Applied Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in Liverpool

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..