Despite the amount of people that complain about the weather, the skiing is actually pretty weak. Greek Peak is a horrible mountain. They've had the same rails for 5+ years. They leave them up on the mountain year round and let them rust. For the most part, the features are about 6 inches off the ground. The majority of them are so rusted and poorly set up that they are useless. Greek Peak is about 30-40 minutes away. Greek Peak has a few glade runs that are fun if they get dumped on. The mountain overall is very small and the lifts are the slowest I've ever been on. It's hard to imagine but if you already know how to slide a rail and box, the park is completely useless.
Toggenburg is about an hour away. It's a tiny mountain, even smaller than Greek Peak but they put some sort of effort into their park but don't expect much. They have a decent amount of rails and a few jumps. The features are actually normal-sized. They are set up well enough to hit but its always a little sketchy. Toggenburg has $15 lift tickets every day for college students so in my opinion its the best place to go.
Labrador which is also about an hour away is apparently pretty comparable to Toggenburg and maybe even better but they have full price lift tickets (except for certain week nights I think). I've never been.
In summary, there's skiing in Ithaca but its really really bad. Then again you're in college so you may have 3 day weekends in which you can go to VT and then there's also winter break which is prime ski time.