Math Department Faculty

Dawei Chen

Professor

Journal Publications

  • Affine geometry of strata of differentials (pdf), preprint.
  • Principal boundary of moduli spaces of abelian and quadratic differentials (with ) (pdf), preprint.
  • Strata of k-differentials (with , , , and ) (pdf), preprint.
  • Spin and hyperelliptic structures of log twisted differentials (with ) (pdf), preprint.
  • Quasimodularity and large genus limits of Siegel-Veech constants (with and ) (pdf), preprint.
  • Compactification of strata of abelian differentials (with , , , and ) (pdf), preprint.
  • Surfaces with big anticanonical class (with ) (pdf), preprint.
  • Degenerations of Abelian differentials (pdf),
    J. Diff. Geom., to appear.
  • Teichm眉ller dynamics in the eyes of an algebraic geometer (pdf),
    Algebraic Geom. Bootcamp Vol. (2015), to appear.
  • Extremality of loci of hyperelliptic curves with marked Weierstrass points (with ) (pdf),
    Algebra Number Theory 10 (2016), no. 9, 1935-1948.
  • Loci of curves with subcanonical points in low genus (with ) (pdf),
    Math. Z. 284 (2016), no. 3-4, 683-714.
  • Extremal effective divisors of Brill-Noether and Gieseker-Petri type in M_{1,n} (with ) (pdf),
    Adv. Geom. 16 (2016), no. 2, 231-242.
  • Moduli of generalized line bundles on a ribbon (with ) (pdf),
    J. Pure Appl. Algebra 220 (2016), no. 2, 822-844.
  • Extremal higher codimension cycles on moduli spaces of curves (with ) (pdf),
    Proc. London Math. Soc. (3) 111 (2015), no. 1, 181-204.
  • Orbit closures in Teichm眉ller dynamics and extremal cycles in algebraic geometry (pdf),
    Oberwolfach Rep. 11 (2014), no. 1.
  • Quadratic differentials in low genus: exceptional and non-varying strata (with ) (pdf),
    Ann. Sci. 脡c. Norm. Sup茅r. (4) 47 (2014), no. 2, 309-369.
  • Extremal effective divisors on the moduli space of n-pointed genus one curves (with ) (pdf),
    Math. Ann. 359 (2014), no. 3-4, 891-908.
  • Effective divisors on moduli spaces of curves and abelian varieties (with and ) (pdf),
    Clay Math. Proc. 18 (2013), 131-169.
  • Strata of abelian differentials and the Teichm眉ller dynamics (pdf),
    J. Mod. Dyn. 7 (2013), no. 1, 135-152.
  • Covers of the projective line and the moduli space of quadratic differentials (pdf),
    Geom. Dedicata 163 (2013), no. 1, 105-125.
  • Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus (with ) (pdf),
    Geom. Topol. 16 (2012), no. 4, 2427-2479.
  • Detaching embedded points (with ) (pdf),
    Algebra Number Theory 6 (2012), no. 4, 731-756.
  • Towards Mori's program for the moduli space of stable maps (with and an appendix by ) (pdf),
    Amer. J. Math. 133 (2011), no. 5, 1389-1419.
  • Geometry of Teichm眉ller curves (pdf),
    Oberwolfach Rep. 8 (2011), no. 2.
  • Square-tiled surfaces and rigid curves on moduli spaces (pdf),
    Adv. Math. 228 (2011), no. 2, 1135-1162.
  • Hilbert scheme of a pair of codimension two linear subspaces (with and ) (pdf),
    Comm. Algebra 39 (2011), no. 8, 3021-3043.
  • Covers of elliptic curves and the moduli space of stable curves (pdf),
    J. Reine Angew. Math. 649 (2010), 167-205.
  • Stable base locus decompositions of Kontsevich moduli spaces (with ) (pdf),
    Michigan Math. J. 59 (2010), no. 2, 435-466.
  • Linear series on ribbons (pdf),
    Proc. Amer. Math. Soc. 138 (2010), no. 11, 3797-3805.
  • On the dimension of the Hilbert scheme of curves (pdf),
    Math. Res. Lett. 16 (2009), no. 6, 941-954.
  • Mori's program for the Kontsevich moduli space (pdf),
    Int. Math. Res. Not. (2008), rnn 067, 17 pp.
  • Covers of elliptic curves and the lower bound for slopes of effective divisors on the moduli space of curves (pdf),
    Ph.D. Thesis, Harvard University, 2008.
  • My papers are also available on . See above for updated versions.