Mathematical Sciences: Commutative Rings and Differential Graded Algebras

该项目涉及的几个主题， 交换环同调理论与微分分次 代数 本研究的一个主题是， 在经典的环同调理论中， 将其置于更广泛的背景下， 微分分次代数 首席研究员还将 研究有限平坦维数同态。 本文研究的是代数几何的接口问题 和交换代数 目前，这是一个非常活跃的领域， 一个相关的交换代数被用来获得精炼的 了解基本的几何对象。

This project is concerned with several topics in the homological theory of commutative rings and differential graded algebras. A theme of this research is that many problems arising within the classical homological theory of rings are most effectively treated by placing them in the broader context of differential graded algebras. The principal investigator will also study homomorphisms of finite flat dimension. This research is on the interface of algebraic geometry and commutative algebra. This is currently a very active area in which an associated commutative algebra is used to obtain refined knowlege about the underlying geometric object.