What's up in

mathematics

Illustration showing a human figure sitting on a large straw, gazing at different topological figures.
Quantized Columns

Topology 101: The Hole Truth

January 26, 2021

The relationships among the properties of flexible shapes have fascinated mathematicians for centuries.

Photo of Darden sitting on her couch and smiling
Q&A

The NASA Engineer Who’s a Mathematician at Heart

January 19, 2021

Christine Darden worked at NASA for 40 years, helping make supersonic planes quieter and forging a path for women to follow in her footsteps.

Illustration of mathematicians descending through a cavern whose walls are lined with polynomials.
polynomials

Mathematicians Resurrect Hilbert’s 13th Problem

January 14, 2021

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections.

Quantized Academy

The Crooked Geometry of Round Trips

January 13, 2021

Imagine if we lived on a cube-shaped Earth. How would you find the shortest path around the world?

An animation showing chaotic swirls of purple coalesce into a single line
Abstractions blog

New Quantum Algorithms Finally Crack Nonlinear Equations

January 5, 2021

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

number theory

How I Learned to Love and Fear the Riemann Hypothesis

January 4, 2021

A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.

2020 in Review

Our Favorite Comments of the Year

December 23, 2020

Online comment platforms can bring out the best — and the worst — in people. At the end of a tumultuous year, Quanta’s editors highlight some of our favorite things you had to say.

2020 in Review

The Year in Math and Computer Science

December 23, 2020

Even as mathematicians and computer scientists proved big results in computational complexity, number theory and geometry, computers proved themselves increasingly indispensable in mathematics.

Black and white photo of Claude Shannon in front of a computer
Quantized Columns

How Claude Shannon Invented the Future

December 22, 2020

Today’s information age is only possible thanks to the groundbreaking work of a lone genius.