## Zhang, Shou-Wu

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 Author ID: zhang.shou-wu Published as: Zhang, Shou-Wu; Zhang, Shouwu; Zhang, S. more...less Homepage: https://web.math.princeton.edu/~shouwu/ External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 47 Publications since 1992, including 1 Book 2 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 18 Co-Authors with 16 Joint Publications 607 Co-Co-Authors
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### Co-Authors

 21 single-authored 5 Yuan, Xinyi 4 Shaĭdurov, Vladimir Victorovich 3 Goldfeld, Dorian Morris 3 Zhang, Wei 2 Darmon, Henri René 2 Lapin, Aleksandr Vasil’evich 2 Shananin, Aleksandr Alekseevich 2 Tucker, Thomas John 1 Dautov, Rafail Z. 1 de Jong, Aise Johan 1 Elkik, Renee 1 Ghioca, Dragos 1 Han, Lei 1 Isakov, Victor M. 1 Ji, Lizhen 1 Jiang, Dihua 1 Kabanikhin, Sergeĭ Igorevich 1 Lapin, Serguei 1 Li, Jian-Shu 1 Liu, Yifeng 1 Martin-Deschamps, Mireille 1 Peskine, Christian 1 Shishlenin, Maxim Aleksandrovich 1 Szpiro, Lucien 1 Tian, Ye 1 Ullmo, Emmanuel 1 Vashchenko, M. P. 1 Yau, Shing-Tung 1 Zhang, Yi
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### Serials

 4 Inventiones Mathematicae 4 Annals of Mathematics. Second Series 4 Lobachevskii Journal of Mathematics 3 IMRN. International Mathematics Research Notices 3 The Asian Journal of Mathematics 2 International Journal of Modern Physics B 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Pure and Applied Mathematics Quarterly 2 Mathematical Sciences Research Institute Publications 2 Science China. Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 SIAM Journal on Numerical Analysis 1 Journal of the American Mathematical Society 1 Computational Mathematics and Mathematical Physics 1 Notices of the American Mathematical Society 1 Russian Mathematics 1 Journal of Algebraic Geometry 1 Documenta Mathematica 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Annals of Mathematics Studies
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### Fields

 31 Number theory (11-XX) 25 Algebraic geometry (14-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

37 Publications have been cited 853 times in 570 Documents Cited by Year
Positive line bundles on arithmetic varieties. Zbl 0861.14018
Zhang, Shouwu
1995
Small points and adelic metrics. Zbl 0861.14019
Zhang, Shouwu
1995
Heights and reductions of semi-stable varieties. Zbl 0924.11055
Zhang, Shouwu
1996
Heights of Heegner points on Shimura curves. Zbl 1036.11029
Zhang, Shouwu
2001
Equidistribution of small points on abelian varieties. Zbl 0991.11034
Zhang, Shou-Wu
1998
Admissible pairing on a curve. Zbl 0795.14015
Zhang, Shouwu
1993
Gross-Zagier formula for $$\text{GL}_ 2$$. Zbl 1111.11030
Zhang, Shou-Wu
2001
Equidistribution of small points. (Equirépartition des petits points.) Zbl 0991.11035
Szpiro, L.; Ullmo, E.; Zhang, S.
1997
The Gross-Zagier formula on Shimura curves. Zbl 1272.11082
Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei
2013
Distributions in algebraic dynamics. Zbl 1207.37057
Zhang, Shou-Wu
2006
Positive line bundles on arithmetic surfaces. Zbl 0788.14017
Zhang, Shouwu
1992
Gross-Schoen cycles and dualising sheaves. Zbl 1193.14031
Zhang, Shou-Wu
2010
Heights of Heegner cycles and derivatives of L-series. Zbl 0882.11029
Zhang, Shouwu
1997
Equidistribution of CM-points on quaternion Shimura varieties. Zbl 1096.14016
Zhang, Shou-Wu
2005
The arithmetic Hodge index theorem for adelic line bundles. Zbl 1372.14017
Yuan, Xinyi; Zhang, Shou-Wu
2017
Towards a dynamical Manin-Mumford conjecture. Zbl 1267.37110
Ghioca, Dragos; Tucker, Thomas J.; Zhang, Shouwu
2011
On the averaged Colmez conjecture. Zbl 1412.11078
Yuan, Xinyi; Zhang, Shou-Wu
2018
Genus periods, genus points and congruent number problem. Zbl 1441.11172
Tian, Ye; Yuan, Xinyi; Zhang, Shou-Wu
2017
Generic abelian varieties with real multiplication are not Jacobians. Zbl 1138.14027
de Jong, Johan; Zhang, Shou-Wu
2007
The Gross-Kohnen-Zagier theorem over totally real fields. Zbl 1235.11056
Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei
2009
A $$p$$-adic Waldspurger formula. Zbl 1444.11143
Liu, Yifeng; Zhang, Shouwu; Zhang, Wei
2018
Small points and Arakelov theory. Zbl 0912.14008
Zhang, Shou-Wu
1998
Distribution of almost division points. Zbl 0972.11053
Zhang, Shou-Wu
2000
The holomorphic kernel of the Rankin-Selberg convolution. Zbl 0991.11019
Goldfeld, Dorian; Zhang, Shouwu
1999
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
Gross-Zagier formula for $$\text{GL}_2$$. II. Zbl 1126.11026
Zhang, Shou-Wu
2004
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2017
Geometric reductivity at archimedean places. Zbl 0860.14007
Zhang, Shouwu
1994
Geometry of algebraic points. Zbl 1068.11044
Zhang, Shouwu
2001
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
Arithmetic of Shimura curves. Zbl 1273.11097
Zhang, Shou-Wu
2010
Periods and distribution of cycles on Hilbert modular varieties. Zbl 1171.11039
Jiang, Di-Hua; Li, Jian-Shu; Zhang, Shou-Wu
2006
Elliptic curves, $$L$$-functions, and CM-points. Zbl 1052.11044
Zhang, Shou-Wu
2001
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
2020
Linear forms, algebraic cycles, and derivatives of $$L$$-series. Zbl 1443.11077
Zhang, Shouwu
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
2018
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
2020
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
2019
Linear forms, algebraic cycles, and derivatives of $$L$$-series. Zbl 1443.11077
Zhang, Shouwu
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
On the averaged Colmez conjecture. Zbl 1412.11078
Yuan, Xinyi; Zhang, Shou-Wu
2018
A $$p$$-adic Waldspurger formula. Zbl 1444.11143
Liu, Yifeng; Zhang, Shouwu; Zhang, Wei
2018
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
2018
The arithmetic Hodge index theorem for adelic line bundles. Zbl 1372.14017
Yuan, Xinyi; Zhang, Shou-Wu
2017
Genus periods, genus points and congruent number problem. Zbl 1441.11172
Tian, Ye; Yuan, Xinyi; Zhang, Shou-Wu
2017
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2017
The Gross-Zagier formula on Shimura curves. Zbl 1272.11082
Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei
2013
Towards a dynamical Manin-Mumford conjecture. Zbl 1267.37110
Ghioca, Dragos; Tucker, Thomas J.; Zhang, Shouwu
2011
Gross-Schoen cycles and dualising sheaves. Zbl 1193.14031
Zhang, Shou-Wu
2010
Arithmetic of Shimura curves. Zbl 1273.11097
Zhang, Shou-Wu
2010
The Gross-Kohnen-Zagier theorem over totally real fields. Zbl 1235.11056
Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei
2009
Generic abelian varieties with real multiplication are not Jacobians. Zbl 1138.14027
de Jong, Johan; Zhang, Shou-Wu
2007
Distributions in algebraic dynamics. Zbl 1207.37057
Zhang, Shou-Wu
2006
Periods and distribution of cycles on Hilbert modular varieties. Zbl 1171.11039
Jiang, Di-Hua; Li, Jian-Shu; Zhang, Shou-Wu
2006
Equidistribution of CM-points on quaternion Shimura varieties. Zbl 1096.14016
Zhang, Shou-Wu
2005
Gross-Zagier formula for $$\text{GL}_2$$. II. Zbl 1126.11026
Zhang, Shou-Wu
2004
Heights of Heegner points on Shimura curves. Zbl 1036.11029
Zhang, Shouwu
2001
Gross-Zagier formula for $$\text{GL}_ 2$$. Zbl 1111.11030
Zhang, Shou-Wu
2001
Geometry of algebraic points. Zbl 1068.11044
Zhang, Shouwu
2001
Elliptic curves, $$L$$-functions, and CM-points. Zbl 1052.11044
Zhang, Shou-Wu
2001
Distribution of almost division points. Zbl 0972.11053
Zhang, Shou-Wu
2000
The holomorphic kernel of the Rankin-Selberg convolution. Zbl 0991.11019
Goldfeld, Dorian; Zhang, Shouwu
1999
Equidistribution of small points on abelian varieties. Zbl 0991.11034
Zhang, Shou-Wu
1998
Small points and Arakelov theory. Zbl 0912.14008
Zhang, Shou-Wu
1998
Equidistribution of small points. (Equirépartition des petits points.) Zbl 0991.11035
Szpiro, L.; Ullmo, E.; Zhang, S.
1997
Heights of Heegner cycles and derivatives of L-series. Zbl 0882.11029
Zhang, Shouwu
1997
Heights and reductions of semi-stable varieties. Zbl 0924.11055
Zhang, Shouwu
1996
Positive line bundles on arithmetic varieties. Zbl 0861.14018
Zhang, Shouwu
1995
Small points and adelic metrics. Zbl 0861.14019
Zhang, Shouwu
1995
Geometric reductivity at archimedean places. Zbl 0860.14007
Zhang, Shouwu
1994
Admissible pairing on a curve. Zbl 0795.14015
Zhang, Shouwu
1993
Positive line bundles on arithmetic surfaces. Zbl 0788.14017
Zhang, Shouwu
1992
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### Cited by 505 Authors

 27 Ghioca, Dragos 16 Tucker, Thomas John 10 Moriwaki, Atsushi 9 Habegger, Philipp 9 Longo, Matteo 9 Zhang, Shou-Wu 9 Zhang, Wei 8 Boucksom, Sébastien 8 de Jong, Robin 8 Favre, Charles 8 Gubler, Walter Bruno 8 Loi, Andrea 8 Sombra, Martín 8 Yuan, Xinyi 7 Burungale, Ashay A. 7 Masri, Riad 6 Bertolini, Massimo 6 Burgos Gil, José Ignacio 6 Darmon, Henri René 6 Howard, Benjamin 6 Philippon, Patrice 6 Yang, Tonghai 6 Zannier, Umberto M. 5 Bost, Jean-Benoît 5 Bruinier, Jan Hendrik 5 Cinkir, Zubeyir 5 D’Hoker, Eric 5 Gaudron, Éric 5 Hajli, Mounir 5 Hsia, Liang-Chung 5 Mabuchi, Toshiki 5 Seyyedali, Reza 5 Soulé, Christophe 5 Vigni, Stefano 5 Xie, Junyi 5 Yamaki, Kazuhiko 5 Zhang, De-Qi 5 Zuddas, Fabio 4 Baker, Matthew H. 4 Bombieri, Enrico 4 Chambert-Loir, Antoine 4 Chen, Huayi 4 Ghigi, Alessandro 4 Green, Michael B. 4 Guitart, Xavier 4 Jonsson, Mattias 4 Li, Chao 4 Michel, Philippe Gabriel 4 Petsche, Clayton 4 Pioline, Boris 4 Rémond, Gaël 4 Templier, Nicolas 4 Tian, Ye 4 Viada, Evelina 3 Andreatta, Fabrizio 3 Autissier, Pascal 3 Ballaÿ, François 3 Basu, Anirban 3 Benedetto, Robert L. 3 Berman, Robert J. 3 Bridy, Andrew 3 Castella, Francesc 3 Coates, John H. 3 Dang, Nguyen-Bac 3 Disegni, Daniel 3 Engliš, Miroslav 3 Frediani, Paola 3 Gao, Ziyang 3 Ikoma, Hideaki 3 Kawaguchi, Shu 3 Kohen, Daniel 3 Künnemann, Klaus 3 Li, Yongxiong 3 Liu, Xiaolei 3 Liu, Yifeng 3 Masdeu, Marc 3 Meng, Sheng 3 Mok, Chung Pang 3 Mossa, Roberto 3 Nguyen, Khoa Dang 3 Pierce, Lillian B. 3 Poonen, Bjorn 3 Prasanna, Kartik 3 Ross, Julius 3 Rotger, Victor 3 Rumely, Robert S. 3 Sano, Yuji 3 Scanlon, Thomas J. 3 Silverman, Joseph Hillel 3 Sirolli, Nicolás 3 Szpiro, Lucien 3 Venkatesh, Akshay 3 Yin, Hongbo 3 Young, Matthew P. 3 Zedda, Michela 3 Zuo, Kang 2 Amoroso, Francesco Antonio 2 Apostolov, Vestislav 2 Arezzo, Claudio 2 Banerjee, Debargha ...and 405 more Authors
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### Cited in 109 Serials

 49 Journal of Number Theory 34 Duke Mathematical Journal 28 Mathematische Annalen 26 Compositio Mathematica 25 Transactions of the American Mathematical Society 24 Inventiones Mathematicae 20 Mathematische Zeitschrift 19 Annals of Mathematics. Second Series 18 Journal für die Reine und Angewandte Mathematik 14 Advances in Mathematics 11 Annales de l’Institut Fourier 11 Journal of Algebraic Geometry 10 Mathematics of Computation 10 Algebra & Number Theory 9 The Journal of Geometric Analysis 9 Journal de Théorie des Nombres de Bordeaux 9 Journal of High Energy Physics 8 Manuscripta Mathematica 8 Proceedings of the American Mathematical Society 8 Journal of the American Mathematical Society 8 International Journal of Number Theory 8 Kyoto Journal of Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Research in Number Theory 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of the European Mathematical Society (JEMS) 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Canadian Mathematical Bulletin 4 Functiones et Approximatio. Commentarii Mathematici 4 Rendiconti del Seminario Matematico della Università di Padova 4 Forum Mathematicum 4 The Ramanujan Journal 4 Forum of Mathematics, Sigma 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Acta Arithmetica 3 Acta Mathematica Vietnamica 3 Journal of the Mathematical Society of Japan 3 Nagoya Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 Tôhoku Mathematical Journal. Second Series 3 Annals of Global Analysis and Geometry 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Expositiones Mathematicae 3 Experimental Mathematics 3 Documenta Mathematica 3 Communications in Contemporary Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Forum of Mathematics, Pi 3 Annales Mathématiques du Québec 3 Research in the Mathematical Sciences 2 Bulletin of the Australian Mathematical Society 2 Geometriae Dedicata 2 Mathematika 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Publicacions Matemàtiques 2 Geometric and Functional Analysis. GAFA 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 The New York Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Science China. Mathematics 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Bollettino dell’Unione Matematica Italiana 1 Mathematische Semesterberichte 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Dissertationes Mathematicae 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Probability Theory and Related Fields 1 Journal of Complexity 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Representation Theory 1 Conformal Geometry and Dynamics ...and 9 more Serials
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### Cited in 35 Fields

 391 Number theory (11-XX) 297 Algebraic geometry (14-XX) 85 Several complex variables and analytic spaces (32-XX) 64 Dynamical systems and ergodic theory (37-XX) 46 Differential geometry (53-XX) 10 Combinatorics (05-XX) 10 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Commutative algebra (13-XX) 7 Field theory and polynomials (12-XX) 7 Relativity and gravitational theory (83-XX) 5 Group theory and generalizations (20-XX) 5 Potential theory (31-XX) 4 Functions of a complex variable (30-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 General algebraic systems (08-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 $$K$$-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

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