Prof. Dr. László Székelyhidi
Applied Mathematics, Institute of Mathematics, Universität Leipzig
László Székelyhidi was selected for the 2018 Leibniz Prize for his important research in the theory of partial differential equations. The methods he developed have enriched the interchange between geometry and analysis in mathematics. His new insights have a significance far beyond his own research area, for example in the understanding of Euler equations in hydrodynamics and elasticity theory in continuum mechanics. Euler equations have posed a major challenge in mathematics for over 200 years. Together with Camillo De Lellis, Székelyhidi has developed new approaches to the construction of non-smooth solutions to Euler equations. These led to a complete proof of Onsager’s conjecture, which states that solutions below a certain Hölder continuity do not conserve energy but can reduce or, in a non-physical way, increase it. In the field of elasticity theory in continuum mechanics, Székelyhidi, in his doctoral thesis, succeeded in constructing a polyconvex variation problem with an extremal that cannot be differentiated at any point. In collaboration with Daniel Faraco he achieved another scientific breakthrough with a compactness result, which is closely related to Morrey’s conjecture.
László Székelyhidi studied mathematics at Oxford University and wrote his dissertation in the natural sciences at the Max Planck Institute for Mathematics in Leipzig. In 2003 he earned his doctorate from the University of Leipzig, which was followed by research stays at Princeton University and ETH Zurich. In 2007 he was appointed professor at the University of Bonn and since 2011 he has held a professorship at the Institute of Mathematics at the University of Leipzig. In 2017 he was awarded a Consolidator Grant from the European Research Council.