I am a Ph.D. candidate in UCLA's Math department, working with Artem Chernikov. I'm interested in model theory as it relates to combinatorics and other fields. 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

- Generically Stable Measures and Distal Regularity in Continuous Logic: [arxiv]
- Fuzzy VC Combinatorics and Distality in Continuous Logic: [arxiv]
- Combinatorial Bounds in Distal Structures: [arxiv]

Accepted, Journal of Symbolic Logic: [doi] - The Fraïssé limit of matrix algebras with the rank metric: [arxiv]

- PKU Model Theory Seminar, Peking University (Online, April 2024)
- South Eastern Logic Symposium, University of Florida (Gainesville, Florida, March 2024)
- Logic Seminar, University of Maryland (College Park, Maryland, January 2024)
- Model Theory and Applications Seminar, Purdue University (West Lafayette, Indiana, January 2024)
- Logic Seminar, University of Illinois, Chicago (Chicago, Illinois, January 2024)
- Logic and Set Theory Seminar, UC Irvine (Irvine, California, November 2023)
- Logic Seminar, Kurt Gödel Logic Center (Vienna, Austria, May 2023)
- Séminaire Logique de Lyon, Université Lyon 1 (Villeurbanne, France, March 2023)
- Joint Mathematics Meetings (Online, April 2022)
- AMS Spring Central (Online, March 2022)
- Graduate Student Conference in Logic XXII (Online, March 2021)
- Short Model Theory Huddle (Online, May 2020)
- Caltech Logic Seminar (Pasadena, California, December 2017)

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 the summers of 2021 and 2022, 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

- Incidence Combinatorics [problems]
- Model Theory[notes]
- Surreal Numbers[problems][impartial games][partizan games]
- Sperner's Lemma and Brouwer's Fixed Point Theorem[problems]

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

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
- 61: Discrete Math

In 2019, I assisted at the Curtis Center.

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

- 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.