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Topological invariants of random geometric complexes in the dense limit

Applications are invited for our EPSRC funded Doctoral Training Partnership (DTP) PhD studentships that will support six (6) research projects starting 1 October 2022. One of these projects is “Topological invariants of random geometric complexes in the dense limit led by Dr Xiaochuan Yang in the Department of Mathematics

Successful applicants will receive an annual stipend of £18,062 including outer London allowance plus payment of their full-time tuition fees for a period of 42 months (3.5 years).

You should be eligible for home (UK) tuition fees but there is a limited number of studentships (no more than two) available to overseas applicants, including EU nationals, who meet the entry criteria.

The Project

Motivated by applications in topological data analysis, we are interested in characterising limiting behaviour of topological invariants of simplicial complexes built from data points in either a Euclidean space, or a submanifold thereof, when the intensity of points goes to infinity. Theoretical findings will be complemented by empirical data analysis in collaboration with our industrial partner.

Please contact Dr Xiaochuan Yang at xiaochuan.yang@brunel.ac.uk to find out more.

Eligibility

You will have or will receive an undergraduate degree classified at 1st class or 2:1 (honours) in mathematics. A postgraduate masters degree may be an advantage. Where appropriate, applicants must have English language proficiency to an overall score of IELTS 6.5 or equivalent.

Skills and Experience

You should have a background in Probability/Statistics and/or Topology. It would be advantageous to have experience or interest in Algorithms. You should be a highly motivated individual and possess a strong sense of curiosity. The ability to study independently, think critically and collaborate with others is essential.

How to apply

Email the documents below as a single PDF file to cedps-studentships@brunel.ac.uk by 16:00 on Friday 3 June 2022. Please state the name of the project supervisor in your email.

  • Your up-to-date CV;
  • Your 300-word personal statement setting out why you are suitable for this position;
  • Your Undergraduate/Postgraduate Masters degree certificate(s) and transcript(s);
  • Your English Language qualification of IELTS 6.5 overall or equivalent, if applicable;
  • Two references, one of which can be provided by a member of Brunel University academic staff.

Interviews will take place in June 2022.

Meet the Supervisor(s)


Xiaochuan Yang - I am Lecturer in Mathematics/Statistics at Brunel. My research interest lies in Probability Theory and its connection with analysis, statistics, and other disciplines of science and technology such as physics, machine learning, geometric and topological data analysis. Before joining Brunel, I held the position of EPSRC postdoc at the University of Bath, the Luxembourg-Singapore bilateral postdoc position, and visiting assistant professor position at Michigan State University.