Edit Profile (opens in new tab) Hsiao, Chin-Yu Co-Author Distance Author ID: hsiao.chin-yu Published as: Hsiao, Chin-Yu; Hsiao, Chin-yu; Hsiao, Chin Yu more...less Documents Indexed: 50 Publications since 2008, including 2 Books and 10 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 42 Joint Publications 201 Co-Co-Authors all top 5 Co-Authors 8 single-authored 15 Marinescu, George 12 Li, Xiaoshan 8 Herrmann, Hendrik 5 Huang, Rung-Tzung 4 Galasso, Andrea 4 Shao, Guokuan 3 Shen, Wei-Chuan 3 Yung, Polam 2 Case, Jeffrey S. 2 Wang, Huan 2 Yang, Paul C. P. 1 Cheng, Jih-Hsin 1 Fritsch, Kevin 1 Ma, Xiaonan 1 Savale, Nikhil 1 Tsai, I-Hsun 1 Zhu, Weixia all top 5 Serials 3 Mathematische Zeitschrift 3 Annals of Global Analysis and Geometry 3 The Journal of Geometric Analysis 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Functional Analysis 2 Michigan Mathematical Journal 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Research Letters 2 Communications in Contemporary Mathematics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 Communications in Partial Differential Equations 1 Communications in Analysis and Geometry 1 The Asian Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 43 Several complex variables and analytic spaces (32-XX) 8 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 218 times in 85 Documents Cited by ▼ Year ▼ Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles. Zbl 1316.32013 Hsiao, Chin-Yu; Marinescu, George 35 2014 Projections in several complex variables. Zbl 1229.32002 Hsiao, C.-Y. 27 2010 On the singularities of the Szegő projections on lower energy forms. Zbl 1398.32038 Hsiao, Chin-Yu; Marinescu, George 17 2017 Szegő kernel asymptotics and Morse inequalities on CR manifolds. Zbl 1258.32014 Hsiao, Chin-Yu; Marinescu, George 17 2012 Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action. Zbl 1352.32013 Hsiao, Chin-Yu; Li, Xiaoshan 16 2016 Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds. Zbl 1412.32028 Hsiao, Chin-Yu 12 2018 Szegő kernel expansion and equivariant embedding of CR manifolds with circle action. Zbl 1378.32024 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 10 2017 Berezin-Toeplitz quantization for lower energy forms. Zbl 1378.53104 Hsiao, Chin-Yu; Marinescu, George 10 2017 On CR Paneitz operators and CR pluriharmonic functions. Zbl 1333.32036 Hsiao, Chin-Yu 8 2015 Szegő kernel asymptotics and Morse inequalities on CR manifolds with \(S^1\) action. Zbl 1398.32002 Hsiao, Chin-Yu; Li, Xiaoshan 8 2018 \(G\)-invariant Szegő kernel asymptotics and CR reduction. Zbl 1467.32016 Hsiao, Chin-Yu; Huang, Rung-Tzung 8 2021 Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3. Zbl 1320.32044 Hsiao, Chin-Yu; Yung, Po-Lam 7 2015 On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization. Zbl 1260.81141 Hsiao, Chin-Yu 7 2012 The second coefficient of the asymptotic expansion of the weighted Bergman kernel for \((0,q)\) forms on \(\mathbb{C}^{n}\). Zbl 1353.32005 Hsiao, Chin-Yu 6 2016 Existence of CR sections for high power of semi-positive generalized Sasakian CR line bundles over generalized Sasakian CR manifolds. Zbl 1306.32026 Hsiao, Chin-Yu 5 2015 Heat kernel asymptotics, local index theorem and trace integrals for Cauchy-Riemann manifolds with \(S^1\) action. Zbl 1452.32043 Cheng, Jih-Hsin; Hsiao, Chin-Yu; Tsai, I-Hsun 5 2019 Equivariant Kodaira embedding for CR manifolds with circle action. Zbl 1525.32022 Hsiao, Chin-Yu; Li, Xiaoshan; Marinescu, George 5 2021 Szegő kernel asymptotic expansion on strongly pseudoconvex CR manifolds with \(S^1\) action. Zbl 1400.32022 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 4 2018 Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds. Zbl 1394.32031 Hsiao, Chin-Yu; Marinescu, George 4 2017 Geometric quantization on CR manifolds. Zbl 07741153 Hsiao, Chin-Yu; Ma, Xiaonan; Marinescu, George 3 2023 Szegő kernels and equivariant embedding theorems for CR manifolds. Zbl 1510.32087 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 3 2022 Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases. Zbl 1511.32025 Hsiao, Chin-Yu; Savale, Nikhil 3 2022 An explicit formula for Szegő kernels on the Heisenberg group. Zbl 1402.32038 Herrmann, Hendrik; Hsiao, Chin Yu; Li, Xiao Shan 3 2018 The tangential Cauchy-Riemann complex on the Heisenberg group via conformal invariance. Zbl 1293.32042 Hsiao, Chin-yu; Yung, Po-lam 3 2013 On the stability of equivariant embedding of compact CR manifolds with circle action. Zbl 1394.32032 Hsiao, Chin-Yu; Li, Xiaoshan; Marinescu, George 3 2018 Bergman kernel asymptotics and a pure analytic proof of the Kodaira embedding theorem. Zbl 1332.32005 Hsiao, Chin-Yu 2 2015 Extremal metrics for the \(Q'\)-curvature in three dimensions. (Métriques extrémales pour la \(Q'\)-courbure en dimension 3.) Zbl 1381.53062 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2016 Extremal metrics for the \(Q^\prime\)-curvature in three dimensions. Zbl 1444.32034 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2019 Toeplitz operators on CR manifolds and group actions. Zbl 1504.32096 Galasso, Andrea; Hsiao, Chin-Yu 2 2023 Heat kernel asymptotics for Kohn Laplacians on CR manifolds. Zbl 1505.32059 Hsiao, Chin-Yu; Zhu, Weixia 2 2023 \(G\)-equivariant embedding theorems for CR manifolds of high codimension. Zbl 1510.32082 Fritsch, Kevin; Herrmann, Hendrik; Hsiao, Chin-Yu 1 2022 Szegő kernel asymptotics on complete strictly pseudoconvex CR manifolds. Zbl 1503.32023 Hsiao, Chin-Yu; Marinescu, George; Wang, Huan 1 2022 \(S^1\)-equivariant index theorems and Morse inequalities on complex manifolds with boundary. Zbl 1509.32008 Hsiao, Chin-Yu; Huang, Rung-Tzung; Li, Xiaoshan; Shao, Guokuan 1 2020 On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjöestrand. Zbl 1471.32063 Hsiao, Chin-Yu; Shen, Wei-Chuan 1 2020 The asymptotics of the analytic torsion on CR manifolds with \(S^1\) action. Zbl 1432.58030 Hsiao, Chin-Yu; Huang, Rung-Tzung 1 2019 Equidistribution theorems on strongly pseudoconvex domains. Zbl 1429.32051 Hsiao, Chin-Yu; Shao, Guokuan 1 2019 Geometric quantization on CR manifolds. Zbl 07741153 Hsiao, Chin-Yu; Ma, Xiaonan; Marinescu, George 3 2023 Toeplitz operators on CR manifolds and group actions. Zbl 1504.32096 Galasso, Andrea; Hsiao, Chin-Yu 2 2023 Heat kernel asymptotics for Kohn Laplacians on CR manifolds. Zbl 1505.32059 Hsiao, Chin-Yu; Zhu, Weixia 2 2023 Szegő kernels and equivariant embedding theorems for CR manifolds. Zbl 1510.32087 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 3 2022 Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases. Zbl 1511.32025 Hsiao, Chin-Yu; Savale, Nikhil 3 2022 \(G\)-equivariant embedding theorems for CR manifolds of high codimension. Zbl 1510.32082 Fritsch, Kevin; Herrmann, Hendrik; Hsiao, Chin-Yu 1 2022 Szegő kernel asymptotics on complete strictly pseudoconvex CR manifolds. Zbl 1503.32023 Hsiao, Chin-Yu; Marinescu, George; Wang, Huan 1 2022 \(G\)-invariant Szegő kernel asymptotics and CR reduction. Zbl 1467.32016 Hsiao, Chin-Yu; Huang, Rung-Tzung 8 2021 Equivariant Kodaira embedding for CR manifolds with circle action. Zbl 1525.32022 Hsiao, Chin-Yu; Li, Xiaoshan; Marinescu, George 5 2021 \(S^1\)-equivariant index theorems and Morse inequalities on complex manifolds with boundary. Zbl 1509.32008 Hsiao, Chin-Yu; Huang, Rung-Tzung; Li, Xiaoshan; Shao, Guokuan 1 2020 On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjöestrand. Zbl 1471.32063 Hsiao, Chin-Yu; Shen, Wei-Chuan 1 2020 Heat kernel asymptotics, local index theorem and trace integrals for Cauchy-Riemann manifolds with \(S^1\) action. Zbl 1452.32043 Cheng, Jih-Hsin; Hsiao, Chin-Yu; Tsai, I-Hsun 5 2019 Extremal metrics for the \(Q^\prime\)-curvature in three dimensions. Zbl 1444.32034 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2019 The asymptotics of the analytic torsion on CR manifolds with \(S^1\) action. Zbl 1432.58030 Hsiao, Chin-Yu; Huang, Rung-Tzung 1 2019 Equidistribution theorems on strongly pseudoconvex domains. Zbl 1429.32051 Hsiao, Chin-Yu; Shao, Guokuan 1 2019 Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds. Zbl 1412.32028 Hsiao, Chin-Yu 12 2018 Szegő kernel asymptotics and Morse inequalities on CR manifolds with \(S^1\) action. Zbl 1398.32002 Hsiao, Chin-Yu; Li, Xiaoshan 8 2018 Szegő kernel asymptotic expansion on strongly pseudoconvex CR manifolds with \(S^1\) action. Zbl 1400.32022 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 4 2018 An explicit formula for Szegő kernels on the Heisenberg group. Zbl 1402.32038 Herrmann, Hendrik; Hsiao, Chin Yu; Li, Xiao Shan 3 2018 On the stability of equivariant embedding of compact CR manifolds with circle action. Zbl 1394.32032 Hsiao, Chin-Yu; Li, Xiaoshan; Marinescu, George 3 2018 On the singularities of the Szegő projections on lower energy forms. Zbl 1398.32038 Hsiao, Chin-Yu; Marinescu, George 17 2017 Szegő kernel expansion and equivariant embedding of CR manifolds with circle action. Zbl 1378.32024 Herrmann, Hendrik; Hsiao, Chin-Yu; Li, Xiaoshan 10 2017 Berezin-Toeplitz quantization for lower energy forms. Zbl 1378.53104 Hsiao, Chin-Yu; Marinescu, George 10 2017 Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds. Zbl 1394.32031 Hsiao, Chin-Yu; Marinescu, George 4 2017 Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action. Zbl 1352.32013 Hsiao, Chin-Yu; Li, Xiaoshan 16 2016 The second coefficient of the asymptotic expansion of the weighted Bergman kernel for \((0,q)\) forms on \(\mathbb{C}^{n}\). Zbl 1353.32005 Hsiao, Chin-Yu 6 2016 Extremal metrics for the \(Q'\)-curvature in three dimensions. (Métriques extrémales pour la \(Q'\)-courbure en dimension 3.) Zbl 1381.53062 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2016 On CR Paneitz operators and CR pluriharmonic functions. Zbl 1333.32036 Hsiao, Chin-Yu 8 2015 Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3. Zbl 1320.32044 Hsiao, Chin-Yu; Yung, Po-Lam 7 2015 Existence of CR sections for high power of semi-positive generalized Sasakian CR line bundles over generalized Sasakian CR manifolds. Zbl 1306.32026 Hsiao, Chin-Yu 5 2015 Bergman kernel asymptotics and a pure analytic proof of the Kodaira embedding theorem. Zbl 1332.32005 Hsiao, Chin-Yu 2 2015 Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles. Zbl 1316.32013 Hsiao, Chin-Yu; Marinescu, George 35 2014 The tangential Cauchy-Riemann complex on the Heisenberg group via conformal invariance. Zbl 1293.32042 Hsiao, Chin-yu; Yung, Po-lam 3 2013 Szegő kernel asymptotics and Morse inequalities on CR manifolds. Zbl 1258.32014 Hsiao, Chin-Yu; Marinescu, George 17 2012 On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization. Zbl 1260.81141 Hsiao, Chin-Yu 7 2012 Projections in several complex variables. Zbl 1229.32002 Hsiao, C.-Y. 27 2010 all cited Publications top 5 cited Publications all top 5 Cited by 57 Authors 26 Hsiao, Chin-Yu 11 Li, Xiaoshan 10 Marinescu, George 8 Shao, Guokuan 7 Huang, Rung-Tzung 7 Ma, Xiaonan 7 Yang, Paul C. P. 6 Herrmann, Hendrik 4 Case, Jeffrey S. 4 Feng, Zhiming 4 Galasso, Andrea 4 Kordyukov, Yuri A. 4 Wang, Huan 3 Cheng, Jih-Hsin 3 Maalaoui, Ali 2 Brinkschulte, Judith 2 Chanillo, Sagun 2 Fritsch, Kevin 2 Ioos, Louis 2 Lu, Wen 2 Malchiodi, Andrea 2 Savale, Nikhil 2 Seto, Shoo 2 Shen, Wei-Chuan 2 Takeuchi, Yuya 2 Tu, Zhenhan 2 Yung, Polam 1 Auvray, Hugues 1 Barilari, Davide 1 Chen, Eric Jian-Ting 1 Chiang, Yueh-Lin 1 Coman, Dan 1 Harutyunyan, Anahit V. 1 Heinzner, Peter 1 Hezari, Hamid 1 Hitrik, Michael 1 Ho, Pak Tung 1 Hou, Yu-Chi 1 Kelleher, Casey Lynn 1 Lellouch, Gabriel 1 Lin, Yang-Zhi 1 Lin, Yi 1 Loizides, Yiannis 1 Mai, Weixiong 1 Nguyên Viêt Anh 1 Ollivier, Rachel 1 Paoletti, Roberto 1 Puchol, Martin 1 Schneider, Peter 1 Sjamaar, Reyer 1 Stone, Matthew T. 1 Su, Guicong 1 Tien Cuong Dinh 1 Wang, Zhiwei 1 Xu, Hang 1 Xu, Hao 1 Zhu, Weixia all top 5 Cited in 40 Serials 11 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 7 Mathematische Zeitschrift 7 The Journal of Geometric Analysis 6 Annals of Global Analysis and Geometry 4 Advances in Mathematics 3 Mathematische Annalen 3 Pacific Journal of Mathematics 3 Analysis and Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Functional Analysis 2 Michigan Mathematical Journal 2 International Journal of Mathematics 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Calculus of Variations and Partial Differential Equations 2 Communications in Contemporary Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Journal of Spectral Theory all top 5 Cited in 15 Fields 74 Several complex variables and analytic spaces (32-XX) 21 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 6 Operator theory (47-XX) 4 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) Citations by Year