Proving something in science is difficult at the best of times; proving the
non-existence of something in a scientific way is even harder. Most scientists
would say that the hypothesis of the existence of God is not a scientific
theory, so it is not something that science can either prove or disprove.
The furthest that most scientists will go is to say that science has no need for
the hypothesis of God. But then, science has no need for the hypothesis of your
existence - and you probably don't think this means that you don't exist.
The question of whether science needs the hypothesis of God really comes from
the days when God was used to explain the bits that the scientists didn't
understand - the 'God of the gaps' position. This was both bad science and bad
theology, and most people today are very glad we have moved away from it.
If science had disproved God, you would expect to find people choosing between
science and faith in God. The reality is that many scientists - and many of the
greatest scientists - have been and still are Christians. They find no conflict
between the two fields of interest.
The one area left today where science and God seem to interact is the question
of origins... which we will presumably look at later.