6 citations · 17 across the 12 of their papers we have counts for
17 papers
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…
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…
Weil-Petersson volumes, stability conditions and wall-crossing
Lukas Anagnostou, Scott Mullane, Paul Norbury
In this paper we study Weil-Petersson volumes of the moduli spaces of conical hyperbolic surfaces. The moduli spaces are parametrised by their cone angles which naturally live insi…
Teichmüller curves in hyperelliptic components of meromorphic strata
Martin Möller, Scott Mullane
We provide a complete classification of Teichmüller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based o…
Definable structures on flat bundles
Benjamin Bakker, Scott Mullane
A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note we show these two structures coinci…
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…