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Emeritus Professor Mark Gould
Emeritus Professor

Mark Gould

Email: 

Overview

Availability

Emeritus Professor Mark Gould is:
Available for supervision
Media expert

Qualifications

  • Bachelor (Honours) of Science (Advanced), University of Adelaide
  • Doctor of Philosophy, University of Adelaide

Works

Search Professor Mark Gould’s works on UQ eSpace

183 works between 1978 and 2022

1 - 20 of 183 works

2022

Journal Article

Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras

Gould, Mark D., Isaac, Phillip Simon and Werry, Jason (2022). Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras. Journal of Physics A: Mathematical and Theoretical, 55 (23) 235201, 235201. doi: 10.1088/1751-8121/ac6715

Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras

2022

Journal Article

Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy

Gould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8

Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy

2019

Journal Article

Invariants and matrix elements of the quantum group U<sub>q</sub>[gl(n, C)] revisited

Gould, Mark D. and Isaac, Phillip Simon (2019). Invariants and matrix elements of the quantum group Uq[gl(n, C)] revisited. Journal of Physics A: Mathematical and Theoretical, 52 (29) 295201, 295201. doi: 10.1088/1751-8121/ab2676

Invariants and matrix elements of the quantum group U<sub>q</sub>[gl(n, C)] revisited

2018

Journal Article

Fine-grained uncertainty relations under relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2018). Fine-grained uncertainty relations under relativistic motion. Europhysics Letters, 122 (6) 60001. doi: 10.1209/0295-5075/122/60001

Fine-grained uncertainty relations under relativistic motion

2017

Journal Article

Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond

Werry, Jason L., Isaac, Phillip S. and Gould, Mark D. (2017). Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond. Journal of Physics A: Mathematical and Theoretical, 50 (36) 365202, 365202. doi: 10.1088/1751-8121/aa8119

Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond

2015

Journal Article

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)

Werry, Jason L., Gould, Mark D. and Isaac, Phillip S. (2015). Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 56 (12) 121703, 121703-1-121703-19. doi: 10.1063/1.4938076

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)

2015

Journal Article

Uncertainty relation in Schwarzschild spacetime

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2015). Uncertainty relation in Schwarzschild spacetime. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 743, 198-204. doi: 10.1016/j.physletb.2015.02.058

Uncertainty relation in Schwarzschild spacetime

2015

Journal Article

Reduced matrix elements of the orthosymplectic Lie superalgebra

Gould, Mark D. and Isaac, Phillip S. (2015). Reduced matrix elements of the orthosymplectic Lie superalgebra. Journal of Physics A: Mathematical and Theoretical, 48 (2) 025201, 1-39. doi: 10.1088/1751-8113/48/2/025201

Reduced matrix elements of the orthosymplectic Lie superalgebra

2015

Conference Publication

Characteristic identities for Lie (super)algebras

Isaac, Phillip S., Werry, Jason L. and Gould, Mark D. (2015). Characteristic identities for Lie (super)algebras. 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent Belgium, 14-18 July, 2014. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/597/1/012045

Characteristic identities for Lie (super)algebras

2014

Journal Article

Probing Planckian physics in de Sitter space with quantum correlations

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D., Fan, Heng, Sun, Cheng-Yi and Yang, Wen-Li (2014). Probing Planckian physics in de Sitter space with quantum correlations. Annals of Physics, 351, 872-899. doi: 10.1016/j.aop.2014.10.014

Probing Planckian physics in de Sitter space with quantum correlations

2014

Journal Article

Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)

Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2014). Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 55 (011703) 011703, 011703.1-011703.32. doi: 10.1063/1.4861706

Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)

2013

Journal Article

Entropic uncertainty relations under the relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2013). Entropic uncertainty relations under the relativistic motion. Physics Letters B, 726 (1-3), 527-532. doi: 10.1016/j.physletb.2013.08.069

Entropic uncertainty relations under the relativistic motion

2013

Journal Article

Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)

Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2013). Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 54 (1) 013505, 013505. doi: 10.1063/1.4773573

Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)

2008

Journal Article

A definition for the covalent and ionic bond index in a molecule

Gould, Mark D., Taylor, Christopher, Wolff, Stephen K., Chandler, Graham S. and Jayatilaka, Dylan (2008). A definition for the covalent and ionic bond index in a molecule. Theoretical Chemistry Accounts, 119 (1-3), 275-290. doi: 10.1007/s00214-007-0282-x

A definition for the covalent and ionic bond index in a molecule

2008

Journal Article

Local quasitriangular Hopf algebras

Zhang, Shouchuan, Gould, Mark D. and Zhang, Yao-Zhong (2008). Local quasitriangular Hopf algebras. Symmetry, Integrability and Geometry: Methods and Applications, 4 042, 1-14. doi: 10.3842/SIGMA.2008.042

Local quasitriangular Hopf algebras

2007

Journal Article

Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]

Dancer, K. A., Gould, M. D. and Links, J. (2007). Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]. Algebras and Representation Theory, 10 (6), 593-617. doi: 10.1007/s10468-007-9049-2

Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]

2007

Journal Article

Finite matrix Model of Quantum Hall Fluids on S2

Chen, Y. X., Gould, M. D. and Zhang, Y. Z. (2007). Finite matrix Model of Quantum Hall Fluids on S2. Bulletin of the Australian Mathematical Society, 76 (1), 111-132. doi: 10.1017/S0004972700039502

Finite matrix Model of Quantum Hall Fluids on S2

2006

Journal Article

Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

Dancer, K. A., Gould, M. D. and Links, J. (2006). Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 2006 (6) P06011, P06011-1-P06011-19. doi: 10.1088/1742-5468/2006/06/P06011

Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

2006

Journal Article

Unitary R-matrices for topological quantum computing

Burton, P. J. and Gould, M. D. (2006). Unitary R-matrices for topological quantum computing. Reports on Mathematical Physics, 57 (1), 89-96. doi: 10.1016/S0034-4877(06)80010-8

Unitary R-matrices for topological quantum computing

2006

Journal Article

Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras

Mehta, M., Dancer, K. A., Gould, M. D. and Links, J. R. (2006). Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras. Journal of Physics A: Mathematical and General, 39 (1), L17-L26. doi: 10.1088/0305-4470/39/1/L03

Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras

Funding

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

Supervision

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

Media

Enquiries

Contact Emeritus Professor Mark Gould directly for media enquiries about:

  • Algebra
  • Chemistry - quantum
  • Mathematical physics
  • Physics - mathematical
  • Quantum chemistry

Need help?

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