Gábor Székelyhidi

Gábor Székelyhidi (* 1981 ) is a mathematician who studies differential geometry .

Gábor Székelyhidi, the brother of László Székelyhidi , studied at Cambridge University (Trinity College) with a bachelor's degree in 2002 (Part 3 of Tripos 2003 with honors) and received his doctorate in 2006 from Imperial College London under Simon Donaldson (Extremal metrics and K- stability). He was a post-doctoral student at Harvard University and was Ritt Assistant Professor at Columbia University from 2008 to 2011 . In 2011 he became Assistant Professor, 2014 Associate Professor and 2016 Professor at the University of Notre Dame .

He deals with geometrical analysis and complex differential geometry ( Kähler manifold ), including the existence of canonical metrics (such as extreme Kähler and Kähler-Einstein metrics) on projective surfaces.

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (Extreme Kähler metrics).

Fonts (selection)

• with Tosatti, Weinkove: Gauduchon metrics with prescribed volume form, Acta Mathematica, Volume 219, 2017, pp. 181–211
• An introduction to extremal Kähler metrics, Graduate Studies in Mathematics 152, AMS 2014
• On blowing up extremal Kähler manifolds, Duke Math. J., Volume 161, 2012, pp. 1411-1453, Part 2, Invent. Math., Volume 200, 2015, pp. 925-977
• The Kähler-Ricci flow and K-polystability, Am. J. Math., Vol. 132, 2010, pp. 1077-1090
• Greatest lower bounds on the Ricci curvature of Fano manifolds, Compositio Mathematica, Volume 147, 2011, pp. 319-331
• with Valentino Tosatti : Regularity of weak solutions of a complex Monge-Ampere equation, Anal. PDE, Volume 4, 2011, pp. 369-378
• Extremal metrics and K-stability, Bull. London Math. Soc., Volume 39, 2007, pp. 76-84
• An introduction to extreme Kaehler metrics (pdf)

Web links

• Homepage
• An introduction to extreme Kaehler metrics (pdf)

Individual evidence

1. ↑ Gábor Székelyhidi in the Mathematics Genealogy Project (English)