Paul Norbury's home page
School of Mathematics and
- University of Melbourne
- Australia 3010.
- Office: 170
- Email: norburyATunimelb.edu.au
- Phone: +61 3 83447163
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
Volumes of moduli spaces of hyperbolic surfaces with cone points
which is joint with Lukas Anagnostou, where we calculate volumes of noduli spaces of hyperbolic surfaces with cone angles.
Polynomial relations among kappa classes on the moduli space of curves
which is joint with Maxim Kazarian, where we construct a collection of polynomials in kappa classes on the moduli space of stable curves which conjecturally vanish, and would give new relations in the Chow ring.
An intersection-theoretic proof of the Harer-Zagier formula
which is joint with Alessandro Giacchetto and Danilo Lewanski, where we prove a formula for the Euler characteristic of the moduli space of smooth curves in terms of Hodge integrals.
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.
See my research interests and papers in the side menu for more.