Chapter 114: Dissertation Review
At Princeton, while Xu Chuan and Professor Avila were having breakfast and chatting about mathematics, the video of him proving the Weyl-Berry conjecture returned to his home country overnight.
And once again set off a wave of enthusiasm and heat on the Internet.
[Did you hear that?] Last year's top student in the college entrance examination is doing things again. γ
γEat melons. γ
[Didn't he prove a certain Val Beili conjecture before? After three months, he has solved a world-class mathematical conjecture at Princeton University. γ
[Lying in a big groove? What the heck? You're kidding you upstairs, right? Is the world-class conjecture so well proven? γ
[It's not as exaggerated as you think, in fact, the conjecture proved before by such a big man is a weakened form of the Weyl-Berry conjecture, and this time he has completed it, fully proving the Weyl-Berry conjecture. γ
[Hey, I was scared to death, I thought I had solved two world-class mathematical conjectures in half a year. γ
[To say two, it can indeed be said that there are two, and the difficulty of the weak Weyl-Berry conjecture is also world-class, but it is just two under a set of systems. γ
[It doesn't seem to have been confirmed, but the proof process was just written out on the podium, and if it hasn't passed the review, there may be a problem with the proof process.] γ
[Madan, why do you feel like you look down on you? ] Even under a system, this is very difficult, okay? γ
[Look down? Thinking too much, this kind of god man has already broken the void and we are not at the same level, we can only worship. γ
[Anyway, this god doesn't take a scarf, and he has never sent a message, can you remind the elder you know, it's good to pretend to be forced to scarf.] γ
[Pretending to be forced? It's better for people to use Twitter, it's all over (dog heads)]
.......
Xu Chuan, the hot search on the domestic Internet, didn't know that after chatting with Professor Artur Γvila, he had been nesting in the hotel to write his own paper.
It took him more than two days to finalize the proof of the Weyl-Berry conjecture and hand it over to Professor Deligne.
"Xu, there are a total of six reviewers for the proof paper of the Weyl-Berry conjecture, namely me, Professor Fellman, Professor Gowers of Cambridge University, Professor Artur Avila of Paris Diderot University, ......."
After receiving Xu Chuan's paper, Professor Deligne revealed who would review the paper this time.
Hearing the list in Professor Deligne's mouth, Xu Chuan couldn't help but gasp a little bit.
The review team of six people, four of whom are super bulls who have won Fields Medals, is simply terrifying.
Professor Gowers and Professor Altu were fairly normal in this review team.
The former's achievements are mainly in the Banach space, which is closely related to the Weyl-Berry conjecture, and is also the reviewer of the weakened formal proof of the Weyl-Berry conjecture.
One of the main achievements of the latter was spectral theory, which is one of the core of the Weyl-Berry conjecture.
But why did Professor Deligne and Professor Fellman of Princeton get involved?
One of these two elders was a close disciple of the Math Pope G, and his main achievements followed his teacher in algebraic geometry.
The other is known for reinvigorating the study of classical analysis, and his main achievements are in the fields of real analysis, complex analysis, harmonic analysis, and partial differential equations.
Although partial differential equations can also be linked to the Weyl-Berry conjecture, the correlation is not very large.
So Xu Chuan really didn't understand why these two elders were also in the middle of the review team, especially the one in front of him.
Could it be because of the performance on stage the other day? Or is it because of the Princeton Math Symposium?
However, since the audit list has been decided, he has no choice, he just hopes that he can successfully pass the review of these elders this time.
......
After the math exchange meeting, mathematicians from all over the world were almost scattered.
The proof process of Weyl-Berry's conjecture is being verified by the 'luxury' review team, and Xu Chuan still needs to run around for the first day or two to answer various questions from these elders.
But from the fourth day onwards, he gradually became more and more relaxed.
Taking advantage of the time, Xu Chuan sneaked into the math class at Princeton and listened to a few math lessons.
The math classes at Princeton are basically the same as the public classes in China, and they don't mind the unexpected students, even farmers, and construction workers who come in to listen to the lectures, and are even quite welcome.
Of course, whether you understand it or not is your own problem.
Compared with mathematics courses in China, Princeton University's mathematics department has a very flexible curriculum and focuses on originality in teaching and research.
If the students can have their own unique opinions, they will be encouraged by the professor, and 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 also provides quality opportunities for students with a mathematical background as well as novices with strong mathematical talents and interests.
At the university level, the average university student has the opportunity to collaborate with the world's best mathematicians in all fundamental areas of applied or theoretical mathematics.
It even includes participating in collaborative projects with other departments such as the Department of Physics and the Department of Economics.
This is the most advanced practical experience, which can bring great inspiration and help to a mathematics student who loves mathematics.
As for the assessment and results that China pays attention to, it can be said that few people will pay too much attention and attention here.
If a student can get grades even if he doesn't usually attend classes, the professor may give grades as he wants, maybe all A's, maybe all C's, and no one cares about that.
Even in the most important general exams, such as the mathematics department, the mathematics professor chooses three of the five questions, and the remaining two are left to the student.
It is in this seemingly relaxed learning environment that the Department of Mathematics at Princeton University has cultivated countless outstanding mathematical talents, and students can also obtain a doctorate in the shortest possible practice, and it is a real thing.
Many people may think that this is irresponsible, but for mathematics, it is actually a selection process, and the students who can really succeed can persevere until the end, and the rest, many of them give up halfway.
Even in Princeton, not every math student becomes a mathematician or a professor of mathematics.
In fact, less than 1 in 10 people can delve deeply into mathematics.
.......
Time passed little by little, and in Princeton, Xu Chuan spent most of his time going to class, and a small part of the time rushing to the office of the audit team to communicate with them.
It wasn't until the tenth day, when he received a call from Professor Deligne and rushed to the old man's office again, that the good news came.
"Xu, congratulations, the review has passed, from today, the Weyl-Berry conjecture will be promoted to a theorem, and the problem in the Hall of Mathematics will be reduced by one, and you can modify its name, such as the xu-weyl-berry theorem, or the weyl-berry-xu theorem."
"Of course, it could be something else, but please bring the names of Weyl and Berry."
"Also, here are the reviewers' comments, do you want to take a look?"
In the office, Professor Deligne, with his sparse gray hair, smiled and handed over a document.
Xu Chuan thanked him and took the reviewer's comments and looked at them.
Professor Challis Feverman: "This is a very good proof, the provers' ideas on field expansion and domain transformation are quite novel, which can bring new research ideas to mathematicians, and I hope that the provers can sort this out well, and it may become a new tool for studying fractal boundaries and number theory and domain theory." β
Professor Gowers: "I can't believe that I reviewed the weakened form proof of the Weyl-Berry conjecture just a few months ago, and I didn't expect that after only three or four months, the complete proof of the Weyl-Berry conjecture was presented to me, and the proof process was almost flawless. β
Professor Artur Avila: "It's hard to believe that this is a paper written by an eighteen-year-old student, and it is so good. β
"Other Professors: ......."
The six juries, with the exception of Professor Deligne, gave a very high evaluation to the Weyl-Berry conjecture proof paper.
After reading the reviewers' 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 send this paper to?" In his 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 deserves to be the top."
Professor Deligne nodded without hesitation, and continued, "If you haven't thought about it yet, I suggest you vote for the Annals of Mathematics." β
"They have contacted me many times after the meeting, and the latest issue of the journal that was supposed to be published this month has not been published yet, and is waiting for your paper."
"If you will, the paper will be published in the Annals of Mathematics by next month at the latest."
"Of course, you can also choose your own ideas if you have a journal of your choice, but I recommend that you try to choose among the top four journals and ...... other journals."
Professor Deligne didn't finish his words, but Xu Chuan knew what he meant.
In the field of mathematics, there are many journals that can publish papers.
But if you want to say that the most famous, there are four top journals.
They are Annals of Mathematics and Acta Mathematica Sinica
Acta Malaysia, Ihematicae, and Journal of the Ameri Mathematical Society
These four journals are recognized as the top mathematics journals in the mathematics community and are known as the 'Four Divine Journals'.
And in the old man's mind, other journals other than the four major divine journals were not worthy of the proof paper of the Weyl-Berry conjecture.
It just so happened that Xu Chuan himself thought so.
After hearing that the latest issue of the Annals of Mathematics had been postponed for his paper, and that it would be published next month, he nodded without hesitation.
"In that case, then this paper proving the Weyl-Berry conjecture will be handed over to the Annals of Mathematics, and 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." β
.....γ