14 citations · 84 across the 24 of their papers we have counts for
22 papers · 1 filter
The Hurwitz problem for abelian differentials
Julien Boulanger, Rodolfo Gutiérrez-Romo, Erwan Lanneau
Fix . Let be the maximal order of the translation group among all genus- abelian differentials. By work of Schlage-Puchta and Weitze-Schmithüsen, $\mat…
Trace field degrees in the Torelli group
Erwan Lanneau, Livio Liechti
We show that for , all integers arise as trace field degrees of pseudo-Anosov mapping classes in the Torelli group of the closed orientable surface of ge…
Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps
Erwan Lanneau, Livio Liechti, Chi Cheuk Tsang
We show that the stretch factor of an orientation-reversing fully-punctured pseudo-Anosov map on a finite-type orientable surface , with and having at…
Trace field degrees of Abelian differentials
Erwan Lanneau, Livio Liechti
We prove that every even number is realised as the degree of a Thurston-Veech pseudo-Anosov stretch factor in every connected component of every stratum of the mo…
Weierstrass Prym eigenforms in genus four
Erwan Lanneau, Duc-Manh Nguyen
We prove that for each discriminant , the corresponding Prym eigenform locus discovered by McMullen in the stratum is connec…
Geodesic length spectrum of hyperelliptic connected components
Corentin Boissy, Erwan Lanneau
We propose a general framework for studying pseudo-Anosov homeomorphisms on translation surfaces. This new approach, among other consequences, allows us to compute the systole of t…