Valentino Tosatti

Geometry and Topology · 2001–2017

A researcher in the Science corpus: 25 papers; trusts 94 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 349 citations into it; #198 of 7,422 by trust here, #129 by citations
• Applied Mathematics — 304 citations into it; #206 of 7,620 by trust here, #164 by citations
• Mathematical Physics — 55 citations into it; #3,320 of 8,562 by trust here, #2,682 by citations
• Astronomy and Astrophysics — 51 citations into it
• Nuclear and High Energy Physics — 23 citations into it; #2,511 of 6,161 by trust here, #5,401 by citations
• Statistical and Nonlinear Physics — 10 citations into it
• Algebra and Number Theory — 7 citations into it; #2,510 of 2,864 by trust here, #2,392 by citations
• Computational Theory and Mathematics — 5 citations into it

Whom Valentino Tosatti trusts overall

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

1. B. Weinkove
2. M. Gill
3. G. Tian
4. Bo Guan
5. Jian Song
6. Duong H. Phong
7. J. Demailly
8. Zhou Zhang
9. Qun Li
10. Albert Chau

Who trusts Valentino Tosatti overall

1. Xiaokui Yang
2. B. Weinkove
3. G'abor Sz'ekelyhidi
4. Duong H. Phong
5. Jianchun Chu
6. M. Gill
7. Kefeng Liu
8. Yuguang Zhang
9. Mark Gross
10. Quanting Zhao

Papers from Valentino Tosatti's perspective

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

1. The Space of Kähler Metrics
2. Scalar Curvature and Stability of Toric Varieties
3. On the lower bound of the Mabuchi energy and its application
4. Vanishing theorems and string backgrounds
5. The calabi-yau equation on almost-kähler four-manifolds
6. Geometry of Kähler metrics and foliations by holomorphic discs
7. Rotationally symmetric shrinking and ex - panding gradient Kahler - Ricci solitons
8. On the Kähler-Ricci Flow on Projective Manifolds of General Type
9. Extremal Kähler metrics
10. Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds

Their papers

• C1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays (2017) — 60 citations
• The Monge–Ampère equation for non-integrable almost complex structures (2016) — 72 citations
• Gauduchon metrics with prescribed volume form (2015) — 185 citations
• KAWA lecture notes on the Kähler-Ricci flow (2015) — 66 citations
• An extension of a theorem of Wu-Yau (2015) — 96 citations
• Non-K\"ahler Calabi-Yau manifolds (2014) — 67 citations
• Non-Kähler Calabi-Yau manifolds (2014) — 90 citations
• Remarks on the collapsing of torus fibered Calabi–Yau manifolds (2014) — 53 citations
• The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits (2014) — 75 citations
• $$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations in complex and almost complex geometry (2014) — 75 citations
• Infinite time singularities of the Kähler-Ricci flow (2014) — 63 citations
• Gromov-Hausdorff collapsing of Calabi-Yau manifolds (2013) — 62 citations
• The Monge-Ampère equation for (n − 1)-plurisubharmonic functions on a compact Kähler manifold (2013) — 139 citations
• Hermitian metrics, (n-1,n-1) forms and Monge–Ampère equations (2013) — 102 citations
• Kähler currents and null loci (2013) — 111 citations
• The Chern–Ricci flow on complex surfaces (2012) — 74 citations
• On the evolution of a Hermitian metric by its Chern-Ricci form (2011) — 150 citations
• Collapsing of abelian fibred Calabi-Yau manifolds (2011) — 74 citations
• Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds (2009) — 113 citations
• The complex Monge-Ampère equation on compact Hermitian manifolds (2009) — 233 citations