Applications are invited for a 26-month position as Research Associate at the Probability Laboratory (ProbL@B) in the Department of Mathematical Sciences, working with Professor Mathew Penrose.
The position is funded by the EPSRC project "Coverage and Connectivity in Stochastic Geometry", and you will play a leading role in delivering the research objectives of this project.
The project is concerned with understanding aspects of the Boolean model, obtained as a collection of small (possibly overlapping) 'droplets' centred on a large 'cloud' of points placed at random in a bounded region of Euclidean space. We shall investigate whether the droplets fully cover this region, the component structure of the ensemble of droplets, and that of the complementary region. A key aim is to systematically understand the effect of the boundary of the region in question on the answers to these questions; earlier work dealt with regions without boundary such as a torus. As well as probabilistic techniques from areas such as percolation theory, extreme value theory and Poisson approximation, the project is likely to use ideas from differential geometry to understand these boundary effects, especially in higher dimensions.
Applications include areas such as communications engineering, machine learning, robotics, set estimation, and topological data analysis. In particular, BT (formerly British Telecom) is involved as a project partner, and you will be involved in working with them on the analysis and modelling of questions of particular interest to BT and within the mathematical remit of the project.
You must have (or expect soon to have) a PhD in Mathematics or relevant related discipline, and research expertise in probability theory, stochastic geometry or related area. You will be heavily involved in delivering the research project described above, and disseminating the results in leading academic journals and conferences. The project includes funding for a workshop in stochastic geometry, and you will be involved in the organization of this. You will also be encouraged to teach one full lecture course during your time in Bath.
The post is available from 1 December 2021 or as soon as possible thereafter.
For informal enquiries about this post please contact Mathew Penrose (email@example.com) or Cecile Mailler (firstname.lastname@example.org), however, please submit your application via the University website.
What we can offer you:
Our campus is surrounded by beautiful countryside, and the City of Bath with its historic charm and social activity only a short distance away creates an excellent environment in which to work.
a family friendly workplace
open to exploring flexible working opportunities which benefit you and the University.
recognising of the talents of our diverse workforce through an excellent reward package
encouraging of your personal and professional development
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