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# mathematical physics

## Latest Articles

### Isadore Singer Transcended Mathematical Boundaries

A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse fields.

### A Mathematician’s Unanticipated Journey Through the Physical World

Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

### Scientists Uncover the Universal Geometry of Geology

An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.

### What Is a Particle?

It has been thought of as many things: a pointlike object, an excitation of a field, a speck of pure math that has cut into reality. But never has physicists’ conception of a particle changed more than it is changing now.

### How Mathematical ‘Hocus-Pocus’ Saved Particle Physics

Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.

### The Mathematical Structure of Particle Collisions Comes Into View

Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world.

### New Math Proves That a Special Kind of Space-Time Is Unstable

Einstein’s equations describe three canonical configurations of space-time. Now one of these three — important in the study of quantum gravity — has been shown to be inherently unstable.

### Remembering the Unstoppable Freeman Dyson

Freeman Dyson — physicist, mathematician, writer and idea factory — died on February 28, but his vitality lives on.

### The Map of Mathematics

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.