Commutative Algebra (Mathematics)

交换代数（数学）

• 批准号: 8723002
• 负责人: Judith Sally
• 金额: $ 7.42万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-08-15 至 1989-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8723002&HistoricalAwards=false
• 关键词: Commutative; Algebra; Mathematics

Professor Sally will pursue research in Commutative Algebra on topics related to the theory of local rings and their singularities. The research will also draw from and contribute to the theory of surfaces and higher dimensional varieties in Algebraic Geometry. The primary topics will include the search for finiteness criteria for birationally equivalent local domains and criteria for analytic irreducibility. The goal is the extension (to higher dimension and to more general setting) of some of Zariski's theorems on birational extensions and integrally closed ideals. Professor Sally will teach one undergraduate course in algebra each semester, actively participate in graduate student and faculty seminars in algebra and give lectures, informal talks and counseling to the organizations at Purdue which are concerned with the role of women in science. This project furthers VPW program objectives which are (1) to provide opportunities for women to advance their careers in engineering and in the disciplines of science supported by NSF and (2) to encourage women to pursue careers in science and engineering by providing greater visibility for women scientists and engineers employed in industry, government, and academic institutions. By encouraging the participation of women in science, it is a valuable investment in the Nation's future scientific vitality.

萨利教授将继续研究与局部环及其奇点理论相关的交换代数。这项研究还将借鉴和贡献代数几何中的曲面和高维簇理论。主要的主题将包括寻找出生地等价局部区域的有限标准和解析不可约的标准。目标是Zariski关于二元扩张和积分闭理想的一些定理的推广(到更高的维度和更一般的环境)。萨利教授每学期将教授一门代数本科课程，积极参加研究生和教师的代数研讨会，并为普渡大学关注女性在科学中的作用的组织讲课、非正式演讲和咨询。该项目进一步推动了VPW计划的目标，即：(1)为妇女提供机会，在NSF资助的工程和科学学科中发展她们的职业生涯；(2)通过提高受雇于工业、政府和学术机构的女科学家和工程师的知名度，鼓励妇女追求科学和工程事业。通过鼓励妇女参与科学，这是对国家未来科学活力的宝贵投资。