Mathematical Sciences: Models for Hilbert Varieties and Galois Structure of deRham Cohomology

帕帕斯教授将从事算术几何方面的工作 特别是志村品种的不良还原理论 Hilbert Modular Varieties的例子。他将 并研究了类的DeRham上同调群的Galois结构 算术变种 这个项目福尔斯属于算术的一般范畴 几何学是一门融合了两个最古老领域的学科， 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。

Professor Pappas will work in arithmetic geometry specifically the theory of bad reduction of Shimura varieties concentrating on the case of Hilbert Modular varieties. He will also study the Galois structure of DeRham cohomology groups of arithmetic varieties. 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.