A Counterexample to the Mizohata-Takeuchi Conjecture · HackerPapers discussions

A Counterexample to the Mizohata-Takeuchi Conjecture — mentioned by bradly

Sun, 03 Aug 2025 12:55:12 GMT

Sorry if this is a silly question, but I came across a "white lie" in a paper(https://arxiv.org/html/2502.06137v2#S3.SS2) yesterday: > Throughout this section, we use A≈B to mean that A and B are essentially equal, in the sense that B is a suitable approximation of A in some sense that we will formalize in a later section. The reader may feel free to assume A=B when verifying estimates, even though A=B is generally false. Is that when this would be needed?

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A Counterexample to the Mizohata-Takeuchi Conjecture — mentioned by thrance

Sat, 02 Aug 2025 12:55:56 GMT

Heh, take a look at her paper [0]. It is much more complex that TFA makes it out to be: once you have the intuition you need to prove it actually disproves the theorem. Also, it's probably a not very well known conjecture that people wouldn't care too much about. Also also, it was a conjecture: people were probably looking to prove it rather that disprove it, failing and then giving up. [0] https://arxiv.org/abs/2502.06137

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A Counterexample to the Mizohata-Takeuchi Conjecture — mentioned by MathMonkeyMan

Fri, 01 Aug 2025 18:45:21 GMT

Here's a link to the paper on the arxiv: https://arxiv.org/abs/2502.06137

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A Counterexample to the Mizohata-Takeuchi Conjecture — mentioned by nextos

Sun, 06 Jul 2025 17:37:01 GMT

A PhD in the US requires a lot of coursework, aside from research. Perhaps, she is interested in that. Otherwise, some universities, especially in EU, offer PhDs by publication. She could simply wrap up her counter-example publication (https://arxiv.org/pdf/2502.06137) as a thesis and possibly graduate. Sometimes, you can even do this without a supervisor.

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A Counterexample to the Mizohata-Takeuchi Conjecture — mentioned by scythe

Sun, 06 Jul 2025 16:22:50 GMT

Paper here: https://arxiv.org/abs/2502.06137 I had the opportunity to take a harmonic analysis course in grad school. I passed it up. It was only tangentially related to my research at the time.

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