Dr Thomas QUELLA

Senior Lecturer

School of Mathematics and Statistics

  • Room: 164
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Representation Theory and Applications
  • Conformal field theory, quantum integrable models
  • Topological states of matter, tensor network states
  • Lie (super) algebras, diagram algebras, quantum groups
  • Quantum many-body physics

Research Groups

Recent Publications

  • T. Quella, A Roy. Chiral Haldane phases of SU(N) quantum spin chains. Physical review B: Condensed matter and materials physics, 97, 2018. doi: 10.1103/PhysRevB.97.155148.

  • R Bondesan, T. Quella. Infinite dimensional matrix product states for long-range quantum spin models. Springer Proceedings in Mathematics and Statistics, 191, 337-347, 2016. doi: 10.1007/978-981-10-2636-2_22.

  • Roberto Bondesan, T. Quella. Infinite matrix product states for long-range SU(N) spin models. Nuclear Physics B, 886, 483-523, 2014. doi: 10.1016/j.nuclphysb.2014.07.002.

  • Roberto Bondesan, T. Quella. Topological and symmetry broken phases of Z(N) parafermions in one dimension. Journal of Statistical Mechanics - Theory and Experiment, 2013, P10024 (21pp), 2013. doi: 10.1088/1742-5468/2013/10/P10024.

  • Kasper Duivenvoorden, T. Quella. From symmetry-protected topological order to Landau order. Physical Review B, 88, 2013. doi: 10.1103/PhysRevB.88.125115.

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Current Postgraduate Supervision

Name Thesis title
Jiyuan ZHANG

Past Postgraduate Supervision

Name Thesis title
Tianshu LIU "Coset construction for the N=2 and osp(1/2) minimal models"
Steve SIU "Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules"

Past MSc Students

Name Project title


  • BSc Mathematical Physics Major Coordinator
  • Maths Physics Seminar Co-Ordinator
  • Vacation Scholarship Co-ordinator


  • Engagement and Publicity Committee
  • Postgraduate Programs Committee
  • Vacation Scholarship Committee