Postdoctoral Research Associate in Applied
2 days ago
Applications are invited for a Postdoctoral Research Associate position in the Department of Mathematics at the University of Liverpool. You will work under the supervision of Dr Andreas Alpers. The position is funded by Dr Alpers¿ E.P.S.R.C New Investigator Award project “Optimal Grain Diagrams: Mathematical Analysis and Algorithms”. You will contribute to a programme of work that aims at enabling new materials discovery by advancing the theory and computation of geometric diagram structures describing polycrystals by exploiting a recently established link to constrained clustering.
One of the fundamental challenges for new materials discovery is to understand and control the forming of grain structures in metals, alloys, ceramics, and other polycrystals. In practice, grain structures are accessible as grain maps, i.e., as large 2D or 3D images resulting from an imaging process. Analysing geometric features in these data sets if of crucial importance for understanding and predicting materials properties. Grain structures can be approximated by Voronoi diagrams. Dr Alpers and co-authors have shown in 2015 that so-called generalised balanced power diagrams, computed by clustering techniques, yield unprecedented, good fits to measured grain structures. As they could recently show that the clustering technique can be optimised to involve only a small number of pixels/voxels, it is timely to develop these and similar grain diagrams into a transformative tool for new materials discovery, enabling, for the first time, time-resolved high-resolution studies. The project will combine and advance methods from Data Science (Constrained Clustering), Optimisation, and Convex Geometry.
Dr Alpers is committed to supporting the career development of Postdoctoral Research Associates. You will have the opportunity to visit and collaborate with international research partners in Germany and Denmark, and to attend key conferences to present the results from your work. As Postdoctoral Research Associate in the Department of Mathematical Sciences, you will also be affiliate to the Centre for Mathematical Imaging Techniques (CMIT). The centre has many contacts with industry as well an extensive academic network and a strong track record of top-quality published research work.
This post is available as soon as possible for 24 months, with potential for extension depending on funding availability.
Any applicants who are still awaiting their PhD to be awarded should be aware that if successful, they will be appointed at grade 6, spine point 30. Upon written confirmation that they have been successful in being awarded their PhD, they will be moved onto grade 7, spine point 31 from the date of their award.
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