Great Country Academician

Jinling, Nanjing University, it’s graduation season again.

Before going to the Chinese Academy of Sciences to use their SQUID superconducting quantum interference magnetometer to conduct research and development of magnetic polariton electromagnetic fields, Xu Chuan still had something to solve.

It has been more than three years since we admitted four new students in 2021.

Among the four students, two have Ph.D. degrees: Ding Rui and Tong Yang. The former specializes in the field of functional analysis. Now he is studying computational materials science with him, and he is still early to graduate.

But another Tong Yang has completed his graduation thesis and is considering graduating.

"Have you thought about it?"

In the office, Xu Chuan took his graduation thesis from Tong Yang and asked with a smile.

Tong Yang nodded, pursed his lips and said, "Well, think about it, professor."

"Okay, let me take a look at the paper."

Xu Chuan nodded and opened the paper in his hand.

The paper is about thirty pages long, and its title is "Research on the Optimal Pinch Problem Based on the Minimum Legendrin Submanifold on the Unit Sphere"

A difficult problem in the field of geometric analysis is not a world-class problem, but for a doctoral student, it is already a pretty good performance to make some progress on it.

[Declaration of originality]

"I declare that the thesis submitted is the research work and research results obtained by me under the guidance of my supervisor."

【Summary】

"This article mainly studies the eigenvalues ​​and rigidity issues of extremal submanifolds on the unit sphere. Suppose M^n is a closed manifold in the unit sphere S^n. Recommendation: M^n→ S^n*(1) If the functional F(x) (see equation (1.19)) obtains a critical value, then M is called an extremal submanifold."

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【introduction】

"This paper focuses on the eigenvalue problem of extremal submanifolds and the overall squeeze theorem, and gives some characteristics of the submanifold from the perspective of eigenvalues. The full text is."

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While Xu Chuan was reading the paper, Tong Yang pursed his lips and gritted his teeth, looking a little worried and nervous.

Compared with the three students who had graduated from Xu Chuan before, his graduation thesis was far behind.

Whether it is Amelia, Gu Bing, or Cai Peng, the three of them have solved a world-class problem together or independently, and are qualified to give a forty-five-minute report at the International Congress of Mathematicians.

As for his graduation thesis, not to mention world-class problems, he didn't even touch on them. He only made a breakthrough in one of the difficult problems in the field of geometric analysis, and didn't even completely solve the problem.

Of course, this does not mean that his graduation thesis is useless.

If put in the hands of other doctoral students, even at schools such as Shuimu Peking University, this paper would be enough to get an excellent graduation thesis and be published in the top journals of SCI. It might even be possible to touch the tail of the four major journals in mathematics.

After all, geometric analysis itself is one of the most popular research fields in mathematics, and minimal legendrin submanifolds are closely related to mathematical branches such as differential equations, topology, geometric measure theory, and complex variable function theory, and are used in theoretical physics. It has important applications in , and can also be said to be an important issue.

But no matter what, compared to the brilliant graduation results of the previous three seniors, his paper was indeed far behind.

Therefore, Tong Yang was very uneasy, worried about whether such a paper would be enough for graduation in the hands of this tutor.

For Xu Chuan, a doctoral student's graduation thesis is not much different from a primary school student's mathematics problem.

It took him less than ten minutes to read the entire thirty-page paper.

The paper is not very long, but it is indeed short and concise.

It is quite good in the field of geometric analysis.

Putting the paper in his hand on the coffee table, Xu Chuan raised his head, looked at Tong Yang, and said with a smile: "It's a very good paper. Overall, there are no big problems."

"Pages 12 and 24 are very essential on the application of eigenvalues ​​of extremal submanifolds and Vineh's theorem."

"But between the eighth line on page seven and the seventeenth line on page eight, the mapping you defined for the natural frame in the Euclidean space R adopts the method that the real projective plane is a Veronses surface. The steps here are more cumbersome. , if extreme hypersurfaces and minimal surfaces are used to connect, at least fifteen lines of calculations can be saved here."

Looking at Tong Yang, Xu Chuan smiled and commented on his graduation thesis.

It is indeed quite good for a doctoral student to write this kind of paper. At least in the field of geometric analysis, his student's skills are still good.

As for the future development prospects, it cannot be determined.

However, with such a thesis as a foundation and the fact that his tutor is him, it is not a big problem to become a university professor in a domestic university.

As for whether you are a full professor or an associate professor, it depends on which university you are in.

After all, different university mathematics departments have completely different standards and requirements for professors.

Of course, compared to the three senior brothers and sisters before him, the starting point was much lower.

After all, the first three, whether Amelia, Gu Bing, or Cai Peng, all directly led doctoral students after entering the university.

As for Tong Yang, he probably doesn't have this ability.

But whether you are a full professor or an associate professor, no matter which one you are, the starting point is already quite good compared to most students.

In the office, after listening to Xu Chuan's teachings and thinking about the paper in his hand for a while, Tong Yang nodded seriously: "Thank you, Professor, I will optimize it when I get back."

Xu Chuan smiled, took a sip of the tea on the table, and asked, "Where are you going to submit this paper?"

Tong Yang shook his head and said, "It hasn't been decided yet."

After a slight pause, he glanced at Xu Chuan and asked hesitantly: "Professor, when will your "Hope" journal be released?"

Before he finished speaking, Xu Chuan smiled, shook his head, and interrupted: "No, "Hope" is still in preparation and it will take some time."

"Your paper"

After thinking for a while, he continued: "Vote for "New Advances in Mathematics"."

Xu Chuan knew what his student meant. He probably wanted to submit it to the journal "Hope" he founded. He had good intentions. After all, a newly established journal needed various papers to carry out its work.

But for him, these things are not needed.

On the contrary, for this student, a good paper and submission to a good journal are still necessary.

After all, even if you have his back, you still need your own qualifications.

It is relatively difficult for this paper to be published in the "Annals of Mathematics". After all, he has been continuously submitting articles to the "Annals of Mathematics" over the years, especially the proof of the Millennium Problem, which has raised its status a lot. , is now unique among the four major journals in mathematics.

However, "New Advances in Mathematics" is also quite good. This kind of paper that makes a breakthrough in a certain difficult problem is quite suitable.

Although it is just a doctoral thesis, there is no need to worry about whether it is qualified enough to be included in "New Advances in Mathematics".

The paper is of good quality and the corresponding author has his name on it. I believe the editor of "New Advances in Mathematics" will be happy to accept this paper.

"Thank you, Professor."

Opposite the sofa, Tong Yang nodded excitedly, his heart filled with joy.

Although he was already considering the four major journals after excluding the unestablished "Hope", he was only considering the two lowest ones among the four major journals, and "Mathematics" in Xu Chuan's words "New Progress" are two completely different concepts.

With the professor's guarantee, as long as the paper has no core issues, it is basically stable.

An article called "New Advances in Mathematics" is currently the top journal second only to "Annals of Mathematics". The influence of papers in the four major journals in China is now very large.

Xu Chuan smiled and said: "Go back and optimize and prepare carefully. Just send the paper to me after processing."

Tong Yang nodded vigorously and replied quickly: "Okay, Professor."

"Go ahead."

Xu Chuan said, looking at Tong Yang's leaving back and smiling, feeling a little emotional.

Of the four students, the first one is about to graduate.

Although they are far apart from Amelia and others, it is normal for people to have gaps between them.

Mathematics, in particular, is a subject that requires extremely talented people.

It depends on the individual who is brought in by a tutor to practice. Even if he is a tutor, it is impossible for every student he teaches to grow into a mathematician.

Just like Mr. Alexander Grothendieck, the Pope of Mathematics, he had many students throughout his life, but the only two famous ones were Pierre Deligne and Michel Reno.

He is no exception. In the future, 'medium' students like Tong Yang will probably be the majority.

Of course, this does not mean that students like Tong Yang are bad.

In fact, for a country, scholars like him are the real mainstay group with the largest number of people.

After finishing Tong Yang's graduation thesis, Xu Chuan led the magnetic polariton field research team to the Shenzhou Branch of the Chinese Academy of Sciences.

Here is the largest SQUID superconducting quantum interference magnetometer laboratory in the Chinese Academy of Sciences, which can detect extremely weak magnetic field changes and measure magnetic field changes from DC to radio frequency. It has significant advantages in detecting microscopic particles and studying the properties of matter.

In the afternoon of the same day, Dean Yu Haibing, the president of the Shenzhou Branch of the Chinese Academy of Sciences, personally led a team to the high-speed rail station to pick him up.

"Academician Xu, welcome, welcome to Shenzhou to guide research work."

Wearing glasses and looking slightly rich, Yu Haibing walked up with a smile on his face and extended his hands enthusiastically.

"Dean Yu."

Xu Chuan said hello with a smile, shook hands with Yu Haibing, and said with a smile: "I'm going to trouble you this time."

"Hey, what are you talking about? It's too late for us to be happy."

Yu Haibing had a smile on his face, shook Xu Chuan's hand vigorously, and said with a smile: "This is the first time that Academician Xu has come to Shenzhou. I've asked someone to prepare some of Shenzhou's specialties, and this is what happened. It’s almost dinner time, you see?”

"Then let's have some food together, and we can talk about the work on the magnetic polaron field experiment."

Xu Chuan smiled and nodded. This kind of communication cannot be avoided, especially since he also borrowed other people's equipment.

Because of the early application and preparation, the Shenzhou Branch of the Chinese Academy of Sciences has already made preparations in advance to open the SQUID superconducting quantum interference magnetometer laboratory.

As for the related equipment that needs to be transported from Xinghai Research Institute, it has been delivered in advance by postal express.

With the help of engineers from the Shenzhou Branch, the team led by Xu Chuan quickly prepared the relevant equipment.

Just like at Xinghai Research Institute, the experiments conducted at Shenzhou Branch are still divided into two major modules.

Part of it is generated by the magnetic polariton electromagnetic shield of alternating current, and the other part is naturally related to direct current.

Although it is just a difference in power supply, the effect when applied to magnetic polariton electromagnetic shields is also different.

Alternating current has high efficiency and economy in power transmission, distribution and utilization, and motors, transformers and other equipment are easy to achieve efficient and flexible automation control, and are suitable for industrial automation, power automation and other occasions.

The DC motor has a simple structure and is easy to maintain. It is suitable for occasions that require high-precision control. It has a large transmission capacity and the size and direction of the transmission power can be quickly controlled and adjusted.

This is quite a match for the magnetic polaron electromagnetic shield.

Because it requires different power when facing different levels of plasma radiation, star dust and other environments.

With the speed of space shuttles and spacecrafts, as well as the rapid output of high-power DC power in emergency situations, better protection can be achieved.

But correspondingly, the DC voltage cannot be stepped up or down through a transformer. Boost or buck conversion can only be performed through specialized electronic circuits.

And if high power and rapid output are required, then in an emergency, it is necessary to deploy supporting energy storage equipment.

Therefore, Xu Chuan needs to consider as much as possible the performance of the magnetic polaron electromagnetic shield under the two currents to see which one is more suitable.

In the SQUID superconducting quantum interference magnetometer laboratory, the equipment that has been fully deployed is about to officially enter the experiment.

The electrical energy received from the laboratory is connected to the magnetic polariton electromagnetic shield generator through a 380V wire.

Because it is an experimental equipment, this electromagnetic shield generator is not very large and its power is quite small. The 380 volts of ordinary industrial electricity is enough for it to conduct experiments.

In the laboratory, Yu Haibing, the dean of Shenzhou Branch, looked at the magnetic polaron electromagnetic shield generator in the center of the laboratory with a curious look on his face and asked curiously.

"Is this the magnetic field generator you mentioned before?"

Because the plasma electromagnetic deflection shield is kept secret, not many people know the specific situation. At Shenzhou Branch, Yu Haibing only knows the general purpose of the magnetic polaron electromagnetic shield generator, and knows that it is probably a device that creates electromagnetic fields. As for what the equipment is used for, I have no idea at all.

If it were someone else, it would be basically impossible for Shenzhou Branch to connect its own laboratory to the outside in this situation. After all, if something went wrong, the higher ups would be held accountable.

But for the person in front of me, it doesn't matter.

Standing next to Yu Haibing, Xu Chuan looked at the busy people in the laboratory, nodded, and replied: "This is just an experimental sample. The real equipment needs to be optimized and modified based on the data of this experimental product."

"Speaking of which, why did you suddenly start studying magnetic fields?" Yu Haibing asked curiously.

Xu Chuan smiled and simply replied: "It is used on the space shuttle, but due to the current confidentiality of research and development, the specific use cannot be disclosed for the time being. Dean Yu, please don't pry."

Yu Haibing laughed and joked: "If you dare to say it, I may not dare to listen."

The two chatted. In the laboratory, the final preparations were completed. Everyone packed up their tools, completed the inspections they were responsible for in an orderly manner, and quickly exited the laboratory after confirming that no equipment was missing.

In the SQUID superconducting quantum interference magnetometer laboratory, the first test of the magnetic polaron electromagnetic shield generator has officially started.

PS: I had a serious cold two days ago, and my body has not fully recovered yet. The updates in the past few days have been unstable due to this, sorry.

I feel that my body's resistance and immunity have dropped a lot in the past two years after I became pregnant, which is really uncomfortable.