Algebraic geometry, moduli problems, invariant theory, representation theory. See my research page for more detail.
My mathematical interests are largely in algebraic geometry, particularly foundational questions about algebraic stacks. See my Research page for more information. If you're looking to hire me or give me money, you should also look at my CV.
As a real-time TeXer, I've accumulated some course notes that I find to be useful references.
Okay, I don't really blog, but I do sometimes write up something interesting that I think about. Here are some links to those things:
|(2013-09-23)||A bug in my high school physics intuition.|
|(2013-07-30)||Misconceptions about machine learning.|
|(2012-07-21)||Wanted: adaptive navigation app. How to make GPS navigation systems better.|
|(2012‑07‑14)||How to write diagram chases. A proposal for how to write diagram chases so that they're readable.|
|(2012-07)||My Tooth Implant. My experience replacing a tooth.|
|(2012-01-26)||Non-(affine line)s. My collection of strange things that look like $\AA^1$.|
is a question and answer site for professional mathematicians. I founded it and helped to make it successful. You can read about it in the Notices, from the Simons Foundation, in the Atlantic, and on many different blogs.
I've taught several courses over the years. Check out the course pages.