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Perturbations in Geometry and Boundary Values

Applications are invited for our EPSRC funded Doctoral Training Partnership (DTP) PhD studentship for the project “Perturbations in Geometry and Boundary Values” starting 1 April 2022. Successful applicants will receive an annual stipend (bursary) of £17,609, including inner London weighting, plus payment of their full-time tuition fees for a period of 36-months (3 years).

Applicants must be classified as a home (UK) tuition fee paying student to be eligible for this studentship.

The Project

This exciting research project is focused on studying the effect on differential operators as a result of perturbations to the underlying geometry or boundary conditions. Differential operators are often naturally determined by the underlying geometric structure and are also influenced by boundary conditions. In the recent past, progress has been made in understanding either geometric perturbations or that of self-adjoint local boundary conditions for the Spin-Dirac operator. Combining perturbations in both the geometry and also boundary conditions, considering operators beyond those that are self-adjoint, or considering more general operators than the Spin-Dirac operator are several possible directions that can be explored within this project.

Please contact Dr Lashi Bandara at lashi.bandara@brunel.ac.uk to arrange an informal discussion about the project.


Skills and Experience

Applicants should have a background in mathematics with familiarity and interest in geometry and analysis. Exposure and training in differential geometry and/or real-variable harmonic analysis would be considered a bonus. The applicant will need to demonstrate a high level of motivation as well as the ability to study independently and think critically. In addition to a strong sense of curiosity, applicants should exhibit enthusiasm to work on fundamental problems on the intersection of analysis and geometry.

Academic Entry Criteria

You will have or be expected to receive a 1st class or 2:1 honours degree in Mathematics. A postgraduate masters degree is not required but may be an advantage.


How to apply

Please submit the documents below as a single PDF file by email to cedps-pgr-office@brunel.ac.uk by 14:00 on Monday 28 February 2022.

  • Your up-to-date CV;
  • Your personal statement (300 to 500 words) summarising your background, skills and experience. Please state the name of the project supervisor at the top of your personal statement;
  • Your Undergraduate/Postgraduate Masters degree certificate(s) and transcript(s);
  • Your English Language qualification of IELTS 6.5 overall (minimum 6.0 in all sections) or equivalent, if applicable;
  • Contact details for TWO referees, one of whom can be a member of Brunel University academic staff.

Interviews will take place in early/mid-March 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.