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)

121 - 140 of 184 works

1993

Journal Article

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

Links, JR, Gould, MD and Zhang, RB (1993). Quantum Supergroups, Link Polynomials and Representation of the Braid Generator. Reviews in Mathematical Physics, 5 (2), 345-361. doi: 10.1142/S0129055X93000097

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

1993

Journal Article

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

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions. Journal of Chemical Physics, 98 (11), 8843-8851. doi: 10.1063/1.464494

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

1993

Journal Article

Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]

Bracken, AJ, Gould, MD and Tsohantjis, I (1993). Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]. Journal of Mathematical Physics, 34 (5), 1654-1664. doi: 10.1063/1.530182

Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]

1993

Journal Article

Raising and lowering operators for Uq(gl(n))

Links, J. and Gould, M. D. (1993). Raising and lowering operators for Uq(gl(n)). Journal of Mathematical Physics, 34 (4), 1577-1586. doi: 10.1063/1.530175

Raising and lowering operators for Uq(gl(n))

1993

Journal Article

Formulas for the Spin-Dependent Unitary-Group Approach

Battle, JS and Gould, MD (1993). Formulas for the Spin-Dependent Unitary-Group Approach. Chemical Physics Letters, 201 (1-4), 284-293. doi: 10.1016/0009-2614(93)85072-V

Formulas for the Spin-Dependent Unitary-Group Approach

1993

Journal Article

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

Links, JR, Gould, MD and Tsohantjis, I (1993). Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]. Letters in Mathematical Physics, 27 (1), 51-58. doi: 10.1007/BF00739589

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

1992

Journal Article

The pattern calculus for tensor operators in quantum groups

Gould, Mark and Biedenharn, L. C. (1992). The pattern calculus for tensor operators in quantum groups. Journal of Mathematical Physics, 33 (11), 3613-3635. doi: 10.1063/1.529909

The pattern calculus for tensor operators in quantum groups

1992

Journal Article

2 Variable Link Polynomials From Quantum Supergroups

Links, JR and Gould, MD (1992). 2 Variable Link Polynomials From Quantum Supergroups. Letters in Mathematical Physics, 26 (3), 187-198. doi: 10.1007/BF00420752

2 Variable Link Polynomials From Quantum Supergroups

1992

Journal Article

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2)

Burton, PJ and Gould, MD (1992). A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2). Journal of Chemical Physics, 96 (7), 5261-5271. doi: 10.1063/1.462711

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2)

1992

Journal Article

Reduced Wigner Coefficients for Uq(Gl(N))

Gould, MD (1992). Reduced Wigner Coefficients for Uq(Gl(N)). Journal of Mathematical Physics, 33 (3), 1023-1031. doi: 10.1063/1.529764

Reduced Wigner Coefficients for Uq(Gl(N))

1992

Journal Article

Quantum Groups and Diagonalization of the Braid Generator

Gould, MD (1992). Quantum Groups and Diagonalization of the Braid Generator. Letters in Mathematical Physics, 24 (3), 183-196. doi: 10.1007/BF00402893

Quantum Groups and Diagonalization of the Braid Generator

1992

Journal Article

Matrix elements and Wigner coefficients for Uq[gl(n)]

Gould, M. D., Links, J. and Bracken, A. J. (1992). Matrix elements and Wigner coefficients for Uq[gl(n)]. Journal of Mathematical Physics, 33 (3), 1008-1022. doi: 10.1063/1.529986

Matrix elements and Wigner coefficients for Uq[gl(n)]

1992

Journal Article

Casimir invariants for Hopf algebras

Links, J. R. and Gould, M. D. (1992). Casimir invariants for Hopf algebras. Reports on Mathematical Physics, 31 (1), 91-111. doi: 10.1016/0034-4877(92)90007-N

Casimir invariants for Hopf algebras

1991

Journal Article

Universal-R Matrices and Invariants of Quantum Supergroups

Zhang, RB and Gould, MD (1991). Universal-R Matrices and Invariants of Quantum Supergroups. Journal of Mathematical Physics, 32 (12), 3261-3267. doi: 10.1063/1.529487

Universal-R Matrices and Invariants of Quantum Supergroups

1991

Journal Article

Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups

Gould, MD, Zhang, RB and Bracken, AJ (1991). Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups. Journal of Mathematical Physics, 32 (9), 2298-2303. doi: 10.1063/1.529152

Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups

1991

Journal Article

Characteristic Identities for Kac-Moody Algebras

Gould, MD and Jarvis, PD (1991). Characteristic Identities for Kac-Moody Algebras. Letters in Mathematical Physics, 22 (2), 91-100. doi: 10.1007/BF00405172

Characteristic Identities for Kac-Moody Algebras

1991

Journal Article

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

Zhang, RB, Gould, MD and Bracken, AJ (1991). From Representations of the Braid Group to Solutions of the Yang-Baxter Equation. Nuclear Physics B, 354 (2-3), 625-652. doi: 10.1016/0550-3213(91)90369-9

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

1991

Journal Article

A Q-Analog of Bargmann Space and its Scalar Product

Bracken, AJ, McAnally, DS, Zhang, RB and Gould, MD (1991). A Q-Analog of Bargmann Space and its Scalar Product. Journal of Physics A-Mathematical and General, 24 (7) 015, 1379-1391. doi: 10.1088/0305-4470/24/7/015

A Q-Analog of Bargmann Space and its Scalar Product

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

Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models

Zhang, RB, Gould, MD and Bracken, AJ (1991). Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models. Journal of Physics A-Mathematical and General, 24 (6), 1185-1197. doi: 10.1088/0305-4470/24/6/012

Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models

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

Before you email them, read our advice on how to contact a supervisor.

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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