Mathematics, Ph.D. / MSc by Research / M.Phil.
Work in our brand new Computational Foundry
Awards and Rankings
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:
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.
Areas of interest – infinite dimensional stochastic analysis, Lévy-type processes and pseudo-differential operators, mathematical models of population ecology.
Areas of interest - Computational Topology, Data Science, Lattice Gauge Theory, Mathematical Biology, Cancer Research.
Areas of interest – mathematical pharmacology; heat and mass transfer models for plant cooling; modelling cellular signal transduction dynamics, and mathematical oncology.
Entry Requirements
We consider all applicants on their own merits and welcome applications from students with a wide range of qualifications.
Entry Requirements
Note for international and European applicants: details of how your qualification compares to the published academic entry requirements can be found on our Country Specific Entry Requirements page.
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).
MPhil: Applicants for MPhil must normally hold an undergraduate degree at 2.1 level (or Non-UK equivalent as defined by Swansea University).
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).
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, one reference is required before we can progress applications to the Faculty research programme, academic Admissions Tutor for consideration.
Please note that any protracted delay in receiving the outstanding reference 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 to assist in the process of obtaining the outstanding reference or alternatively, hold submission of application until a reference is sourced. Please note that it is not the responsibility of the University Admissions Office to obtain missing reference after our initial email is sent to your nominated referee, requesting a reference 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 £32.5m Computational Foundry for computer and mathematical sciences. 100% of publications are world-leading and internationally excellent - Research Excellence Framework (REF) 2021
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
No Provision
Unfortunately, there is currently no formal Welsh-medium provision on this course. If you would like to let us know that you are interested in pursuing an element of your course through the medium of Welsh, please email astudio@abertawe.ac.uk to indicate your interest along with your year of entry and we will do our best to see what is possible.
Whilst this course does not offer academic content delivered in Welsh, the University can provide you with the following, and Academi Hywel Teifi is here to support you:
- An interview through the medium of Welsh when applying for a place.
- The option to receive your personal correspondence in Welsh, English or bilingually.
- 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 your work will be marked in Welsh.
- A Welsh-speaking Personal Tutor.
- One-to-one support through the medium of Welsh to improve your academic skills.
- An opportunity to gain an additional free qualification that serves as evidence of your Welsh language ability for future employers, namely the WJEC and Coleg Cymraeg's Welsh Language Certificate.
- Opportunity to be a member of the Swansea University Branch of the Coleg Cymraeg Cenedlaethol.
To learn more about the above and all the opportunities available to you through the medium of Welsh, visit Academi Hywel Teifi's undergraduate pages.
Tuition Fees
Ph.D. 3 Year Full Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 5,238 | £ 22,350 |
| January 2027 | £ 5,238 | £ 22,350 |
| April 2027 | £ 5,238 | £ 22,350 |
| July 2027 | £ 5,238 | £ 22,350 |
| October 2027 | £ 5,450 | £ 23,450 |
| January 2028 | £ 5,450 | £ 23,450 |
| April 2028 | £ 5,450 | £ 23,450 |
| July 2028 | £ 5,450 | £ 23,450 |
Ph.D. 6 Year Part Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 2,619 | £ 11,200 |
| January 2027 | £ 2,619 | £ 11,200 |
| April 2027 | £ 2,619 | £ 11,200 |
| July 2027 | £ 2,619 | £ 11,200 |
| October 2027 | £ 2,725 | £ 11,750 |
| January 2028 | £ 2,725 | £ 11,750 |
| April 2028 | £ 2,725 | £ 11,750 |
| July 2028 | £ 2,725 | £ 11,750 |
MSc by Research 1 Year Full Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 5,238 | £ 22,350 |
| January 2027 | £ 5,238 | £ 22,350 |
| April 2027 | £ 5,238 | £ 22,350 |
| July 2027 | £ 5,238 | £ 22,350 |
| October 2027 | £ 5,450 | £ 23,450 |
| January 2028 | £ 5,450 | £ 23,450 |
| April 2028 | £ 5,450 | £ 23,450 |
| July 2028 | £ 5,450 | £ 23,450 |
MSc by Research 2 Year Part Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 2,619 | £ 11,200 |
| January 2027 | £ 2,619 | £ 11,200 |
| July 2027 | £ 2,619 | £ 11,200 |
| October 2027 | £ 2,725 | £ 11,750 |
| January 2028 | £ 2,725 | £ 11,750 |
| July 2028 | £ 2,725 | £ 11,750 |
M.Phil. 2 Year Full Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 5,238 | £ 22,350 |
| January 2027 | £ 5,238 | £ 22,350 |
| April 2027 | £ 5,238 | £ 22,350 |
| July 2027 | £ 5,238 | £ 22,350 |
| October 2027 | £ 5,450 | £ 23,450 |
| January 2028 | £ 5,450 | £ 23,450 |
| April 2028 | £ 5,450 | £ 23,450 |
| July 2028 | £ 5,450 | £ 23,450 |
M.Phil. 4 Year Part Time
| Start Date | UK | International |
|---|---|---|
| October 2026 | £ 2,619 | £ 11,200 |
| January 2027 | £ 2,619 | £ 11,200 |
| April 2027 | £ 2,619 | £ 11,200 |
| July 2027 | £ 2,619 | £ 11,200 |
| October 2027 | £ 2,725 | £ 11,750 |
| January 2028 | £ 2,725 | £ 11,750 |
| April 2028 | £ 2,725 | £ 11,750 |
| July 2028 | £ 2,725 | £ 11,750 |
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.
Note: The 2027/2028 UK fee is indicative pending confirmation from UKRI.
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.
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.
Application Deadlines can be found on our Application Deadlines webpage.
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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
| Award Level (Nomenclature) | PhD in Mathematics |
|---|---|
| Programme Title | Mathematics |
| Director of Postgraduate Research | Professor Maurizio Piai |
| Awarding Body | Swansea University |
| Department/School | Department 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:
- The opportunity to conduct high quality postgraduate research in a world leading research environment.
- Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
- 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’ Department/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 Department 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 Department 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 Department 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 Department 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
| Award Level (Nomenclature) | MPhil in Mathematics |
|---|---|
| Programme Title | Mathematics |
| Director of Postgraduate Research | Professor Maurizio Piai |
| Awarding Body | Swansea University |
| Department/School | Department 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:
- The opportunity to conduct high quality postgraduate research in a world leading research environment.
- Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
- 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’ Department/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 Department 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 Department 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 Department 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 Department 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
| Award Level (Nomenclature) | MSc by Research in Mathematics |
|---|---|
| Programme Title | Mathematics |
| Director of Postgraduate Research | Professor Maurizio Pial |
| Awarding Body | Swansea University |
| Department/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:
- The opportunity to conduct high quality postgraduate research in a world leading research environment.
- Key skills needed to undertake advanced academic and non-academic research including qualitative and quantitative data analysis.
- 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’ Department/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 Department 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 Department 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 Department of Science
Swansea Department of Science has been recognised as being world-leading and having an impact globally. So many members of the Department 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 Department 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.
Programme Disclaimer
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.
The information below is for students starting their courses in 2016 or later.
The University will not normally make very substantial changes to courses (for example, a change to the course title, significant restructuring, substantial change in course content, or the introduction of a progression hurdle) which would impact on students who have already begun their course. In exceptional circumstances, it may be necessary for the University to make such a change after acceptance of a place by an offer-holder. This will not happen less than 5 months before enrolment. The offer-holder will be notified of the change and will have the opportunity to withdraw their application and apply elsewhere.
Other changes could be made to course content, study location, delivery and teaching provision because of developments in the relevant subject, enhancements in teaching or assessment practice, requirements of external accreditation processes, changes in staffing, resource constraints or changes in the availability of facilities. Such changes will take account of the reasonable expectations of prospective and current students.