That would be number 11 on her paper site "Linear equivalence of topologies".

As for Problem 0.9, it is known for regular local rings over fields by Ein-Lazarsfeld-Smith and Hochster-Huneke. The most recent result is for isolated singularities, see [this paper](http://www.projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.ijm/1264170853) (a pdf file can be found on Dan Katz website).