Goethe-Universität — Dr. Scott Mullane

Summer Semester 2021: Lecture Flat Surfaces

Non-polyhedral effective cones from the moduli space of curves (arXiv)
Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces (arXiv)
k-differentials on curves and rigid cycles in moduli space (arXiv)
Two moduli spaces of Calabi-Yau type, with Ignacio Barros, International Mathematics Research Notices (arXiv) (to appear)
Cones of effective cycles in the moduli space of curves, Oberwolfach Reports (pdf) (to appear)
On the effective cone of higher codimension cycles in the moduli space of marked genus g curves, Mathematische Zeitschrift (arXiv) (to appear)
On the effective cone of the moduli space of marked genus g curves (arXiv), Advances in Mathematics 320 (2017), 500-519.
Effective divisors in the moduli space of marked genus g curves from abelian differentials (Journal, pdf), Michigan Math. J. 67 (2018), 839–889)
Divisorial strata of abelian differentials (arXiv, Journal), International Mathematics Research Notices 6 (2017), 1717-1748.