Long-Sought Proof Tames Some of Math’s Unruliest Equations

Plus: How modern and antique technologies reveal a dynamic cosmos; Expansion microscopy transforms how we see the cellular world; The Quanta Podcast

Math and Science News from Quanta Magazine View this email in your browser PARTIAL DIFFERENTIAL EQUATIONS | ALL TOPICS   Long-Sought Proof Tames Some of Math's Unruliest Equations By PAULINA ROWIŃSKA Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. Read the article ASTRONOMY   How Modern and Antique Technologies Reveal a Dynamic Cosmos By LIZ KRUESI Today's observatories document every pulse and flash in the sky each night. To understand how the cosmos has changed over longer periods, scientists rely on a more tactile technology. Read the article   IMAGE GALLERY   Expansion Microscopy Has Transformed How We See the Cellular World By MOLLY HERRING Physically magnifying objects using a key moisture-absorbing ingredient in diapers has opened an unprecedented view of the microbial world. Read the article   THE QUANTA PODCAST   Do AI Models Agree On How They Encode Reality? Podcast hosted by SAMIR PATEL with BEN BRUBAKER On this week's episode, host Samir Patel speaks with staff writer Ben Brubaker about how different AI models can somehow develop similar internal representations.  Listen (Apple) | Listen (Spotify) Read the article Follow Quanta Unsubscribe | About Quanta | My Bookmarks Privacy Policy | Terms | Contact Us   Copyright © 2025 Quanta Magazine, an editorially independent division of the Simons Foundation Simons Foundation 160 5th Avenue, 7th Floor New York, NY 10010