Linking topology and geometry: Gauss-Bonnet theorem

Why is 4-color theorem easier on a torus?

You are probably wrong about Euler's formula (it's an inequality!)

How physics solves a math problem (and a 3D graphics problem)

The clever way curvature is described in math

Lie algebras visualized: why are they defined like that? Why Jacobi identity?

Matrix trace isn't just summing the diagonal | Lie groups, algebras, brackets #5

Can we exponentiate d/dx? Vector (fields)? What is exp? | Lie groups, algebras, brackets #4

What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3

How to rotate in higher dimensions? Complex dimensions? | Lie groups, algebras, brackets #2

Why study Lie theory? | Lie groups, algebras, brackets #1

How many terms do we need in the exp series?

Queuing theory and Poisson process

Theorema Egregium: why all maps are wrong

The biggest misconception about spin 1/2

I use PowerPoint to edit all* videos (and hit 100k subs!)

The deeper meaning of matrix transpose

How hard was my Cambridge interview? (ft. @TomRocksMaths)

Random walks in 2D and 3D are fundamentally different (Markov chains approach)

The weirdest paradox in statistics (and machine learning)

Why you can't solve quintic equations (Galois theory approach) #SoME2

The simplest reason why π/4 = 1 - 1/3 + 1/5 -...

The geometric interpretation of sin x = x - x³/3! + x⁵/5! -...

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6

What if we define 1/0 = ∞? | Möbius transformations visualized

What do complex functions look like? | Essence of complex analysis #4

The 5 ways to visualize complex functions | Essence of complex analysis #3

What are complex numbers? | Essence of complex analysis #2

Why care about complex analysis? | Essence of complex analysis #1

Green's functions: the genius way to solve DEs