SAGE: Software for Algebra and Geometry Experimentation

SAGE：代数和几何实验软件

• 批准号: 0713225
• 负责人: William Stein
• 金额: $ 14.45万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-07-15 至 2010-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0713225&HistoricalAwards=false
• 关键词: SAGE; Software; Algebra; Geometry; Experimentation

The investigator and his colleagues are creating wide-ranging open source mathematical software to support research in cryptography, number theory, algebra, geometry, and numerical computation. They are sutdying distributed computation with complicated algebraic objects in heterogenous networks, exact linear algebra, computation with elliptic curves, highly optimized polynomial arithmetic, and protocols for communication between mathematical software systems.This project involves creating open source mathematical software that plays a key roll in research in cryptography, number theory, geometry, and other area. It promotes the progress of science by making many highly optimized research-oriented algorithms widely available, and making it easy to simultaneously create and work with objects defined in almost any mathematical software package. This project also stimulates new forms of collaboration between researchers in diverse areas of mathematics, and between undegraduates, graduate students, and professors.

研究人员和他的同事正在创建广泛的开源数学软件，以支持密码学，数论，代数，几何和数值计算的研究。 他们研究异构网络中复杂代数对象的分布式计算、精确线性代数、椭圆曲线计算、高度优化的多项式运算以及数学软件系统之间的通信协议。该项目涉及创建开放源代码的数学软件，在密码学、数论、几何学和其他领域的研究中发挥关键作用。 它通过使许多高度优化的面向研究的算法广泛可用，并使其易于同时创建和处理几乎任何数学软件包中定义的对象，促进了科学的进步。 该项目还促进了不同数学领域的研究人员之间，以及本科生，研究生和教授之间的新形式的合作。