Arithmetic of L-Values

9401553 Stevens该奖项资助Glenn Stevens教授研究数论与代数几何之间的联系。史蒂文斯教授将特别研究模符号的算术性质。他也希望从更高的等级和更高的权重对Mazur、Tate和Teitelbaum的例外零猜想的理解有所进展。这是数论领域的研究。数论基本上是对整数的研究。在这个奖项下进行的研究通过将整数编码成称为模形式的函数来研究整数的性质。数论是最古老的数学领域之一，但它一直在为这门学科的其他部分选择方向方面发挥着重要作用。在过去的半个世纪里，整数的研究变得更加重要，因为这个理论已经被用来为计算机科学开发新的算法，并为电子产品构建新的纠错码。

9401553 Stevens This award funds the research of Prof. Glenn Stevens into connections between Number Theory and Algebraic Geometry. In particular Prof. Stevens will study the arithmetic properties of modular symbols. He also hopes to make progress in the understanding of the exceptional zero conjecture of Mazur, Tate and Teitelbaum from higher rank and from higher weight. This is research in the field of number theory. Number theory is basically the study of whole numbers. The research done under this award studies properties of the whole numbers by encoding them into functions called modular forms. Number theory is among the oldest fields of mathematics, yet it has always played an important role in choosing directions for the rest of the subject. Within the last half century, the study of whole numbers has become doubly important as the theory has been used to develop new algorithms for computer science and to construct new error correcting codes for electronics.