StudyQA — PhD: Partial Differential Equations

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Description Contents Requirements Funding

The central aim of the EPSRC Centre for Doctoral Training (CDT) in Partial Differential Equations (PDEs) is to educate cohorts of highly trained, outstanding mathematicians with deep expertise and interdisciplinary skills in the analysis and applications of PDEs, to help drive scientific advances over the next fifty years.

The role of PDEs within mathematics, especially nonlinear analysis, geometry, topology, stochastic analysis, numerical analysis, and applied mathematics, and in other sciences (such as physics, chemistry, life sciences, climate modelling/prediction, materials science, engineering, and finance) is fundamental; it is at the heart of many scientific advances and is becoming increasingly significant.

At the same time, the demands of applications have led to important developments in the analysis of PDEs, which have in turn proved valuable for applications.

A sizeable yearly cohort has allowed the CDT to create new training mechanisms, so that you will learn theory, analysis, and applications of PDEs in a variety of fields in a coherent manner with a natural progression, by-passing a traditionally separate 'pure' or 'applied' approach to learning.

You will undertake a four-year programme with the first year consisting of a set of intensive courses focusing on the analysis and applications of PDEs. The first year also includes two ten-week mini-projects allowing you to broaden your knowledge and find a field suitable for you to develop your main research topic for years two to four.

There will be annual reviews of your progress, drawing on indicators such as attendance, assessment of your mini-projects, and course results at the end of your first year, followed by the submission of a written report, in support of your transfer from Probationary Research Student status to DPhil status at the end of your second year, and a Confirmation of Status interview at the end of your third year, to ascertain progression towards the submission of your DPhil thesis.

Applicants are normally expected to be predicted or have achieved a first-class undergraduate degree with honours (or equivalent international qualifications), as a minimum, in mathematics or a related numerate discipline.

For applicants with a degree from the USA, the minimum GPA sought is 3.6 out of 4.0.

A previous master's degree is not required, though the requirement for a first-class undergraduate degree with honours can be alternatively demonstrated by strong performance in a master's degree.

Highly motivated and mathematically capable students with a degree in other subjects are also encouraged to apply.

If you hold non-UK qualifications and wish to check how your qualifications match these requirements, you can contact the National Recognition Information Centre for the United Kingdom (UK NARIC).

No Graduate Record Examination (GRE) or GMAT scores are sought.

Official transcript(s)
CV/résumé
Statement of purpose/personal statement:One to two pages
References/letters of recommendation:Three overall, generally academic

ENGLISH LANGUAGE REQUIREMENTS

Standard level

Test	Standard level scores		Higher level scores
IELTS Academic Institution code: 0713	7.0	Minimum 6.5 per component	7.5	Minimum 7.0 per component
TOEFL iBT Institution code: 0490	100	Minimum component scores: Listening: 22 Reading: 24 Speaking: 25 Writing: 24	110	Minimum component scores: Listening: 22 Reading: 24 Speaking: 25 Writing: 24
Cambridge Certificate of Proficiency in English (CPE)	185	Minimum 176 per component	191	Minimum 185 per component
Cambridge Certificate of Advanced English (CAE)	185	Minimum 176 per component	191	Minimum 185 per component