Xu Changshu went downstairs with a full stomach, and before leaving, he took away the exercises that Qiao Ze had written down casually.

After all, I was not convinced.

Analyze this ability at a glance...... If you look at it, maybe he has it too?

The five students stayed and watched Qiao Ze sit there in silence, not knowing what to think, and his emotions began to tense again.

This time I came to see Director Qiao, and everyone made a big decision.

It can't be helped.

Everyone does academics, not to mention that they have a clear name in history, at least they can't be notoriety all over the world at a young age, right?

In the future, when the representative tutor goes out for a meeting, others come to say, "You see, they don't even dare to send a paper to Professor Qiao", how hurtful is that? Do you want to lose face?

Just thinking about it is stressful, and no one wants to bear such a lifelong stain.

Who would dare to think that there would be a big harvest this time, and finally made their dear Director Qiao realize the problem of the ability gap.

Not everyone has that kind of miraculous talent for mathematics.

Just the twenty-year-old doctoral supervisor is also a unique explosion in academic history. So you really can't estimate their ability by your own ability.

It's really going to get into a loop.

Every time they listened to Qiao Ze's explanation, they felt that they might be able to do it, but instead let them solve the problem on their own, and the original form was immediately revealed.

If they continue like this, they will really lose their faith.

After pondering for a long time, Qiao Ze finally spoke: "What do you think is the most effective way to learn?" ”

"Uh...... That one...... For example, let's start with the basics? For example, like other tutors, you can recommend us to read some monographs first, so that we can lay a solid foundation on supercoiled algebra and transcendental geometry? ”

Wang Yu, who had also been thinking about it for a long time, took the lead in saying.

This is also a common idea.

Only when you really learn it and brush up on enough questions will you know that just the pre-existing knowledge required to fully grasp the supercoil equation is very complicated.

It's hard to imagine how solid Qiao Ze's foundation was to invent this system of algebraic geometry that abstracted mathematics to the extreme at such a young age.

In private, everyone suspected that their Qiao Dao's brain had definitely mutated, otherwise there would be no explanation at all.

"Oh, but it's going to slow down...... Well, it actually makes sense. Let's start with non-commutative geometry, which is often used for algebraic geometry problems in superhelix coordinate systems. I'm going to recommend a few books to you and give you a week...... A month, well, three months to read through these books, it should be fine. ”

When he said this, Qiao Ze was not sure, and postponed the time.

This made him feel like a quack doctor, after taking the pulse, when it came to prescribing medicine, but still did not know much about the patient's condition.

But the five of them were really relieved.

In the past, if they were suddenly exposed to a new geometry research direction, they might think that the mentor was a bit too much.

But after this period of learning that life is worse than death, Qiao Ze specially gave them some time to adapt to the pre-emptive geometric content, which only made people want to be grateful.

"No problem! I'll try to do it anyway. ”

"So do we!"

"Director Qiao, you can rest assured that three months will definitely meet your requirements."

……

"Hmm."

The statements of the five people made Qiao Ze feel a little more confident in his heart, and after thinking for a while, he said: "I won't be here for a group meeting in these three months." All you need to do is master the book. There's no need to research something new. After mastering these things, and then understanding some quantum physics, it should be much easier to solve the supercoil equation. ”

To learn these existing simple knowledge, there is really no need for a group meeting.

José didn't know how to teach either.

You can't always show a video in a group, right?

Everyone nodded their heads.

They are all doctoral students, and there is still some self-consciousness in this point.

If the instructor doesn't feel the need for a group meeting, it means that he doesn't need it.

"Go ahead." José waved his hand.

Several people looked at each other, then honestly said goodbye, and left.

After the students were gone, Edward Witten came to talk about sex.

"Problem solved?"

Qiao Ze glanced at Edward Witten, and originally wanted to talk to this bigwig-level figure about whether the content of the conversation should be leaked at will, but thinking that this matter was self-defeating, he roughly understood the level of understanding of mathematics in a normal person, and he felt unhappy.

So he nodded as usual.

"I don't understand it, but I can actually guess what they're talking about." Edward Witten chattered again.

Qiao Ze just glanced at him, not surprised.

Because he can actually do it too.

He only needs to pay attention to the expressions and some details of both sides, even if the language is not comprehensible, he can still guess eight or nine. Not to mention that today he specifically asked Edward Witten some opinions.

It's just that Qiao Ze is generally too lazy to bother with that brain.

It's always been like this, he rarely cares about other people's business.

Unless the person is close enough.

Although Qiao Ze did not answer his words, Edward Witten has adapted to Qiao Ze's arrogant temperament these days, and still said with great interest: "In fact, you are not destined to be an excellent mentor, you can't be good at guiding others, even if others teach you experience, you can't learn." ”

This time finally made Qiao Ze reply: "Why?" ”

"Because a good supervisor should at least be able to know the difficulties of a research direction and inspire students. This is a problem you can never solve. Because from your point of view, it's almost impossible to find the difficulty. And if you can all perceive the difficulty, it may be a peak that your students will not be able to reach in a lifetime. Haha......"

Edward Witten laughed as he spoke.

Not that gloating smile, but with a slight hint of self-deprecation, and even quickly added, "Do you know why Dugan was able to teach so many good students?" It's because he's not the kind of mathematician who has a lot of research ability and talent, so he's very good at inspiring others.

Even now, the level of engagement in the research he does is not high. It's more about relying on his signboard to help fight for funds. He was always unhappy with the judges at the time because he didn't win the Fields Medal, but the judges were actually fair and he didn't have many groundbreaking results.

In fact, I think he won the Wolf Prize mainly because there were his former students in the judges that year, and everyone gave him this consolation prize because of the face of his students. So you get the idea? You shouldn't waste time on things you're not good at. ”

Well, it would be too presumptuous to say that about Lott Dugan.

But if this person is Edward Witten, it seems to make sense.

For a scholar who pioneered the M theory, evaluating a Wolf Prize winner in mathematics does not have many groundbreaking achievements, and the other party can probably only admit it. A few words at most.

However, Qiao Ze just responded noncommittally: "Really? ”

"Hmm...... But I can actually understand the school's thinking. After all, supercoiled algebra and its corresponding geometry system were created by you. From this point of view, it is understandable for you to bring a group of students to study this system. But it's really hard for you to teach. Edward Witten commented.

"So?"

"So I think we can work together, Joze. In-depth, all-round cooperation! A comprehensive collaboration between the Institute for Advanced Study in Princeton and the Syllin Institute of Mathematics. We can send graduate students to each other for exchange studies, and we can also hold academic exchange events on a regular basis. You know, we also have a dedicated Joe's Algebraic Geometry research team. ”

Edward Witten has the answer.

This is an opinion that José had heard not long ago, and Lott Dugan had put it forward.

But last time I was with the Princeton School of Mathematics.

"In fact, Xilin Institute of Mathematics also has a special research team." Qiao Ze said succinctly.

"No, no, no, Joze, you're wrong. Your research team is completely guided by your ideas. Over time, there will be limitations. Because it's hard for them to think outside the box and complete the whole set of theories.

But it's different if we work together, and there will be more fresh ideas coming in, and maybe we can make the framework more complete in ways that you didn't think of yet. I'll admit you're strong, Joze, but one can't think so comprehensively after all, let alone focus more on new directions. ”

Edward Witten said seriously.

It seemed to make sense, but Qiao Ze still asked, "Then how do you guarantee that your team will not be affected by me after joining?" ”

"Because we're just collaborating, not joining. Most of the time, we're doing our own research. It's just a regular conversation. Even if some students are assigned to join each other's research teams, the mathematical ideas brought back are only at the level of discussion and advancement. ”

After Edward Witten finished speaking, he looked at Qiao Ze's noncommittal expression, and continued: "Okay, I admit, maybe we will take advantage of something, but what we are studying is only theory. As we've discussed, neither of us can rely on this theory to make a difference in the world anytime soon.

Even if we really find a way to control the direction of graviton motion in principle, and want to actually realize it, I don't know how many years later. I admit that scientists have borders, but this purely scientific theory does not.

It's like some patent inventions will choose to keep secret, but theoretical articles will never be restricted from publication. The impact of mathematical tools only plays a role in mathematical research, don't you think? José. ”

Qiao Ze nodded slightly, then shook his head again.

Edward Witten was a little confused, not knowing what this meant.

"Alright, Jozer, don't play dumb riddles, tell me what you think."

"Actually, I told you." José said.

"Oh? When? "This time for Edward Witten, I was completely confused.

"A long time ago. To put it simply, I don't hate this kind of collaboration, not because of your so-called nationality as a scientist, or because I'm afraid that you'll get the theory in the first place. And when it comes to application, I never thought about you having the opportunity to be the last to come, because you didn't do the most basic preparations.

Without material models, without strong basic industrial capabilities, without subversive creation and design capabilities, even if you master all the theories, you can't start designing. A simple gravitational control system also requires a series of advanced materials to cooperate, not to mention those gravitational energy conversion devices.

So it doesn't matter what you said, refuse any form of unit cooperation, just because you are too arrogant and lack respect! ”

Qiao Ze explained.

"Arrogance? Who has been arrogant in front of you and hasn't been unlucky? Ackermann of the University of Bonn chose to retire in his fifties and quit academia altogether; Robert Stephen just asked a stupid question at your briefing and has been locking himself in his office until now, not coming out.

Also, Lott Dugan already told you, right? You've been selected for this year's Breakthrough in Math Award. This is an international mathematics prize, and if there are no accidents, your name must be on the list of nominees for this year's Nobel Prize, and the Physics Prize is also yours, so where does the arrogance come from? ”

Edward Witten said in surprise, even a little excited.

In fact, for the Western academic community, there is enough respect for Qiao Ze.

There are some things that Edward Witten hasn't said yet.

For example, he flew half the world for Qiao Ze with a few words, isn't this still respectful?

Qiao Ze even thought they were too arrogant......

Is this a groveling plea for their cooperation?

Do you have to kowtow first in order to cooperate?

However, Qiao Ze was still very calm, and after thinking for a while, he said: "This is all appearance, or self-righteous respect, but the arrogance hidden in the depths, you are not aware of it at all. If you have to talk about this question, you can start with a small thing. ”

"Huh?" Edward Witten stared at Qiao Ze, waiting for an explanation.

"On my first night at XLI, I wrote a letter to a professor at the school about his thesis, in English. My roommate asked why I was writing in English.

My answer was that there were many concepts in his research that could not be accurately described in Chinese, so in order to ensure that I could accurately express my meaning during the discussion, I used English. ”

After hearing this answer, Edward Witten's mouth was half open, and he suddenly had some bad premonitions in his heart, because he felt that he was going to be successfully refuted by Qiao Ze.

And Qiao Ze's next elaboration proves the conjecture in his heart.

"Supercoil algebra and transcendental geometry, as well as the derived theories of dimensional functions, supercoil coordinate systems and even contained particle models, etc., many theorems and proprietary terms and explanations are defined in my Chinese.

But now, the "Annals of Mathematics" jointly compiled by the Institute for Advanced Study in Princeton and the School of Mathematics, as well as the website where you publish related research, not to mention that there is no special Chinese version of the place, and even the words Chinese cannot be found, do you think this is respect? ”

Qiao Ze said very calmly, not as excited as Edward Witten just now, and even his tone did not fluctuate, but when it fell into Edward Witten's ears, it exploded like spring thunder.

If that's the reason, it seems that José did mention it a long time ago.

Lott Dugan also said about what José said about this.

But no one took it to heart.

After all, English-language academic journals are the mainstream, and they should be in their minds.

He really didn't think about the Annals of Mathematics to publish a Chinese journal specifically for related papers, or to introduce a Chinese version of the content on the website.

After all, most of their research audience is fluent in English.

But now he felt that what Qiao Ze said made sense, and even began to feel ashamed. Even this angle is so strange that he doesn't know how to evaluate it, so he can only try to justify: "It's just using language, but in fact, language ......"

José shook his head, not wanting and not intending to accept Edward Witten's explanation.

"It's just a tool for expression, I understand it, I understand it, but respect is not lip service, and it's not those awards. Since I didn't need money, I didn't really care much about what others thought of my work and results. In addition to you, the Clay Institute, Harvard, Duke, ...... A lot of invitations, but these don't mean respect.

I can accept someone to be more proud, even arrogant, in front of me, but first his ability to gain my approval and surpass me in an area that I am concerned about. Otherwise, this casual sense of superiority will only strike me as ridiculous and stupid.

Out of the politeness that Uncle Li taught me, I could not laugh at this stupidity in my heart, but it was impossible to accept it. Uncle Li said that I should respect the world, but I always felt that respect should be mutual. ”

Edward Witten felt that he could not continue to debate this issue.

He even felt that Li Jiangao should be awarded a medal.

Otherwise, if it weren't for Li Jiangao teaching Qiao Ze the most basic politeness, he felt that he might be despised by this young guy every day.

No, maybe José wouldn't even allow him to appear in this office.

Because he really couldn't tell if he had inadvertently displayed what Qiao Ze called superiority.

"Okay, Joze, I see. Maybe...... Oh no, you're right. Some conventions, or inertia, are not necessarily justified. Perhaps we did subconsciously fail to give you the most basic respect, and I apologize on behalf of Princeton. ”

Edward Witten said seriously.

Qiao Ze nodded, noncommittal.

So Edward Witten continued: "I'll start working on this when I get back. It is certainly difficult for the Annals of Mathematics to establish a Chinese journal. Although the journal is run by Princeton, the board of directors of the publishing house does not necessarily agree.

As you say, there's pride and prejudice at work. However, the discussion of Joe's algebraic geometry on the official website of the institute will design a special Chinese version of the community for more accurate discussions of academic issues. ”

"Oh." Jozer nodded, then turned on the computer.

Now that the discussion is over, it's time to get down to business.

Edward Witten sighed in his heart, and the words of cooperation could not be said for the time being.

The good news is that the crux of the problem has been found.

Actually, if you think about it......

Wait, Edward Witten suddenly remembered that Qiao Ze's words just now seemed to mean something.

The most basic preparation?

Material model?

Gravitational field conversion system?

Gravitational energy conversion device?

What does Qiao Ze mean, Huaxia is ready?

Could it be that he already has a draft, how to conduct the experiment, the required laboratory instruments, the model of the energy conversion mechanism, and even the design of these instruments and equipment for new experiments or even the process of industrialization?

No way!

It shouldn't be possible!

The most basic theories have not yet been fully determined, and it is too far-fetched to start designing these advanced applications now.

But thinking that after Qiao Ze designed artificial intelligence, and then launched the reverse material model, Edward Witten felt strange again.

I wanted to ask, but thinking of Qiao Ze's attitude and the fact that these applications didn't seem to have anything to do with him, I still couldn't ask after all.

But then again, if the previous academic discussion between the two is sincere enough, then the problem of graviton direction is on the Planck scale, and the current research on the microscopic world is still at the atomic and subatomic levels, and strictly speaking, there is still a long way to go from detecting the Planck scale, let alone finding a way to manipulate it.

At least at this stage, it should be an impossible task.

So it should be that he thinks too much.

……

The day passed quickly.

Su Mucheng was particularly excited when she came to pick up Qiao Ze at night.

From Xiao Su's mouth, Qiao Ze learned that Uncle Li's wedding was well planned, and she had a very fulfilling day.

I also know that Uncle Li's father and father-in-law belong to the kind of people who seem to be very serious, and they don't seem to talk much. Uncle Li's mother is a kind aunt, and her mother-in-law is very good at talking, and she is embarrassed to praise her.

There is also cumin mutton cooked by Li Shuyue's mother, which is really delicious.

Before leaving, both of them gave Su Mucheng a big red envelope.

Of course, it didn't matter to the two of them how much money was stuffed into the red envelope, but Su Mucheng blushed and said that when Auntie wished them an early and positive result, it felt very sweet.

There are a lot of other words, too, and they are very dense.

It's all a trivial chore, and Jozer doesn't care about it, but he's willing to listen.

Even the other half of the brain is slightly distracted when thinking about problems, thinking that the mouth of the orange is very sweet, and it can always coax those uncles and aunts to be extraordinarily happy. That included his mom.

One of the things that Jozer likes most about Orange is that she never needs him to respond when she happily talks about trivial things.

Not only that, her words can always form scenes in his mind, making unfamiliar images concrete in his mind. It also allows him to experience those unique human emotions hidden in small details.

From this point on, the two are in tune.

Orange can always help him experience the warmth and coldness of this world and the bond between people in the shortest time.

It also gave the mind occupied by pure reason a little more human fireworks.

Qiao Ze even felt that it was good.

In addition, tomorrow he also prepared a wedding gift for Uncle Li that seemed very special to him, and I believe Uncle Li would like it.

The most valuable way to open the material science model is also time to meet with you.