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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

Teaching

Semester 2, 2024:

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
Combinatorics and large genus asymptotics of the Brézin-Gross-Witten numbers
which is joint with Jindong Guo, Di Yang and Don Zagier, where we prove asymptotic behaviour of normalised coefficients of the BGW tau function, and conjecture monotonicity and clustering behaviour of these coefficients.
Super volumes and KdV tau functions
which is joint with Alexander Alexandrov, where we prove that super volumes with Ramond points satisfy the Stanford-Witten recursion.
Super Weil-Petersson measures on the moduli space of curves
which defines a family of finite measures on the moduli space of smooth curves with marked points. The measures are defined via a construction analogous to that of the Weil-Petersson metric using the extra data of a spin structure.
Weil-Petersson volumes, stability conditions and wall-crossing
which is joint with Lukas Anagnostou and Scott Mullane, where we prove a wall-crossing formula for volumes of moduli spaces of hyperbolic surfaces with cone angles. See my research interests and papers in the side menu for more.