3 papers
math.GT2026
A tale of two volumes of moduli spaces: Weil-Petersson and Masur-Veech
Dawei Chen, Scott Mullane
Weil-Petersson and Masur-Veech volumes measure the sizes of moduli spaces of Riemann surfaces equipped with hyperbolic and flat metrics, respectively. Over the past several decades…
math.AG2025
Isoresidual fibrations and the birational geometry of moduli of pointed stable curves
Scott Mullane
We show that the pseudo-effective cone of divisors of is not polyhedral for by constructing an extremal non-polyhedral ray of the dual cone of moving…
math.AG2024
The Kodaira classification of the moduli of hyperelliptic curves
Ignacio Barros, Scott Mullane
We study the birational geometry of the moduli spaces of hyperelliptic curves with marked points. We show that these moduli spaces have non -factorial singularities. We…