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PhD Studentship in Mathematics on Limit theorems for random convex hulls

   School of Mathematical & Physical Sciences

   Thursday, June 30, 2022  Funded PhD Project (Students Worldwide)

About the Project

Convex hulls are employed as tractable yet reasonably accurate approximation for sets of more complicated structure. Selecting the sets at random, for example taking a finite number of points in space according to some probability distribution, produces a random convex hull. The most popular models assume that these points are sampled independently or are the steps of a random walk. The project aims to study geometric properties (e.g. the number of vertices or the surface area) of a typical random convex hull of such type when the number of points is large. The project is suitable for a student with interest in theoretical probability, who will work under the supervision of Dr Vladislav Vysotskiy. The student will join the probability group, which is a very active part of the Mathematics department at the University of Sussex.

Apply through the University of Sussex on-line system. 


Select the PhD in Mathematics, with an entry date of September 2022.

In the Finance & Fees section, state that you wish to be considered for studentship no MPS/2022/Maths/02

We advise early application as the position will be filled as soon as a suitable applicant can be found.

Due to the high volume of applications received, you may only hear from us if your application is successful.

Funding Notes

Fully-paid tuition fees for three and a half years.
A tax-free bursary for living costs for three and a half years. From October 2022/23 this is expected to be £16,062 per year.
A support grant for three and a half years of £1,650 per year for travel and conferences.
If you are not a UK national, nor an EU national with UK settled/pre-settled status, you will need to apply for a student study visa before admission.

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