Fiber cones and the integral closure of ideals

Let ($R,m$) be a Noetherian local ring and let $I\subseteq R$ be an ideal. This paper studies the question of when m$I$ is integrally closed. Particular attention is focused on the case $R$ is a regular local ring and $I$ is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.