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

That's the human relationship.

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

At first, it was a neighbor in the village, and when I heard that the big scientist who had been on the news network had returned, they came to have a look, chatted and asked him about his learning experience at the same time, and saw if he could let his children be admitted to 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 condole and asked him to come over to make a report, give a speech, and give out awards.

Although Xu Chuan is not very resistant to things like human contacts, he has come over wave after wave, and he has picked up guests.

A year is harder than a wholehearted study of mathematical conjectures.

......

After habitually spending 12 days at home, Xu Chuan bought a ticket back to Princeton.

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

It is a very troublesome thing to get students who would otherwise enroll in the fall to enroll in the spring early, and it involves all aspects.

For example, the student's visa, the school's student status, the check-in arrangement, and other things.

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

Princeton here just changed the admission time to the spring, dormitories or something, can't a full professor apply for four dorm places?

As for whether the student can solve his own problem, it is the student's own business.

Theoretically, if you apply for admission to the fall semester, some students may not graduate from their original school in January or February.

If you're an exchange student, it's fine, but if you're an international student, it's a problem.

But Xu Chuan didn't care about this.

He gave the task, and how the student accomplished it was the student's own business.

The relationship between doctoral supervisors and doctoral students is very similar to the workplace, where doctoral supervisors are bosses and doctoral students are wage earners.

Even if you're on vacation with your girlfriend, and your mentor calls you, you have to come over obediently to work and move bricks as a coolie.

Compared with the workplace, it is slightly better that the doctoral supervisor will give you some help and guidance in your academic career.

When he takes you to work, he will pass on some knowledge and experience on the side, you can also ask him if you don't understand anything, and the mentor has the obligation to answer, which is more similar to the 'manager' or 'old man' at work.

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

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

Don't think about helping or anything, if you don't graduate, you will be lucky to let you work for a few more years.

In the United States, for doctors, the rights of the supervisor are even more amazing, and if the supervisor is not satisfied, there is a way to expel the student.

Of course, this doesn't usually do.

After all, if you expel a student, it will be more difficult to recruit more students later, and the student who applies to you has to consider whether he can graduate from you, right?

......

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

The first person to go to Princeton was Gu Bing of the National Jiaotong University.

He even arrived before Xu Chuan, who returned to Princeton after the 12th day in his hometown, and he had already set off on the fourth day of the lunar calendar.

Gu Bing, who has lived in the hotel for more than ten days, has always been very excited and apprehensive.

The tutor was a top math guru who proved the Seven Millennium Problems, and he had never thought of it before.

Submitting a resume is just a mentality of trying it out, but in fact, there is not much hope.

After all, with such a mentor and professor, he couldn't be clearer about how big the competition will be.

He has applied to many foreign universities with good mathematics majors before, but because of oral language and easy nervousness, he basically didn't pass.

If that doesn't work this time, he'll probably turn to lower-grade universities.

Who would have thought that the resume that would be thrown out with the mentality of giving it a try would be picked instead.

It's like a dream.

No, you can't dream of anything like that!

So after receiving the fantastic notice, he celebrated for two days, quickly dealt with all the domestic affairs, and didn't even leave his relatives during the New Year, and hurried to set off after the New Year.

Don't ask for anything else, just leave a good impression in front of the tutor for the first time.

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

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

Looking at Gu Bing standing in front of him, Xu Chuan was stunned for a moment and asked, "When did you come over?" ”

Gu Bing touched his sparse hair and said with a sneer: "I'm afraid of delaying your time, so I left in the fourth year of junior high school." ”

I have to say that this wave of favorability has indeed brushed Xu Chuan's heart, after all, which boss doesn't like a sensible and obedient employee who can work overtime independently?

Nodding, he spoke, "Did you bring any information or something?" If you do, I'll take you to the admission formalities. ”

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

......

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

He had to prepare for the students' schedules and the big classes at Princeton.

It is the most basic obligation to fulfill what kind of responsibilities in what kind of position.

As a professor, he naturally has to teach his students well.

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

Essentially, he is a researcher at the Institute for Advanced Study in Princeton more basic than a professor at Princeton.

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

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

As for students and classes, it is not a matter of his experience as a professor in his previous life, and he can do it casually.

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

During his two years at Princeton, he solved what Xu Chuan had not thought of when he solved the Hodge conjecture, which disrupted his study schedule.

He first went to Princeton with a learning mentality, and he didn't think that he would be able to break through such a top-level problem in a short period of time.

However, this also made him see that he was talented in mathematics, which can be said to be not weaker than physics.

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

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

Considering that he would stay in Princeton for a year and a half, Xu Chuan didn't want to be left in the United States, so he couldn't 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, it is certain that he is now on the form of the immigration bureau of the United States.

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 publicly available for every country to view, and it often takes an extremely long time to translate purely theoretical science into practical technology.

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

Qian Lao, who returned to China a few years ago, is a top genius in the field of applied science, and after he returned 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, also because he participated in the application and development of nuclear energy physics.

With this in mind, Xu Chuan set his sights on the purely theoretical fields of mathematics and physics.

Coupled with the fact that he may only be in Princeton for a few months, he has set his sights on the two systems of manifold and chaos.

Broadly speaking, the former is an intersection of mathematics and physics.

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

This stuff relates to the ultimate purpose of his coming to Princeton – 'turbulence control in controlled nuclear fusion'.

At the Institute for Advanced Study in Princeton, scholars such as Fellman, a professor of mathematics, and Duncan Haldane, a professor of physics, are among the top professors in manifolds.

If he couldn't bring some knowledge of manifolds back from Princeton, he wouldn't be reconciled.

So he targeted the manifold domain for the first time.

In fact, at Princeton, he still has something he wants to learn.

That's 'fluid mechanics'.

He was eager to have an in-depth exchange with a physics professor in Princeton to learn about it, but after thinking about it, he finally dismissed the idea.

Although fluid mechanics is the basic knowledge of physics, this direction has a strong application nature and is the basis of many industries.

The study of fluid mechanics not only plays an important role in the development of science as a whole, 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 a basic discipline and a 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 sit on a Boeing 747 plane, think of this kind of aircraft with more than 400 people sitting in it, with a total weight of more than 300 tons, and a total length and width the size of more than half a football field, supported by air lighter than a feather, which is an achievement of fluid mechanics that no one can help but marvel at.

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

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

It is a new mathematics developed in measurement theory, probability theory, stochastic processes, dynamic systems, and fractal theory.

The main aim is to figure out how unpredictability can be reconciled with determinism.

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

The aim is to make the butterfly effect work for you, where a small change in the initial conditions produces a large change in subsequent behavior, which can be a plus; All you have to do is make sure to get the big changes you want.

This is not only about mathematics, but also about physics, and even in the control of high-temperature plasma turbulence in controlled nuclear fusion, it can also be mixed with a kick.

If he can bring some knowledge of these two aspects back to China from Princeton, Xu Chuan believes that his future research on controlled nuclear fusion will be much more advanced.

As for solving the problem of controlled nuclear fusion, even if it is reborn once, he is actually not sure.

Even if he had stood at the pinnacle of this field in his previous life and advanced it a lot, he was not sure at all.

Because there are so many puzzles to solve.

Superconducting materials are one of the problems of controlled nuclear fusion, as is turbulence, and tritium is self-sustaining.......

And as we move forward, no one knows how many such problems there will be.

Xu Chuan didn't think that he would be able to solve controlled nuclear fusion immediately when he returned from Princeton, it was a fool's dream, let alone being reborn in one life, even being reborn in another life may not be able to do it.

As the ultimate energy source in the human dream, if it was so easy to solve, it would have been solved a long time ago.

Anyway, he was ready to use this technology for the rest of his life.

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

.......

In the office, Xu Chuan pondered for a while and pulled out a brand new notebook from a drawer.

It is impossible for him to teach the four students in the same way and bring them to the same field.

At least, a good tutor wouldn't do that, it's not the way to take students.

Of course, you can do this before graduate school, but not after graduate school.

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

In addition, these students are not only required to learn more than just in-depth knowledge, but also to create knowledge in their own field of study.

Therefore, he had to make a rough arrangement for the application of these four students, and as for the specific direction, he still needed to wait until they arrived before communicating.

However, although each person's learning direction is slightly different, the overall goal is still the same.

And he has a fairly suitable target on his hands.

"Algebraic Cluster and Group Mapping Tools!"

That's right, the same mathematical tool he used to prove Hodge's conjecture.

This tool is quite suitable for these four students.

Whether it is Gu Bing and the other three who were selected to learn pure mathematics in the front, or Amelia who studied mathematics and physics in the back, 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, not to mention the field of mathematics, and in mathematical physics, topology and analysis are also very important mathematical tools.

So even if Amelia studied mathematical physics, she would have no problem facing this set of mathematical tools.

.......