School of Mathematics and Statistics

  • Room: 170
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Gauge Theory
  • Mathematical Physics
  • Algebraic geometry
  • Moduli spaces

Research Groups

Recent Publications

  • L Chekhov, P. Norbury. Topological recursion with hard edges. International Journal of Mathematics, 1950014 (29pp), 2019. doi: 10.1142/S0129167X19500149.

  • N. Do, P. Norbury. Topological recursion on the Bessel curve. Communications in Number Theory and Physics, 12, 53-73, 2018. doi: 10.4310/CNTP.2018.v12.n1.a2.

  • N. Do, P. Norbury. Pruned hurwitz numbers. Transactions of the American Mathematical Society, 370, 3053-3084, 2018. doi: 10.1090/tran/7021.

  • N. Do, P. Norbury. Topological recursion for irregular spectral curves. Journal of the London Mathematical Society, 97, 398-426, 2018. doi: 10.1112/jlms.12112.

  • Y. Huang, P. Norbury. Simple geodesics and Markoff quads. Geometriae Dedicata, 186, 113-148, 2017. doi: 10.1007/s10711-016-0182-0.

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Current Postgraduate Supervision

Name Thesis title
Wee CHAIMANOWONG "Nekrasor Partition Function and Frobrnius Manifolds."

Past Postgraduate Supervision

Name Thesis title
Joseph CHAN "On Hyperbolic Monopoles"
Norman DO "Intersection theory on moduli spaces of curves via hyperbolic geometry"
Thomas HANDSCOMB "Characteristic classes of surface bundles and Lefschetz fibrations"
Yi HUANG "Moduli spaces of surfaces"
Oliver LEIGH "Enumerative problems in algebraic geometry motivated from physics"
Nicky SCOTT "Polynomial hierarchies generated by Eynard-Orantin invariants"
Callum SLEIGH "Eynard-Orantin Theory of the A-Polynomial"
TriThang TRAN "A configuration of homological stability results"

Past MSc Students

Name Project title
Dougal DAVIS
Yi HUANG "Moduli Spaces and Weil-Petersson Volumes "
Jayson LIU
Martin PIKE
Campbell WHEELER

Recent Grant History

Year(s) Source Type Title
2010 - 2012 ARC Discovery Moduli spaces


  • Chair of Postgraduate Committee
  • Completion Seminar Coordinator
  • Department Colloquia Coordinator
  • Faculty of Science Research and Industry Committee member
  • Maths & Stats Colloquium Coordinator
  • Maths and Stats Colloquia
  • University of Melbourne School Maths Competition


  • Strategic Planning Committee