Mathematical Sciences: Properties of the Igusa Local Zeta Function

这个职业发展奖支持Meuser教授研究Igusa局部zeta函数的研究。特别是，她计划探索当地zeta函数的显式形式和相关品种的几何之间的联系。这个项目福尔斯属于算术几何的一般领域-一个融合了两个最古老的数学领域：数论和几何的主题。事实证明，这种结合非常富有成效--最近解决了几代人都无法解决的问题。在它的许多后果是新的纠错码。这种代码对于现代计算机（硬盘）和光盘都是必不可少的。

This career advancement award supports the research of Professor Meuser to study the Igusa local zeta function. In particular she plans to explore connections between the explicit form of the local zeta function and the geometry of the associated variety. 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.