98 citations · 327 across the 44 of their papers we have counts for
6 papers · 1 filter
Principal boundary of moduli spaces of abelian and quadratic differentials
Dawei Chen, Qile Chen
The seminal work of Eskin-Masur-Zorich described the principal boundary of moduli spaces of abelian differentials that parameterizes flat surfaces with a prescribed generic configu…
Spin and hyperelliptic structures of log twisted differentials
Dawei Chen, Qile Chen
Using stable log maps, we introduce log twisted differentials extending the notion of abelian differentials to the Deligne-Mumford boundary of stable curves. The moduli stack of lo…
Strata of -differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
A -differential on a Riemann surface is a section of the -th power of the canonical line bundle. Loci of -differentials with prescribed number and multiplicities of zeros…
Quasimodularity and large genus limits of Siegel-Veech constants
Dawei Chen, Martin Moeller, Don Zagier
Quasimodular forms were first studied in the context of counting torus coverings. Here we show that a weighted version of these coverings with Siegel-Veech weights also provides qu…
Compactification of strata of abelian differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We describe the closure of the strata of abelian differentials with prescribed type of zeros and poles, in the projectivized Hodge bundle over the Deligne-Mumford moduli space of s…
Teichmüller dynamics in the eyes of an algebraic geometer
Dawei Chen
This is an introduction to the algebraic aspect of Teichmüller dynamics, with a focus on its interplay with the geometry of moduli spaces of curves as well as recent advances in th…