World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

Paul Yang publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Paul Yang sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 114 publications — 18th percentile

18% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Paul Yang D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Paul Yang sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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