On the other side of the ocean, it is already late at night or even early morning in most places.

But the discussion triggered by today's sudden update is still continuing.

Well, it can no longer be said to be a discussion. It can be said that the academic world has begun to have an earthquake.

Researchers engaged in mathematics may not subscribe to other journals, but it is impossible not to subscribe to the four top journals. Naturally, they are also very clear about the publication rules of the four top journals.

This kind of bimonthly magazine is almost never published in the first three days of the month, which seems a bit impatient.

Of course, this also made many people pay attention to the papers in this year's issue for the first time.

Especially among a group of scholars who study algebraic geometry and number theory, the impact of Qiao Yu's cover paper can even be said to be at the level of a nuclear explosion.

The reason is that the generalized modal axiom system proposed by Qiao Yu is actually a programmatic mathematical idea, and it is a highly creative and cutting-edge mathematical idea.

But at the same time, unlike the Langlands Program, Qiao Yu did not propose a series of conjectures, but directly set out to prove these propositions, reflecting very direct operational thinking.

Qiao Yu not only provides a theoretical framework, but also actively works to prove relevant propositions.

Similar to a path that combines theoretical research and verification, the process from concept proposal to theoremization is seamlessly connected.

To be honest, expanding the boundaries of classical mathematical thinking through a new axiomatic system is what every mathematician hopes to do.

For example, when talking about calculus, people will think of Newton and Leibniz, whose status in the world of mathematics is undoubtedly unquestionable.

In the same way, if Qiao Yu can improve his system of generalized modal axioms, this research method will probably become a required course for future mathematics students, just like calculus.

The reason is simply that these two words are easy to use.

Regardless of its abstractness, if Qiao Yu can enrich this axiom system, it will undoubtedly make many currently difficult problems simpler.

The key to this is the expansion of the tool library.

Many people don’t quite understand the meaning of tools in mathematical operations. In fact, to put it bluntly, they are theorems constructed by mathematicians using rigorous logic in papers.

For example, calculus, Fourier transform, Laplace transform, complex function, calculus of variations, sieve method, group theory, differential geometry, symplectic geometry, Markov chain, etc...

The current development of mathematics is that these mathematical tools can only play a role in specific fields.

However, mathematicians believe that these branches of mathematics are deeply connected. As for how this connection is reflected, no one has discovered yet.

Then there is algebraic geometry, which is nothing more than connecting algebraic equations with geometric curves.

In mathematical physics, symplectic geometry is used to study Hamiltonian dynamics, and its structure is also derived from mathematical symmetries and geometric transformations.

Even the subsequent Langlands Program, the most essential purpose of this program is to unify algebra, number theory and representation theory, and to establish cross-field connections by establishing a deeper mathematical tool framework.

The most successful part is that it provides a macro perspective that allows mathematicians to analyze the common laws behind these mathematical tools.

This has also led many people to believe and make judgments that the perspectives of different mathematical tools may be abstracted into a broader axiom system in the future.

To put it bluntly, Qiao Yu is currently doing such work, which can be regarded as a new attempt to unify mathematical logic tools.

Of course, one attempt may not cause any waves. Mathematicians have tried many things, but only a handful can really make an impact.

But there are no secrets in the mathematics community. The luxurious reviewer lineup of these two papers has long been spread.

After all, for these big guys, reviewing such a mathematical paper, which they collectively believe is logically rigorous, is not something that needs to be kept secret.

People who don’t want to be exposed are often the kind of papers that know clearly that this article is just a piece of shit, but because of the relationship, people come to ask for it, and they have to pinch their noses and pass the paper.

So the comment Dugan Lott helped Pierre Delini make up also spread.

"This will be the greatest milestone of this century, probably none of them!"

After the paper was published, a friend even sent a private message to Pierre Delini asking whether this comment was true, and Pierre Delini admitted it without hesitation.

He even said that Andrew Wiles thought he was right...

Yes, Pierre Delini now feels that Lot Dugan is his perfect mouthpiece.

Well, if it weren't for the paper that Qiao Yu gave a report at the Chinese Mathematical Society today, he might have used a joking tone to push Lott Dugan out.

But that's not necessary now.

Although Qiao Yu just gave a report at the Mathematical Society early this morning, Pierre Delini had actually read this paper on the prime number problem a few days ago.

It is still being studied even today.

After Tao Xuanzhi accepted the invitation of the Chinese Mathematical Society to jointly review this paper, he also had some in-depth discussions with Pierre Delini.

The two concluded that it was a very bold attempt to transform the distribution of prime numbers into a modal problem on a geometric path.

What the two admired most was that Qiao Yu’s paper drew on the idea of ​​the prime number theorem when constructing the modal density function.

This shows that Qiao Yu's generalized modal axiom framework has provided a brand-new tool for solving conjectures in classical number theory.

Yes, not possible, but already!

When the two people came up with this argument, Tao Xuanzhi directly posted this opinion on his personal blog.

Compared with those big celebrities, Tao Xuanzhi's blog may not have many fans.

But his fans are very pure. Whether it is the courses at UCLA, the open classes in MasterClass, or his status as the youngest Fields Medal winner, he has many fans in the mathematics community.

Moreover, his personal blog often comments on the papers of some well-known mathematicians, and the comments are very detailed.

Just like Zhang Yuantang's paper, he once commented on it on his personal blog, and even found many errors in it.

This once again promoted the spread of Qiao Yu's paper.

So as the day passed, Qiao Yu's paper began to spread widely in the Western mathematics community.

For Qiao Yu, what he gave at the Mathematical Society was just an abstract and preliminary manuscript submitted, because mathematics is not the same as calculation after all.

So Tian Yanzhen’s opinion is that he should submit the report directly to the journal, and even directly make a deal with Lot Dugan using this paper.

Of course, it was precisely because this paper had been presented at the conference that Qiao Yu not only directly entered the backend system after the report, but also directly posted it to the pre-publication website arXiv.

With Tao Xuanzhi's promotion on his personal blog, Qiao Yu's paper on bounded intervals between prime numbers immediately hit a peak in downloads.

Especially for mathematicians who study prime numbers, this is definitely the most exciting breakthrough in recent years.

Now that Qiao Yu can make the bounded interval between prime numbers reach 6, it means that it is not far away from completely solving this problem. Maybe they can even use the set of tools given by Qiao Yu to solve the twin prime conjecture, Bodoni

Asian conjecture, even Riemann conjecture...

In mathematics, there are generally two types of mathematicians who are most likely to be remembered by history. The first type is the founder, or the founder of a mathematical direction.

For example, Gauss pioneered number theory, algebra, and probability theory; Euler introduced analytic number theory, graph theory, and the Euler formula; Poincaré introduced topology and dynamic systems, and Goldbach's conjecture inspired the study of integer theory...

The second type is the coffin lid for a type of problem.

The most typical example is Andrew Wiles. Because he solved Fermat's conjecture that he didn't write down because there were not enough positions, even though he was over forty years old, the Mathematical Union specially got him a Fields Silver.

Quality Medal, and currently the only Fields Silver Medal in the world...

There is no doubt that even if someone solves the Riemann Hypothesis at the age of sixty, he will probably win this honor, turning the only Fields Silver Medal into two!

But to be honest, for mathematicians who have reached a certain age, they rarely have such unrealistic ideas to challenge those big propositions.

For example, the six millennium questions... Because everyone knows that if you challenge those questions rashly, there is a high probability that you will get nothing for the rest of your life.

If you spread the word and still get laughed at, you are overestimating your capabilities.

In fact, as mathematics has developed to this era where this branch is extremely detailed, there are many unsolved small problems. They prefer to focus on relatively more specific and controllable problems.

For example, Boolean mean, perfect matching, Hamiltonian path, equidistant set...

Really, as long as we don’t set our sights so big, the mathematics community can still accommodate many people to solve small problems. Such work is also extremely valuable and can even promote the development of some applied technologies.

But things are different now. The three papers made many people suddenly have some different ideas.

If you just look at Qiao Yu's first two papers, it is obvious that they focus on the general mathematical language problem of mathematical unification. It can only be said that the guy who tried to build this basic mathematical framework is indeed a genius, and he dares to think and do it!

But the third article directly reduced the interval from 246 to 6, which shocked many people as you can imagine.

If you can quickly master this new mathematical method and then solve one or two important problems in number theory, you can make a lot of money.

Even if he only proves the twin prime conjecture, as long as his age is not exceeded, he will most likely be awarded a Fields Medal.

If some more advanced number theory problems...

Some people even think that if Qiao Yu's system is successfully constructed, it may be able to solve problems such as the Riemann Hypothesis, the N-S equation, and even N=NP?.

Therefore, it is conceivable that the enthusiasm among the world’s academic circles is rising, and the impact is felt in all aspects!

…

Across the ocean, Berkeley.

As soon as Frank arrived at the office, he received a call from Lucas Eisen.

After a few simple greetings, Lucas Eisen got to the point directly.

"You should still remember Qiao Yu, right?"

"Of course, I think I will never forget him in this life. After all, he made me experience the biggest setback in my life, well, at least so far."

Although Professor Frank didn't think so in his heart, or he remembered Qiao Yu not just for this reason.

But obviously this excuse is almost airtight, and it fits the self-deprecating sense of humor of the Federation people.

Yes, more than ten years of living in the Federation has allowed him to integrate into this cultural system.

For example, everyone values ​​​​the most but in fact, it is impossible to get the G-spot without this kind of culture...

"Haha, Frank, so you should have been following him, right? Then you should have seen his latest articles, right?"

"Are you talking about the two articles he published? Yes, I have read them. They are very innovative. He also generously shared part of the credit with his collaborators."

"No, it's not just the published paper. It seems that you went to bed too early last night. You should go to arXiv to read his paper on bounded intervals of prime numbers.

Last night, a few of us old guys had a brief conference call. In fact, the entire academic community is very interested in his research!

If he is willing to join the Commonwealth Mathematical Society, there is no doubt that this year's Kohl Prize will be awarded to him. But one thing is certain, next year's Ramanujan Prize has been decided in advance for him, and everyone thinks that there will be no one better than him.

Suitable."

Lucas Eisen's words left Frank at a loss for what to say.

He paid attention to Qiao Yu's paper, but he hasn't finished reading it yet.

He attended a meeting last night, then went home and went to bed very early.

He really didn't know that Qiao Yu had once again disturbed the pulse of the world's mathematical community.

"you mean?"

“I mean, many old guys think that Qiao Yu’s system of generalized modal axioms will become the most important research direction in mathematics in the future.

Some people even think that Qiao Yu can unify number theory, algebra, geometry and representation theory through this theory. So if you still have any ideas, I suggest you try to contact him and join his project.

Although this seems difficult now, after all, there are many people who want to establish cooperation with him, but since you have had some contacts before, if you can express enough sincerity, you may be able to win some opportunities."

Frank took a deep breath. Of course he knew who those old guys Lucas Eisen was talking about...

In fact, most of the people who could communicate with Lucas Eisen in small-scale meetings were famous celebrities.

There are also barriers to entry in academia. For example, although he is somewhat related to Lucas Eisen, he is not qualified to participate in such small-scale discussions.

Do these people even think that Qiao Yu's generalized modal axiom system can achieve the unification of mathematics?

This really means that the things he can't get, for Qiao Yu, he may be able to reach them in the future.

You must know that so far he has only won the Halmer-Ford Award and the AMS Outstanding Teaching Award.

They are all small awards from the Federal Mathematical Society, and one of them is for teaching rather than scientific research.

He has published many papers in top journals, but rarely have they been discussed exclusively by so many big-name figures.

At this time, Frank felt that this world might be a false world.

The things he wished for were within easy reach for a sixteen-year-old child.

What made him even more speechless was that this sixteen-year-old child was almost certainly his illegitimate child!

Really, if he had known earlier, he would still be working so hard! It would be better to stay in China and give birth to this child with his first love.

Then while studying, he cultivated Qiao Yu into an adult. Frank felt that with his ability, it would not be difficult to become a professor or researcher in a Chinese university or research institute.

The next step will be easy, because as long as he is raised to the age of sixteen, this guy seems to know everything, and then he can take off directly.

Yes, having a Fields Medal grandfather, Frank understands better than the average person how much enjoyment it would be if someone took you flying.

You don't need to think about so many messy things. As long as you have results, you will definitely be able to take off, even if the results are not that good.

For example, the guy named Chen-zhuoyang is obviously the type who is being led away by Qiao Yu.

Now he has to compete with others for the place to cooperate with his son. Even if he thinks about it in his mind, Frank feels that life is really too ironic!

This also made Frank regret for the second time. Maybe he should have had a good talk with Qiao Yu about this matter after meeting Qiao Yu at the World Congress on Algebraic Geometry last time.

If he had told Qiao Yu frankly last time that he was his father, maybe the papers he had studied would have been the same!

Although China doesn’t quite recognize this, the international academic community still does! The father and son worked together to create a brand new system of mathematical axioms, and even contributed to the unification of mathematics, which will surely become a milestone in the history of mathematics...

"Hey, Frank, are you still there?"

The voice coming from the receiver of the mobile phone interrupted Professor Frank's thoughts... It was obvious that the old man opposite was a little unhappy.

"Oh, I'm here. I'm sorry. I was just looking for the paper you just mentioned on the computer. I can't wait to see his results. Like you said, maybe I should contact him, if possible.

, being able to join his research group..."

Apparently this reason made the old man opposite feel more relaxed, and when he spoke again, he no longer had that impatient tone.

"Yes, you can do some research first. Good communication starts with academic recognition. By the way, you can ask him if he is interested in joining the Federal Mathematical Society.

Of course, I am not saying that you can successfully register by filling out an application and paying the membership fee online, but that many senior members, including me, are willing to write a letter of recommendation for him.

Moreover, the editor-in-chief of JAMS, Professor Kostenbad, is very optimistic about Qiao Yu. He heard that the status of professors doing basic mathematics research in China is not very high, and he hopes that Qiao Yu can come to work in the federation.

You can talk to Qiao Yu about all this, but he is only sixteen years old, so you need to master some methods."

Although he couldn't see it from the other side, Frank nodded subconsciously before replying: "I understand."

…

After hanging up the phone, Frank immediately started looking for Qiao Yu's latest paper on the Internet, and took a look at other mathematicians' evaluations of Qiao Yu on academic forums.

Soon he saw the comments from Tao Xuanzhi and Pierre Delini.

How should I put it... Anyone who is involved in the academic circle knows that whether it is the Federation looking for investment, or China applying for various projects or funds, for the judges, many times they are not only looking at the magazines published, but also external evaluations.

.

Even if a paper is only published in an ordinary journal, but this paper is publicly evaluated as having made some important progress by a Fields Medal-level boss in a formal forum, it means that it will take up an important role in any review.

Absolute advantage.

Because this kind of public evaluation is, in a sense, a kind of academic affirmation using one's own influence.

Therefore, it is generally rare to hear those math giants comment on other people's results through public channels, such as personal blogs, ins, or when giving reports at various academic conferences.

Even if it is said occasionally, it is usually in more conservative terms, such as very promising work, or ideas worthy of further research, and the like.

But this time Pierre Delini actually said: "This will be the greatest milestone of this century, probably none of them!"

This is no longer a simple recognition, it can be said to be a public academic endorsement! The high public recognition from top mathematicians can almost be said to be above the traditional evaluation system.

The moment he saw this comment, Frank realized that Qiao Yu would most likely quickly enter the core circle of academia. No wonder Lucas Eisen said that it might be difficult to cooperate with Qiao Yu now...

This might be extremely difficult.

He even suspected that Qiao Yu's mailbox was already filled with emails asking for cooperation!

At this time, Frank began to wonder whether he should contact Qiao Yu in some direct way...such as making a phone call.

After all, if he just sent an email, he doubted that Qiao Yu would even read it!

…

This seems to be the case.

The annual meeting of the Mathematical Society is not over yet, but for Qiao Yu, it is almost over.

At noon, he still thought about walking around with Senior Brother Chen in the afternoon, but in fact he didn't even have time to send Senior Brother Chen a WeChat message throughout the afternoon.

From afternoon to evening, there was an endless stream of professors who approached him for academic discussions. During this period, more than one person expressed the hope of cooperation.

Even the other report sessions were much deserted.

If Qiao Yu just wanted to make an advertisement before, obviously the effect was unexpectedly good.

Qiao Yu has also begun to doubt life. He wonders if these people have never eaten fine rice bran...

It was just a periodic article, so why did everyone suddenly burst out with such enthusiasm?

He hasn't solved the Riemann Hypothesis yet, no, he hasn't even completely solved the twin prime conjecture.

Nowadays, every professor is so enthusiastic. When he really solves those well-known conjectures, won't these people go crazy?

Well, at this time, Qiao Yu didn't know that several Fields Medalists had transformed into Qiao Chui and were bragging about his achievements in their own ways.

If you knew...

You might think that these big guys really know their stuff.

However, at eleven o'clock at night, after finally sending everyone away, Qiao Yu still inevitably felt tired.

Of course, this is normal.

I gave a report in the morning, and in the afternoon and evening, except during meal time, I kept talking to other people and dealing with many problems...

If you can't understand it, you can imagine what it feels like for a teacher to work an extra day. Although people don't move much, their brains need to keep spinning and talking...

What was supposed to be mental work was turned into physical work. That is to say, he was only sixteen years old and was still the most active in his life. If it had been Tian Yanzhen or Yuan Zhengxin, his physical strength would have been unable to keep up.

"It turns out that Director Tian was protecting me yesterday. Alas... I wrongly blamed Director Tian! It's terrible how enthusiastic these professors and researchers are!"

Qiao Yu complained to Qiao Xi. There were only mother and son left, so naturally she could speak more freely.

"Well, it's good to know." Qiao Xi replied casually.

Although it was a bit noisy, she wasn't the one surrounding her anyway. As long as she put on her headphones, she could ignore all the noise.

"Hey... you said that so many schools have invited me to give reports, should I go? Go, it will waste time, after all, I am very busy; don't go, they are so enthusiastic and sincere...

Sure enough, it’s a sin for a person to be too good!”

Qiao Yu habitually praised himself in a self-pitying tone, and then looked at Qiao Xi...

Just Cha Ming said: "What are you waiting for? Why don't you praise me quickly!"

But unfortunately, Qiao Xi just smiled and said: "Yes, yes, it is the icing on the cake for outstanding people. You published a top-notch paper and solved a problem that everyone thought was difficult, so these are

You deserve it.

Don't worry, if you win a prize in the future, more people will invite you to give lectures. Then we can just live like this for the rest of our lives, and it feels quite comfortable."

Qiao Yu glanced at Qiao Xi and said, "Why are you so hopeless? I want to do big things!"

"Oh, you still remember? That means you are still on the road, so do you still have to ask me what you should do now?" Qiao Xi said casually.

Well, standard heuristic education.

The key is that Qiao Yu actually thinks that Qiao Xi is right. It can only be said that Qiao Xi knows how to PUA him...

"I was born by you, so you are right!"

Qiao Yu replied in a lukewarm tone, and planned to go to bed for a quick break.

There was nothing he could do about it. With Qiao Xi by his side, he couldn't even think of not practicing hygiene occasionally.

Qiao Xi would not scold him or hit him, but she would always stare at him with that incredible look, as if to say: "What the hell did I give birth to?"

Qiao Yu always felt that this was probably the reason why Qiao Xi's music teacher thought she could become an actress.

Those eyes really seem to be able to talk. Of course, it may also be because his brain is more flexible and he is particularly good at making up his mind...

But before he could enter the bathroom, his cell phone rang.

Well, this person is quite rude. He is still on the phone after 11 o'clock in the evening.

Hey, it’s still a foreign number...

After answering the phone, Qiao Yu greeted him naturally: "Hello?"

"Hello Qiao Yu, I'm Frank, remember? We met at this year's World Congress on Algebraic Geometry."

Qiao Yu was stunned for a moment, then subconsciously looked at Qiao Xi...

Looking at the question asked by the other person, he is so unconfident... After all, he is Professor Frank. He remembers it so well that he can never forget that...
Chapter completed!