G'abor Sz'ekelyhidi

Geometry and Topology · 2004–2018

A researcher in the Science corpus: 19 papers; trusts 103 researchers and is trusted by 52 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 280 citations into it; #98 of 7,422 by trust here, #184 by citations
• Applied Mathematics — 250 citations into it; #103 of 7,620 by trust here, #214 by citations
• Mathematical Physics — 73 citations into it; #336 of 8,562 by trust here, #639 by citations
• Astronomy and Astrophysics — 39 citations into it
• Nuclear and High Energy Physics — 17 citations into it; #2,877 of 6,161 by trust here, #4,811 by citations
• Computational Theory and Mathematics — 8 citations into it
• Algebra and Number Theory — 6 citations into it

Whom G'abor Sz'ekelyhidi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Simon Donaldson
2. J. Stoppa
3. B. Weinkove
4. Xiuxiong Chen
5. G. Tian
6. J. Ross
7. Duong H. Phong
8. Valentino Tosatti
9. C. Arezzo
10. Richard P. Thomas

Who trusts G'abor Sz'ekelyhidi overall

1. Robert J. Berman
2. Chi Li
3. Duong H. Phong
4. S. Boucksom
5. Jian Song
6. Abdellah Lahdili
7. Xiuxiong Chen
8. Tam'as Darvas
9. Adam Jacob
10. V. Datar

Papers from G'abor Sz'ekelyhidi's perspective

Ordered by how strongly the researchers G'abor Sz'ekelyhidi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Scalar Curvature and Stability of Toric Varieties
2. Extremal Kähler metrics
3. The Space of Kähler Metrics
4. On the lower bound of the Mabuchi energy and its application
5. Geometry of Kähler metrics and foliations by holomorphic discs
6. A study of the Hilbert-Mumford criterion for the stability of projective varieties
7. Lower bounds on the Calabi functional
8. Kahler-Ricci solitons on toric manifolds with positive first Chern class
9. K-stability of constant scalar curvature Kähler manifolds
10. Hamiltonian 2-forms in Kähler geometry, III extremal metrics and stability

Their papers

• Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below (2018) — 49 citations
• The Kähler–Ricci flow and optimal degenerations (2016) — 55 citations
• Gauduchon metrics with prescribed volume form (2015) — 185 citations
• Kähler–Einstein metrics along the smooth continuity method (2015) — 132 citations
• Sasaki–Einstein metrics and K–stability (2015) — 100 citations
• Fully non-linear elliptic equations on compact Hermitian manifolds (2015) — 206 citations
• Extremal K\"ahler metrics (2014) — 87 citations
• Convergence of the $J$-flow on toric manifolds (2014) — 91 citations
• An Introduction to Extremal Kahler Metrics (2014) — 172 citations
• The partial $C^0$-estimate along the continuity method (2013) — 62 citations
• The J-flow and stability (2013) — 86 citations
• Filtrations and test-configurations (2011) — 97 citations
• On blowing up extremal Kähler manifolds (2010) — 59 citations
• Relative K-stability of extremal metrics (2009) — 55 citations
• Greatest lower bounds on the Ricci curvature of Fano manifolds (2009) — 104 citations
• The Kähler-Ricci flow and K-polystability (2008) — 105 citations
• Extremal metrics and K-stability (PhD thesis) (2006) — 50 citations
• Harmonic analysis on discrete Abelian groups (2004) — 52 citations
• Extremal metrics and K‐stability (2004) — 199 citations