Mathematics and Statistics Integrated PhD

Mathematics and Statistics Integrated PhD

Full time: 48 months
Part time: 96 months


The Integrated PhD combines taught Masters’ level modules with doctoral level study and will provide an opportunity to make a unique contribution to mathematics and statistics research.

As a research postgraduate in the School of Mathematics, Statistics and Physics you will be working under the supervision of an expert in your chosen field. To help you identify a topic and potential supervisor, we encourage you to find out more about our staff specialisms.

Research areas

Supervision for the research element of the Mathematics and Statistics IPhD is broadly organised under the following areas:

Pure Mathematics has 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.

Applied Mathematics have research interests in :

  • fluid dynamics, including numerical modelling of quantum fluids (superfluid liquid Helium and Bose-Einstein condensates). 
  • classical and astrophysical fluids (the Earth's core, planetary dynamos, accretion discs and galaxies). 
  • Cosmology, including the very early universe and quantum gravity

Statistics research breaks down into the following research groups:

  • Bayesian statistics, 
  • Biostatistics 
  • Statistical bioinformatics and stochastic systems biology

Research seminars and events

We run weekly research seminars in algebra and geometries, analysis, and applied mathematics, as well as postgraduate seminars led by students.

We also offer extensive personal development training in which you can gain presentation and interview skills, technical skills, and teaching skills.


The IPhD combines taught Masters’ level modules with research. The taught element consists of research training and subject-specific modules with a minimum credit value of 140. These modules help you develop the topic for your PhD thesis and equip you with the study skills to manage a research project.

On satisfactory completion of 100 credits of the taught component, two supervisors will be allocated to you to proceed to the research stage where you will undertake a thesis, normally not exceeding 50,000-words.

Your thesis and viva

The PhD is completed by writing a thesis describing your work and successfully defending this thesis in an oral examination, called a viva. At the viva, you will discuss your research with two examiners, including a leading researcher from outside Newcastle.

Partnerships and networks

We are part of:

The Joint Quantum Centre, broadly dedicated to various aspects of quantum science, is composed of members from Durham University and Newcastle University.

Student Profile

We are based in a great office with businesses working elsewhere in our building who have a lot of experience dealing with the types of problems we are researching.

Jack's student profile

Related Degrees

  • Mathematics MPhil, PhD

    We invite MPhil and PhD proposals in any of our research areas. 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.

  • Statistics MPhil, PhD

    We have a strong international reputation for making original contributions to Bayesian methodology, bioinformatics and biostatistics. We invite postgraduate research proposals in any of these three areas.

All related programmes

Training & Skills

As a research student you will receive a tailored package of academic and support elements to ensure you maximise your research and future career. The academic information is in the programme profile and you will be supported by our Postgraduate Researcher Development Programme and Research Student Support Team.

Researcher Development Programme

Our Science, Agriculture and Engineering Postgraduate Researcher Development Programme aims to help you develop the skills and experience that the UK Research Councils expect you to have, or to develop, during your research degree.

Our programme will help you to:

  • complete a training needs analysis, so that you know what your current skills are and where you need help and development
  • use your training needs analysis to create your personal development plan
  • identify appropriate workshops or other events that will help you most and best address your development needs
  • gain the personal and professional key skills development for the successful completion of your research degree

Postgraduate Research Student Support

Our award winning Research Student Support Team is dedicated to providing you with information, support and advice throughout your research degree studies. The team can help and advise you on a variety of issues from registration to producing your transcripts.

EPSRC Centre for Doctoral Training (CDT) in Cloud Computing for Big Data

The EPSRC Centre for Doctoral Training (CDT) in Cloud Computing for Big Data is a multi-million pound initiative, training the next generation of experts in the analysis of big data using advanced statistical methodologies and the latest cloud computing technologies. MRes plus PhD studentships are offered in this new area in which there is an acute skills shortage.

Computing scientists and statisticians work together on challenging problems in this exciting area. The CDT is supported by many industrial partners worldwide. It also has strong academic links with international groups.

Modules for 2017 entry

Stage 1

Compulsory modules
Optional modules

You take a further 80 credits from the following:

Further optional modules are also available. 

Stage 2

You will take a further 20 credits of modules from the modules not taken in Stage 1. You also follow either 20 hours of postgraduate lectures in pure or applied mathematics.

A minimum of 60 credits of modules are also taken from the Researcher Development Programme.

Stage 3

A minimum of 40 credits of modules are also taken from the Researcher Development Programme.

Module changes

Module changes

Modules change annually to take account of:

  • changing staff expertise
  • developments in the discipline
  • the requirements of external bodies and partners
  • student feedback.

Most module information for 2018 entry will be available from mid-May 2018.

Fees & Funding

2018-2019 fees

The fees displayed here are per year.

Integrated PhD


Full time: £4,800
Part time: £2,400


Full time: £4,800
Part time: £2,400


Full time: £18,600

Find out more about our tuition fees, including how to pay them and available discounts.

EU students starting at Newcastle in 2018 will pay the UK (Home) tuition fee for the full duration of their course.

Funding opportunities

Entry Requirements

A 2:1 honours degree, or international equivalent, in mathematics or statistics. We also accept MMaths and MPhys degrees. 

Find out the equivalent qualifications for your country.

Use the drop down above to find your country. If your country isn't listed please email: for further information.

English Language Requirements

Select an English language test from the list to view our English language entry requirements.

Please email us at for further information.

If you have lower English Language scores, you may be accepted onto a pre-sessional English course. 

You may need an ATAS (Academic Technology Approval Scheme) clearance certificate. You'll need to get this before you can get your visa or study on this programme. We'll let you know about the ATAS requirement in your offer letter.

How to Apply

Use our Applicant Portal to apply for your course. We have a step-by-step guide to help you.

Before you apply you need to find and contact a research supervisor from the Science, Agriculture and Engineering Graduate School.

We may invite you for interview or arrange a telephone interview. 

Start dates

There are usually three possible start dates, although in some circumstances an alternative start date can be arranged:

  • January
  • April
  • September

There is no application closing date for this course, but specific deadlines for funding may apply. 

We suggest international students apply at least two months before the course starts. This is so that you have enough time to make the necessary arrangements.


If you live outside the UK/EU you must:

  • pay a deposit of £1,500
  • or submit an official letter of sponsorship

The deposit is payable after you receive an offer to study at Newcastle University. The deposit is non-refundable, but is deducted from your tuition fees when you register.


Postgraduate Secretary
School of Mathematics, Statistics and Physics
Telephone: +44 (0) 191 208 6960

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