SHING-TUNG YAU

LIST OF PUBLICATION

[1]       Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. IV. Surveys in differential geometry, 475--496, Surv. Differ. Geom., VII, International Press, Somerville, MA, 2000.

[2]       Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. Surveys in Differential Geometry, VII. International Press, Somerville, MA, 2000. iv+696 pp. ISBN: 1-57146-069-1

[3]       Finster, Felix; Smoller, Joel; Yau, Shing-Tung Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Adv. Theor. Math. Phys. 4 (2000), no. 6, 1231--1257.

[4]       Yau, Shing-Tung; Yau, Stephen S.-T. Real-time numerical solution to Duncan-Mortensen-Zakai equation. Foundations of computational mathematics (Oxford, 1999), 361--400, London Math. Soc. Lecture Note Ser., 284, Cambridge Univ. Press, Cambridge, 2001.

[5]       Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Adv. Theor. Math. Phys. 4 (2000), no. 6, 1319--1341.

[6]       Lian, Bong H.; Yau, Shing-Tung A tour of mirror symmetry. First International Congress of Chinese Mathematicians (Beijing, 1998), 115--127, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.

[7]       Chen, Beifang; Yau, Shing-Tung; Yeh, Yeong-Nan Graph homotopy and Graham homotopy. Selected papers in honor of Helge Tverberg. Discrete Math. 241 (2001), no. 1-3, 153--170.

[8]       Current developments in mathematics 2000. Edited by B. Mazur, W. Schmid, S. T. Yau, J. de Jong, D. Jerison and G. Lustig. International Press, Somerville, MA, 2001. iv+253 pp. ISBN: 1-57146-079-9

[9]       Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999), 209--225, AMS/IP Stud. Adv. Math., 23, Amer. Math. Soc., Providence, RI, 2001.

[10]   Yau, Shing-Tung; Zhang, Wen Nonlinear and linear elastic impact theory. Cathleen Morawetz: a great mathematician. Methods Appl. Anal. 7 (2000), no. 3, 591--604.

[11]   Chung, Fan; Grigor\cprime yan, Alexander; Yau, Shing-Tung Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs. Comm. Anal. Geom. 8 (2000), no. 5, 969--1026.

[12]   Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. III. Asian J. Math. 3 (1999), no. 4, 771--800.

[13]   Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds. Proceedings of the school held at Harvard University, Cambridge, MA, January 1999. Edited by Cumrun Vafa and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 23. American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2001. x+377 pp. ISBN: 0-8218-2159-8

[14]   Lian, Bong H.; Yau, Shing-Tung Differential equations from mirror symmetry. Surveys in differential geometry: differential geometry inspired by string theory, 510--526, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999.

[15]   Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle, a survey. Current developments in mathematics, 1998 (Cambridge, MA), 35--82, Int. Press, Somerville, MA, 1999.

[16]   Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung Erratum: "Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry". Comm. Pure Appl. Math. 53 (2000), no. 9, 1201.

[17]   Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Comm. Pure Appl. Math. 53 (2000), no. 7, 902--929.

[18]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung The interaction of Dirac particles with non-abelian gauge fields and gravity---bound states. Nuclear Phys. B 584 (2000), no. 1-2, 387--414.

[19]   Yau, S.-T. Review of geometry and analysis. Kodaira's issue. Asian J. Math. 4 (2000), no. 1, 235--278.

[20]   Chiang, T.-M.; Klemm, A.; Yau, S.-T.; Zaslow, E. Local mirror symmetry: calculations and interpretations. Adv. Theor. Math. Phys. 3 (1999), no. 3, 495--565.

[21]   Yau, Shing-Tung; Yau, Stephen S.-T. Real time solution of nonlinear filtering problem without memory. I. Math. Res. Lett. 7 (2000), no. 5-6, 671--693.

[22]   Andreas, Björn; Yau, Shing-Tung; Curio, Gottfried; Ruipérez, Daniel Hernández Fibrewise $T$-duality for D-branes on elliptic Calabi-Yau. J. High Energy Phys. 2001, no. 3, Paper 20, 13 pp.

[23]   Witten, Edward; Yau, S.-T. Connectedness of the boundary in the AdS/CFT correspondence. Adv. Theor. Math. Phys. 3 (1999), no. 6, 1635--1655 (2000).

[24]   Yau, S.-T. Review of geometry and analysis. Mathematics: frontiers and perspectives, 353--401, Amer. Math. Soc., Providence, RI, 2000.

[25]   First International Congress of Chinese Mathematicians. Proceedings of the congress (ICCM98) held in Beijing, December 12--16, 1998. Edited by Lo Yang and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 20. American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2001. lxxvi+518 pp. ISBN: 0-8218-2652-2

[26]   Einstein manifolds with zero Ricci curvature. Surveys in differential geometry: essays on Einstein manifolds, 1--14, Surv. Differ. Geom., VI, Int. Press, Boston, MA, 1999.

[27]   Chung, Fan; Yau, S.-T. A Harnack inequality for Dirichlet eigenvalues. J. Graph Theory 34 (2000), no. 4, 247--257.

[28]   Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T. Asymptotic form of zero energy wave functions in supersymmetric matrix models. Nuclear Phys. B 567 (2000), no. 1-2, 231--248.

[29]   Chung, Fan; Yau, S.-T. Discrete Green's functions. In memory of Gian-Carlo Rota. J. Combin. Theory Ser. A 91 (2000), no. 1-2, 191--214.

[30]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung Some recent progress in classical general relativity. J. Math. Phys. 41 (2000), no. 6, 3943--3963.

[31]   Current developments in mathematics, 1998. Proceedings of the seminar held in Cambridge, MA, 1998. Edited by B. Mazur, W. Schmid, S. T. Yau, D. Jerison, I. Singer and D. Stroock. International Press, Somerville, MA, 1999. vi+278 pp. ISBN: 1-57146-077-2

[32]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes. Michigan Math. J. 47 (2000), no. 1, 199--208.

[33]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background. J. Math. Phys. 41 (2000), no. 4, 2173--2194.

[34]   Surveys in differential geometry: differential geometry inspired by string theory. A supplement to the Journal of Differential Geometry. Edited by S.-T. Yau. Surveys in Differential Geometry, 5. International Press, Boston, MA, 1999. viii+569 pp. ISBN: 1-57146-070-5

[35]   Yau, S.-T. Open problems in geometry. J. Ramanujan Math. Soc. 15 (2000), no. 2, 125--134.

[36]   Lian, Bong H.; Yau, Shing-Tung On mirror symmetry. Algebra and geometry (Taipei, 1995), 207--213, Lect. Algebra Geom., 2, Internat. Press, Cambridge, MA, 1998.

[37]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung Particlelike solutions of the Einstein-Dirac equations. Phys. Rev. D (3) 59 (1999), no. 10, 104020, 19 pp.

[38]   Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. II. Sir Michael Atiyah: a great mathematician of the twentieth century. Asian J. Math. 3 (1999), no. 1, 109--146.

[39]   Jost, Jürgen; Yau, Shing-Tung Harmonic maps and rigidity theorems for spaces of nonpositive curvature. Comm. Anal. Geom. 7 (1999), no. 4, 681--694.

[40]   Yau, Shing-Tung; Yau, Stephen S.-T. Existence and decay estimates for time dependent parabolic equation with application to Duncan-Mortensen-Zakai equation. Mikio Sato: a great Japanese mathematician of the twentieth century. Asian J. Math. 2 (1998), no. 4, 1079--1149.

[41]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Comm. Math. Phys. 205 (1999), no. 2, 249--262.

[42]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung The coupling of gravity to spin and electromagnetism. Modern Phys. Lett. A 14 (1999), no. 16, 1053--1057.

[43]   Lian, Bong H.; Yau, Shing-Tung Integrality of certain exponential series. Algebra and geometry (Taipei, 1995), 215--227, Lect. Algebra Geom., 2, Internat. Press, Cambridge, MA, 1998.

[44]   Chung, Fan; Yau, S.-T. Coverings, heat kernels and spanning trees. Electron. J. Combin. 6 (1999), no. 1, Research Paper 12, 21 pp. (electronic).

[45]   Current developments in mathematics, 1996. Papers from the seminar held in Cambridge, MA, 1996. Edited by Raoul Bott, Arthur Jaffe, David Jerison, George Lusztig, Isadore Singer and S. T. Yau. International Press, Boston, MA, 1997. iv+212 pp. ISBN: 1-57146-035-7

[46]   Finster, Felix; Smoller, Joel; Yau, Shing-Tung Particle-like solutions of the Einstein-Dirac-Maxwell equations. Phys. Lett. A 259 (1999), no. 6, 431--436.

[47]   S. S. Chern. A great geometer of the twentieth century. Expanded edition. Edited by S.-T. Yau. International Press, Cambridge, MA, 1998. xxxii+331 pp. ISBN: 1-57146-098-5

[48]   Yau, Shing-Tung; Yau, Stephen S. T. Finite-dimensional filters with nonlinear drift. XI. Explicit solution of the generalized Kolmogorov equation in Brockett-Mitter program. Adv. Math. 140 (1998), no. 2, 156--189.

[49]   Grigor\cprime yan, A.; Yau, S.-T. Decomposition of a metric space by capacitors. Differential equations: La Pietra 1996 (Florence), 39--75, Proc. Sympos. Pure Math., 65, Amer. Math. Soc., Providence, RI, 1999.

[50]   Current developments in mathematics, 1997. Papers from the conference held in Cambridge, MA, 1997. Edited by Raoul Bott, Arthur Jaffe, David Jerison, George Lusztig, Isadore Singer and S. T. Yau. International Press, Boston, MA, 1999. ii+266 pp. ISBN: 1-57146-078-0

[51]   Yau, Shing-Tung Introduction to enumerative invariants. Mirror symmetry, III (Montreal, PQ, 1995), 69--75, AMS/IP Stud. Adv. Math., 10, Amer. Math. Soc., Providence, RI, 1999.

[52]   Surveys in differential geometry. Vol. III. A supplement to the Journal of Differential Geometry. Lectures on geometry and topology in honor of the 80th birthday of Chuan-Chih Hsiung held at Harvard University, Cambridge, MA, May 3--5, 1996. Edited by C.-C. Hsiung and S.-T. Yau. International Press, Boston, MA, 1998. x+339 pp. ISBN: 1-57146-067-5

[53]   Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung The Candelas-de la Ossa-Green-Parkes formula. String theory, gauge theory and quantum gravity (Trieste, 1997). Nuclear Phys. B Proc. Suppl. 67 (1998), 106--114.

[54]   Jost, Jürgen; Yau, Shing-Tung Harmonic maps and superrigidity. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 213--246, Internat. Press, Cambridge, MA, 1997.

[55]   Mirror symmetry. III. Proceedings of the Conference on Complex Geometry and Mirror Symmetry held at the University of Montreal, Montreal, PQ, 1995. Edited by Duong H. Phong, Luc Vinet and Shing-Tung Yau. AMS/IP Studies in Advanced Mathematics, 10. American Mathematical Society, Providence, RI; Université de Montréal, Centre de Recherches Mathématiques, Montreal, QC, 1999. x+312 pp. ISBN: 0-8218-1193-2

[56]   Klemm, A.; Lian, B.; Roan, S.-S.; Yau, S.-T. Calabi-Yau four-folds for M- and F-theory compactifications. Nuclear Phys. B 518 (1998), no. 3, 515--574.

[57]   Hoppe, Jens; Yau, Shing-Tung Some properties of matrix harmonics on $S\sp 2$. Comm. Math. Phys. 195 (1998), no. 1, 67--77.

[58]   Mirror symmetry. I. Revised reprint of Essays on mirror manifolds [Internat. Press, Hong Kong, 1992; MR 94b:32001]. Edited by Shing-Tung Yau. AMS/IP Studies in Advanced Mathematics, 9. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1998. xiv+444 pp. ISBN: 0-8218-0665-3

[59]   Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. I. Asian J. Math. 1 (1997), no. 4, 729--763.

[60]   Elliptic curves, modular forms & Fermat's last theorem. Proceedings of the Conference on Elliptic Curves and Modular Forms held at the Chinese University of Hong Kong, Hong Kong, December 18--21, 1993. Edited by John Coates and S. T. Yau. Second edition. International Press, Cambridge, MA, 1997. iv+340 pp. ISBN: 1-57146-049-7

[61]   Chung, F. R. K.; Yau, S.-T. Eigenvalue inequalities for graphs and convex subgraphs. Comm. Anal. Geom. 5 (1997), no. 4, 575--623.

[62]   Hamilton, Richard S.; Yau, Shing-Tung The Harnack estimate for the Ricci flow on a surface---revisited. Asian J. Math. 1 (1997), no. 3, 418--421.

[63]   Chung, F. R. K.; Graham, R. L.; Yau, S.-T. On sampling with Markov chains. Proceedings of the Seventh International Conference on Random Structures and Algorithms (Atlanta, GA, 1995). Random Structures Algorithms 9 (1996), no. 1-2, 55--77.

[64]   Yau, Shing Tung A remark on the existence of sphere with prescribed mean curvature. Asian J. Math. 1 (1997), no. 2, 293--294.

[65]   Chung, F. R. K.; Yau, S.-T. A combinatorial trace formula. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 107--116, Internat. Press, Cambridge, MA, 1997.

[66]   Schoen, R.; Yau, S. T. Lectures on harmonic maps. Conference Proceedings and Lecture Notes in Geometry and Topology, II. International Press, Cambridge, MA, 1997. vi+394 pp. ISBN: 1-57146-002-0

[67]   Chung, F. R. K.; Grigor\cprime yan, A.; Yau, S.-T. Eigenvalues and diameters for manifolds and graphs. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 79--105, Internat. Press, Cambridge, MA, 1997.

[68]   Yau, Shing-Tung An application of eigenvalue estimate to algebraic curves defined by congruence subgroups. Math. Res. Lett. 3 (1996), no. 2, 167--172.

[69]   Yau, Shing Tang A note on the distribution of critical points of eigenfunctions. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 315--317, Internat. Press, Cambridge, MA, 1997.

[70]   Lian, Bong H.; Yau, Shing-Tung Mirror maps, modular relations and hypergeometric series. II. $S$-duality and mirror symmetry (Trieste, 1995). Nuclear Phys. B Proc. Suppl. 46 (1996), 248--262.

[71]   Hosono, S.; Lian, B. H.; Yau, S.-T. GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. Comm. Math. Phys. 182 (1996), no. 3, 535--577.

[72]   Tsing Hua lectures on geometry & analysis. Lectures from the seminar held at Tsing Hua University, Hsinchu, 1990--1991. Edited by Shing-Tung Yau. International Press, Cambridge, MA, 1997. iv+322 pp. ISBN: 1-57146-042-X

[73]   Current developments in mathematics, 1995. Papers from the seminar held in Cambridge, MA, April 1995. Edited by Raoul Bott, Michael Hopkins, Arthur Jaffe, Isadore Singer, Daniel Stroock and Shing-Tung Yau. International Press, Cambridge, MA, 1994. ii+407 pp. ISBN: 1-57146-029-2

[74]   Shi, Wanxiong; Yau, S. T. Harmonic maps on complete noncompact Riemannian manifolds. A tribute to Ilya Bakelman (College Station, TX, 1993), 79--120, Discourses Math. Appl., 3, Texas A & M Univ., College Station, TX, 1994.

[75]   Chung, F. R. K.; Yau, S.-T. Logarithmic Harnack inequalities. Math. Res. Lett. 3 (1996), no. 6, 793--812.

[76]   Yau, Shing-Tung; Zaslow, Eric BPS states as symplectic invariants from string theory. Geometry and physics (Aarhus, 1995), 177--186, Lecture Notes in Pure and Appl. Math., 184, Dekker, New York, 1997.

[77]   Strominger, Andrew; Yau, Shing-Tung; Zaslow, Eric Mirror symmetry is $T$-duality. Nuclear Phys. B 479 (1996), no. 1-2, 243--259.

[78]   Hosono, S.; Lian, B. H.; Yau, S.-T. Maximal degeneracy points of GKZ systems. J. Amer. Math. Soc. 10 (1997), no. 2, 427--443.

[79]   Klemm, A.; Lian, B. H.; Roan, S. S.; Yau, S. T. A note on ODEs from mirror symmetry. Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993), 301--323, Progr. Math., 132, Birkhäuser Boston, Boston, MA, 1996.

[80]   Yau, S.-T.; Yau, S. S.-T. Explicit solution of a Kolmogorov equation. Appl. Math. Optim. 34 (1996), no. 3, 231--266.

[81]   Yau, Shing-Tung; Zaslow, Eric BPS states, string duality, and nodal curves on $K3$. Nuclear Phys. B 471 (1996), no. 3, 503--512.

[82]   Schoen, R.; Yau, S.-T. Lectures on differential geometry. Lecture notes prepared by Wei Yue Ding, Kung Ching Chang [Gong Qing Zhang], Jia Qing Zhong and Yi Chao Xu. Translated from the Chinese by Ding and S. Y. Cheng. Preface translated from the Chinese by Kaising Tso. Conference Proceedings and Lecture Notes in Geometry and Topology, I. International Press, Cambridge, MA, 1994. v+235 pp. ISBN: 1-57146-012-8

[83]   Mirror symmetry. II. Edited by B. Greene and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 1. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1997. xvi+844 pp. ISBN: 0-8218-0634-3

[84]   Shi, Wan-Xiong; Yau, S.-T. A note on the total curvature of a Kähler manifold. Math. Res. Lett. 3 (1996), no. 1, 123--132.

[85]   Lian, Bong H.; Yau, Shing-Tung Mirror symmetry, rational curves on algebraic manifolds and hypergeometric series. XIth International Congress of Mathematical Physics (Paris, 1994), 163--184, Internat. Press, Cambridge, MA, 1995.

[86]   Chung, F. R. K.; Grigor\cprime yan, A.; Yau, S.-T. Upper bounds for eigenvalues of the discrete and continuous Laplace operators. Adv. Math. 117 (1996), no. 2, 165--178.

[87]   Huisken, Gerhard; Yau, Shing-Tung Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature. Invent. Math. 124 (1996), no. 1-3, 281--311.

[88]   Chung, F. R. K.; Yau, S.-T. A Harnack inequality for homogeneous graphs and subgraphs. Turkish J. Math. 19 (1995), no. 2, 119--129.

[89]   Yau, Shing-Tung Harnack inequality for non-self-adjoint evolution equations. Math. Res. Lett. 2 (1995), no. 4, 387--399.

[90]   Yau, Shing-Tung Review on Kähler-Einstein metrics in algebraic geometry. Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), 433--443, Israel Math. Conf. Proc., 9, Bar-Ilan Univ., Ramat Gan, 1996.

[91]   Lian, Bong H.; Yau, Shing-Tung Arithmetic properties of mirror map and quantum coupling. Comm. Math. Phys. 176 (1996), no. 1, 163--191.

[92]   Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. Einstein-Yang/Mills black hole solutions. Chen Ning Yang, 209--220, Internat. Press, Cambridge, MA, 1995.

[93]   Chung, F. R. K.; Yau, S.-T. A Harnack inequality for homogeneous graphs and subgraphs. Comm. Anal. Geom. 2 (1994), no. 4, 627--640.

[94]   Surveys in differential geometry. Vol. II. A supplement to the Journal of Differential Geometry. Proceedings of the Conference on Geometry and Topology held at Harvard University, Cambridge, Massachusetts, April 23--25, 1993. Edited by C.-C. Hsiung and S.-T. Yau. International Press, Cambridge, MA, 1995. viii+456 pp. ISBN: 1-57146-027-6

[95]   Chung, F. R. K.; Yau, S.-T. Eigenvalues of graphs and Sobolev inequalities. Combin. Probab. Comput. 4 (1995), no. 1, 11--25.

[96]   Li, Jun; Yau, Shing-Tung; Zheng, Fangyang On projectively flat Hermitian manifolds. Comm. Anal. Geom. 2 (1994), no. 1, 103--109.

[97]   Yau, Shing-Tung On the Harnack inequalities of partial differential equations. Comm. Anal. Geom. 2 (1994), no. 3, 431--450.

[98]   Elliptic curves, modular forms, & Fermat's last theorem. Proceedings of the Conference on Elliptic Curves and Modular Forms held at the Chinese University of Hong Kong, Hong Kong, December 18--21, 1993. Edited by John Coates and S.-T. Yau. Series in Number Theory, I. International Press, Cambridge, MA, 1995. ii+191 pp. ISBN: 1-57146-026-8

[99]   Geometry, topology, & physics. For Raoul Bott. Including papers from the Geometry and Topology Conference held in honor of Raoul Bott at Harvard University, Cambridge, Massachusetts, April 1993. Edited by S.-T. Yau. Conference Proceedings and Lecture Notes in Geometry and Topology, IV. International Press, Cambridge, MA, 1995. iv+538 pp. ISBN: 1-57146-024-1

[100]      Chen Ning Yang. A great physicist of the twentieth century. Edited by C. S. Liu and S.-T. Yau. International Press, Cambridge, MA, 1995. viii+465 pp. ISBN: 1-57146-001-2

[101]      Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Nuclear Phys. B 433 (1995), no. 3, 501--552.

[102]      Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces. Comm. Math. Phys. 167 (1995), no. 2, 301--350.

[103]      Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing-Tung Upper bound for the first eigenvalue of algebraic submanifolds. Comment. Math. Helv. 69 (1994), no. 2, 199--207.

[104]      Perspectives in mathematical physics. Edited by Robert Penner and Shing-Tung Yau. Conference Proceedings and Lecture Notes in Mathematical Physics, III. International Press, Cambridge, MA, 1994. iii+307 pp. ISBN: 1-57146-009-8

[105]      Jost, Jürgen; Yau, Shing-Tung Correction to: "A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry" [Acta Math. 170 (1993), no. 2, 221--254; MR 94g:58053]. Acta Math. 173 (1994), no. 2, 307.

[106]      Hübsch, Tristan; Yau, Shing-Tung On the geometry of certain superconformal field theory paradigms (towards a quantum algebraic geometry). Algebraic geometry and related topics (Inchon, 1992), 121--149, Conf. Proc. Lecture Notes Algebraic Geom., I, Internat. Press, Cambridge, MA, 1993.

[107]      Jost, Jürgen; Yau, Shing-Tung Applications of quasilinear PDE to algebraic geometry and arithmetic lattices. Algebraic geometry and related topics (Inchon, 1992), 169--193, Conf. Proc. Lecture Notes Algebraic Geom., I, Internat. Press, Cambridge, MA, 1993.

[108]      Yau, Shing-Tung A splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces. Comm. Anal. Geom. 1 (1993), no. 3-4, 473--486.

[109]      Jost, Jürgen; Yau, Shing-Tung Harmonic mappings and algebraic varieties over function fields. Amer. J. Math. 115 (1993), no. 6, 1197--1227.

[110]      Jost, Jürgen; Yau, Shing-Tung Harmonic maps and superrigidity. Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990), 245--280, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc., Providence, RI, 1993.

[111]      Yau, Shing-Tung Open problems in geometry. Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990), 1--28, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc., Providence, RI, 1993.

[112]      Hübsch, Tristan; Yau, Shing-Tung An ${\rm SL}(2,C)$ action on chiral rings and the mirror map. Modern Phys. Lett. A 7 (1992), no. 35, 3277--3289.

[113]      Yau, S.-T.; Zheng, F. On a borderline class of non-positively curved compact Kähler manifolds. Math. Z. 212 (1993), no. 4, 587--599.

[114]      Cao, Huai Dong; Yau, Shing-Tung Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields. Math. Z. 211 (1992), no. 3, 485--504.

[115]      Jost, Jürgen; Yau, Shing-Tung A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Acta Math. 170 (1993), no. 2, 221--254.

[116]      Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. Existence of black hole solutions for the Einstein-Yang/Mills equations. Comm. Math. Phys. 154 (1993), no. 2, 377--401.

[117]      Chern---a great geometer of the twentieth century. Edited by Shing-Tung Yau. International Press, Hong Kong, 1992. vi+320 pp. ISBN: 962-7670-02-2

[118]      Essays on mirror manifolds. Edited by Shing-Tung Yau. International Press, Hong Kong, 1992. vi+502 pp. ISBN: 962-7670-01-4

[119]      Li, Peter; Yau, Shing-Tung Asymptotically flat complete Kähler manifolds. Complex geometry (Osaka, 1990), 131--144, Lecture Notes in Pure and Appl. Math., 143, Dekker, New York, 1993.

[120]      Differential geometry: Riemannian geometry. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 3. American Mathematical Society, Providence, RI, 1993. xxii+710 pp. ISBN: 0-8218-1496-6

[121]      Differential geometry: geometry in mathematical physics and related topics. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 2. American Mathematical Society, Providence, RI, 1993. xxii+655 pp. ISBN: 0-8218-1495-8

[122]      Differential geometry: partial differential equations on manifolds. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 1. American Mathematical Society, Providence, RI, 1993. xxii+560 pp. ISBN: 0-8218-1494-X

[123]      Yau, Shing-Tung; Lu, Ya Yan Reducing the symmetric matrix eigenvalue problem to matrix multiplications. SIAM J. Sci. Comput. 14 (1993), no. 1, 121--136.

[124]      Jost, Jürgen; Yau, Shing-Tung Harmonic maps and group representations. Differential geometry, 241--259, Pitman Monogr. Surveys Pure Appl. Math., 52, Longman Sci. Tech., Harlow, 1991.

[125]      Meeks, William H., III; Yau, Shing-Tung The topological uniqueness of complete minimal surfaces of finite topological type. Topology 31 (1992), no. 2, 305--316.

[126]      Yau, Shing-Tung; Gao, Yang Obstacle problem for von Kármán equations. Adv. in Appl. Math. 13 (1992), no. 2, 123--141.

[127]      Smoller, Joel A.; Wasserman, Arthur G.; Yau, S.-T.; McLeod, J. B. Smooth static solutions of the Einstein/Yang-Mills equations. Comm. Math. Phys. 143 (1991), no. 1, 115--147.

[128]      Smoller, J.; Wasserman, A.; Yau, S. T.; McLeod, B. Smooth static solutions of the Einstein-Yang/Mills equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 239--242.

[129]      Yau, S.-T.; Zheng, F. On projective manifolds covered by space $C\sp n$. International Symposium in Memory of Hua Loo Keng, Vol. II (Beijing, 1988), 323--332, Springer, Berlin, 1991.

[130]      Li, Peter; Treibergs, Andrejs; Yau, Shing-Tung How to hear the volume of convex domains. Geometry and nonlinear partial differential equations (Fayetteville, AR, 1990), 109--117, Contemp. Math., 127, Amer. Math. Soc., Providence, RI, 1992.

[131]      Greene, B. R.; Roan, S.-S.; Yau, S.-T. Geometric singularities and spectra of Landau-Ginzburg models. Comm. Math. Phys. 142 (1991), no. 2, 245--259.

[132]      Yau, Shing-Tung A review of complex differential geometry. Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989), 619--625, Proc. Sympos. Pure Math., 52, Part 2, Amer. Math. Soc., Providence, RI, 1991.

[133]      Tian, Gang; Yau, Shing-Tung Complete Kähler manifolds with zero Ricci curvature. II. Invent. Math. 106 (1991), no. 1, 27--60.

[134]      Jost, Jürgen; Yau, Shing-Tung Harmonic maps and Kähler geometry. Prospects in complex geometry (Katata and Kyoto, 1989), 340--370, Lecture Notes in Math., 1468, Springer, Berlin, 1991.

[135]      Lu, Ya Yan; Yau, Shing-Tung Eigenvalues of the Laplacian through boundary integral equations. SIAM J. Matrix Anal. Appl. 12 (1991), no. 3, 597--609.

[136]      Yau, S.-T.; Zheng, F. Negatively $\frac14$-pinched Riemannian metric on a compact Kähler manifold. Invent. Math. 103 (1991), no. 3, 527--535.

[137]      Lu, Steven Shin-Yi; Yau, S.-T. Holomorphic curves in surfaces of general type. Proc. Nat. Acad. Sci. U.S.A. 87 (1990), no. 1, 80--82.

[138]      Greene, Brian R.; Shapere, Alfred; Vafa, Cumrun; Yau, Shing-Tung Stringy cosmic strings and noncompact Calabi-Yau manifolds. Nuclear Phys. B 337 (1990), no. 1, 1--36.

[139]      Li, Peter; Yau, Shing-Tung Curvature and holomorphic mappings of complete Kähler manifolds. Compositio Math. 73 (1990), no. 2, 125--144.

[140]      Li, J.; Yau, S.-T.; Zheng, F. A simple proof of Bogomolov's theorem on class ${\rm VII}\sb 0$ surfaces with $b\sb 2=0$. Illinois J. Math. 34 (1990), no. 2, 217--220.

[141]      Tian, G.; Yau, Shing-Tung Complete Kähler manifolds with zero Ricci curvature. I. J. Amer. Math. Soc. 3 (1990), no. 3, 579--609.

[142]      Uhlenbeck, K.; Yau, S.-T. A note on our previous paper: "On the existence of Hermitian-Yang-Mills connections in stable vector bundles" [Comm. Pure Appl. Math. 39 (1986), S257--S293; MR 88i:58154]. Comm. Pure Appl. Math. 42 (1989), no. 5, 703--707.

[143]      Schoen, Richard; Yau, Shing-Tung The structure of manifolds with positive scalar curvature. Directions in partial differential equations (Madison, WI, 1985), 235--242, Publ. Math. Res. Center Univ. Wisconsin, 54, Academic Press, Boston, MA, 1987.

[144]      Mathematical aspects of string theory. Proceedings of the conference held at the University of California, San Diego, California, July 21--August 1, 1986. Edited by S.-T. Yau. Advanced Series in Mathematical Physics, 1. World Scientific Publishing Co., Singapore, 1987. x+654 pp. ISBN: 9971-50-273-9; 9971-50-274-7

[145]      Christodoulou, D.; Yau, S.-T. Some remarks on the quasi-local mass. Mathematics and general relativity (Santa Cruz, CA, 1986), 9--14, Contemp. Math., 71, Amer. Math. Soc., Providence, RI, 1988.

[146]      Hatfield, B.; Yau, S.-T. An exchange symmetry expansion for the $2$-point correlation function of the nonlinear Schrödinger model. Nuclear Phys. B 305 (1988), no. 1, FS23, 16--32.

[147]      Yau, S.-T. Uniformization of geometric structures. The mathematical heritage of Hermann Weyl (Durham, NC, 1987), 265--274, Proc. Sympos. Pure Math., 48, Amer. Math. Soc., Providence, RI, 1988.

[148]      Margerin, Christophe Fibrés stables et métriques d'Hermite-Einstein (d'après S. K. Donaldson-K. K. Uhlenbeck- S. T. Yau). (French) [Stable bundles and Hermite-Einstein metrics after S. K. Donaldson, K. K. Uhlenbeck, S. T. Yau] Séminaire Bourbaki, Vol. 1986/87. Astérisque No. 152-153 (1987), 5, 263--283 (1988).

[149]      Schoen, R.; Yau, S.-T. Conformally flat manifolds, Kleinian groups and scalar curvature. Invent. Math. 92 (1988), no. 1, 47--71.

[150]      Roan, Shi-Shyr; Yau, Shing-Tung On Ricci flat $3$-fold. Acta Math. Sinica (N.S.) 3 (1987), no. 3, 256--288.

[151]      Jost, J.; Yau, S.-T. On the rigidity of certain discrete groups and algebraic varieties. Math. Ann. 278 (1987), no. 1-4, 481--496.

[152]      Yau, Shing-Tung Some recent developments in general relativity. General relativity and gravitation (Stockholm, 1986), 247--252, Cambridge Univ. Press, Cambridge, 1987.

[153]      Tian, Gang; Yau, Shing-Tung Kähler-Einstein metrics on complex surfaces with $C\sb 1>0$. Comm. Math. Phys. 112 (1987), no. 1, 175--203.

[154]      Uhlenbeck, K.; Yau, S.-T. On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Frontiers of the mathematical sciences: 1985 (New York, 1985). Comm. Pure Appl. Math. 39 (1986), no. S, suppl., S257--S293.

[155]      Yau, Shing-Tung Nonlinear analysis in geometry. Enseign. Math. (2) 33 (1987), no. 1-2, 109--158.

[156]      Yau, Shing-Tung A survey on the interaction between mathematical physics and geometry. Internat. J. Modern Phys. A 1 (1986), no. 4, 881--886.

[157]      Yau, Shing-Tung Nonlinear analysis in geometry. Monographies de L'Enseignement Mathématique [Monographs of L'Enseignement Mathématique], 33. Série des Conférences de l'Union Mathématique Internationale [Lecture Series of the International Mathematics Union], 8. L'Enseignement Mathématique, Geneva, 1986. 54 pp.

[158]      Jost, J.; Yau, S.-T. The strong rigidity of locally symmetric complex manifolds of rank one and finite volume. Math. Ann. 275 (1986), no. 2, 291--304.

[159]      Cheng, S. Y.; Yau, S.-T. Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of ${\rm SU}(2,1)$. Complex differential geometry and nonlinear differential equations (Brunswick, Maine, 1984), 31--44, Contemp. Math., 49, Amer. Math. Soc., Providence, RI, 1986.

[160]      Cheng, Shiu Yuen; Yau, Shing-Tung Complete affine hypersurfaces. I. The completeness of affine metrics. Comm. Pure Appl. Math. 39 (1986), no. 6, 839--866.

[161]      Gao, L. Zhiyong; Yau, S.-T. The existence of negatively Ricci curved metrics on three-manifolds. Invent. Math. 85 (1986), no. 3, 637--652.

[162]      Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T. An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12 (1985), no. 2, 319--333.

[163]      Yau, Shing-Tung Compact three-dimensional Kähler manifolds with zero Ricci curvature. Symposium on anomalies, geometry, topology (Chicago, Ill., 1985), 395--406, World Sci. Publishing, Singapore, 1985.

[164]      Li, Peter; Yau, Shing-Tung On the parabolic kernel of the Schrödinger operator. Acta Math. 156 (1986), no. 3-4, 153--201.

[165]      Nirenberg, Louis The work of Yau Shing-Tung. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 15--19, PWN, Warsaw, 1984.

[166]      Yau, Shing-Tung On the structure of complete manifolds with positive scalar curvature. Differential geometry and complex analysis, 219--222, Springer, Berlin, 1985.

[167]      Jost, Jürgen; Yau, Shing-Tung A strong rigidity theorem for a certain class of compact complex analytic surfaces. Math. Ann. 271 (1985), no. 1, 143--152.

[168]      Li, Peter; Schoen, Richard; Yau, Shing-Tung On the isoperimetric inequality for minimal surfaces. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11 (1984), no. 2, 237--244.

[169]      Cheng, Shiu Yuen; Li, Peter; Yau, Shing-Tung Heat equations on minimal submanifolds and their applications. Amer. J. Math. 106 (1984), no. 5, 1033--1065.

[170]      Mok, Ngaiming; Yau, Shing-Tung Completeness of the Kähler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions. The mathematical heritage of Henri Poincaré, Part 1 (Bloomington, Ind., 1980), 41--59, Proc. Sympos. Pure Math., 39, Amer. Math. Soc., Providence, RI, 1983.

[171]      Yau, Shing-Tung A survey on Kähler-Einstein metrics. Complex analysis of several variables (Madison, Wis., 1982), 285--289, Proc. Sympos. Pure Math., 41, Amer. Math. Soc., Providence, RI, 1984.

[172]      Cheng, Shiu Yuen; Yau, Shing-Tung The real Monge-Ampère equation and affine flat structures. Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, Vol. 1, 2, 3 (Beijing, 1980), 339--370, Science Press, Beijing, 1982.

[173]      Kobayashi, Shoshichi The work of Shing Tung Yau. (Japanese) S\=ugaku 35 (1983), no. 2, 121--127.

[174]      Schoen, Richard; Yau, S. T. The existence of a black hole due to condensation of matter. Comm. Math. Phys. 90 (1983), no. 4, 575--579.

[175]      Li, Peter; Yau, Shing Tung On the Schrödinger equation and the eigenvalue problem. Comm. Math. Phys. 88 (1983), no. 3, 309--318.

[176]      Meeks, William H., III; Yau, Shing Tung 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. Topology 21 (1982), no. 4, 409--442.

[177]      Mok, Ngaiming; Siu, Yum Tong; Yau, Shing Tung The Poincaré-Lelong equation on complete Kähler manifolds. Compositio Math. 44 (1981), no. 1-3, 183--218.

[178]      Meeks, William, III; Simon, Leon; Yau, Shing Tung Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Ann. of Math. (2) 116 (1982), no. 3, 621--659.

[179]      Li, Peter; Yau, Shing Tung A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Invent. Math. 69 (1982), no. 2, 269--291.

[180]      Jost, Jürgen; Yau, Shing Tung Harmonic mappings and Kähler manifolds. Math. Ann. 262 (1983), no. 2, 145--166.

[181]      Freedman, Michael; Yau, Shing Tung Homotopically trivial symmetries of Haken manifolds are toral. Topology 22 (1983), no. 2, 179--189.

[182]      Schoen, Richard; Yau, Shing Tung Corrections to: "Compact group actions and the topology of manifolds with nonpositive curvature" [Topology 18 (1979), no. 4, 361--380; MR 81a:53044]. Topology 21 (1982), no. 4, 483.

[183]      Schoen, Richard; Yau, Shing Tung Complete three-dimensional manifolds with positive Ricci curvature and scalar curvature. Seminar on Differential Geometry, pp. 209--228, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982.

[184]      Meeks, William W., III; Yau, Shing Tung The existence of embedded minimal surfaces and the problem of uniqueness. Math. Z. 179 (1982), no. 2, 151--168.

[185]      Schoen, Richard; Yau, Shing Tung Proof of the positive mass theorem. II. Comm. Math. Phys. 79 (1981), no. 2, 231--260.

[186]      Yau, Shing Tung Survey on partial differential equations in differential geometry. Seminar on Differential Geometry, pp. 3--71, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982.

[187]      Yau, Shing Tung Erratum: "Some function-theoretic properties of complete Riemannian manifold and their applications to geometry" [Indiana Univ. Math. J. 25 (1976), no. 7, 659--670; MR 54 #5502]. Indiana Univ. Math. J. 31 (1982), no. 4, 607.

[188]      Siu, Yum Tong; Yau, Shing Tung Compactification of negatively curved complete Kähler manifolds of finite volume. Seminar on Differential Geometry, pp. 363--380, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982.

[189]      Yau, Shing Tung Problem section. Seminar on Differential Geometry, pp. 669--706, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982.

[190]      Schoen, Richard; Yau, Shing Tung Proof that the Bondi mass is positive. Phys. Rev. Lett. 48 (1982), no. 6, 369--371.

[191]      Meeks, William H., III; Yau, Shing Tung Topology of three-dimensional manifolds and the embedding problems in minimal surface theory. Ann. of Math. (2) 112 (1980), no. 3, 441--484.

[192]      Cheng, Siu Yuen; Li, Peter; Yau, Shing Tung On the upper estimate of the heat kernel of a complete Riemannian manifold. Amer. J. Math. 103 (1981), no. 5, 1021--1063.

[193]      Meeks, William H., III; Yau, Shing Tung The equivariant Dehn's lemma and loop theorem. Comment. Math. Helv. 56 (1981), no. 2, 225--239.

[194]      Seminar on Differential Geometry. Papers presented at seminars held during the academic year 1979--1980. Edited by Shing Tung Yau. Annals of Mathematics Studies, 102. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982. ix+706 pp. ISBN: 0-691-08268-5; 0-691-08296-0

[195]      Schoen, Richard; Yau, Shing Tung The energy and the linear momentum of space-times in general relativity. Comm. Math. Phys. 79 (1981), no. 1, 47--51.

[196]      Cheeger, Jeff; Yau, Shing Tung A lower bound for the heat kernel. Comm. Pure Appl. Math. 34 (1981), no. 4, 465--480.

[197]      Yau, Shing Tung The total mass and the topology of an asymptotically flat space-time. The Chern Symposium 1979 (Proc. Internat. Sympos., Berkeley, Calif., 1979), pp. 255--259, Springer, New York-Berlin, 1980.

[198]      Cheng, Shiu Yuen; Yau, Shing Tung On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman's equation. Comm. Pure Appl. Math. 33 (1980), no. 4, 507--544.

[199]      Yang, Paul C.; Yau, Shing Tung Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7 (1980), no. 1, 55--63.

[200]      Schoen, R.; Yau, Shing Tung Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature. Ann. of Math. (2) 110 (1979), no. 1, 127--142.

[201]      Yau, Shing Tung The total mass and the topology of an asymptotically flat space-time. The Chern Symposium 1979 (Proc. Internat. Sympos., Berkeley, Calif., 1979), pp. 255--259, Springer, New York-Berlin, 1980.

[202]      Cheng, Shiu Yuen; Yau, Shing Tung On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman's equation. Comm. Pure Appl. Math. 33 (1980), no. 4, 507--544.

[203]      Yang, Paul C.; Yau, Shing Tung Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7 (1980), no. 1, 55--63.

[204]      Schoen, R.; Yau, Shing Tung Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature. Ann. of Math. (2) 110 (1979), no. 1, 127--142.

[205]      Schoen, R.; Wolpert, S.; Yau, S. T. Geometric bounds on the low eigenvalues of a compact surface. Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), pp. 279--285, Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980.

[206]      Li, Peter; Yau, Shing Tung Estimates of eigenvalues of a compact Riemannian manifold. Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), pp. 205--239, Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980.

[207]      Siu, Yum Tong; Yau, Shing Tung Compact Kähler manifolds of positive bisectional curvature. Invent. Math. 59 (1980), no. 2, 189--204.

[208]      Yau, Shing Tung The role of partial differential equations in differential geometry. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 237--250, Acad. Sci. Fennica, Helsinki, 1980.

[209]      Meeks, William H., III; Yau, Shing Tung The classical Plateau problem and the topology of $3$-manifolds. Minimal submanifolds and geodesics (Proc. Japan-United States Sem., Tokyo, 1977), pp. 101--102, North-Holland, Amsterdam-New York, 1979.

[210]      Bourguignon, Jean-Pierre Premières formes de Chern des variétés kählériennes compactes [d'après E. Calabi, T. Aubin et S. T. Yau]. (French) Séminaire Bourbaki, 30e année (1977/78), Exp. No. 507, pp. 1--21, Lecture Notes in Math., 710, Springer, Berlin, 1979.

[211]      Kazdan, Jerry L. A remark on the preceding paper of S. T. Yau: "On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I". Comm. Pure Appl. Math. 31 (1978), no. 3, 413--414.

[212]      Yau, Shing Tung On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Comm. Pure Appl. Math. 31 (1978), no. 3, 339--411.

[213]      Schoen, Richard; Yau, Shing Tung Positivity of the total mass of a general space-time. Phys. Rev. Lett. 43 (1979), no. 20, 1457--1459.

[214]      Yau, Shing Tung On the heat kernel of a complete Riemannian manifold. J. Math. Pures Appl. (9) 57 (1978), no. 2, 191--201.

[215]      Schoen, Richard; Yau, Shing Tung Compact group actions and the topology of manifolds with nonpositive curvature. Topology 18 (1979), no. 4, 361--380.

[216]      Schoen, Richard M.; Yau, Shing Tung Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Proc. Nat. Acad. Sci. U.S.A. 76 (1979), no. 3, 1024--1025.

[217]      Schoen, R.; Yau, S. T. On the structure of manifolds with positive scalar curvature. Manuscripta Math. 28 (1979), no. 1-3, 159--183.

[218]      Schoen, Richard; Yau, Shing Tung On the proof of the positive mass conjecture in general relativity. Comm. Math. Phys. 65 (1979), no. 1, 45--76.

[219]      Siu, Yum Tong; Yau, Shing Tung Errata to the paper: "Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay" [Ann. of Math. (2)105 (1977), no. 2, 225--264; MR 55 #10719]. Ann. of Math. (2) 109 (1979), no. 3, 621--623.

[220]      Yau, Shing Tung Harmonic maps between Riemannian manifolds. Partial differential equations and geometry (Proc. Conf., Park City, Utah, 1977), pp. 307--311, Lecture Notes in Pure and Appl. Math., 48, Dekker, New York, 1979.

[221]      Schoen, Richard; Yau, Shing Tung Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. Proc. Nat. Acad. Sci. U.S.A. 75 (1978), no. 6, 2567.

[222]      Yau, Shing Tung A general Schwarz lemma for Kähler manifolds. Amer. J. Math. 100 (1978), no. 1, 197--203.

[223]      Schoen, Richard; Yau, Shing Tung On univalent harmonic maps between surfaces. Invent. Math. 44 (1978), no. 3, 265--278.

[224]      Yau, Shing Tung Calabi's conjecture and some new results in algebraic geometry. Proc. Nat. Acad. Sci. U.S.A. 74 (1977), no. 5, 1798--1799.

[225]      Yau, Shing Tun Remarks on the group of isometries of a Riemannian manifold. Topology 16 (1977), no. 3, 239--247.

[226]      Schoen, Richard; Yau, Shing Tung Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Comment. Math. Helv. 51 (1976), no. 3, 333--341.

[227]      Cheng, Shiu Yuen; Yau, Shing Tung On the regularity of the Monge-Ampère equation ${\rm det}(\partial \sp{2}u/\partial x\sb{i}\partial sx\sb{j})=F(x,u)$. Comm. Pure Appl. Math. 30 (1977), no. 1, 41--68.

[228]      Siu, Yum Tong; Yau, Shing Tung Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Ann. of Math. (2) 105 (1977), no. 2, 225--264.

[229]      Cheng, Shiu Yuen; Yau, Shing Tung Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Ann. of Math. (2) 104 (1976), no. 3, 407--419.

[230]      Cheng, Shiu Yuen; Yau, Shing Tung Hypersurfaces with constant scalar curvature. Math. Ann. 225 (1977), no. 3, 195--204.

[231]      Yau, Shing Tung Harmonic functions on complete Riemannian manifolds. Comm. Pure Appl. Math. 28 (1975), 201--228.

[232]      Cheng, Shiu Yuen; Yau, Shing Tung On the regularity of the solution of the $n$-dimensional Minkowski problem. Comm. Pure Appl. Math. 29 (1976), no. 5, 495--516.

[233]      Schoen, R.; Simon, L.; Yau, S. T. Curvature estimates for minimal hypersurfaces. Acta Math. 134 (1975), no. 3-4, 275--288.

[234]      Yau, Shing Tung Some function-theoretic properties of complete Riemannian manifold and their applications to geometry. Indiana Univ. Math. J. 25 (1976), no. 7, 659--670.

[235]      Siu, Yum Tong; Yau, Shing Tung On the structure of complete simply-connected Kähler manifolds with nonpositive curvature. Proc. Nat. Acad. Sci. U.S.A. 73 (1976), no. 4, 1008.

[236]      Yau, Shing Tung Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold. Ann. Sci. École Norm. Sup. (4) 8 (1975), no. 4, 487--507.

[237]      Yau, Shing Tung Parallelizable manifolds without complex structure. Topology 15 (1976), no. 1, 51--53.

[238]      Cheng, S. Y.; Yau, S. T. Differential equations on Riemannian manifolds and their geometric applications. Comm. Pure Appl. Math. 28 (1975), no. 3, 333--354.

[239]      Yau, Shing Tung On the curvature of compact Hermitian manifolds. Invent. Math. 25 (1974), 213--239.

[240]      Yau, Shing Tung Submanifolds with constant mean curvature. I, II. Amer. J. Math. 96 (1974), 346--366; ibid. 96 (1975), 76--100.

[241]      Yau, Shing Tung Intrinsic measures of compact complex manifolds. Math. Ann. 212 (1975), 317--329.

[242]      Lawson, H. Blaine, Jr.; Yau, Shing Tung Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres. Comment. Math. Helv. 49 (1974), 232--244.

[243]      Yau, Shing Tung Curvature preserving diffeomorphisms. Ann. of Math. (2) 100 (1974), 121--130.

[244]      Yau, Shing Tung Some global theorems on non-complete surfaces. Comment. Math. Helv. 48 (1973), 177--187.

[245]      Yau, Shing Tung Non-existence of continuous convex functions on certain Riemannian manifolds. Math. Ann. 207 (1974), 269--270.

[246]      Yau, S. T. Remarks on conformal transformations. J. Differential Geometry 8 (1973), 369--381.

[247]      Lawson, H. Blaine, Jr.; Yau, Shing Tung Compact manifolds of nonpositive curvature. J. Differential Geometry 7 (1972), 211--228.

[248]      Bourguignon, Jean-Pierre; Yau, Shing Tung Sur les métriques riemanniennes à courbure de Ricci nulle sur le quotient d'une surface ${\rm K}$ $3$. (French) C. R. Acad. Sci. Paris Sér. A-B 277 (1973), A1175--A1177.

[249]      Yau, Shing Tung Compact flat Riemannian manifolds. J. Differential Geometry 6 (1971/72), 395--402.

[250]      Yau, Shing-tung On the fundamental group of compact manifolds of non-positive curvature. Ann. of Math. (2) 93 1971 579--585.

[251]      Yau, Shing-tung On the fundamental group of manifolds of non-positive curvature. Proc. Nat. Acad. Sci. U.S.A. 67 1970 509.

[252]      Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. III [MR 2002g:14080]. Surveys in differential geometry, 433--474, Surv. Differ. Geom., VII, International Press, Somerville, MA, 2000.

[253]      Strominger, Andrew; Yau, Shing-Tung; Zaslow, Eric Mirror symmetry is $T$-duality [MR 97j:32022]. Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999), 333--347, AMS/IP Stud. Adv. Math., 23, Amer. Math. Soc., Providence, RI, 2001.

[254]      Yau, S.-T. The work of Kefeng Liu. First International Congress of Chinese Mathematicians (Beijing, 1998), lv--lvi, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.

[255]      Yau, S.-T. The work of Chang-Shou Lin. First International Congress of Chinese Mathematicians (Beijing, 1998), xli--xlii, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.

[256]      Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. II [MR 2001a:14057]. Surveys in differential geometry: differential geometry inspired by string theory, 455--509, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999.

[257]      Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. I [MR 99e:14062]. Surveys in differential geometry: differential geometry inspired by string theory, 405--454, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999.

[258]      Kashiwara, Masaki; Kawai, Takahiro; Yau, Shing-Tung Preface. Mikio Sato: a great Japanese mathematician of the twentieth century. Asian J. Math. 2 (1998), no. 4, vii--x.

[259]      Salaff, Stephen; Yau, Shing-Tung Ordinary differential equations. Second edition. International Press, Cambridge, MA, 1998. vi+72 pp. ISBN: 1-57146-065-9

[260]      Yau, Shing Tung A note on the distribution of critical points of eigenfunctions. Collection of papers on geometry, analysis and mathematical physics, 173--175, World Sci. Publishing, River Edge, NJ, 1997.

[261]      Yau, Shing Tung Sobolev inequality for measure space. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 299--313, Internat. Press, Cambridge, MA, 1997.

[262]      Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces [MR 96d:32028]. Mirror symmetry, II, 545--606, AMS/IP Stud. Adv. Math., 1, Amer. Math. Soc., Providence, RI, 1997.

[263]      Stern, R.; Tian, Gang Donaldson and Yau receive Crafoord prize. Notices Amer. Math. Soc. 41 (1994), no. 7, 794--796.

[264]      Yau, Shing-Tung The current state and prospects of geometry and nonlinear differential equations. Mathematical research today and tomorrow (Barcelona, 1991), 29--39, Lecture Notes in Math., 1525, Springer, Berlin, 1992.

[265]      Yau, S.-T.; Zheng, F. Remarks on certain higher-dimensional quasi-Fuchsian domains. Differential geometry: geometry in mathematical physics and related topics (Los Angeles, CA, 1990), 629--635, Proc. Sympos. Pure Math., 54, Part 2, Amer. Math. Soc., Providence, RI, 1993.

[266]      Yau, Shing-Tung Open problems in geometry. Chern---a great geometer of the twentieth century, 275--319, Internat. Press, Hong Kong, 1992.

[267]      Yau, Shing-Tung S. S. Chern, as my teacher. Chern---a great geometer of the twentieth century, 271--274, Internat. Press, Hong Kong, 1992.

[268]      Hübsch, Tristan; Yau, Shing-Tung An ${\rm SL}(2,C)$ action on certain Jacobian rings and the mirror map. Essays on mirror manifolds, 372--387, Internat. Press, Hong Kong, 1992.

[269]      Tian, G.; Yau, S.-T. Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry. Mathematical aspects of string theory (San Diego, Calif., 1986), 574--628, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987.

[270]      Li, Jun; Yau, Shing-Tung Hermitian-Yang-Mills connection on non-Kähler manifolds. Mathematical aspects of string theory (San Diego, Calif., 1986), 560--573, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987.

[271]      Tian, G.; Yau, S.-T. Three-dimensional algebraic manifolds with $C\sb 1=0$ and $\chi=-6$. Mathematical aspects of string theory (San Diego, Calif., 1986), 543--559, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987.

[272]      Yau, Shing-Tung A survey on the interaction between mathematical physics and geometry. VIIIth international congress on mathematical physics (Marseille, 1986), 305--310, World Sci. Publishing, Singapore, 1987.

[273]      Meeks, William H., III; Yau, Shing-Tung Group actions on $R\sp{3}$. The Smith conjecture (New York, 1979), 167--179, Pure Appl. Math., 112, Academic Press, Orlando, FL, 1984.

[274]      Yau, Shing-Tung; Meeks, William H., III The equivariant loop theorem for three-dimensional manifolds and a review of the existence theorems for minimal surfaces. The Smith conjecture (New York, 1979), 153--163, Pure Appl. Math., 112, Academic Press, Orlando, FL, 1984.

[275]      Yau, Shing-Tung Minimal surfaces and their role in differential geometry. Global Riemannian geometry (Durham, 1983), 99--103, Ellis Horwood Ser. Math. Appl., Horwood, Chichester, 1984.

[276]      I. Smith, R.P. Thomas, S.-T. Yau Symplectic conifold transitions, Research Preprint.

[277]      Sergei Gukov, Shing-Tung Yau, Eric Zaslow Duality and Fibrations on G_2 Manifolds, Research Preprint.

[278]      Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau Kummer structures on a K3 surface - An old question of T. Shioda, Research Preprint.

[279]      Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau Counting Fourier-Mukai partners and applications, Research Preprint.

[280]      Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations, Research Preprint.

[281]      Bong H. Lian (Brandeis University), Chien-Hao Liu (Harvard University), Kefeng Liu (University of California at Los Angelas), Shing-Tung Yau (Harvard University) The $S^1$ fixed points in Quot-schemes and mirror principle computations, Research Preprint.

[282]      Yi Hu, S.-T. Yau HyperK\"ahler Manifolds and Birational Transformations, Research Preprint.

[283]      Shing-Tung Yau Geometry of three manifolds and existence of Black Hole due to boundary effect, Research Preprint.

[284]      Felix Finster, Niky Kamran, Joel Smoller, Shing-Tung Yau Decay Rates and Probability Estimates for Massive Dirac Particles in the Kerr-Newman Black Hole Geometry, Research Preprint.

[285]      R. P. Thomas, S.-T. Yau Special Lagrangians, stable bundles and mean curvature flow, Research Preprint.

[286]      Bjorn Andreas, Gottfried Curio, Daniel Hernandez Ruiperez, Shing-Tung Yau Fibrewise T-Duality for D-Branes on Elliptic Calabi-Yau, JHEP 0103 (2001) 020

[287]      Bjorn Andreas, Gottfried Curio, Daniel Hernandez Ruiperez, Shing-Tung Yau Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau, Research Preprint.

[288]      Yi Hu (U. Texas at Arlington), Chien-Hao Liu, Shing-Tung Yau (Harvard University) Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces, Research Preprint.

[289]      Bong H. Lian, Kefeng Liu, Shing-Tung Yau A Survey of Mirror Principle, Research Preprint.

[290]      Bong H. Lian, Andrey Todorov, Shing-Tung Yau Maximal Unipotent Monodromy for Complete Intersection CY Manifolds, Research Preprint.

[291]      Bong H. Lian, Kefeng Liu, Shing-Tung Yau Mirror Principle IV, Research Preprint.

[292]      Felix Finster, Niky Kamran, Joel Smoller, Shing-Tung Yau The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry, Research Preprint.

[293]      Bong H. Lian (Brandeis University), Chien-Hao Liu, Shing-Tung Yau (Harvard University) A reconstruction of Euler data, Research Preprint.

[294]      Chien-Hao Liu, Shing-Tung Yau (Harvard University) On the Splitting Type of an Equivariant Vector Bundle over a Toric Manifold, Research Preprint.

[295]      Felix Finster, Joel Smoller, Shing-Tung Yau: The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States, Nucl.Phys. B584 (2000) 387-414

[296]      B. Lian, K. Liu, S.T. Yau: Mirror Principle III, Research Preprint.

[297]      Felix Finster, Joel Smoller, Shing-Tung Yau: The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Black Holes, Michigan Math. J. 47 (2000) 199-208

[298]      Felix Finster, Joel Smoller, Shing-Tung Yau: The Einstein-Dirac-Maxwell Equations - Black Hole Solutions, Research Preprint.

[299]      Felix Finster, Niky Kamran, Joel Smoller, Shing-Tung Yau: Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black Hole Geometry, Commun. Pure Appl. Math. 53 (2000) 902-929.

[300]      Bong H. Lian, Kefeng Liu, S.T. Yau: Mirror Principle II, Research Preprint.

[301]      Hing Sun Luk, Stephen S.-T. Yau: Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson, Ann. of Math. (2) 148 (1998), no. 3, 1153-1154.

[302]      Felix Finster, Joel Smoller, Shing-Tung Yau: Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background, J. Math. Phys. 41 (2000) 2173-2194.

[303]      B. Lian, K. Liu, S.T. Yau: Mirror Principle I, Research Preprint.

[304]      Andrew Strominger, Shing-Tung Yau, Eric Zaslow: Mirror Symmetry is T-Duality, Nucl. Phys. B479 (1996) 243-259.

[305]      S.Hosono, B.H.Lian, S.-T.Yau: Calabi-Yau Varieties and Pencils of K3 Surfaces, Research Preprint.

[306]      Shing-Tung Yau, Eric Zaslow: BPS States, String Duality, and Nodal Curves on K3, Nucl. Phys. B471 (1996) 503-512.

[307]      Tan Jiang, Stephen S.-T. Yau: Topological invariance of intersection lattices of arrangements in CP^2 , Bull. Amer. Math. Soc. (N.S.) 29 (1993) 88-93.

[308]      Jens Hoppe, Shing-Tung Yau: Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models, Research Preprint.

[309]      Felix Finster, Joel Smoller, Shing-Tung Yau: Particle-Like Solutions of the Einstein-Dirac Equations, Phys. Rev. D59 (1999) 104020.

[310]      Jens Hoppe, Shing-Tung Yau: Absence of Zero Energy States in Reduced SU(N) 3d Supersymmetric Yang Mills Theory, Research Preprint.

[311]      A. Klemm, B. Lian, S.-S. Roan, S.-T. Yau: Calabi-Yau fourfolds for M- and F-Theory compactifications, Nucl. Phys. B518 (1998) 515-574.

[312]      Bong H. Lian, Shing-Tung Yau: Mirror Maps, Modular Relations and Hypergeometric Series II, Nucl. Phys. Proc. Suppl. 46 (1996) 248-262.

[313]      Bong H. Lian, Shing-Tung Yau: Mirror Maps, Modular Relations and Hypergeometric Series I, Research Preprint.