Skip to main content Swansea University
  • Jobs
  • Accessibility Tools
  • Current Students
  • Staff
  • 中文
  • Cymraeg
Menu Swansea University
  • Jobs
  • Accessibility Tools
  • Current Students
  • Staff
  • 中文
  • Cymraeg
  1. Home
  2. Postgraduate
  3. Postgraduate Research Programmes
  4. College of Science Postgrad Research Courses
  5. Maths
  6. Mathematics, PhD/MPhil/MSc
  • Study
    • Undergraduate Virtual Open Evening
      Student sat at a laptop wearing headphones

      Thursday 18th March

      Book Now
    • Undergraduate
      • Courses
      • Accommodation
      • Open Days
      • How to Apply
      • Scholarships and Bursaries
      • Parents and Guardians
      • Make an Undergrad Enquiry
      • Clearing at Swansea
    • Postgraduate
      • Taught Courses
      • Research Programmes
      • Open Days
      • How to Apply
      • Scholarships and Bursaries
      • Your University
      • Make a Postgrad Enquiry
    • International Students
      • Courses
      • How to Apply
      • Scholarships and Bursaries
      • Your Country Information
      • Support for International Students
      • Study Abroad & Exchange
      • English Language Training
      • International Pathways
      • Ask Us a Question
    • Student Life
      • Study
      • Why Swansea
      • Life on Campus
      • Sport
      • Sustainability - Get Involved
      • Arts and Culture
      • Swansea University Students' Union
      • Virtual tours
      • What is Freshers?
    • Student Services
      • Library
      • CampusLife
      • Swansea Employability Academy
      • Student Enterprise
      • Centre for Academic Success
      • Welsh on Campus
      • Student Wellbeing
  • International
  • Our Research
  • Business
  • Alumni
  • Your University
    • Press Office
      Female student working with steel

      Latest news and research

      Press Office
    • Your University
      • About us
      • How to Find Us
      • University Awards and Rankings
      • Centenary 2020
      • Press Office
      • Jobs and Working At Swansea
      • Sustainability
      • Travel to and from Campus
      • Contact Us
    • Sport
      • Facilities
      • Health and Fitness
      • Performance
      • Student Sport - Sport Swansea
      • Sport Swansea Programmes and Events
    • Life on Campus
      • Accommodation
      • Where to Eat on Campus
      • Arts and Culture
      • The Great Hall
      • Taliesin
      • Taliesin Create
      • Egypt Centre
      • Our Grounds
      • Music
      • Virtual Tour
    • Academic Colleges
      • Arts and Humanities
      • College of Engineering
      • Human and Health Sciences
      • Hillary Rodham Clinton School of Law
      • School of Management
      • Medical School
      • College of Science
      • The College
    • Academies
      • Health and Wellbeing Academy
      • Morgan Advanced Studies Institute (MASI)
      • Swansea Employability Academy
      • Academi Hywel Teifi
      • Swansea Academy of Inclusivity and Learner Success (SAILS)
      • SALT
  • News and Events
  • Support & Wellbeing
  1. Home
  2. Postgraduate
  3. Postgraduate Research Programmes
  4. College of Science Postgrad Research Courses
  5. Maths
  6. Mathematics, PhD/MPhil/MSc

Mathematics, Ph.D. / MSc by Research / M.Phil.

Related pages
  • Current Students
  • Contact the Postgrad Admissions team
  • Postgraduate Taught Courses
  • An introduction to postgraduate study
  • Postgraduate scholarships and bursaries
  • Postgraduate Research Programmes
    • How to apply for your Postgraduate Research programme
    • College of Arts and Humanities Postgrad Research Courses
    • College of Engineering Postgrad Research Courses
    • College of Human and Health Sciences Postgrad Research Courses
    • Hillary Rodham Clinton School of Law Postgrad Research Courses
    • College of Science Postgrad Research Courses
      • Physics
      • Geography
      • Computer Science
      • Maths
        • Stochastic Processes: Theory and Application, MRes
        • Mathematics, PhD/MPhil/MSc
      • Biosciences
      • Chemistry
    • Medicine Postgraduate Research Courses
    • School of Management Postgraduate Research Courses
    • Postgraduate Research Programmes coming soon!
  • How to apply for your postgraduate course
  • Postgraduate Fees and Funding
  • Postgraduate Open Days
  • Apply Online
  • Postgraduate Careers and Employability
  • Accommodation
  • Why study at Swansea
  • Academi Hywel Teifi
  • Student life
  • Student Services
  • Information for parents and advisors
  • Enrolment, Arrivals and Welcome
  • Postgraduate Enquiry
  • Postgraduate programme changes
  • Meet our postgraduate students
  • Postgraduate Prospectus
Apply
Open Day
Keep In Touch

Work in our brand new Computational Foundry

Key Course Details

  • UK
  • EU
  • International
Ph.D. 3 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 4,407
Oct 2021 or Jan, Apr or Jul 2022 £ 4,500
Ph.D. 6 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 2,203.50
Oct 2021 or Jan, Apr or Jul 2022 £ 2,250
MSc by Research 1 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan 2021 £ 4,407
Oct 2021 or Jan 2022 £ 4,500
MSc by Research 2 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan or Jul 2021 £ 2,203.50
Oct 2021 or Jan or Jul 2022 £ 2,250
M.Phil. 2 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 4,407
Oct 2021 or Jan, Apr or Jul 2022 £ 4,500
M.Phil. 4 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 2,203.50
Oct 2021 or Jan, Apr or Jul 2022 £ 2,250
Ph.D. 3 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 4,407
Oct 2021 or Jan, Apr or Jul 2022 £ 18,600
Ph.D. 6 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 2,203.50
Oct 2021 or Jan, Apr or Jul 2022 £ 9,300
MSc by Research 1 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan 2021 £ 4,407
Oct 2021 or Jan 2022 £ 18,600
MSc by Research 2 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan or Jul 2021 £ 2,203.50
Oct 2021 or Jan or Jul 2022 £ 9,300
M.Phil. 2 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 4,407
Oct 2021 or Jan, Apr or Jul 2022 £ 18,600
M.Phil. 4 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 2,203.50
Oct 2021 or Jan, Apr or Jul 2022 £ 9,300
Ph.D. 3 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 18,050
Oct 2021 or Jan, Apr or Jul 2022 £ 18,600
Ph.D. 6 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 9,050
Oct 2021 or Jan, Apr or Jul 2022 £ 9,300
MSc by Research 1 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan 2021 £ 18,050
Oct 2021 or Jan 2022 £ 18,600
MSc by Research 2 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan or Jul 2021 £ 9,050
Oct 2021 or Jan or Jul 2022 £ 9,300
M.Phil. 2 Year Full Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 18,050
Oct 2021 or Jan, Apr or Jul 2022 £ 18,600
M.Phil. 4 Year Part Time
Location
Bay Campus
Start Date Tuition Fees - Year 1
Jan, Apr or Jul 2021 £ 9,050
Oct 2021 or Jan, Apr or Jul 2022 £ 9,300

Course Overview

Start dates: PhD/MSc by Research/MPhil - 1st October, 1st January, 1st April & 1st July.

You will undertake a mathematics research project over two years (MPhil) or three years (PhD), supported by our globally esteemed researchers.

The project will be shaped by your participation in research activities such as seminars, workshops, laboratory activity and fieldwork, as well as your involvement in one of our established research groups. Mathematics at Swansea hosts one of the strongest research groups in probability theory in the UK, especially in stochastic processes. Senior members of the group are world leaders in their fields. Our research groups include:

• Algebra and Topology

Areas of interest – noncommutative geometry, categorical methods in algebra and topology, homotopy theory and homological algebra.

• Analysis and Nonlinear Partial Differential Equations Areas of interest – reaction-diffusion and reaction-diffusion-convection, equations and systems, Navier–Stokes equations in fluid dynamics.

• Stochastic Analysis Areas of interest – functional inequalities and applications, Lévy-type processes, stochastic modelling of fractal, multifractal and multiscale systems.

• Mathematical methods in Biology and Life Sciences Areas of interest – mathematical pharmacology; heat and mass transfer models for plant cooling; modelling cellular signal transduction dynamics, mathematical oncology.

Programme Disclaimer

Postgraduate Prospectus

Discover your University

Take a Virtual Tour

virtual tour

Welsh Medium Study

welsh medium

Swansea Science Doctoral Training Centre fosters a growing vibrant community of PhD students

Entry Requirements

Qualifications

MSc by Research: Applicants for MSc by Research must normally hold an undergraduate degree at 2.1 level (or Non-UK equivalent as defined by Swansea University). See - Country-specific Information for European Applicants 2019 and Country-specific Information for International Applicants 2019.

MPhil: Applicants for MPhil must normally hold an undergraduate degree at 2.1 level (or Non-UK equivalent as defined by Swansea University). See - Country-specific Information for European Applicants 2019 and Country-specific Information for International Applicants 2019.

PhD: Applicants for PhD must normally hold an undergraduate degree at 2.1 level or master’s degree with a minimum overall grade at ‘Merit’ (or Non-UK equivalent as defined by Swansea University).  See - Country-specific Information for European Applicants 2019 and Country-specific Information for International Applicants 2019. 

English Language
IELTS 6.0 Overall (with no individual component below 5.5) or Swansea University recognised equivalent. Full details of our English Language policy, including certificate time validity, can be found here.

As well as academic qualifications, Admissions decisions may be based on other factors, including (but not limited to): the standard of the research synopsis/proposal, performance at interview, intensity of competition for limited places, and relevant professional experience.

Academic Technology Approval Scheme (ATAS) Requirement

Non UK/EU applicants are required to obtain ATAS clearance for this programme of study. Successful applicants are sent ATAS application details by the University PGR Admissions team. Further details on the ATAS scheme can be found at on the government Academic Technology Approval Scheme webpage.

Reference Requirement

As standard, two references are required before we can progress applications to the College/School research programme Admissions Tutor for consideration.

Applications received without two references attached are placed on hold, pending receipt of the outstanding reference(s). Please note that any protracted delay in receiving the outstanding reference(s) may result in the need to defer your application to a later potential start point/entry month, than what you initially listed as your preferred start option.

You may wish to consider contacting your referee(s) to assist in the process of obtaining the outstanding reference(s) or alternatively, hold submission of application until references are sourced. Please note that it is not the responsibility of the University Admissions Office to obtain missing reference(s) after our initial email is sent to your nominated referee(s), requesting a reference(s) on your behalf.

The reference can take the form of a letter on official headed paper, or via the University’s standard reference form. Click this link to download the university reference form.

Alternatively, referees can email a reference from their employment email account, please note that references received via private email accounts, (i.e. Hotmail, Yahoo, Gmail) cannot be accepted.

References can be submitted to pgradmissions@swansea.ac.uk.

How you are Supervised

Your work will be supported by expert staff and state-of-the-art facilities. This includes our new £32.5m Computational Foundry for computer and mathematical sciences. The Research Excellence Framework (REF) 2014 rated our research environment and the impact of our research as 100% world leading, or internationally excellent.

All postgraduate mathematics programmes at Swansea equip you with the transferable skills required for a rewarding career in a range of diverse fields.

Welsh Provision

There are opportunities for Welsh speakers to study through the medium of Welsh and our dedicated academy for Welsh-medium study, Academi Hywel Teifi, is here to support you throughout your time at Swansea University. We offer you:

  • An interview through the medium of Welsh when applying for a place.
  • The option to receive your personal correspondence in Welsh - we will then communicate with you in your language of choice.
  • The option to write and submit your coursework or exams through the medium of Welsh (even if you have chosen to study in English), and every effort will be made to mark your work in its original language.
  • A Welsh-speaking personal tutor.
  • One-to-one support to improve your academic Welsh language skills.

To see further details about the level of provision delivered in Welsh on this particular degree scheme, please see the Welsh-language course page for further information.

Since 2011, there has been a 113% increase in the number of students studying through the medium of Welsh at Swansea University and our TEF* data over the last two years shows that Welsh-medium students are high achievers with regard to employability (*Swansea University TEF return 2017 and 2018).

Tuition Fees

Ph.D. 3 Year Full Time

Start Date UK EU International
October 2020 £ 4,407 £ 4,407 £ 18,050
January 2021 £ 4,407 £ 4,407 £ 18,050
April 2021 £ 4,407 £ 4,407 £ 18,050
July 2021 £ 4,407 £ 4,407 £ 18,050
October 2021 £ 4,500 £ 18,600 £ 18,600
January 2022 £ 4,500 £ 18,600 £ 18,600
April 2022 £ 4,500 £ 18,600 £ 18,600
July 2022 £ 4,500 £ 18,600 £ 18,600

Ph.D. 6 Year Part Time

Start Date UK EU International
October 2020 £ 2,203.50 £ 2,203.50 £ 9,050
January 2021 £ 2,203.50 £ 2,203.50 £ 9,050
April 2021 £ 2,203.50 £ 2,203.50 £ 9,050
July 2021 £ 2,203.50 £ 2,203.50 £ 9,050
October 2021 £ 2,250 £ 9,300 £ 9,300
January 2022 £ 2,250 £ 9,300 £ 9,300
April 2022 £ 2,250 £ 9,300 £ 9,300
July 2022 £ 2,250 £ 9,300 £ 9,300

MSc by Research 1 Year Full Time

Start Date UK EU International
October 2020 £ 4,407 £ 4,407 £ 18,050
January 2021 £ 4,407 £ 4,407 £ 18,050
October 2021 £ 4,500 £ 18,600 £ 18,600
January 2022 £ 4,500 £ 18,600 £ 18,600

MSc by Research 2 Year Part Time

Start Date UK EU International
October 2020 £ 2,203.50 £ 2,203.50 £ 9,050
January 2021 £ 2,203.50 £ 2,203.50 £ 9,050
July 2021 £ 2,203.50 £ 2,203.50 £ 9,050
October 2021 £ 2,250 £ 9,300 £ 9,300
January 2022 £ 2,250 £ 9,300 £ 9,300
July 2022 £ 2,250 £ 9,300 £ 9,300

M.Phil. 2 Year Full Time

Start Date UK EU International
October 2020 £ 4,407 £ 4,407 £ 18,050
January 2021 £ 4,407 £ 4,407 £ 18,050
April 2021 £ 4,407 £ 4,407 £ 18,050
July 2021 £ 4,407 £ 4,407 £ 18,050
October 2021 £ 4,500 £ 18,600 £ 18,600
January 2022 £ 4,500 £ 18,600 £ 18,600
April 2022 £ 4,500 £ 18,600 £ 18,600
July 2022 £ 4,500 £ 18,600 £ 18,600

M.Phil. 4 Year Part Time

Start Date UK EU International
October 2020 £ 2,203.50 £ 2,203.50 £ 9,050
January 2021 £ 2,203.50 £ 2,203.50 £ 9,050
April 2021 £ 2,203.50 £ 2,203.50 £ 9,050
July 2021 £ 2,203.50 £ 2,203.50 £ 9,050
October 2021 £ 2,250 £ 9,300 £ 9,300
January 2022 £ 2,250 £ 9,300 £ 9,300
April 2022 £ 2,250 £ 9,300 £ 9,300
July 2022 £ 2,250 £ 9,300 £ 9,300

Tuition fees for years of study after your first year are subject to an increase of 3%.

You can find further information of your fee costs on our tuition fees page.

You may be eligible for funding to help support your study. To find out about scholarships, bursaries and other funding opportunities that are available please visit the University's scholarships and bursaries page.

International students and part-time study: It may be possible for some students to study part-time under the Student Visa route. However, this is dependent on factors relating to the course and your individual situation. It may also be possible to study with us if you are already in the UK under a different visa category (e.g. Tier 1 or 2, PBS Dependant, ILR etc.). Please visit the University information on Visas and Immigration for further guidance and support.

Current students: You can find further information of your fee costs on our tuition fees page.

EU Transitional Bursary available for September 2021.

Funding and Scholarships

You may be eligible for funding to help support your study.

Government funding is now available for Welsh, English and EU students starting eligible postgraduate research programmes at Swansea University. To find out more, please visit our postgraduate loans page.

To find out about scholarships, bursaries and other funding opportunities that are available please visit the University's scholarships and bursaries page.

Academi Hywel Teifi at Swansea University and the Coleg Cymraeg Cenedlaethol offer a number of generous scholarships and bursaries for students who wish to study through the medium of Welsh or bilingually. For further information about the opportunities available to you, visit the Academi Hywel Teifi Scholarships and Bursaries page.

Additional Costs

Access to your own digital device/the appropriate IT kit will be essential during your time studying at Swansea University. Access to wifi in your accommodation will also be essential to allow you to fully engage with your programme. See our dedicated webpages for further guidance on suitable devices to purchase, and for a full guide on getting your device set up.

You may face additional costs while at university, including (but not limited to):

  • Travel to and from campus
  • Printing, photocopying, binding, stationery and equipment costs (e.g. USB sticks)
  • Purchase of books or texts
  • Gowns for graduation ceremonies

How to Apply

If you already have funding or are self-funding, please apply online.  On the application form, please clearly state the field of research that interests you.  For research areas in the Department of Mathematics, please visit https://www.swansea.ac.uk/maths/research-and-impact/

If you are applying for a scholarship, please visit our scholarships page and follow the instructions on how to apply. 

Please contact the Admissions Tutor, Professor Eugene Lytvynov if you have any queries or require further information.

Suggested Application Timings

In order to allow sufficient time for consideration of your application by an academic, for potential offer conditions to be met and travel / relocation, we recommend that applications are made before the dates outlined below. Please note that applications can still be submitted outside of the suggested dates below but there is the potential that your application/potential offer may need to be moved to the next appropriate intake window.

October Enrolment

UK Applicants – 15th August

EU/International applicants – 15th July

January Enrolment

UK applicants – 15th November

EU/International applicants – 15th October

April Enrolment

UK applicants – 15th February

EU/International applicants – 15th January

July Enrolment

UK applicants – 15th May

EU/International applicants – 15th April

EU students - visa and immigration information is available and will be regularly updated on our information for EU students page.

Suggested Application Timings

In order to allow sufficient time for consideration of your application by an academic, for potential offer conditions to be met and travel / relocation, we recommend that applications are made before the dates outlined below. Please note that applications can still be submitted outside of the suggested dates below but there is the potential that your application/potential offer may need to be moved to the next appropriate intake window.

October Enrolment:
UK Applicants – 15th August
EU/International applicants – 15th July

January Enrolment:
UK applicants – 15th November
EU/International applicants – 15th October

April Enrolment:
UK applicants – 15th February
EU/International applicants – 15th January

July Enrolment:
UK applicants – 15th May
EU/International applicants – 15th April

 

PhD Programme Specification

Programme Information
Award Level (Nomenclature) PhD in Mathematics
Programme Title Mathematics
Director of Postgraduate Research Professor Maurizio Piai
Awarding Body Swansea University
College/School College of Science
Subject Area Mathematics
Frequency of Intake October, January, April, July
Location

Bay Campus

Mode of Study

Full/Part time

Duration/Candidature 3/6 years
FHEQ Level 8
External Reference Points QAA Qualification Descriptors for FHEQ Level 8
Regulations Doctor of Philosophy (PhD) 
Professional, Statutory or Regulatory Body Accreditation N/A
Exit Awards N/A
Language of Study English

This Programme Specification refers to the current academic year and provides indicative content for information. The University will seek to deliver each course in accordance with the descriptions set out in the relevant course web pages at the time of application. However, there may be situations in which it is desirable or necessary for the University to make changes in course provision, either before or after enrolment.

Programme Summary

This PhD in Mathematics at Swansea will enable you to undertake a substantial project led by you. It is a highly respected qualification which is a necessary step in a career in academia, and alsowill open a wider scope for employment in fields such as education, government or the private sector. A thesis will be submitted for assessment demonstrating original research with a substantive contribution to the subject area. The PhD title is awarded following a successful oral examination of the thesis (a viva voce examination or viva voce). You will acquire research skills for high-level work and skills and training programmes are available on campus for further support. There will be opportunities to deliver presentations to research students and staff at departmental seminars and conferences. There may also be opportunities to develop your teaching skills through undergraduate tutorials, demonstrations and seminars.

Programme Aims 

This PhD programme will provide doctoral researchers with:

  1. The opportunity to conduct high quality postgraduate research in a world leading research environment.
  2. Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
  3. Advanced critical thinking, intellectual curiosity and independent judgement.

Programme Structure

The programme comprises three key elements:

  • Entry and confirmation of candidature
  • Main body of research
  • Thesis and viva voce

Doctoral researchers may pursue the programme either full time or part time by pursuing research at the University or with/at a University approved partner. The programme comprises of the undertaking of an original research project of 3 years duration full time (6 years duration part time).

Assessment

Doctoral researchers for the PhD in Mathematics are examined in two parts.

The first part is a thesis which is an original body of work representing the methods and results of the research project. The format of the thesis and the maximum word limit for the main text are determined in conformity with current University regulations. The word limit is 100,000 for the main text. The word limit does not include appendices (if any), essential footnotes, introductory parts and statements or the bibliography and index.

The second part is an oral examination (viva voce).

Doctoral Researcher Supervision and Support

Doctoral researchers will be supervised by a supervisory team. Where appropriate, staff from Colleges/Schools other than the ‘home’ College/School (other Colleges/Schools) within the University will contribute to cognate research areas. There may also be supervisors from an industrial partner.

The Primary/First Supervisor will be the main contact throughout the doctoral research journey and will have overall responsibility for academic supervision. The academic input of the Secondary Supervisors will vary from case to case. The supervisory team may also include supervisors from industry, or a specific area of professional practice, to support the research. External supervisors may also be drawn from other Universities.

The primary supervisor will provide pastoral support. If necessary the primary supervisor will refer the  doctoral researcher to other sources of support (e.g. Wellbeing, Disability, Money@CampusLife, IT, Library, Students’ Union, Academic Services, Student Support Services, Swansea Employability Academy).  

Programme Learning Outcomes

Upon successful completion of this programme, doctoral researchers should be able to:

Knowledge & Understanding

  • Demonstrate the systematic acquisition and understanding of a substantial body of knowledge which is at the forefront of research through the development of a written thesis.
  • Create, interpret, analyse and develop new knowledge through original research or other advanced scholarship. 
  • Disseminate new knowledge gained through original research or other advanced scholarship via high quality peer reviewed publications within the discipline.
  • Apply research skills and subject theory to the practice of research.
  • Apply process and standards of a range of the methodologies through which research is conducted and knowledge acquired and revised. 

Attitudes and values

  • Conceptualise, design and implement a project aimed at the generation of new knowledge or applications within Mathematics.
  • Make informed judgements on complex issues in the field of Mathematics, often in the absence of complete data and defend those judgements to an appropriate audience.
  • Apply sound ethical principles to research, with due regard for the integrity of persons and in accordance with professional codes of conduct.
  • Demonstrate self-awareness of individual and cultural diversity, and the reciprocal impact in social interaction between self and others when conducting research involving people.

Research Skills

  • Respond appropriately to unforeseen problems in project design by making suitable amendments.
  • Communicate complex research findings clearly, effectively and in an engaging manner to both specialist (including the academic community), and non-specialist audiences using a variety of appropriate media and events, including conference presentations, seminars and workshops.
  • Correctly select, interpret and apply relevant techniques for research and advanced academic enquiry.
  • Develop the networks and foundations for on-going research and development within the discipline.
  • Implement  advanced research skills to a substantial degree of independence.
  • Locate information and apply it to research practice.

Skills and Competencies

  • Display the qualities and transferable skills necessary for employment, including the exercise of personal responsibility and largely autonomous initiative in complex and unpredictable situations, in professional or equivalent environments.

Progression Monitoring

Progress will be monitored in accordance with Swansea University regulations. During the course of the programme, the Doctoral researcher is expected to meet regularly with their supervisors, and at most meetings it is likely that the doctoral researcher’s progress will be monitored in an informal manner in addition to attendance checks. A minimum of four formal supervision meetings is required each year, two of which will be reported to the Postgraduate Progression and Awards Board. During these supervisory meetings the doctoral researcher’s progress is discussed and formally recorded on the on-line system. During the Academic year, engagement of the researcher with the programme is monitored periodically, approximately at monthly intervals.

Learning Development

The University offers training and development for Doctoral Researchers and supervisors (https://www.swansea.ac.uk/research/undertake-research-with-us/postgraduate-research/training-and-skills-development-programme/).

Swansea University’s Postgraduate Research Training Framework is structured into sections, to enable doctoral researchers to navigate and determine appropriate courses aligned to both their interest and their candidature stage. 

There is a training framework including for example areas of Managing Information and Data, Presentation and Public Engagement, Leadership and working with others, Safety Integrity and Ethics, Impact and Commercialisation and Teaching and Demonstrating. There is also range of support in areas such as training needs, literature searching, conducting research, writing up research, teaching, applying for grants and awards, communicating research and future careers.

A range of research seminars and skills development sessions are provided within the College of Science and across the University. These are scheduled to keep the doctoral researcher in touch with a broader range of material than their own research topic, to stimulate ideas in discussion with others, and to give them opportunities to such as defending their own thesis orally, and to identify potential criticisms. Additionally, the College of Science is developing a research culture that aligns with the University vision and will link with key initiatives delivered under the auspices of the University’s Academies.

Research Environment

Swansea University’s research environment combines innovation and excellent facilities to provide a home for multidisciplinary research to flourish. Our research environment encompasses all aspects of the research lifecycle, with internal grants and support for external funding and enabling impact/effect that research has beyond academia. 

Swansea University is very proud of our reputation for excellent research, and for the calibre, dedication, professionalism, collaboration and engagement of our research community. We understand that integrity must be an essential characteristic of all aspects of research, and that as a University entrusted with undertaking research we must clearly and consistently demonstrate that the confidence placed in our research community is rightly deserved. The University therefore ensures that everyone engaged in research is trained to the very highest standards of research integrity and conducts themselves and their research in a way that respects the dignity, rights, and welfare of participants, and minimises risks to participants, researchers, third parties, and the University itself.

Swansea Science has been recognised as being world-leading and having an impact globally. So many members of the College have contributed to this outcome; the researchers and colleagues who facilitate the excellent research environment and the students who debate and challenge the ideas that are always bubbling here. The amount of talent in the College is vast, and the quality and diversity of research is truly outstanding. 

Career Opportunities

Having a PhD demonstrates that graduates can work effectively in a team, formulate, explore and communicate complex ideas and manage advanced tasks. Jobs in academia (eg postdoctoral research, lecturing), education, government, management, the public or private sector are possible. Examples include administrators, counsellors, marketing specialists, scientific consultants, scientists, and, researchers.

The Postgraduate Research Office Skills Development Team offer support and a training framework for example in creating a researcher profile based upon publications and setting up your own business. The Swansea Employability Academy assists students in future career opportunities, improving CVs, job applications and interview skills.

MPhil Programme Specification

Programme Information
Award Level (Nomenclature) MPhil in Mathematics
Programme Title Mathematics
Director of Postgraduate Research Professor Maurizio Piai
Awarding Body Swansea University
College/School College of Science
Subject Area Mathematics
Frequency of Intake October, January, April, July
Location

Bay Campus

Mode of Study

Full/Part time

Duration/Candidature 2/4 years
FHEQ Level 7
External Reference Points QAA Qualification Descriptors for FHEQ Level 7
Regulations Master of Philosophy
Professional, Statutory or Regulatory Body Accreditation N/A
Exit Awards N/A
Language of Study English

This Programme Specification refers to the current academic year and provides indicative content for information. The University will seek to deliver each course in accordance with the descriptions set out in the relevant course web pages at the time of application. However, there may be situations in which it is desirable or necessary for the University to make changes in course provision, either before or after enrolment.

Programme Summary

This MPhil in Mathematics at Swansea will enable you to undertake a substantial project led by your own interests. It is a highly respected qualification which can present a career in academia or a wider scope for employment in fields such as education, government or the private sector. A thesis of 60,000 words will be submitted for assessment demonstrating original research with a substantive contribution to the subject area. The Masters is examined following an oral examination of the thesis (a viva voce examination or viva). You will acquire research skills for high-level work and skills and training programmes are available on campus for further support. There will be an opportunity to deliver presentations to research students and staff at departmental seminars and conferences. 

Programme Aims

This Masters programme will provide students with:

  1. The opportunity to conduct high quality postgraduate research in a world leading research environment.
  2. Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
  3. Advanced critical thinking, intellectual curiosity and independent judgement.

Programme Structure

The programme comprises three key elements:

  • Entry and confirmation of candidature
  • Main body of research
  • Thesis and viva voce examination

The programme comprises of the undertaking of an original research project of 2 years duration full time (4 years duration part time). Students may pursue the programme either full time or part time by pursuing research at the University at an external place of employment or with/at a University approved partner.

Assessment

Students for the Masters in Mathematics are examined in two parts.

The first part is a thesis which is an original body of work representing the methods and results of the research project. The maximum word limit is 60,000 for the main text. The word limit does not include appendices (if any), essential footnotes, introductory parts and statements or the bibliography and index.

The second part is an oral examination (viva voce).

Supervision and Support 

Students will be supervised by a supervisory team. Where appropriate, staff from Colleges/Schools other than the ‘home’ College/School (other Colleges/Schools) within the University will contribute to cognate research areas. There may also be supervisors from an industrial partner.

The Primary/First Supervisor will normally be the main contact throughout the student journey and will have overall responsibility for academic supervision. The academic input of the Secondary Supervisor will vary from case to case. The principal role of the Secondary Supervisor is often as a first port of call if the Primary/First Supervisor becomes unavailable. The supervisory team may also include a supervisor from industry or a specific area of professional practice to support the research. External supervisors may also be drawn from other Universities.

The primary supervisor will provide pastoral support. If necessary the primary supervisor will refer the student to other sources of support (e.g. Wellbeing, Disability, Money@Campuslife, IT, Library, Students’ Union, Academic Services, Student Support Services, Swansea Employability Academy).

Programme Learning Outcomes

Upon successful completion of this programme, doctoral researchers should be able to:

Knowledge & Understanding

  • Demonstrate the systematic acquisition and understanding of a substantial body of knowledge through the development of a written thesis.
  • Create, interpret, analyse and develop new knowledge through original research or other advanced scholarship.  
  • Apply research skills and subject theory to the practice of research.
  • Apply process and standards of a range of the methodologies through which research is conducted and knowledge acquired and revised.

Attitudes and values

  • Make informed judgements on complex issues in the field of Mathematics often in the absence of complete data and defend those judgements to an appropriate audience. 
  • Apply sound ethical principles to research, with due regard for the integrity of persons and in accordance with professional codes of conduct.
  • Demonstrate self-awareness of individual and cultural diversity, and the reciprocal impact in social interaction between self and others when conducting research involving people.

Research Skills

  • Respond appropriately to unforeseen problems in project design by making suitable amendments.
  • Communicate complex research findings clearly, effectively and in an engaging manner to both specialist (including the academic community), and non-specialist audiences using a variety of appropriate media.
  • Correctly select, interpret and apply relevant techniques for research and academic enquiry.
  • Develop the foundations for on-going research and development within the discipline.
  • Implement independent research skills.
  • Locate information and apply it to research practice.

Skills and Competencies

  • Display the qualities and transferable skills necessary for employment, including the exercise of personal responsibility and initiative in complex situations.

Progression Monitoring

Progress will be monitored in accordance with Swansea University regulations. During the course of the programme, the student is expected to meet regularly with their supervisors, and at most meetings it is likely that the student’s progress will be monitored in an informal manner in addition to attendance checks. Details of the meetings should ideally be recorded on the on-line system. A minimum of four formal supervision meetings is required each year, two of which will be reported to the Postgraduate Progression and Awards Board. During these supervisory meetings the student’s progress is discussed and formally recorded on the on-line system. 

Learning Development 

The University offers training and development for Doctoral Researchers and supervisors (https://www.swansea.ac.uk/research/undertake-research-with-us/postgraduate-research/training-and-skills-development-programme/).

Swansea University’s Postgraduate Research Training Framework is structured into sections, to enable students to navigate and determine appropriate courses aligned to both their interest and their candidature stage. 

There is a training framework including for example areas of Managing Information and Data, Presentation and Public Engagement, Leadership and working with others, Safety Integrity and Ethics, Impact and Commercialisation and Teaching and Demonstrating. There is also range of support in areas such as training needs, literature searching, conducting research, writing up research, teaching, applying for grants and awards, communicating research and future careers.

A range of research seminars and skills development sessions are provided within the College of Science and across the University. These are scheduled to keep the student in touch with a broader range of material than their own research topic, to stimulate ideas in discussion with others, and to give them opportunities to such as defending their own thesis orally, and to identify potential criticisms. Additionally, the College of Science is developing a research culture that will align with the University vision and will link with key initiatives delivered under the auspices of the University’s Academies, for example embedding the HEA fellowship for postgraduate research students.

Research Environment 

Swansea University’s Research Environment combines innovation and excellent facilities to provide a home for multidisciplinary research to flourish. Our research environment encompasses all aspects of the research lifecycle, with internal grants and support for external funding and enabling impact/effect that research has beyond academia. 

Swansea University is very proud of our reputation for excellent research, and for the calibre, dedication, professionalism, collaboration and engagement of our research community. We understand that integrity must be an essential characteristic of all aspects of research, and that as a University entrusted with undertaking research we must clearly and consistently demonstrate that the confidence placed in our research community is rightly deserved. The University therefore ensures that everyone engaged in research is trained to the very highest standards of research integrity and conducts themselves and their research in a way that respects the dignity, rights, and welfare of participants, and minimises risks to participants, researchers, third parties, and the University itself.

Swansea Science has been recognised as being world-leading and having an impact globally. So many members of the College have contributed to this outcome; the researchers and colleagues who facilitate the excellent research environment and the students who debate and challenge the ideas that are always bubbling here. The amount of talent in the College is vast, and the quality and diversity of research is truly outstanding.

Career Opportunities

Having a Master of Philosophy degree shows that you can communicate your ideas and manage tasks. Jobs in academia, education, government, management, the public or private sector are possible. 

The Postgraduate Research Office Skills Development Team offer support and a training framework for example in creating a researcher profile based upon publications and setting up your own business. The Swansea Employability Academy assists students in future career opportunities, improving CVs, job applications and interview skills.

MSc by Research Programme Specification

Programme Information
Award Level (Nomenclature) MSc by Research in Mathematics
Programme Title Mathematics
Director of Postgraduate Research Professor Maurizio Pial
Awarding Body Swansea University
College/School Science
Subject Area Mathematics
Frequency of Intake October, January, April, July
Location

Bay Campus

Mode of Study

Full/Part time

Duration/Candidature 1/2 years
FHEQ Level 7
External Reference Points QAA Qualification Descriptors for FHEQ Level 7
Regulations Degree of Master’s by Research
Professional, Statutory or Regulatory Body Accreditation N/A
Exit Awards N/A
Language of Study English

This Programme Specification refers to the current academic year and provides indicative content for information. The University will seek to deliver each course in accordance with the descriptions set out in the relevant course web pages at the time of application. However, there may be situations in which it is desirable or necessary for the University to make changes in course provision, either before or after enrolment.

Programme Summary

This MSc by Research in Mathematics at Swansea will enable you to undertake a research project led by your own interests. It is a highly respected qualification which can enable a future career in academia or a wider scope for employment in fields such as education, government or the private sector. A thesis of 40,000 words will be submitted for assessment demonstrating original research with a substantive contribution to the subject area. The Masters is examined following an oral examination of the thesis (a viva voce examination or viva). You will acquire research skills for high-level work and skills and training programmes are available on campus for further support. 

Programme Aims

This Masters programme will provide students with:

  1. The opportunity to conduct high quality postgraduate research in a world leading research environment.
  2. Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
  3. Advanced critical thinking, intellectual curiosity and independent judgement.

Programme Structure

The programme comprises three key elements:

  • Entry and confirmation of candidature
  • Main body of research
  • Thesis and viva voce examination

The programme comprises of the undertaking of an original research project of 1 year duration full time (2 years duration part time). 

Assessment

Students for the Masters by Research in Mathematics are examined in two parts.

The first part is a thesis which is an original body of work representing the methods and results of the research project. The word limit is 40,000 for the main text. The word limit does not include appendices (if any), essential footnotes, introductory parts and statements or the bibliography and index.

The second part is an oral examination (viva voce).

Supervision and Support 

Students will be supervised by a supervisory team. Where appropriate, staff from Colleges/Schools other than the ‘home’ College/School (other Colleges/Schools) within the University will contribute to cognate research areas. There may also be supervisors from an industrial partner.

The Primary/First Supervisor will normally be the main contact throughout the student journey and will have overall responsibility for academic supervision. The academic input of the Secondary Supervisor will vary from case to case. The principal role of the Secondary Supervisor is often as a first port of call if the Primary/First Supervisor becomes unavailable. The supervisory team may also include a supervisor from industry or a specific area of professional practice to support the research. External supervisors may also be drawn from other Universities.

The primary supervisor will provide pastoral support. If necessary the primary supervisor will refer the student to other sources of support (e.g. Wellbeing, Disability, Money@Campuslife, IT, Library, Students’ Union, Academic Services, Student Support Services, Swansea Employability Academy).

Programme Learning Outcomes

Upon successful completion of this programme, doctoral researchers should be able to:

Knowledge & Understanding

  • Critically reflect on the existing knowledge base, current problems and/or new insights, in the field of Mathematics.
  • Demonstrate originality in the application of knowledge, together with a practical understanding of how established techniques of research and enquiry are used to create and interpret knowledge in the discipline.
  • Apply research skills, methodologies and subject theory to the practice of research.
  • Create, interpret and analyse knowledge in the specific field of study through original research.  

Attitudes and values

  • Undertake research tasks and make informed judgements with minimum guidance. 
  • Apply sound ethical principles to research, with due regard for the integrity of persons and in accordance with professional codes of conduct.
  • Demonstrate self-awareness of individual and cultural diversity, and the reciprocal impact in social interaction between self and others when conducting research involving people.

Research Skills

  • Demonstrate self-direction and originality in tackling and solving problems, and act autonomously in planning and implementing tasks at a professional or equivalent level.
  • Approach and resolve complex issues both systematically and creatively, make sound judgements in the absence of complete data, and communicate their conclusions clearly to specialist and non-specialist audiences.
  • Evaluate and apply relevant techniques for research in Mathematics.
  • Apply research methodologies and develop critiques of them and, where appropriate, propose new hypotheses.
  • Work in groups, presenting conclusions and reflecting difference of opinion.
  • Implement independent research skills.
  • Locate information and apply it to research practice.
  • Design and implement a research project.

Skills and Competencies

  • Display the qualities and transferable skills necessary for employment, including the exercise of personal responsibility and initiative in complex situations.
  • The exercise of initiative and personal responsibility.
  • Decision-making in complex and unpredictable situations.
  • The independent learning ability required for continuing professional development.

Progression Monitoring

Progress will be monitored in accordance with Swansea University regulations. During the course of the programme, the student is expected to meet regularly with their supervisors, and at most meetings it is likely that the student’s progress will be monitored in an informal manner in addition to attendance checks. Details of the meetings should ideally be recorded on the on-line system. A minimum of four formal supervision meetings is required each year, two of which will be reported to the Postgraduate Progression and Awards Board. During these supervisory meetings the student’s progress is discussed and formally recorded on the on-line system. 

Learning Development 

The University offers training and development for Doctoral Researchers and supervisors (https://www.swansea.ac.uk/research/undertake-research-with-us/postgraduate-research/training-and-skills-development-programme/).

Swansea University’s Postgraduate Research Training Framework is structured into sections, to enable students to navigate and determine appropriate courses aligned to both their interest and their candidature stage. 

There is a training framework including for example areas of Managing Information and Data, Presentation and Public Engagement, Leadership and working with others, Safety Integrity and Ethics, Impact and Commercialisation and Teaching and Demonstrating. There is also range of support in areas such as training needs, literature searching, conducting research, writing up research, teaching, applying for grants and awards, communicating research and future careers.

A range of research seminars and skills development sessions are provided within the College and across the University. These are scheduled to keep the student in touch with a broader range of material than their own research topic, to stimulate ideas in discussion with others, and to give them opportunities to such as defending their own thesis orally, and to identify potential criticisms. Additionally, the College is developing a research culture that will align with the University vision and will link with key initiatives delivered under the auspices of the University’s Academies.

Research Environment 

Swansea University’s Research Environment combines innovation and excellent facilities to provide a home for multidisciplinary research to flourish. Our research environment encompasses all aspects of the research lifecycle, with internal grants and support for external funding and enabling impact/effect that research has beyond academia. 

Swansea University is very proud of our reputation for excellent research, and for the calibre, dedication, professionalism, collaboration and engagement of our research community. We understand that integrity must be an essential characteristic of all aspects of research, and that as a University entrusted with undertaking research we must clearly and consistently demonstrate that the confidence placed in our research community is rightly deserved. The University therefore ensures that everyone engaged in research is trained to the very highest standards of research integrity and conducts themselves and their research in a way that respects the dignity, rights, and welfare of participants, and minimises risks to participants, researchers, third parties, and the University itself.

The College of Science

Swansea College of Science has been recognised as being world-leading and having an impact globally. So many members of the College have contributed to this outcome; the researchers and colleagues who facilitate the excellent research environment and the students who debate and challenge the ideas that are always bubbling here. The amount of talent in the College is vast, and the quality and diversity of research is truly outstanding.

Career Opportunities

Having a Master’s by research degree shows that you can communicate your ideas and manage tasks. Jobs in academia, education, government, management, the public or private sector are possible. 

The Postgraduate Research Office Skills Development Team offer support and a training framework for example in creating a researcher profile based upon publications and setting up your own business. The Swansea Employability Academy assists students in future career opportunities, improving CVs, job applications and interview skills.

  • Current Students
  • Contact the Postgrad Admissions team
  • Postgraduate Taught Courses
  • An introduction to postgraduate study
  • Postgraduate scholarships and bursaries
  • Postgraduate Research Programmes
    • How to apply for your Postgraduate Research programme
    • College of Arts and Humanities Postgrad Research Courses
    • College of Engineering Postgrad Research Courses
    • College of Human and Health Sciences Postgrad Research Courses
    • Hillary Rodham Clinton School of Law Postgrad Research Courses
    • College of Science Postgrad Research Courses
      • Physics
      • Geography
      • Computer Science
      • Maths
        • Stochastic Processes: Theory and Application, MRes
        • Mathematics, PhD/MPhil/MSc
      • Biosciences
      • Chemistry
    • Medicine Postgraduate Research Courses
    • School of Management Postgraduate Research Courses
    • Postgraduate Research Programmes coming soon!
  • How to apply for your postgraduate course
  • Postgraduate Fees and Funding
  • Postgraduate Open Days
  • Apply Online
  • Postgraduate Careers and Employability
  • Accommodation
  • Why study at Swansea
  • Academi Hywel Teifi
  • Student life
  • Student Services
  • Information for parents and advisors
  • Enrolment, Arrivals and Welcome
  • Postgraduate Enquiry
  • Postgraduate programme changes
  • Meet our postgraduate students
  • Postgraduate Prospectus
Apply Open Day Ask us a Question
  • Contact Us
  • Jobs
  • Colleges
  • Press
  • Health & Safety
  • Disclaimer & Copyright
  • Site Map
  • Privacy & Cookies
  • Modern Slavery Statement
  • Accessibility Statement
  • Swansea University is a registered charity, No. 1138342