Robert J. Berman

Geometry and Topology · 2002–2016

A researcher in the Science corpus: 18 papers; trusts 85 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 370 citations into it; #78 of 7,422 by trust here, #68 by citations
• Applied Mathematics — 322 citations into it; #66 of 7,620 by trust here, #73 by citations
• Mathematical Physics — 108 citations into it; #3,093 of 8,562 by trust here, #2,387 by citations
• Astronomy and Astrophysics — 54 citations into it; #4,012 of 10,964 by trust here, #9,224 by citations
• Algebra and Number Theory — 18 citations into it
• Computational Theory and Mathematics — 15 citations into it
• Nuclear and High Energy Physics — 9 citations into it
• Statistical and Nonlinear Physics — 9 citations into it

Whom Robert J. Berman trusts overall

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

1. Simon Donaldson
2. S. Boucksom
3. Xiuxiong Chen
4. G. Tian
5. Y. Odaka
6. J. Demailly
7. B. Berndtsson
8. R. Lazarsfeld
9. Vincent Guedj
10. G'abor Sz'ekelyhidi

Who trusts Robert J. Berman overall

1. Chi Li
2. Tam'as Darvas
3. Yanir A. Rubinstein
4. S. Boucksom
5. Jiyuan Han
6. B. Berndtsson
7. Thibaut Delcroix
8. Xiuxiong Chen
9. Y. Odaka
10. Y. Ameur

Papers from Robert J. Berman's perspective

Ordered by how strongly the researchers Robert J. Berman trusts endorse each paper. Same corpus, a different order for every researcher.

1. Scalar Curvature and Stability of Toric Varieties
2. Kähler–Einstein metrics on Fano manifolds
3. Positivity in algebraic geometry
4. Kahler-Ricci solitons on toric manifolds with positive first Chern class
5. On the lower bound of the Mabuchi energy and its application
6. The Space of Kähler Metrics
7. Regularization of closed positive currents and Intersection Theory
8. A study of the Hilbert-Mumford criterion for the stability of projective varieties
9. Valuations and plurisubharmonic singularities
10. Lower bounds on the Calabi functional

Their papers

• Regularity of weak minimizers of the K-energy and applications to properness and K-stability (2016) — 116 citations
• A variational approach to the Yau–Tian–Donaldson conjecture (2015) — 247 citations
• Convexity of the K-energy on the space of Kahler metrics and uniqueness of extremal metrics (2014) — 167 citations
• Complex optimal transport and the pluripotential theory of K\"ahler-Ricci solitons (2014) — 87 citations
• Convexity of the K-energy on the space of K\"ahler metrics (2014) — 122 citations
• Kähler–Einstein Metrics on Stable Varieties and log Canonical Pairs (2013) — 93 citations
• K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics (2012) — 271 citations
• Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties (2012) — 135 citations
• Kähler–Einstein metrics and the Kähler–Ricci flow on log Fano varieties (2011) — 225 citations
• A thermodynamical formalism for Monge–Ampère equations, Moser–Trudinger inequalities and Kähler–Einstein metrics (2010) — 179 citations
• A variational approach to complex Monge-Ampère equations (2009) — 284 citations
• Regularity of Plurisubharmonic Upper Envelopes in Big Cohomology Classes (2009) — 117 citations
• Fekete points and convergence towards equilibrium measures on complex manifolds (2009) — 154 citations
• A direct approach to Bergman kernel asymptotics for positive line bundles (2008) — 149 citations
• Growth of balls of holomorphic sections and energy at equilibrium (2008) — 226 citations
• Bergman kernels and equilibrium measures for line bundles over projective manifolds (2007) — 122 citations
• Bergman kernels for weighted polynomials and weighted equilibrium measures of C^n (2007) — 78 citations
• Bergman kernels and local holomorphic Morse inequalities (2002) — 52 citations