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Jan Gutowski is visiting the Department of Mathematics at King’s College London today (Wednesday 14 February), and giving a talk in the Triangle Seminar Series on “Highly supersymmetric AdS solutions“. Anti-de-Sitter solutions play an important role in the gauge-theory/gravity correspondence, and understanding their properties has provided important insights into the dual field theories. In the talk, Jan considers ADS solutions which are highly supersymmetric, in the sense that they preserve more than 16 supersymmetries, and he shows how modified versions of the homogeneity theorems of Figureoa-O’Farrill, combined with aspects of the global properties of the geometries, can be used to classify these solutions.
The paper “q-Poincare invariance of the AdS-3/CFT-2 R-matrix” co-authored by Riccardo Borsato (Nordita-Sweden), Surrey PhD student Joakim Strömwall and Alessandro Torrielli has been accepted for publication in Physical Review E. The final form preprint is available for downloading here.
The paper “Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains” by Matt Turner has been accepted for publication in the Quarterly Journal of Mechanics and Applied Mathematics. The paper cleverly utilizes conformal mappings of a multiply connected domain to formulate a numerical procedure which has the ability to simulate an inviscid sloshing fluid in a rectangular vessel, with submerged side-wall baffles. The conformal mappings used are based upon the highly versatile Schottky-Klein prime function which allows the mapping to be easily modified from a doubly-, to a triply-, to an N-fold-connected domain. Results for the form of the conformal mapping are presented for 1 and 2 submerged baffles in both infinite and finite depth fluids.
UK Success Stories in Industrial Mathematics features case studies of 37 mathematicians playing a role in the performance of businesses, including increased output, productivity and profit.
New research in the journal Science of the Total Environment has highlighted the dangerous effects of indoor pollution on human health, and has called for policies to ensure closer monitoring of air quality.
I enjoyed doing the project a lot, it is a very relaxed working environment and there was a lot of flexibility for me to investigate the areas of the project that I found most interesting.