Mathematics MPhil, PhD
- Typical entry requirements
- View full entry requirements
- Course delivery
- On Campus
Course information for entry year:
Overview
We invite MPhil and PhD proposals in any of our research areas.
As a research postgraduate in the School of Mathematics, Statistics and Physics you'll work under the supervision of an expert in your chosen field.
Within each field of Pure Mathematics there are multiple subgroups. In analysis, one subgroup concentrates on operator theory and function theory, the other on Banach algebras, cohomology and modules. In algebra there are subgroups devoted to the study of infinite groups, and finite classical groups and their geometries.
Our Applied Mathematics staff have research interests in:
- astrophysical and geophysical fluid dynamics
- quantum matter
- mathematical biology and archaeology
- cosmology and quantum gravity
To help you identify a topic and potential supervisor, we encourage you to find out more about our staff specialisms.
Lists of example projects in Pure and Applied Mathematics are also available.
Important information
We've highlighted important information about your course. Please take note of any deadlines.
Please rest assured we make all reasonable efforts to provide you with the programmes, services and facilities described. However, it may be necessary to make changes due to significant disruption, for example in response to Covid-19.
View our Academic experience page, which gives information about your Ãå±±½ûµØ study experience for the academic year 2025-26.
See our terms and conditions and student complaints information, which gives details of circumstances that may lead to changes to programmes, modules or University services.
Quality and ranking
All professional accreditations are reviewed regularly by their professional body
If you’re studying an accredited degree and thinking about working in Europe after you graduate, the best place to find current information is the . This official resource explains whether your profession is regulated in another country, what steps you need to take, and which organisation you should contact.
What you'll learn
We run research seminars in algebra and geometries, analysis, and applied mathematics. Our postgraduate students also get the opportunity to lead seminars.
Specialist courses are offered through the , sponsored in part by the Engineering and Physical Sciences Research Council (EPSRC).
We're part of:
- the
- the
- , funded by the London Mathematical Society and the Edinburgh Mathematical Society
- the Joint Quantum Centre with Durham University
How you'll learn
As a Mathematics PhD or MPhil student you'll be supported by your supervision team. You'll also go through a research training analysis to identify any skills that you need to develop.
Depending on your modules, you'll be assessed through a combination of:
- Thesis
- Viva
We offer a wide range of projects for the thesis. These will be provided by our academics. You can also propose your own topic.
Our mission is to help you:
- stay healthy, positive and feeling well
- overcome any challenges you may face during your degree – academic or personal
- get the most out of your postgraduate research experience
- carry out admin and activities essential to progressing through your degree
- understand postgraduate research processes, standards and rules
We can offer you tailored wellbeing support, courses and activities.
You can also access a broad range of workshops covering:
- research and professional skills
- careers support
- wellbeing
- health and safety
- public engagement
- academic development
Find out more about our postgraduate research student support
Your development
Faculty of Science, Agriculture and Engineering (SAgE) researcher development programme
Each faculty offers a researcher development programme for its postgraduate research students. We have designed your programme to help you:
- perform better as a researcher
- boost your career prospects
- broaden your impact
Through workshops and activities, it will build your transferable skills and increase your confidence.
You’ll cover:
- techniques for effective research
- methods for better collaborative working
- essential professional standards and requirements
Your programme is flexible. You can adapt it to meet your changing needs as you progress through your doctorate.
Doctoral training and partnerships
There are opportunities to undertake your PhD at Ãå±±½ûµØ within a:
- Centre for Doctoral Training (CDT)
- Doctoral Training Partnership (DTP) / Doctoral Landscape Award (DLA)
Being part of a CDT or DTP/DLA has many benefits:
- they combine research expertise and training of a number of leading universities, academic schools and academics.
- you’ll study alongside a cohort of other PhD students
- they’re often interdisciplinary
- your PhD may be funded
If there are currently opportunities available in your subject area you’ll find them when you search for funding in the fees and funding section on this course.
The following centres/partnerships below may have PhD opportunities available in your subject area in the future:
Entry requirements
The entrance requirements below apply to 2026 entry.
Qualifications from outside the UK
English Language requirements
Admissions policy
This policy applies to all undergraduate and postgraduate admissions at Ãå±±½ûµØ. It is intended to provide information about our admissions policies and procedures to applicants and potential applicants, to their advisors and family members, and to staff of the University.
University Admissions Policy and related policies and procedures
Credit transfer and Recognition of Prior Learning
Recognition of Prior Learning (RPL) can allow you to convert existing relevant university-level knowledge, skills and experience into credits towards a qualification. Find out more about the RPL policy which may apply to this course
Your future
Your career
Our Mathematics and Statistics PhD graduates have pursued successful careers across academia and industry. Graduate roles in industry include:
- Associate Software Analyst, Cap Gemini
- Data Scientist, Jumping Rivers
- Mathematician, Light and Wonder
- Data Scientist, National Innovation Centre for Data
- Healthcare Scientist, NHS - Ãå±±½ûµØ Hospitals Foundation Trust
- Senior Information Analyst, North East Ambulance Service
- Principal Statistical Methodologist, Office for National Statistics
- Financial Analyst, Oliver Wyman
- Data Science Lead, Kani Payments
Graduate roles in academia include:
- Lecturer, Ãå±±½ûµØ
- Research Associate, Ãå±±½ûµØ
- Teaching Fellow in Mathematics, Cardiff University
- Postdoctoral Researcher, Duke University
- Postdoctoral Researcher, Università degli Studi di Verona
- University Research Fellow, Universiti Kebangsaan Malaysia
- Postdoctoral Researcher, University of Reading
- Lecturer in Mathematics, Queen Mary University
- Research Fellow, Università degli Studi di Cagliari
Our Careers Service
Our expert Careers Service is here to help you take the next steps in your professional life. We will support you while you’re studying with us and for up to three years after you graduate.
You will have access to expert one-to-one advice and guidance through our campus careers centre and online, along with digital resources, workshops, networking opportunities, and careers and recruitment events.
We’ve been awarded 5 QS Stars for Student Employability (2025). Many of our degrees are shaped by strong links with national and international businesses. We are committed to helping you access real-world experience opportunities and develop key skills through paid work placements and internships.
Facilities
The Herschel Building is home to all mathematics, statistics and physics teaching and can be found right in the heart of campus.
Fees, Funding and Scholarships
Tuition fees for 2026 entry (per year)
Home fees for research degree students
As a general principle, you should expect the tuition fee to increase in each subsequent academic year of your course, subject to government regulations on fee increases and in line with inflation.
Depending on your residency history, if you’re a student from the EU, other EEA or a Swiss national, with settled or pre-settled status under the EU Settlement Scheme, you’ll normally pay the ‘Home’ tuition fee rate and may be eligible for Student Finance England support.
EU students without settled or pre-settled status will normally be charged fees at the ‘International’ rate and will not be eligible for Student Finance England support. You may be eligible for a scholarship worth 25% off the international fee. Search our funding database.
If you are unsure of your fee status, check out the latest guidance .
Scholarships
We support our EU and international students by providing a generous range of Vice-Chancellor's automatic and merit-based scholarships. See our searchable postgraduate funding page for more information.
Search for funding and scholarships
Find funding available for your course
What you're paying for
Tuition fees include the costs of:
- matriculation
- registration
- tuition (or supervision)
- library access
- examination
- re-examination
- graduation
Find out more about:
If you are an international student or a student from the EU, EEA or Switzerland and you need a visa to study in the UK, you may have to pay a deposit.
You can check this in the How to apply section.
If you're applying for funding, always check the funding application deadline. This deadline may be earlier than the application deadline for your course.
For some funding schemes, you need to have received an offer of a place on a course before you can apply for the funding.
How to apply
Using the application portal
The application portal has instructions to guide you through your application. It will tell you what documents you need and how to upload them.
You can choose to start your application, save your details and come back to complete it later.
If you’re ready, you can select Apply Online and you’ll be taken directly to the application portal.
Alternatively you can find out more about applying on our applications and offers pages.
Open days and events
Find out about how you can visit Ãå±±½ûµØ in person and virtually
Overseas events
We regularly travel overseas to meet with students interested in studying at Ãå±±½ûµØ.
Get in touch
Questions about this course?
If you have specific questions about this course you can contact:
Postgraduate Secretary
Telephone: +44 (0) 191 208 6960
Email: maths.physics.pg@ncl.ac.uk
School of Mathematics, Statistics and Physics
ncl.ac.uk/maths-physics
Enquiries
If you've got a question about your application, send us an enquiry via the application portal you applied through.
If you haven't applied yet, or have a general enquiry, you can send your questions via our enquiry form.
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