
Overview
Availability
- Emeritus Professor Mark Gould is:
- Available for supervision
- Media expert
Fields of research
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Funding
Current funding
Supervision
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
-
2015
Doctor Philosophy
Unitary Representation Theory of the Lie Superalgebra gl(m|n)
Principal Advisor
Other advisors: Dr Phillip Isaac
-
-
2008
Doctor Philosophy
Quasi-Hopf Star Superalgebras
Principal Advisor
Other advisors: Associate Professor Jon Links
-
2005
Doctor Philosophy
SOLUTIONS TO THE YANG-BAXTER EQUATION AND CASIMIR INVARIANTS FOR THE QUANTISED ORTHOSYMPLECTIC SUPERALGEBRA
Principal Advisor
Other advisors: Associate Professor Jon Links
-
2024
Doctor Philosophy
Mathematical Modelling of the Evolution of Post-Menopausal Longevity amongst Humans
Associate Advisor
Other advisors: Dr Zoltan Neufeld
-
2023
Doctor Philosophy
On the Construction of Z2 × Z2- graded Lie colour algebras via Klein operators
Associate Advisor
Other advisors: Dr Phillip Isaac
-
2008
Doctor Philosophy
On the Construction of Braided Pre-monoidal Nonassociative Categories
Associate Advisor
Other advisors: Associate Professor Jon Links, Dr Phillip Isaac
-
2005
Doctor Philosophy
SOME COMPUTATIONAL AND GEOMETRIC ASPECTS OF GENERALIZED WEYL ALGEBRAS
Associate Advisor
-
2005
Doctor Philosophy
The Ladder Operator Approach to Constructing Conserved Operators in Integrable One-Dimensional Lattice Models
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2004
Doctor Philosophy
BOUNDS ON INTEGRALS OF THE WIGNER FUNCTION
Associate Advisor
-
2003
Doctor Philosophy
AN ANALYSIS OF TWISTING DIVES
Associate Advisor
-
Media
Enquiries
Contact Emeritus Professor Mark Gould directly for media enquiries about:
- Algebra
- Chemistry - quantum
- Mathematical physics
- Physics - mathematical
- Quantum chemistry
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