The aim of the project is to explore algebraic geometry tools for the study of approximation methods based on piecewise polynomial functions, also known as splines. Splines are a powerful tool widely used in different challenges arising in computational mathematics, such as the numerical approximation of partial differential equations (the finite element method), the parametrization of shapes in geometric modelling and computer-aided geometric design, and data science. This project will focus on algebraic aspects of splines, its ring structure, and its consequences in concrete computational problems such as the construction of suitable spline spaces for approximation. This project can be oriented towards the applicant's interest on theoretical or computational aspects of the topic.
Swansea University Information
Established in 1920, Swansea University is a non-profit public higher education institution located in the suburban setting of the large town of Swansea (population range of 50,000-249,999 inhabitants), Wales. Officially accredited and/or recognized by the Privy Council, Swansea University is a large (uniRank enrollment range: 15,000-19,999 students) coeducational higher education institution. Swansea University offers courses and programs leading to officially recognized higher education degrees such as pre-bachelor degrees (i.e. certificates, diplomas, associate or foundation degrees), bachelor degrees, master degrees, doctorate degrees in several areas of study. See the uniRank degree levels and areas of study matrix below for further details. This 99 years old higher-education institution has a selective admission policy based on entrance examinations and students' past academic record and grades. International applicants are eligible to apply for enrollment.
Eligibility Criteria
Candidates must have a first, upper second-class honours or a Master's degree with Merit, in a relevant discipline.
For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.
Studentships funded by EPSRC are subject to UK/EU residency eligibility. Normally, this means to be eligible for a full award (fees plus stipend) you must:
- Have been ordinarily resident in the UK, meaning there are no restrictions on how long you can stay, and;
- Have been 'ordinarily resident' in the UK for at least three years prior to the start of the Studentship grant, and;
- Have not been residing in the UK wholly or mainly for the purpose of full-time education. (This does not apply to UK nationals and EU nationals who were ordinarily resident in the EU immediately before the period of full-time education).
For this particular EPSRC opportunity, we are also able to consider your application if you are an EU national who does not meet the residential eligibility criteria outlined above; this is possible through EPSRC’s flexibility regarding `open eligibility’.
Offered Benefits
This scholarship covers the full cost of UK/EU tuition fees and an annual stipend of £15,285.
Application Process
Position is open until filled. Applications will be assessed on a rolling basis.
To apply for this scholarship please complete the **College of Science PGR Scholarship Application **and Equality, Diversity and Inclusion Monitoring Form, and return them to the College of Science with the following:
- Academic References – all scholarship applications require two supporting references to be submitted. Please ensure that your chosen referees are aware of the funding deadline, as their references form a vital part of the evaluation process. Please either include these with your scholarship application or ask your referees to send them directly to science-scholarships@swansea.ac.uk
- Academic Transcripts and Degree Certificates – academic transcripts and degree certificates must be submitted along with the scholarship application by the funding deadline. We will be using these to verify your academic qualifications.
- A recent CV
- Candidates should use the ‘Supplementary Personal Statement’ section of the application form to explain why the award they are applying for particularly matches their skills and experience and how they would choose to develop the project.
Please email the documents to science-scholarships@swansea.ac.uk with ‘EPSRC DTP A – MATHS SCHOLARSHIP 2020-2021’ in the email subject header.
Established in 1920, Swansea University is a non-profit public higher education institution located in the suburban setting of the large town of Swansea (population range of 50,000-249,999 inhabitants), Wales. Officially accredited and/or recognized by the Privy Council, Swansea University is a large (uniRank enrollment range: 15,000-19,999 students) coeducational higher education institution. Swansea University offers courses and programs leading to officially recognized higher education degrees such as pre-bachelor degrees (i.e. certificates, diplomas, associate or foundation degrees), bachelor degrees, master degrees, doctorate degrees in several areas of study. See the uniRank degree levels and areas of study matrix below for further details. This 99 years old higher-education institution has a selective admission policy based on entrance examinations and students' past academic record and grades. International applicants are eligible to apply for enrollment.