Volume II Preface Shing-Tung Yau Shing-Tung Yau, His Mathematics and Writings Lizhen Ji Commentary on Perspectives on Geometric Analysis Perspectives on Geometric Analysis Shing-Tung Yau Commentary on A Survey of Calabi-Yau Manifolds A Survey of Calabi-Yau Manifolds Shing-Tung Yau Commentary on Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau Commentary on Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau Commentary on Deformation of Kahler-Einstein Metrics Deformation of Kahler-Einstein Metrics Xiaofeng Sun, Shing-Tung Yau Commentary on String Theory and the Geometry of the Universe's Hidden Dimensions String Theory and the Geometry of the Universe's Hidden Dimensions Shing-Tung Yau and Steve Nadis Commentary on Shiing-Shen Chern Shiing-Shen Chern (1911-2004) Shing-Tung Yau Commentary on A Survey on Recent Development in Computational Quasi-conformal Geometry and its Applications A Survey on Recent Development in Computational Quasi-conformal Geometry and its Applications Lok Ming Lui, Tsz Wai Wong, Wei Zeng, Xiangfeng Gu, Paul M. Thompson, Tony F. Chan, and Shing-Tung Yau Commentary on Recent Development of Computational Conformal Geometry Recent Development of Computational Conformal Geometry David Xianfeng Gu, Wei Zeng, Lok Ming Lui, Feng Luo, and Shing-Tung Yau Commentary on Mirror Symmetry and Localizations Mirror Symmetry and Localizations Shing-Tung Yau Commentary on Non-Kaihler Calabi-Yau Manifolds Non-Kahler Calabi-Yau Manifolds Li-Sheng Tseng, Shing-Tung Yau Commentary by Others The Strominger-Yau-Zaslow Conjecture and Its Impact Kwokwai Chan Commentary on Shing-Tung Yau's Surveys Simon Donaldson Commentary on Yau's Work on Non-Kahler Complex Geometry Jixiang Fu Martin Compactification of Nonpositively Curved Manifolds Lizhen Ji Commentary on Shing-Tung Yau's Expository Works: Topological String Theory Chiu-Chu Melissa Liu Commentary on Yau's Work on Minimal Surfaces and 3-manifolds Feng Luo Commentary on Some Works of Shing-Tung Yau in Kahler Geometry Ngaiming Mok Commentary on The Legacy of Shing-Tung Yau in Geometric Partial Differential Equations Duong H. Phong Commentary on Several Problems Proposed by Shing-Tung Yau Bun Wong Appendices List of Publications by Shing-Tung Yau Students of Shing-Tung Yau