If you're interested in 'luxury living' (and have that kind of money to spend), there is a new development on Poydras street, which is about a ten minute walk to medical school. Rooftop pool, anyone?
http://www.930poydras.com/
Slightly closer to the medical school and not as expensive is Gravier Place. Also has a rooftop pool but the building itself isn't brand new.
http://www.gravierapartments.com
And yes, swimchick is right: the insects can be frightening large and the city itself is situated in the midst of some good ol' Louisiana swampland but I would wager that most if not all of you will fall in love with the city. It's like nowhere else.