D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 34 Citations 6,695 78 World Ranking 1994 National Ranking 853

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Pure mathematics

His primary areas of investigation include Algebra, Mathematical physics, Mathematical analysis, Inequality and Norm. Sun-Yung Alice Chang conducts interdisciplinary study in the fields of Algebra and Duality through his works. His work deals with themes such as Conformal map, Geometry, Riemann curvature tensor and Schouten tensor, which intersect with Mathematical physics.

Particularly relevant to Conformal geometry is his body of work in Mathematical analysis. His Inequality research includes elements of Operator norm and Schrödinger's cat. His Pure mathematics research is multidisciplinary, incorporating perspectives in Yamabe problem and Laplace operator.

His most cited work include:

  • Conformal deformation of metrics on $S^2$ (285 citations)
  • Conformal deformation of metrics on $S^2$ (285 citations)
  • Fractional Laplacian in conformal geometry (283 citations)

What are the main themes of his work throughout his whole career to date?

Sun-Yung Alice Chang mainly investigates Mathematical analysis, Pure mathematics, Conformal map, Conformal geometry and Mathematical physics. His research integrates issues of Boundary and Scalar curvature in his study of Mathematical analysis. His Pure mathematics research is multidisciplinary, incorporating elements of Type and Product.

His Conformal map study combines topics in areas such as Riemannian manifold, Embedding, Einstein and Diffeomorphism. The Conformal geometry study combines topics in areas such as Differential geometry, Ricci curvature and Yamabe problem. In general Mathematical physics, his work in Covariant transformation is often linked to Deformation linking many areas of study.

He most often published in these fields:

  • Mathematical analysis (47.31%)
  • Pure mathematics (37.63%)
  • Conformal map (29.03%)

What were the highlights of his more recent work (between 2014-2020)?

  • Pure mathematics (37.63%)
  • Conformal map (29.03%)
  • Einstein (7.53%)

In recent papers he was focusing on the following fields of study:

Sun-Yung Alice Chang spends much of his time researching Pure mathematics, Conformal map, Einstein, Compact space and Curvature. He interconnects Zero, Inequality, Sequence and Metric in the investigation of issues within Pure mathematics. His Conformal map research includes themes of Development and Boundary.

In his study, which falls under the umbrella issue of Development, Algebra is strongly linked to Conformal geometry. Sun-Yung Alice Chang has researched Einstein in several fields, including Infinity, Topology, Uniqueness and Dimension. His Curvature research focuses on Invariant and how it relates to Combinatorics.

Between 2014 and 2020, his most popular works were:

  • On Fractional GJMS Operators (74 citations)
  • On a class of non-local operators in conformal geometry (21 citations)
  • Sobolev trace inequalities of order four (11 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Pure mathematics
  • Geometry

Sun-Yung Alice Chang focuses on Pure mathematics, Sobolev inequality, Mathematical analysis, Boundary and Metric. His Pure mathematics study incorporates themes from Infinity and Ball. The study incorporates disciplines such as Limit, Applied mathematics and Fractional power in addition to Sobolev inequality.

His Mathematical analysis study is mostly concerned with Baskakov operator, Spectral theorem, Constant coefficients, Microlocal analysis and Operator theory. His studies in Boundary integrate themes in fields like Einstein, Conformal map, Compact space, Topology and Scalar curvature. His Metric research integrates issues from Zero, Measure, Manifold, Interpretation and Laplace operator.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Conformal deformation of metrics on $S^2$

Sun Yung A. Chang;Sun Yung A. Chang;Paul C. Yang;Paul C. Yang.
Journal of Differential Geometry (1988)

470 Citations

Prescribing Gaussian curvature on S2

Sun-yung Alice Chang;Paul C. Yang.
Acta Mathematica (1987)

458 Citations

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.
Commentarii Mathematici Helvetici (1985)

395 Citations

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

Sun Yung A. Chang;Sun Yung A. Chang;Robert Fefferman.
Bulletin of the American Mathematical Society (1985)

387 Citations

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

Sun-Yung A. Chang;Robert Fefferman.
Annals of Mathematics (1980)

377 Citations

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.
Annals of Mathematics (2002)

323 Citations

Fractional Laplacian in conformal geometry

Sun-Yung Alice Chang;María del Mar González.
Advances in Mathematics (2011)

322 Citations

Extremal metrics of zeta function determinants on 4-manifolds

Sun-Yung Alice Chang;Paul C. Yang.
Annals of Mathematics (1995)

316 Citations

The scalar curvature equation on 2- and 3-spheres

Sun-Yung Alice Chang;Matthew J. Gursky;Paul Chien-Ping Yang.
Calculus of Variations and Partial Differential Equations (1993)

315 Citations

A perturbation result in prescribing scalar curvature on Sn

Sun Yung A. Chang;Paul C. Yang.
Duke Mathematical Journal (1991)

260 Citations

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