World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
8061
World Ranking
2590
National Ranking
1069

Gerald A. Goldin 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 Gerald A. Goldin 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: 139 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Gerald A. Goldin 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 Gerald A. Goldin 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: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Gerald A. Goldin is affiliated with Rutgers, The State University of New Jersey in the United States. Their research primarily falls within the broad discipline of Physics and Astronomy, with significant contributions to the subfields of Atomic and Molecular Physics, and Optics, Artificial Intelligence, Statistical and Nonlinear Physics, Philosophy, and Education.

The scientist's work centers around several key topics including Quantum Mechanics and Applications, Quantum and Electron Transport Phenomena, Quantum Information and Cryptography, Quantum Many-Body Systems, Noncommutative and Quantum Gravity Theories, Motivation and Self-Concept in Sports, and Education, Achievement, and Giftedness.

Recent publications by Gerald A. Goldin include:

  • The prediction of anyons: Its history and wider implications (2023) in SciPost Physics Proceedings
  • A universal kinematical group for quantum mechanics (2025) in Journal of Mathematical Physics
  • The Prediction of Anyons: Its History and Wider Implications (2022) in arXiv (Cornell University)
  • An inspiring career in mathematics education research: A tribute to Carolyn A. Maher (2023) in The Journal of Mathematical Behavior
  • A Universal Kinematical Group for Quantum Mechanics (2024) in arXiv (Cornell University)

Common publication venues for their research include:

  • arXiv (Cornell University)
  • SciPost Physics Proceedings
  • Journal of Mathematical Physics
  • The Journal of Mathematical Behavior
  • International Journal of Geometric Methods in Modern Physics

Gerald A. Goldin has collaborated frequently with several coauthors, including:

  • Piotr Kielanowski
  • Alina Dobrogowska
  • Tomasz Goliński
  • David H. Sharp
  • Tobias Kuna

The scientist has also contributed to book publications, notably with Springer Nature, including a work titled Geometric Methods in Physics XXXIX published in 2023.

Best Publications

  • A Scientific Perspective on Structured, Task-Based Interviews in Mathematics Education Research

    Gerald A. Goldin

  • AFFECT AND META-AFFECT IN MATHEMATICAL PROBLEM SOLVING: A REPRESENTATIONAL PERSPECTIVE

    Valerie A. DeBellis;Gerald A. Goldin

  • Affect, Meta-Affect, and Mathematical Belief Structures

    Gerald A. Goldin

  • Representational systems, learning, and problem solving in mathematics

    Gerald A. Goldin

  • A Joint Perspective on the Idea of Representation in Learning and Doing Mathematics

    Gerald A. Goldin;James J. Kaput

  • Representations of a local current algebra in nonsimply connected space and the Aharonov–Bohm effect

    G. A. Goldin;R. Menikoff;D. H. Sharp

  • Affective Pathways and Representation in Mathematical Problem Solving.

    Gerald A. Goldin

  • On a general nonlinear Schrödinger equation admitting diffusion currents

    H.-D. Doebner;Gerald A. Goldin

  • Particle statistics from induced representations of a local current group

    G. A. Goldin;R. Menikoff;D. H. Sharp

  • Chapter 4: Observing Mathematical Problem Solving through Task-Based Interviews

    Gerald A. Goldin

  • Chapter 3: Epistemology, Constructivism, and Discovery Learning in Mathematics

    Gerald A. Goldin

  • Beliefs and engagement structures: Behind the affective dimension of mathematical learning

    Gerald A. Goldin;Yakov M. Epstein;Roberta Y. Schorr;Lisa B. Warner

  • Beliefs – No Longer a Hidden Variable in Mathematical Teaching and Learning Processes

    Gerald Goldin;Bettina Rösken;Günter Törner

  • Introducing nonlinear gauge transformations in a family of nonlinear Schrödinger equations

    H.-D. Doebner;Gerald A. Goldin

  • Attitudes, Beliefs, Motivation and Identity in Mathematics Education: An Overview of the Field and Future Directions

    Markku Sakari Hannula;Pietro Di Martino;Marilena Pantziara;Qiaoping Zhang

  • Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations

    H D Doebner;G A Goldin

  • Comments on "General theory for quantum statistics in two dimensions"

    Gerald A. Goldin;Ralph Menikoff;David H. Sharp

  • Diffeomorphism Groups, Gauge Groups, and Quantum Theory

    Gerald A. Goldin;R. Menikoff;D. H. Sharp

  • Representations and the psychology of mathematics education

    Gerald A. Goldin;Claude Janvier

  • Nonrelativistic Current Algebras as Unitary Representations of Groups

    Gerald A. Goldin

Frequent Co-Authors

Shahn Majid
Shahn Majid Queen Mary University of London
Richard J. Szabo
Richard J. Szabo Heriot-Watt University
Giorgio A. Ascoli
Giorgio A. Ascoli George Mason University
Jean-Pierre Gazeau
Jean-Pierre Gazeau Université Paris Cité

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