Professor Paul NORBURY


School of Mathematics and Statistics

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

Research Interests

  • Mathematical Physics
  • Integrable systems
  • Minimal Surfaces
  • Algebraic geometry
  • Geometry & Topology

Research Groups

Recent Publications

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

  • P Dunin-Barkowski, P. Norbury, N Orantin, A Popolitov, S Shadrin. Dubrovin’s Superpotential as a Global Spectral Curve. Journal of the Institute of Mathematics of Jussieu, 1-49, 2017. doi: 10.1017/S147474801700007X.

  • Petr Dunin-Barkowski, M. Mulase, P. Norbury, Alexander Popolitov, Sergey Shadrin. Quantum spectral curve for the Gromov-Witten theory of the complex projective line. Journal fur die Reine und Angewandte Mathematik, 726, 267-289, 2017. doi: 10.1515/crelle-2014-0097.

  • Norman Do, O. Leigh, P. Norbury. Orbifold Hurwitz numbers and Eynard-Orantin invariants. Mathematical Research Letters, 23, 1281-1327, 2016. doi: 10.4310/MRL.2016.v23.n5.a3.

  • JE Andersen, LO Chekhov, P. Norbury, RC Penner. Topological recursion for Gaussian means and cohomological field theories. Theoretical and Mathematical Physics, 185, 1685-1717, 2015. doi: 10.1007/s11232-015-0373-0.

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Current Postgraduate Supervision

Name Thesis title
Wee CHAIMANOWONG "Nekrasor Partition Function and Frobrnius Manifolds."
Oliver LEIGH "Enumerative problems in algebraic geometry motivated from physics."

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"
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 "
Martin PIKE
Campbell WHEELER

Recent Grant History

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


  • Chair of Postgraduate Committee
  • Department Colloquia Coordinator
  • Faculty of Science Promotion Panel member for Level A to B
  • University of Melbourne School Maths Competition


  • Research and Industry Committee