Well, with kitchen gear, its all about what you need personally. Apparently, the Housing dept has purchased a set of pots and pans for each kitchen this summer, but they haven't been distributed yet, so I don't have any more info than that.
So if you have a favorite pot or pan, bring it. Also, you will need dishes, cups, silverware at least (even if you are only going to eat in). Basically, don't assume anything is here besides pots/pans. Even then, if you get here, and you need something, there are plenty of ways to buy it. Actually, if you are planning to buy kitchen stuff, don't bother buying it at home. Wait and buy it here (I got a service setting for 4 at Bed/Bath/Beyond for 30 bucks) to save having to haul crap around while moving. The internet is also your friend.
As for appliances, each kitchen has like 3 microwaves, so if you don't mind walking down the hall, don't waste your money buying one. Besides, you are not supposed to have them, but I know plenty of people who do and no one cares. Thats just a preference thing. I will say though, there are limited electrical outlets in each room (2 sets of 2, and one for the AC) so limiting your non-essential power demanding things is probably a good idea.
I may have addressed the refrigerator thing before, but I don't blame anyoine for not looking back. Again, it depends on your needs. I have an "apartment" size refrigerator, with a seperate freezer. (Here is the product page from Avanti
http://www.avantiproducts.com/fridge/653sst-details.html) This really helps because I can keep anything I cook for leftovers, and freeze the pasta sauce and such that I make in bulk. There are big communal freezers in each kitchen, so its not that important, but I like having my own. No guaranteed communal refrigerators though. So if you are going to cook often, opt for a larger size. If you never want to cook, all you may need is a small cube for drinks and left over take out. Again, don't necessarily buy one and bring it here unless you see an insane deal. I got mine at PC Richard's which is a big elecronics/appliance store in the city, and they had a much better selection than any of the big chains.
Finally, don't leave any of your favorite stuff in the kitchens. Most people are good about it, but I did have a 2qt saucepan walk on me, even though I left it for only 2 days. Finding a big bin to store it in your room is a good idea, as well as some carry all to transport stuff to the kitchen when you want to cook. It can be a pain sometimes, but you can save money by cooking.
On a related note, don't bother going to the grocery store here. Not only is it inconvenient when you need a lot of stuff, but its very expensive. Use FreshDirect.com. You order on line, and they deliver the next day. Even with the 6 dollar delivery charge, you come out ahead price wise. They also have a much better selection than most of the grocery stores around here. Also, find people to order together with, and you can minimize the delivery charge effect (and get over the 50 dollar minimum). Sometimes, however, you will need to go to the store to get a few things. Gristede's is close, and its decent, but I wouldn't touch their produce or meat (not only a poor slection, but not so fresh looking). The better choice is probably D'Agostino's (another grocery store) or Todaro's on 2nd Ave (A small italian foods store, with a great cheese sleection, good deli/butcher, and is especially good for produce). Associated Supermarket isn't bad (and is the cheapest), but its pretty far away (23rd St.).
Sorry for the length. Hope that helps.