The top student must be diligent.

Chapter 211 Close at hand
Due to time constraints, the communication time with a single student will not be too long.

After discussing the doctoral-level question with Chen Muhua, he ended the discussion.

"Okay, let's stop here for this exchange."

Hearing Xiao Yi say this, Chen Muhua also breathed a sigh of relief and said, "Okay, thank you for your hard work, Professor Xiao."

Xiao Yi smiled lightly and said jokingly: "The interview is over, there is no need to mention the position anymore."

Chen Muhua was stunned for a moment, then he also laughed: "Okay, Brother Xiao, you must help me."

Xiao Yi shrugged: "That depends on whether your advantages over all other interviewees are obvious enough."

"Brother, I'll treat you to a meal when you come to HKUST."

"Oh? Considering that you're trying to bribe me again, your impression points are minus ten again."

"Brother! I was wrong!"

……

Chen Muhua's interview is over.

After exiting the online conference room, Chen Muhua took off his headphones, looked at his roommates in the dormitory, and said, "Brothers, what do you think? Do you think I have a chance? I think the chances are pretty good."

However, Lupin and the others just snorted and gave this guy the middle finger.

Still the same words: "You bastard, you deserve to die!"

Chen Muhua spread his hands to them: "What can I say?"

"Fuck him!"

Lupin and his companions couldn't stand it anymore, so they stepped forward and started wrestling with the guy.

The reason why they were so indignant was naturally because this kid would have the opportunity to become Xiao Yi's student.

First of all, Xiao Yi is young, and he has a certain relationship with them and they have communicated before. This alone is enough to make them more excited.

Then the most important point is that Xiao Yi can now be regarded as the most outstanding mathematician and mathematical master of the contemporary era. Every achievement he has made is a top-notch achievement that can make mathematicians all over the world feel ashamed.
Being able to become Xiao Yi's student, there will definitely not be too many problems in the guidance of research topics in the future. Moreover, I will be able to get close to Xiao Yi's way of thinking and communicate with him.

As for the situation where the supervisor cannot provide much guidance to the students due to inconsistent research directions...

Basically, few people worry that Xiao Yi will encounter such a problem.

Who in the mathematics world doesn’t know that Xiao Yi knows more than Terence Tao?
It’s almost like saying that Terence Tao is known as Little Xiao Yi.

……

In Chen Muhua's dormitory, several people started making a commotion.

Meanwhile, Xiao Yi's communication interview was also continuing.

The second student interviewed was from Jiangsu and Zhejiang University. His abilities were quite good, and after taking into account various bonus policies, his final GPA was basically close to the full GPA. However, it was not as abnormal as Chen Muhua, whose final total GPA exceeded 4.0.

His test scores were not particularly impressive, but he did publish a paper in a core journal during his undergraduate studies.

It’s a pity that this journal is in the field of probability and statistics. Compared with Chen Muhua’s algebraic geometry paper, the impression it left on Xiao Yi was slightly lower.

As for the interview process, it is basically the same as the interview with Chen Muhua.

First, you should mainly understand the student's future plans and what research topics he wants to study after entering graduate school. Then, talk to him in this direction and give him a fairly difficult question for him to try to solve.

As for the difficulty, it varies from person to person. People with stronger abilities, like Chen Muhua, can directly take on difficult problems at the doctoral level.

The slightly worse one is at the master's level.

As for those who are even worse, they don't know anything when asked, and even come up and act like a spoiled brat with Xiao Yi...

Then just have a brief chat and provide each other with some corresponding suggestions, such as the choice of future development direction. Just treat it as a brief fan meeting and resolve the battle in three minutes.

Of course, there are relatively few students like this. Among the thirty or so people Xiao Yi interviewed on the first day, there were only three or four like this.

These students who are recommended for admission can basically be said to be quite adept at socializing in school. They won the first place in the National Mathematical Modeling Competition for College Students, and when asked what they do, it turns out that they are responsible for writing papers.

And so on.

Apart from this type of students, the vast majority of other students are more talented than each other.

There are five students whose average GPA in the first three academic years alone exceeds 4.0, and the most impressive one who has published a paper even published a first-tier paper. Of course, it was completed in collaboration, but after learning more about it, it was found that the other person did play some role in this paper.

There are also those who can serve as the president of the student union and excel in mathematics at the same time.

There is even a student who is even more awesome than Chen Muhua, his name is Liang Qiushi, from Tsinghua University, and he studies the field of number theory. He has published 5 papers before, including three SCI papers and two Chinese core papers. Among those three SCI papers, one is in Zone 2. All of them were completed independently.

Xiao Yi also gave him a problem of doctoral level difficulty. Although Liang Qiushi did not solve it, he completed most of it and had some ideas about the next steps.

It can be said to be excellent.

As for Liang Qiushi, he was not betting on whether Xiao Yi would come to teach like Chen Muhua did. This guy...

He actually applied to HKUST just for his girlfriend.

His girlfriend was also a student of Tsinghua University, but she was studying physics. She also got the opportunity to be recommended for admission, and then chose USTC, which is known as the Chinese University of Physics.

So Liang Qiushi came here.

After a brief conversation, Xiao Yi couldn't help but sigh, this kid is really a lovesick guy. His family had already made preparations to send him abroad to study for a master's degree, but now he has a quarrel with his family because of this matter.

Now that he knows that he can choose Xiao Yi as his mentor, it is like a ray of hope for him. Now that his family knows that they have the opportunity to become Xiao Yi's student, they no longer argue with him.

Although in the eyes of his parents, USTC is far less popular than those foreign universities, but with Xiao Yi's current reputation in the country, his parents are able to stop saying more.

After all, the Fields Medal winner is a real thing.

Just like that, after the interviews of dozens of mathematics recommended students were over, Xiao Yi ranked them and naturally the two people he liked the most were Liang Qiushi and Chen Muhua.

Although there are many excellent ones among the rest, when it comes to selecting students, we naturally have to choose the best ones.

Of course, the decision on when to select the students will have to wait until all the interviews are completed.

In the following period of time, Xiao Yi mainly interviewed the students recommended for physics.

However, compared with mathematics, the recommendation of physics students is more complicated, as there are students studying various fields.

In theoretical physics alone, we can distinguish several categories, such as quantum mechanics, relativity, particle physics and statistical mechanics, among which there are also many students who want to study string theory.

Experimental physics can be divided into high-energy physics experiments, condensed matter physics experiments, optical physics, etc. There are also other interdisciplinary subjects, such as the quantum information science of HKUST, which can be regarded as the world's leading major.

There is also astrophysics, which is also a large category.

but……

What Xiao Yi really wanted to complain about was, why did those who chose quantum information science come over and choose him?

USTC is full of talented people in quantum information science, and there are countless leaders. Why don't you go to find big names like Pan Wei, but instead look for him, who has no achievements in quantum information science?
Ok……

In fact, it's not that he has made no achievements at all. If the contribution of his high-temperature superconductor HTSC-1 to quantum information is also counted, then he can be considered a hero in the field of quantum information science.

With the various excellent performances of HTSC-1 in the field of quantum information, it has helped Pan Wei and his team achieve another significant breakthrough.

I was even interviewed on CCTV some time ago.

But no matter what, he has not made many achievements in quantum information theory. Didn’t these recommended students sign up for the opportunity to communicate with him just because they wanted to "visit" him?

And in the field of astrophysics, don’t these people know that he has never published any results related to astrophysics?

Even if someone applied to him for a degree in nuclear physics, he would accept it.

In addition, among these recommended students majoring in nuclear physics, there was a girl who happened to be Liang Qiushi’s girlfriend, named Chen Chunhua.

She is very beautiful, and when you look at her name, Chun Hua Qiu Shi, well, this young couple is indeed born to be together.

Of course, he would not improve his impression of Chen Chunhua because of this incident. Chen Chunhua is indeed very outstanding, but Xiao Yi still does not consider recruiting students in nuclear physics.

Finally, out of helplessness, Xiao Yi sped up the interview process. Only when he met a student who he was more interested in would he communicate with the other party a little more.

Just like that, after a few days, all the interviews were completed. Although he was exhausted, he finally selected the most satisfactory student.

In the field of mathematics, there are Liang Qiushi and Chen Muhua, and in the field of physics, there is only one person, named Sun Yuan.

Sun Yuan has outstanding abilities in theoretical physics and published a first-class paper on quantum chromodynamics during his undergraduate studies.

It can be said that Sun Yuan is the only student among so many recommended students who can independently complete a first-tier paper.

According to Sun Yuan, this paper took him two full years to complete, and it was not published until August this year.

Although it is not a top journal, for a student like him, such results are already quite difficult to achieve.

Especially since this is a paper in theoretical physics.

The threshold of theoretical physics is also quite high, not much worse than pure mathematics, otherwise physics and mathematics would not despise each other.

In the end, Xiao Yi reported the names of the three people to the college. After the college has completed the statistics, the list will be made public.

However, what happened after that had nothing to do with Xiao Yi at all.

"Finally I can continue to study my own things."

After working at HKUST for four days, Xiao Yi returned to his Science Island laboratory on the fifth day.
The area surrounding the laboratory can now be seen being re-enclosed by a construction site fence.

The second phase expansion project of the Science Island Laboratory has officially begun.

Although the second phase of the project is quite large, there are more people working on it, so it is still expected to complete the expansion within one year.

The main contractor is still the Huajian Group Engineering Bureau that we had cooperated with before, and even the project manager is Manager Wang whom I met before.

After standing in front of the window and taking a look at the construction status, Xiao Yi sat back at his desk and took out the draft paper he had used to study the NS equation.

"Now, I have tried to study from several generalized initial condition spaces, but no matter how many calculations I make, or how I deform these spaces according to the explosion tendency theory, I can never get close to the effect I want."

"Um……"

He narrowed his eyes slightly.

"First, this new space needs to satisfy the following conditions: it must be able to control the regularity of the solution, it must be able to control the growth of nonlinear terms, and it must be able to handle more general initial conditions."

After thinking for a moment, he began to try.

"Let's start with the basic definitions of Sobolev space and Besov space..."

【Hs(Rn)={f∈L2(Rn):(1+∣ξ∣2)s/2f^(ξ)∈L2(Rn)}，其中f^是f的傅里叶变换。】

【Bp,qs(Rn)={f∈S′(Rn):∥f∥Bp,qs<∞}, where ∥f∥Bp,qs is defined by wavelet transform or decomposition coefficients. 】

"We now introduce a new function space X^s, whose definition combines the properties of Sobolev space and Besov space and introduces additional conditions to control the growth of nonlinear terms..."

"Let Xs(Rn) be the set of functions f that satisfy the following conditions..."

【Sobolev型正则性：∥f∥Hs=(∫Rn(1+∣ξ∣2)s∣f^(ξ)∣2dξ)1/2<∞……】

【Besov type localization characteristics: ∥f∥Bp, qs=(j=0∑∞……】

As time passed, in his initial attempts, Xiao Yi successfully created a new function space that combined the characteristics of two different function spaces.

"In this new space X^s, we can do some analysis..."

Xiao Yi made a summary on the draft paper next to him.

[Representation of initial conditions: Check whether the initial conditions belong to X^s and calculate their norm.]
[Regularity estimation: Use the regularity condition in X^s to prove the regularity of the solution. ]

【Control of nonlinear terms: Through the nonlinear control conditions in X^s, ensure that the nonlinear terms will not cause the solution to blow up. 】

"Um……"

Xiao Yi frowned slightly, and finally shook his head: "Not enough."

This new function space is only somewhat useful, but not completely useful yet.

However, despite this...

Xiao Yi quickly revealed a relaxed smile.

Because he knew that he had found the key to success.

The only thing missing from all the puzzles is that one crucial method.

And the proof of the NS equation is just around the corner!

(End of this chapter)