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Mathematics

D-Index
30
Citations
3049
World Ranking
3559
National Ranking
82

Overview

Mark D. Gould is a researcher affiliated with the University of Queensland in Australia. Their work spans various domains within mathematics and physics, contributing to multiple subfields and topics.

The primary fields of study for Gould include:

  • Mathematics
  • Physics and Astronomy

Within these broader areas, Gould's research touches on several subfields:

  • Geometry and Topology
  • Applied Mathematics
  • Astronomy and Astrophysics
  • Algebra and Number Theory
  • Statistical and Nonlinear Physics

Their main research topics cover:

  • Geometric Analysis and Curvature Flows
  • Advanced Differential Geometry Research
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Geometry and complex manifolds
  • Hermeneutics and Narrative Identity

Gould's publication record includes the following recent papers:

  • The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups, 2024, Communications in Analysis and Geometry
  • Black Lives Matter: Structure and Symptom, 2021, Academia Letters
  • Preparation With JN0-230 PDF Dumps 2022 Lead You To Accomplishment, 2022, Zenodo (CERN European Organization for Nuclear Research)
  • Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras, 2022, Journal of Physics A Mathematical and Theoretical
  • Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras, 2021, arXiv (Cornell University)

Gould has frequently published in the following venues:

  • arXiv (Cornell University)
  • Communications in Analysis and Geometry
  • Journal of Physics A Mathematical and Theoretical
  • Academia Letters
  • Zenodo (CERN European Organization for Nuclear Research)

They have collaborated repeatedly with several researchers, including:

  • Artem Pulemotov
  • Romina M. Arroyo
  • Phillip S. Isaac
  • Jason L. Werry
  • Jan T. Rasmussen

Best Publications

  • Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose–Einstein condensates and metallic nanograins

    Jon Links;Huan-Qiang Zhou;Ross H McKenzie;Mark D Gould

  • New Supersymmetric and Exactly Solvable Model of Correlated Electrons.

    Unknown

  • Quantum Supergroups and Solutions of the {Yang-Baxter} Equation

    A. J. Bracken;M. D. Gould;R. B. Zhang

  • A q-analogue of Bargmann space and its scalar product

    A J Bracken;D S McAnally;R B Zhang;M D Gould

  • From Representations of the Braid Group to Solutions of the Yang-Baxter Equation

    R.B. Zhang;M.D. Gould;A.J. Bracken

  • Superconducting correlations in metallic nanoparticles: Exact solution of the BCS model by the algebraic Bethe ansatz

    Huan-Qiang Zhou;Jon Links;Ross H. McKenzie;Mark D. Gould

  • Quantum Group Invariants and Link Polynomials

    R. B. Zhang;M. D. Gould;A. J. Bracken

  • On the construction of trigonometric solutions of the Yang-Baxter equation

    Gustav W. Delius;Mark D. Gould;Yao-Zhong Zhang

  • INTEGRABLE ELECTRON MODEL WITH CORRELATED HOPPING AND QUANTUM SUPERSYMMETRY

    Mark D. Gould;Katrina E. Hibberd;Jon R. Links;Yao-Zhong Zhang

  • Exact solution of the XXZ Gaudin model with generic open boundaries

    Wen-Li Yang;Wen-Li Yang;Yao-Zhong Zhang;Mark D. Gould

  • Generalized Gel'fand invariants and characteristic identities for quantum groups

    M. D. Gould;R. B. Zhang;A. J. Bracken

  • Two variable link polynomials from quantum supergroups

    J. R. Links;M. D. Gould

  • Solutions of the Quantum Yang-Baxter Equation with Extra Nonadditive Parameters

    A J Bracken;M D Gould;Yao-Zhong Zhang;G W Delius

  • Characteristic Identities for Semi-Simple Lie-Algebras

    M. D. Gould

  • Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters

    Anthony J. Bracken;Gustav W. Delius;Mark D. Gould;Yao-Zhong Zhang

  • Spin‐dependent unitary group approach. I. General formalism

    M. D. Gould;J. Paldus

  • Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

    Huan-Qiang Zhou;Xiang-Yu Ge;Jon Links;Mark D. Gould

  • Solutions of the graded classical Yang-Baxter equation and integrable models

    R B Zhang;M D Gould;A J Bracken

  • Classification of all star irreps of gl(m‖n)

    M. D. Gould;R. B. Zhang

  • Unitary group approach to the many‐electron problem. III. Matrix elements of spin‐dependent Hamiltonians

    M. D. Gould;G. S. Chandler

  • Solution of the graded Yang-Baxter equation associated with the vector representation of Uq(osp(M/2n))

    R.B. Zhang;A.J. Bracken;M.D. Gould

  • On the matrix elements of the U(n) generators

    M. D. Gould

  • Quantum double construction for graded Hopf algebras

    M.D. Gould;R.B. Zhang;A.J. Bracken

  • Unitary group approach to the many‐electron problem. I. Matrix element evaluation and shift operators

    M. D. Gould;G. S. Chandler

Frequent Co-Authors

Ruibin Zhang
Ruibin Zhang University of Sydney
Ross H. McKenzie
Ross H. McKenzie University of Queensland
Josef Paldus
Josef Paldus University of Waterloo
Dylan Jayatilaka
Dylan Jayatilaka University of Western Australia

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