Nicolai is a common male given name of Slavic origin, often associated with the name Nicholas. It is popular in various countries, including Russia, Germany, and Scandinavia. The name means "victory of the people" and has historical significance due to its association with several saints and rulers. In addition to being a name, Nicolai can also refer to various places, such as Nicolai, Idaho, a small town in the United States. The name is also used in the context of Nicolai's theorem, a concept in mathematics. Overall, Nicolai has diverse cultural and geographical relevance.