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) Edited Outputs (1) Conference Publication (6) Book Chapter (2)

141 - 160 of 185 works

1991

Journal Article

Generalized Gelfand Invariants of Quantum Groups

Zhang, RB, Gould, MD and Bracken, AJ (1991). Generalized Gelfand Invariants of Quantum Groups. Journal of Physics A-Mathematical and General, 24 (5) 009, 937-943. doi: 10.1088/0305-4470/24/5/009

Generalized Gelfand Invariants of Quantum Groups

1991

Journal Article

Solution of the Graded Yang-Baxter Equation Associated with the Vector Representation of Uq(Osp(M/2N))

Zhang, RB, Bracken, AJ and Gould, MD (1991). Solution of the Graded Yang-Baxter Equation Associated with the Vector Representation of Uq(Osp(M/2N)). Physics Letters B, 257 (1-2), 133-139. doi: 10.1016/0370-2693(91)90870-V

Solution of the Graded Yang-Baxter Equation Associated with the Vector Representation of Uq(Osp(M/2N))

1991

Journal Article

Quantum Group Invariants and Link Polynomials

Zhang, RB, Gould, MD and Bracken, AJ (1991). Quantum Group Invariants and Link Polynomials. Communications in Mathematical Physics, 137 (1), 13-27. doi: 10.1007/BF02099115

Quantum Group Invariants and Link Polynomials

1991

Journal Article

Classification of infinite dimensional irreducible modules for type I Lie superalgebras

Gould, M. D. (1991). Classification of infinite dimensional irreducible modules for type I Lie superalgebras. Reports on Mathematical Physics, 30 (3), 363-380. doi: 10.1016/0034-4877(91)90065-U

Classification of infinite dimensional irreducible modules for type I Lie superalgebras

1990

Journal Article

Branching-Rules for a Class of Typical and Atypical Representations of Gl(M/n)

Gould, MD, Jarvis, PD and Bracken, AJ (1990). Branching-Rules for a Class of Typical and Atypical Representations of Gl(M/n). Journal of Mathematical Physics, 31 (12), 2803-2810. doi: 10.1063/1.528983

Branching-Rules for a Class of Typical and Atypical Representations of Gl(M/n)

1990

Journal Article

Classification of All Star Irreps of Gl(M-N)

Gould, MD and Zhang, RB (1990). Classification of All Star Irreps of Gl(M-N). Journal of Mathematical Physics, 31 (11), 2552-2559. doi: 10.1063/1.529001

Classification of All Star Irreps of Gl(M-N)

1990

Journal Article

Unitary Representations of Basic Classical Lie-Superalgebras

Gould, MD and Zhang, RB (1990). Unitary Representations of Basic Classical Lie-Superalgebras. Letters in Mathematical Physics, 20 (3), 221-229. doi: 10.1007/BF00398365

Unitary Representations of Basic Classical Lie-Superalgebras

1990

Journal Article

Unitary-Group Approach to Reduced Density-Matrices

Gould, MD, Paldus, J and Chandler, GS (1990). Unitary-Group Approach to Reduced Density-Matrices. Journal of Chemical Physics, 93 (6), 4142-4153. doi: 10.1063/1.458747

Unitary-Group Approach to Reduced Density-Matrices

1990

Journal Article

Classification of Star and Grade-Star Representations of C(N+1)

Zhang, RB and Gould, MD (1990). Classification of Star and Grade-Star Representations of C(N+1). Journal of Mathematical Physics, 31 (8), 1889-1894. doi: 10.1063/1.528687

Classification of Star and Grade-Star Representations of C(N+1)

1990

Journal Article

Spin-Dependent Unitary-Group Approach .1. General Formalism

Gould, MD and Paldus, J (1990). Spin-Dependent Unitary-Group Approach .1. General Formalism. Journal of Chemical Physics, 92 (12), 7394-7401. doi: 10.1063/1.458225

Spin-Dependent Unitary-Group Approach .1. General Formalism

1990

Journal Article

Classification of all star and grade irreps of gl(n/1)

Gould, M. D. and Zhang, R. B. (1990). Classification of all star and grade irreps of gl(n/1). Journal of Mathematical Physics, 31 (6), 1524-1534. doi: 10.1063/1.528695

Classification of all star and grade irreps of gl(n/1)

1990

Journal Article

Quantum Supergroups and Solutions of the Yang-Baxter Equation

Bracken, AJ, Gould, MD and Zhang, RB (1990). Quantum Supergroups and Solutions of the Yang-Baxter Equation. Modern Physics Letters a, 5 (11), 831-840. doi: 10.1142/S0217732390000925

Quantum Supergroups and Solutions of the Yang-Baxter Equation

1989

Journal Article

Branching-Rules for Typical and Atypical Representations of Gl(N/1)

Gould, MD, Bracken, AJ and Hughes, Jwb (1989). Branching-Rules for Typical and Atypical Representations of Gl(N/1). Journal of Physics A-Mathematical and General, 22 (15), 2879-2896. doi: 10.1088/0305-4470/22/15/008

Branching-Rules for Typical and Atypical Representations of Gl(N/1)

1989

Journal Article

Representation-Theory of the Symplectic Groups .1.

Gould, MD (1989). Representation-Theory of the Symplectic Groups .1.. Journal of Mathematical Physics, 30 (6), 1205-1218. doi: 10.1063/1.528346

Representation-Theory of the Symplectic Groups .1.

1989

Journal Article

Atypical Representations for Type-I Lie-Superalgebras

Gould, MD (1989). Atypical Representations for Type-I Lie-Superalgebras. Journal of Physics A-Mathematical and General, 22 (9) 012, 1209-1221. doi: 10.1088/0305-4470/22/9/012

Atypical Representations for Type-I Lie-Superalgebras

1989

Journal Article

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .1. General Formalism

Gould, MD and Chandler, GS (1989). A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .1. General Formalism. Journal of Chemical Physics, 90 (7), 3680-3685. doi: 10.1063/1.455825

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .1. General Formalism

1989

Journal Article

Casimir invariants and infinitesimal characters for semi-simple Lie algebras

Gould, M. D. (1989). Casimir invariants and infinitesimal characters for semi-simple Lie algebras. Reports on Mathematical Physics, 27 (1), 73-111. doi: 10.1016/0034-4877(89)90037-2

Casimir invariants and infinitesimal characters for semi-simple Lie algebras

1987

Journal Article

Parastatistics and the Clifford-Algebra Unitary-Group Approach to the Many-Electron Correlation-Problem

Gould, MD and Paldus, J (1987). Parastatistics and the Clifford-Algebra Unitary-Group Approach to the Many-Electron Correlation-Problem. Journal of Mathematical Physics, 28 (10), 2304-2309. doi: 10.1063/1.527762

Parastatistics and the Clifford-Algebra Unitary-Group Approach to the Many-Electron Correlation-Problem

1987

Journal Article

Identities and Characters for Finite-Groups

Gould, MD (1987). Identities and Characters for Finite-Groups. Journal of Physics A-Mathematical and General, 20 (10), 2657-2665. doi: 10.1088/0305-4470/20/10/009

Identities and Characters for Finite-Groups

1987

Journal Article

Reduced Characters for Finite-Groups

Gould, MD (1987). Reduced Characters for Finite-Groups. Molecular Physics, 60 (5), 991-1014. doi: 10.1080/00268978700100661

Reduced Characters for Finite-Groups

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

Looking for a supervisor? Read our advice on how to choose a supervisor.

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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