Year in Review

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The Biggest Breakthroughs in Mathematics: 2025

2025 marked a historic year in mathematics. Researchers solved a major case of Hilbert’s ambitious sixth problem, proved a sweeping new theorem about hyperbolic surfaces, and settled the longstanding three-dimensional Kakeya conjecture.


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One Step Closer to a ‘Grand Unified Theory of Math’: Geometric Langlands

February 20, 2025

After 30 years of effort, mathematicians finally proved a major component of the ambitious Langlands program.

Why Some People Don’t ‘See’ Mental Imagery: Aphantasia

January 31, 2025

Neuroscience research into people with aphantasia is now revealing how imagination works and demonstrating the sweeping variety in our subjective experiences.

2024 Biggest Breakthroughs in Computer Science

December 19, 2024

The year’s biggest computer science stories included a new understanding of large language models, and a breakthrough in being able to compute complex quantum systems.

2024 Biggest Breakthroughs in Biology

December 19, 2024

We look back at three of the biggest biology stories of 2024: a reconstruction of the ancient ancestor of all modern life, the discovery of a neural circuit that regulates the immune system, and artificial intelligence’s transformation of protein science.

2024 Biggest Breakthroughs in Physics

December 17, 2024

A look back at three of the biggest stories in physics this year, including evidence that dark energy may be weakening, the discovery of a supersolid, and new advances in quantum geometry.

2024 Biggest Breakthroughs in Math

December 16, 2024

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of the so-called geometric Langlands conjecture.

How AI Cracked the Protein Folding Code and Won a Nobel Prize

October 23, 2024

This is the inside story of how David Baker (pictured here), Demis Hassabis and John Jumper won the 2024 Nobel Prize in Chemistry for advances in computer-assisted protein design and structure prediction.

Space-Time: The Biggest Problem in Physics

September 25, 2024

What is the deepest level of reality? In this Quanta explainer, Vijay Balasubramanian, a physicist at the University of Pennsylvania, takes us on a journey through space-time to investigate what it’s made of, why it’s failing us, and where physics can go next.

Searching for Dark Matter with a Tabletop ‘Quantum Compass’

May 31, 2024

The physicist Alex Sushkov has developed one of the most targeted magnetic resonance experiments to date with the aim of detecting a hypothetical dark matter particle called the axion.