Latest Posts

Category Theory Day One
My officemate asked me to give a “second lecture” in category theory in Eminar, the Tufts graduate student seminar. I gave a first lecture last semester, but I thought it might be nice to have something to point people who missed it to, in order to stick to my assignment and begin at the Yoneda lemma. So, here is yet another rendition of the first hour of a category theory class.

Choo Choo
Today I posted my first paper, Train Tracks, Orbigraphs and CAT(0) Freebycyclic Groups to the ArXiv! Here is a description of the paper and the idea behind the main application.

A Digression
I’m not sure what this post set out to be. It ended up a digression on set theory vs. category theory.

The Category Of Graphs
You know the sensation where a familiar word becomes suddenly completely strange for no apparent reason? Like suddenly the scales fall away from your eyes and you see how utterly weird it is that a concept has a particular name? I’ve been having that feeling with the word graph as I use it in math.

Hello World
Earlier this week, Marc Weidenbaum of disquiet.com wrote a paean to the blog that I found really inspiring. “Selfpublishing,” he writes, “is the heart of the healthy internet.”