Swansea University 2023 EPSRC Scholarship for International Students (Fully-funded)

Since the early seminal work of mathematical physicist Giorgio Parisi (Nobel Prize laureate in Physics in 2021) and the revolutionary work of the 2014 Fields Medallist Sir Martin Hairer, Stochastic Partial Differential Equations (SPDEs) becomes a very active research field with many cutting-edge and challenging research topics, and with diverse applications to real-world problems. This project will investigate qualitative and quantitative properties of stochastic partial differential equations driven by Brownian motion and/or fractional Brownian motion, alpha-stable processes, point processes (Poisson and beyond), focusing on stochastic heat equations, stochastic conservation laws, and stochastic Burgers/KPZ equations.

The approach consists of probabilistic, analytic, and computational methods. The project is suitable to a student who has a solid foundation in probability theory, functional analysis, and/or numerical analysis, with a moderate knowledge of partial differential equations. The student working on this project would first be trained in techniques spanning a diverse range of disciplines: stochastic processes and random fields, stochastic calculus, computational and statistical methods with simulations, and selected topics on partial differential equations. They would then develop the well-posedness of the concerned stochastic equations and corresponding numerical schemes (if interested). They would also try to develop new equations, linked to advanced modeling in applied subject areas or industrial mathematics.

Eligibility Criteria

• Candidates 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 and international applicants (available at the bottom of the page)’.
• English Language requirements: IELTS 6.0 Overall (with no individual component below 5.5) or Swansea recognised equivalent. Details on the Swansea University English Language entry policy can be found here.

Benefits of Swansea University EPSRC Scholarship

• This scholarship covers the full cost of UK tuition fees and an annual stipend of £17,668.
• Additional research expenses will also be available.

Documents Required for Application

• CV
• Degree certificates and transcripts (if you are currently studying for a degree, screenshots of your grades to date are sufficient)
• A cover letter including a ‘Supplementary Personal Statement’ to explain why the position particularly matches your skills and experience and how you choose to develop the project.
• Two references (academic or previous employer) on headed paper or using the Swansea University reference form. Please note that we are not able to accept references received citing private email accounts, e.g. Hotmail. Referees should cite their employment email address for verification of reference.
• Evidence of meeting English Language requirement (if applicable).
• Copy of UK resident visa (if applicable)
• Confirmation of EDI form submission (optional)

How to Apply

Go to Swansea University on www.swansea.ac.uk to apply