Applied Mathematics PhD

Postgraduate doctoral research degree in Applied Mathematics PhD/MSc by Research:

Training is provided through individual supervision of research, by advanced seminar courses and conferences, and by generic courses. 

The PhD degree usually involves a qualifying dissertation submitted during the second year of study, which is helpful training for writing the PhD thesis.

EU Referendum

Answering your questions and concerns about the outcome of the EU referendum.

Training is provided through individual supervision of research, by advanced seminar courses and conferences, and by generic courses. The PhD degree usually involves a qualifying dissertation submitted during the second year of study, which is helpful training for writing the PhD thesis.

The Applied Mathematics Research Group works on a wide variety of topics in a range of areas such as applied analysis, fluid mechanics, mathematical biology, financial mathematics and computational mathematics.

The research in applied analysis studies reaction-diffusion equations, nonlinear waves and perturbation theory. Inverse problems are also an active area of investigation. 

The area of fluid mechanics is a traditional research field in the School. Active research is pursued in the areas of bubble dynamics and biological and physiological fluid mechanics, dynamic wetting, flows with transitions in the topology of the flow domain, dynamics of liquid jets and drops, flows with phase transitions, fuel cells and many more. A School supercomputer is available for research. Research students' work often arises from industrially motivated problems or develops new directions in existing research projects.

Research in Computational Mathematics includes numerical solution of partial differential equations, design and analysis of algorithms for large-scale problems, numerical linear algebra and matrix analysis.

The area of financial mathematics represents a new and exciting field of research. Topics of research including both modelling and computational finance and may be pursued in the School or in collaboration with the School of Economics.

Related links

School of Mathematics

Why study this course

The School of Mathematics has a strong research culture, with researchers of international stature in each of its main specialisms.

We have:

  • around 50 members of academic staff
  • around 60 full-time postgraduate students (UK, EU and International)
  • regular research seminars and specialist meetings providing a stimulating research environment and opportunities to interact with international experts; see the Birmingham Mathematics Institute

Currently thriving at Birmingham are the following research groups: Applied Mathematics: applied analysis, financial mathematics, fluid mechanics, mathematical biology, nonlinear waves, scientific computing Theoretical and Computational Optimization: mathematical theory and methods applicable to managerial decision-making, particularly non-linear, discrete, and multi-criteria optimization Pure Mathematics: algebra, analysis, combinatorics and logic Statistics: nonparametric, robust methods, time series analysis and medical statistics

Related staff

Fees and funding

We charge an annual tuition fee. Tuition Fees 2018/19 academic year:

  • £4,270 UK/EU students, full-time
  • £2,135 UK/EU students, part-time
  • £15,720 International students, full-time

Learn more about fees and funding.

Scholarships and studentships

Sources of funding may include the EPSRC, the BBSRC, the Knowledge Transfer Partnership (KTP), the European Union and industrial funding for UK and EU students.International students can often gain funding through overseas research scholarships, Commonwealth scholarships or their home government.
For further information contact the School directly or email

We award up to ten home/EU EPSRC doctoral training grants each year to eligible students. In exceptional circumstances fully-funded School doctoral training grants may be awarded. Additional income can often be generated by tutorial and marking work.

Entry requirements

A 2:1 Honours degree in a Mathematics-related subject, or a lower degree plus an MSc or substantial relevant experience. Learn more about entry requirements

How to apply

When clicking on the Apply Now button you will be directed to an application specifically designed for the programme you wish to apply for where you will create an account with the University application system and submit your application and supporting documents online. Further information regarding how to apply online can be found on the How to apply pages

Apply now

We are internationally renowned for our world-leading research, which involves international and multidisciplinary collaboration. We have strong research groups in algebra, analysis, combinatorics, continuum mechanics, initiatives and infrastructures, mathematical biology, nonlinear systems, numerical analysis, statistics, and theoretical and computational optimization.

The Applied Mathematics Group is recognised for world leading and internationally excellent research and has collaborations with researchers from industry, healthcare, and other areas of science and engineering.

Visit our Applied Mathematics research group website for further information.

Teaching and Learning

Training is provided through individual supervision of research, by advanced seminar courses and conferences, and through MAGIC taught courses (see below). The PhD degree involves a qualifying dissertation submitted during the second year of study. We expect students to give seminars, attend conferences and present papers, preparing them for professional life.

A successful PhD student will produce independent and original research work which should contribute to knowledge in the chosen field. This should be an exciting and extremely rewarding experience.

The School of Mathematics is a founding member of MAGIC, the 'Mathematics Access Grid: Instruction and Collaboration'. This is an interactive video conferencing resource, which is used to present lectures to postgraduate students across the whole of England. Our postgraduate lectures are broadcast to about 20 English universities and our students have the opportunity to collaborate with students and academics in other universities. This is a very exciting development and means that postgraduate students will have access to lecturers not available on their own campus.

All PhD students must take five 10 credit graduate level courses during their first three years of study. These are typically MAGIC courses, but they can also be courses presented at Summer Schools or final year undergraduate courses.

We have a vibrant postgraduate society called BUMPS which provides an active social network for research students.

Our webpage for current postgraduate students includes:

  • a comprehensive guide for PhD students
  • a list of recent theses

Related research

Find a PhD

University Careers Network

Preparation for your career should be one of the first things you think about as you start university. Whether you have a clear idea of where your future aspirations lie or want to consider the broad range of opportunities available once you have a Birmingham degree, our Careers Network can help you achieve your goal.

Our unique careers guidance service is tailored to your academic subject area, offering a specialised team (in each of the five academic colleges) who can give you expert advice. Our team source exclusive work experience opportunities to help you stand out amongst the competition, with mentoring, global internships and placements available to you. Once you have a career in your sights, one-to-one support with CVs and job applications will help give you the edge.

If you make the most of the wide range of services you will be able to develop your career from the moment you arrive.