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
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.
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.
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.
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.
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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)
Prescribing Gaussian curvature on S2
Sun-yung Alice Chang;Paul C. Yang.
Acta Mathematica (1987)
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)
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)
A continuous version of duality of $H^1$ with BMO on the bidisc
Sun-Yung A. Chang;Robert Fefferman.
Annals of Mathematics (1980)
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)
Fractional Laplacian in conformal geometry
Sun-Yung Alice Chang;María del Mar González.
Advances in Mathematics (2011)
Extremal metrics of zeta function determinants on 4-manifolds
Sun-Yung Alice Chang;Paul C. Yang.
Annals of Mathematics (1995)
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)
A perturbation result in prescribing scalar curvature on Sn
Sun Yung A. Chang;Paul C. Yang.
Duke Mathematical Journal (1991)
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