Mathematics

The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.”

A simple scaling law brings order to the chaos of flowing water, rock, and sediment. New findings have extended the law even further.

AI’s greatest mathematical successes have come from answers to problems posed by a mid-20th century iconoclast. By examining what makes the Erdős problems unique, mathematicians are trying to understand how AI might change the rest of math.

Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.

Focus, commitment, and insight resulted in a “once in a century” proof. Hong Wang is now just the third woman to win a Fields Medal.

Determination and effort propelled Jacob Tsimerman to the top of the math world. But now that he’s won a Fields Medal, he worries that the field is in jeopardy.

John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a Fields Medal.

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his technique even more powerful.