World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
47
Citations
8122
World Ranking
1283
National Ranking
572

Research.com Recognitions

  • 2002 - Member of the National Academy of Sciences
  • 1998 - Fellow of the American Academy of Arts and Sciences
  • 1985 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1971 - Fellow of Alfred P. Sloan Foundation
  • Foreign Member, Chinese Academy of Sciences
  • Foreign Member, Chinese Academy of Sciences
  • Foreign Member, Chinese Academy of Sciences

Overview

Yum-Tong Siu is affiliated with Harvard University in the United States and has made contributions primarily in the field of Mathematics. Their research spans several subfields including Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Mathematical Physics.

Their work focuses on topics such as:

  • Geometry and complex manifolds
  • Geometric Analysis and Curvature Flows
  • Algebraic Geometry and Number Theory
  • Holomorphic and Operator Theory
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics

Yum-Tong Siu has published papers in a number of academic venues. Frequent publication platforms include:

  • Notices of the American Mathematical Society
  • arXiv (Cornell University)
  • Journal of Geometric Analysis
  • Pure and Applied Mathematics Quarterly

Notable recent papers include:

  • "Masatake Kuranishi (1924-2021)," 2022, Notices of the American Mathematical Society
  • "The Role of the Gradient Term of the Bochner-Kodaira Formula in Coherent Sheaf Extension," 2021, arXiv (Cornell University)
  • "The Role of the Gradient Term of the Bochner-Kodaira Formula in Coherent Sheaf Extension," 2022, Journal of Geometric Analysis
  • "Effective Kohn Algorithm for Special Domain Defined by Functions Depending on All Variables," 2023, arXiv (Cornell University)

Frequent collaborators include:

  • Takeo Ohsawa
  • Duong H Phong
  • Robert L. Bryant
  • Albert Chau
  • Elisha Falbel

The scientist has been recognized by several awards and honors throughout their career:

  • Member of the National Academy of Sciences, 2002
  • Fellow of the American Academy of Arts and Sciences, 1998
  • Fellow of John Simon Guggenheim Memorial Foundation, 1985
  • Fellow of Alfred P. Sloan Foundation, 1971
  • Foreign Member, Chinese Academy of Sciences

Best Publications

  • Analycity of Sets Associated to Lelong Numbers and the Extension of Closed Positive Currents.

    Yum-Tong Siu

  • The complex-analyticity of harmonic maps and the strong rigidity of compact Kähler manifolds

    Yum-Tong Siu

  • Invariance of plurigenera

    Yum-Tong Siu

  • Compact Kähler Manifolds of Positive Bisectional Curvature.

    Yum-Tong Siu;Shing-Tung Yau

  • Every Stein subvariety admits a Stein neighborhood

    Yum-Tong Siu

  • Lectures on Hermitian-Einstein metrics for stable bundles and Kähler-Einstein metrics

    Yum-Tong Siu

  • Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds.

    Unknown

  • Extension of Twisted Pluricanonical Sections with Plurisubharmonic Weight and Invariance of Semipositively Twisted Plurigenera for Manifolds Not Necessarily of General Type

    Yum-Tong Siu

  • The Existence of Kahler-Einstein Metrics on Manifolds with Positive Anticanonical Line Bundle and a Suitable Finite Symmetry Group

    Yum-Tong Siu

  • Every K3 surface is Kähler

    Y. T. Siu

  • Techniques of extension of analytic objects

    Yum-Tong Siu

  • STABLE SHEAVES AND EINSTEIN-HERMITIAN METRICS

    Shigetoshi Bando;Yum-Tong Siu

  • Effective freeness and point separation for adjoint bundles

    Urban Angehrn;Yum-Tong Siu

  • Uniform estimates for the\(ar \partial \)-equation on domains with piecewise smooth strictly pseudoconvex boundaries

    R. Michael Range;Yum-Tong Siu

  • Gap-sheaves and extension of coherent analytic subsheaves

    Yum-Tong Siu;Günther Trautmann

  • A compact Kähler surface of negative curvature not covered by the ball

    George Daniel Mostow;Yum-Tong Siu

  • Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane

    Yum-Tong Siu;Sai-kee Yeung

  • Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees

    Yum-Tong Siu;Sai-Kee Yeung

  • The Poincaré-Lelong equation on complete Kähler manifolds

    Ngaiming Mok;Yum-Tong Siu;Shing-Tung Yau

  • Pseudoconvexity and the problem of Levi

    Yum-Tong Siu

  • Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension > 3

    Yum-Tong Siu

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University

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