New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs.

The brain not only helps to regulate immune responses, but also stores and retrieves “memories” of them.

A new study of gene expression in sponges reveals the complex diversity of their cells as well as some possibly ancient connections between the nervous, immune and digestive systems.

Over the past decade, researchers have completely rewritten the story of how gas giants such as Jupiter and Saturn form. They’re now debating whether the same process might hold for Earth.

The computational biologist Anne Carpenter creates software that brings the power of machine learning to researchers seeking answers in mountains of cell images.

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits.

Years of conflicting neutrino measurements have led physicists to propose a “dark sector” of invisible particles — one that could simultaneously explain dark matter, the puzzling expansion of the universe, and other mysteries.

The transcendental number π is as familiar as it is ubiquitous, but how does Euler’s number e transcend the ordinary?

Watanabe invented a new way of distinguishing shapes on his way to solving the last open case of the Smale conjecture, a central question in topology about symmetries of the sphere.