Yes, funding for purely theoretical research projects will naturally be cut.

I'm not complaining. After all, this is never something that can be decided by one or two people, but rather the limitations of this era. But in terms of theory, we are already lagging behind. We still have little funding and do not pursue international cooperation. What do you think we should do?

Not to mention that pure theoretical and mathematical research requires not only talent, but also a broad vision."

Zhang Shuwen shook his head and said: "Mr. Tian, ​​I study number theory, and you study geometric analysis. Although I am very grateful for the help you provided me with my doctoral thesis, you should know that I do not want to get involved in any ideas.

Fight."

Tian Yanzhen nodded and said: "I don't mean to let you get involved in any disputes. You should also understand Qiao Yu's talent. I just want to say that although he is my student, first of all, he is also a native of China.

The children who came out.

If he is unknown in the future, it will be fine. But if he really produces results and encounters some bad things in the international mathematics community, I hope everyone can help. He doesn’t have much say in the first place. If the child’s life is still affected by these things,

There’s no point in delaying your future.”

Zhang Shuwen smiled and said: "Mr. Tian, ​​if you don't have the confidence to train a child with such a talent, why not stop being his teacher. And I think he may be more interested in number theory in the future and can be given to

I."

Tian Yanzhen also laughed: "Haha, teacher is just a title. As you know, his understanding of mathematics is not deep enough, and this kid has a wide range of interests. When he came to school on the eighth day of junior high school, I gave him my literature

The account was given to him, and the original intention was to let him download Robert's paper and read it, so that he would not be completely confused during the lecture.

As a result, this kid downloaded five Schulz papers that night and started studying them. After reading them, he even gave himself an exercise on complete space theory. After I gave him a lesson yesterday, I started to read them honestly in the afternoon.

Robert's thesis. As a result, something suddenly happened today. So, if you want to teach him, I have no objection. Why don't you give him your communication method, and I will ask him to read more of your thesis later. What's the point?

If I don’t understand, how about contacting you directly?

Zhang Shuwen frowned again: "What do you mean? He just came into contact with the field of Peter Schulz research in the eighth grade of junior high school, and then he had those ideas and put them into practice directly? Professor Tian, ​​are you really kidding me?"

Tian Yanzhen suppressed his smile and replied seriously: "Yes, if you don't believe it, I have his ticket booking records and the records downloaded in the background of the paper, which I can show you. Of course, don't tell me about you.

I don’t believe it anymore, and I was shocked at the time. If this were not the case, I would not have called you today.”

Zhang Shuwen said seriously: "Okay, let me take a look."

"Huh?" Tian Yan was a little surprised. Good guy, he was just being polite, but he really wanted to see it. But then again, this thing is really hard to believe. And the more experienced you are, the harder it is to believe.

Tian Yanzhen even believed that if Peter Schulz knew that there was a fifteen-year-old child who could understand his proposition just by reading his paper for one night, he would probably find it unbelievable.

Just looking at the evidence so simply seems to show that there is too little trust between them.

This guy can really do it.

However, Tian Yanzhen still took out his mobile phone. Fortunately, the booking for Qiao Yu was not done by someone else...

"Look." Tian Yanzhen handed over the phone calmly: "This is the booking information... Let me show you the background document download record. You don't think I will download it in one go at seven o'clock in the evening.

Let’s read the five Peter Schulz papers?” After reading the records very carefully, Zhang Shuwen fell silent again.

With the thinking mode of a normal mathematician, it is really impossible to understand how a fifteen-year-old child who has not received systematic education can understand Peter Schulz's paper in one night.

After all, the mathematical knowledge involved is very complex, including the most basic linear algebra, abstract algebra, trial analysis and concentration; in algebraic geometry, in-depth study of projective geometry, affine geometry, algebraic varieties and schematic theory, homologous algebra and

More advanced p-adic and p-adic analysis, city-like theory in algebraic number theory, Galois representation, the basis of local domain and global domain, classical Hodge theory and p-adic Hodge theory, complete congruence spaces, homology

and derived categories.

By the way, there is also category theory.

Of course Zhang Shuwen has also studied Peter Schulz's paper, which uses the language of category theory in a large part. Concepts such as categories, functors, and natural transformations are indispensable for understanding his research.

"Of course, he only downloaded five articles and didn't read that much. I talked to him at noon and he only read the 2011 article for the time being." Tian Yanzhen explained again.

The phone was returned to Tian Yanzhen. Zhang Shuwen did not speak, but walked forward driven by instinct. Not long after, the east gate of Yanbei University was in front of him. Zhang Shuwen suddenly stopped, and Tian Yanzhen also stopped.

"Compared with such students, you, as a tutor, are a bit less interesting!" Zhang Shuwen said pertinently.

Tian Yanzhen smiled but said nothing.

If the two exchanged places and he had attended a similar seminar in Huaqing, he would have said the same thing.

Zhang Shuwen added: "Of course, I am also a little behind. But you are right about one thing. This child deserves to be carefully cultivated. I will send you a private email later. If he has any problems in the field of number theory in the future, you can Feel free to send me an email to discuss, and of course you can also leave him my personal phone number."

"Okay!" Tian Yanzhen replied concisely and concisely.

There is no need to emphasize other things. Mathematics also pays attention to the inheritance of a mantle. It is not only the Chinese school, but also the whole world. The Eastern European school, the Soviet school, the Dutch school, the French school, the Swiss school, the American school... all should be there. Yes. It can even be divided into more details. Even if there is no name of teacher and student between Zhang Shuwen and Qiao Yu, there is already a teacher-student friendship. Sometimes the friendship between teacher and student is even more important than the name of teacher-student. reliable.

If a student is really bullied in the future, how can a teacher not come forward to defend him?

Who doesn’t have the mentality to protect their own shortcomings? Of course I, as a teacher, have the right to criticize my own gifted students, but you deserve it too?

When they reached an agreement, Zhang Shuwen couldn't help but ask: "Will the last question he asked for advice have to be forwarded from you before being sent to me?" Tian Yanzhen smiled and said confidently: "No. As for, he is already my student."

"Goodbye." Zhang Shu said simply and concisely. "I won't send you off." Tian Yanzhen nodded.

After bidding farewell to Zhang Shuwen, Tian Yan turned around and walked towards the research center with genuine satisfaction. Qiao Yu was still waiting for him.

All the goals were achieved. Not only did he show off the talented students he discovered, but he also made the other party willing to tutor his students for free, and by the way, he protected Qiao Yu's future...

Zhang Shuwen returned to Huaqing University. He wanted to go back to the hotel to calm down, but he received a message from the old man on WeChat, asking if the seminar was over. After thinking for a moment, he simply came to the old man's office first. There was no other way. He had to accept this old man's favor for many things.

"I'm back." "Yeah."

"Is there really such a student?" Obviously, the old man was also very curious. No matter how brilliant a life is, it cannot withstand the polishing of time.

Why is the Fields Medal only awarded to mathematicians under forty years old? Because everyone knows that people are most energetic and have the most active brains before they are forty years old. After forty years old, even if the body is still healthy,

But his brain power began to decline drastically.

Therefore, there are no big achievements before the age of forty, and after forty, it becomes very difficult.

This is especially true when you are over sixty and gradually enter old age. After time has accumulated, all that is left is experience. At this time, not only can you not keep up with your brainpower, but also your energy. You can probably only put your hope in being able to do scientific research.

A disciple who inherits the mantle. An outstanding student will naturally make the big bosses happy.

Of course Zhang Shuwen knew this mentality, because he was the same, so he chose to come back and answer questions face to face.

"Yes, the talent is amazing! I kept thinking about what kind of talent would allow me to read Schulz's thesis in one night without having much prior exposure to relevant background knowledge, and he was only fifteen years old." The old man

He said decisively: "There is no way there is such a person. You have been deceived. I know my student. He is very experienced in cheating."

Zhang Shuwen was also very emotional, the inheritance of this master...

Anyway, the old man in front of me and Professor Tian across from him ended up having extremely bad relationships with their mentors. The most embarrassing thing is that these two people are both the most accomplished students of their respective mentors. If we look at it as a faction, this inheritance process

In the novel, it has almost become a tradition for the best disciple to turn against his mentor.

But he still shook his head and said affirmatively: "I can tell whether you were deceived or not. I believe that if you go there, you will come to the same conclusion. And even if it is a fraud, the other person is just a fifteen-year-old child.

You know, his mathematical derivation process is extremely rigorous.

And after I pointed out some errors and gave a brief explanation, he was able to quickly understand what I wanted to express, and immediately made corrections and simplifications to the original derivation process. If you want to say that this is a lie...that's just

It can be said that this child’s talent is even higher!”

The old man was stunned, and then asked: "What is the problem? Tell me how the child corrected it immediately."

Zhang Shuwen nodded.

This was also the reason why he didn't reply directly to the message on WeChat, because he knew that when he truthfully affirmed the talent named Qiao Yu, this would definitely happen to him in the end. So he combined Qiao Yu's guesses with the demonstration

The proof process is roughly written down.

"...here, he did not use the Riemann-Roch theorem, but introduced constants to derive the result hard. I simply told him the content of the Riemann-Roch theorem, and he made the following modifications..."Is this an on-site modification?"

"Yes, it will be modified on the spot. My explanation will not exceed three minutes."

The old man closed his eyes, thought for a moment, and said calmly: "There is probably only one possibility. His understanding of Schulz's theory is not at the technical level, but he has understood some essential mathematical things. He

I understand, but actually I don’t understand, or I don’t fully understand.”

This sentence was very mysterious, but Zhang Shuwen understood it, because the nature of mathematics is so mysterious.

However, Zhang Shuwen was not sure. He just nodded and replied: "Maybe, we can't see what's in the child's mind, but whether he understands it or not, it is enough to prove his mathematical talent. At least I can be sure.

The child’s talent is at least no worse than Schultz’s.”

The old man nodded in recognition, sighed deeply, opened his eyes with fighting spirit, and said loudly and firmly: "Shuwen, how can Tian Yan really teach such a student? How can he teach him?"

Can he teach well? He is not qualified to teach! Are you right?"

Zhang Shuwen took a deep breath...

Good guy, how should he answer this?

However, he can also understand that the old man has taught seventy or eighty doctoral students in his life, and it is enough to turn against the student with the highest achievement at that time. However, he has not yet trained a student whose achievements have surpassed him. It was his replacement.

Probably I will never be willing to accept it in this life.

Of course, that's fine if you just stay like this for the rest of your life, but after all, the world of mathematics is about strength.

If the student with whom I have the worst relationship wins the Fields Medal in the future and becomes a new generation leader in the field of mathematics in the future, how will history evaluate the merits and demerits of the two people when the final decision comes? Ordinary

People don't think about this because they don't have the qualifications, but this old man is really qualified to consider it.

As for whether they are qualified to teach, they are already their students, so they can’t be grabbed by force, right?

So Zhang Shuwen chose to remain silent. Speaking of this, it was a household matter belonging to his family. After all, Qiao Yu could be regarded as the disciple of the old man in front of him. Naturally, he would not make any comments. "You didn't ask for the child's contact information.

?" The old man asked again.
To be continued...