The COVID-19 pandemic showed in real time, and with the highest of stakes, how hard it can be to decide if something is true. Was the virus transmitted via surfaces or airborne particles? Which drugs ...

Dr. Kashiwara’s highly abstract work combined algebra, geometry and differential equations ... as a “masterpiece of a theorem,” with 14 steps of induction, using inference to recursively ...

Take Fermat’s Last Theorem, for example: short and sweet enough to scribble in a margin, but a proof took more than ... They’re a mainstay of fractal geometry, and with a shape as weird ...

The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura–Taniyama conjecture ... newly incorporated are Ribet's theorem of full image of modular p-adic ...

The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory.

Crows can recognize geometric patterns, suggesting that humans aren't unique in understanding shape structure.

Discover how the Pythagorean Theorem can solve all your right triangle problems! Learn how to use it easily with clear ...

Crows in a lab were able to distinguish shapes that exhibited right angles, parallel lines, and symmetry, suggesting that, ...

In a testament to the crows’ intelligence (or perhaps just the deliciousness of mealworms), the birds all caught on impressively quickly. But for the test proper, the task would become a little more ...

The SAVE Act was passed the U.S. House of Representatives on Thursday. Which documents are accepted as proof of U.S. citizenship? The Safeguard American Voter Eligibility (SAVE) Act, sponsored by Rep.