43 citations · 190 across the 24 of their papers we have counts for
4 papers · 2 filters
The boundary of an affine invariant submanifold
Maryam Mirzakhani, Alex Wright
We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over…
From rational billiards to dynamics on moduli spaces
Alex Wright
This short expository note gives an elementary introduction to the study of dynamics on certain moduli spaces, and in particular the recent breakthrough result of Eskin, Mirzakhani…
Finiteness of Teichmüller curves in non-arithmetic rank 1 orbit closures
Erwan Lanneau, Duc-Manh Nguyen, Alex Wright
We show that in any non-arithmetic rank 1 orbit closure of translation surfaces, there are only finitely many Teichmüller curves. We also show that in any non-arithmetic rank 1 orb…
A smooth mixing flow on a surface with non-degenerate fixed points
Jon Chaika, Alex Wright
We construct a smooth, area preserving, mixing flow with finitely many non-degenerate fixed points and no saddle connections on a closed surface of genus 5. This resolves a problem…