Department of Mathematics

Columbia University

2990 Broadway

New York, NY 10027, USA

email:szhang@@math.columbia.edu

Office: 608 Mathematics

Phone: (212)854-6362

Fax: (212)854-8962

Algebraic Number Theory

           Tuesday and Thursday, 11am—12:15pm, Math 307

Joint Number Theory Seminar

Thursday, 5-7 pm, Columbia-CUNY-NYU

(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)

 quirépartition 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