Mathematical Sciences: Galois Structure on Schemes & Capacity Theory on Varieties

Chinburg教授将研究伽罗瓦模的理论 结构图式与能力理论之间的联系 和品种的交集理论。 特别是，他将 将算术交理论推广到 算术循环 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。

Professor Chinburg will work on a theory for a Galois Module Structure for Schemes and the connection between capacity theory and intersection theory on varieties. In particular, he will work on generalizing arithmetic intersection theory to limits of arithmetic cycles. 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.