PhD Applied Mathematics

Year of entry: 2022

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Overview

Degree awarded
Doctor of Philosophy
Duration
36 or 48 Months. [Full-Time]
Entry requirements

Applicants should have, or expect to obtain before the start of the course a:

  • 1st or upper 2nd class 4 year undergraduate degree (e.g. MMath) degree (or an equivalent overseas qualification) in a mathematical subject
  • MSc with Merit or Distinction (or an equivalent overseas qualification) in a mathematical subject.

In some research areas, a background in physics, engineering or computer science is also acceptable.

Full entry requirements

How to apply
Apply online   

Please include details of your previous study, your area of interest (or research project title, if known) and the name of the academic member of staff you would like to supervise your research.

We strongly recommend that you make contact with your proposed supervisor before submitting an application.

Programme options

Full-time Part-time Full-time distance learning Part-time distance learning
PhD Y Y N N

Programme description

The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium

Opportunities for PhD research are available in a wide range of topics in Applied Mathematics. For some of the available areas of possible PhD research see the current Applied Mathematics research areas. For more details about specific projects, please contact the relevant individual members of staff or get in touch with the Applied Mathematics Postgraduate Admissions Tutor .

Open days

For details of the next University Postgraduate open day, visit open days and visits

Fees

Fees for entry in 2022 have not yet been set. For reference, the fees for the academic year beginning September 2021 were as follows:

  • PhD (full-time)
    UK students (per annum): £4,500
    International, including EU, students (per annum): £24,500
  • PhD (part-time)
    UK students (per annum): £2,250
    International, including EU, students (per annum): £12,250

Further information for EU students can be found on our dedicated EU page.

Please note for the majority of projects where experimentation requires further resource: higher fee bands (where quoted) will be charged rather than the base rate for supervision, administration and computational costs. The fees quoted above will be fully inclusive and, therefore, you will not be required to pay any additional bench fees or administration costs.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of the course for UK/EU students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit: postgraduate fees . Always contact the Department if you are unsure which fee applies to your project.

Scholarships/sponsorships

Together with EPSRC and other national funding sources, the Department currently provides financial support to some 60 postgraduate students (approximately 15 new students per year). EPSRC DTA research studentships are available in all areas for UK and EU students. Students who are normally resident in the EU but not in the UK are eligible for EPSRC PhD studentships, but the awards in such cases currently cover only the course fees, not maintenance stipends.

In addition, about eight Department scholarships are also available each year to PhD students. PhD students may also have the opportunity to help in teaching undergraduate examples classes, for which they are paid.

For details of all available awards, please visit the Department's website .

Contact details

Department
Department of Mathematics
Contact name
Postgraduate Admissions Team
Telephone
+44 (0)161 275 0178
Email
Website
https://www.manchester.ac.uk/maths
School/Faculty

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Programmes in related subject areas

Use the links below to view lists of programmes in related subject areas.

Entry requirements

Academic entry qualification overview

Applicants should have, or expect to obtain before the start of the course a:

  • 1st or upper 2nd class 4 year undergraduate degree (e.g. MMath) degree (or an equivalent overseas qualification) in a mathematical subject
  • MSc with Merit or Distinction (or an equivalent overseas qualification) in a mathematical subject.

In some research areas, a background in physics, engineering or computer science is also acceptable.

English language

All applicants will need to demonstrate competency in English language. Applicants who do not already possess an acceptable English Language qualification will need to take a recognised test and attain the required English Language score:

IELTS:  At least 6.5 overall with 6.0 in the written component and no other subtest below 5.5.

TOEFL iBT:  At least 90 overall with 20 in the written component and no other subtest below 20. We do not accept 'MyBestScore'.

Pearson Test of English (PTE): At least 58 overall with 50 in the written component and no other subtest below 42.

Further information on language requirements can be found on our website

Pre-sessional English: We also accept successful completion of a pre-sessional English course run by the University Language Centre to meet our English language requirements.

English language test validity

Some English Language test results are only valid for two years. Your English Language test report must be valid on the start date of the course.

Other international entry requirements

We accept a range of qualifications from different countries. For these and general requirements including English language see entry requirements from your country .

Application and selection

How to apply

Apply online   

Please include details of your previous study, your area of interest (or research project title, if known) and the name of the academic member of staff you would like to supervise your research.

We strongly recommend that you make contact with your proposed supervisor before submitting an application.

Advice to applicants

We require the following documents before we can consider your application.
  • A personal statement in which you elaborate on your research interests and display a clear motivation to study for a PhD,
  • Bachelor's transcripts and certificates.
  • Master's transcripts and certificates (where available).
  • Two academic references. These should be emailed to  pgr-maths@manchester.ac.uk . We do not request references on an applicant's behalf and it is your responsibility to ensure your referees know how to provide your reference to us.
  • CV

If English is not your first language, we also require proof of your English language ability. If you have already taken an English language qualification, please include your certificate with your application. We may be willing to consider your application without this document, but if we choose to make you an offer, the conditions will include IELTS (or equivalent qualification).

How your application is considered

We consider your full academic history including which course units you have taken and the marks obtained. Even if you have met our minimum entry requirements, we will take into account your marks in relevant undergraduate and postgraduate taught course units in our final decision making. We pay particular attention to any evidence of research experience, for example, undergraduate projects, summer internships and MSc theses.

If you graduated more than three years ago, we will also consider the information contained on your CV and any relevant work experience you have to assess if you are still able to fulfil the entry criteria.

Interview requirements

An interview is required for entry to this programme of study. Shortlisted applicants will be contacted by the admissions team.

Overseas (non-UK) applicants

CAS Information

Please upload a copy of your current valid passport with your application showing the photograph page with your application. For CAS purposes, this must show your full name, date of birth, nationality, passport number and the date the passport is valid until, which must be later than the date of your planned arrival in the UK, and the start date of your course.

If you have previously studied in the UK on a Tier 4 visa as an undergraduate or postgraduate student, please send a copy of your previous CAS statement to us as it will assist with the issue of your new CAS statement. This includes study in the UK on study abroad programmes and any study that you did not complete.

You cannot use your CAS to apply for a visa more than three months before the start date of your course. The Admissions Team will contact you at the appropriate time.

Your CAS number is only valid for one Tier 4 application.

Deferrals

Admissions staff will decide whether to offer places to applicants for deferred entry on their courses and you should not assume that they will grant all such requests. If you request deferral for more than one year, you would normally be required to re-apply, as your chosen course, and your suitability for it, would change over time. English Language test results can only be considered to be current for two years from the test date.

Re-applications

If you applied in the previous year and your application was not successful you may apply again. Your application will be considered against the standard course entry criteria for that year of entry. In your new application you should demonstrate how your application has improved. We may draw upon all information from your previous applications or any previous registrations at the University as a student when assessing your suitability for your chosen course.

Programme details

Programme description

The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium

Opportunities for PhD research are available in a wide range of topics in Applied Mathematics. For some of the available areas of possible PhD research see the current Applied Mathematics research areas. For more details about specific projects, please contact the relevant individual members of staff or get in touch with the Applied Mathematics Postgraduate Admissions Tutor .

The Applied Mathematics Unit has a long-standing international reputation for its research. Our research activity is led by fourteen professors with expertise in a range of topics, including Combustion Theory and Bushfires; Computational Mechanics and Biomechanics; Granular Flow; Dynamical Systems; Financial Mathematics; High Speed Fluid Dynamics; Inverse Problems; Numerical Analysis and Scientific Computing and Waves.

RAE2008 (UoA 21) highlights
  • An active research group of 31 permanent staff working with 14 postdoctoral researchers, 42 PhD research students and 49 MSc students. The MAGIC doctoral student training network is being coordinated by Manchester.
  • Significant success in the award of EPSRC Fellowships including five Advanced Fellows and four Postdoctoral Fellows awarded in the census period.
  • More than 7.6M pounds awarded since RAE2001, including 1.75M for the CICADA initiative.
  • Three of our researchers have been designated Highly Cited Researchers at ISIHighlyCited.com.

Applied Mathematics at Manchester has a strong tradition for research excellence, with past leadership provided by Sir Horace Lamb FRS, Sydney Chapman FRS, Edward Milne FRS, Douglas Hartree FRS, Sydney Goldstein FRS, Sir James Lighthill FRS, Fritz Ursell FRS and Robin Bullough. BAMC'08 is the fiftieth anniversary of the first British Theoretical Mechanics Colloquium which was held in Manchester in 1959.

Facilities

The Department of Mathematics is the largest in the UK with an outstanding research reputation and facilities .

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: dass@manchester.ac.uk