Edit Profile (opens in new tab) Chai, Chingli Co-Author Distance Author ID: chai.chingli Published as: Chai, Ching-Li; Chai, Chingli; Chai, C. L. more...less Documents Indexed: 45 Publications since 1985, including 3 Books 2 Contributions as Editor · 3 Further Contributions Co-Authors: 12 Co-Authors with 26 Joint Publications 346 Co-Co-Authors all top 5 Co-Authors 22 single-authored 13 Oort, Frans 3 Li, Wen-Ch’ing Winnie 3 Neeman, Amnon 2 Conrad, Brian 2 Faltings, Gerd 2 Mumford, David Bryant 2 Norman, Peter 2 Shiota, Takahiro 1 Achter, Jeffrey D. 1 Andreatta, Fabrizio 1 Bary-Soroker, Lior 1 Bhatt, Bhargav 1 Cassou-Noguès, Philippe 1 Cheng, Qing-Meng 1 Chinburg, Ted 1 Esnault, Hélène 1 Fu, Baohua 1 Gross, Benedict Hyman 1 Harashita, Shushi 1 Harbater, David 1 Hu, Jiaxin 1 Ji, Lizhen 1 Kappen, Christian 1 Katsura, Toshiyuki 1 Larsen, Michael Jeffrey 1 Lin, Chang-Shou 1 Liu, Kefeng 1 Luo, Feng 1 Morin, Baptiste 1 Pries, Rachel J. 1 Shiho, Atsushi 1 Taylor, Martin J. 1 Wang, Chin-Lung 1 Wang, Xu-Jia 1 Wei, Wun-cheng 1 Yau, Horng-Tzer 1 Yau, Shing-Tung 1 Yu, Chia-Fu 1 Yu, Jiu-Kang 1 Zhang, Wei 1 Zieve, Michael E. all top 5 Serials 4 Annals of Mathematics. Second Series 3 American Journal of Mathematics 3 The Asian Journal of Mathematics 2 Forum Mathematicum 2 Taiwanese Journal of Mathematics 2 Pure and Applied Mathematics Quarterly 2 ICCM Notices 2 Algebraic Geometry 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 London Mathematical Society Lecture Note Series 1 Mathematical Surveys and Monographs 1 Cambridge Journal of Mathematics 1 Springer Collected Works in Mathematics all top 5 Fields 47 Algebraic geometry (14-XX) 31 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 669 times in 555 Documents Cited by ▼ Year ▼ Degeneration of abelian varieties. Zbl 0744.14031 Faltings, Gerd; Chai, Ching-Li 301 1990 Mean field equations, hyperelliptic curves and modular forms. I. Zbl 1327.35116 Chai, Ching-Li; Lin, Chang-Shou; Wang, Chin-Lung 53 2015 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 34 2014 Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli. Zbl 0990.11039 Chai, Ching-Li 30 1995 Appendix to “The Iwasawa conjecture for totally real fields” by A.Wiles: Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces. Zbl 0754.14030 Chai, C.-L. 27 1990 Compactification of Siegel moduli schemes. Zbl 0578.14009 Chai, Ching-Li 24 1985 Newton polygons as lattice points. Zbl 1057.11506 Chai, Ching-Li 22 2000 Congruences of Néron models for tori and the Artin conductor. Zbl 1098.14014 Chai, Ching-Li; Yu, Jiu-Kang 18 2001 Bad reduction of the Siegel moduli scheme of genus two with \(\Gamma_ 0(p)\)-level structure. Zbl 0734.14010 Chai, Ching-Li; Norman, Peter 15 1990 Néron models for semiabelian varieties: congruence and change of base field. Zbl 1100.14511 Chai, Ching-Li 15 2000 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 13 2011 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 Hecke orbits on Siegel modular varieties. Zbl 1143.14021 Chai, Ching-Li 12 2005 Moduli of abelian varieties and \(p\)-divisible groups. Zbl 1188.14028 Chai, Ching-Li; Oort, Frans 10 2009 Singularities of the \(\Gamma_ 0(p)\)-level structure. Zbl 0785.14001 Chai, Ching-Li; Norman, Peter 10 1992 A rigidity result for \(p\)-divisible formal groups. Zbl 1153.14030 Chai, Ching-Li 10 2008 Monodromy of Hecke-invariant subvarieties. Zbl 1140.11031 Chai, Ching-Li 10 2005 Hypersymmetric Abelian varieties. Zbl 1156.14320 Chai, Ching-Li; Oort, Frans 10 2006 Hecke orbits as Shimura varieties in positive characteristic. Zbl 1096.14039 Chai, Ching-Li 9 2006 Methods for \(p\)-adic monodromy. Zbl 1140.14019 Chai, Ching-Li 7 2008 Character sums, automorphic forms, equidistribution, and Ramanujan graphs. II: Eigenvalues of Terras graphs. Zbl 1065.11047 Chai, Ching-Li; Li, Wen-Ching Winnie 6 2004 A note on Manin’s theorem of the kernel. Zbl 0759.14017 Chai, Ching-Li 6 1991 Siegel moduli schemes and their compactifications over \(\mathbb C\). Zbl 0603.14027 Chai, Chingli 6 1986 Character sums, automorphic forms, equidistribution, and Ramanujan graphs. I: The Kloosterman sum conjecture over function fields. Zbl 1038.11038 Chai, Ching-Li; Li, Wen-Ching Winnie 6 2003 The group action on the closed fiber of the Lubin-Tate moduli space. Zbl 0864.14028 Chai, Ching-Li 5 1996 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 5 2001 Density of members with extra Hodge cycles in a family of Hodge structures. Zbl 0947.14004 Chai, Ching-Li 4 1998 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 4 2019 The period matrices and theta functions of Riemann. Zbl 1355.14024 Chai, Ching-Li 3 2016 Local monodromy for deformations of one-dimensional formal groups. Zbl 0956.14036 Chai, Ching-Li 2 2000 Arithmetic compactification of the Siegel moduli space. Zbl 0697.14030 Chai, Ching-Li 1 1989 A refinement of the Artin conductor and the base change conductor. Zbl 1332.14055 Chai, Ching-Li; Kappen, Christian 1 2015 An algebraic construction of an abelian variety with a given Weil number. Zbl 1336.14029 Chai, Ching-Li; Oort, Frans 1 2015 Arithmetic theory of Siegel modular forms. Zbl 0621.10018 Faltings, Gerd 1 1987 Stratifying Lie strata of Hilbert modular varieties. Zbl 1477.14043 Yu, Chia-Fu; Chai, Ching-Li; Oort, Frans 1 2020 Sustained \(p\)-divisible groups and a foliation on moduli spaces of abelian varieties. Zbl 1456.14057 Chai, Ching-Li 1 2020 Sustained \(p\)-divisible groups: a foliation retraced. Zbl 1427.14094 Chai, Ching-Li; Oort, Frans 1 2019 Stratifying Lie strata of Hilbert modular varieties. Zbl 1477.14043 Yu, Chia-Fu; Chai, Ching-Li; Oort, Frans 1 2020 Sustained \(p\)-divisible groups and a foliation on moduli spaces of abelian varieties. Zbl 1456.14057 Chai, Ching-Li 1 2020 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 4 2019 Sustained \(p\)-divisible groups: a foliation retraced. Zbl 1427.14094 Chai, Ching-Li; Oort, Frans 1 2019 The period matrices and theta functions of Riemann. Zbl 1355.14024 Chai, Ching-Li 3 2016 Mean field equations, hyperelliptic curves and modular forms. I. Zbl 1327.35116 Chai, Ching-Li; Lin, Chang-Shou; Wang, Chin-Lung 53 2015 A refinement of the Artin conductor and the base change conductor. Zbl 1332.14055 Chai, Ching-Li; Kappen, Christian 1 2015 An algebraic construction of an abelian variety with a given Weil number. Zbl 1336.14029 Chai, Ching-Li; Oort, Frans 1 2015 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 34 2014 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 13 2011 Moduli of abelian varieties and \(p\)-divisible groups. Zbl 1188.14028 Chai, Ching-Li; Oort, Frans 10 2009 A rigidity result for \(p\)-divisible formal groups. Zbl 1153.14030 Chai, Ching-Li 10 2008 Methods for \(p\)-adic monodromy. Zbl 1140.14019 Chai, Ching-Li 7 2008 Hypersymmetric Abelian varieties. Zbl 1156.14320 Chai, Ching-Li; Oort, Frans 10 2006 Hecke orbits as Shimura varieties in positive characteristic. Zbl 1096.14039 Chai, Ching-Li 9 2006 Hecke orbits on Siegel modular varieties. Zbl 1143.14021 Chai, Ching-Li 12 2005 Monodromy of Hecke-invariant subvarieties. Zbl 1140.11031 Chai, Ching-Li 10 2005 Character sums, automorphic forms, equidistribution, and Ramanujan graphs. II: Eigenvalues of Terras graphs. Zbl 1065.11047 Chai, Ching-Li; Li, Wen-Ching Winnie 6 2004 Character sums, automorphic forms, equidistribution, and Ramanujan graphs. I: The Kloosterman sum conjecture over function fields. Zbl 1038.11038 Chai, Ching-Li; Li, Wen-Ching Winnie 6 2003 Congruences of Néron models for tori and the Artin conductor. Zbl 1098.14014 Chai, Ching-Li; Yu, Jiu-Kang 18 2001 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 5 2001 Newton polygons as lattice points. Zbl 1057.11506 Chai, Ching-Li 22 2000 Néron models for semiabelian varieties: congruence and change of base field. Zbl 1100.14511 Chai, Ching-Li 15 2000 Local monodromy for deformations of one-dimensional formal groups. Zbl 0956.14036 Chai, Ching-Li 2 2000 Density of members with extra Hodge cycles in a family of Hodge structures. Zbl 0947.14004 Chai, Ching-Li 4 1998 The group action on the closed fiber of the Lubin-Tate moduli space. Zbl 0864.14028 Chai, Ching-Li 5 1996 Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli. Zbl 0990.11039 Chai, Ching-Li 30 1995 Singularities of the \(\Gamma_ 0(p)\)-level structure. Zbl 0785.14001 Chai, Ching-Li; Norman, Peter 10 1992 A note on Manin’s theorem of the kernel. Zbl 0759.14017 Chai, Ching-Li 6 1991 Degeneration of abelian varieties. Zbl 0744.14031 Faltings, Gerd; Chai, Ching-Li 301 1990 Appendix to “The Iwasawa conjecture for totally real fields” by A.Wiles: Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces. Zbl 0754.14030 Chai, C.-L. 27 1990 Bad reduction of the Siegel moduli scheme of genus two with \(\Gamma_ 0(p)\)-level structure. Zbl 0734.14010 Chai, Ching-Li; Norman, Peter 15 1990 Arithmetic compactification of the Siegel moduli space. Zbl 0697.14030 Chai, Ching-Li 1 1989 Arithmetic theory of Siegel modular forms. Zbl 0621.10018 Faltings, Gerd 1 1987 Siegel moduli schemes and their compactifications over \(\mathbb C\). Zbl 0603.14027 Chai, Chingli 6 1986 Compactification of Siegel moduli schemes. Zbl 0578.14009 Chai, Ching-Li 24 1985 all cited Publications top 5 cited Publications all top 5 Cited by 574 Authors 28 Lin, Chang-Shou 18 Chen, Zhijie 15 Van der Geer, Gerard 12 Yu, Chia-Fu 10 Achter, Jeffrey D. 9 Kuo, Ting-Jung 9 Lan, Kai-Wen 9 Lee, Youngae 8 Andreatta, Fabrizio 8 Goren, Eyal Z. 8 Pilloni, Vincent 7 Chai, Chingli 7 de Jong, Robin 7 Stroh, Benoît 7 Yang, Wen 6 Eremenko, Alexandre 6 Hida, Haruzo 6 Nicaise, Johannes 6 Oort, Frans 6 Shankar, Ananth N. 5 Burungale, Ashay A. 5 Halle, Lars Halvard 5 Hsieh, Ming-Lun 5 Ichikawa, Takashi 5 Pappas, Georgios 5 Taylor, Richard 5 Viehmann, Eva 4 Abramovich, Dan 4 Bertrand, Daniel 4 Buium, Alexandru 4 de Shalit, Ehud 4 Faber, Carel Filip 4 Fu, Erjuan 4 Gabrielov, Andrei 4 Hulek, Klaus 4 Jevnikar, Aleks Yang Wen 4 Johansson, Christian 4 Kisin, Mark 4 Krishnamoorthy, Raju 4 Liu, Zheng 4 Maulik, Davesh 4 Mochizuki, Shinichi 4 Shparlinski, Igor E. 4 Tang, Yunqing 4 Tsimerman, Jacob 4 Vasiu, Adrian 4 Zarkhin, Yuriĭ Gennad’evich 4 Zhang, Lei 4 Zuo, Kang 3 Bartolucci, Daniele 3 Berger, Tobias 3 Böcherer, Siegfried 3 Eischen, Ellen Elizabeth 3 Ekedahl, Torsten 3 Fakhruddin, Najmuddin 3 Ganapathy, Radhika 3 Görtz, Ulrich 3 Grushevsky, Samuel 3 Haines, Thomas J. 3 Harashita, Shushi 3 Harris, Michael Howard 3 Holmes, David 3 Kedlaya, Kiran Sridhara 3 Klingler, Bruno 3 Lauter, Kristin Estella 3 Madapusi Pera, Keerthi 3 Melo, Margarida 3 Odaka, Yuji 3 Overkamp, Otto 3 Pitale, Ameya 3 Pries, Rachel J. 3 Rapoport, Michael 3 Ritzenthaler, Christophe 3 Shokrieh, Farbod 3 Skinner, Christopher M. 3 Suh, Junecue 3 Tommasi, Orsola Paola Maria 3 Ullmo, Emmanuel 3 Urban, Eric 3 Várilly-Alvarado, Anthony 3 Viviani, Filippo 3 Wedhorn, Torsten 3 Yamauchi, Takuya 3 Zhang, Wei 3 Zhu, Xinwen 2 Alexeev, Valery A. 2 Barquero-Sanchez, Adrian 2 Belkale, Prakash 2 Bergström, Jonas 2 Bertapelle, Alessandra 2 Bosch, Siegfried 2 Bost, Jean-Benoît 2 Botero, Ana María 2 Brosnan, Patrick 2 Burgos Gil, José Ignacio 2 Calegari, Frank 2 Casalaina-Martin, Sebastian 2 Charles, François 2 Cléry, Fabien 2 Cunningham, Clifton L. R. ...and 474 more Authors all top 5 Cited in 125 Serials 35 Mathematische Annalen 27 Compositio Mathematica 24 Duke Mathematical Journal 22 Journal of Number Theory 20 Annales de l’Institut Fourier 20 Inventiones Mathematicae 18 Transactions of the American Mathematical Society 15 Advances in Mathematics 12 Mathematische Zeitschrift 12 Proceedings of the American Mathematical Society 11 Journal für die Reine und Angewandte Mathematik 11 Manuscripta Mathematica 11 Journal of the American Mathematical Society 11 Annals of Mathematics. Second Series 11 Journal of the Institute of Mathematics of Jussieu 11 Forum of Mathematics, Sigma 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Algebra & Number Theory 8 Journal of Algebraic Geometry 8 Journal de Théorie des Nombres de Bordeaux 8 Research in Number Theory 7 Israel Journal of Mathematics 7 Michigan Mathematical Journal 7 Documenta Mathematica 6 Bulletin de la Société Mathématique de France 6 Journal of Pure and Applied Algebra 6 Journal of the European Mathematical Society (JEMS) 6 International Journal of Number Theory 6 Research in the Mathematical Sciences 5 Communications in Mathematical Physics 5 Journal of Differential Geometry 5 Memoirs of the American Mathematical Society 5 Nagoya Mathematical Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Selecta Mathematica. New Series 5 European Journal of Mathematics 4 Publications Mathématiques 4 Journal of Differential Equations 4 Pacific Journal of Mathematics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Communications in Contemporary Mathematics 4 Science China. Mathematics 4 Journal de l’École Polytechnique – Mathématiques 3 Acta Arithmetica 3 Journal of Algebra 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Journal of Spectral Theory 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Acta Mathematica Vietnamica 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tôhoku Mathematical Journal. Second Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Finite Fields and their Applications 2 Vietnam Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 Geometry & Topology 2 LMS Journal of Computation and Mathematics 2 Annales Mathématiques du Québec 2 Tunisian Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematika 1 Notre Dame Journal of Formal Logic 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Designs, Codes and Cryptography 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 The Electronic Journal of Combinatorics ...and 25 more Serials all top 5 Cited in 36 Fields 404 Algebraic geometry (14-XX) 320 Number theory (11-XX) 31 Partial differential equations (35-XX) 25 Several complex variables and analytic spaces (32-XX) 22 Group theory and generalizations (20-XX) 21 Topological groups, Lie groups (22-XX) 19 Ordinary differential equations (34-XX) 14 Special functions (33-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Functions of a complex variable (30-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Commutative algebra (13-XX) 10 Differential geometry (53-XX) 9 Field theory and polynomials (12-XX) 9 Category theory; homological algebra (18-XX) 7 \(K\)-theory (19-XX) 7 Quantum theory (81-XX) 5 Combinatorics (05-XX) 5 Associative rings and algebras (16-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Convex and discrete geometry (52-XX) 3 Operator theory (47-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year