Research overview
Join the School of Mathematical Sciences to work on projects in both fundamental and applied mathematical sciences that can be applied to solve a wide range of real-world problems. Projects cover the areas of:
- Pure mathematics
- Applied mathematics
- Statistics and probability
- Mathematical education
Why choose this programme?
We’re seeking enthusiastic research students who are eager to shape the future of mathematical sciences and have a positive impact to the world. Our research projects encompass a wide range, from developing innovative mathematical models to utilizing mathematical sciences for creating sustainable materials and advancing healthcare. Join us and contribute to making a difference in the world through your passion for research.
Our research activities revolve around three captivating research themes, encompassing both traditional areas and emerging, multidisciplinary challenges:
- Data-driven modelling and computation
- Teaching and learning in mathematics higher education
- Algebra and Cryptography
Course content
Throughout your PhD you will focus on learning what information is already published and identifying gaps in knowledge. You will start to formulate your own research questions and develop skills to become a professional researcher.
- Study the research literature in your field, guided by your PhD advisor.
- Attend seminars on modern research.
- Take additional training in mathematical sciences and research skills.
- Conduct research and obtain novel results.
- Be part of an active and welcoming community of research students.
- Write annual reports and journal publications to communicate your research findings.
- Complete a written thesis of up to 100,000 words.
- Take a verbal examination (viva voce) where you defend your research to an expert examination panel.
Learning assessment
The emphases are on both broadening your knowledge base and improving the skills and techniques relevant for doing research on thesis-specific matters.
The PhD programme includes a training element, which may include research work as well as traditional taught material, and will include assessed components, designed to support your research.
In each year you will have regular meetings with your supervisor and an annual review.
Entry requirements
All candidates are considered on an individual basis and we accept a broad range of qualifications. The entrance requirements below apply to 2025 entry.
Entry requirements
PhD
A master’s degree with a distinction or merit grade (or international equivalent), plus an upper second-class honours degree (2:1) (or international equivalent) in mathematics or a closely related discipline with substantial mathematical content. Non-UK qualifications will be assessed against this standard.
Or
A first-class honours degree (or international equivalent) in mathematics or a closely related discipline with substantial mathematical content. Non-UK qualifications will be assessed against this standard.
MPhil
An upper second-class honours degree (2:1) (or international equivalent) in mathematics or a closely related discipline with substantial mathematical content. Non-UK qualifications will be assessed against this standard.
Applicants must hold a degree from a recognised university. We welcome students from all academic backgrounds and consider a wide range of qualifications. For certain programmes, prior qualifications must be in related fields. As part of the admissions process, applicants may be invited to attend an interview if further evaluation is deemed necessary.
Eligibility can only be confirmed upon submission of a complete application.
English language requirements
| IELTS (Academic) | 6.0 (with no less than 5.5 in each element) |
| TOEFL (iBT) | 80 (minimum 17 in Writing and Listening, 18 in Reading, 20 in Speaking) |
| PTE (Academic) | 65 (with no less than 59 in each element) |
| MUET | Band 4 |
- IELTS (Academic), TOEFL iBT, and PTE (Academic) test results must be less than two years old.
- IELTS One Skill Retake is accepted.
- IELTS Academic Online, TOEFL iBT Home Edition, and PTE Academic Online are not accepted.
- MUET results are valid for five years from the release date.”
Support
The School of Mathematical Sciences provides dedicated support to its postgraduate researchers. Your supervisors will support you throughout your research period. There is also further support within the school including:
- Mentoring system amongst research students.
- Mental health support in the form of regular meetings for research students only.
- Dedicated contacts for Support and Wellbeing, and for PGR Student Advice.
In addition, you will have access to a range of support services, including:
- academic and disability support
- childcare services
- counselling service
- financial support
- mental health and wellbeing support
- visa and immigration advice
- welfare support
Careers
Career opportunities
A postgraduate qualification in Mathematics or Statistics can lead to roles such as academic, data scientist, policy analyst or economist in government organisations and research institutes, banks and investment companies, health research institutes, or as management consultants in finance, insurance, IT, engineering, market research and management consulting
Career advice
The Careers Advisory Service (CAS) provides you with essential resources and guidance in your career development. There are many opportunities awaiting for you to develop the skills needed to plan and manage your future.
Job prospects
Besides career in academia, PhD graduates in mathematics are in great demand in several sectors, including banking, finance, consulting, data analysis, and various types of industrial research.
Some of the job opportunities for PhD graduates in mathematics are:
- Assistant Professor
- Consultant
- Data scientist
- Mathematical Modeller
- Project leader
- Post-doctoral researcher
- Research scientist
- Statistician
