Effective divisors in $\overline{\mathcal{M}}_{g,n}$ from abelian   differentials
  We compute many new classes of effective divisors in $\overline{\mathcal{M}}_{g,n}$ coming from the strata of abelian differentials and efficiently reproduce many known results obtained by alternate methods. Our method utilises maps between moduli spaces and the degeneration of abelian differentials. 
Scott Mullane
math.AG math.DS math.GT