SAGE: Software for Algebra and Geometry Experimentation

研究者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、几何和数值计算方面的研究。他们正在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、高度优化的多项式算法以及数学软件系统之间的通信协议。该项目涉及创建开源数学软件，该软件在密码学、数论、几何和其他领域的研究中起着关键作用。它促进了科学的进步，使许多高度优化的研究型算法广泛可用，并且使几乎任何数学软件包都可以轻松地同时创建和处理定义的对象。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。

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.