# Archive

## Latest Articles

### Vacuum of Space to Decay Sooner Than Expected (but Still Not Soon)

One of the quantum fields that fills the universe is special because its default value seems poised to eventually change, changing everything.

### Monumental Proof Settles Geometric Langlands Conjecture

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program.

### What Are Sheaves?

These metaphorical gardens have become central objects in modern mathematics.

### Will AI Ever Have Common Sense?

Common sense has been viewed as one of the hardest challenges in AI. That said, ChatGPT4 has acquired what some believe is an impressive sense of humanity. How is this possible? Listen to this week’s “The Joy of Why” with co-host Steven Strogatz.

### Tight-Knit Microbes Live Together to Make a Vital Nutrient

At sea, biologists discovered microbial partners that together produce nitrogen, a nutrient essential for life. The pair are in the process of merging into a single organism.

### ‘Sensational’ Proof Delivers New Insights Into Prime Numbers

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.

### What Could Explain the Gallium Anomaly?

Physicists have ruled out a mundane explanation for the strange findings of an old Soviet experiment, leaving open the possibility that the results point to a new fundamental particle.

### How America’s Fastest Swimmers Use Math to Win Gold

Number theorist Ken Ono is teaching Olympians to swim more efficiently.

### What Is Machine Learning?

Neural networks and other forms of machine learning ultimately learn by trial and error, one improvement at a time.