Professor Paul NORBURY

Professor

School of Mathematics and Statistics

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

Research Interests

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

Research Groups

Recent Publications

  • 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.

  • 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.

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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 "
Justin KERNEY
Martin PIKE
Campbell WHEELER

Recent Grant History

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

Responsibilities

  • 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

Committees

  • Strategic Planning Committee