清华大学丘成桐数学科学中心自2009年成立以来，已经成为数学专业学生与数学家进行数学学习和思想交流的重要平台；清华三亚国际数学论坛是与该中心紧密联系的另一个学术交流场所。清华和三亚两地吸引了许多著名的数学家来进行内容丰富的讲座和访谈。《清华数学讲义(英文版)(精)》包含了主编季理真、潘日新、丘成桐精选的部分讲座的讲义和基于一些访谈的综述文章。
数学是非常多样化和广博的，但也存在着一些基本的主题。我们希望本书中的文章既能体现数学的丰富性又能展现其统一性。

Part I Course Notes
Lectures on the Geometry of the Scalar Curvature
Part II Survey Papers
Modular Generalized Springer Correspondence: an Overview
The Yamabe Problem on Dirichlet Spaces
Stacks in Representation Theory
Remarks on Mirror Symmetry of Donaldson-Thomas Theory for Calabi-Yau 4-folds
On the Counting of Hitchin Bundles
Image Nonnegative Factorization: Formulation and Numerical Strategies
l-adic Realization of Some Aspects of Landau-Ginzburg β-models
The Conformal Flow of Metrics and the General Penrose Inequality
Floer Theoretic Invariants for 3- and 4-manifolds
Kodaira Dimension in Low Dimensional Topology
Counting Holomorphic Discs in K3 Surfaces
Uniqueness of Kerr Solution and Positive Mass Theorem
On Metrics that Can Be Viewed as "Localized Einstein Metrics"
Kahler Geometry, Momentum Maps and Convex Sets
Springer Correspondence for Complex Reflection Groups
Sequences Modulo One: Convergence of Local Statistics
Smooth Transonic Flows in De Laval Nozzles
Some Recent Results in CR Geometry
Backward Uniqueness for Parabolic Operators
Heat Flows with Applications