Edit Profile Yau, Shing-Tung Compute Distance To: Compute Author ID: yau.shing-tung Published as: Yau, S. T.; Yau, S.-T.; Yau, Shing Tung; Yau, Shing-Tung; Yau, Shing-tung; Yau, Shingtung; Yau, Sing-Tung Homepage: http://doctoryau.com External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Fields Medal (1982) · Wolf Prize (2010) Documents Indexed: 649 Publications since 1970, including 130 Books Biographic References: 19 Publications all top 5 Co-Authors 116 single-authored 42 Lian, Bong H. 36 Liu, Kefeng 34 Ji, Lizhen 24 Jerison, David S. 23 Gu, Xianfeng 21 Schoen, Richard Melvin 21 Wang, Mu-Tao 19 Smoller, Joel Alan 17 Chen, PoNing 17 Chung Graham, Fan-Rong King 16 Finster, Felix 16 Grigor’yan, Alexander Asaturovich 16 Stanley, Richard Peter 14 Jost, Jürgen 14 Mazur, Barry 14 Schmid, Wilfried 14 Zeng, Wei 13 Cheng, Shiu-Yuen 13 Lin, Yong 12 Hosono, Shinobu 12 Lui, Lok Ming 12 Mrowka, Tomasz S. 12 Yau, Stephen Shing-Toung 11 Li, Peter 11 Lin, Wen-Wei 11 Tseng, Li-Sheng 11 Yang, Lo 10 Cao, Huai-Dong 10 Gu, Xianfeng David 10 Luo, Feng 10 Sun, Xiaofeng 9 Meeks, William Hamilton III 9 Muranov, Yuriĭ Vladimirovich 9 Zaslow, Eric 8 Fu, Jixiang 8 Kamran, Niky 8 Li, Jun 8 Singer, Isadore M. 8 Wang, Yalin 7 Gu, David Xianfeng 7 Huang, An 7 Kisin, Mark 7 Klemm, Albrecht 7 Xie, Dan 7 Yau, Horng-Tzer 7 Zheng, Fangyang 6 Bieri, Lydia 6 Liu, Chien-Hao 6 Lusztig, George 6 Nadis, Steve 6 Papadopoulos, Athanase 6 Siu, Yum-Tong 6 Wu, Damin 6 Yueh, Mei-Heng 5 Chan, Tony Fan-Cheong 5 Dai, Junfei 5 Jaffe, Arthur Michael 5 Lin, Hai 5 Miller, Warner Allen 5 Oguiso, Keiji 5 Poon, Yat Sun 5 Seidel, Paul 5 Tian, Gang 5 Xu, Hao 4 Alsing, Paul M. 4 Becker, Melanie 4 Bott, Raoul Harry 4 Collins, Tristan Clifford 4 Esole, Mboyo 4 Greene, Robert Everist 4 Hübsch, Tristan 4 Jin, Miao 4 Leung, Naichung Conan 4 Lippner, Gábor 4 Liu, Chiu-Chu Melissa 4 Luo, Wei 4 Sheshmani, Artan 4 Theisen, Stefan J. 4 Uhlenbeck, Karen Keskulla 3 Alim, Murad 3 Au, Thomas Kwok-Keung 3 Bauer, Frank 3 de Jong, Aise Johan 3 Greene, Brian R. 3 Haghighat, Babak 3 Huang, Weiqiang 3 Jacob, Adam 3 Lawson, Herbert Blaine jun. 3 Li, Si 3 Lin, Chang-Shou 3 Martelli, Dario 3 Movasati, Hossein 3 Ng, Kung-Fu 3 Ray, Shannon 3 Roan, Shih-shyr 3 Sparks, James 3 Stroock, Daniel W. 3 Thompson, Paul M. 3 Todorov, Andrey N. 3 Tsai, Chung-Jun ...and 207 more Co-Authors all top 5 Serials 44 Communications in Mathematical Physics 25 Advanced Lectures in Mathematics (ALM) 21 Advances in Theoretical and Mathematical Physics 20 Communications in Analysis and Geometry 16 Pure and Applied Mathematics Quarterly 16 Surveys in Differential Geometry 15 Journal of Differential Geometry 14 Communications in Information and Systems 14 AMS/IP Studies in Advanced Mathematics 14 ICCM Notices 12 Communications on Pure and Applied Mathematics 12 The Asian Journal of Mathematics 11 American Journal of Mathematics 11 Inventiones Mathematicae 10 Nuclear Physics. B 10 Mathematische Annalen 8 Mathematical Research Letters 7 Proceedings of the National Academy of Sciences of the United States of America 7 Annals of Mathematics. Second Series 6 Advances in Mathematics 6 Topology 6 Notices of the American Mathematical Society 5 Commentarii Mathematici Helvetici 5 Surveys in Differential Geometry. Supplement to the Journal of Differential Geometry 4 Acta Mathematica 4 Journal of the American Mathematical Society 4 Journal of Scientific Computing 4 Science in China. Series A 4 Methods and Applications of Analysis 4 Journal of High Energy Physics 4 Proceedings of Symposia in Pure Mathematics 4 Communications in Number Theory and Physics 3 Classical and Quantum Gravity 3 Journal of Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Mathematische Zeitschrift 3 Homology, Homotopy and Applications 3 Annales Henri Poincaré 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Computer Aided Geometric Design 2 Annals of Physics 2 Bulletin of the American Mathematical Society. New Series 2 Nuclear Physics, B, Proceedings Supplements 2 Journal of Algebraic Geometry 2 International Journal of Modern Physics D 2 Turkish Journal of Mathematics 2 Physical Review Letters 2 SIAM Journal on Imaging Sciences 2 Geometry, Imaging and Computing 2 Harvard University Center of Mathematical Sciences and Applications Series in Mathematics (CSMA) 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Physics Letters. B 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 The Mathematics Student 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Forum Mathematicum 1 CAD. Computer-Aided Design 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Random Structures & Algorithms 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 SIAM Journal on Scientific Computing 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 International Journal of Computer Vision 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Electronic Journal of Combinatorics 1 Discrete and Continuous Dynamical Systems 1 Matemática Contemporânea ...and 20 more Serials all top 5 Fields 303 Differential geometry (53-XX) 184 Algebraic geometry (14-XX) 141 Several complex variables and analytic spaces (32-XX) 122 General and overarching topics; collections (00-XX) 114 Quantum theory (81-XX) 104 Global analysis, analysis on manifolds (58-XX) 86 Relativity and gravitational theory (83-XX) 67 Partial differential equations (35-XX) 50 Manifolds and cell complexes (57-XX) 45 History and biography (01-XX) 40 Numerical analysis (65-XX) 35 Combinatorics (05-XX) 27 Functions of a complex variable (30-XX) 26 Computer science (68-XX) 24 Number theory (11-XX) 22 Algebraic topology (55-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Probability theory and stochastic processes (60-XX) 15 Convex and discrete geometry (52-XX) 9 Category theory; homological algebra (18-XX) 9 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Special functions (33-XX) 9 Systems theory; control (93-XX) 7 Potential theory (31-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 404 Publications have been cited 11,904 times in 7,841 Documents Cited by ▼ Year ▼ On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059Yau, Shing-Tung 651 1978 On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045Li, Peter; Yau, Shing Tung 468 1986 Lectures on differential geometry. Zbl 0830.53001Schoen, Richard; Yau, Shing-Tung 377 1994 Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002Yau, Shing-tung 357 1975 Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031Cheng, S. Y.; Yau, Shing-Tung 336 1975 On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045Schoen, Richard; Yau, Shing-Tung 311 1979 Mirror symmetry is \(T\)-duality. Zbl 0896.14024Strominger, A.; Yau, S.-T.; Zaslow, E. 302 1996 Some function-theoretic properties of complete Riemannian manifold and their applications to geometry. Zbl 0335.53041Yau, Shing-Tung 296 1976 On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045Uhlenbeck, K.; Yau, S. T. 257 1986 Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021Cheng, Shiu-Yuen; Yau, Shing-Tung 238 1976 Calabi’s conjecture and some new results in algebraic geometry. Zbl 0355.32028Yau, Shing-Tung 199 1977 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038Schoen, Richard; Yau, Shing-Tung 190 1988 On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029Li, Peter; Yau, Shing-Tung 172 1983 On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman’s equation. Zbl 0506.53031Cheng, Shiu-Yuen; Yau, Shing-Tung 168 1980 Hypersurfaces with constant scalar curvature. Zbl 0349.53041Cheng, Shiu-Yuen; Yau, Shing-Tung 158 1977 A general Schwarz lemma for Kähler manifolds. Zbl 0424.53040Yau, Shing-Tung 154 1978 Proof of the positive mass theorem. II. Zbl 0494.53028Schoen, Richard; Yau, Shing-Tung 152 1981 Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051Schoen, Richard; Yau, Shing-Tung 148 1979 A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042Li, Peter; Yau, Shing-Tung 145 1982 On the structure of manifolds with positive scalar curvature. Zbl 0423.53032Schoen, Richard; Yau, Shing-Tung 137 1979 Submanifolds with constant mean curvature. I. Zbl 0304.53041Yau, Shing-Tung 125 1974 Sasaki-Einstein manifolds and volume minimisation. Zbl 1161.53029Martelli, Dario; Sparks, James; Yau, Shing-Tung 121 2008 On the regularity of the Monge-Ampère equation \(\text{det}(\partial^2u/\partial x_1\partial x_j)=F(x,u)\). Zbl 0347.35019Cheng, Shiu-Yuen; Yau, Shing-Tung 119 1977 The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds. Zbl 1190.53041Martelli, Dario; Sparks, James; Yau, Shing-Tung 115 2006 Curvature estimates for minimal hypersurfaces. Zbl 0323.53039Schoen, Richard; Simon, Leon; Yau, Shing-Tung 112 1975 Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces. Zbl 0814.53056Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. 107 1995 Stringy cosmic strings and noncompact Calabi-Yau manifolds. Zbl 0744.53045Greene, B. R.; Shapere, A.; Vafa, C.; Yau, Shing-Tung 106 1990 Calabi-Yau four-folds for \(M\)- and \(F\)-theory compactifications. Zbl 0920.14016Klemm, A.; Lian, B.; Roan, S.-S.; Yau, S.-T. 98 1998 Complete affine hypersurfaces. I: The completeness of affine metrics. Zbl 0623.53002Cheng, Shiu-Yuen; Yau, Shing-Tung 96 1986 Compact Kähler manifolds of positive bisectional curvature. Zbl 0442.53056Siu, Yum-Tong; Yau, Shing-Tung 92 1980 On the regularity of the solution of the \(n\)-dimensional Minkowski problem. Zbl 0363.53030Cheng, Shiu-Yuen; Yau, Shing-Tung 92 1976 Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040Schoen, Richard; Yau, Shing-Tung 90 1976 Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Zbl 0521.53007Meeks, William H. III; Simon, Leon; Yau, Shing-Tung 85 1982 Lectures on harmonic maps. Zbl 0886.53004Schoen, R.; Yau, S.-T. 82 1997 On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung 81 1981 A lower bound for the heat kernel. Zbl 0481.35003Cheeger, Jeff; Yau, Shing-Tung 81 1981 Mirror principle. I. Zbl 0953.14026Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung 77 1997 Open problems in geometry. Zbl 0801.53001Yau, Shing Tung 76 1993 Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold. Zbl 0325.53039Yau, Shing-Tung 76 1975 Small resolutions of SU(5)-models in F-theory. Zbl 1447.81171Esole, Mboyo; Yau, Shing-Tung 75 2013 Local mirror symmetry: Calculations and interpretations. Zbl 0976.32012Chiang, T.-M.; Klemm, A.; Yau, S.-T.; Zaslow, E. 74 1999 Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\). Zbl 0631.53052Tian, Gang; Yau, Shing Tung 73 1987 The existence of embedded minimal surfaces and the problem of uniqueness. Zbl 0479.49026Meeks, William H. III; Yau, Shing-Tung 73 1982 Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Zbl 0446.58017Yang, Paul C.; Yau, Shing-Tung 73 1980 Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Zbl 0458.57007Meeks, William H. III; Yau, Shing-Tung 72 1980 On univalent harmonic maps between surfaces. Zbl 0388.58005Schoen, Richard; Yau, Shing-Tung 66 1978 Ricci curvature and eigenvalue estimate on locally finite graphs. Zbl 1232.31003Lin, Yong; Yau, Shing-Tung 65 2010 The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation. Zbl 1141.53036Fu, Ji-Xiang; Yau, Shing-Tung 60 2008 Problem section of the seminar in differential geometry at Tokyo. Zbl 0479.53001Yau, Shing-Tung 60 1982 The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn’s lemma. Zbl 0489.57002Meeks, William H. III; Yau, Shing-Tung 59 1982 Li-Yau inequality on graphs. Zbl 1323.35189Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung 58 2015 Complete Kähler manifolds with zero Ricci curvature. II. Zbl 0766.53053Tian, Gang; Yau, Shing Tung 58 1991 Complete Kähler manifolds with zero Ricci curvature. I. Zbl 0719.53041Tian, G.; Yau, Shing Tung 58 1990 Obstructions to the existence of Sasaki-Einstein metrics. Zbl 1149.53026Gauntlett, Jerome P.; Martelli, Dario; Sparks, James; Yau, Shing-Tung 56 2007 Seminar on differential geometry. Zbl 0471.00020Yau, Shing-Tung (ed.) 55 1982 On the heat kernel of a complete Riemannian manifold. Zbl 0405.35025Yau, Shing-Tung 55 1978 Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature. Zbl 0858.53071Huisken, Gerhard; Yau, Shing-Tung 54 1996 Compact manifolds of nonpositive curvature. Zbl 0266.53035Lawson, H. Blaine jun.; Yau, Shing-Tung 52 1972 An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T. 51 1985 Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory. Zbl 1192.81312Becker, Katrin; Becker, Melanie; Fu, Ji-Xiang; Tseng, Li-Sheng; Yau, Shing-Tung 50 2006 Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012Schoen, Richard; Yau, Shing-Tung 50 1979 Connectedness of the boundary in the AdS/CFT correspondence. Zbl 0978.53085Witten, Edward; Yau, S.-T. 49 1999 Essays on mirror manifolds. Zbl 0816.00010Yau, Shing-Tung (ed.) 49 1992 Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 48 2004 On the curvature of compact Hermitian manifolds. Zbl 0299.53039Yau, Shing-Tung 48 1974 Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 1020.32508Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. 47 1995 Submanifolds with constant mean curvature. II. Zbl 0304.53042Yau, Shing-Tung 47 1975 The existence of supersymmetric string theory with torsion. Zbl 1102.53052Li, Jun; Yau, Shingtung 46 2005 Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014Li, Peter; Yau, Shing-Tung 46 1980 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 45 2006 Ricci curvature of graphs. Zbl 1237.05204Lin, Yong; Lu, Linyuan; Yau, Shing-Tung 44 2011 Special Lagrangians, stable bundles and mean curvature flow. Zbl 1115.53054Thomas, R. P.; Yau, S.-T. 44 2002 BPS states, string duality, and nodal curves on \(K3\). Zbl 0964.81521Yau, Shing-Tung; Zaslow, Eric 43 1996 A note on our previous paper: On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 0678.58041Uhlenbeck, K.; Yau, S. T. 40 1989 A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Zbl 0806.53064Jost, Jürgen; Yau, Shing-Tung 39 1993 Positivity of quasilocal mass. Zbl 1267.83028Liu, Chiu-Chu Melissa; Yau, Shing-Tung 37 2003 The existence of a black hole due to condensation of matter. Zbl 0541.53054Schoen, Richard; Yau, Shing-Tung 37 1983 Heat equations on minimal submanifolds and their applications. Zbl 0575.53038Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung 36 1984 Local heterotic torsional models. Zbl 1167.83309Fu, Ji-Xiang; Tseng, Li-Sheng; Yau, Shing-Tung 35 2009 Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung 35 1994 Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B. 34 1991 Isometric embeddings into the Minkowski space and new quasi-local mass. Zbl 1195.53039Wang, Mu-Tao; Yau, Shing-Tung 33 2009 Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung 32 2005 Completeness of the Kähler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions. Zbl 0526.53056Mok, Ngaiming; Yau, Shing-Tung 32 1983 The Poincaré-Lelong equation on complete Kähler manifolds. Zbl 0531.32007Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung 32 1981 Discrete Green’s functions. Zbl 0963.65120Chung, Fan; Yau, S.-T. 31 2000 The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031Schoen, Richard; Yau, Shing Tung 31 1981 Nonlinear analysis in geometry. Zbl 0631.53002Yau, Shing Tung 30 1987 Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Zbl 0358.32006Siu, Yum-Tong; Yau, Shing-Tung 30 1977 Cohomology and Hodge theory on symplectic manifolds. I. Zbl 1275.53079Tseng, Li-Sheng; Yau, Shing-Tung 29 2012 Logarithmic Harnack inequalities. Zbl 0880.58026Chung, F. R. K.; Yau, S.-T. 29 1996 GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. Zbl 0870.14028Hosono, S.; Lian, B. H.; Yau, S.-T. 29 1996 Balanced metrics on non-Kähler Calabi-Yau threefolds. Zbl 1264.32020Fu, Jixiang; Li, Jun; Yau, Shing-Tung 28 2012 Taming symplectic forms and the Calabi-Yau equation. Zbl 1153.53054Tosatti, Valentino; Weinkove, Ben; Yau, Shing-Tung 28 2008 Graph homotopy and Graham homotopy. Zbl 0990.05120Chen, Beifang; Yau, Shing-Tung; Yeh, Yeong-Nan 28 2001 Survey on partial differential equations in differential geometry. Zbl 0478.53001Yau, Shing-Tung 28 1982 The equivariant Dehn’s lemma and loop theorem. Zbl 0469.57005Meeks, William H. III; Yau, Shing-Tung 28 1981 Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres. Zbl 0297.57016Lawson, H. Blaine jun.; Yau, Shing-Tung 28 1974 Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 0908.32008Hosono, S.; Klemm, A.; Theisen, S.; Yau, S. T. 27 1995 From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Zbl 1033.53044Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric 26 2000 Localized Donaldson-Thomas theory of surfaces. Zbl 1442.14175Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung 4 2020 Nested Hilbert schemes on surfaces: virtual fundamental class. Zbl 1437.14054Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung 4 2020 Invariant metrics on negatively pinched complete Kähler manifolds. Zbl 07171893Wu, Damin; Yau, Shing-Tung 4 2020 \((1,1)\) forms with specified Lagrangian phase: a priori estimates and algebraic obstructions. Zbl 1442.14124Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 3 2020 Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs. Zbl 1432.35213Horn, Paul; Lin, Yong; Liu, Shuang; Yau, Shing-Tung 3 2019 A novel stretch energy minimization algorithm for equiareal parameterizations. Zbl 1417.65112Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung 3 2019 Li-Yau inequality for unbounded Laplacian on graphs. Zbl 1428.35651Gong, Chao; Lin, Yong; Liu, Shuang; Yau, Shing-Tung 2 2019 Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung 2 2019 Seiberg-Witten differential via primitive forms. Zbl 1412.81166Li, Si; Xie, Dan; Yau, Shing-Tung 1 2019 A geometric view of optimal transportation and generative model. Zbl 1430.49050Lei, Na; Su, Kehua; Cui, Li; Yau, Shing-Tung; Gu, Xianfeng David 1 2019 ADE string chains and mirror symmetry. Zbl 1384.81125Haghighat, Babak; Yan, Wenbin; Yau, Shing-Tung 7 2018 D-type fiber-base duality. Zbl 1398.83108Haghighat, Babak; Kim, Joonho; Yan, Wenbin; Yau, Shing-Tung 6 2018 The deformed Hermitian-Yang-Mills equation in geometry and physics. Zbl 1421.35300Collins, Tristan C.; Xie, Dan; Yau, Shing-Tung 5 2018 Quasi-local energy with respect to a static spacetime. Zbl 1400.83003Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung 4 2018 Calabi-Yau volumes and reflexive polytopes. Zbl 1404.14050He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung 2 2018 On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125Grigor’yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung 2 2018 Complete Kähler-Einstein metrics under certain holomorphic covering and examples. Zbl 1426.32012Wu, Damin; Yau, Shing-Tung 1 2018 Three dimensional canonical singularity and five dimensional \(\mathcal{N} = 1 \) SCFT. Zbl 1380.81416Xie, Dan; Yau, Shing-Tung 18 2017 A special Lagrangian type equation for holomorphic line bundles. Zbl 1375.32045Jacob, Adam; Yau, Shing-Tung 13 2017 Sharp Davies-Gaffney-Grigor’yan lemma on graphs. Zbl 06774925Bauer, Frank; Hua, Bobo; Yau, Shing-Tung 10 2017 Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions. Zbl 1370.81157Putrov, Pavel; Wang, Juven; Yau, Shing-Tung 7 2017 Pretty good quantum state transfer in symmetric spin networks via magnetic field. Zbl 1382.81049Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung 6 2017 4d \(\mathcal{N} = 2\) SCFT and singularity theory. II: Complete intersection. Zbl 1366.81256Chen, Bingyi; Xie, Dan; Yau, Shing-Tung; Yau, Stephen S.-T.; Zuo, Huaiqing 5 2017 Calabi-Yau modular forms in limit: elliptic fibrations. Zbl 1421.14009Haghighat, Babak; Movasati, Hossein; Yau, Shing-Tung 4 2017 An efficient energy minimization for conformal parameterizations. Zbl 1380.65049Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung 4 2017 Curvatures of moduli space of curves and applications. Zbl 1388.53077Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung 3 2017 \(4d\; \mathcal{N} = 2\) SCFT from complete intersection singularity. Zbl 1384.81139Wang, Yifan; Xie, Dan; Yau, Stephen S.-T.; Yau, Shing-Tung 3 2017 Homologies of digraphs and Künneth formulas. Zbl 1381.05062Grigor’yan, Alexander; Muranov, Yuri; Yau, Shing-Tung 2 2017 A strong Harnack inequality for graphs. Zbl 1378.05119Chung, Fan; Yau, Shing-Tung 2 2017 Quasi-local mass at the null infinity of the Vaidya spacetime. Zbl 1380.83078Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung 1 2017 String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Zbl 1381.14004Li, Si (ed.); Lian, Bong H. (ed.); Song, Wei (ed.); Yau, Shing-Tung (ed.) 1 2017 Nonexistence for complete Kähler-Einstein metrics on some noncompact manifolds. Zbl 1382.32017Gao, Peng; Yau, Shing-Tung; Zhou, Wubin 1 2017 The rest mass of an asymptotically anti-de Sitter spacetime. Zbl 1367.83010Chen, Po-Ning; Hung, Pei-Ken; Wang, Mu-Tao; Yau, Shing-Tung 1 2017 Singularities and gauge theory phases. II. Zbl 1428.81124Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung 24 2016 Negative holomorphic curvature and positive canonical bundle. Zbl 1357.53085Wu, Damin; Yau, Shing-Tung 16 2016 A remark on our paper “negative holomorphic curvature and positive canonical bundle”. Zbl 1373.53100Wu, Damin; Yau, Shing-Tung 11 2016 Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations. Zbl 1339.49039Gu, Xianfeng; Luo, Feng; Sun, Jian; Yau, Shing-Tung 9 2016 Heterotic string compactification and new vector bundles. Zbl 1342.81450Lin, Hai; Wu, Baosen; Yau, Shing-Tung 6 2016 Airy equation for the topological string partition function in a scaling limit. Zbl 1338.81305Alim, Murad; Yau, Shing-Tung; Zhou, Jie 5 2016 Cohomology and Hodge theory on symplectic manifolds. III. Zbl 1353.53085Tsai, Chung-Jun; Tseng, Li-Sheng; Yau, Shing-Tung 5 2016 Gauss-Manin connection in disguise: Calabi-Yau threefolds. Zbl 1348.14103Alim, Murad; Movasati, Hossein; Scheidegger, Emanuel; Yau, Shing-Tung 4 2016 On the validity of the definition of angular momentum in general relativity. Zbl 1335.83006Chen, Po-Ning; Huang, Lan-Hsuan; Wang, Mu-Tao; Yau, Shing-Tung 3 2016 Semicontinuity of 4d \( \mathcal{N}=2 \) spectrum under renormalization group flow. Zbl 1388.81896Xie, Dan; Yau, Shing-Tung 2 2016 Chain integral solutions to tautological systems. Zbl 1364.14031Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen 2 2016 On a cohomology of digraphs and Hochschild cohomology. Zbl 1353.05056Grigor’yan, Alexander; Muranov, Yuri; Yau, Shing-Tung 2 2016 On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property. Zbl 1345.53077Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin 2 2016 Conserved quantities on asymptotically hyperbolic initial data sets. Zbl 1367.83011Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung 1 2016 Quasilocal angular momentum and center of mass in general relativity. Zbl 1355.83004Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung 1 2016 From Riemann and Kodaira to modern developments on complex manifolds. Zbl 1354.53004Yau, Shing-Tung 1 2016 Li-Yau inequality on graphs. Zbl 1323.35189Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung 58 2015 Singularities and gauge theory phases. Zbl 1428.81123Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung 21 2015 \(D_5\) elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory. Zbl 1333.81329Esole, Mboyo; Fullwood, James; Yau, Shing-Tung 21 2015 Invariant solutions to the Strominger system on complex Lie groups and their quotients. Zbl 1319.32022Fei, Teng; Yau, Shing-Tung 13 2015 Davies-Gaffney-Grigor’yan Lemma on graphs. Zbl 1342.58013Bauer, Frank; Hua, Bobo; Yau, Shing-Tung 10 2015 Spanning trees and random walks on weighted graphs. Zbl 1307.05207Chang, Xiao; Xu, Hao; Yau, Shing-Tung 10 2015 Non-Kähler SYZ mirror symmetry. Zbl 1328.53108Lau, Siu-Cheong; Tseng, Li-Sheng; Yau, Shing-Tung 9 2015 Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization. Zbl 1320.30040Lui, Lok Ming; Gu, Xianfeng; Yau, Shing-Tung 8 2015 Conserved quantities in general relativity: from the quasi-local level to spatial infinity. Zbl 1319.83011Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung 6 2015 Cohomology of digraphs and (undirected) graphs. Zbl 1329.05132Grigor’yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung 4 2015 On the pseudonorm project of birational classification of algebraic varieties. Zbl 1322.14033Yau, Shing-Tung 3 2015 Time-dependent Hermite-Galerkin spectral method and its applications. Zbl 1410.65398Luo, Xue; Yau, Shing-Tung; Yau, Stephen S.-T. 2 2015 Gravitational waves and their memory in general relativity. Zbl 1339.83004Bieri, Lydia; Garfinkle, David; Yau, Shing-Tung 2 2015 Extremal bundles on Calabi-Yau threefolds. Zbl 1328.14068Gao, Peng; He, Yang-Hui; Yau, Shing-Tung 2 2015 Accelerating black holes, spin-\(\frac{3}{2}\) fields and \(C\)-metric. Zbl 1310.83021Lin, Hai; Saifullah, K.; Yau, Shing-Tung 1 2015 Complete cscK metrics on the local models of the conifold transition. Zbl 1316.32017Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin 1 2015 Harnack inequalities for graphs with non-negative Ricci curvature. Zbl 1309.05117Chung, Fan; Lin, Yong; Yau, S.-T. 22 2014 Teichmüller mapping (T-map) and its applications to landmark matching registration. Zbl 1296.65028Lui, Lok Ming; Lam, Ka Chun; Yau, Shing-Tung; Gu, Xianfeng 20 2014 Special polynomial rings, quasi modular forms and duality of topological strings. Zbl 1314.14081Alim, Murad; Scheidegger, Emanuel; Yau, Shing-Tung; Zhou, Jie 17 2014 Generalized cohomologies and supersymmetry. Zbl 1288.81125Tseng, Li-Sheng; Yau, Shing-Tung 11 2014 Ricci-flat graphs with girth at least five. Zbl 1308.05038Lin, Yong; Lu, Linyuan; Yau, S.-T. 8 2014 Homotopy theory for digraphs. Zbl 1312.05063Grigor’yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung 7 2014 Simplicial Ricci flow. Zbl 1295.53076Miller, Warner A.; McDonald, Jonathan R.; Alsing, Paul M.; Gu, David X.; Yau, Shing-Tung 7 2014 Minimizing properties of critical points of quasi-local energy. Zbl 1294.83020Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung 6 2014 Building blocks for generalized heterotic/F-theory duality. Zbl 1308.81147Heckman, Jonathan J.; Lin, Hai; Yau, Shing-Tung 5 2014 An explicit formula of hitting times for random walks on graphs. Zbl 1306.05228Xu, Hao; Yau, Shing-Tung 5 2014 Graphs associated with simplicial complexes. Zbl 1297.05269Grigor’yan, A.; Muranov, Yu. V.; Yau, Shing-Tung 5 2014 A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations. Zbl 1315.65036Huang, Wei-Qiang; Gu, Xianfeng David; Lin, Wen-Wei; Yau, Shing-Tung 4 2014 The geometry on smooth toroidal compactifications of Siegel varieties. Zbl 1307.14066Yau, Shing-Tung; Zhang, Yi 3 2014 On the holonomic rank problem. Zbl 1318.32027Bloch, Spencer; Huang, An; Lian, Bong H.; Srinivas, Vasudevan; Yau, Shing-Tung 3 2014 High performance computing for spherical conformal and Riemann mappings. Zbl 1314.30011Huang, Wei-Qiang; Gu, Xianfeng David; Huang, Tsung-Ming; Lin, Song-Sun; Lin, Wen-Wei; Yau, Shing-Tung 2 2014 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046Yau, Shing-Tung 2 2014 Small resolutions of SU(5)-models in F-theory. Zbl 1447.81171Esole, Mboyo; Yau, Shing-Tung 75 2013 Discrete Green’s functions and random walks on graphs. Zbl 1256.05225Xu, Hao; Yau, Shing-Tung 7 2013 Quantum tunneling from three-dimensional black holes. Zbl 1331.81118Ejaz, Asiya; Gohar, H.; Lin, Hai; Saifullah, K.; Yau, Shing-Tung 5 2013 On exotic sphere fibrations, topological phases, and edge states in physical systems. Zbl 1277.81092Lin, Hai; Yau, Shing-Tung 4 2013 Period integrals of CY and general type complete intersections. Zbl 1276.32004Lian, Bong H.; Yau, Shing-Tung 4 2013 Periodic integrals and tautological systems. Zbl 1272.14033Lian, Bong H.; Song, Ruifang; Yau, Shing-Tung 3 2013 Open problems in differential geometry. Zbl 1302.53003Yau, Shing-Tung; Ma, Hui; Tsai, Chung-Jun; Wang, Mu-Tao; Zhao, En-Tao 2 2013 Teichmüller shape descriptor and its application to Alzheimer’s disease study. Zbl 1304.92074Zeng, Wei; Shi, Rui; Wang, Yalin; Yau, Shing-Tung; Gu, Xianfeng; Alzheimer’s Disease Neuroimaging Initiative 1 2013 Visualization of 2-dimensional Ricci flow. Zbl 1287.53058Dai, Junfei; Luo, Wei; Zhang, Min; Gu, Xianfeng; Yau, Shing-Tung 1 2013 Cohomology and Hodge theory on symplectic manifolds. I. Zbl 1275.53079Tseng, Li-Sheng; Yau, Shing-Tung 29 2012 Balanced metrics on non-Kähler Calabi-Yau threefolds. Zbl 1264.32020Fu, Jixiang; Li, Jun; Yau, Shing-Tung 28 2012 Cohomology and Hodge theory on symplectic manifolds. II. Zbl 1275.53080Tseng, Li-Sheng; Yau, Shing-Tung 16 2012 Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung 16 2012 Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces. Zbl 1253.14036Li, Si; Lian, Bong H.; Yau, Shing-Tung 13 2012 Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng 10 2012 The electromagnetic Christodoulou memory effect and its application to neutron star binary mergers. Zbl 1266.83062Bieri, Lydia; Chen, Poning; Yau, Shing-Tung 7 2012 Picard number, holomorphic sectional curvature, and ampleness. Zbl 1235.32021Wong, Pit-Mann; Wu, Damin; Yau, Shing-Tung 7 2012 A review of the Chern conjecture for isoparametric hypersurfaces in spheres. Zbl 1320.53023Scherfner, Mike; Weiss, Simon; Yau, Shing-Tung 5 2012 Quantum tunneling on graphs. Zbl 1241.81079Lin, Yong; Lippner, Gábor; Yau, Shing-Tung 3 2012 ...and 304 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,259 Authors 127 Yau, Shing-Tung 93 de Lima, Henrique F. 46 Biswas, Indranil 42 Velásquez, Marco Antonio Lázaro 41 Jost, Jürgen 37 Tian, Gang 36 Rigoli, Marco 34 Grigor’yan, Alexander Asaturovich 31 Alías, Luis J. 31 Klemm, Albrecht 31 Tam, Luen-Fai 31 Vafa, Cumrun 31 Xu, Hongwei 28 Romero, Alfonso 27 Aquino, Cicero Pedro 27 Morrison, David R. 27 Rubio, Rafael María 27 Zhang, Xi 26 Chen, Xiuxiong 26 Dos Santos, Fábio Reis 26 Li, Haizhong 25 Cheng, Qingming 24 Grimm, Thomas W. 24 Hua, Bobo 24 Schäfer-Nameki, Sakura 23 Ma, Li 23 Sparks, James 23 Tosatti, Valentino 23 Xia, Changyu 22 Miao, Pengzi 22 Schoen, Richard Melvin 21 Li, Jiayu 21 Liu, Kefeng 21 Meeks, William Hamilton III 21 Taylor, Washington IV 21 Weigand, Timo 21 Weinkove, Ben 20 Martelli, Dario 19 Smoller, Joel Alan 18 Bao, Jiguang 18 Katz, Sheldon 18 Li, YanYan 18 McInnes, Brett 18 Rodríguez García, José Manuel 18 Setti, Alberto G. 18 Verbitsky, Misha 18 Wang, Feng-Yu 18 Wu, Jiayong 18 Xin, Yuanlong 17 Anderson, Lara B. 17 Huang, Guangyue 17 Khuri, Marcus A. 17 Li, An-Min 17 Li, Peter 17 Lin, Yong 17 Lui, Lok Ming 17 Ni, Lei 17 Popov, Alexander D. 17 Song, Jian 17 Wang, Mu-Tao 17 Wang, Qiaoling 17 Wei, Guoxin 17 Yang, Xiao-Kui 16 Braun, Andreas P. 16 Finster, Felix 16 LeBrun, Claude R. 16 Minasian, Ruben 16 Pigola, Stefano 16 Wang, Guofang 16 Wang, Linfeng 16 Xiao, Jie 15 Anderson, Michael T. 15 Shi, Yuguang 15 Stepanov, Sergeĭ Evgen’evich 14 Aledo, Juan Ángel 14 Angella, Daniele 14 Colding, Tobias Holck 14 El Soufi, Ahmad 14 Futaki, Akito 14 Gray, James A. 14 Lin, Hezi 14 Lu, Zhiqin 14 Mariño, Marcos 14 Mok, Ngaiming 14 Bessa, Gregório Pacelli 14 Qian, Bin 14 Ugarte, Luis 14 Wang, Xu-Jia 14 Zhang, Qi-Shuhuason 14 Zhang, Xiao 14 Zheng, Fangyang 13 Alarcón, Antonio 13 Arroja Neves, André 13 Cao, Huai-Dong 13 Donnelly, Harold 13 Galloway, Gregory J. 13 Gu, Xianfeng 13 Guedj, Vincent 13 Klevers, Denis 13 Liu, Chiu-Chu Melissa ...and 6,159 more Authors all top 5 Cited in 466 Serials 468 Journal of High Energy Physics 293 Communications in Mathematical Physics 261 Proceedings of the American Mathematical Society 252 Transactions of the American Mathematical Society 251 Mathematische Annalen 251 The Journal of Geometric Analysis 242 Advances in Mathematics 236 Nuclear Physics. 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