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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 Gromov-Witten invariants of P1
which is joint with Gaëtan Borot, where we prove Virasoro equations for Gromov-Witten invariants of P1 using topological recursion. In
Gromov-Witten invariants of P1 coupled to a KdV tau function
we study Gromov-Wittens of P1 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 Konstevich-Witten and Brezin-Gross-Witten 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.