World's Best Scientists 2026 revealed!
Award Badge
Mathematics
China
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 79 157 128 7 7 189 46694

Steve Smale publications per year

The chart shows the history of publications by Steve Smale between 1957 and 2019, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Steve Smale published across 63 years, from 1957 to 2019, averaging 3.2 papers a year. Output peaked at 18 publications in 1998. 2 of the 203 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1957 to 2019. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 1998. 1957: 2 publications 1958: 2 publications 1959: 5 publications 1960: 2 publications 1961: 3 publications 1962: 2 publications 1963: 2 publications 1964: 2 publications 1965: 2 publications 1966: 1 publication 1967: 2 publications 1968: 0 publications 1969: 2 publications 1970: 2 publications 1971: 2 publications 1972: 1 publication 1973: 1 publication 1974: 5 publications 1975: 2 publications 1976: 7 publications 1977: 3 publications 1978: 2 publications 1979: 2 publications 1980: 9 publications 1981: 2 publications 1982: 0 publications 1983: 5 publications 1984: 2 publications 1985: 2 publications 1986: 4 publications 1987: 2 publications 1988: 2 publications 1989: 3 publications 1990: 2 publications 1991: 1 publication 1992: 1 publication 1993: 8 publications 1994: 2 publications 1995: 3 publications 1996: 4 publications 1997: 2 publications 1998: 18 publications 1999: 3 publications 2000: 3 publications 2001: 1 publication 2002: 2 publications 2003: 3 publications 2004: 2 publications 2005: 3 publications 2006: 5 publications 2007: 7 publications 2008: 3 publications 2009: 4 publications 2010: 4 publications 2011: 4 publications 2012: 4 publications 2013: 17 publications 2014: 3 publications 2015: 2 publications 2016: 1 publication 2017: 4 publications 2018: 1 publication 2019: 1 publication
1957 2019

203 publications in total across all disciplines

View publications per year as a table
Steve Smale: publications per year, 1957 to 2019
Year Publications
1957 2
1958 2
1959 5
1960 2
1961 3
1962 2
1963 2
1964 2
1965 2
1966 1
1967 2
1968 0
1969 2
1970 2
1971 2
1972 1
1973 1
1974 5
1975 2
1976 7
1977 3
1978 2
1979 2
1980 9
1981 2
1982 0
1983 5
1984 2
1985 2
1986 4
1987 2
1988 2
1989 3
1990 2
1991 1
1992 1
1993 8
1994 2
1995 3
1996 4
1997 2
1998 18
1999 3
2000 3
2001 1
2002 2
2003 3
2004 2
2005 3
2006 5
2007 7
2008 3
2009 4
2010 4
2011 4
2012 4
2013 17
2014 3
2015 2
2016 1
2017 4
2018 1
2019 1
Total 203
Download as CSV

Steve Smale 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 Steve Smale 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, 187–191 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: 189 publications — 57th percentile

57% 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
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 71 189
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

Steve Smale 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 Steve Smale 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, 79 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: 79 D-Index — 96th percentile

96% 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
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 79
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2026 - Research.com Mathematics in China Leader Award
  • 2025 - Research.com Mathematics in China Leader Award
  • 2023 - Research.com Mathematics in China Leader Award
  • 2006 - Wolf Prize in Mathematics for his groundbreaking contributions that have played a fundamental role in shaping differential topology, dynamical systems, mathematical economics, and other subjects in mathematics.
  • 1996 - US President's National Medal of Science "For his pioneering contributions to mathematics in the fields of differential topology and dynamical systems, and for applications to physics, biology, economics, and the theory of computation.", Awarded by President Clinton in a White House ceremony on July 26, 1996. Note: Dr. Smale is also Professor, City University of Hong Kong.
  • 1989 - John von Neumann Lecturer
  • 1970 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1970 - Member of the National Academy of Sciences
  • 1968 - Fellow of the American Academy of Arts and Sciences
  • 1966 - Fields Medal of International Mathematical Union (IMU) Worked in differential topology where he proved the generalized Poincaré conjecture in dimension n≥5: Every closed, n-dimensional manifold homotopy-equivalent to the n-dimensional sphere is homeomorphic to it. Introduced the method of handle-bodies to solve this and related problems.
  • 1960 - Fellow of Alfred P. Sloan Foundation

Overview

Steve Smale is affiliated with the City University of Hong Kong in China. The academic's research spans multiple areas of mathematics and interdisciplinary applications, with a particular focus on differential topology and dynamical systems.

Throughout their career, the researcher has been recognized with several notable awards. These include the Wolf Prize in Mathematics in 2006, awarded for contributions to differential topology, dynamical systems, mathematical economics, and related subjects.

In 1996, Steve Smale received the US President's National Medal of Science. The citation highlights pioneering contributions to mathematics in differential topology and dynamical systems, along with applications to physics, biology, economics, and the theory of computation. This award was presented at a White House ceremony by President Clinton on July 26, 1996.

Additional distinctions include the John von Neumann Lectureship awarded in 1989, and election as a Member of the National Academy of Sciences in 1970. The researcher is also a Fellow of the American Association for the Advancement of Science (AAAS) from 1970, a Fellow of the American Academy of Arts and Sciences since 1968, and was recognized as a Fellow of the Alfred P. Sloan Foundation in 1960.

One of the most prominent accolades in their career is the Fields Medal from the International Mathematical Union (IMU), received in 1966. The award citation notes work in differential topology, including the proof of the generalized Poincaré conjecture for dimensions n≥5, demonstrating that every closed, n-dimensional manifold homotopy-equivalent to the n-dimensional sphere is homeomorphic to it. This research introduced the method of handle-bodies to resolve this and related problems.

Best Publications

  • Differential Equations, Dynamical Systems, and an Introduction to Chaos

    Morris W. Hirsch;Stephen Smale;Robert L. Devaney

  • Differentiable dynamical systems

    Steve Smale

  • Differential Equations, Dynamical Systems, and Linear Algebra

    Morris W. Hirsch;Stephen Smale

  • On the mathematical foundations of learning

    Felipe Cucker;Steve Smale;Steve Smale

  • Emergent Behavior in Flocks

    F. Cucker;S. Smale

  • Complexity and Real Computation

    Lenore Blum;Felipe Cucker;Michael Shub;Steve Smale

  • Mathematical problems for the next century

    Steve Smale

  • On a theory of computation and complexity over the real numbers: $NP$- completeness, recursive functions and universal machines

    Lenore Blum;Mike Shub;Steve Smale

  • On the mathematics of emergence

    Felipe Cucker;Steve Smale

  • An Infinite Dimensional Version of Sard's Theorem

    S. Smale

  • Learning Theory Estimates via Integral Operators and Their Approximations

    Steve Smale;Ding-Xuan Zhou

  • The Mathematics of Learning: Dealing With Data

    T. Poggio;S. Smale

  • Topology and mechanics. I

    S. Smale

  • Generalized Poincare's Conjecture in Dimensions Greater Than Four

    Stephen Smale

  • On the Structure of Manifolds

    S. Smale

  • On Gradient Dynamical Systems

    Stephen Smale

  • Diffeomorphisms with Many Periodic Points

    Unknown

  • Newton’s Method Estimates from Data at One Point

    Steve Smale

  • A convergent process of price adjustment and global newton methods

    Steve Smale

  • DIFFEOMORPHISMS OF THE 2-SPHERE

    Unknown

  • Topology and Mechanics. II. The Planar n-Body Problem.

    S. Smale

  • The fundamental theorem of algebra and complexity theory

    Steve Smale

Frequent Co-Authors

Felipe Cucker
Felipe Cucker City University of Hong Kong
Michael Shub
Michael Shub City College of New York
Robert L. Devaney
Robert L. Devaney Boston University
Ding-Xuan Zhou
Ding-Xuan Zhou University of Sydney
Morris W. Hirsch
Morris W. Hirsch University of California, Berkeley
Hau-San Wong
Hau-San Wong City University of Hong Kong
Pierre Baldi
Pierre Baldi University of California, Irvine
Sijia Liu
Sijia Liu Michigan State University

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 interested in expanding their expertise beyond Mathematics, exploring related online degrees can open diverse career pathways. Business and finance sectors are popular choices, with flexible options such as the easiest MBA program to get into offering a manageable entry point for working professionals and recent graduates alike.

Those looking for convenience and quality may consider the easy online MBA options, which combine affordable tuition with accessible formats, helping learners balance education with other commitments.

For individuals aiming at leadership positions in academia or industry, pursuing advanced credentials like online DBA programs can provide a strong foundation in strategic management and research methodologies.

Additionally, finance professionals can upgrade their qualifications through masters in finance online programs, which highlight quantitative skills and financial theory essential for careers in investment, banking, or financial analysis.

These diverse online degree pathways complement a Mathematics background, offering practical skills and enhancing career versatility in an evolving job market.

Best Scientists Citing Steve Smale

Trending Scientists

Recently Published Articles