Zakarias Sjöström Dyrefelt studies geometric partial differential equations on manifolds via variational methods, complex differential geometry, pluripotential theory and transcendental methods in algebraic geometry. A guiding open problem in the area is the Yau-Tian-Donaldson conjecture which predicts that the important but complicated question of existence of constant scalar curvature Kähler metrics is equivalent to a relatively easily tested property called K-stability. Zakarias’ research has already provided significant contributions to this active area, with ideas and techniques that apply to a wide range of new situations and have potential to be applied to other equations, such as Hermitian-Einstein metrics, motivated by gauge theory in physics, and to spaces with singularities.

Having obtained his Master’s degree at the University of Göteborg, 2015, Zakarias Sjöström Dyrefelt studied in France earning his PhD from the Université Toulouse III, Paul Sabatier and the École Polytechnique, Paris. He has since held positions at Chalmers University of Technology, Göteborg, the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste and Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste.

During the first three years of his appointment Zakarias will also be an Assistant Professor at the Aarhus Institute of Advanced Studies under an AIAS-COFUND Fellowship.