The game was developed by Greg Kuperberg, a naturalised American who was originally born in Poland in the late 60s. During the early 80s, he developed three games for the IBM PC which would all turn out to be ports from other platforms (the other two games he developed were Pac-Man and J-Bird, a port of Q*Bert). He soon after enrolled into Harvard University and received a bachelor's degree in 1987. Greg is now a well published professor of mathematics at the University of California, Davis.
To download the original Paratrooper (at a whopping 6.9kb!) go here.