The "Ivy" or Ivy League, Princeton- Short haircut usually with 3.5 blade tapered in the back to a short Butch/Brush Cut on the topping.
The Executive-regular to long tapered haircut with a wave in front when hair is dressed with pomade, grease or gel pulled back away from the face
Pompadour- 1950's Rocker/Greaser cut with or without DA back. Can be cut tall and flat when roached up on steroids. sometimes mistaken for a flattop on Styled with a pomade, grease or gel.
Detroit-Long sides with flattop styled with a pomade, grease or gel.
Flat Top-Buzzed sides with flattop styled with hair wax/palmade.