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Shing-tung Yau - Publications

Affiliations: 
Mathematics Harvard University, Cambridge, MA, United States 
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Year Citation  Score
2020 Gholampour A, Sheshmani A, Yau S. Localized Donaldson-Thomas theory of surfaces American Journal of Mathematics. 142: 405-442. DOI: 10.1353/Ajm.2020.0011  0.301
2020 Wang J, Wen X, Yau S. Quantum statistics and spacetime surgery Physics Letters B. 807: 135516. DOI: 10.1016/J.Physletb.2020.135516  0.5
2020 Diaconescu D, Sheshmani A, Yau S. Atiyah class and sheaf counting on local Calabi Yau fourfolds Advances in Mathematics. 368: 107132. DOI: 10.1016/J.Aim.2020.107132  0.402
2020 Huang A, Lin Y, Yau S. Existence of Solutions to Mean Field Equations on Graphs Communications in Mathematical Physics. 377: 613-621. DOI: 10.1007/S00220-020-03708-1  0.313
2019 Collins TC, Jacob A, Yau S. Poisson metrics on flat vector bundles over non-compact curves Communications in Analysis and Geometry. 27: 529-597. DOI: 10.4310/Cag.2019.V27.N3.A2  0.34
2019 Wu D, Yau S. Invariant metrics on negatively pinched complete Kähler manifolds Journal of the American Mathematical Society. 33: 103-133. DOI: 10.1090/Jams/933  0.361
2019 Grigor'yan A, Jimenez R, Muranov Y, Yau S. Homology of path complexes and hypergraphs Topology and Its Applications. 267: 106877. DOI: 10.1016/J.Topol.2019.106877  0.317
2019 Huang W, Lin W, Lu HH, Yau S. iSIRA: Integrated Shift-Invert Residual Arnoldi Method for Graph Laplacian Matrices from Big Data Journal of Computational and Applied Mathematics. 346: 518-531. DOI: 10.1016/J.Cam.2018.07.031  0.307
2019 Wang J, Wen X, Yau S. Quantum statistics and spacetime topology: Quantum surgery formulas Annals of Physics. 409: 167904. DOI: 10.1016/J.Aop.2019.06.002  0.5
2019 Gong C, Lin Y, Liu S, Yau S. Li-Yau inequality for unbounded Laplacian on graphs Advances in Mathematics. 357: 106822. DOI: 10.1016/J.Aim.2019.106822  0.306
2019 Li S, Xie D, Yau S. Seiberg-Witten differential via primitive forms Communications in Mathematical Physics. 367: 193-214. DOI: 10.1007/S00220-019-03401-Y  0.317
2019 Chen P, Wang M, Yau S. The Minkowski Formula and the Quasi-Local Mass Annales Henri Poincaré. 20: 889-904. DOI: 10.1007/S00023-019-00766-7  0.3
2018 Wu D, Yau S. Complete Kähler–Einstein metrics under certain holomorphic covering and Examples Annales De L'Institut Fourier. 68: 2901-2921. DOI: 10.5802/Aif.3230  0.357
2018 Wang J, Ohmori K, Putrov P, Zheng Y, Wan Z, Guo M, Lin H, Gao P, Yau S. Tunneling topological vacua via extended operators: (Spin-)TQFT spectra and boundary deconfinement in various dimensions Progress of Theoretical and Experimental Physics. 2018. DOI: 10.1093/Ptep/Pty051  0.517
2018 Sormani C, Bray HL, Minicozzi WP, Eichmair M, Huang L, Yau S, Uhlenbeck K, Kusner R, marques FC, Mese C, Fraser A. The Mathematics of Richard Schoen Notices of the American Mathematical Society. 65: 1. DOI: 10.1090/Noti1749  0.427
2018 Miller WA, Ray S, Wang M, Yau S. Wang and Yau’s quasi-local energy for an extreme Kerr spacetime Classical and Quantum Gravity. 35: 55007. DOI: 10.1088/1361-6382/Aaa625  0.303
2018 He Y, Seong R, Yau S. Calabi-Yau Volumes and Reflexive Polytopes Communications in Mathematical Physics. 361: 155-204. DOI: 10.1007/S00220-018-3128-6  0.327
2018 Chen P, Wang M, Yau S. Evaluating small sphere limit of the Wang-Yau quasi-local energy Communications in Mathematical Physics. 357: 731-774. DOI: 10.1007/S00220-017-3033-4  0.501
2018 Haghighat B, Yan W, Yau S. ADE String Chains and Mirror Symmetry Journal of High Energy Physics. 2018: 43. DOI: 10.1007/Jhep01(2018)043  0.331
2017 Gukov S, Liu CM, Sheshmani A, Yau S. On topological approach to local theory of surfaces in Calabi-Yau threefolds Advances in Theoretical and Mathematical Physics. 21: 1679-1728. DOI: 10.4310/Atmp.2017.V21.N7.A4  0.315
2017 Liu K, Sun X, Yang X, Yau S. Curvatures of moduli space of curves and applications Asian Journal of Mathematics. 21: 841-854. DOI: 10.4310/Ajm.2017.V21.N5.A3  0.321
2017 Putrov P, Wang J, Yau S. Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions Annals of Physics. 384: 254-287. DOI: 10.1016/J.Aop.2017.06.019  0.545
2017 Jacob A, Yau S. A special Lagrangian type equation for holomorphic line bundles Mathematische Annalen. 369: 869-898. DOI: 10.1007/S00208-016-1467-1  0.309
2017 Chen P, Hung P, Wang M, Yau S. The Rest Mass of an Asymptotically Anti-de Sitter Spacetime Annales Henri Poincaré. 18: 1493-1518. DOI: 10.1007/S00023-017-0555-4  0.509
2017 Xie D, Yau S. Three dimensional canonical singularity and five dimensional $ \mathcal{N} $ = 1 SCFT Journal of High Energy Physics. 2017: 134. DOI: 10.1007/Jhep06(2017)134  0.332
2016 Shi R, Zeng W, Su Z, Jiang J, Damasio H, Lu Z, Wang Y, Yau ST, Gu X. Hyperbolic Harmonic Mapping for Surface Registration. Ieee Transactions On Pattern Analysis and Machine Intelligence. PMID 27187948 DOI: 10.1109/Tpami.2016.2567398  0.315
2016 Tsai CJ, Tseng LS, Yau ST. Cohomology and hodge theory on symplectic manifolds: III Journal of Differential Geometry. 103: 83-143. DOI: 10.4310/Jdg/1349292670  0.305
2016 Fu J, Yau S, Zhou W. On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property Communications in Analysis and Geometry. 24: 521-557. DOI: 10.4310/Cag.2016.V24.N3.A4  0.343
2016 Chen P, Wang M, Yau S. Conserved quantities on asymptotically hyperbolic initial data sets Advances in Theoretical and Mathematical Physics. 20: 1337-1375. DOI: 10.4310/Atmp.2016.V20.N6.A2  0.466
2016 Chen P, Wang M, Yau S. Quasilocal angular momentum and center of mass in general relativity Advances in Theoretical and Mathematical Physics. 20: 671-682. DOI: 10.4310/Atmp.2016.V20.N4.A1  0.47
2016 Esole M, Shao S, Yau S. Singularities and Gauge Theory Phases Advances in Theoretical and Mathematical Physics. 19: 1183-1247. DOI: 10.4310/Atmp.2015.V19.N6.A2  0.33
2016 Chen P, Wang M, Yau S. Quasi-local energy in presence of gravitational radiation International Journal of Modern Physics D. 25: 1645001. DOI: 10.1142/S0218271816450012  0.517
2016 Grigor’yan A, Muranov Y, Yau S. On a cohomology of digraphs and Hochschild cohomology Journal of Homotopy and Related Structures. 11: 209-230. DOI: 10.1007/S40062-015-0103-1  0.344
2016 Alim M, Yau ST, Zhou J. Airy Equation for the Topological String Partition Function in a Scaling Limit Letters in Mathematical Physics. 1-11. DOI: 10.1007/S11005-016-0840-Z  0.339
2016 Lin H, Wu B, Yau S. Heterotic String Compactification and New Vector Bundles Communications in Mathematical Physics. 345: 457-475. DOI: 10.1007/S00220-016-2679-7  0.376
2016 Alim M, Movasati H, Scheidegger E, Yau S. Gauss-Manin Connection in Disguise: Calabi-Yau Threefolds Communications in Mathematical Physics. 344: 889-914. DOI: 10.1007/S00220-016-2640-9  0.407
2016 Chen PN, Huang LH, Wang MT, Yau ST. On the Validity of the Definition of Angular Momentum in General Relativity Annales Henri Poincare. 17: 253-270. DOI: 10.1007/S00023-015-0402-4  0.604
2016 Xie D, Yau ST. Semicontinuity of 4d N = 2 spectrum under renormalization group flow Journal of High Energy Physics. 2016. DOI: 10.1007/Jhep03(2016)094  0.323
2015 Bauer F, Horn P, Lin Y, Lippner G, Mangoubi D, Yau ST. Li-Yau inequality on graphs Journal of Differential Geometry. 99: 359-405. DOI: 10.4310/Jdg/1424880980  0.318
2015 Grigor'Yan A, Lin Y, Muranov Y, Yau ST. Cohomology of digraphs and (undirected) graphs Asian Journal of Mathematics. 19: 887-932. DOI: 10.4310/Ajm.2015.V19.N5.A5  0.35
2015 Ray S, Miller WA, Alsing PM, Yau ST. Adiabatic isometric mapping algorithm for embedding 2-surfaces in Euclidean 3-space Classical and Quantum Gravity. 32. DOI: 10.1088/0264-9381/32/23/235012  0.364
2015 Wu D, Yau ST. Negative holomorphic curvature and positive canonical bundle Inventiones Mathematicae. DOI: 10.1007/S00222-015-0621-9  0.307
2015 Lau SC, Tseng LS, Yau ST. Non-Kähler SYZ Mirror Symmetry Communications in Mathematical Physics. 340: 145-170. DOI: 10.1007/S00220-015-2454-1  0.59
2015 Chen PN, Wang MT, Yau ST. Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity Communications in Mathematical Physics. 338: 31-80. DOI: 10.1007/S00220-015-2381-1  0.551
2015 Fei T, Yau ST. Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients Communications in Mathematical Physics. 338: 1183-1195. DOI: 10.1007/S00220-015-2374-0  0.306
2015 Fu J, Yau ST, Zhou W. Complete cscK Metrics on the Local Models of the Conifold Transition Communications in Mathematical Physics. 335: 1215-1233. DOI: 10.1007/S00220-015-2337-5  0.362
2015 Gao P, He YH, Yau ST. Extremal Bundles on Calabi–Yau Threefolds Communications in Mathematical Physics. 336: 1167-1200. DOI: 10.1007/S00220-014-2271-Y  0.336
2014 Grigor’Yan A, Lin Y, Muranov Y, Yau ST. Homotopy theory for digraphs Pure and Applied Mathematics Quarterly. 10: 619-674. DOI: 10.4310/Pamq.2014.V10.N4.A2  0.323
2014 Liu K, Sun X, Yau ST. Goodness of canonical metrics on the moduli space of Riemann surfaces Pure and Applied Mathematics Quarterly. 10: 223-243. DOI: 10.4310/Pamq.2014.V10.N2.A2  0.361
2014 Alim M, Scheidegger E, Yau ST, Zhou J. Special polynomial rings, quasi modular forms and duality of topological strings Advances in Theoretical and Mathematical Physics. 18: 401-467. DOI: 10.4310/Atmp.2014.V18.N2.A4  0.354
2014 Yau ST, Zhang Y. The geometry on smooth toroidal compactifications of Siegel varieties American Journal of Mathematics. 136: 859-941. DOI: 10.1353/Ajm.2014.0024  0.328
2014 Lui LM, Lam KC, Yau ST, Gu X. Teichmüller mapping (T-Map) and its applications to landmark matching registration Siam Journal On Imaging Sciences. 7: 391-426. DOI: 10.1137/120900186  0.306
2014 Su Z, Sun J, Gu X, Luo F, Yau ST. Optimal mass transport for geometric modeling based on variational principles in convex geometry Engineering With Computers. 30: 475-486. DOI: 10.1007/S00366-014-0354-1  0.307
2014 Miller WA, McDonald JR, Alsing PM, Gu DX, Yau ST. Simplicial Ricci Flow Communications in Mathematical Physics. 329: 579-608. DOI: 10.1007/S00220-014-1911-6  0.327
2014 Chen PN, Wang MT, Yau ST. Minimizing Properties of Critical Points of Quasi-Local Energy Communications in Mathematical Physics. 329: 919-935. DOI: 10.1007/S00220-014-1909-0  0.339
2014 Tseng LS, Yau ST. Generalized Cohomologies and Supersymmetry Communications in Mathematical Physics. 326: 875-885. DOI: 10.1007/S00220-014-1895-2  0.312
2013 Dai J, Luo W, Zhang M, Gu X, Yau ST. Visualization of 2-dimensional Ricci flow Pure and Applied Mathematics Quarterly. 9: 417-435. DOI: 10.4310/Pamq.2013.V9.N3.A2  0.319
2013 Lian BH, Song R, Yau ST. Period integrals and tautological systems Journal of the European Mathematical Society. 15: 1457-1483. DOI: 10.4171/Jems/396  0.529
2013 Zeng W, Shi R, Wang Y, Yau ST, Gu X. Teichmüller shape descriptor and its application to alzheimer's disease study International Journal of Computer Vision. 105: 155-170. DOI: 10.1007/S11263-012-0586-8  0.32
2013 Lian BH, Yau ST. Period integrals of CY and general type complete intersections Inventiones Mathematicae. 191: 35-89. DOI: 10.1007/S00222-012-0391-6  0.366
2012 Wang Y, Shi J, Yin X, Gu X, Chan TF, Yau ST, Toga AW, Thompson PM. Brain surface conformal parameterization with the Ricci flow. Ieee Transactions On Medical Imaging. 31: 251-64. PMID 21926017 DOI: 10.1109/Tmi.2011.2168233  0.319
2012 Fu J, Li J, Yau S. Balanced metrics on non-Kähler Calabi-Yau threefolds Journal of Differential Geometry. 90: 81-129. DOI: 10.4310/Jdg/1335209490  0.349
2012 Yau S. Geometry of singular space Communications in Analysis and Geometry. 20: 1097-1134. DOI: 10.4310/Cag.2012.V20.N5.A7  0.332
2012 Li S, Lian BH, Yau ST. Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces American Journal of Mathematics. 134: 1345-1348. DOI: 10.1353/Ajm.2012.0039  0.36
2012 Tsai CJ, Tseng LS, Yau ST. Symplectic cohomologies on phase space Journal of Mathematical Physics. 53. DOI: 10.1063/1.4748102  0.324
2012 Zeng W, Lui LM, Luo F, Chan TFC, Yau ST, Gu DX. Computing quasiconformal maps using an auxiliary metric and discrete curvature flow Numerische Mathematik. 121: 671-703. DOI: 10.1007/S00211-012-0446-Z  0.323
2011 Yau S. A survey of geometric structure in geometric analysis Surveys in Differential Geometry. 16: 325-348. DOI: 10.4310/Sdg.2011.V16.N1.A7  0.382
2011 Yin X, Li Y, Han W, Luo F, Gu XD, Yau S. Computing shortest words via shortest loops on hyperbolic surfaces Computer-Aided Design. 43: 1449-1456. DOI: 10.1016/J.Cad.2011.08.017  0.304
2011 Chen P, Wang M, Yau S. Evaluating Quasilocal Energy and Solving Optimal Embedding Equation at Null Infinity Communications in Mathematical Physics. 308: 845-863. DOI: 10.1007/S00220-011-1362-2  0.337
2011 Gu XD, Zeng W, Luo F, Yau ST. Numerical computation of surface conformal mappings Computational Methods and Function Theory. 11: 747-787. DOI: 10.1007/Bf03321885  0.314
2010 Yau S. Quasi-local mass in general relativity Surveys in Differential Geometry. 15: 421-434. DOI: 10.4310/Sdg.2010.V15.N1.A12  0.32
2010 Lin Y, Yau ST. Ricci curvature and eigenvalue estimate on locally finite graphs Mathematical Research Letters. 17: 345-358. DOI: 10.4310/Mrl.2010.V17.N2.A13  0.305
2010 Lin Y, Lippner G, Mangoubi D, Yau S. Nodal geometry of graphs on surfaces Discrete and Continuous Dynamical Systems. 28: 1291-1298. DOI: 10.3934/Dcds.2010.28.1291  0.301
2010 Luo W, Dai J, Gu X, Yau S. Numerical conformal mapping of multiply connected domains to regions with circular boundaries Journal of Computational and Applied Mathematics. 233: 2940-2947. DOI: 10.1016/J.Cam.2009.11.038  0.307
2010 Yau ST. Metrics on complex manifolds Science China Mathematics. 53: 565-572. DOI: 10.1007/S11425-010-0048-0  0.351
2009 Wang MT, Yau ST. Quasilocal mass in general relativity. Physical Review Letters. 102: 021101. PMID 19257261 DOI: 10.1103/Physrevlett.102.021101  0.328
2009 Liu K, Sun X, Yau S. Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces Surveys in Differential Geometry. 14: 221-260. DOI: 10.4310/Sdg.2009.V14.N1.A9  0.336
2009 Yau S. Calabi-Yau manifold Scholarpedia. 4: 6524. DOI: 10.4249/Scholarpedia.6524  0.382
2009 Fu J, Tseng L, Yau S. Local Heterotic Torsional Models Communications in Mathematical Physics. 289: 1151-1169. DOI: 10.1007/S00220-009-0789-1  0.338
2009 Wang M, Yau S. Isometric embeddings into the Minkowski space and new quasi-local mass Communications in Mathematical Physics. 288: 919-942. DOI: 10.1007/S00220-009-0745-0  0.4
2009 Grigorian S, Yau S. Local Geometry of the G 2 Moduli Space Communications in Mathematical Physics. 287: 459-488. DOI: 10.1007/S00220-008-0595-1  0.322
2008 Chi CY, Yau ST. A geometric approach to problems in birational geometry. Proceedings of the National Academy of Sciences of the United States of America. 105: 18696-701. PMID 19033184 DOI: 10.1073/Pnas.0809030105  0.611
2008 Fu J, Yau S. The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation Journal of Differential Geometry. 78: 369-428. DOI: 10.4310/Jdg/1207834550  0.309
2008 Kwan J, Lui LM, Wang Y, Yau S. Computation of curvatures using conformal parameterization Communications in Information and Systems. 8: 1-16. DOI: 10.4310/Cis.2008.V8.N1.A1  0.307
2008 Gu X, He Y, Jin M, Luo F, Qin H, Yau S. Manifold splines with a single extraordinary point Computer-Aided Design. 40: 676-690. DOI: 10.1016/J.Cad.2008.01.008  0.376
2008 Liu K, Sun X, Yau S. New Results on the Geometry of the Moduli Space of Riemann Surfaces Science China-Mathematics. 51: 632-651. DOI: 10.1007/S11425-008-0063-6  0.385
2008 Yau ST. Canonical metrics on complex manifold Science in China, Series a: Mathematics. 51: 503-508. DOI: 10.1007/S11425-007-0179-0  0.393
2008 Martelli D, Sparks J, Yau S. Sasaki-Einstein manifolds and volume minimisation Communications in Mathematical Physics. 280: 611-673. DOI: 10.1007/S00220-008-0479-4  0.4
2007 Wang Y, Lui LM, Gu X, Hayashi KM, Chan TF, Toga AW, Thompson PM, Yau ST. Brain surface conformal parameterization using Riemann surface structure. Ieee Transactions On Medical Imaging. 26: 853-65. PMID 17679336 DOI: 10.1109/Tmi.2007.895464  0.321
2007 Wang M, Yau S. A generalization of Liu-Yau's quasi-local mass Communications in Analysis and Geometry. 15: 249-282. DOI: 10.4310/Cag.2007.V15.N2.A2  0.399
2007 Dai J, Kim J, Zeng H, Gu X, Yau S. Topology evolutions of silhouettes Journal of Zhejiang University Science. 8: 1671-1680. DOI: 10.1631/Jzus.2007.A1671  0.318
2007 Becker M, Tseng L, Yau S. Moduli space of torsional manifolds Nuclear Physics. 786: 119-134. DOI: 10.1016/J.Nuclphysb.2007.07.006  0.399
2007 Dai J, Luo W, Jin M, Zeng W, He Y, Yau S, Gu X. Geometric accuracy analysis for discrete surface approximation Computer Aided Geometric Design. 24: 323-338. DOI: 10.1016/J.Cagd.2007.04.004  0.334
2007 Gauntlett JP, Martelli D, Sparks J, Yau S. Obstructions to the Existence of Sasaki–Einstein Metrics Communications in Mathematical Physics. 273: 803-827. DOI: 10.1007/S00220-007-0213-7  0.316
2006 Becker K, Becker M, Fu J, Tseng L, Yau S. Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory Nuclear Physics. 751: 108-128. DOI: 10.1016/J.Nuclphysb.2006.05.034  0.311
2006 Martelli D, Sparks J, Yau S. The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds Communications in Mathematical Physics. 268: 39-65. DOI: 10.1007/S00220-006-0087-0  0.359
2006 Yau ST. Spacetime and the geometry behind it Milan Journal of Mathematics. 74: 339-356. DOI: 10.1007/S00032-006-0053-5  0.364
2005 Li J, Yau S. The Existence of Supersymmetric String Theory with Torsion Journal of Differential Geometry. 70: 143-181. DOI: 10.4310/Jdg/1143572017  0.339
2005 Lian BH, Todorov A, Yau S. Maximal unipotent monodromy for complete intersection CY manifolds American Journal of Mathematics. 127: 1-50. DOI: 10.1353/Ajm.2005.0006  0.317
2005 Liu CM, Yau S. Positivity of quasi-local mass II Journal of the American Mathematical Society. 19: 181-204. DOI: 10.1090/S0894-0347-05-00497-2  0.335
2005 Wang L, Gu X, Mueller K, Yau ST. Uniform texture synthesis and texture mapping using global parameterization Visual Computer. 21: 801-810. DOI: 10.1007/S00371-005-0324-0  0.318
2005 Liu K, Sun X, Yau S. Geometric aspects of the moduli space of riemann surfaces Science China-Mathematics. 48: 97-122. DOI: 10.1007/Bf02884699  0.374
2004 Gu X, Wang Y, Chan TF, Thompson PM, Yau ST. Genus zero surface conformal mapping and its application to brain surface mapping. Ieee Transactions On Medical Imaging. 23: 949-58. PMID 15338729 DOI: 10.1109/Tmi.2004.831226  0.309
2004 Liu K, Sun X, Yau S. Canonical Metrics on the Moduli Space of Riemann Surfaces I Journal of Differential Geometry. 69: 163-216. DOI: 10.4310/jdg/1121540343  0.413
2004 Wang Y, Gu X, Yau S. Surface Segmentation Using Global Conformal Structure Communications in Information and Systems. 4: 165-180. DOI: 10.4310/Cis.2004.V4.N2.A3  0.307
2004 Jin M, Wang Y, Gu X, Yau S. Optimal Global Conformal Surface Parameterization for Visualization Communications in Information and Systems. 4: 117-134. DOI: 10.4310/Cis.2004.V4.N2.A1  0.324
2004 Liu C, Liu K, Yau S. On A-twisted moduli stack for curves from Witten's gauged linear sigma models Communications in Analysis and Geometry. 12: 233-280. DOI: 10.4310/Cag.2004.V12.N1.A12  0.352
2004 Hosono S, Lian BH, Oguiso K, Yau S. Autoequivalences of derived category of a K3 surface and monodromy transformations Journal of Algebraic Geometry. 13: 513-545. DOI: 10.1090/S1056-3911-04-00364-9  0.311
2004 Yamaguchi S, Yau S. Topological string partition functions as polynomials Journal of High Energy Physics. 2004: 47-47. DOI: 10.1088/1126-6708/2004/07/047  0.304
2003 Wang Y, Gu X, Yau S. Volumetric Harmonic Map Communications in Information and Systems. 3: 191-202. DOI: 10.4310/Cis.2003.V3.N3.A4  0.321
2003 Gu X, Wang Y, Yau S. Geometric Compression Using Riemann Surface Structure Communications in Information and Systems. 3: 171-182. DOI: 10.4310/Cis.2003.V3.N3.A2  0.35
2003 Grigor'yan A, Yau S. Isoperimetric properties of higher eigenvalues of elliptic operators American Journal of Mathematics. 125: 893-940. DOI: 10.1353/Ajm.2003.0024  0.322
2003 Hosono S, Lian BH, Oguiso K, Yau S. c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product Communications in Mathematical Physics. 241: 245-286. DOI: 10.1007/S00220-003-0927-0  0.338
2002 Gu X, Yau S. Computing conformal structures of surfaces Communications in Information and Systems. 2: 121-146. DOI: 10.4310/Cis.2002.V2.N2.A2  0.32
2002 Finster F, Kamran N, Smoller J, Yau S. Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr-Newman Black Hole Geometry Communications in Mathematical Physics. 230: 201-244. DOI: 10.1007/S002200200648  0.305
1999 Jost J, Yau S. Harmonic maps and rigidity theorems for spaces of nonpositive curvature Communications in Analysis and Geometry. 7: 681-694. DOI: 10.4310/Cag.1999.V7.N4.A1  0.343
1998 Yau ST, Yau SST. Finite Dimensional Filters with Nonlinear Drift, XI: Explicit Solution of the Generalized Kolmogorov Equation in Brockett-Mitter Program Advances in Mathematics. 140: 156-189. DOI: 10.1006/Aima.1998.1767  0.3
1997 Chung FRK, Yau S. Eigenvalue inequalities for graphs and convex subgraphs Communications in Analysis and Geometry. 5: 575-623. DOI: 10.4310/Cag.1997.V5.N4.A1  0.339
1996 Lian BH, Yau ST. Mirror maps, modular relations and hypergeometric series II Nuclear Physics B - Proceedings Supplements. 46: 248-262. DOI: 10.1016/0920-5632(96)00026-6  0.319
1996 Lian BH, Yau S. Arithmetic Properties Of Mirror Map And Quantum Coupling Communications in Mathematical Physics. 176: 163-191. DOI: 10.1007/Bf02099367  0.326
1993 Yau S. Splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces Communications in Analysis and Geometry. 1: 473-486. DOI: 10.4310/Cag.1993.V1.N3.A5  0.387
1993 Jaffe A, Yau S. Mathematics and string theory Theory of Computing Systems \/ Mathematical Systems Theory. DOI: 10.2172/6327345  0.348
1993 Jost J, Yau ST. A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry Acta Mathematica. 170: 221-254. DOI: 10.1007/Bf02392786  0.328
1992 Yau S, Gao Y. Obstacle problem for von Kármán equations Advances in Applied Mathematics. 13: 123-141. DOI: 10.1016/0196-8858(92)90005-H  0.304
1992 Meeks WH, Yau S. The Topological Uniqueness Of Complete Minimal-Surfaces Of Finite Topological Type Topology. 31: 305-316. DOI: 10.1016/0040-9383(92)90023-B  0.382
1991 Greene BR, Roan SS, Yau ST. Geometric singularities and spectra of Landau-Ginzburg models Communications in Mathematical Physics. 142: 245-259. DOI: 10.1007/Bf02102062  0.396
1990 Greene BR, Shapere A, Vafa C, Yau S. Stringy cosmic strings and noncompact Calabi-Yau manifolds Nuclear Physics B. 337: 1-36. DOI: 10.1016/0550-3213(90)90248-C  0.373
1988 Schoen R, Yau ST. Conformally flat manifolds, Kleinian groups and scalar curvature Inventiones Mathematicae. 92: 47-71. DOI: 10.1007/Bf01393992  0.44
1986 Cheng S, Yau S. Complete affine hypersurfaces. Part I. The completeness of affine metrics Communications On Pure and Applied Mathematics. 39: 839-866. DOI: 10.1002/Cpa.3160390606  0.529
1985 Jost J, Yau S. A strong rigidity theorem for a certain class of compact complex analytic surfaces Mathematische Annalen. 271: 143-152. DOI: 10.1007/Bf01455803  0.347
1984 Cheng S, Li P, Yau S. Heat-Equations On Minimal Submanifolds And Their Applications American Journal of Mathematics. 106: 1033-1065. DOI: 10.2307/2374272  0.546
1984 Yau S, Meeks WH. Chapter VIII The Equivariant Loop Theorem for Three-Dimensional Manifolds and a Review of the Existence Theorems for Minimal Surfaces Pure and Applied Mathematics. 112: 153-163. DOI: 10.1016/S0079-8169(08)61640-2  0.384
1983 Freedman M, Yau S. Homotopically trivial symmetries of haken manifolds are toral Topology. 22: 179-189. DOI: 10.1016/0040-9383(83)90030-7  0.357
1983 Schoen R, Yau ST. The existence of a black hole due to condensation of matter Communications in Mathematical Physics. 90: 575-579. DOI: 10.1007/Bf01216187  0.43
1982 Meeks W, Simon L, Yau S. Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature Annals of Mathematics. 116: 621. DOI: 10.2307/2007026  0.627
1982 Meeks WH, Yau S. The Classical Plateau Problem And The Topology Of Three-Dimensional Manifolds Topology. 21: 409-442. DOI: 10.1016/0040-9383(82)90021-0  0.385
1982 Li P, Yau S. A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces Inventiones Mathematicae. 69: 269-291. DOI: 10.1007/Bf01399507  0.326
1982 Meeks WW, Yau S. The existence of embedded minimal surfaces and the problem of uniqueness Mathematische Zeitschrift. 179: 151-168. DOI: 10.1007/Bf01214308  0.37
1981 Cheng SY, Li P, Yau S. On The Upper Estimate Of The Heat Kernel Of A Complete Riemannian Manifold American Journal of Mathematics. 103: 1021. DOI: 10.2307/2374257  0.312
1980 Meeks WH, Yau S. Topology of three dimensional manifolds and the embedding problems in minimal surface theory Annals of Mathematics. 112: 441. DOI: 10.2307/1971088  0.35
1980 Siu Y, Yau S. Compact Kähler Manifolds of Positive Bisectional Curvature. Inventiones Mathematicae. 59: 189-204. DOI: 10.1007/Bf01390043  0.324
1980 Cheng S‐, Yau S‐. On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation Communications On Pure and Applied Mathematics. 33: 507-544. DOI: 10.1002/Cpa.3160330404  0.576
1979 Schoen RM, Yau ST. Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Proceedings of the National Academy of Sciences of the United States of America. 76: 1024-5. PMID 16592627 DOI: 10.1073/Pnas.76.3.1024  0.366
1979 Schoen R, Yau S. Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature Annals of Mathematics. 110: 127. DOI: 10.2307/1971247  0.556
1979 Siu Y, Yau S. Errata to the Paper "Complete Kähler Manifolds with Nonpositive Curvature of Faster than Quadratic Decay" Annals of Mathematics. 109: 621. DOI: 10.2307/1971230  0.334
1979 Schoen R, Yau ST. Positivity of the total mass of a general space-time Physical Review Letters. 43: 1457-1459. DOI: 10.1103/Physrevlett.43.1457  0.533
1979 Schoen RM, Yau ST. Proof of the positive-action conjecture in quantum relativity Physical Review Letters. 42: 547-548. DOI: 10.1103/Physrevlett.42.547  0.524
1979 Schoen R, Yau ST. On the structure of manifolds with positive scalar curvature Manuscripta Mathematica. 28: 159-183. DOI: 10.1007/Bf01647970  0.541
1978 Schoen R, Yau ST. Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. Proceedings of the National Academy of Sciences of the United States of America. 75: 2567. PMID 16592534 DOI: 10.1073/Pnas.75.6.2567  0.563
1978 Yau S. A General Schwarz Lemma For Kahler Manifolds. American Journal of Mathematics. 100: 197. DOI: 10.2307/2373880  0.34
1978 Schoen R, Yau ST. On univalent harmonic maps between surfaces Inventiones Mathematicae. 44: 265-278. DOI: 10.1007/Bf01403164  0.498
1978 Yau S‐. On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I Communications On Pure and Applied Mathematics. 31: 339-411. DOI: 10.1002/Cpa.3160310304  0.303
1977 Yau ST. Calabi's conjecture and some new results in algebraic geometry. Proceedings of the National Academy of Sciences of the United States of America. 74: 1798-9. PMID 16592394 DOI: 10.1073/Pnas.74.5.1798  0.385
1977 Siu Y, Yau S. Complete Kahler manifolds with nonpositive curvature of faster than quadratic decay1 Annals of Mathematics. 105: 225. DOI: 10.2307/1970998  0.387
1977 Cheng SY, Yau ST. Hypersurfaces with constant scalar curvature Mathematische Annalen. 225: 195-204. DOI: 10.1007/Bf01425237  0.594
1977 Cheng S‐, Yau S‐. On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u) Communications On Pure and Applied Mathematics. 30: 41-68. DOI: 10.1002/Cpa.3160300104  0.532
1976 Siu YT, Yau ST. On the structure of complete simply-connected Kähler manifolds with nonpositive curvature. Proceedings of the National Academy of Sciences of the United States of America. 73: 1008. PMID 16592305 DOI: 10.1073/Pnas.73.4.1008  0.369
1976 Cheng S, Yau S. Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces Annals of Mathematics. 104: 407-419. DOI: 10.2307/1970963  0.57
1976 Cheng S‐, Yau S‐. On the regularity of the solution of the n‐dimensional Minkowski problem Communications On Pure and Applied Mathematics. 29: 495-516. DOI: 10.1002/Cpa.3160290504  0.57
1975 Yau S. Isoperimetric constants and the first eigenvalue of a compact riemannian manifold Annales Scientifiques De L Ecole Normale Superieure. 8: 487-507. DOI: 10.24033/Asens.1299  0.352
1975 Schoen R, Simon L, Yau ST. Curvature estimates for minimal hypersurfaces Acta Mathematica. 134: 275-288. DOI: 10.1007/Bf02392104  0.597
1974 Yau S. Curvature Preserving Diffeomorphisms Annals of Mathematics. 100: 121. DOI: 10.2307/1970843  0.339
1974 Yau ST. On the curvature of compact Hermitian manifolds Inventiones Mathematicae. 25: 213-239. DOI: 10.1007/Bf01389728  0.385
1974 Yau ST. Non-existence of continuous convex functions on certain Riemannian manifolds Mathematische Annalen. 207: 269-270. DOI: 10.1007/Bf01351342  0.38
1973 Yau ST. Some global theorems on non-complete surfaces Commentarii Mathematici Helvetici. 48: 177-187. DOI: 10.1007/Bf02566120  0.332
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