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Chapter 153 What bad intentions could I have? I just wanted to give you a surprise...

Unfortunately, the two papers were not included in Ann.Math in September, but were delayed until early October, the third day of the National Day holiday.

The main reason is that Qiao Yu always sticks to principles and does not manually revise the manuscript for Brother Chen. Instead, he finds out the problems and then sends it back. After the revisions are made, Qiao Yu will take a look at it.

After repeating this three times, Qiao Yu was finally satisfied.

There is no other way. It is more troublesome in the early stage, so that it will be easier in the later stage. The first time we cooperated on the paper, we let Senior Brother Chen fully understand the standards, so that he can be more strict with himself next time.

People's habits are developed through repetition again and again.

Qiao Yu did not tell anyone about this submission, including Director Tian and Professor Yuan. On the one hand, he wanted to give the two elders some surprises, and on the other hand, he was now the head of the research group, and if he wanted to be decisive, he couldn't report everything.

As for Chen Zhuoyang, he would not say anything. This was his first time submitting a paper to one of the four top mathematics journals. If it was not accepted, some people might not only laugh at him in their hearts, but also say it out loud.

According to his internal literature search, Jinzhou University has so far only published one paper in the Journal of the American Mathematical Society, one of the four top mathematics journals.

And this was before Jinzhou University moved the School of Mathematics from the School of Science and established a separate School of Mathematics.

In other words, if his article can really be published in Ann.Math, he will be the first lecturer to publish a paper in the four top mathematics journals since the establishment of the School of Mathematics of Jinzhou University.

With this achievement, I think Dean Zhang who still wants to play tricks on him should consider the consequences.

He even has articles published in top journals. Given his age, he might even have a chance to compete for the titles of Changjiang Scholars or Young Outstanding Scientists.

Of course, Chen Zhuoyang did not do this without effort. Without enough sleep, people naturally look decadent, and if they are met by people they don't like, they will inevitably say a few words.

It's just that Chen Zhuoyang has become even more taciturn at school during this period. Apart from attending classes on time and attending some school meetings, he hardly interacts with other people.

The main reason is that he doesn’t have the time. After all, he spends all his spare time on verification work.

Qiao Yu did not disappoint him. Facts proved that the results deduced by his junior brother could all be verified.

The next step is to wait.

But this doesn't mean Chen Zhuoyang can relax. In fact, he just took a good rest for two days before starting the next round of work.

There is no way. In Qiao Yu’s words, these two papers are just a starting point in the first phase, and there is still a lot of verification work to be done.

After all, an article in a top magazine can only make some people shut up. Only by publishing more articles can those who want to vent their anger on him know how stupid their ideas are and feel the pain of a slap in the face!
Chen Zhuoyang deeply agreed with what his junior brother said. He had no choice but to slap some people in the face.

Then there was the indescribable gratitude. After all, he really never thought that Qiao Yu would do this for him.

Really, Chen Zhuoyang had previously thought that Qiao Yu would get him a few second-place titles in top magazines, but who would have thought that Qiao Yu was actually thinking of feeding him first-place titles.

Although Qiao Yu never said it, Chen Zhuoyang knew that there was actually no problem in combining the two papers into one.

Putting theoretical derivation and verification in one paper will actually make the paper look more complete and easier to review.

At least for Qiao Yu, there is no need to split it into two papers, not to mention that it is for him to be the first author with confidence.

He didn't even know how to thank this junior fellow apprentice.

But from Qiao Yu's perspective, he really didn't think there was anything wrong with it. After all, Qiao Yu always believed that if someone helped him with work, he should give them some benefits.

When he was in junior high school, he told his deskmate Zhou Shuang that if you find that you can neither gain happiness nor material benefits from doing something, you should withdraw from it as soon as possible.

Qiao Yu has always felt that this is a truth. Anyone with reason will definitely understand it.

So putting himself in other people's shoes, since he wanted Senior Brother Chen to do his best to help him produce results, he should naturally give him enough benefits.

However, Qiao Yu had no money, so he could only give up his reputation. Not to mention that this arrangement was definitely the best way to maximize his benefits.

He is still the first author of important papers, and even the second author of a top journal.

Although second authorship is not widely recognized in China, it is still recognized abroad. In addition, you don’t even need to pay page charges to publish articles in the official journal of Ann.Math, which is simply a zero-cost business.

In short, no one felt disadvantaged in submitting the paper this time. Even Lott Dugan was at least happy in his previous communication with Qiao Yu.

This is probably the legendary win-win, almost perfect, no-lose project. Of course, the premise is that the paper can really be published...

……

Princeton, USA, is a city where research institutes, universities and communities are intertwined.

It was a clear and crisp autumn day, and Lott Dugan was sitting in the sun, basking in the warm autumn sun.

The bald old friend across from him was carefully flipping through the paper in his hand. Lott Dugan was sipping coffee in the sunshine and leisurely watching the students playing on the lawn next to him.

It's like appreciating a painting called youth.

Yes, Lott Dugan actually enjoyed taking some time to watch these young kids and do whatever they liked, which was obviously much more interesting than attending those long and meaningless administrative meetings.

At least that's what he thought. After all, Lott Dugan always felt that the people who controlled the Princeton board were not very smart, and there was no room for rebuttal.

After a long time, the bald old friend next to him finally put down the two papers.

Noticing this action from the corner of his eye, Lot Dugan asked with a smile, “Haha, Pierre, when you were working on the module space structure fifty years ago, did you ever think that one day someone would delve into this problem to this extent?
Tell me, you must think that Andrew's proof of Fermat's Last Theorem, which you provided with the key mathematical framework, was the pinnacle of your life, right? "

Yes, this bald old friend is Professor Pierre Delini, one of the most powerful figures in the world of mathematics, whom Qiao Yu had met once at the World Algebraic Geometry Congress.

The Fields Medal, the Abel Prize and many other awards are enough to demonstrate his contribution. In particular, his research on modular forms has provided many useful tools for later mathematicians, including this paper by Qiao Yu.

For example, in the derivation of Qiao Yu's related theorem, the single value proposed by DeLigny was directly used. When defining the modal distance, DeLigny's geometric analysis of Galois representation was directly used.

After all, the framework proposed by Qiao Yu was originally intended to geometrize number theory, and in terms of its goals, it was somewhat consistent with Delini's previous research direction.

Pierre Delini ignored the noisy Lotte Dugan, put down his paper and closed his eyes.

He is still thinking about this framework that defines all numbers as elements. Numbers no longer represent a single value, but a point in a multidimensional mode, carrying rich attributes and relationships...

This is not just a mathematical change, it can even be understood as a philosophical leap.

From a traditional mathematical perspective, numbers only represent a static point or value, but now the authors of the paper have directly endowed numbers with modal properties, so numbers have become dynamic and multi-dimensional entities.

In the future, number theorists will no longer study numbers themselves, but the behavior and interactive relationships of numbers as elements.

Not only is the design genius, but it's also crazy enough!

The only pity is that the paper is too short. It only contains the most basic definitions.

He had just begun to wonder whether this modal space could capture more complex group-theoretic symmetries between numbers?
For example, can the branching behavior of Galois representations find a direct correspondence in modal geometry?
Just thinking about this gave me a headache. And Lott Dugan next to me was still chattering away.

"Hey, Pierre, don't you want to know who the author of the paper is? You can ask me, and I might be able to tell you before you review the paper."

Pierre Delini opened his eyes, looked at Lotte Dugan beside him, and growled in a low voice: "Can't you be quiet for a while, Lotte! Who else but that kid Qiao Yu could write an article with such a distinct personal style!"

Lott Dugan was obviously surprised and asked suspiciously: "Is the personal style obvious? Why didn't I see it?"

Of course, Pierre Delini would not tell his good friend that he had actually heard from other people that Qiao Yu was doing related research.

Yes, Tao Xuanzhi had already sent him an email to discuss the feasibility of Qiao Yu's idea.

So he said frankly: "Because you always fail to see the deeper connections, this is why you failed to win the Fields Medal. Qiao Yu's ideas in mathematical research have always been bold and radical!"

Lott Dugan was silent... and then said, "But there are two papers. So you can only be half right at best."

He was despised, but there was nothing he could do. He did not win the Fields Medal. But he did win the Abel Prize and the Wolf Prize. Unfortunately, the other party also won these two awards, and the time was earlier than his...

"I don't understand why we have to publish two papers? The two papers together are only twenty-five pages." Pierre Delini couldn't help but complain.

From his point of view, interspersing the verification of the second paper into the first paper will make the entire paper look more well-argued and complete.

"Because he felt that more opportunities should be given to other members of the research team. I think this reason is great!" Lott Dugan gave an unacceptable reason.

Facing Pierre Delini's inquiring gaze, Lot Dugan spread his hands and added: "Well, actually this is a very simple truth. Geniuses are privileged. Think about when you were young. Have you ever been willful?"

It has to be said that this reason left Pierre Delini speechless.

Yes, when he was young, the big guys were indeed very tolerant of him.

Alexander Grothendieck, Jean-Pierre Serre... and many other mathematical masters of the time provided him with a lot of help.

Even after Grothendieck retired from mathematical research, he still gave him a lot of help on the Weil conjecture and always supported him in conducting independent research.

You should know that in the last century, this kind of multi-field research spanning algebraic geometry, number theory and representation theory was not mainstream. At that time, both his mentors and his colleagues were almost infinitely tolerant of his ideas, which enabled him to achieve his later achievements.

"Okay, I will review both papers as soon as possible. Also, Professor Tao Xuanzhi is very interested in Qiao Yu's research, if you haven't found a more suitable reviewer yet."

Pierre Delini finally said this.

"Tao Xuanzhi? Well, I have to say that he is indeed a good reviewer. There are also Peter Schultz, Andrew Wiles, Richard Taylor, Andrew Granville, and you, a total of six reviewers, which is just enough."

Lott Dugan listed the reviewers he had chosen one by one.

Pierre Delini nodded. He had to admit that Lotte Dugan, the editor-in-chief of the Annals of Mathematics, was indeed professional in selecting reviewers.

The reviewers include experts in number theory, experts in algebraic geometry and the Langlands Program, experts in modular forms, cross-disciplinary mathematical thinkers, and an expert in computational and experimental verification, which is sufficient to conduct a comprehensive review of this paper.

Yes, it is not common for a paper to have six reviewers, and Pierre Delini feels that these two papers do deserve such careful treatment.

After all, this means that number theory research will enter a completely new field starting from this, no, these two papers.

After approving Lotte Dugan’s idea, Pierre Delini asked, “Have they all agreed to serve as reviewers for these two papers?”

Lott Dugan looked at his old friend with amusement, and replied with a smile: "Of course, except for Tao Xuanzhi, whom I have not informed yet, everyone else has agreed.

I told them that your initial assessment of the paper was that if it was correct, it would be the greatest landmark work of the century, bar none. So don’t give it away.”

Pierre Delini was stunned for a moment, then his expression quickly returned to normal...

This damn guy, he swore that he had not said this sentence before. After all, he had just finished reading the paper preliminarily and had not yet carried out in-depth calculations and derivations.

"I made a note of it, and if he's right, I'll say it again next time in public."

Pierre Delini glared at Lot Dugan and replied.

Well, having a friend who knows him well is actually not bad, because he thinks this comment is actually very...appropriate.

If in the end no one can find any mistakes or omissions in the article.

……

It takes time to build an important axiomatic system framework, it takes time to prove it, and it also takes time to hand it over to reviewers for verification.

So after Qiao Yu submitted the article, he no longer paid attention to this matter.

On the one hand, the research has just started, and he needs to continue to move forward. Next, he will introduce some more complex concepts.

For example, modal convolution requires advancing the two-dimensional modal space to the three-dimensional modal space.

The process of moving from two dimensions to three dimensions is also complicated, and the work that needs to be proven is more complicated.

However, what is more complicated is actually the verification work rather than simple proof.

Qiao Yu learned from Lott Dugan that his paper would be reviewed by at least four or five reviewers, and he could roughly judge that the paper would be published at the earliest in late December, or even next year.

Even if the reviewers are very diligent, it will take about two months to review the manuscripts, and then the manuscripts will be typeset. According to Qiao Yu's plan, after the first batch of papers are published, the second batch of papers will be submitted, which means there will be three months to do the next stage of work.

Obviously, this time can be said to be quite ample.

Qiao Yu still plans to divide the second batch of papers into two, and he and Senior Brother Chen will still be each other's first authors.

The reason is very simple. If someone occasionally gets an article published in one of the four top journals, people will think that he is just lucky.

But if he can continue to publish top magazines, some people will realize that this big guy must be worshipped...

By the way, he can also advertise his own subject. As he told Lott Dugan, it might take him more than ten papers to build the entire framework.

The workload in the early stages is not that large, but once group theory and graph theory are introduced into the framework, various verification tasks will increase exponentially.

The reason is very simple. After introducing these complex theories, the modal space must be pushed to a higher dimension.

When group theory and graph theory are extended to high-dimensional modal spaces, the workload of verifying each theorem will increase exponentially.

In the simplest case, verifying the group symmetry of a modal path might require checking the correlations in all dimensions.

Not to mention that group theory and graph theory themselves belong to different branches of mathematics, and integrating them into the same framework requires proving some cross-domain properties, such as the role of group representations on modal paths.

The workload has increased exponentially. Even if Senior Brother Chen sacrificed all his hair or even worked himself to death, it would be impossible to complete the complicated verification work in a period of time measured in months.

So on the one hand, Senior Brother Chen can get what he wants, and on the other hand, Senior Brother Chen is also a living advertisement for the research team to the outside world.

You see, coming to Qiao Yu's research group, publishing in top journals is like a piece of cake, and you can even publish two or three papers a year.

Qiao Yu wasn't even worried about not being able to divide the work.

The reason is very simple. After continuous expansion and supplementation over this period of time, Qiao Yu feels that this axiomatic system can be made into a highly axiomatic and modular theory.

For example, after he completes the proof work on the group theory module, the verification of various work introduced by group theory can be divided into several papers.

Symmetry groups and geometric structures of modal spaces, group orbits and periodicity of modal paths, the role of group representations in multidimensional modal spaces, group-theoretic verification of modal convolutions, the impact of group actions on modal density functions, group-theoretic descriptions of modal spaces for specific number theory problems...

If you really think about it, Qiao Yu can find a bunch of research directions, and each direction involves an independent problem or tool, all of which are indispensable.

And he has good reasons for this classification, because if all these propositions were concentrated in one paper, it would be too big and not conducive to dissemination.

Separating them can actually make the content more concise, so other mathematicians can find the required literature more accurately when they need it.

These propositions are enough to feed a large research group. Just like what he said to Lao Xue before.

What if one day you become a leader in mathematics and control countless resources, but at the same time you have two close people with similar achievements and there is only one position?
Qiao Yu's answer at the time was to make the cake bigger. If it is so big that people around you feel they can't finish it, then there will be no such ridiculous problem.

Of course, the cake also has to match the ability. In the later stage, only those with ability can get the research topic, and those who successfully verify can get the position.

If you can't do it, I'm sorry, you will naturally be eliminated by the research group.

With this large team to carry out complex verification for his theoretical framework, he can find time to complete the proposition that Professor Tian asked him to do before graduating with his doctorate.

For example, the twin prime conjecture and the Riemann hypothesis.

Of course, Qiao Yu did not make these ambitions public. He did not even mention these things to Director Tian and Mr. Yuan. After all, there was not much work in the early stages, so it was relatively easy.

Now no one thinks that this topic can be published in several top journals within a year.

In short, this is Qiao Yu’s plan. The workload in the early stage is relatively small, and he can attract the interest of the academic community through several core theoretical and verification papers.

The subsequent complex verification work gradually let everyone know that he intends to build the entire framework into a comprehensive and rigorous research system.

The later the process progresses, the more difficult it will be, but the partners attracted will naturally be more powerful. This will be a long-term process and a process of continuous integration of resources.

He just needs to ensure that the whole process is healthy competition and development.

As for the purpose of this long-term planning...

In fact, the reason is very simple. Everyone knows that Qiao Yu is a person with extreme talent, but in fact, most people don’t know that Qiao Yu’s talent is not limited to mathematics, but even science.

He is very good at observing and summarizing everything in life, and he is determined to do something either without doing it or to do it to the extreme.

For example, Qiao Yu is very clear that what he lacks most in the mathematics community is not talent, papers, achievements, or even those random awards, but qualifications and background.

After all, he is confident that he can obtain other honors when he is young, but qualifications and background are different, which can generally only be filled slowly over time.

His mentor Tian Yanzhen, his grandmaster Yuan Zhengxin, Lot Dugan, even that man's father-in-law Michael Eisen, and those big guys, their ability to have the final say is not just based on their own honors.

Moreover, their students are spread all over the world in universities and research institutes. Many of their outstanding students have also become masters of mathematics...

Editorial board members or even editors-in-chief of journals, members of the review committees of major awards and scientific funds, and project leaders of universities and research institutes.

It is like a network that brings these people together into a seemingly loose entity with common interests. As long as there is a need, they can often burst out with great energy.

Qiao Yu can't wait that long.

When he graduates and becomes a professor, he can teach students, and he has to wait for his students to grow up...

He was already old by then!

Slowly build this theoretical framework, and attract a group of people who already have a certain say in the academic world to your side, both domestic and foreign...

Everyone's core interests are the same. After all, with the help of Qiao Yu's topic, they can have a greater say.

The next step is easy. In just a few years, the people around him will become his megaphones, and even a whisper from him will be deafening. This is the way to go.

……

Of course, the above are just Qiao Yu’s long-term plans, and there is no need to consider so much at the moment.

All members of the research group have taken care of him until he is at least 18 years old. There is still more than a year from now, so he still has plenty of time to study.

The only thing that made him unhappy recently was that when everyone was busy and fulfilled, Mr. Yuan actually arranged for Qiao Xi to go out for a trip during the National Day holiday.

Yes, it is travel in the literal sense, and it is holiday travel, the kind that goes around to join in the fun.

The reason was that I felt that Qiao Xi's life was too simple and boring, and he was not good at communicating with others. This could only be improved if he went out more often and interacted with people.

Qiao Xi actually went there...

Well, it doesn’t matter. Considering that Qiao Xi has never gone out to have fun, life should indeed have a balance between relaxation and tension.

In short, the National Day holiday was over quickly and Qiao Yu was called to the office by his tutor again.

"The date for this year's Mathematical Society Annual Conference has been set. It will be held from the 2nd to the 6th of next month. You will give a 4-minute presentation on behalf of Yanbei University for the second special lecture on the morning of the th."

The unquestionable tone completely stumped Qiao Yu.

"No, Director Tian, ​​um...what should I say in the 60-minute report?" Qiao Yu asked subconsciously.

I can't just repeat his paper on the geometric Langlands conjecture at the World Conference on Algebraic Geometry.

"Let's talk about your modal space theory. Both Mr. Yuan and I think this will be the most important direction for future research in number theory and geometry. We also helped you get this opportunity.

You withdrew the project you applied for last time, but you have been waiting for so long. Write a paper outlining your idea and submit it to the organizing committee for review. Don’t underestimate the annual mathematics conference, it is already the top academic conference in China.”

Tian Yanzhen directly helped Qiao Yu choose the topic.

Qiao Yu felt a little blind...

The first time I submitted my paper to a top journal, I didn’t report it to my supervisor, and it ended up happening at a mathematics society conference?
The key issue now is that he has already submitted the paper to Ann.Math, and according to the feedback from the backstage, the editorial department has only been in the peer review process for two days. It seems a bit inappropriate for him to report on an unpublished paper at the conference at this time...

As if he could tell that something was wrong with Qiao Yu, Tian Yanzhen frowned and asked, "What's wrong? You haven't done anything in the past month, have you? Even if you haven't done anything, is it difficult for you to complete an overview paper and submit it to the committee for review in more than 20 days?"

Qiao Yu shook his head and replied, "Well... Director Tian, ​​I was planning to give you and Professor Yuan a surprise... I have already written the paper you mentioned and have submitted two to Ann.Math. They are both in the review stage now."

These words really confused Tian Yan.

He knew that Qiao Yu wrote the paper very quickly, as if all kinds of inspiration were always haunting him, but he didn't expect it to be so fast.

It hasn't been long since this guy finished his paper and submitted it to Ann.Math?

Wait... something seems wrong.

Tian Yanzhen frowned and confirmed: "You just said two articles?"

Qiao Yu nodded quickly and said, "Yes, two papers. One for me and one for Senior Brother Chen. It's a bit inappropriate to talk about the paper at the conference before it's officially published. You can't submit the same paper to two different places, right?

I can certainly write another paper, but if I don’t talk about the prerequisite theorems, I’m afraid people won’t understand what I’m trying to say at the conference.”

There was silence for a few seconds in the office, and Tian Yanzhen was so angry that she laughed...

"Brother Chen? Chen Zhuoyang? He also has an article? Okay, okay, okay, send it to me."

Well, actually, it’s not very polite to ask for an unpublished paper, but considering that this was a request from his own supervisor, Qiao Yu didn’t waste any words and obediently ran to his supervisor’s computer to operate it.

I quickly downloaded the two papers from the attachment library of my email.

“I am the first author of this article, “The Fundamental Theoretical Construction of the Generalized Modal Number Theory Axiom System”, and Brother Chen is also the first author of another article.”

"Let me take a look at your submission background..."

"Oh……"

Soon, the background confirmed that the paper had indeed reached the stage of finding reviewers. After all, the Under Review would not lie.

Tian Yanzhen glanced at the submission time and could only say that the editorial department of the Annals of Mathematics was very fast. It took only two days to find reviewers, which was extremely fast for an editorial company of a top mathematics journal.

The main reason is that Tian Yanzhen didn’t know that the reviewers were all invited by Lotte Dugan himself, and he directly used Pierre Delini’s evaluation... Naturally, everyone would give him face.

Without wasting any more time talking to Qiao Yu, Tian Yanzhen spent more than ten minutes skimming through the two papers and immediately understood what the situation was.

He put down the paper, glanced at Qiao Yu, and said, "You are really good to Chen Zhuoyang."

Qiao Yu grinned and said, "Hey, this is just for your sake. My senior is your student. He has been having a hard time at Jinzhou University recently, but he is too embarrassed to tell you, so I have to help."

"Oh? Is it difficult? What's wrong?" Tian Yanzhen frowned and asked.

"Oh, you don't know..."

Qiao Yu immediately reiterated what Chen Zhuoyang had said to him, and added some extra spice to it.

Finally, he concluded indignantly: "… This is probably the situation. Brother Chen is being bullied for being too honest. If I were to go there, I would definitely make them look terrible!"

Tian Yanzhen nodded without telling whether he was happy or angry, then glared at Qiao Yu and said, "Alright, but the report on the morning of the 4th cannot be replaced. Think about what kind of paper you can write. Give it to me before the 25th!"

"The 25th? Are you sure?" Qiao Yu was stunned.

Tian Yanzhen sneered and said, "What else? After submission, it will still need to be reviewed by the committee. Do you think you can go up there and talk nonsense? Hurry up and get ready! You can submit to Ann.Math yourself, so how can you be stumped by such a small problem?"

Feeling that his mentor seemed really unhappy, Qiao Yu could only nod aggrievedly and muttered: "Well, I'll try my best. But, I really wanted to give you a surprise..."

Is this a surprise?

This is really scary!
　Thanks to book friend 20241104192300136 for the reward and encouragement!
　　
　
(End of this chapter)