Latin word genius comes from Proto-Indo-European *ǵenh₃-, Ancient Greek Γένθιος

Detailed word origin of genius

Dictionary entry	Language	Definition
*ǵenh₃-	Proto-Indo-European (ine-pro)
Γένθιος	Ancient Greek (grc)
genius	Latin (lat)	(of the intellect) wit, talents, genius (rare). (with respect to the enjoyment of life) the spirit of social enjoyment, fondness for good living, taste, appetite, inclinations. The deity or guardian spirit of a person, place, etc.