Yes, this area is called "Manhattan Valley". I lived there for two years while studying CS at Columbia and loved it. We had 5 guys in a 4-bedroom (actually 3BR with a walk-through room with an office that we used as a small bedroom) apartment at 108th St and Broadway. $3k/mo in rent. The location was amazing: 10 minute walk to Columbia, 3 minutes to the 1 train stop at 110th St, 2 minutes to Thai Market (my favorite Thai place in Manhattan).