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What is a mathematical proof? What we tend to think of as an eternal, immutable truth, is perhaps better understood as a social construct, number theorist Andrew Granville explains. Jordana Cepelewicz reports: quantamagazine.org/why-mathematic…

Modular forms are some of math's most beautiful and mysterious functions. When graphed, they're mesmerizing: an infinite cascade of flower petals, depicted in all the colors of the rainbow. But what exactly are they? I attempt to explain: quantamagazine.org/behold-modular…

We’re used to one idea of a computer, but machines that perform computations can exist in a wide variety of practical or impractical arrangements. Mathematicians recently proved that any computation can be solved with origami. Jordana Cepelewicz reports: quantamagazine.org/how-to-build-a…

Michel Talagrand has been awarded the Abel Prize, one of the highest honors in mathematics, for applying tools from high-dimensional geometry to complex probability problems. Jordana Cepelewicz reports: quantamagazine.org/michel-talagra…

Mathematicians have the tools to explore worlds of 2, 3 and 5+ dimensions. But the fourth dimension remains mysterious and elusive. Topologists are trying to change that, one problem at a time. Jordana Cepelewicz reports: quantamagazine.org/mathematicians…

After spending two years trying to prove a longstanding conjecture about how curvature defines shape, three researchers came to believe it was false, and created a seven-dimensional counterexample. Jordana Cepelewicz reports: quantamagazine.org/strangely-curv…

As with any creative endeavor, the world of mathematics can be a lonely one -- full of disappointment, rejection and uncertainty. I spoke with mathematician Danny Calegari about these experiences, and why they're important. My latest for Quanta Magazine: quantamagazine.org/how-failure-ha…

150 years ago, the formal definition of irrational numbers marked what was arguably the beginning of modern mathematics. Jordana Cepelewicz reports: quantamagazine.org/how-the-square…

Three and a half years ago, artificial intelligence transformed the study of proteins. Prominent scientists in the field were left wondering: “What now?” It’s finally possible to start answering that question. Yasemin Saplakoglu reports in a new extended feature:quantamagazine.org/how-ai-revolut…

American swimmers keep setting new records on their way to the Paris Olympics, in part because they’re using math to analyze and improve their technique. Ken Ono, a technical consultant to the U.S. Olympic women’s swim team and math professor at UVA, spoke with Jordana Cepelewicz:

The Riemann hypothesis is the most important unsolved problem in math. But mathematicians have no idea how to prove it. In a breakthrough proof, James Maynard and Larry Guth found a way to limit exceptions to it, giving them important results about prime numbers. Jordana Cepelewicz

We’ve spent months putting together an immersive special issue of Quanta Magazine that explores the ultimate scientific quest: the search for the fundamental nature of reality. Don’t miss it! quantamagazine.org/the-unraveling…

The mathematics of 20th-century prodigy Ramanujan was mysterious, otherworldly. I wrote about his life and work for Quanta Magazine, and about the mathematicians who have continued to find new meaning in his formulas more than 100 years after his death: quantamagazine.org/srinivasa-rama…