Mathematical Sciences: Topics in Iwasawa Theory

琼斯教授将致力于研究岩泽椭圆理论 曲线. 他打算研究与岩泽L有关的问题- L-adic表示的函数。 他还将研究 等变上同调，以期找到类似物 平坦对偶定理 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 Jones will work on the Iwasawa theory of elliptic curves. He intends to study problems related to Iwasawa L- functions of l-adic representations. He will also study equivariant cohomology with a view towards finding analogues of flat duality theorems. 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.