Having control over logic requires acting outside of logic itself, which is illogical. I expect that this is where a decent amount of this character's personal drama will arise from. Until he arrives at some method of "meta-logic" or learns to accept what is illogical as a part of himself, his low Domain score represents finding Logic more as a limitation than as a sphere to control.
Another theme that seems like it should be important is the existence of mutually exclusive, yet logically valid ethical and geometric systems. This has already been touched upon, with TheViridianLabyrinth following non-Euclidean geometry, and can be fleshed out more.