Maths postgraduate research degrees
Mathematics postgraduate research degrees
If you're ready to take your existing knowledge and qualifications in Mathematics into a postgraduate research degree, Portsmouth is the perfect place to achieve your goals.
Our existing research in Mathematics challenges the way we think about and use numbers, and using our expertise to find solutions to some of the planet's most-pressing technological, environmental and societal problems. When you join us to study for a postgraduate research degree, you'll have the opportunity to make your own contribution to the work we're doing – and play an important role transforming our research into impact.
Across our areas of expertise in industrial mathematics, and applied mathematics, nonlinear and complex systems, we're delivering exceptional collaborative research – in the most recent Research Excellence Framework (REF 2014), 61% of our submissions were rated either world-leading (4*) or internationally excellent (3*).
Types of research degrees
Find out about our PhD, MPhil, and PhD by Publication opportunities in Maths below, including how to apply, entry requirements and funding your degree. For more detailed information about the application process, visit our How to Apply pages.
Mathematics PhDs and MPhils
Explore our pre-approved funded and self-funded PhD projects in Mathematics, or submit your own research idea.
PhD and MPhil projects
- Modelling language evolution with automated speech analysis and machine learning
- On the dynamics of drug-cancer cells interactions with the aid of continuous and hybrid multiscale models
- Computational Category Theory
- Improving passenger’s experience using tactical and real-time train scheduling and routing algorithms
- Mathematical models to underpin lithium-ion batteries
- Multiphoton Quantum Information Processing and Sensing
- Inventory policies for a remanufacturing system with returns forecast from past sales
- Using deep learning to optimise the large-scale vehicle routing problems
- Resilient pharmaceutical supply chain design – Case studies in drug discovery
- Metric techniques in topological data analysis
- Quantum simulation of complex quantum processes on superconducting qubits
- Development of multicaloric technologies for low carbon efficient cooling and heating systems
- Renormalisation in dynamical systems
- Resilient pharmaceutical supply chain design – case studies in drug discovery
- Mathematical Foundations of Topological Data Analysis; Theory & Applications
- Complex differential equations with algebraic singularities
- Gaining insight into the dynamics of drug-cancer cell interactions with the aid of continuous and hybrid multiscale models
- Data-driven spatial models of human societies
PhD by Publication
A PhD by publication is a postgraduate research degree based on research you've already undertaken and had published (excluding self-publishing) before registering with us.
Eligible research outputs include peer-reviewed academic papers, complete books or chapters in anthologies, and other materials accepted for publication, exhibited or performed. You'll have to submit these materials for examination between 6-12 months after registering with us.
For more information, please visit our PhD by Publication page.
Duration, fees and funding
What do my tuition fees cover?
If you're self-funding your PhD, you'll pay tuition fees to the University to cover course and university costs.
Your tuition fees cover:
- The cost of your postgraduate research programme* at the University as well as charges for registration, tuition, supervision, and examinations
- Bespoke training, professional development courses, networking, and research support through The Graduate School
- Research seminars and workshops (university-wide and faculty-specific)
- A contribution to funding to attend a conference or development activity in your research field
- Tailor-made weekly and monthly events, including weekly, themed experienced researcher-led talks and workshops
- Helping you become part of our thriving research community, including Research and Innovation services where 78% of our research impact was rated as world-leading or internationally excellent in REF 2014
- Your graduation ceremony
- Viva examination and administration costs
- The facilities and equipment you need to complete your studies, such as computer rooms, access to laptops, the Library, and laboratories
- Access to resources including electronic journals, alternative guide to funding, and thousands of hours of educational videos on LinkedIn Learning
- University support services including academic, financial, careers and wellbeing support and personal tutors
- Membership of the Students' Union (giving you the right to vote in elections, join clubs and societies, and get free independent advice)
- Access to software such as Microsoft Office, SPSS and Adobe Creative Suite (this includes Photoshop, InDesign, and Adobe Premiere Pro)
*Please note that some research programmes may come with additional bench fees.
How long will my research degree take?
- MPhil: 2 years full-time, 4 years part-time
- PhD: 3 years full-time, 6 years part-time
- PhD by Publication: 1 year part-time
How much will my research degree cost?
2021/2022 fees (applicable for October 2021 and February 2022 start)
- Home/EU/CI full-time students: £4,407 p/a*
- Home/EU/CI part-time students: £2,204 p/a*
- International full-time students: £17,600 p/a*
- International part-time students: £8,800 p/a*
PhD by Publication
- External candidates: £4,407 p/a*
- Members of University of Portsmouth staff: £1,720 p/a
All fees are subject to annual increase. If you are an EU student starting a programme in 2021/22 please visit this page.
*This is the 2020/21 UK Research and Innovation (UKRI) maximum studentship fee; this fee will increase to the 2021/22 UKRI maximum studentship fee when UKRI announces this rate in Spring 2021.
Some PhD projects may include additional fees – known as bench fees – for equipment and other consumables, and these will be added to your standard tuition fee. Speak to the supervisory team during your interview about any additional fees you may have to pay. Please note, bench fees are not eligible for discounts and are non-refundable.
MPhil full-time and part-time courses are eligible for the Government Postgraduate Loan.
PhD full-time and part-time courses are eligible for the Government Doctoral Loan.
For information on other sources of funding, visit our funding your postgraduate research degree page.
The entry requirements for a PhD or MPhil include a good honours degree or equivalent in a relevant subject, or a master’s degree in an appropriate subject. Equivalent professional experience and/or qualifications may be considered. All applicants are subject to interview.
If English is not your first language, you'll need English language proficiency at a minimum of IELTS band 6.5 with no component score below 6.0.
If you don't meet the English language requirements yet, you can achieve the level you need by successfully completing a pre-sessional English programme before you start your course.
Support and facilities
When you join us, you'll be supported by our Graduate School, alongside your assigned supervisory team, who'll help you get the most from our facilities. The Graduate School will help you become part of our thriving, collaborative research community, and help grow your skills as a researcher through the Graduate School Development Programme, which offers training, workshops and events.
What can a postgraduate research degree do for my career?
Once you complete your postgraduate research degree, you'll be a highly-skilled researcher with the knowledge and skills to make an impact in many different industries.
Your postgraduate research qualification demonstrates to potential employers that you're an intelligent, capable and motivated person, with provable abilities and experience in critical thinking, problem-solving, project management, communication, leadership and creativity.
Explore the work we're doing in our areas of research expertise in Mathematics.
Our applied mathematicians are using their expertise to make the world a better place, and working on applications in areas including engineering, biology, and medicine.