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Mathematics MPhil, PhD

Next start date
September 2026 January 2027 April 2027
Typical entry requirements
View full entry requirements
Course delivery
On Campus

Course information for entry year:

Overview

In Pure Mathematics our two main fields are functional analysis and geometric algebra. In Applied Mathematics our research is predominantly in fluid mechanics, astrophysics and cosmology.

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.

Quality and ranking

All professional accreditations are reviewed regularly by their professional body

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

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.

Visit our Careers Service website

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)

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:

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.

Visit our events calendar for the latest events

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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