Vehicular Ad-Hoc Networks (VANETs) are connected networks of vehicles and infrastructure that allow for communication between parties. VANETs are ever changing now that technology in and around vehicles is rapidly changing as well. Sensors, personal devices, and autonomously driving vehicles all pose new security threats to smart cities. Elliptic Curve Cryptography (ECC) can offer increased security and lowered computational effort in many of these scenarios. Our work will systematically review how ECC is being applied in real world scenarios and how it can be applied in the future to improve vehicle security in VANETs.