Is there a way to display the alternate written form on the main study page? i.e. I'm studying traditional characters, but want to see the simplified form as well without having to click on the "look up more info on this word" button each time.

Not yet; that's one of the things that we want to do in a redesign of that area. We couldn't find any space to fit it in there with the current study layout.

Thanks Nick, good to know it's coming. My first thought would be to just put it in parentheses after the characters at the top-right of the screen (the ones that show up after you've written the character(s) )