brilliant but socially diverse s
Ha ha, I know you do not intend to be offensive, but it seems wrong to suggest that things are not ordinarily brilliant when diversity is present.
I challenge you to condense that whole first paragraph into one sentence, or maybe a sentence and a half. You can be more efficient, and that will leave you room to specify at the end of that first paragraph exactly what you discovered that made it perfect for you.
Again, in that conclusion, I still cannot discern a clear answer about what makes it a perfect fit. Is there a word that captures the benefit it will provide for you? I think this essay needs a theme. Otherwise, it basically says you want to study math & science and join the band. That is not very memorable... it will be better if you can think of a perfect word or phrase to use as your theme. Know what I mean? Wait for inspiration to come later today, and type that perfect word.