Teaching

University classes

ETH Zürich (lead instructor)

Ramsey theory

Stanford University (teaching assistant/course assistant)

The Greek Invention of Mathematics
Math Discovery Lab
Modern Mathematics: Discrete Methods
Graduate Real Analysis II
Modern Mathematics: Discrete Methods
The Greek Invention of Mathematics
Applied Matrix Theory
Elementary Functional Analysis

Mathcamp classes

I have taught classes while a counselor at Canada/USA Mathcamp, a summer program for high-school students. Below are lecture notes and homework for most of these classes, some of which are week-long classes and some of which are shorter.

Caveat lector! Many of these lecture notes are incomplete, full of typos, and completely bereft of references and citations. Additionally, some of these classes are very silly.

The Four Cube-Face Fun Fact of “The Barn” (aka Lagrange’s Four-Square Theorem, using words of length ≤ 4)
The Ham Sandwich Theorem and Friends
The Fast More Four Do Over (aka the Fast Fourier Transform, using words of length ≤ 4)
Harmonic Functions on Graphs
Math and Literature
The Kakeya Conjecture
The Shannon Capacity of Graphs
Ancient Greek Mathematics
Advanced Complex Analysis
The Kakeya Maximal Conjecture
The Combinatorial Nullstellensatz
The Szemerédi Regularity Lemma
Fast Matrix Multiplication
Hedetniemi’s Conjecture
Ancient Greek Calculus
Crossing numbers
Euclidean geometry beyond Euclid
Martingales
Three-term arithmetic progressions
Extremal graph theory
The probabilistic method
Szemerédi’s {theorem, regularity lemma}
Ancient Greek mathematics
The uncertainty principle
The Combinatorial Nullstellensatz
Why June Huh won the Fields Medal
Algebraic complexity
The law of anomalous numbers