Scholarly work on the beauty of math
There is an essay by Gian-Carlo Rota, Professor of Applied Mathematics and Philosophy at MIT, titled "The Phenomenology of Mathematical Beauty", which appears as Chapter X in his book Indiscrete Thoughts (not to be confused with one of his other books, Discrete Thoughts). I am inclined to disagree with his bottom-line conclusion, but I agree with his explanation that beauty and elegance are two quite different things. His bottom line: "Mathematical beauty is the expression mathematicians have introduced in order to obliquely admit the phenomenon of enlightenment while avoiding acknowledgment of the fuzziness of the phenomenon." I am not convinced of that.
There seem to be something written, googling brings http://www.jstor.org/discover/10.2307/40247796?uid=3738744&uid=2&uid=4&sid=21103271738653
and
http://eric.ed.gov/?id=ED501123
This article contains references you can fol,low :
https://en.wikipedia.org/wiki/Mathematical_beauty
I don't know if this is what you're looking for, but this is a recent study correlating mathematical beauty with other forms of beauty in the experience of mathematicians' brains in fMRI scanners. Here's a summary by Scientific American.