Here's another guy who used to live in the shadow of the QutabMinar. Imam Zamin came from Turkistan to carry out duties in the nearby mosque. He lived in a corner just outside the gate and taught in the madrasa. The stories also say that he was pretty homesick, but he liked looking up at the Qutab every day enough to stay around.
In fact, the Imam liked it so much that he had his tomb built here, and then shortly after he died.