I am a fourth-year grad student at UCLA's Math department, working with Artem Chernikov. I'm interested in model theory as it relates to combinatorics and algebra. I graduated in 2018 with a B.S. in mathematics from Caltech.

I also teach at the Olga Radko Math Circle.

Feel free to email me at aaronanderson at math.ucla.edu

# Research

• My graduate research so far has focused on the combinatorics of distal cell decompositions, resulting in this paper. I presented some of that research at the SMTH online conference.[pdf slides]
• In the summer of 2017, I worked with Martino Lupini on a Caltech SURF project. We have shown that a certain ring with metric, constructed by von Neumann as a limit of matrix rings endowed with a rank metric, is the metric Fraı̈ssé limit of said matrix rings, and given this, we have shown a few more facts about this structure, related to the Kechris-Pestov-Todorcevic correspondence. [arxiv][slides]
• In the summer of 2016, I worked with Alexander Kechris on a project in Descriptive Set Theory.

# Teaching

Most Sundays, I teach high school students at the Olga Radko Math Circle, which I also attended in middle and high school. Here are some of the lessons I've written:

• Electrical circuits and random walks [pdf 1][pdf 2]
• The Cantor Set [pdf 1][pdf 2]
• Triangulated polygons and frieze patterns [pdf 1][pdf 2]
• Generating Functions [pdf]
• Graph Theory, Sperner's Lemma, Brouwer's Fixed Point Theorem [pdf 1][pdf 2]
• Game Theory [pdf]
• Cryptography [pdf]
• Dynamical Systems (mostly on the Logistic map and the Mandelbrot set) [pdf]

Email me at aaronanderson at math.ucla.edu for solutions.

In Summer 2021, I taught at Canada/USA Mathcamp, which I also attended in high school. Here are problems and notes for some of the classes I taught

Email me at aaronanderson at math.ucla.edu for solutions.

## UCLA Teaching

I have been a teaching assistant for the following math classes at UCLA:

• 114L: Mathematical Logic
• 180: Graph Theory
• 170: Probability
• 106: History of Math
• 33A: Linear Algebra

In 2019, I assisted at the Curtis Center.

## Caltech Teaching

At Caltech, I was a teaching assistant for Ma6a: Discrete Math.

# Miscellaneous

• I am a contributor to mathlib, the main repository of math formalized in the Lean theorem prover. My contributions are visible on github.
• In summers 2011-2014, I attended Canada/USA Mathcamp, and I recommend it most strongly for high-schoolers interested in math.
• As an undergrad, I helped organize the Caltech Harvey Mudd Math Competition, a one-day, on-site math competition for high school students.
• Dabney Pumpkin Drop: Every Halloween, residents of Caltech's Dabney Hovse freeze pumpkins in liquid nitrogen and drop them off the tallest building on campus, Millikan Library. I was one of the pumpkin-droppers for several years, and was interviewed for this video.