丘成桐 数学家

shiyi18

Horng-Tzer Yau
Mathematician | Class of 2000
Title
Mathematician
Location
New York, New York
Age
41 at time of award
Area of Focus
Mathematics, Statistics, and Probability
Published July 1, 2000
ABOUT HORNG-TZER'S WORK
Horng-Tzer Yau is a mathematician who applies mathematical insights and analysis to the explanation of important physical processes.

His work focuses on reinterpreting descriptive models of large-scale physical behavior within the context of statistical mechanics.  Early in his career, Yau focused on describing in quantum mechanical terms the stability of matter in complex (many-body) systems.  This work produced sound mathematical support for earlier astrophysical theories on the limits of stellar stability.  He then shifted the direction of his research toward explaining the macroscopic properties of fluids based on the microscopic behavior of their constituent particles—the hydrodynamic limit.  He developed the novel concept of “relative entropy” to derive descriptive formulae of fluid behavior (for example, Navier-Stokes) from basic principles of statistical mechanics.  Although the problems that Yau works on are rooted in physical phenomena, he has made important contributions to fundamental mathematics in several areas: probability theory, nonlinear partial differential equations, spectral theory, and dynamical systems theory.

BIOGRAPHY
Yau is a professor of mathematics at Harvard University.  He served previously as a professor of mathematics at Stanford University (2003-2005) and as a professor at the Courant Institute of Mathematical Sciences at New York University (1988-2003).

Yau received a B.S. (1981) from the National Taiwan University and a Ph.D. (1987) from Princeton University.

Last updated January 1, 2006



姚鸿泽
2000 级数学家
头衔
数学家
工作地点
纽约州纽约市
年龄
获奖时 41 岁
重点领域
数学、统计学和概率论
发表于 2000 年 7 月 1 日
关于姚鸿泽的工作
姚鸿泽是一位数学家，他将数学见解和分析应用于解释重要的物理过程。

他的工作重点是在统计力学的背景下重新解释大规模物理行为的描述性模型。  在他职业生涯的早期，丘成桐专注于用量子力学术语描述复杂（多体）系统中物质的稳定性。  这项工作为早期关于恒星稳定性极限的天体物理学理论提供了可靠的数学支持。  随后，他将研究方向转向根据流体组成粒子的微观行为来解释流体的宏观特性--流体力学极限。  他提出了新颖的 "相对熵 "概念，从统计力学的基本原理推导出流体行为的描述性公式（如纳维-斯托克斯公式）。  尽管丘成桐研究的问题都植根于物理现象，但他在以下几个领域对基础数学做出了重要贡献：概率论、非线性偏微分方程、谱理论和动力系统理论。

简历
姚鸿泽是哈佛大学数学教授。  他曾任斯坦福大学数学教授（2003-2005 年）和纽约大学库兰特数学科学研究所教授（1988-2003 年）。

姚鸿泽 1981 年获台湾大学学士学位，1987 年获普林斯顿大学博士学位。

最后更新于 2006 年 1 月 1 日