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

186 works between 1978 and 2026
All (186) Journal Article (177) Edited Outputs (1) Conference Publication (6) Book Chapter (2)

101 - 120 of 186 works

1995

Book Chapter

Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras

Bracken, Anthony J., Gould, Mark D., Zhang, Yao-Zhong and Delius, Gustav W. (1995). Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras. Perspectives on Solvable Models. (pp. 231-243) Singapore, Singapore: World Scientific. doi: 10.1142/9789812831279_0015

Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras

1995

Conference Publication

Quantum groups and link polynomials

Gould, M. D. (1995). Quantum groups and link polynomials. Confronting the Infinite, Adelaide, SA, Australia, 14-17 February, 1994. River Edge, NJ, USA: World Scientific Publishing.

Quantum groups and link polynomials

1994

Journal Article

On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

Delius, GW, Gould, MD and Zhang, YZ (1994). On the Construction of Trigonometric Solutions of the Yang-Baxter Equation. Nuclear Physics B, 432 (1-2), 377-403. doi: 10.1016/0550-3213(94)90607-6

On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

1994

Journal Article

Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator

Gould, MD and Zhang, YZ (1994). Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator. Journal of Mathematical Physics, 35 (12), 6757-6773. doi: 10.1063/1.530641

Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator

1994

Journal Article

Tensor Product Decompositions for Affine Kac-Moody Algebras

Gould, MD (1994). Tensor Product Decompositions for Affine Kac-Moody Algebras. Reviews in Mathematical Physics, 6 (6), 1269-1299. doi: 10.1142/S0129055X94000456

Tensor Product Decompositions for Affine Kac-Moody Algebras

1994

Journal Article

Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras

Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994). Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras. International Journal of Modern Physics B, 8 (25-26), 3679-3691. doi: 10.1142/S0217979294001585

Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras

1994

Journal Article

Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups

Links, JR, Scheunert, M and Gould, MD (1994). Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups. Letters in Mathematical Physics, 32 (3), 231-240. doi: 10.1007/BF00750665

Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups

1994

Journal Article

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

Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994). Solutions of the Quantum Yang-Baxter Equation with Extra Nonadditive Parameters. Journal of Physics A-Mathematical and General, 27 (19) 025, 6551-6561. doi: 10.1088/0305-4470/27/19/025

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

1994

Journal Article

On Universal R-Matrix for Quantized Nontwisted Rank-3 Affine Km Algebras (Vol 29, Pg 19, 1993)

Zhang, Y. Z. and Gould, M. D. (1994). On Universal R-Matrix for Quantized Nontwisted Rank-3 Affine Km Algebras (Vol 29, Pg 19, 1993). Letters in Mathematical Physics, 32 (1), 83-83.

On Universal R-Matrix for Quantized Nontwisted Rank-3 Affine Km Algebras (Vol 29, Pg 19, 1993)

1994

Journal Article

Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter

Zhang, YZ and Gould, MD (1994). Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter. Letters in Mathematical Physics, 31 (2), 101-110. doi: 10.1007/BF00750144

Quantum Affine Algebras and Universal R-Matrix with Spectral Parameter

1994

Journal Article

Casimir Invariants for Quantized Affine Lie-Algebras

Gould, MD and Zhang, YZ (1994). Casimir Invariants for Quantized Affine Lie-Algebras. Letters in Mathematical Physics, 31 (1), 77-83. doi: 10.1007/BF00751173

Casimir Invariants for Quantized Affine Lie-Algebras

1994

Journal Article

Quantized Affine Lie-Algebras and Diagonalization of Braid Generators

Gould, MD and Zhang, YZ (1994). Quantized Affine Lie-Algebras and Diagonalization of Braid Generators. Letters in Mathematical Physics, 30 (4), 267-277. doi: 10.1007/BF00751063

Quantized Affine Lie-Algebras and Diagonalization of Braid Generators

1994

Journal Article

Quantum Double Finite-Group Algebras and Link Polynomials

Tsohantjis, I and Gould, MD (1994). Quantum Double Finite-Group Algebras and Link Polynomials. Bulletin of the Australian Mathematical Society, 49 (2), 177-204. doi: 10.1017/S0004972700016270

Quantum Double Finite-Group Algebras and Link Polynomials

1994

Journal Article

Quasi-Spin and the Pseudo-Orthogonal Group in the Hubbard-Model

Gould, MD, Paldus, J and Cizek, J (1994). Quasi-Spin and the Pseudo-Orthogonal Group in the Hubbard-Model. International Journal of Quantum Chemistry, 50 (3), 207-231. doi: 10.1002/qua.560500306

Quasi-Spin and the Pseudo-Orthogonal Group in the Hubbard-Model

1993

Journal Article

Unitarity and Complete Reducibility of Certain Modules Over Quantized Affine Lie-Algebras

Zhang, YZ and Gould, MD (1993). Unitarity and Complete Reducibility of Certain Modules Over Quantized Affine Lie-Algebras. Journal of Mathematical Physics, 34 (12), 6045-6059. doi: 10.1063/1.530249

Unitarity and Complete Reducibility of Certain Modules Over Quantized Affine Lie-Algebras

1993

Journal Article

Spin-Dependent Unitary-Group Approach .2. Derivation of Matrix-Elements for Spin-Dependent Operators

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach .2. Derivation of Matrix-Elements for Spin-Dependent Operators. Journal of Chemical Physics, 99 (8), 5961-5975. doi: 10.1063/1.465895

Spin-Dependent Unitary-Group Approach .2. Derivation of Matrix-Elements for Spin-Dependent Operators

1993

Journal Article

Quantum Double Finite-Group Algebras and Their Representations

Gould, MD (1993). Quantum Double Finite-Group Algebras and Their Representations. Bulletin of the Australian Mathematical Society, 48 (2), 275-301. doi: 10.1017/S0004972700015707

Quantum Double Finite-Group Algebras and Their Representations

1993

Journal Article

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .2. 1St-Order Energy-Level Shifts Due to Spin-Spin Interaction

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .2. 1St-Order Energy-Level Shifts Due to Spin-Spin Interaction. Journal of Chemical Physics, 99 (8), 5983-5994. doi: 10.1063/1.465897

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .2. 1St-Order Energy-Level Shifts Due to Spin-Spin Interaction

1993

Journal Article

On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Km Algebras

Zhang, YZ and Gould, MD (1993). On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Km Algebras. Letters in Mathematical Physics, 29 (1), 19-32. doi: 10.1007/BF00760855

On Universal R-Matrix for Quantized Nontwisted Rank 3 Affine Km Algebras

1993

Journal Article

Quantum Supergroups and Link Polynomials

Gould, MD, Tsohantjis, I and Bracken, AJ (1993). Quantum Supergroups and Link Polynomials. Reviews in Mathematical Physics, 5 (3), 533-549. doi: 10.1142/S0129055X93000152

Quantum Supergroups and Link Polynomials

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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