98 citations · 327 across the 44 of their papers we have counts for
45 papers
A tale of two volumes of moduli spaces: Weil-Petersson and Masur-Veech
Dawei Chen, Scott Mullane
Weil-Petersson and Masur-Veech volumes measure the sizes of moduli spaces of Riemann surfaces equipped with hyperbolic and flat metrics, respectively. Over the past several decades…
Counting differentials with fixed residues
Dawei Chen, Miguel Prado
We investigate the count of meromorphic differentials on the Riemann sphere possessing a single zero, multiple poles with prescribed orders, and fixed residues at each pole. Gendro…
Filtration and splitting of the Hodge bundle on the non-varying strata of quadratic differentials
Dawei Chen, Fei Yu
We describe the Harder--Narasimhan filtration of the Hodge bundle for Teichmüller curves in the non-varying strata of quadratic differentials appearing in [CM2]. Moreover, we show…
Period realization of meromorphic differentials with prescribed invariants
Dawei Chen, Gianluca Faraco
We provide a complete description of realizable period representations for meromorphic differentials on Riemann surfaces with prescribed orders of zeros and poles, hyperelliptic st…
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +2
Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~Möller, from the viewpoint of flat and complex geometry, for the purpose of…
Nonvarying, affine, and extremal geometry of strata of differentials
Dawei Chen
We prove that the nonvarying strata of abelian and quadratic differentials in [CM1, CM2] have trivial tautological rings and are affine varieties. We also prove that strata of -…