## Latest Articles

### A Century Later, New Math Smooths Out General Relativity

Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.

### The Mathematician Who Sculpted the Shape of Space

Eugenio Calabi, who died on September 25, conceived of novel geometric objects that later became fundamental to string theory.

### The Physical Process That Powers a New Type of Generative AI

Some modern image generators rely on the principles of diffusion to create images. Alternatives based on the process behind the distribution of charged particles may yield even better results.

### Math Proof Draws New Boundaries Around Black Hole Formation

For a half century, mathematicians have tried to define the exact circumstances under which a black hole is destined to exist. A new proof shows how a cube can help answer the question.

### Sparse Networks Come to the Aid of Big Physics

A novel type of neural network is helping physicists with the daunting challenge of data analysis.

### An Explorer of Abyssal Depths Looks to Oceans on Other Worlds

The marine geochemist Chris German brings decades of experience studying seafloor hydrothermal vents to NASA’s preparations for visits to other ocean worlds in our solar system.

### Some Neural Networks Learn Language Like Humans

Researchers uncover striking parallels in the ways that humans and machine learning models acquire language skills.

### Researchers Discover a More Flexible Approach to Machine Learning

“Liquid” neural nets, based on a worm’s nervous system, can transform their underlying algorithms on the fly, giving them unprecedented speed and adaptability.

### Mathematicians Find an Infinity of Possible Black Hole Shapes

In three-dimensional space, the surface of a black hole must be a sphere. But a new result shows that in higher dimensions, an infinite number of configurations are possible.