Great Country Academician

Chapter 115 Dissertation review

In Princeton, when Xu Chuan and Professor Avila had breakfast and chatted about mathematics, he had previously proved the video of the Weyl-Berry conjecture, and returned to his homeland overnight across the ocean.

And once again set off a wave and heat on the Internet.

[Have you heard? Last year's top student in the college entrance examination made trouble again. 】

[Eating melon. 】

【Didn't he prove some Werbeili conjecture before? After three months, he made another world-class mathematical conjecture at Princeton University. 】

[Lying in a big trough? What the hell? Upstairs are you kidding me? Is there such a good proof for a world-class conjecture? 】

[It’s not as exaggerated as you think. In fact, the conjecture proved by such a big guy is a weakened form of the Weyl-Berry conjecture. This time he completed it and fully proved the Weyl-Berry conjecture. 】

【Hey, I was scared to death. I thought I had solved two world-class mathematical conjectures in half a year. 】

[If you want to say two, it can indeed be said to be two. The difficulty of the weak Weyl-Berry conjecture is also world-class, but it is just two under one system. 】

[It seems that it hasn’t been verified yet. It’s just that the proof process was written on the podium. If it hasn’t passed the review, there may be problems in the proof process. 】

[Ma Dan, why do you feel like you look down on me? Even under one system, this is very difficult, okay? 】

【despise? Think too much, this kind of god-man has already broken the void and is not at the same level as us, and we can only worship. 】

[By the way, this great god doesn't wear a scarf, and has never sent a message. Can anyone you know remind me, it's good to wear a scarf to pretend to be aggressive. 】

[Pretentious? It’s better for people to use Twitter, it’s full of (dog heads)]

Xu Chuan, who is a popular searcher on the domestic Internet, did not know that after chatting with Professor Artur Avila, he has been nesting in the hotel to write his thesis.

After spending more than two days, he finally completed the proof paper of the Weyl-Berry conjecture and handed it over to Professor Deligne.

"Xu, there are six reviewers for this proof paper on the Weyl-Berry conjecture. They are me, Professor Fellman, Professor Gowers from Cambridge University, and Artur Avi from Paris Diderot University. Professor La..."

After receiving Xu Chuan's paper, Professor Deligne revealed the personnel who reviewed the paper.

Hearing the list from Professor Deligne, Xu Chuan couldn't help it.

The six-member review team, four of whom are super experts who have won the Fields Medal, what the hell is this.

Professor Gowers and Professor Altu are quite normal in this review team.

The achievements of the former are mainly in the Banach space space, which is closely related to the Weyl-Berry conjecture, and is also the reviewer of the weakened form proof of the Weyl-Berry conjecture.

One of the major achievements of the latter was spectral theory, which is one of the cores of the Weyl-Berry conjecture.

But why are Professor Deligne and Professor Felman from Princeton getting involved?

One of these two bigwigs is a closed disciple of Pope G of Mathematics, and his main achievements have followed his teacher in algebraic geometry.

The other is known for revitalizing the research of classical analysis, and his main achievements are in the fields of real analysis, complex analysis, harmonic analysis, partial differential equations and so on.

Although partial differential equations can also be linked to the Weyl-Berry conjecture, the correlation is not very great.

So Xu Chuan really didn't understand why these two big bosses were also in the review team, especially the one in front of him.

Could it be because of his performance on stage a few days ago? Or is it because of this Princeton Mathematical Symposium?

But now that the review list has been decided, he has no choice but to hope that he can pass the review of these big bosses smoothly this time.

After the mathematics exchange meeting, mathematicians from all over the world basically dispersed.

The proof process of Weyl-Berry's conjecture is being verified and audited by the "luxury" audit team. In the first day or two, Xu Chuan still needs to run around to answer various questions from these bigwigs.

But from the fourth day onwards, he gradually became more relaxed.

Taking advantage of the time, Xu Chuan sneaked into Princeton's math class and listened to a few math classes.

It doesn’t seem very good to use the word “sneaky”. Princeton’s math classes are basically the same as public classes in China. They don’t mind outside students, even farmers and construction workers, and they are even quite welcome.

Of course, whether you can understand it is your own problem.

Compared with domestic mathematics courses, Princeton University's mathematics department courses are very flexible, and the teaching research focuses on originality.

If the students listening to the lecture can have their own unique views, they will be encouraged by the professor. If they can make academic discoveries and progress in their own way, they will be more recognized.

Not only that, but Princeton's mathematics department provides excellent opportunities for students with a mathematical background as well as novices with strong mathematical talents and interests.

At the university level, ordinary college students have the opportunity to collaborate with the world's best mathematicians in various fundamental areas of applied or theoretical mathematics.

It even includes participating in cooperation projects with other departments such as the Department of Physics and Economics.

This is the top actual combat, which can bring great inspiration and help to a mathematics student who loves mathematics.

As for the assessments and grades that the country pays attention to, here, it can be said that almost no one will pay too much attention and attention.

A student can get grades even if they don't usually attend class, and the professor may grade them whatever he wants, maybe all A's, maybe all C's, no one cares.

Even the most important general exam, such as the Department of Mathematics, among the five exam questions, the mathematics professor chooses three, and the choice of the remaining two is left to the students.

It is in this seemingly relaxed learning environment that the Department of Mathematics of Princeton University has cultivated countless outstanding mathematics talents, and students can also obtain a doctorate in the shortest time, and it is genuine.

Many people may think that this is irresponsible, but for mathematics, this is actually a screening process. Only those students who can really succeed can persist until the end, and many of the rest will give up halfway.

Even at Princeton, not every student in the mathematics department can become a mathematician or professor of mathematics.

In fact, less than one-tenth of the people who can delve into the depth of mathematics.

Time passed little by little like this. In Princeton, Xu Chuan spent most of his time in class, and a small part of his time rushed to the review team's office to communicate with them.

On the tenth day, when he received a call from Professor Deligne and rushed to the old man's office again, the good news came.

"Xu, congratulations, the review is approved. From today onwards, the Weyl-Berry conjecture will be promoted to a theorem, and there will be one less problem in the hall of mathematics. You can modify its name, such as Xu-Weyl-Berry theorem, or Weyl -Berry-Xu theorem."

"Of course, it can be other, but please bring the names of Weyl and Berry who made the conjecture."

"Also, here are the review comments, would you like to take a look?"

In the office, Professor Deligne with a head of thin white hair smiled and handed over a document.

Xu Chuan thanked him, and took a look at the review comments.

Professor Charles Fefferman: "This is an excellent proof. The prover's ideas on field expansion and field transfer are quite novel, which can bring new research ideas to mathematicians. I hope the prover can make a contribution here. It may become a new tool for studying fractal boundaries, number theory and field theory.”

Professor Gowers: "I can't believe it. I reviewed the weakened proof of the Weyl-Berry conjecture a few months ago. I didn't expect the complete proof of the Weyl-Berry conjecture to be presented in just three or four months. before my eyes, and it proved almost flawless."

Professor Artur Avila: "It's hard to believe that this is a thesis written by a college student who is only 18 years old. It is really excellent."

"Other professors:"

The six jury members, except for Professor Deligne in front of them, gave a very high evaluation to the Weyl-Berry conjecture proof paper.

After flipping through the review comments, Xu Chuan closed the manuscript with a bright smile on his face, which complemented the smile of Professor Deligne opposite.

"Xu, have you thought of which journal to submit this paper to?" In the office, Professor Deligne asked with a smile.

"Do you have any suggestions?" Xu Chuan asked.

"Of course, there are only a few top journals, and your paper is worthy of the top."

Professor Deligne nodded without hesitation, and continued: "If you haven't made up your mind yet, I suggest you submit to the Annals of Mathematics."

"After the exchange meeting, they have contacted me many times. Moreover, the latest issue of the journal that was supposed to be published this month has not yet been published. They are waiting for your paper."

"The paper could be published in Annals of Mathematics next month at the latest, if you like."

"Of course, you can choose your own ideas if you have a favorite journal, but I suggest you try to choose among the four top journals, and other journals"

Professor Deligne didn't finish his sentence, but Xu Chuan also knew what he meant.

In mathematics, there are many journals that can publish papers.

But to say that the most famous ones are the four top journals.

They are "Annual of Mathematics", "Journal of Mathematics", "New Advances in Mathematics" and "Journal of Mathematical Society"

These four journals are recognized by the mathematics community as the top mathematics journals, and are called the "Four Divine Journals".

In the heart of the old man, other journals except the four major journals are not worthy of the proof paper of the Weyl-Berry conjecture.

Coincidentally, Xu Chuan himself thought so too.

He nodded without hesitation when he heard that the "Annual Journal of Mathematics" had postponed the latest issue of the journal for his thesis, and it would be released after logging in next month.

"In this case, the paper on the proof of the Weyl-Berry conjecture is handed over to the Annals of Mathematics. I hope they will treat my paper well."

Professor Deligne smiled and said: "Of course, unless they don't ask me to review papers in the future."

There should be more in the afternoon and evening, today is another day of daily life, let’s get some monthly tickets and rewards, []~( ̄▽ ̄)~*

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