I have always been fascinated by the fundamental problem of metaphysics: why does anything exist?  There are not many good discussions of this question to be found.  The best may be in Robert Nozick's "Philosophical Explanations".  Here is my own not-so-humble offering, which probably suffers (among other things) from too mathematical a formalization (force of habit, sorry).

I am neither a real musician nor a real computer programmer, but perhaps I could be a real computer-music researcher if I worked hard enough.  Here is a "composition" generated using Mathematica, to which I added 3 "hand-composed" solo parts.  It is in ogg vorbis format; to find players and plugins look here.  I also have a page at Download.Com where other pieces are available; some are completely computer generated, some completely composed by hand.  I also have a complete suite of pieces at another webpage of mine, not active now; these pieces become progressively weirder, beginning in a primitivist style and ending in with an attempt to adumbrate a mystical experience.

From time to time I still surrender to the mathematical itch.  Here are some papers that aim to provide some heuristic purchase on important mathematical results.  The Prime Number Theorem was one of the great results of 19th century mathematics.  The Central Limit Theorem is one the fundamental principles of probability theory.

Here is my teaching page. 



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