2018 Fields Medal and Nevanlinna Prize

Latest Articles

Researchers Uncover Hidden Ingredients Behind AI Creativity

June 30, 2025

Image generators are designed to mimic their training data, so where does their apparent creativity come from? A recent study suggests that it’s an inevitable by-product of their architecture.

When Did Nature Burst Into Vivid Color?

June 27, 2025

Scientists reconstructed 500 million years of evolutionary history to reveal which came first: colorful signals or the color vision needed to see them.

How Does Graph Theory Shape Our World?

June 26, 2025

Maria Chudnovsky reflects on her journey in graph theory, her groundbreaking solution to the long-standing perfect graph problem, and the unexpected ways this abstract field intersects with everyday life.

A New Pyramid-Like Shape Always Lands the Same Side Up

June 25, 2025

A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture.

Matter vs. Force: Why There Are Exactly Two Types of Particles

Every elementary particle falls into one of two categories. Collectivist bosons account for the forces that move us while individualist fermions keep our atoms from collapsing.

Is Mathematics Mostly Chaos or Mostly Order?

June 20, 2025

Two new notions of infinity challenge a long-standing plan to define the mathematical universe.

Q&A

How AI Models Are Helping to Understand — and Control — the Brain

June 18, 2025

Martin Schrimpf is crafting bespoke AI models that can induce control over high-level brain activity.

The Ecosystem Dynamics That Can Make or Break an Invasion

June 16, 2025

By speedrunning ecosystems with microbes, researchers revealed intrinsic properties that may make a community susceptible to invasion.

Is Gravity Just Entropy Rising? Long-Shot Idea Gets Another Look.

June 13, 2025

A new argument explores how the growth of disorder could cause massive objects to move toward one another. Physicists are both interested and skeptical.

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