In the 126 years since David Hilbert presented his famous 23 problems, mathematicians have made tremendous advancements. Sean McCabe for Simons Foundation; Portrait of David Hilbert by L. Reidemeister ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

ASK A UROLOGIST, and they’ll tell you that the prostate has two functions: one is to secrete fluids that come out with ejaculation. The other is to keep urologists in business. That’s a lot of work ...

The world appears to be facing a substantial population decline. But experts disagree on whether or not that could spell problems for future generations. David Bloom, Clarence James Gamble Professor ...

One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...

What are the most pressing global crises in 2026? Each year, the International Rescue Committee’s (IRC) Emergency Watchlist identifies the countries at greatest risk of new or worsening humanitarian ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

We look into the mental health crisis affecting American youth. By Sam Sifton I am the host of The Morning. The numbers are staggering. Nearly one in four 17-year-old boys in the United States has ...

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Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...