Place potatoes in a medium saucepan and add enough cold water to cover by 2 inches. Bring to a boil over high heat. Reduce the heat so that the potatoes remain at a low boil and cook until fork tender, about 10 minutes. Drain in a colander placed in the sink.

Transfer the potatoes to the bowl of a food processor along with all remaining ingredients and process until fairly smooth, 1 to 2 minutes. Return the potato puree to the saucepan and warm gently over low heat, stirring frequently, before serving.