Mathematical Sciences: Analytic Number Theory, Automorphic Forms, and Application

该奖项支持代数几何的研究， 编码理论和解析数论的卡洛斯J。 纽约城市大学巴鲁克学院的莫雷诺说。博士 莫雷诺将致力于解决几个问题，所有国际- 数学中的学科。其中之一就是应用 误差理论的代数几何技巧 纠正代码所产生的代数曲线， 由Goppa开发。莫雷诺博士将在另一个领域 工作涉及权值的同余性质 重数和最高权配分函数 Kac-Moody李代数 莫雷诺教授研究的几个主题是 由他在代数几何方面的专业知识统一起来。这是 现代数学中最古老的部分，但其中有一个 在过去的四分之一个世纪里，革命性的开花。在其 起源，它处理的数字，可以定义在平面上， 最简单的方程，即多项式。如今，该领域 不仅使用代数方法，而且使用分析方法， 拓扑学，反过来说， 以及理论计算机科学和机器人技术。

This award supports the research in algebraic geometry, coding theory, and analytic number theory of Professor Carlos J. Moreno of Baruch College of the City University of New York. Dr. Moreno will be working on several questions, all inter- disciplinary within mathematics. One of these is to apply techniques of algebraic geometry to the theory of the error correcting codes arising from algebraic curves that were first developed by Goppa. Another field in which Dr. Moreno will be working involves congruence properties for the weight multiplicities and partition functions of highest weight representations of Kac-Moody Lie algebras. The several themes of Professor Moreno's research are unified by his expertise in algebraic geometry. This is one of the oldest parts of modern mathematics, but one which has had a revolutionary flowering in the past quarter-century. In its origin, it treated figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field makes use of methods not only from algebra, but from analysis and topology, and conversely is finding application in those fields as well as in theoretical computer science and in robotics.