Carsharing is an advanced car rental system that allows its users to access and hire fleets of vehicles in different locations for short time intervals without owning one. Recently, these systems receive increasing attention not only because of the affordable and flexible mobility they provide to their users, but also because of their environmental and societal benefits. Carsharing systems are classified according to the flexibility they offer to their users. In round-trip systems, each vehicle has a dedicated parking spot and users have to pick up and return vehicles to these spots, whereas one-way systems allow their users to return vehicles to any spot in the system. In this talk, I will talk about problems we worked on related to one-way electric carsharing systems. First, I will describe the methodology we used in planning the locations of new stations in an already operating carsharing system. Second, I will summarize our work on the operational decisions, such as accepting/rejecting demand and assigning personnel to relocate vehicles. This part will cover optimization frameworks we propose for different systems with different reservation policies. Third, I will briefly cover our recent article on upgrading chargers in existing electric carsharing systems. I will conclude my talk with the interesting open research questions from the carsharing literature.