World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6688
World Ranking
2192
National Ranking
924

Research.com Recognitions

  • 2015 - Fellow, National Academy of Inventors
  • 2013 - Fellow of the American Mathematical Society

Overview

Paul Yang is affiliated with Princeton University in the United States and specializes in mathematics with an emphasis on applied mathematics and geometry and topology. Their research spans a broad spectrum of mathematical fields and topics, particularly focusing on geometric analysis and curvature flows, and the study of complex manifolds.

The main fields of study associated with Paul Yang include:

  • Mathematics

Within this broad discipline, they have contributed extensively to subfields such as:

  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics
  • Mathematical Physics

The scientist's research topics further highlight specific areas of mathematical inquiry, including:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Holomorphic and Operator Theory
  • Advanced Differential Geometry Research
  • Nonlinear Partial Differential Equations
  • Analytic and geometric function theory
  • Black Holes and Theoretical Physics

Paul Yang has authored multiple papers published in diverse mathematical journals and archives. Recent publications include:

  • "Scattering on singular Yamabe spaces," 2022, Revista Matemática Iberoamericana
  • "The Lichnerowicz-Obata theorem for the Kohn Laplacian in three dimensions," 2021, Advances in Mathematics
  • "The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions," 2020, arXiv (Cornell University)
  • "Scattering on singular Yamabe spaces," 2021, arXiv (Cornell University)
  • "Quasiconformal flows on non-conformally flat spheres," 2022, Advances in Mathematics

The frequent publication venues for their work are:

  • arXiv (Cornell University)
  • Revista Matemática Iberoamericana
  • Advances in Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Analysis Mathematica

Paul Yang's collaborative research includes frequent co-authors such as:

  • Jeffrey S. Case
  • Sun-Yung A. Chang
  • Jih-Hsin Cheng
  • Andrea Malchiodi
  • Stephen E. McKeown

Aside from journal publications, Paul Yang has contributed to academic books, including a publication with Springer Nature titled "Geometric Analysis" released in 2020.

In recognition of their contributions to the field, Paul Yang has received the following honors:

  • Fellow of the American Mathematical Society, 2013
  • Fellow, National Academy of Inventors, 2015

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

  • 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

  • Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds

    Paul C. Yang;Shing-Tung Yau

  • 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

  • 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

  • Minimal surfaces in pseudohermitian geometry

    Jih-Hsin Cheng;Jenn Fang Hwang;Andrea Malchiodi;Paul C. Yang

  • A conformally invariant sphere theorem in four dimensions

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

  • A regularity theory of biharmonic maps

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

  • EXISTENCE AND UNIQUENESS FOR P-AREA MINIMIZERS IN THE HEISENBERG GROUP

    Jih-Hsin Cheng;Jenn-Fang Hwang;Paul Yang

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

    Sun-Yung Alice Chang;Paul Chien-Ping Yang

  • Local boundary regularity of holomorphic mappings

    L. Nirenberg;S. Webster;P. Yang

  • Compactification of a class of conformally flat 4-manifold

    Sun-Yung A. Chang;Jie Qing;Paul C. Yang

  • A Paneitz-type operator for CR pluriharmonic functions

    Jeffrey S. Case;Paul Yang

  • REGULARITY OF C 1 SMOOTH SURFACES WITH PRESCRIBED p-MEAN CURVATURE IN THE HEISENBERG GROUP

    Jih-Hsin Cheng;Jenn Fang Hwang;Paul Yang

  • On the renormalized volumes for conformally compact Einstein manifolds

    P. Yang;S. Yu. A. Chang;J. Qing

  • Isospectral conformal metrics on 3-manifolds

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

Frequent Co-Authors

Sun-Yung Alice Chang
Sun-Yung Alice Chang 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
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences
Thomas P. Branson
Thomas P. Branson University of Iowa
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Carlos A. Berenstein
Carlos A. Berenstein University of Maryland, College Park

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