Scott Mullane

activity

20142019

M_{g, n}

6 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.AG2019

$k$ -differentials on curves and rigid cycles in moduli space

Scott Mullane

For $g \geq 2$ , $j = 1, \dots, g$ and $n \geq g + j$ we exhibit infinitely many new rigid and extremal effective codimension $j$ cycles in $M_{g, n}$ from the strata of…

math.AG2017★ 6 cited

On the effective cone of $M_{g, n}$

Scott Mullane

For every $g \geq 2$ and $n \geq g + 1$ we exhibit infinitely many extremal effective divisors in $M_{g, n}$ coming from the strata of abelian differentials.

math.AG2016★ 1 cited

Effective divisors in $M_{g, n}$ from abelian differentials

Scott Mullane

We compute many new classes of effective divisors in $M_{g, n}$ coming from the strata of abelian differentials and efficiently reproduce many known results obt…

math.NT2014

Cohomological vanishing on Siegel modular varieties and applications to lifting Siegel modular forms

Alexandru Ghitza, Scott Mullane

We use vanishing results for sheaf cohomology on Siegel modular varieties to study two lifting problems: (a) When can Siegel modular forms (mod p) be lifted to characteristic zero?…

k-differentials on curves and rigid cycles in moduli space

On the effective cone of Mg,n​

Effective divisors in Mg,n​ from abelian differentials

Cohomological vanishing on Siegel modular varieties and applications to lifting Siegel modular forms

$k$ -differentials on curves and rigid cycles in moduli space

On the effective cone of $M_{g, n}$

Effective divisors in $M_{g, n}$ from abelian differentials