43 citations · 190 across the 24 of their papers we have counts for
22 papers · 1 filter
The asymmetry of Thurston's earthquake flow
Francisco Arana-Herrera, Alex Wright
We show that Thurston's earthquake flow is strongly asymmetric in the sense that its normalizer is as small as possible inside the group of orbifold automorphisms of the bundle of…
High rank invariant subvarieties
Paul Apisa, Alex Wright
We classify GL(2,R) orbit closures of translation surfaces of rank at least half the genus plus 1.
Generalizations of the Eierlegende-Wollmilchsau
Paul Apisa, Alex Wright
We classify a natural collection of GL(2,R)-invariant subvarieties, which includes loci of double covers, the orbits of the Eierlegende-Wollmilchsau, Ornithorynque, and Matheus-Yoc…
Reconstructing orbit closures from their boundaries
Paul Apisa, Alex Wright
We introduce and study diamonds of GL(2,R)-invariant subvarieties of Abelian and quadratic differentials, which allow us to recover information on an invariant subvariety by simult…
The WYSIWYG compactification
Dawei Chen, Alex Wright
We show that the partial compactification of a stratum of Abelian differentials previously considered by Mirzakhani and Wright is not an algebraic variety. Despite this, we use a c…
A tour through Mirzakhani's work on moduli spaces of Riemann surfaces
Alex Wright
We survey Mirzakhani's work relating to Riemann surfaces, which spans about 20 papers. We target the discussion at a broad audience of non-experts.