World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
6681
World Ranking
3004
National Ranking
1213

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.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 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.

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.

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.

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

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