Jordana Cepelewicz

Every four years, the math world’s preeminent awards are given to the finest minds of a generation. The young winners — all under 40 on the first day of the year — have reshaped mathematics and theoretical computer science. Here are their stories.

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.

An exploration of how mathematicians are still renovating and rebuilding the core pillars of their field today.

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

Explore a shape that can’t pass through itself, a teenage prodigy, and two new kinds of infinity.

Climate science is the most significant scientific collaboration in history. This series from Quanta Magazine guides you through basic climate science — from quantum effects to ancient hothouses, from the math of tipping points to the audacity of climate models.

An exploration of how artificial intelligence is changing what it means to do science and math, and what it means to be a scientist.

Mathematicians have started to prepare for a profound shift in what it means to do math.

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future.