World's Best Scientists 2026 revealed!
Sun-Yung Alice Chang

Sun-Yung Alice Chang

D-Index & Metrics

Mathematics

D-Index
37
Citations
7754
World Ranking
2450
National Ranking
1027

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to geometric analysis, nonlinear partial differential equations, and harmonic analysis.
  • 2009 - Member of the National Academy of Sciences
  • 2008 - Fellow of the American Academy of Arts and Sciences

Overview

Sun-Yung Alice Chang is affiliated with Princeton University in the United States. Their research mainly focuses on mathematics, with a specialization in applied mathematics and geometry and topology.

The main topics covered in their work include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Black Holes and Theoretical Physics
  • Nonlinear Partial Differential Equations
  • Advanced Differential Geometry Research
  • Mathematical functions and polynomials
  • Mathematical Inequalities and Applications

Frequent publication venues for their work feature:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • Advances in Mathematics
  • Revista Matemática Iberoamericana
  • Advanced Nonlinear Studies

Selected recent papers by Sun-Yung Alice Chang include:

  • Improved Moser-Trudinger-Onofri Inequality under Constraints, 2020, Communications on Pure and Applied Mathematics
  • Compactness of conformally compact Einstein 4-manifolds II, 2020, Advances in Mathematics
  • A Sharp Inequality on the Exponentiation of Functions on the Sphere, 2021, Communications on Pure and Applied Mathematics
  • Scattering on singular Yamabe spaces, 2022, Revista Matemática Iberoamericana
  • Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds, 2024, Advanced Nonlinear Studies

Collaborations have frequently involved co-authors such as Yuxin Ge, Paul Yang, Jie Qing, Changfeng Gui, and Stephen E. McKeown.

The scientist's professional recognition includes several awards and honors:

  • Member of the National Academy of Sciences, 2009
  • Fellow of the American Academy of Arts and Sciences, 2008
  • Fellow of the American Mathematical Society, 2016, for contributions to geometric analysis, nonlinear partial differential equations, and harmonic analysis

Best Publications

  • Prescribing Gaussian curvature on S2

    Sun-yung Alice Chang;Paul C. Yang

  • Conformal deformation of metrics on $S^2$

    Sun Yung A. Chang;Sun Yung A. Chang;Paul C. Yang;Paul C. Yang

  • Some weighted norm inequalities concerning the Schrödinger operators.

    S. Y. A. Chang;S. Y. A. Chang;S. Y. A. Chang;J. M. Wilson;J. M. Wilson;J. M. Wilson;T. H. Wolff;T. H. Wolff;T. H. Wolff

  • Fractional Laplacian in conformal geometry

    Sun-Yung Alice Chang;María del Mar González

  • A continuous version of duality of $H^1$ with BMO on the bidisc

    Sun-Yung A. Chang;Robert Fefferman

  • Some recent developments in Fourier analysis and $H^p$-theory on product domains

    Sun Yung A. Chang;Sun Yung A. Chang;Robert Fefferman

  • An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature

    Sun Yung A. Chang;Matthew J. Gursky;Paul C. Yang

  • Extremal metrics of zeta function determinants on 4-manifolds

    Sun-Yung Alice Chang;Paul C. Yang

  • The scalar curvature equation on 2- and 3-spheres

    Sun-Yung Alice Chang;Matthew J. Gursky;Paul Chien-Ping Yang

  • A perturbation result in prescribing scalar curvature on Sn

    Sun Yung A. Chang;Paul C. Yang

  • On uniqueness of solutions of $n$-th order differential equations in conformal geometry

    Sun-Yung A. Chang;Paul C. Yang

  • THE CALDERON-ZYGMUND DECOMPOSITION ON PRODUCT DOMAINS

    Sun-Yung A. Chang;Robert Fefferman

  • An a priori estimate for a fully nonlinear equation on four-manifolds

    Sun-Yung Alice Chang;Matthew J. Gursky;Paul Chien-Ping Yang

  • Estimates and extremals for zeta function determinants on four-manifolds

    Thomas P. Branson;Sun-Yung Alice Chang;Paul Chien-Ping Yang

  • A conformally invariant sphere theorem in four dimensions

    Sun-Yung A. Chang;Matthew J. Gursky;Paul C. Yang

  • Products of Toeplitz operators

    Sheldon Axler;Sun Yung A. Chang;Donald Sarason

  • Carleson Measure on the Bi-Disc

    Sun-Yung A. Chang

  • A regularity theory of biharmonic maps

    Sun-Yung Alice Chang;Sun-Yung Alice Chang;Lihe Wang;Paul Chien-Ping Yang

  • The inequality of Moser and Trudinger and applications to conformal geometry

    Sun-Yung Alice Chang;Paul Chien-Ping Yang

  • On Fractional GJMS Operators

    Jeffrey S. Case;Sun Yung Alice Chang

Frequent Co-Authors

Paul Yang
Paul Yang Princeton University
Andrea Malchiodi
Andrea Malchiodi Scuola Normale Superiore di Pisa
Xu-Jia Wang
Xu-Jia Wang Westlake University
Antonio Ambrosetti
Antonio Ambrosetti International School for Advanced Studies
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Thomas P. Branson
Thomas P. Branson University of Iowa
Peter G. Casazza
Peter G. Casazza University of Missouri
Wenxiong Chen
Wenxiong Chen Yeshiva University
Stephen Semmes
Stephen Semmes Rice University

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