Chapter 414 Congratulations on Graduation

The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.

As usual, his students are here.

When they saw Lu Zhou appearing at the door of the office, everyone's faces showed surprise expressions in unison.

Vera was the first to speak.

The little girl opened her mouth slightly, and said in a surprised tone: "Professor, is your retreat over?"

"That's right..." Glancing at Vera, then at Hardy next to him, seeing the shock on the faces of the students, Lu Zhou couldn't help asking, "Why are you looking at me like that? "

Jericho, who was sitting not far from Hardy, whispered, "Because you usually come out of the house, you probably succeeded..."

Wei Wen looked serious: "That is to say, the millennium problem of the NS equation...have you solved it?"

"No, but some phased results have been achieved." After a pause, Lu Zhou continued, "But what I'm here today is not about this, but about our Kakutani conjecture."

Qin Yue, who had been silent all this time, asked, "Has the Annals of Mathematics replied?"

"Yes, your thesis was done very well. The reviewer for you, Professor Peter Sarneck, spoke highly of you," Lu Zhou nodded with a smile, "Your thesis will be published soon. Published in the latest edition of the Annals of Mathematics."

When they heard that the reviewer was Peter Sarnak, Vera and the others showed surprised expressions on their faces.

In contemporary mathematics, Professor Sarnak can be said to be one of the leaders of modern number theory. After staying in Princeton for so long, it is obviously impossible for them not to have heard of this big cow's name.

Not only that, this big cow is also the editor of "Mathematics Annals". He was one of the six reviewers of Lu Zhou's paper on "Proof of the Goldbach-Lu Theorem", and his name was in it.

After a pause, Lu Zhou continued.

"As I said before, the proof of Kadotani's conjecture is your graduation thesis. Although I only expected you to make a small improvement on the basis of previous research, I didn't expect you to complete the whole conjecture. Prove it out. I have to say, your performance really surprised me.”

Qin Yue smiled embarrassedly: "It's mainly thanks to the mathematical tools you provided, it's impossible to do it with our strength alone."

Lu Zhou shook his head: "Whether the tool is good or not, it needs a smart person to use it. You are very talented, so don't belittle yourself. I also wish you can continue on the road of number theory in the future. further advances in the promising field of sexual number theory."

After a pause, he straightened his expression and continued.

"From today, you graduate!"

clap clap clap -

There was applause in the office, and it was Jericho and Wei Wen who applauded.

Especially Wei Wen, looking at Qin Yue with envy.

Being able to publish a paper in a top journal like "Annual of Mathematics", and it is also a paper on the proof of a major mathematical proposition such as "Kuotani Conjecture"...

It is no exaggeration to say that as soon as the paper is published, his name will definitely appear on the list of the Thousand Talents Program.

No matter whether Qin Yue intends to continue his studies or return to China to teach or engage in academic research, domestic colleges and universities will offer prices that most people cannot refuse.

After pausing for a moment, looking at his three students, Lu Zhou continued, "I want to hear about your future plans."

Whether his students are planning to continue their studies, or to go to a graduate school or university, he will provide them with help within his ability.

For example, writing a letter of recommendation or something.

In academia, a recommendation letter signed by a well-known scholar can often play a vital role in the interview. Even if the interviewer's first impression of the interviewer is not good, he will seriously consider the referee's opinion...

Hardy smiled shyly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."

Lu Zhou said kindly, "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."

Although Hardy is a little skinny, his ability is still good.

Those who can apply for a master's degree in the Department of Mathematics of Princeton are basically talented people in their respective research fields, and the so-called gap in strength is nothing more than the difference between strong and stronger.

Apart from Hardy, Vera had told Lu Zhou about her plan years ago, and even handed over the application form to him. Needless to say, Qin Yue also planned to continue his studies in Princeton.

Without exception, the three students chose to go to higher education. After the relevant procedures are completed, Lu Zhou's research team in Princeton will become a postdoctoral fellow in the direction of computing materials, as well as three Ph.D. and two master's degrees.

As for whether to recruit more students...

Then it depends on the quality of this batch of freshmen, whether there are enough talents to arouse his interest.

After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.

Regarding the research results of more than a month, he has a lot of things to communicate with this partner...

...

A conference room with a blackboard in the Institute for Advanced Study.

After reading Lu Zhou's manuscript, Professor Fefferman rubbed his index finger against the stubble on his chin, thinking about it.

"Differential manifolds... seem interesting."

Compared with the method of abstract proof, it is undoubtedly a novel idea to use differential manifolds to study NS equations. It seems feasible to introduce the method of topology into partial differential equations.

But Professor Fefferman has not done research in this area, so he can't immediately give Lu Zhou a positive or negative answer.

After reading the paper on the manuscript paper from beginning to end, Professor Fefferman looked up at Lu Zhou: "How did you think of it?"

Lu Zhou: "I was inspired while running beside Carnegie Lake."

Professor Fefferman glanced at Lu Zhou in surprise: "That's really surprising... It seems that I will have to go there more in the future."

Lu Zhou didn't answer, but asked straight to the point: "What do you think about this method?"

"I don't know. I admit that the idea you provided is very interesting, but I still prefer the method of abstract proof." Professor Fefferman sighed, picked up the chalk and continued to write on the blackboard, "It's been more than a month Come on, I try to improve the bilinear operator B' we constructed earlier, and this construction quantity is already very close to the Euler linear operator B in μ(t).

[μ(t)=e^(t△)·μ0+∫e^(t-t')△B(μ(t'), μ(t'))dt']

【…】

The calculation process is very similar to that of more than a month ago, and the entire calculation framework is still the same.

The only difference is only in the construction of the B' bilinear operator that satisfies the elimination property =0. Professor Fefferman used a very ingenious method, the newly constructed B' is already very close to the original operator B.

However……

Always feel like something is missing.

Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a sense of unnatural disobedience from those calculations...

After staring at the blackboard for a long time, Lu Zhou suddenly said.

"I seem to know what's wrong..."