World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 39 2193 1937 925 766 114 6688

Paul Yang publications per year

The chart shows the history of publications by Paul Yang between 1976 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Paul Yang published across 50 years, from 1976 to 2025, averaging 2.5 papers a year. Output peaked at 6 publications in 2002. 8 of the 126 publications appeared in the last two years.

No. of publications
2 4 6
Bar chart. Horizontal axis: year, 1976 to 2025. Vertical axis: number of publications, 0 to 6. Peak 6 publications in 2002. 1976: 1 publication 1977: 2 publications 1978: 0 publications 1979: 0 publications 1980: 3 publications 1981: 1 publication 1982: 2 publications 1983: 0 publications 1984: 1 publication 1985: 1 publication 1986: 1 publication 1987: 1 publication 1988: 1 publication 1989: 2 publications 1990: 1 publication 1991: 2 publications 1992: 1 publication 1993: 4 publications 1994: 0 publications 1995: 1 publication 1996: 2 publications 1997: 2 publications 1998: 1 publication 1999: 3 publications 2000: 2 publications 2001: 1 publication 2002: 6 publications 2003: 5 publications 2004: 6 publications 2005: 3 publications 2006: 2 publications 2007: 2 publications 2008: 3 publications 2009: 6 publications 2010: 3 publications 2011: 3 publications 2012: 3 publications 2013: 1 publication 2014: 2 publications 2015: 5 publications 2016: 6 publications 2017: 3 publications 2018: 6 publications 2019: 1 publication 2020: 5 publications 2021: 5 publications 2022: 1 publication 2023: 5 publications 2024: 3 publications 2025: 5 publications
1976 2025

126 publications in total across all disciplines

View publications per year as a table
Paul Yang: publications per year, 1976 to 2025
Year Publications
1976 1
1977 2
1978 0
1979 0
1980 3
1981 1
1982 2
1983 0
1984 1
1985 1
1986 1
1987 1
1988 1
1989 2
1990 1
1991 2
1992 1
1993 4
1994 0
1995 1
1996 2
1997 2
1998 1
1999 3
2000 2
2001 1
2002 6
2003 5
2004 6
2005 3
2006 2
2007 2
2008 3
2009 6
2010 3
2011 3
2012 3
2013 1
2014 2
2015 5
2016 6
2017 3
2018 6
2019 1
2020 5
2021 5
2022 1
2023 5
2024 3
2025 5
Total 126
Download as CSV

Paul Yang publications per year - data summary

  • Paul Yang, a Mathematics scholar from Princeton University, has 126 publications recorded across 50 years, from 1976 to 2025.
  • The oldest publication on record dates to 1976 and the most recent to 2025.
  • The most productive years are 2002, 2004, 2009, 2016 and others, with 6 publications each.
  • The least productive years with any output are 1976, 1981, 1984, 1985 and others, with 1 publication each.
  • 4 of the 50 years in the span carry no publications at all (1978, 1979, 1983 and 1994).
  • The rate of publication averages 2.5 papers per year over the whole span, or 2.7 per year counting only the 46 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 19 publications, 15% of the career total.
  • Split into equal eras - 1976-1992: 20 publications (1.2 per year); 1993-2009: 49 publications (2.9 per year); 2010-2025: 57 publications (3.6 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 112–116 publications, is where this scientist sits. 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: 83 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99 114
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Paul Yang publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Paul Yang, a Mathematics scholar from Princeton University, records 114 publications - the 18th percentile of the discipline.
  • 18% of ranked Mathematics scientists score the same or lower than Paul Yang, and about 82% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Paul Yang ranks below the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 39 D-Index, is where this scientist sits. 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: 138 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150 39
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Paul Yang D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Paul Yang, a Mathematics scholar from Princeton University, records 39 D-Index - the 41st percentile of the discipline.
  • 41% of ranked Mathematics scientists score the same or lower than Paul Yang, and about 59% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Paul Yang ranks below the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Antonio Ambrosetti
Antonio Ambrosetti International School for Advanced Studies
Ermanno Lanconelli
Ermanno Lanconelli University of Bologna
Xu-Jia Wang
Xu-Jia Wang Westlake University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Thomas P. Branson
Thomas P. Branson University of Iowa
Carlos A. Berenstein
Carlos A. Berenstein University of Maryland, College Park
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring complementary online degrees can open up diverse career opportunities. Many professionals consider advancing their skills with programs like the cheapest 1 year online MBA programs, which offer a flexible and cost-effective way to gain business acumen without interrupting their careers.

Additionally, those with prior academic credits may benefit from online MBA accepting transfer credits programs, allowing a smoother transition and saving both time and money in their educational journey.

Another growing field closely related to Mathematics is data science. Earning a data analytics master's degree equips graduates with the analytical tools needed for high-demand roles in technology, finance, and healthcare industries.

For those looking for less competitive options, exploring easy MBA programs to get into may provide accessible pathways to leadership roles, complementing a strong mathematical background with essential management skills.

Best Scientists Citing Paul Yang

Trending Scientists

Recently Published Articles