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.
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.
- 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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