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 the paper Craig Huneke. Daniel Katz. Javid Validashti. "Uniform equivalence of symbolic and adic topologies." Illinois J. Math. 53 (1) 325 - 338, DOI:10.1215/ijm/1264170853 (a pdf file can be found on Dan Katz website).
