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.

在美国-在国际科学与工程办公室美洲项目的支持下，圣母大学的Claudia Polini和肯塔基州大学的Alberto Corso计划访问巴西，并将与巴西伯南布哥联邦大学的Aron Simis开展一项关于交换代数的合作研究计划。 提出了Rees代数积分闭包的计算和Cohen-MaCaulay性与Noether性的研究方案。 计划访问的目标是在美国和巴西的交换代数研究人员之间建立一个合作研究计划。 所提出的问题是自然的交换代数与几何的影响，和PI做了重要的工作，在相关领域的过去。 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是一位女性研究人员，在数学领域代表性不足，她将成为学生的良好榜样。