approach

This project will be part of the Bristol-Macquarie Cotutelle Programme, funded by EPSRC. It will be jointly supervised by Dr Sinead English at the University of Bristol, UK and A/Prof Fleur Ponton at Macquarie University in Sydney, Australia. Read more

PhD Scholarship in Demography and Spatial Analysis

We invite applications from qualified and highly motivated students for a 3.5-year PhD Studentship in the intersection of Demography and Spatial Analysis. Read more

Artificial Intelligence for Virtual Characters in Computer Graphics and Computer Animation

Driving by the heavy demands from the games and animation industry, smart virtual characters underpinned by deep learning based artificial intelligence have received significant focus. Read more

Computer Vision with Responsible Artificial Intelligence for Human-Related Data

Human data is centric to many computer science, machine learning and biomedical engineering research. Such data includes human images/videos, motions and trajectories, medical images (X-ray, MRI, CT), faces, gestures, medical records, etc. Read more

Deep Learning Based Machine Vision for Space-Informed Applications

The increasing congestion of Earth's orbit with satellites and debris poses significant challenges in space activities, while sensors from space provide valuable data about the Earth to inform net zero. Read more
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A Bayesian inference approach to solving Poisson equation for 3D vector fields (Advert ref: RPG24-R/EE/MPEE/REGNIER)

Overview of the project. This project is being offered as part of the Leverhulme Trust grant awarded to Northumbria University entitled “A stochastic approach to solar magnetic field extrapolations”. Read more
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Machine Learning approaches to Acoustic Condition Monitoring for Wastewater and Stormwater Treatment Ref: 5147

Project Description. Condition monitoring is the process of monitoring the health and performance of machinery and equipment in real-time or periodically to identify any deviations from normal operating conditions. Read more

Optimisation of impinging jets for reduction of deposit formation

We are excited to offer a fully funded PhD opportunity in Mechanical Engineering at The University of Sheffield for someone with a passion for computational fluid dynamics modelling. Read more

Novel Finite Element Methods for Buckling Analysis

1.     Project Background and Relevance. Embark on an exhilarating research voyage into the heart of engineering systems with our cutting-edge project on the buckling of slender rods. Read more

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