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The uniform topology of rough Riemannian metrics

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 “The uniform topology of rough Riemannian metrics led by Dr Lashi Bandara 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

Rough Riemannian structures have been identified in recent times as an important class of geometric invariances of analytic objects. Though some immediate facts are known, there has not been a systematic study of this set. The goal here would be to study this set by endowing it with an extended distance metric. This includes understanding limits of sequences in this space and relating this space to other well-known topologies, such as the measured-Gromov-Hausdorff topology.

Please contact Dr Lashi Bandara at lashi.bandara@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 maths or physics. 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

Training in and exposure to metric analysis, differential geometry, or real-variable harmonic analysis is required. 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)


Lashi Bandara -   I am currently a Lecturer in Mathematics. Previously, I was a postdoc working with Christian Bär in the  Geometry group at the University of Potsdam funded by SPP2026 "Geometry at Infinity" from the German Research Foundation .  Prior to that,  I was postdoc working with Andreas Rosén in  Harmonic and Functional Analysis at Gothenburg University funded by the Knut and Alice Wallenberg Foundation. I did my PhD, titled Geometry and the Kato Square Root Problem,  at the Australian National University under the supervision of the late Alan McIntosh.