US-Brazil Planning Visit: Ubiquity of Blowup Algebras

美国-巴西计划访问：爆炸代数的普遍性

• 批准号: 0551104
• 负责人: Claudia Polini
• 金额: $ 0.65万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-07-15 至 2007-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0551104&HistoricalAwards=false
• 关键词: US; Brazil; Planning; Visit; Ubiquity

In this U.S.-Brazil planning visit supported by the Americas Program of the Office of International Science and Engineering, Claudia Polini of the University of Notre Dame and Alberto Corso of the University of Kentucky will initiate a program of collaborative research on commutative algebra with Aron Simis of Universidade Federal de Pernambuco (UFPE), Brazil. Projects involving the computation of integral closure and investigation of Cohen-MaCaulayness and Noetherianness for Rees Algebras are proposed. The goal of the planning visit is to establish a collaborative research program among US and Brazilian researchers in commutative algebra. The questions posed are natural in commutative algebra with geometric implications, and the PIs have done important work in related areas in the past. Any follow-on project would strengthen collaborations with foreign scientists and provide international research experiences for students. The PI is a female researcher, an underrepresented group in mathematics who would be a good role model for students.

在这次美国 - 巴西计划访问中，由美国国际科学与工程办公室的支持，巴黎圣母院大学的克劳迪娅·波利亚（Claudia Polini）和肯塔基大学的阿尔贝托·科索（Alberto Corso）将启动一项与大学联邦Denambuco（Ufppe）的Aron Simis Simis Simis Simis Simis Simis Simis的合作研究计划。 提出了涉及计算整体封闭的项目，并提出了对REES代数的Cohen-Macaulayness和Noetherness的调查。 计划访问的目的是在我们和巴西的合作研究人员之间建立一个合作研究计划。 所提出的问题自然而然地具有几何影响，而PI在过去的相关领域做了重要的工作。 任何后续项目都将加强与外国科学家的合作，并为学生提供国际研究经验。 PI是一名女性研究人员，是数学中代表性不足的群体，他们将成为学生的好榜样。