Heisuke Hironaka, a prominent figure in algebraic geometry, was renowned for his landmark 1964 proof of the “resolution of singularities”. His work provides a way to unravel complicated phenomena in ...

As the stewards of a body of work dating back thousands of years, mathematicians are rarely in a hurry. Problems can lie open for decades or even centuries before they are cracked, and individual ...

When Russian-born Belgian mathematician Yurii Nesterov reached retirement age in 2023, he found himself at the centre of a technological storm. The accelerated gradient algorithm he derived with pen ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. The prestigious Fields Medals, often called the Nobel Prize of mathematics, were awarded to ...

In the 1930s Werner Burau, a German mathematician, introduced a twisted geometrical mystery that would stand for nearly a century. Previously, mathematicians had shown that knots could be reformulated ...

To be in their company, all you have to do is re-create a foundational physics equation, or crack an unsolved problem about the twisting of knots before you graduate from college. These are some of ...

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In integrated math courses like the one taught at Chapman High School, students typically learn a blend of algebra and geometry concepts in the same class, rather than separately. Credit: Doug Barrett ...

A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

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