I think our interpretation of the world around us is very dependent on our "waking" state. If we're all sleeping, then there's noone to ask who is God, so the question becomes irrelevant.

I think concepts exist only in our minds, even if they describe something real like e.g. water or light. Reality should in a way be separated from our concepts.

But when you start questioning (the concept of) god, you start questioning the maker of our reality and thus also our interpretation of reality. But this is an ever-present assumption, without which we can't even do math. After all, you can't prove your perception of logic is correct.

So, I personally think that no satisfactory result about god will ever come from math. God is just too large. It puts too many things into question - things we need to function, things we base our logic on.

Though of course, there have been efforts of analysing god with math:

https://en.wikipedia.org/wiki/G%C3%B6del%27s_ontological_proof