It's called UI (User Interface) designer or programmer. And yes, that is a valid specialty, typically for large studios who can throw one or even more persons on that specialty. You do require math, especially trig and calc, and you'd probably have to slog through being a generalist for a while as well. Controls aren't of course just the buttons that you hit to control the character, but also the feedback to the player - screen design elements - and especially in 3D games, camera control.
It's also one of the most fun parts of game-working, so there's a good bit of competition for it.
Yeah it definitely sounds like it. If I were a game designer, it'd be the number one thing I'd be interested in.
I'm actually giving it a second shot, and I think I will pursue game design, even tho I'm getting a B or worse in Intermediate Algebra right now.
What do you mean by "screen design elements"?