Strathclyde Postgraduate Research Scholarship in Multidimensional Visibility Graphs and Submonolayer Deposition

  • Master
  • Full fees + £15,285 p.a. stipend
  • 30 September 2020
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The project deals with VISIBILITY GRAPHS. It will involve numerical work (kinetic Monte Carlo simulations) as well as methods of network and graph theory, primarily spectral analysis of adjacency matrices and Laplacians of the visibility graphs, and centrality and communicability indices of these graphs, Voronoi cell decompositions, and at a later stage Minkowski functionals and persistent homology. Thus this is a project that applies a variety of analytical, topological, and computational tools to an important industrial problem which we will describe below.
Visibility graphs will be used to allow us better to differentiate between mechanisms of realistic multidimensional extended island Submonolayer Deposition (SD) processes as the first step to a better control of the resulting morphology. For different processes, different morphologies of the resulting surface (substrate covered in islands) are important. For quantum dots, for example, one would like to have islands of particular size and shape periodically spaced on the surface; in other contexts uniform layers of deposition are needed as basis for "sandwich''-like arrangements of materials. The overall aim is to extend the machinery created by Allen, Grinfeld and Mulheran Physica A 532 (2019), 121872) for SD in a one-dimensional setting and point islands to a realistic multidimensional context involving extended islands.
University of Strathclyde
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University of Strathclyde

The University of Strathclyde is a public research university located in Glasgow, Scotland.

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Applicants should have, or be expecting to obtain in the near future, a first class or good 2.1 honours degree (or equivalent) in mathematics, engineering or a mathematical science.


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The successful recipient of the award will have their full Home/EU fees covered for the 4-year duration of the project, as well as receiving an annual stipend for living costs. The stipend rate for the 2020/21 academic year is £15,285 per annum.
Additionally, the award provides a Research Training Support Grant (RTSG) of £5,000 over the 4-year duration of the studentship for the purpose of incidental costs associated with conference attendance, travel for research purposes and consumables.


Apply via the website.
During the application you'll be asked for the following:
  • your full contact details
  • transcripts and certificates of all degrees
  • proof of English language proficiency if English isn't your first language
  • two references, one of which must be academic
  • funding or scholarship information
  • research proposal of 250 to 1,000 words in length, detailing the subject area and topic to be investigated
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