14 citations · 98 across the 25 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2015
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…
math.DS2013★ 8 cited
Classification of higher rank orbit closures in H^{odd}(4)
David Aulicino, Duc-Manh Nguyen, Alex Wright
The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component H^{odd}(4) the only GL^+(2,R) orbit cl…
math.DS2013★ 10 cited
Non-Veech surfaces in H^hyp(4) are generic
Duc-Manh Nguyen, Alex Wright
We show that every surface in H^hyp(4) is either a Veech surface or a generic surface, i.e. its GL^+(2,R)-orbit is either a closed or a dense subset of H^hyp(4) . The proof develop…