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

183 works between 1978 and 2022
All (183) Journal Article (174) Book Chapter (2) Conference Publication (6) Edited Outputs (1)

81 - 100 of 183 works

1996

Journal Article

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

Delius, GW, Gould, MD and Zhang, YZ (1996). Twisted quantum affine algebras and solutions to the Yang-Baxter equation. International Journal of Modern Physics a, 11 (19), 3415-3437. doi: 10.1142/S0217751X96001632

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

1996

Journal Article

General eigenvalue formula for Casimir invariants of type I quantum superalgebras

Gould, MD and Links, JR (1996). General eigenvalue formula for Casimir invariants of type I quantum superalgebras. Journal of Mathematical Physics, 37 (5), 2426-2456. doi: 10.1063/1.531519

General eigenvalue formula for Casimir invariants of type I quantum superalgebras

1996

Journal Article

Matrix elements of U(2n) generators in a multishell spin-orbit basis .1. General formalism

Burton, PJ and Gould, MD (1996). Matrix elements of U(2n) generators in a multishell spin-orbit basis .1. General formalism. Journal of Chemical Physics, 104 (13), 5112-5133. doi: 10.1063/1.471139

Matrix elements of U(2n) generators in a multishell spin-orbit basis .1. General formalism

1996

Journal Article

Eigenvalues of casimir invariants for type I quantum superalgebras

Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406

Eigenvalues of casimir invariants for type I quantum superalgebras

1996

Journal Article

Integrable electron model with correlated hopping and quantum supersymmetry

Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4

Integrable electron model with correlated hopping and quantum supersymmetry

1996

Journal Article

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

1996

Journal Article

Algebraic Bethe ansatz for the supersymmetric U model

Hibberd, K. E., Gould, M. D. and Links, J. R. (1996). Algebraic Bethe ansatz for the supersymmetric U model. Physical Review B: Condensed Matter and Materials Physics, 54 (12), 8430-8437. doi: 10.1103/PhysRevB.54.8430

Algebraic Bethe ansatz for the supersymmetric U model

1996

Journal Article

A q-superdimension formula for irreps of type I quantum superalgebras

Links, JR and Gould, MD (1996). A q-superdimension formula for irreps of type I quantum superalgebras. Journal of Mathematical Physics, 37 (1), 484-492. doi: 10.1063/1.531403

A q-superdimension formula for irreps of type I quantum superalgebras

1996

Journal Article

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1996). Algebraic Bethe ansatz for the anisotropic supersymmetric U model. Journal of Physics A-mathematical And General, 29 (24), 8053-8065. doi: 10.1088/0305-4470/29/24/028

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

1995

Journal Article

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

1995

Journal Article

The Graphical Spin Algebra Method Applied to U(2N) Generators

Lucht, MW and Gould, MD (1995). The Graphical Spin Algebra Method Applied to U(2N) Generators. Journal of Chemical Physics, 103 (13), 5590-5599. doi: 10.1063/1.470542

The Graphical Spin Algebra Method Applied to U(2N) Generators

1995

Journal Article

On Type-I Quantum Affine Superalgebras

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). On Type-I Quantum Affine Superalgebras. International Journal of Modern Physics a, 10 (23), 3259-3281. doi: 10.1142/S0217751X95001571

On Type-I Quantum Affine Superalgebras

1995

Journal Article

Quantized Affine Algebras and Parameter-Dependent R-Matrices

Bracken, AJ, Gould, MD and Zhang, YZ (1995). Quantized Affine Algebras and Parameter-Dependent R-Matrices. Bulletin of the Australian Mathematical Society, 51 (2), 177-194. doi: 10.1017/S0004972700014040

Quantized Affine Algebras and Parameter-Dependent R-Matrices

1995

Journal Article

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995). New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 (14), 2768-2771. doi: 10.1103/PhysRevLett.74.2768

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

1995

Conference Publication

Quantum groups for physicists

Gould, M. D. (1995). Quantum groups for physicists. Statistical Mechanics and Field Theory: The 7th Physics Summer School, Canberra, ACT, Australia, 10-28 January, 1994. River Edge, NJ, USA: World Scientific Publications.

Quantum groups for physicists

1995

Journal Article

Classification of Finite-Dimensional Unitary Irreps for U-Q[Gl(M-Vertical-Bar-N)]

Gould, MD and Scheunert, M (1995). Classification of Finite-Dimensional Unitary Irreps for U-Q[Gl(M-Vertical-Bar-N)]. Journal of Mathematical Physics, 36 (1), 435-452. doi: 10.1063/1.531317

Classification of Finite-Dimensional Unitary Irreps for U-Q[Gl(M-Vertical-Bar-N)]

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

1995

Journal Article

Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))

Links, JR and Gould, MD (1995). Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N)). Journal of Mathematical Physics, 36 (1), 531-545. doi: 10.1063/1.531321

Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))

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

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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