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Chapter 112 is the Mathematical Annals
Of course, Qiao Yu had nothing to fear from answering the phone. He hesitated just now to give face to his teacher...

He couldn't keep pretending to be stupid and not knowing the conflict between his mentor and the other master. Otherwise, that wouldn't be pretending to be stupid, but treating his mentor and master as fools.

Qiao Yu seldom does anything clever, but he often does things that are extremely daring.

So after Tian Yanzhen said that with a smile, Qiao Yu answered the phone without hesitation in front of his tutor.

"Hello, Grandpa, good morning...ah, no, good afternoon."

"No, I'm still here with my supervisor... Yes, yes, that's Professor Tian. He called me here early in the morning... Yes, to read my thesis... I'm still here, he's right next to me, do you want to talk to him?"

"Oh, okay... um, yes, it's my mom... yes, my mom, to be honest, that's what happened, Director Tian also asked me this question just now... yes, there's nothing else... yes, I didn't tell Director Tian before."

"Yes, after checking the paper last night, I only sent emails to you and Director Tian. Before this, apart from telling my mother that I was writing this paper, I hadn't talked about this with anyone else!"

"...Is that so? Thank you so much, Grandpa...Yeah...I understand...I'm not proud, really...Oh yeah...Do you really not need to talk to Director Tian for a few minutes...Okay..."

Qiao Yu put the phone down from his ear, and confidently handed it to Tian Yanzhen, who was just sitting there, looking at him with a complicated expression, and said, "Director Tian, ​​Master said he wanted to talk to you."

Tian Yanzhen was startled, but still took the headset, calmed down, put the already hot phone to his ear, and said in a deep voice: "Hello, Mr. Yuan."

"I've always thought you had the best luck among my students! Now it seems that I was right!"

Hearing the familiar voice, Tian Yanzhen felt a little emotional.

If it were ten years ago, he would probably have argued with the old man opposite for this sentence, but now Tian Yan really felt that he was quite lucky.

His achievements were slightly higher than those of the Chinese mathematicians of the same generation, and the students he enrolled at this age were also better than those of the same generation... not just a little bit. They were even much better than the students of the old man opposite him.

Tian Yan really doesn't think that doing scientific research is a matter of luck, but when it comes to recruiting students, luck does play a big role.

If Xue Song had not sent him the email forwarding Qiao Yu's paper, he would have suddenly had an idea and went to the CMO site. When he met Qiao Yu, he looked at the learning experiences in the boy's computer. If he had waited until after the IMO to take action, it might have been too late.

Therefore, in addition to letting him take Qiao Yu with him, the idea of ​​transferring Xue Song to Yanbei was also to return a favor.

But the reason why Tian Yanzhen didn't want to argue at all was that he could hear the sourness in her tone...

Yes, others may not be able to hear it, but he can hear it...

So Wen Yan replied: "Teacher is right. I have indeed been lucky over the years. Especially last year, I just happened to have the idea to go out and have a look, and I ended up coming across a piece of rough jade. I have to thank the teacher for helping me carve it."

The other party was silent for a moment, and then said: "Although your knowledge is still a little lacking, since my grandson is willing to be your disciple, please spend more time on it. You are also at this age, so you should stop fighting for fame and fortune and cultivate your students in a down-to-earth manner. This is the right way."

Tian Yanzhen immediately replied: "Teacher, please rest assured. Yanbei really has a training plan for Qiao Yu. I believe that his future achievements will surpass all of us. It is not easy for China to produce such a mathematician whose talent is not inferior to anyone else. Yanzhen will go all out. And..."

At this point, Tian Yanzhen changed the subject and began to give examples: "In fact, the professor doesn't need to be so meticulous. The other day I taught him about the problem of quantization in mathematics, and he only took ten minutes to master it and even used it in the examples of his paper.

This is reflected in the proof of Lemmas 3 and 4 of the quantized homology category group in this paper. If you look at these two lemmas carefully, you will probably understand the significance of the ten-minute explanation. "

There was silence for a long time again, and then a sentence floated into Tian Yanzhen's ears: "Then you take care of yourself, I'm hanging up."

"Teacher, take care of yourself."

……

When the phone was returned to Qiao Yu, the other party had already hung up. Tian Yanzhen looked Qiao Yu up and down and jokingly asked, "You recognized a grandfather?"

"Ahem..." Qiao Yu coughed twice and immediately replied, "Director Tian, ​​that's my master. Oh, by the way, I just simplified it out of habit. I'm your student. We study mathematics, and it has become a biological instinct to simplify complex formulas when we see that they can be simplified. Hmm, do you think this explanation is reasonable?"

It does sound reasonable.

But Tian Yanzhen just stared at Qiao Yu quietly, until the young man felt almost embarrassed. Tian Yanzhen couldn't help it, and the corners of his mouth gradually curled up.

So he simply nodded and said, "It does make sense. So what did your grandfather just tell you?"

Although Qiao Yu answered the phone in front of him, he could only faintly hear the voice on the other end of the line and could only guess what it said.

Qiao Yu answered honestly, "It's almost the same as what you asked, that is, whether I have discussed it with other people. Oh, by the way, my grandfather said he would help me find someone to use Huaqing's supercomputing center to do some verification for me. He also said that before it is widely recognized by the mathematical community, my conclusion can only be regarded as a conjecture for the time being, and asked me not to rush to be proud."

Tian Yanzhen nodded and said, "Mr. Yuan is right. Your article is very valuable, but before it is widely recognized, it can only be regarded as a guess! However, as long as it can be verified by supercomputers, even if it is a guess, it has been proved that at least in the known curve library, your conclusion is correct.

This is the same as using some of the conclusions of the BSD conjecture in your paper. Although the BSD conjecture has not been fully proved, some of its conclusions have been recognized, so you should still use them!

Plus, your ideas are very innovative, especially in the area of ​​geometric constraint parameter conjecture. So I think it will be no problem to submit this article to the Big Four after it is verified by supercomputing. Do you have any favorite journals you would like to publish in?"

Qiao Yu shook his head and said, "No, I only know the four major ones, which you mentioned to me before. They are the journals with the greatest influence in the mathematics community. I don't really understand the differences between these four journals. How about you decide which one to submit to?"

Tian Yanzhen pondered for a moment and said, "Then submit it to Ann Math. The editorial office of this mathematics annual is at Princeton University. Do you remember Professor Zhang who attended the seminar last time? He is now a professor at the Institute for Advanced Study in Princeton."

Seeing Qiao Yu's confused look, Tian Yanzhen explained, "It's not that your paper doesn't meet the standards of Ann Math. It's mainly because we're afraid of interference from factors outside the scope of academic research. Especially since you're only sixteen years old this year. You're still a complete newcomer in the mathematics world. It would be much smoother if someone other than your tutor could guarantee your academic performance."

Qiao Yu subconsciously asked: "What does academic guarantee mean?"

Tian Yanzhen smiled and replied, "Academic guarantee is a very serious matter. For example, if no one can find a counterexample for your paper within a period of time and it is valid for almost all known curves, then it may be transformed from a conjecture into a theorem.

That is to say, you have solved a difficult mathematical problem in the world, and at this time a mathematician with enough weight will stand up and tell everyone that you solved this problem independently without relying on others. This is academic guarantee.

As the corresponding author, I can also guarantee your academic achievements. I think Professor Yuan would not mind guaranteeing your academic achievements. However, in recent years, we have mainly participated in Huaxia Mathematics and our international influence is not that great. If Professor Zhang is willing to guarantee you, the doubts will be much smaller.

Of course, it may not be just Professor Zhang. Visiting Professor Robert is also willing to do this. In short, the more professors come forward to vouch for you, the fewer unexpected situations that may arise outside of academics. After all, you are only sixteen years old!"

Yes, when he said this, Tian Yan was really glad that he made that call to Zhang Shuwen that day.

So this paper appears to have a coherent structure.

Because he didn't expect Qiao Yu to complete a paper eligible for submission to the Big Four in such a short time. He asked Qiao Yu to come to Yanbei earlier in the past six months to save him some time and lay a good foundation in advance. As a result, this guy handed in a different answer!

Tian Yan believed more than anyone else that Qiao Yu would succeed, but he never thought it would happen so soon! He just turned sixteen!
What else could he say? Originally, it was a step forward in planning for the future, but in the blink of an eye, it was going to be used in just over a month. It can only be said that things are unpredictable, and Qiao Yu is even more unpredictable. He popped up a surprise inadvertently.

"Is that so? It will be very troublesome if there is no one to provide academic guarantee?" Qiao Yu nodded suddenly and asked.

Tian Yanzhen hesitated for a moment. He originally thought that there was no need to expose Qiao Yu to the dark side of the academic world, so as not to dampen the child's enthusiasm for academic research. But since he has already made some achievements, who knows what surprises will come in the future, it is better to let him know in advance.

“The academic world is also a world of its own. Many people are researching a certain direction, and generally whoever publishes first gets the credit for the results. But sometimes mathematical problems are very special. If you claim to have proved a certain topic, there may be some flaws in the proof process, or it may be unclear, and then someone will question it.

Some people will fill in the gaps and claim to have proved the problem. It is even possible to fabricate that their work was almost done, but the original research was leaked at a critical moment.

So this world is not friendly to new academics. Do you understand?"

Qiao Yu nodded and said, "I see. Actually, Professor Xue mentioned this to me before, but he was talking about the lab letting people off the hook... Well, even if we have already produced results and have all the research manuscripts, we may still run into this situation. Aren't most professors supposed to be modest gentlemen?"

Tian Yanzhen smiled: "Don't overestimate the average moral standard of the academic community. If you have time, check the academic integrity analysis report and you will know. In fact, theoretical mathematics is pretty good, compared with some research in theoretical physics and applications, forget it, let's not talk about others...

Well, in short, if someone is willing to endorse your academic achievements, you should remember to be grateful. Because they are risking their own academic reputation to endorse you. Especially when you are just starting out, these are timely assistance.

The more academic reputation you accumulate, the more people will be willing to vouch for your academic achievements. Until you become a well-known mathematician, you will no longer need anyone to vouch for you, and in turn, you will be able to vouch for others.

But you should be more careful at this time, as I just said, academic guarantee is an extremely serious matter. If you guarantee him and he really commits academic fraud, it will also affect your academic reputation. You can't share much of the honor, but it is true that you will suffer together."

Qiao Yu nodded seriously, indicating that he had learned his lesson.

He had heard some things from Lao Xue before, and he thought that Professor Xue probably did not work in the top academic circles, so the things and people he encountered were more complicated.

But after hearing Director Tian say this, Qiao Yu also realized that the higher up you go, the more intense the competition might be.

From what Director Tian said, it seems that stealing newcomers' achievements is not only a common thing in the academic world, but there are also many ways to do it...

This further increased Qiao Yu's determination to grasp both sides and be strong on both sides.

With the support of Huaqing and Yanbei, it means that if he makes achievements in the future, the bigwigs on both sides will support him. If you want to steal his achievements, you have to weigh your own weight first. It is said that mathematicians are the only field that can still fight alone, but now it seems that before you have enough strength, you have to stick together for warmth.

Tian Yanzhen then added: "This is why Mr. Yuan and I have repeatedly asked you whether you have discussed this issue with other people. But you don't have to worry too much. At least your achievements this time are unlikely to be coveted by others.

Your method is very new, and just when you proposed this idea, we held a seminar, which not only had Professor Zhang Shuwen and Professor Robert participating, but also had the entire process recorded. With this evidence, even if someone has ulterior motives, it is enough to convince the international academic community.”

Qiao Yu raised his hand and said sincerely: "Teacher is wise!"

After all, it was Tian Yanzhen who had decided to hold that seminar.

Tian Yanzhen smiled. Well, that was just a spur-of-the-moment idea. He even wanted to show off that he was his last disciple. At that time, he never thought that Qiao Yuzhen could complete this project... It could only be said that it was an unintentional act.

However, Tian Yanzhen did not explain anything, but changed the subject: "Besides, under the current circumstances, I can't treat you as an ordinary student. So you should study step by step according to your own way, but you also have to consider what your next project will be."

"Topic?"

Qiao Yu was stunned. It seemed that he had not officially started his undergraduate studies yet. According to his understanding, the formal reporting of research topics should be in the graduate stage.

So I immediately explained, "Well, Director Tian, ​​you may have misunderstood me. I did this project mainly because Teacher Xue told me that there was a genius on the opposite side who submitted a paper to a top conference when he was an undergraduate student during military training. I thought that as your student, I must not be worse than the other person.

Then I happened to come across this opportunity, and I had some ideas, so I just tried to do it. At present, I feel that I should focus on learning, after all, I am still lacking in basic knowledge, and I need to work hard to make up for this shortcoming. ”

Although Qiao Yu has always shamelessly believed that he will be the one to carry the banner of Chinese mathematics in the future, this does not mean that he wants to add more burdens to himself at this stage.

His idea was very simple. After completing this paper, he would have established his position in the eyes of Director Tian and his senior teacher. Then he could relax for a while.

It was really easy for him to consolidate his foundation. He only needed to read books and papers every week in the past six months and attend the IMO special training with a relaxed attitude. After getting the first place, he will enter school next year and start to enjoy his undergraduate life.

Like Schultz, he completed the credits in two years, and then started graduate school and worked on research projects.

The key point is to enjoy your two years of undergraduate life.

With this paper laying a solid foundation, he dared not even think about how happy his undergraduate life would be in the next two years. Just imagine, with two big Buddhas protecting him, he could walk sideways in the mathematics schools and mathematics research institutes of two universities at the same time.

By the way, he could enjoy the admiration of his peers. If he wanted to take professional courses, he could take them. If he didn't want to take them, the professor would not make things difficult for him, but would reflect on why he couldn't keep him. After all, according to his understanding, even most of the professors in Yanbei had never published an article in the four major mathematics journals...

Such a life is beautiful just thinking about it.

But it would be different if you were tasked with doing a research project.

Just look at Senior Brother Chen and you will know that once he is burdened with tasks, he may not even be able to sleep well, let alone go out to play. He probably doesn’t even have the mood to show off his superiority in front of his classmates.

Mathematical research should be a very happy thing. But it is different when you shoulder the heavy burden of scientific research.

It is normal if the former does not achieve results, and it would be a surprise if they do.

The latter will feel sorry for the teacher’s expectations and the school’s training if they fail to achieve results; it is normal to achieve results!

Obviously, Qiao Yu hoped to live a carefree life like the former for two years first.

However, Tian Yanzhen was obviously not moved by his words, and said gently: "Age is not a problem, and foundation is even less of a problem. The mathematical life of a person who can really make achievements is very short, and time cannot be wasted.

If you don't have the ability, that's fine. But if you have the ability, you should set a goal for yourself. Since you are so interested in the upper bound of rational points on a curve, why not try to solve problems related to the BSD conjecture?

Of course, I am not saying that you must solve this conjecture immediately. For example, you can first study the rational point order of some specific elliptic curves, or study the properties of L-functions at s=1, including the relationship between the multiplicity of zeros and poles, etc.

If you are interested, I will recommend a few papers to you today. You can go back and study them first. After you have decided on the topic, we will meet next week to finalize a more specific direction. "

Qiao Yu could see that Director Tian was serious.

His dear mentor is not going to observe martial ethics anymore!
He really wanted to go across the street to complain to his grandfather, but suddenly he felt that if he complained about other things, his grandfather would most likely stand on his side. However, regarding this kind of thing, not only would he not stand on his side, he might even add insult to injury. For a moment, he felt a little upset.

But on second thought, although I cannot resist this, I must have my own opinions on the direction of research.

After all, he was not that interested in studying the rational number problem of curves, so he simply said, "Director Tian, ​​since we must choose a topic, I have always wanted to do research on the distribution of prime numbers. How about I just work on the Riemann hypothesis?"

This time it was Tian Yanzhen's turn to stare at Qiao Yu in silence...

Wow, the BSD conjecture has already been solved, but this guy refuses to do it, so let’s just change to a more challenging one.

Haha, Riemann hypothesis!
After a long silence, Tian Yanzhen slowly said, "Why don't you call Mr. Yuan over there and ask him what topic his mentor recommended to him back then?"

Qiao Yu nodded calmly and said, "I know, it's the Riemann hypothesis! Teacher Xue told me about it."

Tian Yanzhen asked: "Then you still choose the Riemann hypothesis?"

Qiao Yu said, "I am really interested in the distribution of prime numbers!" Tian Yanzhen pondered for a moment and said, "You want to propose an unrealistic proposition, and then you won't have any psychological burden if you can't do it, right? Being interested in the distribution of prime numbers does not necessarily mean you have to come up with the Riemann hypothesis.

So, I will give you a topic to study the randomness of analytic number theory. Specifically, it is to study the random prime number generation model and explore the effectiveness of the model in predicting the distribution of prime numbers. The requirement is to make a more accurate prime number prediction model, or formula, to describe the distribution of prime numbers. "

Qiao Yu was a little anxious and said, "Director Tian, ​​let me work on the Riemann hypothesis. I really think I can do it."

Tian Yanzhen nodded and said without allowing any objection: "I didn't say you couldn't do it, but if you choose the Riemann hypothesis, you must first determine a starting point, right? Just study it directly? Work behind closed doors? I think this proposition can provide you with a more mature idea for solving the Riemann hypothesis in the future.

This is also a topic for your poor foundation. Randomness research needs to be combined with probability theory and combinatorial mathematics. On the other hand, you need to get used to using computers for experiments and numerical simulations.

This topic will not only train your theoretical analysis ability, but also require you to frequently use supercomputers for actual calculation verification, so that you can quickly become familiar with the technical means of cutting-edge mathematical research. The topic is decided!"

Qiao Yu took a deep breath, then nodded with a bitter face and replied, "Okay, Director Tian, ​​I'll listen to you."

"Well, I'll send you a supercomputer account on WeChat later. You can go back and log in to the official website of the school's supercomputer center to familiarize yourself with the rules of using the supercomputer. However, you don't need to queue up for the account I give you, and you can use the resources as you like, but don't waste them.

By the way, you don't have to worry about the verification of this paper. I will arrange someone to help you verify it. If there are results and you need to modify or fine-tune them, I will notify you. Your next task is to think carefully about how to start the next topic.

Submit a progress report on the project every week. Of course, you can't fall behind in your daily studies. You have to submit your reading notes and paper notes every week on Monday. Why not submit them all at once? I'll take a look at them together."

Tian Yanzhen reminded them one by one.

Qiao Yu was numb and said sullenly, "Um... Director Tian, ​​my first phase of IMO training will start in early March. I don't want to make any requests during the training period, right?"

Tian Yanzhen smiled and glanced at Qiao Yu, thought for a moment, and said, "Well, okay, you can treat the two-stage training and going abroad to take the IMO exam as a vacation, but apart from these three periods, including the future winter and summer vacations, the above are daily homework, and they must be submitted.

Of course, the progress report will not be needed after the project is completed. Don't feel tired. Aren't you familiar with Chen Zhuoyang? You can ask him if he has the same requirements. Academic research is not that easy. "

Qiao Yu nodded helplessly. He didn't want to argue about the fact that he was still an undergraduate and the other party was a doctor.

The supervisor said this, which means he is already training him as a graduate student. Arguing is nothing but humiliating oneself.

He can only shoulder the burden that he shouldn't have to shoulder at his age...

Listen... In order to prepare for the special training for IMO, just consider it as a holiday for him!

Once such unreasonable words are spoken, it means there is no room for maneuver.

"I understand, Director Tian."

"Okay, let's go eat. You can relax a little today and go to the lake or the stadium. Give yourself half a day off. You can still have time to start working hard tomorrow. Don't be so sad."

"Well, thank you Director Tian for your concern!"

……

“When Heaven entrusts a person with a great responsibility, he must first strain his mind and will, strain his muscles and bones, starve his body and skin, deplete his body, and mess up his actions, so he can use his heart and forbearance to gain what he cannot do...”

On the way to the cafeteria, Qiao Yu recited "Mencius: Gaozi Part 2" over and over again, and finally he felt a little better.

There's no way, people always have to be good at comforting themselves.

When life is hard and there is no spiritual support, it is easy for emotions to collapse. But who can be blamed? After all, he is too good.

The only solution to worries is good food.

The cafeteria of Yanbei University soothed Qiao Yu's heartache very well.

After dinner, I wanted to follow my tutor's instructions, take a stroll by the lake, see the pretty senior schoolmates, and calm my depressed mood, but when I arrived at the entrance of the research center, I was too lazy to move.

Actually, there was nothing interesting to see. After all, the senior student couldn’t help him with his project, so he might as well go back and take a nap.

Not long after I returned to the dormitory, Lao Xue came.

"Did you go to class this morning? Didn't you say you were going to write a paper these days?"

Qiao Yu felt that Lao Xue had been acting a little strange recently, as if he felt uncomfortable if he hadn't seen him for a day. He would come over every day.

In fact, he has passed the initial adaptation period and does not need someone to watch him every day. But it is also good for Lao Xue to come and see him every day. After all, people always need to contact the outside world.

"I finished writing it yesterday and sent it to Director Tian. Director Tian called me over this morning and asked me to stay in his office and look over the paper with him." Qiao Yu explained.

"Oh? What did Director Tian say?" Old Xue became interested.

He knew the level of Qiao Yu's thesis, so he was not worried about the basic things. What he asked was naturally the evaluation of the results and the proof process.

"Professor Tian said that the samples I verified were not enough and that I needed to use a supercomputer for verification. If the results match those stored in the database, then I will be eligible to publish in the four top journals! If not, then the paper may need to be revised.

By the way, Professor Tian also suggested that I publish in Princeton’s Annals of Mathematics. Professor Xue, you studied for your doctorate at Princeton, so… it’s impressive to be able to publish in Annals of Mathematics, right?”

Speaking of this, Qiao Yu finally overcame his depressed mentality and became a little happier.

After all, it is one of the four major mathematics journals recognized by the world. Many professors are proud to publish articles in journals of this level.

However, Qiao Yu seemed to have forgotten that Lao Xue was also one of them. His words were actually tantamount to stabbing Lao Xue in the chest, although he really didn't mean that.

Then he heard Lao Xue's indifferent reply: "Yeah, that's great."

Qiao Yu felt something in his heart when hearing this tone, and felt a little melancholy. Wasn't it possible that he would accidentally touch the sensitive part of the professor's heart?

After thinking for a while, he said, "It's okay, Mr. Xue. It hasn't been verified yet. Maybe it won't pass the supercomputer verification. I still have to revise it."

Xue Song thought about it and seemed to think that his emotions were indeed unreasonable, so he smiled and said, "Okay, just be proud of yourself. Let me put it this way, when I was studying for my doctorate at Princeton, my advisor was a good friend of Professor Lotte Dugan, the editor-in-chief of the Annals of Mathematics.

But even so, I have never published an article in the Annals of Mathematics. Of course, it is not because I don’t want to, nor is it because my tutor is deliberately avoiding suspicion and unwilling to recommend me. It is simply because my results are not up to that level, so you can just be happy. "

"Hehe..." Qiao Yu laughed dryly twice.

Lao Xue is a kind person. He cannot make fun of kind people. This is his moral bottom line.

Moreover, there are many dishonest people around him, such as Yu Yongjun and Yu Wei, who are not honest people.

"Okay, I just came to see you. I won't celebrate with you. I have to get busy first." After saying that, Xue Song turned around and left without hesitation.

Although being Qiao Yu's mentor brings a kind of nurturing happiness, it is also inevitable that he will feel frustrated. He also needs to do a good job of psychological adjustment.

Just as he said, he had all the advantages of time, place and people, but he still couldn't publish an article in the "Annals of Mathematics". Not to mention whether Qiao Yu's article could be published in the end, but at least it was a paper certified by the top mathematicians in China to be qualified for publication in it.

With this point alone, Qiao Yu has already defeated 80% of the mathematics researchers in China in seconds.

This actually made Xue Song very happy, but if he was also included in the 80%, he would not be so happy. His mood was too complicated and he naturally needed to adjust.

Qiao Yu watched Old Xue leave without hesitation, and his mood was actually quite complicated, but what could he do? He could only say to Old Xue's back: "Teacher Xue, take care, I won't see you off."

Xue Song didn't even look back, he just raised his hand and waved casually.

Qiao Yu sighed and was about to take a nap when Senior Brother Chen from upstairs walked into his room with a bound A4 paper in one hand and a teacup in the other. He did not forget to explain after entering the room, "I just saw Professor Xue leaving from the window, so I came down."

As expected, when luck is bad, nothing you want to do can be done. Qiao Yu sighed in his heart, but still warmly welcomed his senior brother.

"Brother Chen, please sit down. Has the thesis been completed?"

"Yes, actually, it was almost finished last month. I just wanted to keep improving it, so I kept revising some of the content to make the proof process more perfect. Since you're going to Huaqing on Wednesday, I'll show it to you first. If you have any suggestions, I'll still have time to revise it tomorrow."

Chen Zhuoyang said this in a very sincere manner, which made Qiao Yu feel a little embarrassed.

"Well, how can I be qualified to comment on the paper for you, senior brother? I just take a look at it and learn from it." After saying that, Qiao Yu took over the paper from Senior Brother Chen.

Chen Zhuoyang sat directly on the stool in front of Qiao Yu's desk, put the teacup on Qiao Yu's desk, and said, "Hey, you're welcome. You were able to finish a paper so quickly, and you were even called by your boss to talk face to face for a whole morning, which shows that you really have experience in writing papers.

To be honest, I have never had a supervisor call me over to discuss my paper. Basically, they just give me some suggestions and ask me to revise or rewrite it. By the way, what did your supervisor say? Where did he recommend you submit your paper?

Qiao Yu had already opened Brother Chen's paper, and then answered casually: "My supervisor said that we need to use supercomputers to verify it. If it passes, he suggested that I publish it in the Annals of Mathematics."

Senior Brother Chen nodded and asked casually, "Oh, the Mathematical Annals of Shuangdan University? It's very good, and Series B is a core journal in SCI Zone 1. By the way, you should publish directly in Series B of Mathematical Annals, right? That's right, it's better to publish our Progress in Mathematics than Series A."

"Uh? Shuangdan University also has a mathematics yearbook? And it's divided into sections A and B?" Qiao Yu raised his head and asked.

"Didn't your boss suggest that you publish it? Didn't he explain it to you? Series A is a Chinese bimonthly, and Series B is an English quarterly, so of course... wait, aren't you publishing in Series B of Shuangdan University's Mathematical Yearbook? Then you're talking about..." Chen Zhuoyang reacted and looked at Qiao Yu in confusion.

"Professor Tian said it was the Princeton Mathematical Annals, and it doesn't seem to be divided into sections A and B, right?" Qiao Yu said honestly.

"Oh, so that's how it is. That... there is indeed no difference. And..." Chen Zhuoyang answered with trembling lips, hesitating what to say.

Qiao Yu looked at his senior brother curiously and asked, "Anything else, senior brother?"

Chen Zhuoyang was silent for a moment and said, "Next time someone asks you, don't say Annals of Mathematics, just say Ann Math. The abbreviation of Annals of Mathematics can directly distinguish it from other mathematical annuals."

Qiao Yu understood and thanked him sincerely: "Is that so? Thank you for popularizing science for me, you really know a lot."

Looking at Senior Brother Chen opposite him, who seemed to not know where to put his hands, Qiao Yu finally felt much more relieved.

Actually, there is nothing wrong with being assigned tasks by the instructor. As long as there are results, they can make the seniors tremble with envy.

And it wasn't that he wanted to show off or brag, it was his senior who asked the questions and he just answered truthfully.

"Hehe..." Perhaps not knowing how to deal with Qiao Yu's thanks, Chen Zhuoyang laughed dryly twice.

Qiao Yu also lowered his head to read the paper, but he kept an eye on his senior brother's hands. What if Senior Brother Chen couldn't figure it out and picked up the cup of tea and poured it on him? He didn't know if the water in the cup was hot...

The situation was not right and he planned to stand up immediately and not give his senior brother a chance to relax.

Fortunately, it can be seen that the senior brother was obviously distracted and did not make any unusual movements.

That’s good. Qiao Yu can also focus more on the paper itself.

Then he soon discovered that his senior's basic skills in writing papers were really good. Whether it was the introduction or the proof process at the end, at least it was something that Old Xue's graduate students couldn't mess with.

The paper has a clear structure, rigorous logic, clear arguments, fluent language, rich vocabulary, and impeccable format. In short, Qiao Yu did not find any shortcomings that would displease his tutor, and his writing skills were even better than his.

Really, the essay metaphor feels very comfortable to look at.

Of course, he was not completely unaware of the problem. For example, he vaguely saw the tools used by his senior brother somewhere before, and at most they were slightly deformed. He glanced through the paper and did not feel inspired. Well, it felt like...

In other words, this is probably just a very good hydrology article, without any innovative ideas or novel tools. It does not solve any huge problems, nor does it propose any new conjectures.

After reading the same paper, Qiao Yu found that he was not qualified to revise it...

Of course, it’s not that it’s completely impossible, but if he were to make changes and introduce a bunch of new things, it wouldn’t seem like a change, but a rewrite.

"Well, senior brother, your paper is very well written. The logic is rigorous and easy to understand." After briefly reading the paper, Qiao Yu gave a sincere evaluation.

"Ha ha……"

Chen Zhuoyang laughed self-deprecatingly and said, "You're right. Easy to understand is actually the reason why my boss thinks I can't graduate yet. It's too easy to understand, and there's nothing innovative about it. It's just an extension of some existing tools."

Qiao Yu thought about it and comforted him, "In fact, if you were in another place, with your level, you would have graduated. And if you were just a lecturer, your level would definitely be enough!"

This sentence made Chen Zhuoyang want to cry.

Really, after knowing Qiao Yu for so long, this junior brother who made him envious, jealous and hateful finally said something that touched his heart.

If he had not been here, he might have graduated long ago. Even if he had changed a different instructor, he might have been able to graduate. Who knew that he would be stuck here for some unknown reason? He was even embarrassed to feel any resentment.

The theses of his fellow students who graduated before him could be found online, and he had even attended their graduation defenses in person. Naturally, he knew very well what Director Tian’s requirements were and where his shortcomings lay.

Simply put, he spent four full years concluding one thing: he was not suited to scientific research!
"So, little junior brother, you must pay more attention to this matter of senior brother. If you can let Elder Yuan give me some advice, senior brother will be very grateful."

"Well, senior brother, I will try my best to beg Grandmaster!" Qiao Yu promised solemnly.

　Thanks to Shopee for the reward and encouragement!

　　PS: The 27th day of updating words has been completed!
　　
　
(End of this chapter)