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
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
GromovWitten invariants of P^{1} coupled to a KdV tau function
where 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.
Primary invariants of Hurwitz Frobenius manifolds
joint with DuninBarkowski, Orantin, Popolitov, Shadrin where we obtain the primary invariants of a Hurwitz Frobenius manifold via periods of a differential along cycles on the domain curve, generalising the construction of flat coordinates via periods.
Dubrovin's superpotential as a global spectral curve
joint with DuninBarkowski, Orantin, Popolitov, Shadrin where we apply topological recursion to a spectral curve produced from any conformal Frobenius manifold
via a construction of Dubrovin.
See my research interests and papers in the side menu for more.