As the Internet becomes increasingly important to all aspects of society, the consequences of disruption are increasingly severe. Thus it is critical to increase the resilience and survivability of the future networks in general, and the Internet in particular. We define resilience as the ability of the network to provide desired service even when the network is challenged by attacks, large-scale disasters, and other failures. Resilience subsumes the disciplines of survivability, fault-tolerance, disruption-tolerance, traffic-tolerance, dependability, performability, and security. This presentation will provide a brief introduction to the disciplines and challenges to network resilience, and to our complex-systems analysis and heuristics to improve infrastructure resilience under cost constraints. Then, this presentation will describe ongoing work in the design and analysis of a new composable, cross-layered resilient transport (ResTP) and geodiverse multipath routing protocol (GeoDivRP). These protocols are designed to are being developed to provide resilience and survivability in the face of targeted attacks and large-scale disasters to the network infrastructure.