Top Student at Their Peak

Qiao Yu didn't bother with all those deceptive matters. From a child's perspective, sincerity is always the ultimate weapon.

Not including Senior Brother Chen in the project team for the application was something Qiao Yu was quite certain about, believing that this application to the National Natural Science Foundation would definitely not pass.

Unless the review experts really had their brains flooded with water.

If today he could pass the review with a proof of the Riemann Conjecture, given the current capabilities of the Huaxia scientific community, tomorrow equations like N-S, NP-complete problems, the Hodge Conjecture, the Yang-Mills theory...

And all those high-and-mighty propositions would likely all appear on the National Natural Science Foundation's review panel's desk. Who wouldn't be annoyed?

So as long as the teacher responsible for reviewing his project still had some rationality, they'd probably toss aside his application after a quick look.

The only thing Qiao Yu didn't expect was that submitting a project application to the National Natural Science Foundation could also spark heated discussion in Huaxia's academic community.

One could only say that there are still many people in Huaxia's academic community with nothing better to do each day.

Had he known it was like this, he should have plunged into the pit of academia earlier.

If he had stood out two years earlier...But no, Qiao Yu reminisced and suddenly realized that even if he had started earlier, he might not have stood out.

Because when he had just started junior high, he found the content on Riemannian Geometry quite obscure and difficult to understand. But by third year, when he looked back at that content, he could suddenly understand it with ease.

This probably indicated that during first and second year, his brain was still at a developmental stage and wasn't capable of handling such profound knowledge at that time.

But now it's different, the brain definitely gets more flexible the more it's used.

...

After giving Senior Brother Chen a pep talk, Qiao Yu calmly assigned part of the verification task to Chen Zhuoyang.

The reason Qiao Yu felt his proof method was silly was because the proof process involved continuously analyzing and trial and error patiently.

For instance, the verification of the Modal Path and symmetry is to check whether all modal points are concentrated on the Modal Path Γ∗ to verify the symmetry of the zero points.

If it's found that all points are strictly distributed on the path Γ* and the symmetry conditions are satisfied, the conclusion of the Riemann Conjecture can be directly drawn.

Of course, if the verification results show local deviations, it may also reveal the situation where modal points cannot be concentrated, but it doesn't matter, because subsequently, methods like modal convolution and modal density can still be used to analyze from a global perspective.

In short, as long as the Riemann Conjecture is correct, there must be a way out of so many methods to validate the result.

After all, the laboratory can solve those nonlinear data issues, there's no logical reason that such a simple number theory problem can't be solved.

What he needs to do is to make accurate mappings between number theory and Modal Space. For instance, if the issue is finally resolved using modal density, then it's necessary to accurately establish the equivalent relationship between the modal density function ρM and the prime counting function π(x).

Though it seems quite cumbersome, Qiao Yu has already completed the first step, and what follows is just to see which method proves effective and then derive a few more theorems.

Mathematics problems are like this, without method they seem incredibly complex and lacking direction.

But as long as the right method is found, it feels so easy—this feeling of 'So easy' is precisely what mathematicians around the world strive for.

And just like that, time flew to mid-March, and the weather in Beijing also started to gradually warm up. Meanwhile, there was a reply from the National Natural Science Foundation regarding the project application.

As expected, it didn't pass.

This time it didn't even make it to the meeting discussion. It's the Riemann Conjecture, after all, everyone knows what kind of proposition it is.

However, this time, the review committee also gave Qiao Yu a kind suggestion, like when applying for National Natural Science Foundation projects, it's not necessary to present such a grand proposition all at once.

Why not narrow down the scope of the proposition first, such as research into new solutions for the Riemann Conjecture. This way it might get through. It felt somewhat like an implicit hint.

But Qiao Yu didn't take this application to heart either. Theoretically, he didn't need these funding projects to prove himself. At seventeen, it didn't really matter if he had any accolades.

After all, even if the funding was approved, using it was a hassle. It was better to collect more of the various prizes from the school.

Of course, new semester, new atmosphere, papers also had to be published. But this time, the paper was not sent to the Mathematical Yearbook of Princeton, but to JAMS.

It's also one of the four top mathematics journals in the world, the flagship journal under the American Mathematical Society. The journal covers both pure and applied mathematics.

The reason for choosing JAMS was that last year, when joining the American Mathematical Society, he had promised to write a paper for submission. For such simple matters, Qiao Yu always honored his words.

After all, if one were to go back on their word, it should be for major events, if even small matters couldn't be executed as promised, that would make one's integrity too questionable.

Nevertheless, there's an interesting bit of trivia. Though there are the words "American" and "Mathematical Society," its essence is actually an international mathematics organization.

After all, members of the American Mathematical Society actually come from all over the world. People from Europe, Asia, and other regions can apply.

Similarly, the activities funded by the American Mathematical Society also include known competitions and conferences such as IMO and ICM.

Qiao Yu is currently an international member of AMS. He can access AMS's mathematical literature database and purchase publications or attend conferences at lower prices.

The former enables direct access to the database, which is useful. As for buying journals and attending conferences, Qiao Yu feels like he hasn't spent money on them.