He's seen us using the doorknob, and understands its function. We've seen him dangling from it, trying to figure out how to turn it and pull on the door at the same time. He's been trying to move the light end table and the cat carrier into position to help him.
Also, the screens that he hasn't used to escape, he's been systematically checking for weaknesses. Thoroughly, to the point that he has hooked his claws in and climbed to the top of the screens, seeing if there's anything loose at the top.
He gets more interesting though. He realizes that there is no queen to watch over the kittens, so he's been mothering them. He washes them and has been teaching them how to hunt. When Moses, Sarah and Dennis' cat plays too rough with them, he gives Moses a sound thrashing.
This cat is frighteningly smart and human like. I'm concerned that he might very well be smarter than me.
[edit:] I forgot to mention that he's figured out how to open the tupperware container that holds the food. The tupperware container that has two locks that are fairly stiff. Rochester is further proof that brains and brawn are opposing charechteristics. He's 13lbs. of pure muscle, and he's still underweight for his build.