I have seen many very interesting ways of connecting mathematics with the arts and computer science. In particular, there was a big push in the 80's and 90's with popularizing fractals (an aspect of nonlinear mathematics) and computer science that included mathematical results in some art gallerys and bestseller books. Most of the initial mathematics of fractals can be easily understood by a strong high school student.
With some more difficult mathematics, music is very amenable to mathematical analysis, by looking at fourier analysis of particular songs and comparing the frequency distributions of the songs.
Image analysis, compression and wavelets are some intriguing ways of tying in art with mathematics and computer science.
In all cases, starting with google and any of these search terms will turn up some very interesting links as a starting point for you.
One can link math to the fine arts, in regard to music. Musicians have to keep beats according to counts. If one musician is off on their count, the other musicians can be as well. Essentially, it would be like every instrument was being played from a different song. It simply would not sound "right."
It is certainly possible to find mathematical connections in almost every area. In the fine arts, you might look for equations or a statistical analysis of how a particular artist paints. For instance, you might look at the sharp angles created in many of Picaso's works or find an artist with unique geometrical patterns in their work.
In attempting to connect mathematics and English, you might do better looking at the study of linguistics. This area looks at the nuts and bolts of language. It lends itself much better to statistical analysis and mathematical properties. Of course, you could always analyze a particular work of literature with mathematics as well.
Computer science is probably the easiest area to connect to mathematics. Computers use mathematical equations and algorithims. All computers programs use math in some way to perform their various operations.
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