一个困扰了数学界四十余年的难题——Mizohata-Takeuchi conjecture（Mizohata-Takeuchi 猜想），最近被一位名叫 Hannah Cairo 的少女以一种意想不到的方式解决了。她的方法并非给出直接证明，而是构造出了一个巧妙的反例，从而表明这个长久以来被认为可能成立的猜想，实际上是错误的。这项工作源于她在高中时期旁听美国加州大学伯克利分校数学课程时的一份家庭作业。

Hannah Cairo has solved the so-called Mizohata-Takeuchi conjecture, a problem in harmonic analysis closely linked to other central results in the field. This fall, she will begin her doctoral studies ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

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Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a ...

If this conjecture turns out to be false, it would remain to be seen whether non-positive partial transpose implies Bell nonlocality. Full size image Here, we disprove the original Peres conjecture.

The bunkbed conjecture, for its part, would imply a widely believed assumption in physics about how likely a fluid is to travel through a solid. It would also hint at how to solve related problems ...