Dear friends! I am interested to study quantum physics at deep level.For that I think I should be well versed with many mathematical tools.Though I have some knowledge of algebra up to Galois Theory and some more related topics of commutative algebra. I am a mathematics teacher(more a student rather). From my information I think I need to study non commutative algebra as well.Please tell if I am thinking right or not.Suggest better steps if any. Also suggest some very good books. I am passionate about beauty of nature and mathematics describing it.