Great Country Academician

After staying in his hometown for a few days, Xu Chuan discovered that there is another thing in the world that is more tiring than doing academic research.

That's human relations.

I don't know who leaked the news. Since he came back, people have come to visit him every day.

In the beginning, they were neighbors in the village. They heard that the great scientist who was on the news broadcast was back, and they all came to have a look. They chatted with him and asked him about his learning experience to see if he could get his children into a good university. .

Then the school's teachers, principals and others came to visit with gifts, and then the county, city and other local leaders came to express their condolences and invited him to give a report, give a speech, give out awards and so on.

Although Xu Chuan wasn't very resistant to things like human relations, he felt hesitant to pick up the guests after wave after wave.

A year is harder than studying mathematical conjectures wholeheartedly.

After spending twelve days habitually at home, Xu Chuan bought a ticket and returned to Princeton.

In early February, at his request, four students who received his admission letter rushed to the school from all over the world.

It is a very troublesome thing to let the students who originally enrolled in the fall to enter the spring in advance, involving all aspects.

Such as student visa, school status, check-in arrangements and other things.

But for Xu Chuan, these things are not a problem.

Princeton just changed the admission time to spring. For dormitories, why can't a full professor apply for four dormitories?

As for whether the students can solve their own affairs, that is the students' own affairs.

Theoretically speaking, if you apply for the admission application for the fall semester, some students may still fail to graduate from their original school in January and February.

It's fine if you're an exchange student, but it's troublesome for an international student.

But Xu Chuan didn't care about that.

He issued a task, and how the student completes it is the student's own business.

The relationship between doctoral supervisors and doctoral students is very similar to that of the workplace. The doctoral supervisor is the boss, and the doctoral students are wage earners.

Even if you are on vacation with your girlfriend, you have to obediently come to work as a coolie when your tutor calls.

Compared with the workplace, it is a little better, probably because the doctoral supervisor will give you some help and guidance in your academic career.

When he leads you to work, he will pass on some knowledge and experience from the sidelines. You can ask him about anything you don’t understand, and the tutor is obliged to answer. This is more similar to a “manager” or an “old man” at work.

Of course, the premise is that your tutor is a normal tutor.

If you encounter that kind of unscrupulous mentor, it can be said to be worse than the workplace.

Don’t even think about helping, if you don’t get stuck with graduation, you’ll be lucky if you’re prostituted for nothing and let you work for a few more years.

In the United States, for PhDs, the supervisor's rights are even more astonishing. If the supervisor is dissatisfied, there is a way to expel the student.

Of course, this is generally not done.

After all, if you expel a student, it will be more difficult to recruit students later. The students who apply for you have to consider whether they can graduate from you, right?

According to Xu Chuan's request, in February, all four students came to Princeton successively.

The first person to arrive at Princeton was Gu Bing from Jiaotong University in China.

He even arrived earlier than Xu Chuan. Xu Chuan returned to Princeton after spending the twelfth year in his hometown, and he had already set off on the fourth day of the lunar calendar.

Gu Bing, who lived in the hotel for more than ten days, was always excited and nervous.

The tutor is a top mathematics expert who has proved the seven millennium problems. He had never thought about this before.

Applying for a resume is just a mentality of giving it a try, but in fact, there is not much hope.

After all, he couldn't be more clear about the competition for such a mentor and professor.

Before that, he applied to many foreign universities with good mathematics majors, but because of his oral English and easy nervousness, he basically didn't pass.

If it doesn't work this time, he will probably turn to submit his resume to a slightly lower-level university.

Who would have thought that the twists and turns, and the resumes submitted with the mentality of giving it a try were selected instead.

It's almost like a dream.

No, you can't even dream of such a dream!

So after receiving the fantastic notice, he celebrated for two days and then quickly settled all the domestic affairs. He didn't even leave his relatives during the Chinese New Year, so he hurriedly set off after the Chinese New Year.

Don't ask for anything else, just want to leave a good impression in front of the instructor as soon as possible.

After staying in the hotel for ten days, he finally received a message from Xu Chuan asking when he could arrive.

After receiving the information, he immediately appeared in front of this mentor who was several years younger than him.

Seeing Gu Bing standing in front of him, Xu Chuan was stunned for a moment, and asked, "When did you come here?"

Gu Bing stroked his thinning hair, and said with a sneer, "I'm afraid of delaying your time, so I left on the fourth day."

It has to be said that this wave of favorability has really touched Xu Chuan's heart. After all, what boss doesn't like a sensible and obedient employee who can work overtime on his own?

Nodding his head, he said, "Have you brought any materials? If so, I will take you to go through the admission procedures."

Hearing this, Gu Bing nodded quickly: "I have brought it, it's all in the schoolbag."

After taking Gu Bing through the admission procedures and letting him familiarize himself with the environment, Xu Chuan returned to his office.

He has to prepare the study arrangements for these students and the big class in Princeton.

It is the most basic obligation to perform what kind of duties in what kind of positions.

As a professor, he naturally has to teach good students.

In fact, these things should have been thought up during the Chinese New Year, but at that time, the human relationship made him exhausted, and he was also thinking about his next arrangements during the Chinese New Year.

In essence, compared to his status as a Princeton professor, his more fundamental and important status is that of a researcher at the Institute for Advanced Study in Princeton.

As a researcher, doing your own research is the most important thing.

So the focus of his thinking during the Chinese New Year has always been on his next arrangements.

As for students and lectures, based on his experience as a professor in his previous life, it is not a big deal, he can do it casually.

However, the next arrangement really needs to be carefully considered.

During the two years in Princeton, solving Hodge's conjecture was something Xu Chuan did not expect, which disrupted his study arrangement.

He went to Princeton with the attitude of learning at the beginning, and never thought that he could break through such top-level problems in a short period of time.

But this also made him see his talent in mathematics, which can be said to be not weaker than physics.

After all, problem-solving itself is an important means of learning. It can apply the knowledge you have learned and integrate it into a whole.

Being able to solve the Hodge conjecture within two years, and building a bridge in the three major fields of algebraic geometry, analysis, and topology, even with the help of mathematical knowledge from the previous life, can be said to be different from ordinary people.

Considering that he will stay in Princeton for a year or so, Xu Chuan does not want to be left in the United States, so he will not be able to touch the science related to application in the next time.

Although I don't know why the other party hasn't come to contact me for the time being, what is certain is that he is now on the form of the US Immigration Service.

Perhaps it is the huge difference between the field of pure theoretical science and the field of applied science.

All the results of the former are public and can be viewed by every country, and it often takes an extremely long time to transform pure theoretical science into practical technology.

And the latter, talents in the field of applied science, can each create incomparably great value for a country.

Mr. Qian, who returned to China in the early years, is a top genius in the field of applied science. After returning to China, the changes he brought to China can be seen by anyone, which is extremely huge.

In his previous life, he was locked in the United States because he participated in the application and development of nuclear energy physics.

Considering this aspect, Xu Chuan set his sights on the purely theoretical fields of mathematics and physics.

In addition, the time in Princeton may only be a few months, and he set his sights on the two major systems of manifold and chaos.

Broadly speaking, the former can be regarded as the intersection of mathematics and physics.

Manifolds are developed to the extreme in mathematics and are the Navier-Stokes equations in the Seven Millennium Problems.

This aspect relates to his ultimate goal of coming to Princeton - 'Turbulence Control in Controlled Nuclear Fusion'.

In the Institute for Advanced Study in Princeton, scholars such as Mathematics Professor Fehrman and Physics Professor Duncan Haldane are top professors in manifolds.

He would not be reconciled if he could not bring back some knowledge in the field of manifolds from Princeton.

So he locked his first target on the manifold field.

In fact, in Princeton, he still has one thing he really wants to learn.

That's 'fluid mechanics'.

He really wanted to have an in-depth exchange with the physics professor in Princeton to learn about this aspect, but after thinking about it, he finally gave up the idea.

Without him, although fluid mechanics is the basic knowledge of physics, this direction has a strong application nature and is the foundation of many industries.

The study of fluid mechanics not only plays an important role in the development of the whole science, but also plays an indispensable role in many industries and projects related to the national economy and people's livelihood.

It has both the nature of basic disciplines and strong applicability, and is an important part of engineering science or technical science.

The most prominent example is the aerospace industry. It is no exaggeration to say that without the development of fluid mechanics, there would be no aerospace technology today.

For example, if you are sitting on a Boeing 747 in a civil aviation aircraft, imagine that there are more than 400 people sitting in it, the total weight exceeds 300 tons, and the total length and width are more than half the size of a football field. It is lighter than a feather Supported by the air, this is an achievement of hydrodynamics that no one can help but marvel at.

So after thinking about it for a while, he finally gave up on this idea, chose only theoretical manifolds, and gave up fluids with applied properties.

As for chaos mathematics, it is based on his previous in-depth research on mathematics.

It is a new mathematics developed on the basis of measure theory, probability theory, random process, dynamic system and fractal theory.

The main purpose is to see how unpredictability can be reconciled with determinism.

In the simplest terms, chaos mathematics is actually the study of the 'butterfly effect'.

The goal is to make the butterfly effect work for you, where small changes in initial conditions yielding subsequent large changes in behavior can be an advantage; all you have to do is make sure you get the big changes you want.

This aspect is not only related to mathematics, but also related to physics. It can even be mixed in the high-temperature plasma turbulence control of controllable nuclear fusion.

If he can bring back some of these two aspects of knowledge from Princeton, Xu Chuan believes that his future research on controllable nuclear fusion will be improved a lot.

As for solving the problem of controllable nuclear fusion, even if he was reborn once, he was actually not sure.

Even if he had already stood at the pinnacle of this field in his previous life and advanced it a lot, he still didn't have any confidence.

Because there are so many problems to solve.

The superconducting material is one point in the problem of controllable nuclear fusion, the problem of turbulence is also one point, and the self-sustainability of tritium is also one point.

And as it advances, no one knows how many such problems there will be in the future.

Xu Chuan never thought that he would be able to solve the controllable nuclear fusion immediately after returning from Princeton. That's idiotic nonsense, let alone rebirth, even if he is reborn again, he may not be able to do it.

As the ultimate energy source in human dreams, if it is so easy to solve, it would have been solved long ago.

Anyway, he is ready to spend his whole life smashing this technology.

As for whether it can be done in the end, apart from hard work, the rest is left to God to decide.

In the office, Xu Chuan took out a brand new notebook from the drawer after pondering for a while.

For the four students he brought, it was impossible for him to use the same method to teach and lead them to the same field.

At least, that's not what a good tutor would do, it's not the way to lead a student.

Of course, this can be done before graduate school, but not after graduate school.

Especially doctoral students, because for doctoral students, everyone's previous learning direction has different emphases, and the subsequent development will naturally be different.

In addition, what these students have to do at the doctoral stage is not only to learn knowledge in depth, but also to create knowledge in their own field of study.

Therefore, he had to make a general arrangement for the application establishment of these four students. As for the specific direction, he had to wait until they were all present before communicating.

However, although everyone's learning direction is slightly different, the overall goal is still unified.

And he has a pretty suitable target in his hands.

"Algebraic Varieties and Group Mapping Tool!"

That's right, it is the mathematical tool he used to prove Hodge's conjecture before.

This tool is quite suitable for the four students to learn.

Whether it is Gu Bing and other three who were selected to study pure mathematics earlier, or Amelia who was accepted later to study mathematical physics, they can learn this set of mathematical tools in depth.

It is a tool for communicating the three fields of algebraic geometry, topology, and analysis. Needless to say, in the field of mathematics, topology and analysis are also very important mathematical tools in mathematical physics.

So even if Amelia majored in mathematical physics, she wouldn't have any problems with this set of mathematical tools.