The area is called The Birthday Bowl. Like anywhere in the back country, just don't go solo, whatever you do. It's probably my most favorite spot to ski, anywhere in the US- a ton of snow blows into the Notch during any storm, so it's always far deeper than reported. If I didn't get 5 days of waist deep fresh tracks, it was a bad season.
Just ski out across the pond, hike up the boot pack for max 20 min (about 35 to Stowe) and you'll see spots to drop in. The further out you go, the gnarlier and more cliffed out it gets so be careful. You can't really get lost though as long as you ski down- almost all ways lead to the Notch road which you ski back to the #1 parking lot and rinse, lather, repeat.
If you don't have fun there, I can't help you haha