Higher geometry and fluid dynamics

Start date

1 October 2024


3.5 years

Application deadline

Funding source

UKRI and/or University of Surrey

Funding information

We are offering the UKRI standard stipend (currently £18,622 per year) with an additional bursary of £1,700 per year for full 3.5 years for exceptional candidates. In addition, a research, training and support grant of £3,000 over the project is also offered. Full home or overseas tuition fees (as applicable) will be covered.


Over the past few years, it has been realised that fluid dynamics, such as Navier-Stokes flows, can be analysed geometrically through Monge-Ampere geometry. In particular, Navier-Stokes flows in three dimensions are governed by higher (categorified) symplectic geometry. This project aims at using the tools of higher geometry to understand the underpinnings of Navier-Stokes flows with the aim of shedding light on the geometry of vortices.

Eligibility criteria

Open to both UK and international candidates.

Up to 30% of our UKRI-funded studentships can be awarded to candidates paying international rate fees. Find out more about eligibility.

You will need to meet the minimum entry requirements for our Mathematics PhD programme.

How to apply

Applications should be submitted via the Mathematics PhD programme page. In place of a research proposal, you should upload a document stating the title of the project that you wish to apply for and the name of the relevant supervisor.

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Application deadline

Contact details

Martin Wolf
25A AA 04
Telephone: +44 (0)1483 684770
E-mail: m.wolf@surrey.ac.uk

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