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D-Index & Metrics

Mathematics

D-Index
40
Citations
4788
World Ranking
2104
National Ranking
888

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions in geometric analysis and complex geometry.
  • 2012 - Fellow of Alfred P. Sloan Foundation

Overview

Valentino Tosatti is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research is primarily situated in the field of Mathematics, with a particular focus on Geometry and Topology, Applied Mathematics, and Mathematical Physics. The scientist's work also touches on Astronomy and Astrophysics as well as Nuclear and High Energy Physics.

The main thematic areas of Tosatti's research include:

  • Geometry and complex manifolds
  • Geometric Analysis and Curvature Flows
  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Holomorphic and Operator Theory
  • Advanced Differential Geometry Research

Tosatti has coauthored with several frequent collaborators, reflecting extensive research partnerships. Notable coauthors include Simion Filip, Yang Li, Hans-Joachim Hein, Kurt Friedrichs, and Fritz John.

The scientist's recent papers demonstrate ongoing contributions to fields related to geometric structures and complex geometry. Selected recent publications are:

  • "Collapsing hyperkähler manifolds," 2020, published in Annales Scientifiques de l'École Normale Supérieure
  • "Canonial currents and heights for K3 surfaces," 2023, published in Cambridge Journal of Mathematics

Other notable papers connected to Tosatti's frequent collaborators include:

  • "Higher-order estimates for collapsing Calabi-Yau metrics," 2020, Cambridge Journal of Mathematics
  • "Smooth asymptotics for collapsing Calabi-Yau metrics," 2024, Communications on Pure and Applied Mathematics
  • "Leafwise flat forms on Inoue-Bombieri surfaces," 2021, arXiv (Cornell University)

Tosatti's publication record is distributed across various academic venues. The most frequent publication platforms include:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • Cambridge Journal of Mathematics
  • Annales Scientifiques de l'École Normale Supérieure
  • Journal of Functional Analysis

Recognition of Tosatti's contributions is documented by awards such as Fellow of the American Mathematical Society in 2019 for contributions in geometric analysis and complex geometry, and an earlier fellowship from the Alfred P. Sloan Foundation awarded in 2012.

Best Publications

  • Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf

    Luciano Pietronero;Erio Tosatti;Erio Tosatti;V. Tosatti;Alessandro Vespignani

  • The complex Monge-Amp`ere equation on compact Hermitian manifolds

    Valentino Tosatti;Ben Weinkove

  • The complex Monge-Ampère equation on compact Hermitian manifolds

    Valentino Tosatti;Ben Weinkove

  • Estimates for the Complex Monge-Ampère Equation on Hermitian and Balanced Manifolds

    Valentino Tosatti;Ben Weinkove

  • The Monge-Ampère equation for (n − 1)-plurisubharmonic functions on a compact Kähler manifold

    Valentino Tosatti;Ben Weinkove

  • Estimates for the complex Monge-Amp`ere equation on Hermitian and balanced manifolds

    Valentino Tosatti;Ben Weinkove

  • On the evolution of a Hermitian metric by its Chern-Ricci form

    Valentino Tosatti;Ben Weinkove

  • Taming symplectic forms and the Calabi-Yau equation

    Valentino Tosatti;Ben Weinkove;Shing Tung Yau

  • A general Schwarz lemma for almost-Hermitian manifolds

    Valentino Tosatti

  • Collapsing of abelian fibered Calabi–Yau manifolds

    Mark Gross;Valentino Tosatti;Yuguang Zhang

  • Adiabatic limits of Ricci-flat Kähler metrics

    Valentino Tosatti;Valentino Tosatti

  • Limits of Calabi–Yau metrics when the Kähler class degenerates

    Valentino Tosatti

  • Gauduchon metrics with prescribed volume form

    Gábor Székelyhidi;Valentino Tosatti;Ben Weinkove

  • C^{2,lpha } estimates for nonlinear elliptic equations in complex and almost complex geometry

    Valentino Tosatti;Yu Wang;Ben Weinkove;Xiaokui Yang

  • Kähler currents and null loci

    Tristan C. Collins;Valentino Tosatti

  • Non-K"ahler Calabi-Yau manifolds

    Valentino Tosatti

  • An extension of a theorem of Wu–Yau

    Valentino Tosatti;Xiaokui Yang

  • Hermitian metrics, (n-1, n-1) forms and Monge-Amp`ere equations

    Valentino Tosatti;Ben Weinkove

  • Gauduchon metrics with prescribed volume form

    Gábor Székelyhidi;Valentino Tosatti;Ben Weinkove

  • The Monge–Ampère equation for non-integrable almost complex structures

    Jianchun Chu;Valentino Tosatti;Ben Weinkove

  • Non-Kähler Calabi-Yau manifolds

    Valentino Tosatti

  • On the evolution of a Hermitian metric by its Chern-Ricci form

    Valentino Tosatti;Ben Weinkove

Frequent Co-Authors

Ben Weinkove
Ben Weinkove Northwestern University
Mark Gross
Mark Gross University of Cambridge
Erio Tosatti
Erio Tosatti International School for Advanced Studies
Alessandro Vespignani
Alessandro Vespignani Northeastern University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Edward Frenkel
Edward Frenkel University of California, Berkeley

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