Research starts with PhD students

Chapter 100 The biggest academic fraud in the 21st century? Confirmed, Jebov's theorem!
In terms of online public opinion, the hot topic #Zhang Shuo and Jebov conjecture# has a strong effect in diffusing public opinion.

This probably has something to do with the content.

Research in the academic field, especially advanced mathematical research, is unlikely to have any diffusion effect in public opinion. Most people just glance at it and pass it by if they don’t understand it.

The Gerbov conjecture, unlike other complex mathematics, is easy to understand.

Zhang Shuo's previous research was in the field of computational mathematics and partial differential equations. Whether it involved algorithms for CP violation signals, general algorithms for second-order PDE equations, or boundary arguments for the Monge-Ampere equation, you can tell from the titles that they were extremely complicated.

Most people don’t even know what a partial differential equation is, let alone understand the Monge-Ampere equation.

Many people's impression of Zhang Shuo is that he is "very good at mathematics", "his research is very difficult and the content is completely incomprehensible", or "he can do such advanced research, so his master's thesis cannot be plagiarized."

The Jebov conjecture is different. The conjecture states that "there are prime numbers between N and (N+1)."

Prime numbers and square numbers are both mathematics taught in elementary and junior high schools. As long as you understand these two concepts, you can understand the Gerbov conjecture.

This also provides a basis for the spread of public opinion on its content.

Many people admired Zhang Shuo's genius and expressed their opinions on the Gerbov conjecture. "Although I don't know how to prove it, there are indeed two prime numbers between four and nine, and five prime numbers between nine and twenty-five."

"You can give any number of examples, they all exist, do you need to prove it?"

"I just searched and found a lot of evidence on the Internet. Hasn't it been proven?"

A professional scholar replied, "That's all amateur science. They usually use the prime number theorem, but it's not feasible to use the prime number theorem to prove the Gerbov conjecture."

No one paid attention to this answer.

Most people don't care whether it works or not, they just discuss the problem for a few sentences.

As for whether it is right or wrong, who cares?
For a time, Zhang Shuo became an "academic celebrity" on the Internet, and the next day, he also experienced the celebrity effect.

Before he gave the report yesterday, few people in the conference hall knew him. But now, on the way from the hotel to the conference center, several people greeted him, some of whom were local residents.

After entering the conference center, some people even came over to chat with me, saying, "It's amazing, you have achieved such great results at such a young age!"

“Pure mathematics, especially number theory, is truly the domain of the young!”

"I also listened to your report yesterday. The prime number test method was okay, but I didn't understand the rest. When will your paper be published?"

"Your previous research was all computational mathematics, but this time it's number theory. Is that a change of direction?"

Zhang Shuo also talked a few words to the people he met.

They went to the small square in front of the venue. He and Luo Yongjun were going to Hall No. 7 to listen to the report, while Sun Xingli was going to Hall No. 4.

They are going to separate.

Sun Xingli exhaled lightly and sighed, "Finally, I have to separate from you."

"Zhang Shuo, the great genius!"

"I really don't want to walk with you. We were supposed to be doing research together, but I ended up being invisible..."

He said this and left quickly.

Zhang Shuo smiled indifferently and continued to go to Hall No. 7 with Luo Yongjun.

Hall 7 is a special session for partial differential equations. Every report is a study in this area. Relying on the functions of the system tasks, every complete report can give him a lot of insights.

It's like my knowledge and understanding of the field of partial differential equations are constantly improving.

At the same time, listening to the report can also improve the progress of the "ns equation numerical simulation" task. Some research related to computational mathematics will significantly improve the progress of the task, and some pure mathematical arguments are also helpful.

[Task three, progress +0.347%. ]

[Task three, progress +0.299%. ]

[Task Three, Progress +...]

This progress is much faster than doing research on his own, so Zhang Shuo listened to the report very seriously.

While listening to the report, he also found some problems. When it came to the question-and-answer session, he asked directly, "Is your boundary cross-section argument not perfect? ​​There is a bulge at the very edge."

"So it is impossible to determine the complete smoothness of the solution..."

He was very sure.

This sentence also directly denies a study on the properties of solutions to high-order partial equations.

Another report was about studying numerical calculations with the discrete Fourier transform method as the core. Zhang Shuo directly pointed out the incompleteness of the subsequent argument logic. "The equations obtained by the discrete Fourier transform method cannot determine the asymptotic problem after substituting numerical values ​​for calculations."

He talked about the conflict between discrete Fourier transform and the problem of asymptotic properties, and pointed out that the research method is not as good as using conventional discrete Fourier transform to input numerical values ​​for calculation.

Two speeches, denying two reports.

Jiang Weizhi, who was sitting in the front judging panel, wanted to invite Zhang Shuo to come over because Zhang Shuo always found the key problem.

In fact, he also discovered the problem the next time, but he didn't fully understand it, so he didn't speak.

As a result, Zhang Shuo said it directly.

“That’s amazing!”

Jiang Weizheng could only sigh; his identity was very embarrassing.

Firstly, he is the dean of the School of Mathematics at Donggang University. Secondly, he is also Zhou Kaijun's teacher.

Every time Zhang Shuo made a speech, the looks from others seemed to say, "There is no more disciple with such a talent."

"What a pity!"

"Your disciple is so powerful, but he has been expelled from the sect by your disciple..."

Jiang Weizi was getting a little restless. He thought to himself that he would not come here in the afternoon and go directly to Hall No. 2 of Differential Geometry.

He didn't want to go to Hall 2 because Qiu Chengwen was there.

In the field of differential geometry, Qiu Chengwen is the real top figure. He won the Fields Medal for his research in this area.

In contrast, Jiang Weizheng has no say at all.

But compared to the weird looks from other people, it doesn’t matter whether I have the right to speak or not.

Zhang Shuo pointed out the key issues in the two reports, which caused scholars who gave subsequent reports to look over frequently, as if they were afraid that Zhang Shuo would suddenly stand up and point out problems during their explanations.

They felt that Zhang Shuo was even more intimidating than the experts on the jury.

In one morning, Zhang Shuo listened to seven reports in a row. He felt a little tired, so he left the lecture hall early and went to the restaurant.

In the small square of the conference center, they met Sun Xingli again.

"Why are you here?"

Luo Yongjun took two quick steps and asked in confusion.

Sun Xingli stood up energetically, "I'm tired of listening to the report, let's go out and get some fresh air. Let's go eat together!"

They walked towards the restaurant together.

Luo Yongjun asked, "Didn't you say you wouldn't join us?"

Sun Xingyi pursed his lips tightly and sighed, "When I'm with Zhang Shuo, I'm indeed invisible, but at least the people who talk to Zhang Shuo can still recognize me after introducing me to them."

"If I wasn't with Zhang Shuo, no one would know me..."

His voice was full of resentment. In the morning, when I walked with Zhang Shuo, some people would ask, "You are Professor Sun who did research with Zhang Shuo, right?"

"Nice to meet you."

He went to Hall No. 4 by himself and sat in a conspicuous seat near the door, but no one recognized him.

Everyone just glanced at him and walked away.

He returned to obscurity.

……

The heat of domestic public opinion has cooled down by this day.

However, the news spread abroad.

In fact, there has always been news about Zhang Shuo in foreign media, mainly because Grayward said in an interview that Zhang Shuo and Agostini had deceived the physics community together.

Later, the plagiarism of the thesis was also uncovered.

A reporter interviewed Francisco Filifo, the head of the CP group of the nuclear organization, and Francisco clearly stated, "Boorman is a lunatic!"

"Zhang Shuo, who is working with him, is of course also a lunatic!"

"If not a madman, who would do this kind of research specifically to prove that we can't do it?"

"It's crazy! The whole world is crazy!"

These are Francisco's original words. He did not confirm the reporter's questions, but he did not deny them either, which helped to promote the "conspiracy theory" released by Greyward.

Many people believe in the conspiracy theory that Zhang Shuo and Agostini deceived the physics community together.

Even though Agostini's group has shared the algorithm and anyone can find the source code of the algorithm on the Internet, public opinion does not care about issues in the academic circle, and many people simply do not look at other people's opinions.

Conspiracy theories are the only ones that can generate public opinion.

One is a young man from China, and the other is a famous madman in the field of high-energy physics. Together they used an algorithm to deceive the entire physics community. How interesting does it sound?

So, this thing must be true!

When the news about the Gerbov conjecture spread to the international community, a small media outlet directly reported, "The Chinese who deceived the physics community and claimed that he had completed the proof of the Gerbov conjecture is now planning to deceive the mathematics community?"

"If the mathematics community is also deceived, he can be called the 'biggest academic fraud of the 21st century'!"

Many people who saw the news expressed their opinions.

These views are divided into two opposing directions. One is that the news feels extremely absurd. How could so many scholars and geniuses in the fields of physics and mathematics be deceived?
They continue to popularize science. "Zhang Shuo and Agostini's algorithm research was confirmed by the ICHEP conference, which is the most authoritative conference in the field of high-energy physics."

"It is unknown whether the proof of the Jebov conjecture is right or wrong, but whether it is correct or not is judged by professional mathematics institutions. Mathematics is the field of genius with the most people, and in mathematics, right is right and wrong is wrong. There is no such thing as cheating."

"There are still people who believe this kind of news. I am really worried about your IQ..."

The other group is the conspiracy theorists. "It's hard to say. The algorithm is so complicated. Who can be sure it is 100% correct? As long as it is a program, there will be bugs. Maybe they set some tricks to influence the output results."

"Is there no deception in mathematics? There have been wrong mathematical proofs in history. The proof of Fermat's conjecture may be wrong because no one can understand it."

"Those particles, protons, and neutrons that high-energy physics talks about are all fake and don't exist at all!"

"These physics studies are all conspiracy!"

There are many similar opposing views in foreign public opinion.

The academic community will not believe in any conspiracy theories, as that would be tantamount to denying themselves. Many people also learned through public opinion that Zhang Shuo gave a report on the proof of the Jebov conjecture at the Mathematical Society meeting.

This news is very shocking in the mathematics community.

The Gerbov conjecture is related to the distribution of prime numbers, and such a major research result will naturally attract attention.

After receiving the news, the editorial department of New Advances in Mathematics immediately sent an email to Zhang Shuo, hoping that he could publish the paper in New Advances in Mathematics and promised to contact the best mathematicians for review.

Zhang Shuo saw the email and told Luo Yongjun and Sun Xingli, "Do you want to submit it to Advances in Mathematics? Their attitude is pretty good."

"It's a bit off, isn't it?" Luo Yongjun said, "Don't worry, I also received an email from the Annals of Mathematics."

"what?"

Zhang Shuo and Sun Xingli looked over together.

Luo Yongjun explained, "I'm looking for a manuscript on the proof of the Gerbov conjecture, and they also said they would find the best reviewers."

"Why send it to you?" Sun Xingli was a little confused.

"The Monge-Ampere equation is a research project that Zhang Shuo and I conducted together. I submitted the paper using my email address. They probably thought that Zhang Shuo could see the information in this email address."

“Indeed.”

Sun Xingli said distressedly, "It is really difficult to make a choice. I met Academician Qiu today. He recommended the Journal of Mathematics and said he could help me find reviewers directly."

"Acta Mathematica Sinica and Annals of Mathematics are both top-notch. It's really hard to choose!"

As he spoke, he grabbed his scalp hard. His obviously artificial movements and expressions made Luo Yongjun want to kick him.

This guy is just showing off!

The next day, they found that they didn't have to worry about it for the time being, at least not about the review issue.

Zhang Shuo and Sun Xingli have already made reports at the Mathematical Society conference. The Mathematical Society still has some influence internationally.

If the impact were a little bigger, the research would basically be finalized.

Unfortunately, it’s still a little short.

The Princeton Institute for Advanced Study and the Newton Institute have successively sent messages to the Mathematical Society, saying that they hope to obtain the paper proving the Gerbov conjecture and the conference video of the report.

They seemed to be eager to see the content.

The Mathematical Society asked Zhang Shuo and Sun Xingli, and after receiving a positive response, they sent the proof paper and video over.

Then, you can wait for the results.

Whether it is the Princeton Institute for Advanced Study or the Newton Institute, as long as one institution confirms their research, they can directly determine that the proof has been completed. There is no need for review when submitting the paper to an academic journal, and they can directly jump the queue for publication.

Soon, three days passed.

The meeting has ended.

Zhang Shuo, Luo Yongjun and others returned to Sudong with a group flight. After getting off the plane, they were surprised to see the people sent by Sudong University to pick them up.

Among them are Gao Ming, Wang Duoju, and Professor Wang Hui of the High Court?
"Such a big battle?"

Tan Youming and Qi Zhixiang were a little confused about the situation, so they hurried over to ask Wang Hui.

Wang Hui said, "I came here voluntarily."

"Just an hour ago, the Institute for Advanced Study at Princeton confirmed the proof of Zhang Shuo and Sun Xingli."

"The school is holding a meeting about this!"

Wang Hui said as he walked towards Zhang Shuo and Sun Xingli, "Congratulations!"

"Professor Zhang, Professor Sun, your research has been officially confirmed, and the Jebov conjecture is a thing of the past!"

"It will become the Djeboff theorem!"

(End of this chapter)