The objective of the proposed research is to explore the challenges and opportunities that arise from infrastructure mobility.  This objective is further divided into three primary research thrusts: deployment, orchestration, and the enabling of new capabilities.  Mobility inverted networks (MINs) are a broad class of wireless networks in which the traditional mobility paradigm is upended. As opposed to traditional mobile networks which confine mobility to user equipment at the edge of the network, in MINs the wireless infrastructure itself is mobile and often more mobile and dynamic than the user equipment. The first research thrust is in exploring how infrastructure mobility affects the deployment of wireless networks.  As a case study we consider ad-hoc deployment of a UAV-based network to provide connectivity in the wake of a natural disaster which has damaged existing communication infrastructure. We demonstrate how UAV mobility can be used to create a Radio Environment Map, which greatly simplifies the problem.  Our second area of investigation is on the orchestration of a network dealing with infrastructure mobility.  We do so through the lens of Non-Terrestrial Networks (i.e., satellite-based 3GPP mobile networks) where the frequent satellite churn makes it challenging to maintain existing paradigms for UE-to-RAN (Radio Access Network) association.  In response, we have designed a holistic framework which marries a split RAN architecture with a hierarchical suite of network orchestration algorithms to provide efficient, balanced control of multiple metrics: stability, latency, network utilization while remaining scalable for large-scale NTN deployments. Our final research thrust, and the primary theme of our future work is to utilize the infrastructure mobility of MINs to enable capabilities in communication networks. Specifically, we propose integrating sensing (e.g., positioning) and communication into NTNs and fusing this feature with existing terrestrial network-based positioning for enhanced service.