
Overview
Background
Dr Phillip Isaac is a mathematician interested in algebraic structures, particularly those related to quantum integrable systems.
Phillip received his PhD in mathematics in May 2001 from UQ. The title of his thesis was "Quasi Hopf superalgebras and their dual structures".
He worked as a JAVA programmer/cryptographer for about 9 months before undertaking a postdoctoral research fellowship at the Graduate School of Mathematical Sciences, University of Tokyo, Japan. His project was entitled "Symmetries in quantum spin chains".
After his return to Australia in September 2003, he began casual employment at UQ, working as a first year tutor and developing course materials.
His current research activities involve developing the constructive representation theory of Lie (super)algebras, quantum groups and related structures, and its utility in application, particularly to quantum integrable systems.
Availability
- Dr Phillip Isaac is:
- Available for supervision
Fields of research
Works
Search Professor Phillip Isaac’s works on UQ eSpace
2001
Other Outputs
Quasi Hopf superalgebras and their dual structures
Isaac, Phillip S. (2001). Quasi Hopf superalgebras and their dual structures. PhD Thesis, School of Physical Sciences, The University of Queensland. doi: 10.14264/uql.2019.664
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
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.
Funding
Past funding
Supervision
Availability
- Dr Phillip Isaac is:
- Available for supervision
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Supervision history
Current supervision
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Doctor Philosophy
Quadratic Algebras and Their Casimir Invariant
Principal Advisor
Other advisors: Associate Professor Yao-zhong Zhang
-
Master Philosophy
On solutions to the classical Yang-Baxter equation
Principal Advisor
Other advisors: Associate Professor Jon Links
-
Doctor Philosophy
Quadratic Algebras and Their Casimir Invariant
Principal Advisor
Other advisors: Associate Professor Yao-zhong Zhang
-
Doctor Philosophy
Integrable Bosonic Networks
Associate Advisor
Other advisors: Associate Professor Jon Links
-
Doctor Philosophy
Integrable Bosonic Networks
Associate Advisor
Other advisors: Associate Professor Jon Links
-
Doctor Philosophy
Integrable Bosonic Networks
Associate Advisor
Other advisors: Associate Professor Jon Links
-
Master Philosophy
Integrable structure of central spin models and applications
Associate Advisor
Other advisors: Associate Professor Jon Links
Completed supervision
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2024
Master Philosophy
Gaudin superalgebras and commuting transfer matrices with gl(m|n) supersymmetry
Principal Advisor
Other advisors: Associate Professor Jon Links
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2023
Doctor Philosophy
On the Construction of Z2 × Z2- graded Lie colour algebras via Klein operators
Principal Advisor
Other advisors: Emeritus Professor Mark Gould
-
2018
Doctor Philosophy
On the construction of Casimir operators for non-semisimple Lie algebras
Principal Advisor
-
2025
Doctor Philosophy
Integrable Bosonic Networks
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2019
Doctor Philosophy
Bethe Ansatz analysis of the open and closed p + ip-pairing BCS models
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2016
Doctor Philosophy
Richardson-Gaudin models from the Boundary Quantum Inverse Scattering Method
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2015
Doctor Philosophy
Unitary Representation Theory of the Lie Superalgebra gl(m|n)
Associate Advisor
Other advisors: Emeritus Professor Mark Gould
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2010
Doctor Philosophy
Solutions to the Yang-Baxter equation and the Drinfield double of group algebras
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2010
Doctor Philosophy
Spectra of Transfer Matrices of Exactly Solvable Models with D(D3) Symmetry
Associate Advisor
Other advisors: Associate Professor Jon Links
-
2008
Doctor Philosophy
On the Construction of Braided Pre-monoidal Nonassociative Categories
Associate Advisor
Other advisors: Associate Professor Jon Links, Emeritus Professor Mark Gould
Media
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