Mathematical Sciences: Arithmetic of L-Values

史蒂文斯教授将研究L函数的特殊值及其与算术几何的关系。他打算继续研究Mazur、Tate和Teitelbaum的特殊零猜想。他还计划研究模块化符号。这个项目属于算术几何的一般领域--一个融合了数论和几何这两个最古老的数学领域的学科。事实证明，这种结合非常有成效--最近解决了几代人经受住的问题。在其众多后果中，有一种是新的纠错码。这种代码对于现代计算机(硬盘)和光盘都是必不可少的。

Professor Stevens will work on special values of L-functions and their relations to arithmetic geometry. He intends to continue working on the exceptional zero conjecture of Mazur, Tate and Teitelbaum. He also plans to work on modular symbols. 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.