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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

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
Gromov-Witten invariants of P1 coupled to a KdV tau function
where 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.
Primary invariants of Hurwitz Frobenius manifolds
joint with Dunin-Barkowski, 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 Dunin-Barkowski, 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.