POWRE: Integral Closures

这个项目是关于理想的积分闭包的问题，特别是关于Briancon-Skoda定理的推广，关于联合约简，关于除数交理论，以及关于Rees代数的F-有理。少年派将在堪萨斯大学与克雷格·亨里克和丹尼尔·卡茨共事一年。该项目的一部分是与Huneke一起写一本关于理想的积分闭包的书，并在第二学期教授一门基于这本书的研究生水平的课程。该POWRE项目由数学科学部(DMS)和MPS多学科活动办公室(OMA)提供支持。

This project is about problems related to integral closures of ideals, specifically on generalizations of the Briancon-Skoda theorem, on joint reductions, on divisor intersection theory, and on F-rationality of Rees algebras. The Pi will spend a year at the University of Kansas colaborating with Craig Huneke and Daniel Katz. A part of the project is to write a book on integral closures of ideals together with Huneke and to teach a graduate level course based on the book during the second semester. This POWRE project is supported by the Division of Mathematical Sciences (DMS) and the MPS Office of Multidisciplinary Activities (OMA).