Discrete Mathematics
My most striking contribution to geometry is, no doubt, my problem on the number of distinct distances. This can be found in many of my papers on combinatorial and geometric problems. -Paul Erdős, On Some of My Favorite Theorems, 1996. Erdős is one of the greatest mathematicians from history, and
Riemann Hypothesis
Real math about a fictional object.
Abstract Algebra
Modern results on a problem from the 1800s.
Probability Theory
On proving that things exist without constructing them
Topology
A Brief History of Spread-out Spaces.
Number Theory
An ancient proof to give insight into an unsolved problem.
Bayesian Statistics
A single, basic example: fully explained.
Arithmetic
The strange debate and controversy in K-12 math education
Number Theory
On the number of rational solutions to polynomials.
Quantum Physics
How to understand a core idea from Quantum Mechanics.
Bayesian Statistics
A Bayesian argument for why humans will soon be extinct
Topology
Get $1 million if you solve this math problem.