The Department of Mathematics at the University of Sussex offers a fixed term three years (36 months) post doctoral position in Analysis of Partial Differential Equations (PDEs).
The post has become available through the award of an EPSRC grant to Dr Ali Taheri for the project “Topology of Sobolev spaces and quasiconvextiy: multiplicity and singularity analysis for extremals and local minimizers”.
The aim of the project is to extend and deepen our understanding of quasiconvexity and to discover and exploit further its close links to PDEs, geometry and topology as well as some of its intimate and key applications in mechanics, nonlinear elasticity, and material sciences.
On a more mathematically rigorous front the prime objective of this research is to develop new tools and cutting-edge techniques for establishing sharp and optimal regularity results, to devise fine singularity analysis for various classes of extremals and local minimizers of quasiconvex variational integrals and to obtain a clearer picture of the energy landscape on the relevant function spaces.
We welcome applications from all candidates in related areas broadly interpreted but candidates with major interest in Mathematical Analysis, Calculus of Variations, PDEs, Geometric Analysis and Geometric Function Theory are particularly welcome.