Juliet Aygun

collaborators

2 papers

math.AG2026

Components of strata of k-differentials and their orbit closures

Paul Apisa, Juliet Aygun

We obtain a complete classification of components of strata of holomorphic and meromorphic k-differentials. We show that, when genus is at least two and outside of explicit excepti…

math.DS2025

Counting geodesics on prime-order $k$ -differentials

Juliet Aygun

We determine weak asymptotics of counting functions on generic surfaces in a component of a stratum of $k$ -differentials when $k$ is prime and genus is greater than $2$ . In order t…

Components of strata of k-differentials and their orbit closures

Counting geodesics on prime-order k-differentials

Counting geodesics on prime-order $k$ -differentials