On the way to a conference dinner in Bengaluru in 2014, Neena Gupta, then a postdoctoral student, was discussing a fundamental problem in algebraic geometry with a field expert, another student, and ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...

“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 ...

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 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

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Axiom Math is giving away a powerful new AI tool. But it remains to be seen if it speeds up research as much as the company hopes. Axiom Math, a startup based in Palo Alto, California, has released a ...

A Polish mathematician who once described artificial intelligence as “a very advanced calculator” has been left stunned after an AI model managed to solve a research-level mathematics problem he spent ...

GPT just keeps getting better at mathematics, increasingly solving the trickiest of problems. In January, AI testing company Epoch AI found that a previous version of the AI model, GPT-5.2 Pro had ...

In 2002, an unknown mathematician quietly posted a paper online that stunned the academic world. It solved a problem that had defeated the greatest minds for over a century. A $1 million prize and the ...

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 ...