On the Briancon-Skoda theorem on a singular variety
  Let $Z$ be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring $\mathcal{O}_Z$; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results. 
Mats Andersson, H{\aa}kan Samuelsson, Jacob Sznajdman