This repository contains a collection of programs designed to explore the fascinating Collatz conjecture, also known as the 3n + 1 problem. It builds upon and extends the work from an earlier, now ...
Artificial intelligence is increasingly being used as a collaborator in mathematical research rather than simply a computational tool. A young mathematician teamed up with a new AI model to tackle one ...
As millions of people were coming down from the excitement of the FIFA World Cup Final at the start of this week, a different kind of excitement was building within the mathematical community. Levent ...
A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...
An attempt to bring unequivocal clarity to one of the most controversial areas of mathematics has so far come to nothing. Mathematicians have been working on using a computer to check an apparent ...
On Sunday evening, as Spain and Argentina played out the World Cup final, the mathematician Levent Alpöge posted a short message on X. The Jacobian conjecture, he wrote, is false. He thanked a friend ...
An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...
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. Jacob Tsimerman knows that many people ...
The Jacobian conjecture is a long-standing open problem in algebraic geometry that's bedeviled highly accomplished mathematicians for almost 90 years. It was included in "Smale's problems," a list of ...
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