Dr. Scott Mullane


Research


  • 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 (Journalpdf), Michigan Math. J. 67 (2018), 839–889)
  • Divisorial strata of abelian differentials (arXivJournal), International Mathematics Research Notices 6 (2017), 1717-1748.