One stubborn human + one stubborn cat = one month of sleepless nights?

Not sure there's a good answer. A few things to consider. An automatic feeder so the cat stops ociating you with food. Hide the food around the house so it takes him awhile to find it. Also provides some much needed mental stimulation. Put the food in a clean soda bottle with holes cut in it so the cat has to roll it around to get the food. Also be careful not to cut back too quickly. It's not healthy to lose too much weight too quickly, plus it makes it kind of obvious that his food is limited. I'm not sure how he's keeping you awake at night so this tip might not be at all useful. I lock my cat out of the room at night and have become accustomed to him "pounding" on the door such that I can sleep through it. But another option might be locking him in a spare bedroom or the basement or something. Good luck!