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)

61 - 80 of 183 works

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)

1998

Journal Article

Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis

Burton, P. J. and Gould, M. D. (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis. International Journal of Quantum Chemistry, 66 (5), 323-343. doi: 10.1002/(SICI)1097-461X(1998)66:5

Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis

1998

Journal Article

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

Ge, Xiang-Yu, Gould, Mark D., Zhang, Yao-Zhong and Zhou, Huan-Qiang (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters, Section A: General, Atomic and Solid State Physics, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

1998

Journal Article

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry. Journal of Physics A-mathematical And General, 31 (23), 5233-5239. doi: 10.1088/0305-4470/31/23/006

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

1998

Conference Publication

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1998). U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

1998

Journal Article

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters A, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

1998

Journal Article

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

Burton, PJ and Gould, MD (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. III. General formulas. International Journal of Quantum Chemistry, 66 (5), 365-375. doi: 10.1002/(SICI)1097-461X(1998)66:53.0.CO;2-T

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

1998

Journal Article

On super-RS algebra and Drinfeld realization of quantum affine superalgebras

Gould, MD and Zhang, YZ (1998). On super-RS algebra and Drinfeld realization of quantum affine superalgebras. Letters In Mathematical Physics, 44 (4), 291-308. doi: 10.1023/A:1007494602290

On super-RS algebra and Drinfeld realization of quantum affine superalgebras

1998

Journal Article

Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons

Links, J, Hibberd, K, Gould, M and Foerster, A (1998). Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons. European Physical Journal B, 5 (3), 309-312. doi: 10.1007/s100510050447

Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons

1998

Journal Article

Eight-state supersymmetric U model of strongly correlated fermions

Gould, MD, Zhang, YZ and Zhou, HQ (1998). Eight-state supersymmetric U model of strongly correlated fermions. Physical Review B, 57 (16), 9498-9501. doi: 10.1103/PhysRevB.57.9498

Eight-state supersymmetric U model of strongly correlated fermions

1998

Journal Article

The structure of quantum Lie algebras for the classical series, B-l, C-l and D-l

Delius, GW, Gardner, C and Gould, MD (1998). The structure of quantum Lie algebras for the classical series, B-l, C-l and D-l. Journal of Physics A-mathematical And General, 31 (8), 1995-2019. doi: 10.1088/0305-4470/31/8/012

The structure of quantum Lie algebras for the classical series, B-l, C-l and D-l

1998

Conference Publication

Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product

Gould, MD and Isaac, PS (1998). Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product

1998

Journal Article

Matrix elements of U(2n) generators in a multishell spin-orbit basis. II. The two-shell nonzero shift ACCs and U(2n) generator MEs

Burton, PJ and Gould, MD (1998). Matrix elements of U(2n) generators in a multishell spin-orbit basis. II. The two-shell nonzero shift ACCs and U(2n) generator MEs. International Journal of Quantum Chemistry, 66 (5), 345-363. doi: 10.1002/(SICI)1097-461X(1998)66:53.3.CO;2-I

Matrix elements of U(2n) generators in a multishell spin-orbit basis. II. The two-shell nonzero shift ACCs and U(2n) generator MEs

1997

Journal Article

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

1997

Journal Article

Quantum Lie algebras, their existence, uniqueness and q-antisymmetry

Delius, GW and Gould, MD (1997). Quantum Lie algebras, their existence, uniqueness and q-antisymmetry. Communications In Mathematical Physics, 185 (3), 709-722. doi: 10.1007/s002200050107

Quantum Lie algebras, their existence, uniqueness and q-antisymmetry

1997

Journal Article

Casimir invariants and characteristic identities for gl(infinity)

Gould, MD and Stoilova, NI (1997). Casimir invariants and characteristic identities for gl(infinity). Journal of Mathematical Physics, 38 (9), 4783-4793. doi: 10.1063/1.532123

Casimir invariants and characteristic identities for gl(infinity)

1997

Conference Publication

The supersymmetric U model and Bethe ansatz equations

Hibberd, KE, Links, JR and Gould, MD (1997). The supersymmetric U model and Bethe ansatz equations. XXI International Colloquium on Group Theoretical Methods in Physics - Group 21, Goslar Germany, Jul 15-20, 1996. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD.

The supersymmetric U model and Bethe ansatz equations

1997

Journal Article

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

Gould, MD and Links, JR (1997). Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n)). Journal of Physics A-mathematical And General, 30 (5), 1613-1627. doi: 10.1088/0305-4470/30/5/024

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

1996

Journal Article

Integrable systems on open chains with quantum supersymmetry

Links, JR and Gould, MD (1996). Integrable systems on open chains with quantum supersymmetry. International Journal of Modern Physics B, 10 (25), 3461-3480. doi: 10.1142/S0217979296001859

Integrable systems on open chains with quantum supersymmetry

1996

Journal Article

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

Delius, GW, Huffmann, A, Gould, MD and Zhang, YZ (1996). Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n)). Journal of Physics A-Mathematical and General, 29 (17), 5611-5617. doi: 10.1088/0305-4470/29/17/031

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

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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