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)

41 - 60 of 183 works

2001

Journal Article

Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

Bracken, Anthony J., Ge, Xiang-Yu, Gould, Mark D., Links, Jon and Zhou, Huan-Qiang (2001). Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions. Journal of Physics A-mathematical And General, 34 (21), 4459-4474. doi: 10.1088/0305-4470/34/21/304

Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

2001

Journal Article

Ladder operator for the one-dimensional Hubbard model

Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2001). Ladder operator for the one-dimensional Hubbard model. Physical Review Letters, 86 (22), 5096-5099. doi: 10.1103/PhysRevLett.86.5096

Ladder operator for the one-dimensional Hubbard model

2001

Journal Article

Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains

Foerster, A, Gould, MD, Guan, XW, Roditi, I and Zhou, HQ (2001). Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains. Nuclear Physics B, 612 (3), 461-478. doi: 10.1016/S0550-3213(01)00354-6

Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains

2001

Journal Article

Integrable Kondo impurity in one-dimensional q-deformed t-J models

Ge, X. Y., Gould, M. D., Links, J. and Zhou, H. Q. (2001). Integrable Kondo impurity in one-dimensional q-deformed t-J models. Journal of Physics A-mathematical And General, 34 (41), 8543-8561. doi: 10.1088/0305-4470/34/41/311

Integrable Kondo impurity in one-dimensional q-deformed t-J models

2001

Journal Article

Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents

Ding, XM, Gould, MD and Zhang, YZ (2001). Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents. Physics Letters B, 523 (3-4), 367-376. doi: 10.1016/S0370-2693(01)01361-2

Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents

2001

Journal Article

Integrable extended hubbard models with boundary Kondo impurities

Bracken, A. J., Ge, X. Y., Gould, M. D. and Zhou, H. Q. (2001). Integrable extended hubbard models with boundary Kondo impurities. Bulletin of The Australian Mathematical Society, 64 (3), 445-467. doi: 10.1017/S0004972700019912

Integrable extended hubbard models with boundary Kondo impurities

2000

Journal Article

Integrable Kondo impurities in one-dimensional extended Hubbard models

Zhou, H-Q, Ge, X. Y., Links, J. R. and Gould, M. D. (2000). Integrable Kondo impurities in one-dimensional extended Hubbard models. Physical Review B, 62 (8), 4906-4921. doi: 10.1103/PhysRevB.62.4906

Integrable Kondo impurities in one-dimensional extended Hubbard models

2000

Journal Article

Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices

Gould, M. D. and Zhang, Yao-Zhong (2000). Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices. Nuclear Physics B, 566 (3), 529-546. doi: 10.1016/S0550-3213(99)00516-7

Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices

2000

Journal Article

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

Zhang, YZ and Gould, MD (2000). U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level. Journal of Mathematical Physics, 41 (8), 5277-5291. doi: 10.1063/1.533409

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

2000

Journal Article

Casimir invariants from quasi-Hopf (super)algebras

Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2000). Casimir invariants from quasi-Hopf (super)algebras. Journal of Mathematical Physics, 41 (1), 547-568. doi: 10.1063/1.533151

Casimir invariants from quasi-Hopf (super)algebras

2000

Journal Article

Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level

Zhang, Yao-Zhong and Gould, M. D. (2000). Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level. Journal of Mathematical Physics, 41, 5277-5291.

Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level

2000

Journal Article

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

Links, JR, Gould, MD and Zhang, YZ (2000). Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. Journal of Mathematical Physics, 41 (7), 5020-5032. doi: 10.1063/1.533390

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

1999

Journal Article

Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model

Zhou, HQ and Gould, MD (1999). Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model. Physics Letters A, 251 (4), 279-285. doi: 10.1016/S0375-9601(98)00885-8

Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model

1999

Journal Article

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons

Zhou, H., Ge, X. and Gould, M. D. (1999). Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons. Journal of Physics A-mathematical And General, 32 (A), L137-L142. doi: 10.1088/0305-4470/32/12/002

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons

1999

Journal Article

Quasi-Hopf superalgebras and elliptic quantum supergroups

Zhang, YZ and Gould, MD (1999). Quasi-Hopf superalgebras and elliptic quantum supergroups. Journal of Mathematical Physics, 40 (10), 5264-5282. doi: 10.1063/1.533029

Quasi-Hopf superalgebras and elliptic quantum supergroups

1999

Journal Article

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

Gould, Mark D. and Zhang, Yao-Zhong (1999). Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules. Journal of Mathematical Physics, 40 (11), 5371-5386. doi: 10.1063/1.533075

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

1999

Edited Outputs

XIIth International Congress of Mathematical Physics (ICMP'97)

De Wit, D., Bracken, A. J., Gould, M. D. and Pearce, P. A. eds. (1999). XIIth International Congress of Mathematical Physics (ICMP'97). XIIth International Congress of Mathematical Physics (ICMP'97), Univ.of Qld, 13-19 July, 1997. Cambridge, MA (USA): Int. Press ..

XIIth International Congress of Mathematical Physics (ICMP'97)

1999

Book Chapter

Integrable models of correlated electrons

Bracken, Anthony R., Gould, Mark D., Links, Jon R. and Zhang, Yao-Zhong (1999). Integrable models of correlated electrons. Statistical Physics on the Eve of the 21st Century. (pp. 303-315) edited by Murry Batchelor and Luc Wille. River Ridge, New Jersey United States: World Scientific Publishing. doi: 10.1142/3964

Integrable models of correlated electrons

1999

Journal Article

Eigenvalues of Casimir operators for gl(m/infinity)

Gould, MD and Stoilova, NI (1999). Eigenvalues of Casimir operators for gl(m/infinity). Journal of Physics A-mathematical And General, 32 (2), 391-399. doi: 10.1088/0305-4470/32/2/012

Eigenvalues of Casimir operators for gl(m/infinity)

1999

Journal Article

Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model

Zhou, H., Ge, X. and Gould, M. D. (1999). Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model. Journal of Physics A: Mathematical and General, 32 (A), 5383-5388. doi: 10.1088/0305-4470/32/28/315

Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model

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

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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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