Mathematical Sciences: Presidential Young Investigator Award

数学科学：总统青年研究员奖

• 批准号: 9158306
• 负责人: Noam Elkies
• 金额: $ 27.5万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1997-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9158306&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Presidential; Young; Investigator

This Presidential Young Investigator will work on Mordell- Weil lattices of elliptic surfaces, the size and structure of the Tate-Safarevic group and the connection to coding theory via the Barnes-Wall lattices. This project falls into the general area of arithmetic geometry -a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.

这位年轻的总统调查员将在莫德尔工作- Weil格的椭圆曲面，大小和结构， Tate-Safarevic群和编码理论的联系 Barnes-Wall格子 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题， 数学：数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中， 纠错码 这些准则对现代和 计算机（硬盘）和光盘。