This open problem taught me what topology is

Large Language Models explained briefly

Why 4d geometry makes me sad

How I animate 3Blue1Brown | A Manim demo with Ben Sparks

How are holograms possible?

How might LLMs store facts | DL7

What "Follow Your Dreams" Misses | Harvey Mudd Commencement Speech 2024

Attention in transformers, step-by-step | DL6

Transformers (how LLMs work) explained visually | DL5

How well do you understand refraction? | Optics puzzles 4

But why would light "slow down"? | Optics puzzles 3

25 Math explainers you may enjoy | SoME3 results

How wiggling charges give rise to light | Optics puzzles 2

This tests your understanding of light | Optics puzzles 1

A pretty reason why Gaussian + Gaussian = Gaussian

This pattern breaks, but for a good reason | Moser's circle problem

How They Fool Ya (live) | Math parody of Hallelujah

Convolutions | Why X+Y in probability is a beautiful mess

Why π is in the normal distribution (beyond integral tricks)

But what is the Central Limit Theorem?

But what is a convolution?

Researchers thought this was a bug (Borwein integrals)

What makes a great math explanation? | SoME2 results

How to lie using visual proofs

Olympiad level counting (Generating functions)

Oh, wait, actually the best Wordle opener is not “crane”…

Solving Wordle using information theory

A tale of two problem solvers (Average cube shadows)

2021 Summer of Math Exposition results

Beyond the Mandelbrot set, an intro to holomorphic dynamics

Newton’s fractal (which Newton knew nothing about)

Make math videos! | Summer of Math Exposition announcement

A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra

How (and why) to raise e to the power of a matrix | DE6

The medical test paradox, and redesigning Bayes' rule

Hamming codes part 2: The one-line implementation

But what are Hamming codes? The origin of error correction

Group theory, abstraction, and the 196,883-dimensional monster

The impossible chessboard puzzle

The DP-3T algorithm for contact tracing (via Nicky Case)

Lockdown math announcement

Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2

Simulating an epidemic

Binomial distributions | Probabilities of probabilities, part 1

Exponential growth and epidemics

The quick proof of Bayes' theorem

Bayes theorem, the geometry of changing beliefs

Q&A with Grant, windy walk edition

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

The unexpectedly hard windmill question (2011 IMO, Q2)

e^(iπ) in 3.14 minutes, using dynamics | DE5

Pure Fourier series animation montage

But what is a Fourier series? From heat flow to drawing with circles | DE4

Solving the heat equation | DE3

But what is a partial differential equation? | DE2

Differential equations, a tourist's guide | DE1

Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

How colliding blocks act like a beam of light...to compute pi.

Why do colliding blocks compute pi?

The most unexpected answer to a counting puzzle