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Stephen G. Simpson

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 33 3004 2683 1213 1016 118 6681

Stephen G. Simpson publications per year

The chart shows the history of publications by Stephen G. Simpson between 1971 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Stephen G. Simpson published across 55 years, from 1971 to 2025, averaging 2.8 papers a year. Output peaked at 15 publications in 1999. 1 of the 154 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1971 to 2025. Vertical axis: number of publications, 0 to 15. Peak 15 publications in 1999. 1971: 1 publication 1972: 1 publication 1973: 2 publications 1974: 2 publications 1975: 3 publications 1976: 1 publication 1977: 1 publication 1978: 2 publications 1979: 0 publications 1980: 2 publications 1981: 0 publications 1982: 5 publications 1983: 4 publications 1984: 3 publications 1985: 7 publications 1986: 3 publications 1987: 5 publications 1988: 4 publications 1989: 1 publication 1990: 3 publications 1991: 0 publications 1992: 0 publications 1993: 3 publications 1994: 1 publication 1995: 0 publications 1996: 1 publication 1997: 0 publications 1998: 2 publications 1999: 15 publications 2000: 5 publications 2001: 1 publication 2002: 2 publications 2003: 0 publications 2004: 4 publications 2005: 5 publications 2006: 0 publications 2007: 6 publications 2008: 5 publications 2009: 14 publications 2010: 2 publications 2011: 2 publications 2012: 1 publication 2013: 5 publications 2014: 4 publications 2015: 6 publications 2016: 5 publications 2017: 5 publications 2018: 2 publications 2019: 0 publications 2020: 1 publication 2021: 6 publications 2022: 0 publications 2023: 0 publications 2024: 0 publications 2025: 1 publication
1971 2025

154 publications in total across all disciplines

View publications per year as a table
Stephen G. Simpson: publications per year, 1971 to 2025
Year Publications
1971 1
1972 1
1973 2
1974 2
1975 3
1976 1
1977 1
1978 2
1979 0
1980 2
1981 0
1982 5
1983 4
1984 3
1985 7
1986 3
1987 5
1988 4
1989 1
1990 3
1991 0
1992 0
1993 3
1994 1
1995 0
1996 1
1997 0
1998 2
1999 15
2000 5
2001 1
2002 2
2003 0
2004 4
2005 5
2006 0
2007 6
2008 5
2009 14
2010 2
2011 2
2012 1
2013 5
2014 4
2015 6
2016 5
2017 5
2018 2
2019 0
2020 1
2021 6
2022 0
2023 0
2024 0
2025 1
Total 154
Download as CSV

Stephen G. Simpson 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 Stephen G. Simpson 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, 117–121 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: 118 publications — 20th percentile

20% 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 90 118
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

Stephen G. Simpson 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 Stephen G. Simpson 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, 33 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: 33 D-Index — 17th percentile

17% 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 33
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
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 1980 - Fellow of Alfred P. Sloan Foundation

Overview

Stephen G. Simpson is affiliated with Pennsylvania State University in the United States. Their research spans the fields of Computer Science and Mathematics, with a focus on Computational Theory and Mathematics.

Their scholarly work includes contributions to subfields such as Geometry and Topology, Statistics and Probability, Mathematical Physics, and Discrete Mathematics and Combinatorics. The main topics addressed by their research are:

  • Computability, Logic, AI Algorithms
  • Semigroups and Automata Theory
  • Advanced Topology and Set Theory
  • Benford's Law and Fraud Detection
  • Mathematical and Theoretical Analysis
  • Limits and Structures in Graph Theory
  • Geometric and Algebraic Topology

Stephen G. Simpson has published in the following venues:

  • arXiv (Cornell University)
  • University of Thessaly Institutional Repository (University of Thessaly)

Selected recent papers include:

  • Reverse mathematics, young diagrams, and the ascending chain condition, 2023, University of Thessaly Institutional Repository (University of Thessaly)
  • Very weak fragments of weak Kőnig's lemma, 2021, arXiv (Cornell University)
  • Pseudojump inversion in special r. b. Π⁰₁ classes, 2021, arXiv (Cornell University)
  • Turing Degrees of Hyperjumps, 2021, arXiv (Cornell University)

Frequent co-authors collaborating with Stephen G. Simpson include:

  • Hayden Jananthan
  • Kostas Hatzikiriakou
  • Keita Yokoyama

In 1980, Stephen G. Simpson was recognized as a Fellow of the Alfred P. Sloan Foundation.

Best Publications

  • Subsystems of Second Order Arithmetic

    Stephen G. Simpson

  • Partial Realizations of Hilbert's Program

    Stephen G. Simpson

  • Countable algebra and set existence axioms

    Harvey M. Friedman;Stephen G. Simpson;Rick L. Smith

  • A Dual Form of Ramsey's Theorem

    Timothy J Carlson;Stephen G Simpson

  • Nonprovability of Certain Combinatorial Properties of Finite Trees

    Stephen G. Simpson

  • Which Set Existence Axioms are Needed to Prove the Cauchy/Peano Theorem for Ordinary Differential Equations?

    Stephen G. Simpson

  • A Finite Combinatorial Principle Which is Equivalent to the 1-Consistency of Predicative Analysis

    Harvey M. Friedman;Harvey M. Friedman;Harvey M. Friedman;Kenneth McAloon;Kenneth McAloon;Kenneth McAloon;Stephen G. Simpson;Stephen G. Simpson;Stephen G. Simpson

  • Ordinal numbers and the Hilbert basis theorem

    Stephen G. Simpson

  • The α-finite injury method

    G.E. Sacks;S.G. Simpson

  • Measure theory and weak König's lemma

    Xiaokang Yu;Stephen G. Simpson

  • Mass Problems and Randomness

    Stephen G. Simpson

  • Factorization of polynomials and Σ10 induction

    Stephen G. Simpson;Rick L. Smith

  • Degrees of Unsolvability: A Survey of Results

    Stephen G. Simpson

  • Located sets and reverse mathematics

    Mariagnese Giusto;Stephen G. Simpson

  • An extension of the recursively enumerable Turing degrees

    Stephen G. Simpson

  • First-order theory of the degrees of recursive unsolvabilityl

    Unknown

  • Which set existence axioms are needed to prove the separable Hahn-Banach theorem?

    Douglas K. Brown;Stephen G. Simpson

  • Ein in der reinen Zahlentheorie unbeweisbarer Satz über endliche Folgen von natürlichen Zahlen

    Kurt Schütte;Stephen G. Simpson

  • Schnorr randomness and the Lebesgue differentiation theorem

    Noopur Pathak;Cristóbal Rojas;Stephen G. Simpson

  • Almost everywhere domination and superhighness

    Stephen G. Simpson

  • Logic and Combinatorics

    Stephen G. Simpson

Frequent Co-Authors

Solomon Feferman
Solomon Feferman Stanford University
Rodney G. Downey
Rodney G. Downey Victoria University of Wellington
Carl G. Jockusch
Carl G. Jockusch University of Illinois at Urbana-Champaign

External Links

Wikipedia of Stephen G. Simpson Personal website of Stephen G. Simpson Google Scholar page

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Related Online Degrees & Career Pathways

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These pathways illustrate how mathematical skills can seamlessly integrate with business and marketing acumen, expanding career prospects in analytics, finance, management, and beyond.

Best Scientists Citing Stephen G. Simpson

Ulrich Kohlenbach

Ulrich Kohlenbach

Technical University of Darmstadt

Publications: 30

Rodney G. Downey

Rodney G. Downey

Victoria University of Wellington

Publications: 25

Carl G. Jockusch

Carl G. Jockusch

University of Illinois at Urbana-Champaign

Publications: 13

Solomon Feferman

Solomon Feferman

Stanford University

Publications: 10

Saharon Shelah

Saharon Shelah

Hebrew University of Jerusalem

Publications: 9

Stevo Todorcevic

Stevo Todorcevic

University of Toronto

Publications: 7

Nachum Dershowitz

Nachum Dershowitz

Tel Aviv University

Publications: 6

H. Jerome Keisler

H. Jerome Keisler

University of Wisconsin–Madison

Publications: 5

Wolfgang Maass

Wolfgang Maass

Graz University of Technology

Publications: 5

Stephen A. Cook

Stephen A. Cook

University of Toronto

Publications: 5

Jeffrey B. Remmel

Jeffrey B. Remmel

University of California, San Diego

Publications: 5

Robin Thomas

Robin Thomas

Georgia Institute of Technology

Publications: 4

John Harrison

John Harrison

Intel (United States)

Publications: 3

Evangelos Kranakis

Evangelos Kranakis

Carleton University

Publications: 3

Jaroslav Nešetřil

Jaroslav Nešetřil

Charles University

Publications: 3

Arnon Avron

Arnon Avron

Tel Aviv University

Publications: 3

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