Preprints

Calabi theorem and algebraic dynamics (with Xinyi Yuan)

Arithmetic of Shimura curves (Lecture notes at CRM in Barcelona)

Heights of CM points I: Gross--Zagier formula (with Xinyi Yuan and Wei Zhang)

Publications (files here are slightly different than their published versions)

Gross--Schoen cycles and Dualising sheaves

Invent. Math., Volume 179, Number 1 / January, 2010, 1-73

(with Xinyi Yuan and Wei Zhang) The Gross--Kohnen--Zagier Theorem over Totally Real Fields

Compositio Math. 145 (2009), 1147-1162.

(with de Jong) Generic Abelian varieties with Real Multiplication are not Jacobians

Diophantine Geometry Proceedings ( edited by Umberto Zannier), CRM Series 4

Scoula Normale Pisa (2007)

Distributions in Algebraic Dynamics, A tribute to ProfessorS. –S. Chern,

Survey in Differential Geometry, vol 10, 381-430, International Press 2006

(with Dihua Jiang and Jianshu Li) Periods and distribution of cycles on Hilbert modular varieties. Pure Appl. Math. Q. 2 (2006), no. 1, 219--277.

Equidistribution of CM-points on quaternion Shimura varieties. Int. Math. Res. Not. 2005, no. 59, 3657--3689.

Gross-Zagier formula for GL(2). II. Heegner points and

Rankin L-series, 191--214, Math. Sci. Res. Inst. Publ., 49,

Cambridge Univ. Press, Cambridge, 2004.

Heegner points and Rankin L-series. Papers from the

Workshop on Special Values of Rankin L-Series held in

Berkeley, CA, December 2001. Edited by Henri Darmon and

Shou-Wu Zhang. Mathematical Sciences Research Institute

Publications, 49. Cambridge University Press, Cambridge,

2004. xiv+367 pp. ISBN: 0-521-83659-X

Elliptic curves, L-functions, and CM-points. Current

developments in mathematics, 2001, 179--219, Int.

Press, Somerville, MA, 2002.

Gross-Zagier formula for GL(2) Asian. J. Math. 5 (2001),

no. 2, 183--290.

Geometry of algebraic points. First International Congress

of Chinese Mathematicians (Beijing, 1998), 185--198,

AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc.,

Providence, RI, 2001.

Heights of Heegner points on Shimura curves.

Ann. of Math. (2) 153 (2001), no. 1, 27--147.

Distribution of almost division points. Duke Math. J.

103 (2000), no. 1, 39--46.

(with Dorian Goldfeld)

The holomorphic kernel of the Rankin-Selberg convolution.

Asian J. Math. 3 (1999), no. 4, 729--747.

Small points and Arakelov theory. Proceedings of the

International Congress of Mathematicians, Vol. II (Berlin, 1998).

Doc. Math. 1998, Extra Vol. II, 217--225 (electronic).

Equidistribution of small points on abelian varieties.

Ann. of Math. (2) 147 (1998), no. 1, 159--165.

Heights of Heegner cycles and derivatives of L-series.

Invent. Math. 130 (1997), no. 1, 99--152.

(with Lucien Szpiro and Emmanuel Ullmo)

Équirépartition des petits points. Invent. Math.

127 (1997), no. 2, 337--347.

Heights and reductions of semi-stable varieties.

Compositio Math. 104 (1996), no. 1, 77--105.

Small points and adelic metrics. J. Algebraic Geom.

4 (1995), no. 2, 281--300.

Positive line bundles on arithmetic varieties. J. Amer. Math. Soc.

8 (1995), no. 1, 187--221.

Geometric reductivity at Archimedean places.

Internat. Math. Res. Notices 1994, no. 10, 425 ff.,

approx. 9 pp. (electronic).

Admissible pairing on a curve. Invent. Math.

112 (1993), no. 1, 171--193.

Positive line bundles on arithmetic surfaces.

Ann. of Math. (2) 136 (1992), no. 3, 569--587.

Gerd Faltings, Lectures on the arithmetic Riemann-Roch theorem.

Notes taken by Shouwu Zhang.

Annals of Mathematics Studies, 127. Princeton University Press,

Princeton, NJ, 1992. x+100 pp.

ISBN: 0-691-08771-7; 0-691-02544-4