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 45 1411 1214 622 494 174 21431

Morris W. Hirsch publications per year

The chart shows the history of publications by Morris W. Hirsch between 1959 and 2020, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Morris W. Hirsch published across 62 years, from 1959 to 2020, averaging 2.9 papers a year. Output peaked at 18 publications in 2013. 5 of the 179 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1959 to 2020. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 2013. 1959: 2 publications 1960: 1 publication 1961: 3 publications 1962: 3 publications 1963: 5 publications 1964: 3 publications 1965: 3 publications 1966: 6 publications 1967: 0 publications 1968: 0 publications 1969: 1 publication 1970: 3 publications 1971: 2 publications 1972: 0 publications 1973: 1 publication 1974: 2 publications 1975: 6 publications 1976: 3 publications 1977: 9 publications 1978: 1 publication 1979: 3 publications 1980: 2 publications 1981: 3 publications 1982: 3 publications 1983: 2 publications 1984: 5 publications 1985: 3 publications 1986: 1 publication 1987: 2 publications 1988: 4 publications 1989: 3 publications 1990: 1 publication 1991: 3 publications 1992: 1 publication 1993: 4 publications 1994: 7 publications 1995: 5 publications 1996: 4 publications 1997: 2 publications 1998: 1 publication 1999: 3 publications 2000: 2 publications 2001: 2 publications 2002: 1 publication 2003: 2 publications 2004: 1 publication 2005: 3 publications 2006: 3 publications 2007: 0 publications 2008: 2 publications 2009: 7 publications 2010: 1 publication 2011: 2 publications 2012: 3 publications 2013: 18 publications 2014: 0 publications 2015: 2 publications 2016: 7 publications 2017: 1 publication 2018: 1 publication 2019: 3 publications 2020: 2 publications
1959 2020

179 publications in total across all disciplines

View publications per year as a table
Morris W. Hirsch: publications per year, 1959 to 2020
Year Publications
1959 2
1960 1
1961 3
1962 3
1963 5
1964 3
1965 3
1966 6
1967 0
1968 0
1969 1
1970 3
1971 2
1972 0
1973 1
1974 2
1975 6
1976 3
1977 9
1978 1
1979 3
1980 2
1981 3
1982 3
1983 2
1984 5
1985 3
1986 1
1987 2
1988 4
1989 3
1990 1
1991 3
1992 1
1993 4
1994 7
1995 5
1996 4
1997 2
1998 1
1999 3
2000 2
2001 2
2002 1
2003 2
2004 1
2005 3
2006 3
2007 0
2008 2
2009 7
2010 1
2011 2
2012 3
2013 18
2014 0
2015 2
2016 7
2017 1
2018 1
2019 3
2020 2
Total 179
Download as CSV

Morris W. Hirsch publications per year - data summary

  • Morris W. Hirsch, a Mathematics scholar from University of California, Berkeley, has 179 publications recorded across 62 years, from 1959 to 2020.
  • The oldest publication on record dates to 1959 and the most recent to 2020.
  • The most productive year is 2013, with 18 publications.
  • The least productive years with any output are 1960, 1969, 1973, 1978 and others, with 1 publication each.
  • 5 of the 62 years in the span carry no publications at all (1967, 1968, 1972, 2007 and others).
  • The rate of publication averages 2.9 papers per year over the whole span, or 3.1 per year counting only the 57 years with at least one publication.
  • The last 5 years on the chart (2016-2020) hold 14 publications, 8% of the career total.
  • Split into equal eras - 1959-1979: 57 publications (2.7 per year); 1980-2000: 61 publications (2.9 per year); 2001-2020: 61 publications (3.0 per year).
  • Comparing the opening and closing eras, the overall trend of publication is broadly steady.

Morris W. Hirsch 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 Morris W. Hirsch 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, 172–176 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: 174 publications — 51st percentile

51% 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 77 174
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

Morris W. Hirsch 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.
  • Morris W. Hirsch, a Mathematics scholar from University of California, Berkeley, records 174 publications - the 51st percentile of the discipline.
  • 51% of ranked Mathematics scientists score the same or lower than Morris W. Hirsch, and about 49% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Morris W. Hirsch falls inside that same range.
  • 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).

Morris W. Hirsch 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 Morris W. Hirsch 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, 45 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: 45 D-Index — 61st percentile

61% 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 45
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

Morris W. Hirsch 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.
  • Morris W. Hirsch, a Mathematics scholar from University of California, Berkeley, records 45 D-Index - the 61st percentile of the discipline.
  • 61% of ranked Mathematics scientists score the same or lower than Morris W. Hirsch, and about 39% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Morris W. Hirsch ranks above 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

  • 2013 - Fellow of the American Mathematical Society
  • 1964 - Fellow of Alfred P. Sloan Foundation

Overview

Morris W. Hirsch is affiliated with the University of California, Berkeley in the United States. Their academic work spans multiple fields, primarily focusing on mathematics and computer science. The subfields of study associated with their research include algebra and number theory, discrete mathematics and combinatorics, as well as computational theory and mathematics.

The main topics in their research encompass:

  • Advanced Topics in Algebra
  • Finite Group Theory Research
  • Matrix Theory and Algorithms

Morris W. Hirsch has published research papers in reputable venues. One of the recent papers is titled "On Eigenvectors of Nilpotent Lie Algebras of Linear Operators", published in 2021 in the European Journal of Pure and Applied Mathematics. Their work includes collaboration with notable coauthors such as Joel W. Robbin.

Publication venues where their work has appeared include:

  • European Journal of Pure and Applied Mathematics

In recognition of their contributions to the field, Morris W. Hirsch has been named a Fellow of the American Mathematical Society in 2013 and was a Fellow of the Alfred P. Sloan Foundation starting in 1964.

Best Publications

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

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

  • Differential Equations, Dynamical Systems, and Linear Algebra

    Morris W. Hirsch;Stephen Smale

  • Immersions of manifolds

    Morris W. Hirsch

  • Convergent activation dynamics in continuous time networks

    M. W. Hirsch

  • Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere

    Morris W. Hirsch

  • Stability regions of nonlinear autonomous dynamical systems

    H.-D. Chiang;M.W. Hirsch;F.F. Wu

  • Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets

    Morris W. Hirsch

  • 4. Monotone Dynamical Systems

    Morris W Hirsch;Hal Smith

  • Stable manifolds for hyperbolic sets

    Morris W. Hirsch;Charles C. Pugh

  • Stability and convergence in strongly monotone dynamical systems.

    Morris W. Hirsch

  • The dynamical systems approach to differential equations

    Morris W. Hirsch

  • Systems of differential equations which are competitive or cooperative: III. Competing species

    Morris W Hirsch

  • Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems

    Morris W. Hirsch;Hal L. Smith;Xiao-Qiang Zhao

  • Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games

    Michel Benaı̈m;Morris W Hirsch

  • Neighborhoods of hyperbolic sets

    M. Hirsch;J. Palis;C. Pugh;M. Shub

  • Affine manifolds with nilpotent holonomy

    David Fried;William Goldman;Morris W. Hirsch

  • Chapter 4 Monotone Dynamical Systems

    M.W. Hirsch;Hal Smith

  • On Algorithms for Solving f(x)=0

    Morris W. Hirsch;Stephen Smale

  • Monotone maps: a review

    M. W. Hirsch;Hal Smith

  • System of differential equations that are competitive or cooperative. IV: structural stability in three-dimensional systems

    Morris W. Hirsch

  • Systems of differential equations that are competitive or cooperative. VI: A local Cr Closing Lemma for 3-dimensional systems

    Morris W. Hirsch

Frequent Co-Authors

Steve Smale
Steve Smale City University of Hong Kong
Robert L. Devaney
Robert L. Devaney Boston University
Charles Pugh
Charles Pugh University of California, Berkeley
Michael Shub
Michael Shub City College of New York
William M. Goldman
William M. Goldman University of Maryland, College Park
Hal L. Smith
Hal L. Smith Arizona State University
Michel Benaïm
Michel Benaïm University of Neuchâtel
David Angeli
David Angeli Imperial College London
Barry Mazur
Barry Mazur Harvard University
Eduardo D. Sontag
Eduardo D. Sontag Northeastern 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

Studying Mathematics in the USA opens many doors to diverse career paths, including finance, technology, and data science. For those interested in expanding their skill set, pursuing an MBA can complement a math degree perfectly. Many students opt for one year MBA programs to accelerate their career growth without sacrificing time.

Additionally, individuals looking for more flexible options may consider MBA programs that accept transfer credits, allowing them to leverage previous coursework and reduce overall study time.

Another growing pathway is specializing in data science and analytics. Analytics masters programs are ideal for math graduates who want to dive deeper into big data, predictive modeling, and machine learning—skills highly sought after in today’s job market.

For those who prioritize ease of admission, researching the easiest MBA programs to get into can be a strategic step. These programs provide accessible routes to obtaining an advanced degree while maintaining career momentum.

Best Scientists Citing Morris W. Hirsch

Trending Scientists

Recently Published Articles