Arithmetic of L-Values

9401553史蒂文斯该奖项资助格伦·史蒂文斯教授研究数论和代数几何之间的联系。特别是，史蒂文斯教授将研究模符号的算术性质。他还希望从更高的级别和更高的权重来理解Mazur、Tate和Teitelbaum的例外零猜想。这是数论领域的研究。数论基本上是对整数的研究。在该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它们的性质。数论是最古老的数学领域之一，但它在选择其他学科的方向方面一直扮演着重要的角色。在过去的半个世纪里，随着整数理论被用于开发计算机科学的新算法和构造电子产品的新纠错码，对整数的研究变得加倍重要。

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.