[Roberton3]

According to the NCAA rules, it does appear that if an offensive player catches the ball on the 1 yard line, the defender can catch the player in the air and carry him on his shoulder (without ever stopping forward progress) through the endzone and out the back of the endzone before allowing the player to touch the ground, then the pass is incomplete.  If the offensive player's forward progress stops, then the player is considered down and the pass is completed.

The same thing is true on the sideline.  If you catch the offensive player in the air and carry him 10 yards without stopping forward progresss to the side line and out of bounds, it is an incomplete pass.

Yep.  But if the receiver catches the ball, touches his foot down at the 1, and then is carried from there out the back of the end zone by a defender, it's a touchdown the moment he crosses the goal line.

[Roberton3]

According to the NCAA rules, it does appear that if an offensive player catches the ball on the 1 yard line, the defender can catch the player in the air and carry him on his shoulder (without ever stopping forward progress) through the endzone and out the back of the endzone before allowing the player to touch the ground, then the pass is incomplete.  If the offensive player's forward progress stops, then the player is considered down and the pass is completed.

The same thing is true on the sideline.  If you catch the offensive player in the air and carry him 10 yards without stopping forward progresss to the side line and out of bounds, it is an incomplete pass.

Yep.  But if the receiver catches the ball, touches his foot down at the 1, and then is carried from there out the back of the end zone by a defender, it's a touchdown the moment he crosses the goal line.