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A New Proof Smooths Out the Math of Melting

March 31, 2025

A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain “nightmare scenarios.” A new proof has removed that obstacle.

Three Hundred Years Later, a Tool from Isaac Newton Gets an Update

March 24, 2025

A simple, widely used mathematical technique can finally be applied to boundlessly complex problems.

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture

March 14, 2025

The deceptively simple Kakeya conjecture has bedeviled mathematicians for 50 years. A new proof of the conjecture in three dimensions illuminates a whole crop of related problems.

New Conversations, Deep Questions, Bold Ideas in Season Four of ‘The Joy of Why’

March 13, 2025

Steven Strogatz and Janna Levin return for a new season on major scientific and mathematical questions of our time, with 12 all-new episodes and a new format.

Years After the Early Death of a Math Genius, Her Ideas Gain New Life

March 3, 2025

A new proof extends the work of the late Maryam Mirzakhani, cementing her legacy as a pioneer of alien mathematical realms.

After 20 Years, Math Couple Solves Major Group Theory Problem

February 19, 2025

Britta Späth has dedicated her career to proving a single, central conjecture. She’s finally succeeded, alongside her partner, Marc Cabanes.

The Largest Sofa You Can Move Around a Corner

February 14, 2025

A new proof reveals the answer to the decades-old “moving sofa” problem. It highlights how even the simplest optimization problems can have counterintuitive answers.

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How Noether’s Theorem Revolutionized Physics

February 7, 2025

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics.

New Proofs Probe the Limits of Mathematical Truth

February 3, 2025

By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability.