Fun game! I just can't resist a good tower defense game, and this is one of them.
Mechanics-wise the dice mechanics bring some interesting chaos to the mix. At first I was frustrated by the apparent lack of control you have over them, but then I became a master of stunning enemies with dice throws, and enjoyed going Sickos.jpg when a fire-shield 6 would land on a corner just right.
My only two nitpicks are that the difficulty curve could be tuned a bit better (it starts out rough then gradually becomes much easier-- I left the game idling for a while and now I'm at wave 48 and counting) and that it would make more sense for the player sprite to be an in-universe character rather than a cursor. Cursors don't usually have to worry about getting hit by enemies or avoiding obstacles!
Anyway, great job!