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D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 54 806 690 391 313 113 29172

Michael G. Crandall publications per year

The chart shows the history of publications by Michael G. Crandall between 1967 and 2023, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Michael G. Crandall published across 57 years, from 1967 to 2023, averaging 2 papers a year. Output peaked at 8 publications in 1977. 1 of the 115 publications appeared in the last two years.

No. of publications
2 4 6 8
Bar chart. Horizontal axis: year, 1967 to 2023. Vertical axis: number of publications, 0 to 8. Peak 8 publications in 1977. 1967: 1 publication 1968: 2 publications 1969: 2 publications 1970: 4 publications 1971: 5 publications 1972: 3 publications 1973: 2 publications 1974: 0 publications 1975: 4 publications 1976: 2 publications 1977: 8 publications 1978: 3 publications 1979: 3 publications 1980: 5 publications 1981: 2 publications 1982: 7 publications 1983: 1 publication 1984: 4 publications 1985: 4 publications 1986: 6 publications 1987: 4 publications 1988: 2 publications 1989: 4 publications 1990: 4 publications 1991: 3 publications 1992: 2 publications 1993: 0 publications 1994: 2 publications 1995: 0 publications 1996: 2 publications 1997: 2 publications 1998: 1 publication 1999: 0 publications 2000: 1 publication 2001: 1 publication 2002: 1 publication 2003: 3 publications 2004: 2 publications 2005: 0 publications 2006: 0 publications 2007: 2 publications 2008: 3 publications 2009: 0 publications 2010: 3 publications 2011: 1 publication 2012: 1 publication 2013: 0 publications 2014: 1 publication 2015: 0 publications 2016: 0 publications 2017: 0 publications 2018: 0 publications 2019: 1 publication 2020: 0 publications 2021: 0 publications 2022: 0 publications 2023: 1 publication
1967 2023

115 publications in total across all disciplines

View publications per year as a table
Michael G. Crandall: publications per year, 1967 to 2023
Year Publications
1967 1
1968 2
1969 2
1970 4
1971 5
1972 3
1973 2
1974 0
1975 4
1976 2
1977 8
1978 3
1979 3
1980 5
1981 2
1982 7
1983 1
1984 4
1985 4
1986 6
1987 4
1988 2
1989 4
1990 4
1991 3
1992 2
1993 0
1994 2
1995 0
1996 2
1997 2
1998 1
1999 0
2000 1
2001 1
2002 1
2003 3
2004 2
2005 0
2006 0
2007 2
2008 3
2009 0
2010 3
2011 1
2012 1
2013 0
2014 1
2015 0
2016 0
2017 0
2018 0
2019 1
2020 0
2021 0
2022 0
2023 1
Total 115
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Michael G. Crandall 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 Michael G. Crandall 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: 113 publications — 17th percentile

17% 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 99 113
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
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Michael G. Crandall 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 Michael G. Crandall 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, 54 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: 54 D-Index — 78th percentile

78% 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 54
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
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Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2000 - Fellow of the American Academy of Arts and Sciences
  • 1999 - Steele Prize for Seminal Contribution to Research

Overview

Michael G. Crandall is affiliated with the University of California, Santa Barbara, in the United States. Their academic career is distinguished by recognition through several notable awards.

Among the honors received are the Steele Prize for Seminal Contribution to Research, awarded in 1999, the Fellowship of the American Academy of Arts and Sciences awarded in 2000, and designation as a Fellow of the American Mathematical Society in 2013.

These awards indicate a sustained contribution to their field over multiple decades. Their work spans areas within mathematics, although specific fields of study or subfields, recent papers, and coauthors were not detailed in the available data.

Best Publications

  • User’s guide to viscosity solutions of second order partial differential equations

    Michael G. Crandall;Hitoshi Ishii;Pierre Louis Lions

  • Viscosity solutions of Hamilton-Jacobi equations

    Michael G. Crandall;Pierre-Louis Lions

  • Bifurcation from simple eigenvalues

    Michael G. Crandall;Paul H. Rabinowitz

  • Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations.

    M. G. Crandall;L. C. Evans;P. L. Lions

  • GENERATION OF SEMI-GROUPS OF NONLINEAR TRANSFORMATIONS ON GENERAL BANACH SPACES,

    M. G. Crandall;T. M. Liggett

  • Bifurcation, perturbation of simple eigenvalues, itand linearized stability

    Michael G. Crandall;Michael G. Crandall;Paul H. Rabinowitz;Paul H. Rabinowitz

  • Two approximations of solutions of Hamilton-Jacobi equations

    Michael G Crandall;P L Lions

  • On a dirichlet problem with a singular nonlinearity

    M. G. Crandall;P. H. Rabinowitz;L. Tartar

  • Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems

    Michael G. Crandall;Paul H. Rabinowitz

  • Monotone difference approximations for scalar conservation laws

    Michael G. Crandall;Andrew Majda

  • Stabilization of solutions of a degenerate nonlinear diffusion problem

    Donald Aronson;Michael G. Crandall;L.A. Peletier

  • A TOUR OF THE THEORY OF ABSOLUTELY MINIMIZING FUNCTIONS

    Gunnar Aronsson;Michael G. Crandall;Petri Juutinen

  • On viscosity solutions of fully nonlinear equations with measurable ingredients

    L. Caffarelli;M. G. Crandall;M. Kocan;A. Święch

  • Nonlinear Evolution Equations in Banach Spaces.

    M. G. Crandall;M. G. Crandall;A. Pazy;A. Pazy

  • Some relations between nonexpansive and order preserving mappings

    Michael G. Crandall;Luc Tartar

  • Semi-groups of nonlinear contractions and dissipative sets☆

    Michael G Crandall;Amnon Pazy

  • Optimal Lipschitz extensions and the infinity laplacian

    M.G. Crandall;L.C. Evans;R.F. Gariepy

  • Perturbations of nonlinear maximal monotone sets in banach space

    Haim Brezis;M. G. Crandall;A. Pazy

  • On Some Existence Theorems for Semi-Linear Elliptic Equations.

    Herbert Amann;Michael G Crandall

  • Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions

    Michael G Crandall;Pierre-Louis Lions

Frequent Co-Authors

Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Hitoshi Ishii
Hitoshi Ishii Waseda University
Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Paolo Marcellini
Paolo Marcellini University of Florence
Nicola Fusco
Nicola Fusco University of Naples Federico II
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)

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