Dr Phillip Isaac
Dr

Phillip Isaac

Email: 
Phone: 
+61 7 336 53267

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

Mathematical physics

Search Professor Phillip Isaac’s works on UQ eSpace

43 works between 1998 and 2024
All (43) Journal Article (37) Conference Publication (5) Other Outputs (1)

21 - 40 of 43 works

2014

Journal Article

On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

Lukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2014). On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system. Nuclear Physics B, 886, 364-398. doi: 10.1016/j.nuclphysb.2014.06.018

On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

2014

Journal Article

On realizations of polynomial algebras with three generators via deformed oscillator algebras

Isaac, Phillip S. and Marquette, Ian (2014). On realizations of polynomial algebras with three generators via deformed oscillator algebras. Journal of Physics A: Mathematical and Theoretical, 47 (20) 205203, 1-26. doi: 10.1088/1751-8113/47/20/205203

On realizations of polynomial algebras with three generators via deformed oscillator algebras

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

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)

2013

Conference Publication

Exactly solvable BCS-BEC crossover Hamiltonians

Birrell, A., Isaac, P. S. and Links, J. (2013). Exactly solvable BCS-BEC crossover Hamiltonians. The XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20-26 August 2012. Hackensack, NJ, United States: World Scientific. doi: 10.1142/9789814518550_0018

Exactly solvable BCS-BEC crossover Hamiltonians

2012

Journal Article

Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extension

Aizawa, Naruhiko, Isaac, Phillip S. and Kimura, Yuta (2012). Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extension. International Journal of Mathematics, 23 (11) 1250118, 1250118.1-1250118.25. doi: 10.1142/S0129167X12501182

Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extension

2012

Journal Article

A variational approach for the quantum inverse scattering method

Andrew Birrell, Isaac, Phillip and Links, Jon R. (2012). A variational approach for the quantum inverse scattering method. Inverse Problems, 28 (3) 035008, 035008.1-035008.15. doi: 10.1088/0266-5611/28/3/035008

A variational approach for the quantum inverse scattering method

2011

Journal Article

BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

Dunning, Clare, Isaac, Phillip S., Links, Jon and Zhao, Shao-You (2011). BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs. Nuclear Physics B, 848 (2), 372-397. doi: 10.1016/j.nuclphysb.2011.03.001

BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

2011

Journal Article

Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

Finch, P. E., Dancer, K. A., Isaac, P. S. and Links, J. (2011). Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras. Nuclear Physics Section B, 847 (2), 387-412. doi: 10.1016/j.nuclphysb.2011.01.034

Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

2011

Journal Article

On irreducible representations of the exotic conformal Galilei algebra

Aizawa, N and Isaac, PS (2011). On irreducible representations of the exotic conformal Galilei algebra. Journal of Physics A-Mathematical and Theoretical, 44 (3) 035401, 1-8. doi: 10.1088/1751-8113/44/3/035401

On irreducible representations of the exotic conformal Galilei algebra

2010

Journal Article

Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry

Campbell, C. W., Dancer, K. A., Isaac, P. S. and Links, J. (2010). Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry. Nuclear Physics, Section B, 836 (3), 171-185. doi: 10.1016/j.nuclphysb.2010.04.014

Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry

2009

Journal Article

Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry

Dancer, K. A., Finch, P. E., Isaac, P. S. and Links, J. (2009). Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry. Nuclear Physics B, 812 (3), 456-469. doi: 10.1016/j.nuclphysb.2008.12.002

Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry

2009

Journal Article

Assessment of an innovative system of lecture notes in first-year mathematics

Tonkes, E. J., Isaac, P. S. and Scharaschkin, V. (2009). Assessment of an innovative system of lecture notes in first-year mathematics. International Journal of Mathematical Education in Science and Technology, 40 (4), 495-504. doi: 10.1080/00207390902759592

Assessment of an innovative system of lecture notes in first-year mathematics

2009

Conference Publication

Introducing a group research project into a second-level mathematics course

Worsley, Susan, Bracken, Anthony, Hibberd, Katrina and Isaac, Phillip (2009). Introducing a group research project into a second-level mathematics course. UniServe Science Conference 2009, Sydney, NSW, Australia, 30 September - 2 October 2009. Sydney, NSW, Australia: UniServe Science.

Introducing a group research project into a second-level mathematics course

2007

Journal Article

Universal Baxterization for Z-graded Hopf algebras

Dancer, K. A., Finch, P. E. and Isaac, P. S. (2007). Universal Baxterization for Z-graded Hopf algebras. Journal of Physics A: Mathematical and Theoretical, 40 (50), F1069-F1075. doi: 10.1088/1751-8113/40/50/F01

Universal Baxterization for Z-graded Hopf algebras

2007

Journal Article

An algebraic approach to symmetric pre-monoidal statistics

Isaac, P. S., Joyce, W. P. and Links, J. (2007). An algebraic approach to symmetric pre-monoidal statistics. Journal of Algebra and Its Applications, 6 (1), 49-69. doi: 10.1142/S0219498807002065

An algebraic approach to symmetric pre-monoidal statistics

2006

Journal Article

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation

Dancer, K. A., Isaac, P. S. and Links, J. (2006). Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation. Journal of Mathematical Physics, 47 (10) 103511, 103511-1-103511-18. doi: 10.1063/1.2359575

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation

2005

Conference Publication

Ribbon structure in symmetric pre-monoidal categories

Wagner, L., Links, J. and Isaac, P. (2005). Ribbon structure in symmetric pre-monoidal categories. XXV International Colloquium on Group Theoretical Methods in, Cocoyoc, Mexico, 2-6 August, 2004. Bristol, U.K.: Institute of Physics Publishing.

Ribbon structure in symmetric pre-monoidal categories

2003

Journal Article

Weak Hopf algebras corresponding to U-q[sl(n)]

Aizawa, N and Isaac, PS (2003). Weak Hopf algebras corresponding to U-q[sl(n)]. Journal of Mathematical Physics, 44 (11), 5250-5267. doi: 10.1063/1.1616999

Weak Hopf algebras corresponding to U-q[sl(n)]

2001

Journal Article

On Quasi-Hopf Superalgebras

Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2001). On Quasi-Hopf Superalgebras. Communications in Mathematical Physics, 224 (2), 341-372. doi: 10.1007/s00220-001-0566-2

On Quasi-Hopf Superalgebras

Past funding

  • 2020 - 2024
    Quantum control designed from broken integrability
    ARC Discovery Projects
    Open grant
  • 2015 - 2019
    Unified theory of Richardson-Gaudin integrability
    ARC Discovery Projects
    Open grant
  • 2014 - 2016
    Constructive representation theory of classical and quantum Lie superalgebras
    ARC Discovery Projects
    Open grant
  • 2008 - 2009
    Mathematics of anyonic models.
    UQ Early Career Researcher
    Open grant

Availability

Dr Phillip Isaac is:
Available for supervision

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Supervision history

Current supervision

Completed supervision

Enquiries

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