Bill Richter's Home Page (Pdf version)


I'm a mathematician interested in computers. Here's my computer resume.

Here's some Gambit Scheme code to calculate the Curtis algorithm in the Lambda algebra. My latest preprint is Lambda algebra unstable composition products and the Lambda EHP sequence. See also EHP proof of the Lambda admissible monomial basis.

Here is a 760 line Scheme program lc_v.scm computing essentially the standard reduction function of the Lambda Value Calculus discussed in Felleisen and Flatt's notes on LC_v: http://www.ccs.neu.edu/course/com3357/mono.ps.

My mathematical interests are topology, homotopy theory, high dimensional knots, surgery theory. See my latest preprint Poincaré surgery with John Klein, for recent progress. I've gotten interested in Computer Science, especially Matthias Felleisen's Lambda value calculus, and wrote a paper on the Standard Reduction Theorem in the Lambda Calculus, which explains in what sense the Lambda Calculus is a "compiler".

I have recreational Math interests in mathematical physics (even coauthored a paper with a physicist) and PDE (my thesis was essentially on the Maslov characteristic class of Quantum Mechanics).

I generated most of Coxeter's 59 stellations of the icosahedron with Mathematica, including the 3 inline images above. The starting point is that the icosahedron is given by 3 golden rectangles:

The picture illustrates that the golden mean is ratio of diagonal of a pentagon to a side. Note that the 1st stellation looks quite different from the Mathematica icon. Moreover, the Mathematica/Maple "Stellate" command will not in fact produce stellations. A 5-pointed star is the simplest example of a stellation (of a pentagon).

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Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
richter@math.nwu.edu