Chapter 153 What bad intentions can I have? I just want to give you a surprise...
Unfortunately, the two papers were not admitted to Ann.Math in September, but were postponed to early October, the third day of the National Day holiday.
The main reason is that Qiao Yu always adheres to the principle and does not manually modify the manuscript for Brother Chen. Instead, he finds out the problems and sends it back. After modification, Qiao Yu reads it again.
After repeating it three times, Qiao Yu was satisfied.
There is no other way. A little trouble in the early stage will make it easier in the later stage. The first time we collaborated on a paper, let Brother Chen fully understand the standards, so that he can be more strict with himself next time.
Human habits are formed through repetition over and over again.
Qiao Yu didn't tell anyone about this submission, including Director Tian and Mr. Yuan. On the one hand, he wanted to give the two old people some surprises. On the other hand, he was also the leader of the research team now. To be decisive, he couldn't report everything.
.
As for Chen Zhuoyang, he won't even say it. This is his first time submitting an article to one of the top four mathematics journals. If he is not accepted, some people may not only laugh in their hearts, but also say it directly.
.
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 is published in Ann.Math, he will be the first lecturer to publish a paper in the top four mathematics journals after the establishment of the School of Mathematics at Jinzhou University.
With this result, it seems that Dean Zhang still wants to yin and yang him, so he has to consider the consequences.
He even has an article in a top journal, and given his age, he might have a chance to compete for the title of Yangtze River and Outstanding Youth.
Of course, Chen Zhuoyang was able to achieve this without any effort. Without sleep, people will naturally appear decadent. If they are met by someone they don't like, they will inevitably say a few words.
It's just that during this period, Chen Zhuoyang became even more reticent in school. Apart from attending classes on time and participating in some school meetings, he hardly interacted with other people.
The main reason is that he has no time, after all, he spends all his spare time doing verification work.
Qiao Yu did not disappoint him. Facts proved that the results deduced by his junior brother could be verified.
The next step is to wait.
But this does not mean that Chen Zhuoyang can take it easy. In fact, he just took a hard rest for two days before starting the next round of work.
There is no way, in Qiao Yu's words, these two papers in the first stage are just a starting point, and there is still a lot of verification work to be done next.
After all, one top publication can only shut up some people. 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 being slapped in the face!
Chen Zhuoyang deeply agreed with what his junior brother said. He had no choice but to make some people's faces swell.
Then there was indescribable gratitude. After all, he really never thought that Qiao Yu would do such a thing for him.
Really, Chen Zhuoyang thought that Qiao Yu would get him a few top-issue and second-tier novels, but who would have thought that what Qiao Yu wanted was to feed the first-tier novels into his mouth.
Although Qiao Yu didn't say it at all, Chen Zhuoyang also knew that there was no problem in merging the two papers into one.
Putting theoretical derivation and verification in one paper will actually make the paper appear more complete and make it easier to review.
At least for Qiao Yu, there was absolutely no need to divide it into two papers, let alone to allow him to confidently be the first author.
So much so that he didn't know how to thank this junior brother.
But from Qiao Yu's point of view, I really don't think this is a big deal. After all, Qiao Yu has always believed that people should be given some benefits when they help with work.
When he was still in junior high school, he told his deskmate Zhou Shuang that if he found that he could not gain happiness from doing something and could not get any material benefits, he should quit as soon as possible.
Qiao Yu always felt that this was a truth. Anyone with reason would definitely be able to figure it out.
Therefore, since he wants Senior Brother Chen to do his best to help him achieve results, he should naturally give him enough benefits.
However, Qiao Yu has no money, so he can only give up some reputation. Not to mention that this arrangement is definitely a profit maximization for him.
The first author of the important paper was still his, and he even had the second author of a top-ranked article.
Although the second work is not very recognized in China, it is still recognized abroad. In addition, publishing articles in the official Ann.Math journal does not even require payment of page fees, so it is simply a no-cost business.
All in all, no one felt disadvantaged in this paper submission. Even Lot Dugan was at least happy in his previous interactions with Qiao Yu.
This is probably the legendary win-win, almost perfect project with no losers. Of course, the prerequisite is that the paper can really be published...
…
Princeton, United States, is a city where research institutes, universities, and communities are intertwined.
In the crisp autumn season, Lot Dugan was sitting in the sun, basking in the warm autumn sun.
The bald old friend opposite was carefully reading the paper in his hand. Lott Dugan was sipping coffee comfortably in the sun and leisurely watching the students active on the lawn next to him.
It's like admiring a painting called Youth.
Yes, Lot Dugan actually likes to take some time to watch these youthful children and do whatever they like. Obviously this is much more interesting than attending those long and meaningless executive meetings.
At least that's what he thought. After all, Lot Dugan had always felt that the group of people who controlled the Princeton board of directors were not that smart, and he did not accept any refutation of this.
After a long time, the old bald friend next to me finally put down the two papers.
After noticing this action from the corner of his eye, Lot Dugan asked with a smile: "Haha, Pierre, when you were doing the modulus space structure fifty years ago, did you think that one day, someone would solve this problem? To this extent?
Tell me, you must feel that Andrew proved Fermat’s last theorem through the key mathematical framework you provided, which is the pinnacle of your life, right?”
Yes, this bald old friend is Professor Pierre Delini, who met Qiao Yu at the World Congress on Algebraic Geometry and is one of the most powerful figures in the world of mathematics.
The Fields Medal, the Abel Prize and a bunch of other awards are enough to highlight his contribution. In particular, his research on modular forms has given many later generations of mathematicians many useful tools, including this article by Qiao Yu paper.
For example, in the derivation of Qiao Yu's related theorems, the single value property proposed by Derini was directly used. When defining the modal distance, Derini's geometric analysis of Galois representation was directly used.
After all, the framework proposed by Qiao Yu is an attempt to geometricize number theory, and in terms of goals, it is consistent with Delini's previous research direction.
Pierre Delini ignored the noisy Lot Dugan, put down his paper and closed his eyes directly.
He is still thinking about this structure that defines all numbers as elements. Numbers no longer represent a single value, but a point in a multi-dimensional modality, 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 author of the paper directly gives modal attributes to numbers, so numbers become dynamic, multi-dimensional existences.
In the future, number theorists will no longer study numbers themselves, but the behavior and interaction of numbers as elements.
Not only is it a genius design, it’s also crazy enough!
The only pity is that this paper is too short. It only has the most basic definitions.
He just couldn't help but start thinking about whether this modal space can capture more complex group theoretical symmetries between numbers?
For example, can the branching behavior represented by Galois have a direct correspondence in modal geometry?
Just thinking about this gives me a headache. But Lot Dugan next to me is still chattering.
"Hey Pierre, don't you want to know who the author of the paper is? You can beg me and I might be able to tell you before you review the paper."
Pierre Delini opened his eyes, looked at Lott Dugan beside him, and growled in a low voice: "Can't you be quiet for a while, Lott! In an article with such an obvious personal style, except for that boy Qiao Yu , who else could it be!"
Lot Dugan was obviously surprised and asked suspiciously: "Is your personal style obvious? Why didn't I see it?"
Of course, Pierre Delini would not tell this friend that he had actually learned from other people that Qiao Yu was doing relevant research.
Yes, Tao Xuanzhi had already sent him an email to discuss the feasibility of Qiao Yu's idea.
So he said calmly: "Because you can't always see the deeper connections, that's why you didn't win the Fields Medal. Qiao Yu's ideas in mathematical research have always been bold and radical!"
Lot Dugan was silent... and then said: "But there are two papers. So you can only get half of it right at most."
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 they were earlier than him.
…
"I don't understand why two papers are published? The two papers add up to only twenty-five pages." Pierre Delini couldn't help complaining.
From his perspective, interweaving the verification of the second paper into the first paper will make the entire paper look more evidence-based and complete.
"Because he felt that he wanted to give other members of the research team more opportunities. I think this reason is great!" Lott Dugan gave an unreasonable reason.
Facing Pierre Delini's probing gaze, Lot Dugan spread his hands and added: "Well, actually this is a very simple truth. Geniuses have privileges. Think about when you were young.
,haven't you ever been willful?"
I have to say that this reason left Pierre Delini speechless.
Yes, those big guys were indeed very tolerant of him when he was young.
Alexander Grothendieck, Jean-Pierre Serre... and many other mathematical masters at the time provided him with a lot of help.
Even after Grothendieck quit mathematics research, he still gave him a lot of help on the Weil conjecture and always supported him in conducting independent research.
You must 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 mentor and his colleagues were almost infinitely tolerant of his ideas, which allowed him to have
later achievements.
"Okay, I will review the two papers together as soon as possible. In addition, Professor Tao Xuanzhi is very interested in Qiao Yu's research, if you haven't found a more suitable reviewer."
Pierre Delini finally said this.
"Tao Xuanzhi? Well, I have to say that he is indeed a good reviewer. In addition, there are Peter Schulz, Andrew Wiles, Richard Taylor, Andrew Glanville, and you,
There are six reviewers in total, which is just enough.”
Lot Dugan listed the reviewers he selected.
Pierre Delini nodded. He had to say that Lot Dugan, the editor-in-chief of the Annual Journal of Mathematics, was indeed professional in selecting reviewers.
Among the reviewers are experts in number theory, experts in algebraic geometry and the Langlands Program, experts in modular form, thinkers in cross-field mathematics, and an expert in calculation and experimental verification, who are enough to conduct a comprehensive review of this paper.
Yes, it is not often the case that a paper has six reviewers. 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 Lot Dugan's idea, Pierre Delini asked: "Have they all agreed to serve as reviewers for these two papers?"
Lot Dugan looked at his old friend playfully and replied with a smile: "Of course, except for Tao Xuanzhi, who I haven't notified yet, everyone else has already agreed.
I told them that your initial evaluation of this paper was that if the article is correct, it will be the greatest landmark work of this century, bar none. So don’t reveal it.”
Pierre Delini was startled, and then his expression quickly returned to normal...
This damn guy, he swore he hadn't said this yet. After all, he had just finished reading the paper and hadn't done any in-depth calculations or derivation.
"I made a note of it. If he is right, I will say it again in public next time."
Pierre Deligny glared at Lot Dugan and replied.
Well, it's actually good to have a friend who knows him well, because he thinks this evaluation is actually very...appropriate.
If in the end no one can find any errors or omissions in the article.
…
It takes time to build an important axiom system framework, it takes time to prove it, and it also takes time to submit it to reviewers for verification.
So after Qiao Yu submitted the article, he stopped paying attention to it.
On the one hand, the research has just begun, and he still needs to continue to advance. Next, he will introduce some more complex concepts.
For example, modal convolution requires advancing the two-dimensional modal space into a three-dimensional modal space.
Advancing from two dimensions to three dimensions is also a complex process. The work required to prove it will be more complicated.
However, what is more complicated is actually verification work rather than simple proof.
After Qiao Yu learned from Lot Dugan that his paper would be reviewed by at least four to five reviewers, he could roughly judge that the paper would be published as early as the end of December. , it may even have to wait until next year.
Even if the reviewers are very diligent, it will take about two months to review the manuscript and then type it.
According to Qiao Yu's plan, the second batch of papers will be submitted after the first batch of papers are published, which means that there are still three months to do the next stage of work.
Obviously this time can be said to be quite abundant.
Qiao Yu still plans to divide the second batch of papers into two, and he and Senior Brother Chen will still be the first authors of each other.
The reason is also very simple. Occasionally, if you publish an article in one of the top four magazines, people will think that this person is just lucky.
But if we can continue to publish top issues, some people will find out that this big boss must be paid...
By the way, he can also get a GG for his own topic. As he told Lot Dugan, it may take him more than ten papers to build the entire framework.
The initial workload is not large, but once group theory and graph theory are introduced into the framework, various verification tasks will increase exponentially.
The reason is also very simple. After introducing these complex theories, the modal space must be pushed to higher dimensions.
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 example, verifying the group symmetry of a modal path may require examining the interrelationships in all dimensions.
Not to mention that group theory and graph theory themselves belong to different branches of mathematics. Integrating them into the same framework requires proving some cross-field properties, such as the role of group representation on modal paths.
The workload has increased exponentially. Even if Senior Brother Chen sacrifices all his hair or even dies from exhaustion, it will be impossible to complete the complicated verification work 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 GG of the research team to the outside world.
Look, when you come to Qiao Yu's research group, publishing top issues is just like having fun. You can even publish two or three articles a year.
Qiao Yu didn't even worry about not being able to separate the two.
The reason is also very simple. After continuous expansion and addition during this period, Qiao Yu feels that this axiom system can be made into a highly axiomatic and modular theory.
For example, after he completes the proof work for the group theory module, the verification of various work introduced in group theory can be divided into several papers.
Symmetry groups and geometric structures of modal space, group orbits and periodicity of modal paths, the role of group representation in multi-dimensional modal space, group theory verification of modal convolution, the impact of group action on modal density functions,
Modal space group theoretic description of specific number theory problems...
If you really think about it, Qiao Yu can find tons of research directions, and each direction can involve an independent problem or tool, all of which are indispensable.
And he has sufficient reasons to classify them this way. Because all these propositions are gathered into one paper, which is too big! It is not conducive to dissemination.
Separation can make it very streamlined. When other mathematicians need to use it, they can find the required documents more accurately.
These propositions are enough to feed a large research group. Just like what he told Lao Xue before.
What if one day you become a leader in the mathematics community and control countless resources, but at the same time there are two close people with similar achievements and only one position?
Qiao Yu's answer at the time was that if you make the cake so big that people around you can't finish it, then there won't be such a ridiculous problem.
Of course, the cake must also match the ability. In the later stage, you can only get the research topic if you have the ability, and you will be promoted if you are successful in verification.
If you can't do it, sorry, you will naturally be eliminated by the research team.
With this large team to conduct complex verification of his theoretical framework, he was able to find time to complete the propositions that Director Tian asked him to do before graduating from Ph.D.
For example, the twin prime conjecture and the Riemann hypothesis.
Of course, Qiao Yu did not announce these ambitions to the outside world. He did not even mention these things to Director Tian and Mr. Yuan. After all, there was not so much work in the early stage, and it was relatively easy.
No one now thinks that this proposition can lead to several top publications within a year.
In short, this is Qiao Yu's plan. The workload in the early stage is small, and he can attract the interest of the academic community through a few core theories and verification papers.
The subsequent development of complex verification work gradually let everyone know that he planned to build the entire framework into a comprehensive and rigorous research system.
The later it gets, the more difficult it becomes, but the collaborators it attracts will naturally become 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 plan...
In fact, the reason is very simple. Everyone knows that Qiao Yu is a person with extreme talents, but in fact, everyone is less aware that Qiao Yu's talents are not limited to mathematics, or even science.
What's more, he is very good at observing and summarizing everything in life. He is also determined to either not do something or to do it to the extreme.
For example, Qiao Yu knew very well that in the mathematics world, what he lacked most now was not talent, papers, achievements, or even those messy awards, but qualifications and foundation.
After all, he is confident that he can obtain other honors when he is young, but his qualifications and background are different. Under normal circumstances, he can only rely on time to slowly fill them up.
His mentor Tian Yanzhen, his master-grandfather Yuan Zhengxin, Lott Dugan, even that man's father-in-law Mikael Eisen, and those big guys, they can rely on more than just themselves
Those honors.
What's more, their students are all over the world in universities and research institutes. Many of their outstanding students have also become math giants...
Editorial boards and even chief editors of journals, review committee members of major awards and science funds, and heads of research groups in universities and research institutes.
It's like a network that condenses these people into a seemingly loose body that actually has the same interests. As long as there is a need, great energy can often burst out.
Qiao Yu couldn't wait so long.
When he graduates, becomes a professor, and then teaches students, he also has to wait for the students he teaches to grow up...
He was already old by then!
Slowly build this theoretical framework, and win over a group of people who already have a certain say in the academic world, domestic and foreign...
Everyone's core interests are the same. After all, with the help of Qiao Yu's topic, their voice will be greater.
The next step will be easy. In just a few years, the people around him will become his amplifiers. Even if he whispers a word, it 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 team have taken care of him since he was at least eighteen years old. There is still more than a year left, so he still has plenty of time to study.
The only thing that dissatisfied him recently was that when everyone was busy and fulfilled, Mr. Yuan actually arranged for Qiao Xi to travel during the National Day holiday.
Yes, travel in the literal sense, and it is a holiday travel, the kind of traveling where you can join in the fun.
The reason is that I originally felt that Qiao Xi's life was too simple and boring, and she was not good at communicating with others. Only by going out more and interacting with people could things improve.
Qiao Xi actually went there...
Well, it doesn't matter. Considering that Qiao Xi has never gone out to have fun, life should indeed be relaxed.
In short, the National Day holiday passed quickly, and Qiao Yu was called to the office by her tutor again.
"The time for this year's annual academic meeting of the Mathematical Society has been set. From the 2nd to the 6th of next month, the second special lecture on the morning of the 4th will be a 60-minute speech by you on behalf of Yanbei University."
The tone of voice that did not allow for denial immediately put Qiao Yu into confusion.
"No, Director Tian, ​​what...what should I say in the sixty-minute report?" Qiao Yu asked subconsciously.
I can't retell his paper on the geometric Langlands conjecture at the World Algebraic Geometry Conference.
"Let's talk about your modal space theory. Mr. Yuan and I both feel that this will be the most important direction in future number theory and geometry research. We helped you win this opportunity.
Just forget about withdrawing the project I applied for you last time. It has taken so long to write an overview paper about your idea and submit it to the organizing committee for review. Don’t underestimate the annual mathematics conference, which is already the largest in the country. The top academic conference."
Tian Yanzhen directly helped Qiao Yu choose the topic.
Qiao Yu felt a little confused...
The first time I submitted my manuscript for publication, I didn’t report it to my supervisor, but ended up running into a meeting of the Mathematical Society?
The key issue now is that he has already submitted the paper to Ann.Math, and according to backend feedback, the editorial department has only entered the peer review process for two days. At this time, it seems a bit inappropriate for him to give a report on an unpublished paper at a conference. suitable……
Seemingly seeing that something was wrong with Qiao Yu's situation, Tian Yanzhen frowned and asked, "What's wrong? You haven't done anything for more than a month, right? Even if you haven't done anything, there are still twenty Is it difficult for you to write an overview paper in multiple days and submit it to the committee for review?”
Qiao Yu shook his head and replied: "Um... Director Tian, ​​I originally planned to give you and Mr. Yuan a surprise... I have already written the paper you mentioned and submitted it to Ann.Math twice, and now both In the review stage.”
These words really shook Tian Yan out of his mind.
He knew that Qiao Yu wrote papers very quickly, as if various inspirations were always surrounding him, but he didn't expect it to be so fast.
How long has it been since then, and this guy has already compiled a paper and submitted it to Ann.Math?
Wait...there seems to be something wrong.
Tian Yanzhen frowned and confirmed, "Did you just say 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 present the paper at a conference before it's officially published. You can't submit one draft for two submissions, right?"
I can write another paper, but if I don’t talk about the presupposition theorem, people at the report may not understand what I want to express.”
There was a stunned silence in the office for a few seconds, which made Tian Yan really angry...
"Senior Brother Chen? Chen Zhuoyang? He also has one? Okay, okay, okay, send the paper to me."
Well, it was actually not polite to ask for an unpublished paper like this, but since this was a request from his tutor, Qiao Yu didn't waste any time and obediently trotted to his tutor's computer to start working on it.
I quickly downloaded the two papers from my email attachment library.
"I am the author of this article "The Fundamental Theoretical Construction of the Generalized Modal Number Theory Axiom", and the other article is the author of Senior Brother Chen."
"Let me take a look at your submission background..."
"oh……"
Soon, the background proved that the paper had indeed reached the stage of finding good reviewers. After all, Under Review would not lie.
Tian Yanzhen looked at the submission time and could only say that the editorial department of Annual Mathematics was very fast. It only took two days to find the reviewers. This is extremely fast for a top mathematics journal editorial office. .
The main reason is that Tian Yanzhen didn't know that the reviewers were all personally invited by Lot Dugan, and he also directly borrowed Pierre Delini's evaluation... Everyone would naturally give it a try.
Without talking nonsense to Qiao Yu, Tian Yanzhen spent more than ten minutes reading the two papers in general, and immediately understood what the situation was.
Putting down the paper, he glanced at Qiao Yu and said, "You are really nice to Chen Zhuoyang."
Qiao Yu grinned innocently and said, "Hey, this is not just for your sake. My senior brother is your student. He has been having a hard time at Jinzhou University recently, and he is too embarrassed to talk to you. You said, I can only take action."
"Oh? It's difficult? What's wrong?" Tian Yanzhen frowned and asked.
"Hey, you don't know..."
Qiao Yu immediately re-explained what Chen Zhuoyang told him, adding some oil and vinegar into it.
Finally, he concluded angrily: "...That's probably the situation. It's too honest to bully Senior Brother Chen. If it were me, I would definitely make them look like eighteen!"
Tian Yanzhen nodded his head in disbelief, and then glared at Qiao Yu: "Okay, but we can't change the person for the report on the morning of the 4th. Think about it for yourself, what other paper you can write. Leave it to me before the 25th!"
"Number 25? Are you sure?" Qiao Yu was stunned.
Tian Yanzhen sneered and said: "Otherwise? After submission, it has to be reviewed by the committee. Do you think you can go up and talk nonsense? Hurry up and prepare! You can vote for Ann.Math by yourself, and you can still be troubled by such a small problem. live?"
Feeling that his mentor seemed really unhappy, Qiao Yu could only nod aggrievedly and muttered: "Well, I'll try my best. But, I really just want to give you a surprise..."
Is this a surprise...
This is so scary!
Thanks to book friend 20241104192300136 for the reward and encouragement!
Chapter completed!