Exit Menu

Mathematical Sciences Integrated PhD

Enquire now Subject area: Mathematics Open Evening How to apply

Apply full time January entry

Apply full time October entry

Mode of study

4-year full-time



Start date

January, October

Mathematical Sciences Integrated PhD


About the course

The Brunel Integrated PhD combines PhD research with a programme of structured research, professional and subject training. The programme typically takes 4 years (compared to 3 years for a non-integrated PhD programme). On successful completion, you will be awarded a PhD with an Integrated Postgraduate Diploma in Research in your chosen subject specialisation.

You will benefit from this programme immensely if you want to:  

  • receive a more much guided and hands-on supervision of your learning and research process, especially if you come from more traditional teaching cultures
  • increase your changes for a timely completion of your PhD programme in comparison to students taking traditional route PhD, cutting down the expenses associated with prolonged study
  • access to tailored, highly specialist research training not available as part of the support provided to traditional route PhD students
  • maximise your changes for a successful research analysis by applying practical assignments and training which are part of the integrated PhD directly to the research you do for your thesis     
  • receive an official Postgraduate Diploma in Research in addition to your PhD award to certify the completion of skills training which may be required by employers in some countries if you wish to pursue an academic career 

Research profile

Considering the expertise and track record of the Department staff, the following areas have been identified as the main research strengths within the Department of Mathematics:

  • Applied Mathematical Analysis
  • Computational Mathematics
  • Continuum Mechanics and Waves
  • Discrete Mathematics and Combinatorics
  • Financial Mathematics and Risk Analysis
  • Geometry
  • Mathematical Physics
  • Operational Research
  • Probability, Statistics and Data Analytics 

Research groups

Research centres

Mathematics sits within the College of Engineering, Design and Physical Sciences. Brunel has three academic Colleges that are all research active. They deliver world-class teaching and conduct specialised research, offering students a wealth of opportunities. 

Potential research projects  

PhD/MPhil applications are invited in the following areas:

  • Applied Mathematical Analysis
  • Combinatorics
  • Computational Mathematics
  • Continuum Mechanics and Wave Scattering
  • Financial Mathematics
  • Mathematical Physics
  • Operational Research
  • Statistics


Contact our Enquiries team.
Course Enquiries: +44 (0)1895 265599 (before you submit an application)
Admissions Office: +44 (0)1895 265265 (after you submit an application)

Course Content

Integrated programme structure 2


PhD+ Award – An internship to work in the industry or perform a research outreach or enterprise activity.

PhD Plus is a career development scheme designed to provide an opportunity for excellent PhD students to undertake work experience and mentoring, and to facilitate their transfer into a career area of their choice. The awards are targeted at exceptional PhD students who have submitted their thesis within the expected submission date and will provide up to three months’ funded support for the period after submissions of their thesis and before the confirmation of the award. The precise number awards each year will depend on the quality of the applicants, up to a maximum 8 awards. The maximum amount to be awarded will be in line with RCUK rates for research training support grants: http://www.rcuk.ac.uk/skills/training/


Following the completion of the course students may follow several career paths:
  • Career path within academia starting as a Post-doc or Lecturer/Assistant Professor at a university
  • Career progression within research institutions commencing as a Researcher and progressing to Senior Researcher.
  • Career path within industry as a Research Scientist, Senior Research Scientists, Financial Analyst, etc.
  • Career path in secondary education as Maths teacher, Maths Subject Leader

At Brunel we provide many opportunities and experiences within your degree programme and beyond – work-based learning, professional support services, volunteering, mentoring, sports, arts, clubs, societies, and much, much more – and we encourage you to make the most of them, so that you can make the most of yourself.

» More about Employability

Entry Criteria 2018/19

The general University entrance requirement for registration for a research degree is normally a First or Upper Second Class Honours degree. All international students must show evidence that they meet the English requirement for their course of study. The Senate reserves the right to assess the eligibility of applicants on an individual basis.


Entry criteria are subject to review and change each academic year.

International and EU Entry Requirements

If your country or institution is not listed or if you are not sure whether your institution is eligible, please contact Admissions

This information is for guidance only by Brunel University London and by meeting the academic requirements does not guarantee entry for our courses as applications are assessed on case-by-case basis.

English Language Requirements

  • IELTS: 6.5 (min 6 in all areas)
  • Pearson: 58 (51 in all subscores)
  • BrunELT: 65% (min 60% in all areas)

Brunel University London strongly recommends that if you will require a Tier 4 visa, you sit your IELTS test at a test centre that has been approved by UK Visas and Immigration (UKVI) as being a provider of a Secure English Language Test (SELT). Not all test centres have this status. The University can accept IELTS (with the required scores) taken at any official test centre or other English Language qualifications we accept as meeting our main award entry requirements.

However, if you wish to undertake a Pre-sessional English course to further improve your English prior to the start of your degree course, you must sit the test at an approved SELT provider. This is because you will only be able to apply for a Tier 4 student visa to undertake a Pre-sessional English course if you hold a SELT from a UKVI approved test centre. Find out more information about it.

Brunel also offers our own BrunELT English Test and accepts a range of other language courses. We also have Pre-sessional English language courses for students who do not meet these requirements, or who wish to improve their English. Find out more information about English course and test options.

Teaching and Assessment


Supervisors with insight

Our supervisors create knowledge and advance understanding, and equip research students with the confidence to apply what they have learnt for the benefit of society. Browse all potential supervisor profiles further here.

Below we have listed our supervisors by research area:

  • Applied Mathematical Analysis (Dr. Bruveris, Dr. Furter, Dr. Krasikov, Prof. Mikhailov, Dr. Winter)
  • Computational Mathematics (Dr. Maischak, Dr. Shaw, Dr. Warby, Prof. Mikhailov, Prof. Whiteman)
  • Continuum Mechanics and Waves (Dr. Greenhow, Dr. Lawrie, Dr. Maischak, Prof. Mikhailov, Dr. Nolde, Dr. Pichugin, Dr. Shaw, Dr. Warby, Dr. Whiteman)
  • Discrete Mathematics and Combinatorics (Dr. Hall, Dr. Krasikov)
  • Financial Mathematics and Risk Analysis (Dr. Boguslavskaya, Dr. Date, Prof. Hughston, Dr. Meier, Dr. Roman, Dr. Vinciotti, Prof. Yu)
  • Geometry (Dr. Bruveris, Prof. Hughston, Dr. Kaloghiros, Dr. Meier)
  • Mathematical Physics (Prof. Hughston, Dr. Meier, Dr. Savin, Dr. Smolyarenko, Dr. Virmani)
  • Operational Research (Dr. Boguslavskaya, Dr. Date, Dr. Lucas, Dr. Roman)
  • Probability, Statistics and Data Analytics (Dr. Boguslavskaya, Prof. Hughston, Dr. Vinciotti, Prof. Yu)

 Find out  about working with the Supervisory Team here.

Special Features

Facts and Figures

Brunel University London REF2014 Submission: Mathematical Sciences. The Research Excellence Framework (REF) is a system for assessing the quality of research in UK higher education institutions. The results of the REF2014 have been made public in December 2014, replacing the previous REF conducted in 2008.  The next REF will be undertaken in 2020. Research Excellence Framework (REF) 2014 - A Guide for PhD Students

Study environment for research students
Find out more: Study environment for research students

Excellent research support and training 

Extensive training and support is offered to all research students by the Graduate School, with regular Masterclasses and individual advice on academic issues as part of the Researcher Development Programme. Read more about the available Research Support and Training.

Library services

Brunel's library is open 24 hours a day, has 400,000 books and 250,000 e-books, and an annual budget of almost £2m. Subject Information Specialists train students in the latest technology, digital literacy, and digital dissemination of scholarly outputs.

  • state-of-the-art research information management tools including a research publication and grant database
  • one of the largest UK’s full text repository
  • an integrated data management system
  • analytical tools such as Altmertic and InCites
  • Open Access centrally managed fund

Fees for 2018/19 entry

2018/19 Fees:

Home/EU students

Full time: £9,250

International students

Full time: £14,800     


2017/18 Fees:

Home/EU students

Full time: £9,000

International students

Full time: £14,400


Research funding

We offer a range of PhD studentships, partial scholarships, and academic prizes, to help with your research fees.  Explore external funding, particularly the Research Councils, as well as other support.

Additional course related costs

Fees quoted are per year and are subject to an annual increase.