The idea of mutating to acquire different abilities is fun, I wish the levels would ask you to switch between shapes more. It might happen later in the game, but I stopped in the third one (round shape) because the controls felt a bit floaty to me and I couldn't go past the big jumps (and also redoing the whole level every death was a bit annoying).
I would suggest to not move the camera as soon as the player jumps, it made me a little sick to follow my character. A classic way to solve this is to only start moving the camera vertically if the player moved more than a given distance, or as the old Mario games would do it only move the camera vertically when the character hits the ground, As it is it's a bit hard to stick your landing when both the camera and the character are moving.