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Mathematicians Startled by 17-Year-Old With Uncanny Abilities

futurism.com Unknown 2025-12-02 03:05:20

A brilliant teen who honed her skills during the COVID-19 pandemic has solved one of math's most mysterious problems — and in doing so, become a rising star. As Quanta magazine reports, fledgling mathematician Hannah Cairo was just 17 when she disproved the Mizohata-Takeuchi conjecture, a decades-old proposition — in higher math, it's common for the suggestion that something is true based on observations to become a target for challenging formalized counter-proofs — dealing with waves on surfac

Topics: cairo conjecture math program quanta
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Hannah Cairo: 17-year-old teen refutes a math conjecture proposed 40 years ago

news.ycombinator.com Ágata A. Timón 2026-02-01 16:15:51

Hannah Cairo was stuck on a math problem. All she could think about during those weeks was a new approach. “After months of trying to prove the result, I managed to understand why it was so difficult. I realized that if I used that information correctly, I might be able to refute the claim. Finally, after several failed attempts, I found a way to construct a counterexample [a case that does not satisfy the studied property and therefore proves it is not universally true].” Ciaro says it required

Topics: cairo conjecture math problem says
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After 20 years, math couple solves major group theory problem

news.ycombinator.com Leila Sloman 2025-11-11 02:09:56

After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.

Topics: conjecture group groups mathematicians mckay
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After 20 Years, Math Couple Solves Major Group Theory Problem

news.ycombinator.com Leila Sloman 2025-11-11 14:09:56

After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.

Topics: conjecture group groups mathematicians mckay
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