Publications

Full list of Publications:  MathSciNet

  • A square root of Hurwitz numbers
    ….. preprint
  •  A note on Gunningham’s formula
    ….. preprint
  • Spin Hurwitz numbers and the Gromov-Witten invariants of Kahler surfaces
    ….. Comm. Anal. Geom.  21 (2013), no. 5, 1015 – 1060 (with Thomas H. Parker)
  • Degree three spin Hurwitz numbers
    ….. Pacific J. Math. 263 (2013), no. 2, 399 — 417.
  • Local GW invariants of elliptic multiple fibers
    ….. Pure Appl. Math. Q. 8 (2012), no. 4, 929 – 940
  • Sum formulas for Local Gromov-Witten invariants of spin curves
    ….. Trans. Amer. Math. Soc. 365 (2013), 459 –490
  • An Obstruction bundle relating Gromov-Witten invariants of curves and Kahler surfaces
    ….. Amer. J. Math. 134 (2012), no. 2, 453 — 506 (with Thomas H. Parker)
  • Holomorphic 2-forms and vanishing theorems for Gromov-Witten invariants
    ….. Canad. Math. Bull. 52 (2009), no. 1, 87 — 94
  • A structure theorem for the Gromov-Witten invariants of Kahler surfaces
    ….. J. Differential Geom. 77 (2007), no. 3, 483 — 513 (with Thomas H. Parker)
  • Symplectic gluing and family Gromov-Witten invariants
    …..Geometry and Toplogy of Manifold, 147 — 172, Fields Inst. Commun. Vol 47 (2005) (with Thomas H. Parker)
  • Counting elliptic curves in K3 surfaces
    ….. J. Algebraic Geom. 15 (2006), no. 4, 591 — 601 (with N.C. Leung)
  • Yau-Zaslow formula on K3 surfaces for non-primitive classes
    ….. Geom. Topol. 9 (2005), no. 45, 1977 — 2012 (with N.C. Leung)
  • Counting curves in elliptic surfaces by symplectic methods
    ….. Comm. Anal. and Geom. 14 (2006), no. 1, 107 — 134
  • Family Gromov-Witten invariants for Kahler surfaces
    ….. Duke Math. J. 123 (2004), no. 1, 209 – 233