These lectures provides detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its app

Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Cent

First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of produci

Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from v

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository paper