Jae is a single-syllable Korean given name, as well as element in two-syllable Korean given names. Its meaning differs based on the hanja used to write it. There are twenty hanja with this reading on the South Korean government's official list of hanja which may be used in given names...
This is a list of Korean given names by type. Most Korean given names consist of two Sino-Korean morphemes each written with one hanja.
I have a friend named JAE HAN JAE HO JAE SAN JAE WOO JAE AN JAE YOON JAE BUM.