Audio Edition: After 20 Years, Math Couple Solves Major Group Theory Problem

Britta Späth has dedicated her career to proving a single, central conjecture. She’s finally succeeded, alongside her partner, Marc Cabanes.The story After 20 Years, Math Couple Solves Major Group Theory Problem first appeared on Quanta Magazine.

Colorful messages are constantly being exchanged across the natural world, to communicate everything from sexual attraction to self defense. But which came first: these evocative signals or the sophisticated vision needed to see them? In this episode, host Samir Patel speaks with contributing writer Molly Herring about free diving, mantis shrimp, and the challenges of tracking coloration through evolutionary history. This topic was covered in a recent story for Quanta Magazine.Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Where does gravity come from? In both general relativity and quantum mechanics, this question is a big problem. One controversial theory proposes that the force arises from the universe's tendency toward disorder, or entropy. In this episode, host Samir Patel speaks with contributing writer George Musser about the long-shot idea called "entropic gravity," which Musser covered in a recent story for Quanta Magazine.Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda provided by Cosmic Perspective.

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics.The story How Noether’s Theorem Revolutionized Physics first appeared on Quanta Magazine.

The Busy Beaver Challenge, an open online collaboration, started in 2022 to finally solve a major problem in theoretical computer science. Over time, the online community grew to include more than 20 contributors from around the world, most of them without traditional academic credentials. In July 2024, the group announced that they finally solved the puzzle, bringing a conclusion to over 40 years of effort.On this week’s episode of The Quanta Podcast, computer science staff writer Ben Brubaker explains the tantalizing Busy Beaver puzzle, which he covered in depth last year, in "With Fifth Busy Beaver, Researchers Approach Computation’s Limits."Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.This is the sixth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda provided by Mount Washington Observatory

Individual cells in the brain light up for specific ideas. These concept neurons, once known as “Jennifer Aniston cells,” help us think, imagine and remember episodes from our lives.The story Concept Cells Help Your Brain Abstract Information and Build Memories first appeared on Quanta Magazine.

Changes in the number, shape, efficiency and interconnectedness of organelles in the cells of flight muscles provide extra energy for birds’ continent-spanning feats.This is the fifth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go to the ends of space and time to find a fix.This is the fourth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Heat is supposed to ruin anything it touches. But physicists have shown that an idealized form of magnetism is heatproof.The story Heat Destroys All Order. Except for in This One Special Case first appeared on Quanta Magazine.