US-Brazil Planning Visit: Ubiquity of Blowup Algebras

在美国国际科学与工程办公室美洲项目的支持下，圣母大学的克劳迪娅·波利尼和肯塔基大学的阿尔贝托·科索将与巴西伯南布哥联邦大学的阿隆·西米斯共同发起一个交换代数合作研究项目。提出了计算积分闭包和研究Rees代数的Cohen-MaCaulayness和noetheriness的项目。这次计划访问的目的是在美国和巴西的研究人员之间建立一个交换代数的合作研究项目。所提出的问题在具有几何含义的交换代数中是很自然的，并且pi在过去的相关领域已经做了重要的工作。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是一名女性研究员，这是数学领域一个代表性不足的群体，她将成为学生们的好榜样。

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.