Classes
Caveat lector iterum! 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
Colloquium at Mathcamp 2022 [slides]
- 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