The volume conjecture relates the hyperbolic volume of a knot complement to quantum invariants of the knot.

A while back I made some movies which began with a triangle in the plane, reflected that triangle through its three sides, reflected those triangles through their sides, and so forth. The interesting result is that for only four shapes of triangles, the resulting set of triangle vertices is discrete.

I have really fallen in love with Google Books Ngram Viewer, so I thought I'd do a little culturomics'' myself. Here's an image I made using Google's data:

A very long while ago I posted some solutions to Lights Out; back then, I solved the $n$-by-$n$ board by row-reducing an $n^2$-by-$n^2$ matrix.

My advisor, Shmuel Weinberger, was teaching Math 113, and asked for some pictures of the following procedure:

I recently gave a beamer talk, which gave me the chance to point the beamer at my blackboard.

According to the Mathematics Genealogy Project, my mathematical genealogy is: