Expository notes and articles
Please use at your own risk.
From grad school
I wrote a lot of unpolished notes, mostly for personal use. I might put them here one day.
From early grad school (when I still thought I might want to do number theory)
- Simpler form of the trace formula for GL_2(A), for the Number theory learning seminar 2013-2014 at Stanford.
- On spherical representations of p-adic groups and the classical Satake isomorphism, for the Number theory learning seminar 2013-2014 at Stanford.
Things I wrote as an undergrad
- Structure Theory of Reductive Groups through Examples, summer study funded by Princeton University Mathematics Department, under advisor Tasho Kaletha (Summer 2011)
- Expanders and Related Results, for Princeton University's Junior Paper requirement, under advisor Alireza Salehi Golsefidy (Spring 2011)
- An Application of the Weil Conjectures to PAC and Large Fields [with Erick P. Knight], for the course MAT 416: Algebraic Geometry at Princeton University, taught by János Kollár (Fall 2010)
- A Commutative Diagram of the Heavens. For an invited talk at the high school math competition Math Day at the Beach at California State University, Long Beach (March 15, 2014).
A talk about the planetary days for a mathematical audience. The material here is certainly well known. The presentation is original and is inspired by conversations with Brian Lawrence. Here's an amusing application of this material: if you know Chinese and (say) French, you can figure out the days of the week in Japanese. With a little more effort, you don't even need French.