The need for deep decarbonization is now well understood. While meaningful progress has been made, the magnitude of this task cannot be overstated. Deeply decarbonized electric grids in France, Ontario, and Sweden use large fractions of nuclear power, and thus nuclear is included in many rapid deep decarbonization scenarios. Unfortunately, construction schedule slippage and cost overruns have been significant in recent nuclear builds, especially in the West. The concept of building nuclear power plants in shipyards and operating them on floating platforms several kilometers offshore offers intriguing solutions to these challenges. The controlled, serialized construction environment can improve both quality and speed. Deep-water operation can decouple the plants from earthquakes and tsunamis, and provides a robust heat sink (the sea). While perhaps surprising at first, this approach was seriously considered in the US in the 1970s. Today, Russia operates a floating nuclear power plant while China and South Korea are both planning similar projects. In this talk we will take a deep dive into the historical and technical bases of floating nuclear plants and explore the modern research and projects focused on ramping them up for deep decarbonization.