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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 involves various moduli space problems. My most recent papers are
Airy structures and deformations of curves in surfaces
which is joint with Wee Chaimanowong, Michael Swaddle and Mehdi Tavakol, where we analyse the deformation space of a curve in a symplectic surface using topological recursion.
Enumerative geometry via the moduli space of super Riemann surfaces
which uses a recursion between volumes of the moduli spaces of super hyperbolic surfaces due to Stanford and Witten to prove a relation between a natural collection of cohomology classes on the usual moduli space of curves with the KdV hierarchy.
JNR monopoles
which is joint with Michael Murray, where we show that different holomorphic descriptions of hyperbolic monopoles are rather explicit in the case that the mass of the monopole is 1/2. In
Loop equations for Gromov-Witten invariants of P1
which is joint with Gaëtan Borot, 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.
See my research interests and papers in the side menu for more.