Gábor Székelyhidi
{{short description|Hungarian mathematician}}
Gábor Székelyhidi (born 30 June 1981 in Debrecen) is a Hungarian mathematician, specializing in differential geometry.
Gábor Székelyhidi, the brother of László Székelyhidi, 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 PhD in 2006 under the supervision of Simon Donaldson with thesis Extremal metrics and K-stability.{{MathGenealogy|id=107702}} Székelyhidi was a postdoc at Harvard University and was from 2008 to 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. He is currently a professor at Northwestern University.
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, and the relations between extremal metrics and K-stability for polarised varieties and especially Fano varieties.
In 2014 he was an invited speaker at the International Congress of Mathematicians in Seoul.{{cite arXiv|author=Székelyhidi, Gábor|title=Extremal Kähler metrics|year=2014|eprint=1405.4836|class=math.DG}} He was elected as a Fellow of the American Mathematical Society in the 2024 class of fellows.{{cite web|url=https://www.ams.org/fellows_by_year.cgi?year=2024|title=2024 Class of Fellows of the AMS|publisher=American Mathematical Society|access-date=2023-11-09}}
Selected publications
- {{cite book | last=Szekelyhidi | first=Gabor | title=An introduction to extremal Kähler metrics | publication-place=Providence, Rhode Island | date=2014 | isbn=978-1-4704-1047-6 | oclc=871316164}}{{cite web|author=Zaldivar, Felipe|title=Review of An Introduction to Extremal Kohler Metrics by Gábor Székelyhidi|date=15 February 2015|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/an-introduction-to-extremal-k-hler-metrics}}
- {{cite journal | last=Székelyhidi | first=Gábor | title=Blowing up extremal Kähler manifolds II | journal=Inventiones Mathematicae | publisher=Springer Science and Business Media LLC | volume=200 | issue=3 | date=26 August 2014 | issn=0020-9910 | doi=10.1007/s00222-014-0543-y | pages=925–977| arxiv=1302.0760 | s2cid=253743595 }}
- {{cite journal | title=The Kähler-Ricci flow and K-polystability | journal=American Journal of Mathematics | publisher=Project Muse | volume=132 | issue=4 | year=2010 | issn=1080-6377 | doi=10.1353/ajm.0.0128 | pages=1077–1090 | ref={{sfnref | Project Muse | 2010}}| last1=Székelyhidi |first1=Gábor | s2cid=16079530 }}
- {{cite journal | last=Székelyhidi | first=Gábor | title=Greatest lower bounds on the Ricci curvature of Fano manifolds | journal=Compositio Mathematica | publisher=Wiley | volume=147 | issue=1 | date=17 August 2010 | issn=0010-437X | doi=10.1112/s0010437x10004938 | pages=319–331| s2cid=17256163 | arxiv=0903.5504 }}
- {{cite journal | last1=Székelyhidi | first1=Gábor | last2=Tosatti | first2=Valentino | title=Regularity of weak solutions of a complex Monge–Ampère equation | journal=Analysis & PDE | publisher=Mathematical Sciences Publishers | volume=4 | issue=3 | date=28 December 2011 | issn=1948-206X | doi=10.2140/apde.2011.4.369 | pages=369–378| s2cid=54743527 | arxiv=0912.1808 }}
- {{cite journal | last=Székelyhidi | first=Gábor | title=Extremal metrics and K-stability | journal=Bulletin of the London Mathematical Society | publisher=Wiley | volume=39 | issue=1 | date=15 December 2006 | issn=0024-6093 | doi=10.1112/blms/bdl015 | pages=76–84| arxiv=math/0410401 | s2cid=9812137 }}
- [http://www3.nd.edu/~gszekely/notes.pdf An introduction to extremal Kaehler metrics] (pdf)
References
External links
- [http://www3.nd.edu/~gszekely/ Homepage]
- {{cite web|title=Gabor Szekelyhidi, The Partial C0 Estimate Along the Continuity Method|website=YouTube|date=17 August 2014|url=https://www.youtube.com/watch?v=pCrwRdxrApU}}
- {{cite web|title=ICM2014 VidoeSeries IL5.11: Gábor Székelyhidi on Aug19Tue|website=YouTube|date=19 August 2014|url=https://www.youtube.com/watch?v=dXO6MUEPBIk}}
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Category:20th-century Hungarian mathematicians
Category:21st-century Hungarian mathematicians
Category:Differential geometers
Category:University of Notre Dame faculty
Category:Alumni of Trinity College, Cambridge