Ben Hummon's math page
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 was an undergraduate at Vassar College.
Math
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 CW spectra.
Basics of A-infinity algebras.
Previous TAing
In Winter 2009, I TA'd Math 20B.
My 20D notes from Fall 2008.
A lecture on closures and interiors from my point-set topology class.
Category Theory Links
The Catsters have created amazing YouTube videos teaching category theory.
Video lectures of Jacob Lurie's work on TQFTs and the cobordism hypothesis.
John Baez has a bunch of things on his web site including:
- This Week's Finds in Mathematical Physics.
- Fun Stuff, including some course notes and thoughts on various topics.
- Papers.
- etc.
The n-Category Cafe.
Some mathematicians' web pages: Eugenia Cheng, Aaron Lauda, Tom Leinster, Joachim Kock, Jacob Lurie, Rezk, Kock.
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, Gratzer's book, Math into LaTeX, and Kopka's Guide t 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.
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.
General Math links
Allen Hatcher and Maia Averett have lists of recommended topology reading.
Dmitri Tymoczko has some interesting work relating geometry and chord progressions.
Jeff Weeks has some topology and geometry games.
Hendrik Lenstra has a site about Escher and the Droste effect.
Tom Hull has some info on math and origami.
Neil Sloan has the one and only On-Line Encyclopedia of Integer Sequences.
Arthur Benjamin's Mathemagics Web Page.
There is a weekly seminar aimed at grad students with free food: food for thought.
Info on what to do after quals and here, and here.
This is a pretty good listing of free online math texts. And another long list.
Fun
I've collected a page of math jokes gathered mostly from other people's pages of math jokes. Please, no high expectations if you're going to look at those.
I am "Joe Harris's Algebraic Geometry: A First Course". Which Springer GTM are you?
A site detailing common errors in the English language
My favorite web comics: xkcd, a softer world, wondermark, and perry bible fellowship.
Having trouble making a decision - random.org can provide an unbiased answer.
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:
