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In this practice qualifying exam talk, I'll talk about my three projects on cascades in networks. The networks have either multiple types of nodes (multitype) or multiple types of edges (multiplex). The goal of the first project is to determine what amount of interdependence among systems like infrastructure is optimal for systemic risk. The second project concerns behavior adoption in social networks and explores how multiple kinds of interactions facilitates cascades, with applications to viral marketing. The last is a new model of innovation and collaborative problem solving in networks. This is joint work with Raissa D'Souza, Elizabeth Leicht, Kwang-Il Goh, Kyu-Min Lee, David Sivakoff, Rick Durrett, Shirshendu Chatterjee and Partha Dey.