Emeritus Professor Mark Gould
Emeritus Professor

Mark Gould

Email: 

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)

21 - 40 of 183 works

2005

Journal Article

Eigenvalues of Casimir invariants for Uq[osp(m|n)]

Dancer, K. A., Gould, M. D. and Links, J. R. (2005). Eigenvalues of Casimir invariants for Uq[osp(m|n)]. Journal of Mathematical Physics, 46 (12) 123501, 123501-1-123501-20. doi: 10.1063/1.2137712

Eigenvalues of Casimir invariants for Uq[osp(m|n)]

2005

Journal Article

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

Zhang, Yao-Zhong and Gould, M. D. (2005). A unified and complete construction of all finite dimensional irreducible representations of gl(2|2). Journal of Mathematical Physics, 46 (1) 013505, 013505-1-013505-19. doi: 10.1063/1.1812829

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

2005

Journal Article

Some twisted results

Gould, MD and Lekatsas, T (2005). Some twisted results. Journal of Physics A-mathematical And General, 38 (47), 10123-10144. doi: 10.1088/0305-4470/38/47/006

Some twisted results

2004

Journal Article

Exact solution of the XXZ Gaudin model with generic open boundaries

Yang, W. L., Zhang, Y. Z. and Gould, M. D. (2004). Exact solution of the XXZ Gaudin model with generic open boundaries. Nuclear Physics B, 698 (3), 503-516. doi: 10.1016/j.nuclphysb.2004.07.029

Exact solution of the XXZ Gaudin model with generic open boundaries

2003

Journal Article

On osp(2|2) conformal field theories

Ding, Xiang-Mao, Gould, Mark D., Mewton, Courtney J. and Zhang, Yao-Zhong (2003). On osp(2|2) conformal field theories. Journal of Physics A-mathematical And General, 36 (11), 7649-7665. doi: 10.1088/0305-4470/36/27/316

On osp(2|2) conformal field theories

2003

Journal Article

Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins

Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2003). Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins. Journal of Physics A: Mathematical and General, 36 (19), R63-R104. doi: 10.1088/0305-4470/36/19/201

Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins

2003

Journal Article

Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions

Ge, XY and Gould, MD (2003). Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions. Journal of Physics A-mathematical And General, 36 (7), 1801-1825. doi: 10.1088/0305-4470/36/7/302

Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions

2003

Journal Article

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2003). gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory. Physics Letters A, 318 (4-5), 354-363. doi: 10.1016/j.physleta.2003.08.034

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

2003

Journal Article

Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme

Zhou, H. Q., Links, J., Gould, M. D. and McKenzie, R. H. (2003). Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme. Journal of Mathematical Physics, 44 (10), 4690-4701. doi: 10.1063/1.1605495

Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme

2002

Journal Article

Elliptic Gaudin models and elliptic KZ equations

Gould, Mark D., Zhang, Yao-Zhong and Zhao, Shao-You (2002). Elliptic Gaudin models and elliptic KZ equations. Nuclear Physics B, 630 (3), 492-508. doi: 10.1016/S0550-3213(02)00136-0

Elliptic Gaudin models and elliptic KZ equations

2002

Journal Article

Twisted parafermions

Ding, Xiang-Mao, Gould, Mark D. and Zhang, Yao-Zhong (2002). Twisted parafermions. Physics Letters B, 530 (1-4), 197-201. doi: 10.1016/S0370-2693(02)01319-9

Twisted parafermions

2002

Journal Article

Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz

Zhou, Huan-Qiang, Links, Jon, McKenzie, Ross H. and Gould, Mark D. (2002). Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz. Physical Review B, 65 (6) 060502, 060502-1-060502-4. doi: 10.1103/PhysRevB.65.060502

Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz

2002

Journal Article

A(2)((2)) parafermions: a new conformal field theory

Ding, XM, Gould, MD and Zhang, YZ (2002). A(2)((2)) parafermions: a new conformal field theory. Nuclear Physics B, 636 (3) 8334, 549-567. doi: 10.1016/S0550-3213(02)00335-8

A(2)((2)) parafermions: a new conformal field theory

2002

Journal Article

Supersymmetric t-J Gaudin models and KZ equations

Gould, M. D., Zhang, Y. Z. and Zhao, S. Y. (2002). Supersymmetric t-J Gaudin models and KZ equations. Journal of Physics A-mathematical And General, 35 (44), 9381-9393. doi: 10.1088/0305-4470/35/44/308

Supersymmetric t-J Gaudin models and KZ equations

2002

Journal Article

Integrability and exact spectrum of a pairing model for nucleons

Links, J. R., Zhou, H., Gould, M. D. and McKenzie, R. H. (2002). Integrability and exact spectrum of a pairing model for nucleons. Journal of Physics A: Mathematical and General, 35 (2) 317, 6459-6469. doi: 10.1088/0305-4470/35/30/317

Integrability and exact spectrum of a pairing model for nucleons

2002

Journal Article

Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra

Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2002). Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra. International Journal of Modern Physics B, 16 (14 & 15), 2153-2159. doi: 10.1142/S0217979202011913

Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra

2002

Journal Article

Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

Links, J., Zhou, H. Q., McKenzie, R. H. and Gould, M. D. (2002). Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains. International Journal of Modern Physics B, 16 (23), 3429-3438. doi: 10.1142/S0217979202011949

Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

2002

Journal Article

R-matrices and the tensor product graph method

Gould, M. D. and Zhang, Y. Z. (2002). R-matrices and the tensor product graph method. International Journal of Modern Physics B, 16 (14 & 15), 2145-2151. doi: 10.1142/S0217979202011901

R-matrices and the tensor product graph method

2002

Journal Article

Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

Ge, X., Gould, M. D., Links, J. R. and Zhou, H. (2002). Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models. Journal of Physics A: Mathematical and General, 35 (29) 403, 6197-6201. doi: 10.1088/0305-4470/35/29/403

Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

2001

Journal Article

On Quasi-Hopf Superalgebras

Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2001). On Quasi-Hopf Superalgebras. Communications in Mathematical Physics, 224 (2), 341-372. doi: 10.1007/s00220-001-0566-2

On Quasi-Hopf Superalgebras

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

Need help?

For help with finding experts, story ideas and media enquiries, contact our Media team:

communications@uq.edu.au