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D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 50 1068 499 185 12307

Joel Smoller publications per year

The chart shows the history of publications by Joel Smoller between 1963 and 2024, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Joel Smoller published across 62 years, from 1963 to 2024, averaging 3.1 papers a year. Output peaked at 23 publications in 1983. 2 of the 195 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1963 to 2024. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 1983. 1963: 1 publication 1964: 0 publications 1965: 3 publications 1966: 0 publications 1967: 3 publications 1968: 1 publication 1969: 2 publications 1970: 4 publications 1971: 1 publication 1972: 1 publication 1973: 3 publications 1974: 3 publications 1975: 1 publication 1976: 2 publications 1977: 3 publications 1978: 3 publications 1979: 0 publications 1980: 5 publications 1981: 1 publication 1982: 3 publications 1983: 23 publications 1984: 4 publications 1985: 5 publications 1986: 6 publications 1987: 2 publications 1988: 3 publications 1989: 4 publications 1990: 5 publications 1991: 2 publications 1992: 4 publications 1993: 5 publications 1994: 7 publications 1995: 4 publications 1996: 1 publication 1997: 4 publications 1998: 3 publications 1999: 8 publications 2000: 8 publications 2001: 6 publications 2002: 3 publications 2003: 3 publications 2004: 3 publications 2005: 2 publications 2006: 6 publications 2007: 4 publications 2008: 4 publications 2009: 5 publications 2010: 2 publications 2011: 2 publications 2012: 4 publications 2013: 1 publication 2014: 2 publications 2015: 4 publications 2016: 2 publications 2017: 2 publications 2018: 0 publications 2019: 0 publications 2020: 0 publications 2021: 0 publications 2022: 0 publications 2023: 1 publication 2024: 1 publication
1963 2024

195 publications in total across all disciplines

View publications per year as a table
Joel Smoller: publications per year, 1963 to 2024
Year Publications
1963 1
1964 0
1965 3
1966 0
1967 3
1968 1
1969 2
1970 4
1971 1
1972 1
1973 3
1974 3
1975 1
1976 2
1977 3
1978 3
1979 0
1980 5
1981 1
1982 3
1983 23
1984 4
1985 5
1986 6
1987 2
1988 3
1989 4
1990 5
1991 2
1992 4
1993 5
1994 7
1995 4
1996 1
1997 4
1998 3
1999 8
2000 8
2001 6
2002 3
2003 3
2004 3
2005 2
2006 6
2007 4
2008 4
2009 5
2010 2
2011 2
2012 4
2013 1
2014 2
2015 4
2016 2
2017 2
2018 0
2019 0
2020 0
2021 0
2022 0
2023 1
2024 1
Total 195
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Joel Smoller publications per year - data summary

  • Joel Smoller, a Mathematics scholar from University of Michigan–Ann Arbor, has 195 publications recorded across 62 years, from 1963 to 2024.
  • The oldest publication on record dates to 1963 and the most recent to 2024.
  • The most productive year is 1983, with 23 publications.
  • The least productive years with any output are 1963, 1968, 1971, 1972 and others, with 1 publication each.
  • 8 of the 62 years in the span carry no publications at all (1964, 1966, 1979, 2018 and others).
  • The rate of publication averages 3.1 papers per year over the whole span, or 3.6 per year counting only the 54 years with at least one publication.
  • The last 5 years on the chart (2020-2024) hold 2 publications, 1% of the career total.
  • Split into equal eras - 1963-1983: 63 publications (3.0 per year); 1984-2004: 90 publications (4.3 per year); 2005-2024: 42 publications (2.1 per year).
  • Comparing the opening and closing eras, the overall trend of publication is declining.

Joel Smoller 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 Joel Smoller 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, 182–186 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: 185 publications — 56th percentile

56% 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 78 185
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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Joel Smoller 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.
  • Joel Smoller, a Mathematics scholar from University of Michigan–Ann Arbor, records 185 publications - the 56th percentile of the discipline.
  • 56% of ranked Mathematics scientists score the same or lower than Joel Smoller, and about 44% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Joel Smoller ranks above 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).

Joel Smoller 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 Joel Smoller 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, 50 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: 50 D-Index — 71st percentile

71% 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 50
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
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Joel Smoller 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.
  • Joel Smoller, a Mathematics scholar from University of Michigan–Ann Arbor, records 50 D-Index - the 71st percentile of the discipline.
  • 71% of ranked Mathematics scientists score the same or lower than Joel Smoller, and about 29% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Joel Smoller 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
  • 1979 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Joel Smoller was affiliated with the University of Michigan-Ann Arbor in the United States. Their research contributions spanned multiple fields and subfields in mathematics, physics, and engineering.

The scientist's main fields of study included:

  • Mathematics
  • Physics and Astronomy
  • Engineering

Their work further specialized into the following subfields:

  • Applied Mathematics
  • Astronomy and Astrophysics
  • Computational Mechanics

Joel Smoller focused on several main research topics, including:

  • Gas Dynamics and Kinetic Theory
  • Cosmology and Gravitation Theories
  • Relativity and Gravitational Theory
  • Navier-Stokes equation solutions
  • Computational Fluid Dynamics and Aerodynamics

The scientist regularly collaborated with other researchers, notably frequent co-authors included:

  • Christopher Alexander
  • Blake Temple

An example of their recent published work is the paper titled Shock-Wave Refinement of the Friedmann-Robertson-Walker Metric, published in 2023 in the venue arXiv (Cornell University).

The venues where Joel Smoller's work appeared consisted mainly of:

  • arXiv (Cornell University)

During their lifetime, Joel Smoller received professional recognition including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (1979)

Best Publications

  • Shock Waves and Reaction-Diffusion Equations

    Joel Smoller

  • LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS*

    Edward Conway;David Hoff;Joel Smoller

  • Global Bifurcation of Steady-State Solutions

    Joel A. Smoller;Arthur G. Wasserman

  • Global solutions of the relativistic Euler equations

    Joel A. Smoller;Blake Temple

  • Solutions in the large for some nonlinear hyperbolic conservation laws

    Takaaki Nishida;Joel A. Smoller

  • On the vacuum state for the isentropic gas dynamics equations

    T.-P Liu;J.A Smoller

  • Smooth static solutions of the Einstein/Yang-Mills equations

    Joel A. Smoller;Arthur G. Wasserman;S. T. Yau;J. B. McLeod

  • Qualitative theory of the FitzHugh-Nagumo equations

    Jeffrey Rauch;Joel A. Smoller

  • Non-Formation of Vacuum States for Compressible Navier–Stokes Equations

    David Hoff;Joel Smoller

  • Decay of Solutions of the Wave Equation in the Kerr Geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing-Tung Yau

  • Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables

    Edward Conway;Joel Smoller

  • Existence of Black Hole Solutions for the Einstein-Yang/Mills Equations

    J. A. Smoller;A. G. Wasserman;S. T. Yau

  • Global analysis of a system of predator-prey equations

    E D Conway;J A Smoller

  • Particlelike solutions of the Einstein-Dirac equations

    Felix Finster;Joel Smoller;Shing Tung Yau

  • Existence of infinitely many smooth, static, global solutions of the Einstein / Yang-Mills equations

    J. A. Smoller;A. G. Wasserman

  • Global solutions for an extended class of hyperbolic systems of conservation laws

    Joel A. Smoller;J. L. Johnson

  • Bifurcation and symmetry-breaking

    Joel A. Smoller;Arthur G. Wasserman

  • Solutions in the large for certain nonlinear parabolic systems

    David Hoff;Joel Smoller

  • Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background

    Felix Finster;Joel A. Smoller;Shing-Tung Yau

  • The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry

    Felix Finster;Niky Kamran;Joel Smoller;Shing Tung Yau

  • On the Structure of Magnetohydrodynamic Shock Waves.

    Charles C. Conley;Joel A. Smoller

  • Advances in the Theory of Shock Waves

    Tai-Ping Liu;Guy Métivier;Joel Smoller;Blake Temple

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Niky Kamran
Niky Kamran McGill University
David Hoff
David Hoff Indiana University
Tai-Ping Liu
Tai-Ping Liu Stanford University
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Kevin Zumbrun
Kevin Zumbrun Indiana University
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Guy Métivier
Guy Métivier University of Bordeaux

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