Originally designed as outerwear that could camouflage and be worn comfortably over military uniforms, trenchcoats are now sought out as much for making a fashion statement as they are for function.
A heavy plaid blazer, a tee, and some jeans will give you a studious vibe in the best way. Consider accessorizing with vinyl-style shoes (like mules!), a structured bag, and a gigantic scrunchie.