There is no field of "alien research", because as yet there is
nothing to study; i.e., no aliens are known to exist. You might go
into exobiology, but this seems inconsistent with a degree in aero
engineering.
I would recommend going to work for Rocketdyne, General
Dynamics, McDonnell Douglas, Aerojet General or Morton Thiokol.
Outside the United States, Arianespace might be a good option.