Paul Norbury's home page

School of Mathematics and
Statistics
 University of Melbourne
 Australia 3010.
 Office: 170
 Email: norburyATunimelb.edu.au
 Phone: +61 3 83447163 Fax: +61 3 83444599
During 2019, I am visiting
Ludwig Maximilian Universität in Munich.
Research
My research interests are in geometry, particularly problems
motivated from mathematical physics. A common theme to my research is
various moduli space problems. My most recent papers are
Loop equations for GromovWitten invariants of P^{1}
which is joint with Gaëtan Borot, where we prove Virasoro equations for GromovWitten invariants of P^{1} using topological recursion. In
GromovWitten invariants of P^{1} coupled to a KdV tau function
we study GromovWittens of P^{1} coupled to a cohomology class on the moduli space of curves constructed in
A new cohomology class on the moduli space of curves.
We prove a Givental type decomposition for partition functions that arise out of topological recursion into products of KonstevichWitten and BrezinGrossWitten KdV tau functions in
Topological recursion with hard edges
which is joint with Leonid Chekhov.
Topological recursion on the Bessel curve
joint with Norman Do where we describe an analogue of the Airy curve which describes local irregular behaviour of spectral curves.
See my research interests and papers in the side menu for more.