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Mathematics

D-Index
36
Citations
8061
World Ranking
2589
National Ranking
1068

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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