Title: Two network problems and their application to streaming codes Abstract: We consider two established network-related problems, whose complete solutions are open. The first is a resource allocation problem that can be posed in a distributed storage context as follows. The problem is to store a unit size data object on a set of storage nodes such that the total amount of storage used does not exceed a given budget, and the probability of successful recovery is maximized under a given probabilistic model for node failure/accessibility. The second is network error correction coding for reliable communication over networks where arbitrary errors can occur on an unknown subset of links. We describe how some of our recent results on these two problems can be combined to design and analyze erasure correction coding for online streaming under probabilistic packet erasures. Bio: Tracey Ho is an Assistant Professor in Electrical Engineering and Computer Science at the California Institute of Technology. She received a Ph.D. (2004) and B.S. and M.Eng degrees (1999) in Electrical Engineering and Computer Science (EECS) from the Massachusetts Institute of Technology (MIT). She was a co-recipient of the 2009 Communications & Information Theory Society Joint Paper Award. Her primary research interests are in information theory, network coding and communication networks.