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

184 works between 1978 and 2025
All (184) Journal Article (175) Book Chapter (2) Conference Publication (6) Edited Outputs (1)

161 - 180 of 184 works

1987

Journal Article

Polynomial-Identities for Simple Lie-Superalgebras

Gould, MD (1987). Polynomial-Identities for Simple Lie-Superalgebras. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 28 (3), 310-327. doi: 10.1017/S0334270000005427

Polynomial-Identities for Simple Lie-Superalgebras

1986

Journal Article

Unitary-Group Approach to General System Partitioning .1. Calculation of U(N = N1 + N2) - U(N1) X U(N2) Reduced Matrix-Elements and Reduced Wigner Coefficients

Gould, MD and Paldus, J (1986). Unitary-Group Approach to General System Partitioning .1. Calculation of U(N = N1 + N2) - U(N1) X U(N2) Reduced Matrix-Elements and Reduced Wigner Coefficients. International Journal of Quantum Chemistry, 30 (3), 327-363. doi: 10.1002/qua.560300304

Unitary-Group Approach to General System Partitioning .1. Calculation of U(N = N1 + N2) - U(N1) X U(N2) Reduced Matrix-Elements and Reduced Wigner Coefficients

1986

Journal Article

Unitary-Group Approach to General System Partitioning .2. U(N) Matrix Element Evaluation in a Composite Basis

Gould, MD (1986). Unitary-Group Approach to General System Partitioning .2. U(N) Matrix Element Evaluation in a Composite Basis. International Journal of Quantum Chemistry, 30 (3), 365-389. doi: 10.1002/qua.560300305

Unitary-Group Approach to General System Partitioning .2. U(N) Matrix Element Evaluation in a Composite Basis

1986

Journal Article

Para-Fermi Algebras and the Many-Electron Correlation-Problem

Gould, MD and Paldus, J (1986). Para-Fermi Algebras and the Many-Electron Correlation-Problem. Physical Review a, 34 (2), 804-814. doi: 10.1103/PhysRevA.34.804

Para-Fermi Algebras and the Many-Electron Correlation-Problem

1986

Journal Article

Multiplicity-Free Wigner Coefficients for Semisimple Lie-Groups .1. the U(N) Pattern Calculus

Gould, MD (1986). Multiplicity-Free Wigner Coefficients for Semisimple Lie-Groups .1. the U(N) Pattern Calculus. Journal of Mathematical Physics, 27 (8), 1944-1963. doi: 10.1063/1.527013

Multiplicity-Free Wigner Coefficients for Semisimple Lie-Groups .1. the U(N) Pattern Calculus

1986

Journal Article

Multiplicity-free Wigner coefficients for semisimple Lie-groups. II. A pattern calculus for O(n)

Gould, M. D. (1986). Multiplicity-free Wigner coefficients for semisimple Lie-groups. II. A pattern calculus for O(n). Journal of Mathematical Physics, 27 (8), 1964-1979. doi: 10.1063/1.527014

Multiplicity-free Wigner coefficients for semisimple Lie-groups. II. A pattern calculus for O(n)

1986

Journal Article

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .2. Application to U(N)

Edwards, SA and Gould, MD (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .2. Application to U(N). Journal of Physics A-Mathematical and General, 19 (9), 1531-1536. doi: 10.1088/0305-4470/19/9/023

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .2. Application to U(N)

1986

Journal Article

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .1. General Formalism

Edwards, SA and Gould, MD (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .1. General Formalism. Journal of Physics A-Mathematical and General, 19 (9), 1523-1529. doi: 10.1088/0305-4470/19/9/022

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .1. General Formalism

1986

Journal Article

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .3. the Classical Limit

Gould, MD and Edwards, SA (1986). A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .3. the Classical Limit. Journal of Physics A-Mathematical and General, 19 (9), 1537-1544. doi: 10.1088/0305-4470/19/9/024

A Projection Based Approach to the Clebsch-Gordan Multiplicity Problem for Compact Semisimple Lie-Groups .3. the Classical Limit

1985

Journal Article

A Projection-Based Solution to the Sp(2N) State Labeling Problem

Gould, MD and Kalnins, EG (1985). A Projection-Based Solution to the Sp(2N) State Labeling Problem. Journal of Mathematical Physics, 26 (7), 1446-1457. doi: 10.1063/1.526908

A Projection-Based Solution to the Sp(2N) State Labeling Problem

1985

Journal Article

Characteristic Identities for Semi-Simple Lie-Algebras

Gould, MD (1985). Characteristic Identities for Semi-Simple Lie-Algebras. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 26 (JAN), 257-283. doi: 10.1017/S0334270000004501

Characteristic Identities for Semi-Simple Lie-Algebras

1985

Journal Article

Correction

Gould, MD (1985). Correction. International Journal of Quantum Chemistry, 27 (6), 787-801. doi: 10.1002/qua.560270613

Correction

1985

Journal Article

CORRECTION

GOULD, MD (1985). CORRECTION. International Journal of Quantum Chemistry, 27 (6), 787-801. doi: 10.1002/qua.560270613

CORRECTION

1984

Journal Article

Unitary-Group Approach to the Many-Electron Problem .3. Matrix-Elements of Spin-Dependent Hamiltonians

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .3. Matrix-Elements of Spin-Dependent Hamiltonians. International Journal of Quantum Chemistry, 25 (6), 1089-1109. doi: 10.1002/qua.560250613

Unitary-Group Approach to the Many-Electron Problem .3. Matrix-Elements of Spin-Dependent Hamiltonians

1984

Journal Article

A Spin-Dependent Unitary-Group Approach to Many-Electron Systems

Gould, MD and Chandler, GS (1984). A Spin-Dependent Unitary-Group Approach to Many-Electron Systems. International Journal of Quantum Chemistry, 26 (4), 441-455. doi: 10.1002/qua.560260403

A Spin-Dependent Unitary-Group Approach to Many-Electron Systems

1984

Journal Article

Unitary-Group Approach to the Many-Electron Problem .2. Adjoint Tensor-Operators for U(N)

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .2. Adjoint Tensor-Operators for U(N). International Journal of Quantum Chemistry, 25 (3), 603-633. doi: 10.1002/qua.560250312

Unitary-Group Approach to the Many-Electron Problem .2. Adjoint Tensor-Operators for U(N)

1984

Journal Article

Tensor-Operators and Projection Techniques in Infinite Dimensional Representations of Semi-Simple Lie-Algebras

Gould, MD (1984). Tensor-Operators and Projection Techniques in Infinite Dimensional Representations of Semi-Simple Lie-Algebras. Journal of Physics A-Mathematical and General, 17 (1), 1-17. doi: 10.1088/0305-4470/17/1/006

Tensor-Operators and Projection Techniques in Infinite Dimensional Representations of Semi-Simple Lie-Algebras

1984

Journal Article

Unitary-Group Approach to the Many-Electron Problem .1. Matrix Element Evaluation and Shift-Operators

Gould, MD and Chandler, GS (1984). Unitary-Group Approach to the Many-Electron Problem .1. Matrix Element Evaluation and Shift-Operators. International Journal of Quantum Chemistry, 25 (3), 553-601. doi: 10.1002/qua.560250311

Unitary-Group Approach to the Many-Electron Problem .1. Matrix Element Evaluation and Shift-Operators

1984

Journal Article

Enveloping Algebra Annihilators and Projection Techniques for Finite-Dimensional Cyclic Modules of a Semisimple Lie-Algebra

Gould, MD and Edwards, SA (1984). Enveloping Algebra Annihilators and Projection Techniques for Finite-Dimensional Cyclic Modules of a Semisimple Lie-Algebra. Journal of Mathematical Physics, 25 (10), 2848-2855. doi: 10.1063/1.526033

Enveloping Algebra Annihilators and Projection Techniques for Finite-Dimensional Cyclic Modules of a Semisimple Lie-Algebra

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

Current funding

  • 2022 - 2025
    Lie superalgebra representations: a geometric approach
    ARC Discovery Projects
    Open grant

Past funding

  • 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

    Mathematical Modelling of the Evolution of Post-Menopausal Longevity amongst Humans

    Associate Advisor

    Other advisors: Dr Zoltan Neufeld

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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