But what is cross-entropy?
Compression is Intelligence Part 2
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Latest episodes
On monthly puzzles
And the plan for their solutions
Reinventing Entropy
Compression & Intelligence Part 1
Escher's most mathematically interesting piece
The Print Gallery, and the tour of complex analysis it invites.
The most underappreciated formula
Exploring spheres in higher dimensions
The Hairy Ball Theorem
A few surprising applications of one of the most absurdly named theorems in topology, together with a beautiful proof for why it is true.
SoME4 Prizes
Winners of the supplementary "helpful for teachers" prize we set up for the 2025 Summer of Math Exposition
Recruiting, both for myself and for other companies (potentially yours)
I have two small requests, both of which I’ll elaborate on further down in this post.
How Laplace transforms solve differential equations
Studying the forced oscillator
But what is a Laplace Transform?
Visualizing the most important tool for differential equations.
Why complex exponents matter
Laplace Transform Prelude
Why Ruler and Compass?
The fifth and final guest video
Exploration & Epiphany
A guest video about Sol LeWitt's incomplete open cubes, and the group theory behind it.
Simulating Phase Change
Guest video by Vilas Winstein
The AI that solved IMO Geometry Problems
Guest video by Aleph0
But how do AI videos actually work?
Guest video by from Welch Labs
Summer of Math Exposition #4
Teachers, I'd love to hear from you
Where my explanation of Grover’s algorithm failed
Addressing some viewer questions from the most recent video
But what is Quantum Computing?
Building up to Grover's Algorithm
Revisiting those colliding blocks that compute π
Happy pi day!