Kevin Hartnett

Senior Writer

Animated illustration of a black hole in a cube of jelly
mathematical physics

To Test Einstein’s Equations, Poke a Black Hole

Two teams of researchers have made significant progress toward proving the black hole stability conjecture, a critical mathematical test of Einstein’s theory of general relativity.

520px photo of army ants forming a bridge
Abstractions blog

The Simple Algorithm That Ants Use to Build Bridges

Even with no one in charge, army ants work collectively to build bridges out of their bodies. New research reveals the simple rules that lead to such complex group behavior.

520px photo of smarticles
Computer Science

Smart Swarms Seek New Ways to Cooperate

New algorithms show how swarms of very simple robots can be made to work together as a group.

Photo of smoke
Abstractions blog

What Makes the Hardest Equations in Physics So Difficult?

The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.

520px photo of Richard Schwartz

In Praise of Simple Problems

The mathematician Richard Schwartz finds the hidden depth lurking in simple mathematical puzzles.

Simulation of Kelvin-Helmholz Instability
fluid dynamics

Mathematicians Find Wrinkle in Famed Fluid Equations

Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.

Jennifer Balakrishnan and Sachi Hashimoto, plotted using SageMath
Abstractions blog

Mathematicians Crack the Cursed Curve

A famously difficult mathematical problem resisted solution for over 40 years. Mathematicians have finally resolved it by following an intuition that links number theory to physics.

Minhyong Kim in front of a whiteboard
number theory

Secret Link Uncovered Between Pure Math and Physics

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.

A blue person made of code walks down a pink road patterned with hexagons

Best-Ever Algorithm Found for Huge Streams of Data

To efficiently analyze a firehose of data, scientists first have to break big numbers into bits.