Dr Phillip Isaac

Senior Lecturer

Faculty of Science
+61 7 336 53267


Dr Phillip Isaac is a mathematician who is interested in studying the algebraic structures underlying integrable models in statistical mechancs and other applications in physics.

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 compiling the initial version of the lecture workbook for MATH1051.

His current research activities involve finding solutions of the Yang-Baxter equation related to finite group algebras, associated integrable models and Bethe ansatz approach. He also maintains a healthy interest in the stucture and representation theory of Lie algebras, quantum groups, Quasi Hopf algebras, twisting (in the sense of Drinfeld) and other generalised algebraic structures.

Recently he has become interested in developing mathematical models of detonation theory, and more generally the study of travelling waves and their stability.


  • Doctor of Philosphy, The University of Queensland
  • BSc, The University of Queensland


View all Publications


View all Grants


  • (2018) Doctor Philosophy

  • Doctor Philosophy

  • Doctor Philosophy

View all Supervision


Journal Article

Conference Publication

  • Isaac, Phillip S., Werry, Jason L. and Gould, Mark D. (2015). Characteristic identities for Lie (super)algebras. In: Journal of Physics: Conference Series. 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent Belgium, (012045.1-012045.10). 14-18 July, 2014. doi:10.1088/1742-6596/597/1/012045

  • Worsley, Susan, Bracken, Anthony, Hibberd, Katrina and Isaac, Phillip (2009). Introducing a group research project into a second-level mathematics course. In: 2009 Conference Proceedings. UniServe Science Conference 2009, Sydney, NSW, Australia, (125-131). 30 September - 2 October 2009.

  • Wagner, L., Links, J. and Isaac, P. (2005). Ribbon structure in symmetric pre-monoidal categories. In: G. S. Pogosyan, L. E. Vicent and K. B. Wolf, Group Theoretical Methods in Physics. XXV International Colloquium on Group Theoretical Methods in, Cocoyoc, Mexico, (557-562). 2-6 August, 2004.

  • Gould, MD and Isaac, PS (1998). Quasi-Lie algebras and a method for determining non-degeneracy of the quasi-Lie product. In: Corney, SP, Delbourgo, R and Jarvis, PD, Group 22: Proceedings of the Xii International Colloquium On Group Theoretical Methods in Physics. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, (418-422). Jul 13-17, 1998.

Other Outputs

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

  • Doctor Philosophy — Principal Advisor

    Other advisors:

  • Doctor Philosophy — Associate Advisor

Completed Supervision