Gábor Székelyhidi

Notre Dame Professor of Mathematics

Ph.D., Imperial College London, 2006
BA, Cambridge University, UK, 2002

Office: 277 Hurley Hall
Phone: (574) 631-7412
Fax: (574) 631-6579

For additional information see Gábor Székelyhidi’s Personal page.

Research Interests

My research interests are in geometric analysis and complex geometry.  More specifically I am interested in questions related to finding canonical metrics on Kähler manifolds, and the relation to alebro-gemetric stability conditions.  This involves problems of nonlinear partial differential equations related to the real and complex Monge-Ampère equations and also algebraic problems coming from geometric invariant theory.

Selected Publications

  • On blowing up extremal Kähler manifolds, arXiv:1010.5130
  • (with O. Munteanu) On convergence of the Kähler-Ricci flow, arXiv:0904.3505
  • (with J. Stoppa) Relative K-stability of extermal metrics, arXiv:0912.4095, to appear in J. Eur. Math. Soc.
  • (with V. Tosatti) Regularity of weak solutions of a complex Monge-Ampère equation, arXiv:0912:1808, to appear in Analysis & PDE
  • Greatest lower bounds on the Ricci curvature of Fano manifolds, arXiv:0903.5504, to appear in Compositio Math.

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