With the advent of new material systems and the ease of fabrication of heterostructure devices, novel memory devices based on emergent physical phenomena are an intense focus of current research. Our research explores emerging memories based on spin-transfer torque (STT-RAM) and resistive switching (RRAM). Both conventional STT-RAM devices using magnetic metals and tunnel oxides, as well as novel topological-insulator (TI) based devices are being investigated. Cerium and Hafnium oxide based RRAM devices are also being explored for non-volative memory applications, and for potential in neuromorphic computing.