Emeritus Professor Mark Gould
Emeritus Professor

Mark Gould

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Availability

Emeritus Professor Mark Gould is:
Available for supervision
Media expert

Fields of research

Mathematical physics Pure mathematics

Qualifications

  • Bachelor (Honours) of Science (Advanced), University of Adelaide
  • Doctor of Philosophy, University of Adelaide

Search Professor Mark Gould’s works on UQ eSpace

185 works between 1978 and 2025
All (185) Journal Article (176) Book Chapter (2) Conference Publication (6) Edited Outputs (1)

181 - 185 of 185 works

1981

Journal Article

General U(N) Raising and Lowering Operators

Gould, MD (1981). General U(N) Raising and Lowering Operators. Journal of Mathematical Physics, 22 (2), 267-270. doi: 10.1063/1.524898

General U(N) Raising and Lowering Operators

1981

Journal Article

Wigner Coefficients for a Semisimple Lie Group and the Matrix-Elements of the O(N) Generators

Gould, MD (1981). Wigner Coefficients for a Semisimple Lie Group and the Matrix-Elements of the O(N) Generators. Journal of Mathematical Physics, 22 (11), 2376-2388. doi: 10.1063/1.524820

Wigner Coefficients for a Semisimple Lie Group and the Matrix-Elements of the O(N) Generators

1981

Journal Article

On the Matrix-Elements of the U(N) Generators

Gould, MD (1981). On the Matrix-Elements of the U(N) Generators. Journal of Mathematical Physics, 22 (1), 15-22. doi: 10.1063/1.524749

On the Matrix-Elements of the U(N) Generators

1980

Journal Article

Infinitesimal Approach to Semisimple Lie-Groups and Raising and Lowering Operators of O(N) and U(N)

Gould, MD (1980). Infinitesimal Approach to Semisimple Lie-Groups and Raising and Lowering Operators of O(N) and U(N). Journal of Mathematical Physics, 21 (3), 444-453. doi: 10.1063/1.524441

Infinitesimal Approach to Semisimple Lie-Groups and Raising and Lowering Operators of O(N) and U(N)

1978

Journal Article

Applications of Characteristic Identity for Gl(N)

Gould, MD (1978). Applications of Characteristic Identity for Gl(N). Annales De L Institut Henri Poincare Section a Physique Theorique, 29 (1), 51-83.

Applications of Characteristic Identity for Gl(N)

Past funding

  • 2022 - 2025
    Lie superalgebra representations: a geometric approach
    ARC Discovery Projects
    Open grant
  • 2018 - 2022
    The Ricci curvature of homogeneous spaces
    ARC Discovery Projects
    Open grant
  • 2016 - 2020
    Indecomposable representation theory
    ARC Discovery Projects
    Open grant
  • 2014 - 2016
    Constructive representation theory of classical and quantum Lie superalgebras
    ARC Discovery Projects
    Open grant
  • 2011 - 2013
    Mathematical models for disordered critical point theories
    ARC Discovery Projects
    Open grant
  • 2006 - 2008
    Quantum Spectra (ARC Discovery Project administered by The University of Melbourne)
    University of Melbourne
    Open grant
  • 2006 - 2008
    The Mathematical Analysis of Ultracold Quantum Gases (ARC Discovery Grant administered by Australian National University)
    Australian National University
    Open grant
  • 2004
    Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
    ARC Seed Funding for Research Networks
    Open grant
  • 2003 - 2005
    Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
    ARC Discovery Projects
    Open grant
  • 2002 - 2004
    Quantized Algebraic (Super) Structures and Applications
    ARC Linkage International
    Open grant
  • 2002 - 2004
    Algebraic Structures in Mathematical Physics and Their Applications
    ARC Discovery Projects
    Open grant
  • 2002
    Quantum correlations in degenerate Bose gases
    University of Queensland Research Development Grants Scheme
    Open grant
  • 2000 - 2002
    A new projection based approach to chemical valence concepts (ARC Large grant administered by The University of Western Australia)
    University of Western Australia
    Open grant
  • 2000 - 2001
    Quantized Algebraic Structures and New Supersymmetric Integrable Models
    ARC Australian Research Council (Large grants)
    Open grant
  • 1999
    Algebraic structures and the quantum many electron correlation problem
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Representations and Applications of Quantum Affine Superalgebras
    ARC Australian Research Council (Large grants)
    Open grant
  • 1997
    Quantum groups and supersymmetry
    UQ External Support Enabling Grant
    Open grant
  • 1994 - 1996
    Representations and applications of classical and quantised Lie superalgebras
    ARC Australian Research Council (Large grants)
    Open grant
  • 1992 - 1994
    Quantum Groups
    ARC Australian Research Council (Large grants)
    Open grant
  • 1990 - 1992
    Infinite dimensional algebras (ARC Large Grant administered by University of Tasmania)
    University of Tasmania
    Open grant
  • 1989 - 1991
    Simple Lie superalgebras
    ARC Australian Research Council (Large grants)
    Open grant

Availability

Emeritus Professor Mark Gould is:
Available for supervision

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Supervision history

Current supervision

  • Doctor Philosophy

    State labelling problems related to representations of Lie algebras, with applications

    Associate Advisor

    Other advisors: Dr Phillip Isaac

Completed supervision

Enquiries

Contact Emeritus Professor Mark Gould directly for media enquiries about:

  • Algebra
  • Chemistry - quantum
  • Mathematical physics
  • Physics - mathematical
  • Quantum chemistry

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