Gábor Székelyhidi

Gábor Székelyhidi (born 30 June 1981 in Debrecen) is a Hungarian mathematician, specializing in differential geometry.

Gábor Székelyhidi, the brother of , graduated from Trinity College, Cambridge with a bachelor's degree in 2002 (part 3 of Tripos 2003 with honours) and received from Imperial College London his Ph.D. in 2006 under the supervision of Simon Donaldson with thesis Extremal metrics and K-stability.^[1] Székelyhidi was a postdoc at Harvard University and was from 2008-2011 Ritt Assistant Professor at Columbia University. At the University of Notre Dame he became an assistant Professor in 2011, an associate professor in 2014, and in 2016 a full professor.

His research deals with geometric analysis and complex differential geometry (Kähler manifolds), including the existence of canonical metrics (such as extremal Kähler and Kähler-Einstein metrics) on projective manifolds.

In 2014 he was an invited speaker at the International Congress of Mathematicians in Seoul.^[2]

Selected publications[]

• An Introduction to Extremal Kähler Metrics, Graduate Studies in Mathematics 152, AMS 2014^[3]
• On blowing up extremal Kähler manifolds, Duke Math. J., Vol. 161, 2012, pp. 1411–1453; Blowing up extremal Kähler manifolds II, Invent. Math., Vol. 200, 2015, pp. 925–977 doi:10.1007/s00222-014-0543-y
• The Kähler-Ricci flow and K-polystability, Am. J. Math., Vol. 132, 2010, pp. 1077–1090 doi:10.1353/ajm.0.0128
• Greatest lower bounds on the Ricci curvature of Fano manifolds, Compositio Mathematica, vol. 147, 2011, pp. 319–331 doi:10.1112/S0010437X10004938
• with Valentino Tosatti: Regularity of weak solutions of a complex Monge-Ampere equation, Anal. PDE, Vol. 4, 2011, pp. 369–378 doi:10.2140/apde.2011.4.369
• Extremal metrics and K-stability, Bull. London Math. Soc., Vol. 39, 2007, pp. 76–84 doi:10.1112/blms/bdl015
• An introduction to extremal Kaehler metrics (pdf)

References[]

External links[]

• Homepage
• "Gabor Szekelyhidi, The Partial C⁰ Estimate Along the Continuity Method". 17 August 2014.
• "ICM2014 VidoeSeries IL5.11: Gábor Székelyhidi on Aug19Tue". 19 August 2014.