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)

1 - 20 of 43 works

2024

Journal Article

An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras

Jones, Mitchell, Isaac, Phillip S. and Links, Jon (2024). An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras. Nuclear Physics B, 1008 116706, 116706-1008. doi: 10.1016/j.nuclphysb.2024.116706

An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras

2024

Journal Article

Occupancy probabilities in superintegrable bosonic networks

Bennett, Lachlan, Foerster, Angela, Isaac, Phillip S. and Links, Jon (2024). Occupancy probabilities in superintegrable bosonic networks. Nuclear Physics B, 998 116406, 116406. doi: 10.1016/j.nuclphysb.2023.116406

Occupancy probabilities in superintegrable bosonic networks

2024

Journal Article

A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators

Almutairi, Alhanouf M. and Isaac, Phillip S. (2024). A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators. Journal of Mathematical Physics, 65 (1) 013503. doi: 10.1063/5.0163904

A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators

2023

Journal Article

NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach

Bennett, Lachlan, Isaac, Phillip Simon and Links, Jon (2023). NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach. Journal of Physics A: Mathematical and Theoretical, 56 (50) 505202, 1-27. doi: 10.1088/1751-8121/ad0a71

NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach

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

2020

Journal Article

ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central Extensions

Aizawa, N., Isaac, P. S. and Segar, J. (2020). ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central Extensions. Reports on Mathematical Physics, 85 (3), 351-373. doi: 10.1016/S0034-4877(20)30041-0

ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central Extensions

2020

Journal Article

Ground-state energy of a Richardson-Gaudin integrable BCS model

Shen, Yibing, Isaac, Phillip and Links, Jon (2020). Ground-state energy of a Richardson-Gaudin integrable BCS model. SciPost Physics Core, 2 (1) 001. doi: 10.21468/scipostphyscore.2.1.001

Ground-state energy of a Richardson-Gaudin integrable BCS model

2020

Journal Article

The Z2×Z2-graded general linear Lie superalgebra

Isaac, Phillip S., Stoilova, N. I. and Van der Jeugt, Joris (2020). The Z2×Z2-graded general linear Lie superalgebra. Journal of Mathematical Physics, 61 (1) 011702, 011702. doi: 10.1063/1.5138597

The Z2×Z2-graded general linear Lie superalgebra

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

2019

Journal Article

Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representations

Aizawa, N., Isaac, P. S. and Segar, J. (2019). Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representations. Journal of Mathematical Physics, 60 (2) 023507, 023507. doi: 10.1063/1.5054699

Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representations

2019

Journal Article

On Casimir operators of conformal Galilei algebras

Alshammari, Fahad, Isaac, Phillip S. and Marquette, Ian (2019). On Casimir operators of conformal Galilei algebras. Journal of Mathematical Physics, 60 (1) 013509, 013509. doi: 10.1063/1.5064840

On Casimir operators of conformal Galilei algebras

2018

Journal Article

Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz

Shen, Yibing, Isaac, Phillip S. and Links, Jon (2018). Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz. Nuclear Physics B, 937, 28-55. doi: 10.1016/j.nuclphysb.2018.08.015

Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz

2018

Journal Article

Energy-level crossings and number-parity effects in a bosonic tunneling model

Agboola, Davids, Isaac, Phillip Simon and Links, Jon (2018). Energy-level crossings and number-parity effects in a bosonic tunneling model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (14) 145301, 145301. doi: 10.1088/1361-6455/aac6f2

Energy-level crossings and number-parity effects in a bosonic tunneling model

2018

Journal Article

A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras

Alshammari, Fahad, Isaac, Phillip S. and Marquette, Ian (2018). A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras. Journal of Physics A: Mathematical and Theoretical, 51 (6) 065206, 065206. doi: 10.1088/1751-8121/aaa468

A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras

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

2017

Journal Article

Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis

Rubeni, D., Links, J., Isaac, P. S. and Foerster, A. (2017). Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis. Physical Review A, 95 (4) 043607. doi: 10.1103/PhysRevA.95.043607

Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis

2016

Journal Article

An integrable case of the p + ip pairing Hamiltonian interacting with its environment

Lukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2016). An integrable case of the p + ip pairing Hamiltonian interacting with its environment. Journal of Physics A-Mathematical and Theoretical, 49 (8) 084001. doi: 10.1088/1751-8113/49/8/084001

An integrable case of the p + ip pairing Hamiltonian interacting with its environment

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

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

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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