Ben Hummon
I am a graduate student in the UCSD math department. I'm interested in algebraic topology and higher category theory. My advisor is Justin Roberts. I also regularly meet with Michael Shulman.
Teaching
This quarter, I'm teaching Math 4C.
Research
Here is a draft of my paper: Coherence for Equivalence in Gray-Categories (last updated 12/18/11).
Talks
From the winter '09 topology seminar on Morse theory, Graph Flows and the Fukaya-Morse Category.
The fall '08 topology seminar was on higher category theory. John Foley gave a talk, n-Categories Part I: a Globular Approach to Higher Categories, (partial notes). Here's my follow up talk, n-Categories Part II: the Baez-Dolan Periodic Table.
I gave a "food for thought" talk on categorical coherence.
Basics of A-infinity algebras.
Prior Teaching
In winter 2011, I taught Math 3C.
I've TA'd a number of courses. Here are class web pages or notes from a few:
A lecture on closures and interiors from my point-set topology class.
LaTeX links
LaTeX is a tool for typesetting math. A good introduction is Getting Started with LaTeX, by David Wilkins at Trinity College. I also recommend Basic LaTeX tips, a Grad Student's Guide, Graetzer's book, Math into LaTeX, and Kopka's Guide to LaTeX.
For mathematical diagrams, I've used the XY-pic package. Aaron Lauda has an XY-pic tutorial which has examples of a lot of cool diagrams. For commutative diagrams, I've used the diagxy package, which also has decent documentation. Lately, though, I've been learning TikZ and PGF which I'd recommend over the others.
Here's a cool way to look up TeX symbols.
The AMS has some TeX documentation: short math guide, amstex user's guide, amsmath user's guide.
For text editing, I typically use emacs. Here's a tour and some info about running TeX from within emacs.
UCSD has a manual of instructions for formatting a thesis.
Fun Math Links
Hendrik Lenstra has a site about Escher and the Droste effect.
Jeff Weeks has some topology and geometry games.
Tom Hull has some info on math and origami.
Dmitri Tymoczko has some interesting work relating geometry and chord progressions.
Here is a paper Juggling braids and links.
Arthur Benjamin's Mathemagics Web Page.
Neil Sloan has the one and only On-Line Encyclopedia of Integer Sequences.
Funny math videos - I like G103.
A webcomic of romance, sarcasm, math, and language.
I am "Joe Harris's Algebraic Geometry: A First Course". Which Springer GTM are you?
I love the Klein Four Group's video of their song, "Finite Simple Group (of Order Two)."
Last, the Harvey Mudd math department has a pretty cool site of Math Fun Facts:
