Mathematical Sciences Computing Research Environments

该奖项将提供必要的计算资源， 几个正在进行的数论，代数， 代数几何 这些项目涵盖相关领域 表示论;模形式和椭圆曲线; 代数簇拓扑与Picard-Fuchs微分 方程;和阿拉克洛夫理论，K理论，算术 几何 调查人员计划以各种方式象征性地 代数程序，如REDUCE，Maple，Macaulay，这些 问题;以这些语文编制成套程序; 用较低级的语言，如FORTRAN， 和C. 此外，该设备还将用于支持 在这些领域工作的研究生。

This award will provide essential computational resources, to several on-going research projects in number theory, algebra, and algebraic geometry. These projects cover the related areas of representation theory; modular forms and elliptic curves; the topology of algebraic varieties and Picard-Fuchs, differential equations; and Arakelov theory, K-theory, and arithmetic geometry. The investigators plan variously to apply symbolic algebra programs, such as REDUCE, Maple, Macaulay, to these problems; to develop packages of procedures in these languages; and to develop programs in lower level languages such as FORTRAN and C. In addition, the equipment will be used to support graduate students working in these areas.