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1.
A person who is hopelessly obsessed with the rock band Aerosmith.

"I can't believe that Aerogeek named his firstborn child 'Cryincrazy Amazacrazy'."
by S. Michael Simms October 02, 2007
 
2.
Someone who likes planes/aviation/etc. to such an extent that they feud with their rivals (often violently, but more often it's just a see-who-can-mentally-warp-the-other thing) in their furious attempt to take over the world.
EX1: Ah, you're such an aerogeek!

EX2: MAYDAY! Mortal aerogeek combat!!!
by C/SA Erin Ansell, USAFCAP June 19, 2006