From June last year to now, only half a year has been spent on completing three top mathematics papers, which is already very, very amazing......

Four?

What speed is this?

It is one of the four top international mathematics journals, not an ordinary SCI mathematics journal, even if it is a very good mathematician, it is great to have an article published in two or three years.

More importantly, several papers have dealt with partial differential equations, number theory, function theory, and now this obvious complexity theory.

It's incredible!

Generally, only older professors can be involved in so many fields, and even old professors are all specialized in one field, and it is difficult to have results in multiple fields.

Other than that......

Wang Hao can be said to be a genius, it's just that he is very powerful, where did this guy named Luo Dayong come from?

They all noticed that the first author of the paper was Luo Dayong.

He was the only author of several top journal papers published by Wang Hao before, which shows that he did the research alone.

Now it is a cooperation with Luo Dayong, who is the first author and must be the main figure in the research, and the introduction is marked with Xihai University.

The graph isomorphism problem is a 'regular problem' in the field of mathematical computing, that is, everyone knows about this problem, but there has been no good solution.

A few years ago, a math and computer scientist at the University of Chicago, named László-Baubowie, announced that he had discovered a mathematical method to determine whether two networks were identical in far fewer steps, that is, he announced that he had solved the graph isomorphism problem to some extent.

However, László-Babowie's study also uses 'fewer more steps', rather than really transforming the NP problem into a P problem.

The difference between the two is that the method László-Baubauie is referring to only simplifies the steps to determine the comparison of complex networks, rather than saying how many steps will be used to 'determine'.

This is a different concept, and the difference is whether the calculation step is determined or not.

If the calculation step is determined, it becomes the P problem, but the calculation of the step cannot be determined, which leads to a problem - it may take one step to get the answer, or it may take exponential steps to not even calculate.

Laszló-Baubauie made three successive results reports, but there were still a few points in the research content that were questioned, and in the end even the results were not published.

Now Luo Dayong and Wang Hao's research together, I don't know how far it has progressed, but to be able to appear in "New Advances in Mathematics", one of the four major mathematics journals, obviously the results must be very amazing.

A lot of people can't wait to look into it.

The next topics revolve around the research of Wang Hao and Luo Dayong, and then briefly introduce them, showing that they have transformed the graph isomorphism problem from the NP problem to the P problem.

This also surprised others.

However, Wang Hao still repeatedly emphasized, "This research is mainly done by Luo Dayong, and I just provided some reference opinions." ”

Qiu Chengwen is also interested in Luo Dayong, because this achievement is really outstanding.

Wang Hao also briefly introduced, "He is the kind of genius who is very focused, and he only does one research in a few years." ”

"Hahaha~~"

This statement made Qiu Chengwen laugh, "You are a person who publishes four top magazines in more than half a year, and it is really interesting to say that others are geniuses." ”

"It seems that this Luo Dayong is really a genius!"

Qiu Chengwen is of course also a genius.

Every Fields winner can be said to be the ultimate genius, in the Fields recipient group, what began to learn to write at the age of three, began to read on his own at the age of five, went to college in his early tens, and graduated with a doctorate before the age of twenty...... A whole bunch of similar resumes can be found.

For example, Pete Schultz, who normally went to college at the age of 20, a little later than most ordinary people, graduated with a doctorate at the age of 22.

This kind of resume can be described as 'fairy'.

Qiu Chengwen's resume is also quite impressive, he graduated from college at the age of 20, and at the age of 22, he received a doctorate in mathematics from the University of California, Berkeley, under the tutelage of the famous mathematician Chern.

At the age of 25, he became a professor at the Institute for Advanced Study in Princeton, a famous mecca of mathematics.

At the age of 32, he won the Fields Medal.

Even Qiu Chengwen, who is so genius, was quite surprised to see that Wang Hao could complete so many top mathematical achievements in just over half a year.

But Qiu Chengwen is not like others, looking at Wang Hao from the perspective of a 'fairy', he can understand, because when he was young, he was regarded as a 'fairy' by others, just like Wang Hao.

No doubt.

Wang Hao, a very special genius, has already exuded the atmosphere of winning international mathematics awards, and he also thinks that it is only a matter of time before Wang Hao wins Fields.

But what Qiu Chengwen talked about next with Wang Hao was not his mathematical paper published in the top journal, but a paper that was not very well-known--

Solving Thirteen Types of Partial Differential Equations.

This paper was about to be forgotten by Wang Hao, but it was specially mentioned by Qiu Chengwen, and he said with admiration, "This paper is simply amazing, many people in our center have read it, and I have recommended it to others." ”

"You also have two previous papers on partial differential equations, both of which are very classic."

When he saw Wang Hao's puzzled expression, a professor next to him explained, "The wonderful thing about this paper is that it covers many types of partial differential equations. ”

"Solving partial differential equations has always been a difficult problem, your paper lists 13 methods of solving, you may not have noticed, this paper has more than 1,000 citations overseas, we have specially downloaded it, but unfortunately there is no Chinese version."

The others nodded their heads.

"Is that so?" Wang Hao felt a little puzzled when he heard this, but it was normal to think about it carefully.

The solution of partial differential equations is certainly not enough for top mathematical research, but the application is very extensive, many research and development fields need to use the problem of solving partial differential equations, some mathematical fields are the same, partial differential equations are a difficult problem, every complex partial differential equation, it is not easy to ask for a solution.

Now there is a paper that covers many types of partial differential equations, and it is natural that it will be welcomed by many people.

If you can find the partial differential equation problem you need to solve in the paper, you can follow the above method to solve the answer step by step.

Qiu Chengwen suggested, "That paper is very practical, and your other two papers are also very practical, I think you can summarize and write a book on equation solving based on these papers." ”

"It's going to be a good seller in the math community, and if there was a book, I would definitely buy it."

"Me too."

"Definitely buy it, this one is too useful for me."

"Professor Wang Hao, hurry up and publish the book, I can't wait."

Wang Hao nodded and said with a smile, "I'll study it when I go back." ”

He felt that Qiu Chengwen's suggestion was very good, indeed like Qiu Chengwen said, his papers are all in English, and domestic indexes can also find papers, but the download still has to go to foreign websites, and there is no Chinese version may be difficult for some people to understand.

If a Chinese version of the book can be published, it may help many domestic scholars.

……

A group of people talked and chatted and visited the Mathematical Sciences Center together.

The interior of the Mathematical Sciences Center is very gorgeous, and the environment can be said to be very comfortable, such as teaching and research rooms, conference rooms, computer rooms, and a discussion center.

The people next to him have also been helping to introduce, and Wang Hao can hear that they probably want to let themselves work in the mathematics center.

This is a disguised way of poaching.

But Wang Hao still didn't consider coming to the Mathematics Center, and the environment of Xihai University is definitely not as good as here, but the Mathematics Center belongs to Qiu Chengwen.

The establishment of the Mason Mathematics Science Laboratory at Seohai University is equivalent to the establishment of a mathematics and computer center around him, and he is still looking forward to it.

Later, Qiu Chengwen couldn't help but ask, "Professor Wang Hao, have you considered coming to the capital to work?" You must have been at Tunggang University before, right? The capital is developing very well, and we attach great importance to talent. ”

"If you can come and work at the Mathematics Center, you can work directly as an associate professor at Mizuki University."

The associate professor of Mizuki University is definitely not as good as the professor of Xihai University in terms of level, but in fact, whether it is salary, treatment, or in the eyes of most people, it is better than the professor of Xihai University.

Wang Hao still refused directly, "I'm sorry, Academician Qiu, I have no plans to leave Xihai University for the time being, maybe I will consider it later." ”

He also talked to others, "I think the environment in Xihai City is also very good, not as busy as the capital, and there is almost no traffic jam." ”

"And the treatment is also very good, for example, in our university, the ordinary doctor of your mathematical science center can directly sign an associate professor in our university, and the school will also give more than one million yuan in settling-in allowance."

"You know the housing prices in Xihai City, right? There are more than 10,000 in the city center, and more than 1 million can buy a large square meter in full. ”

"And the university is preparing to build a Mason Mathematics Science Laboratory, and the total funding from the state and Northern Xinjiang Province should exceed 50 million, and I estimate that it can be increased, only more, not less, and I have pulled 10 million from the Penguin Group, which can help improve the equipment environment."

"I still want to have a small computing center, I also have a certain amount of research in computers, and a lot of mathematical research also needs to be applied to computers, just like looking for Mason prime......"

Wang Hao said a lot in a row.

The more Qiu Chengwen and the other professors listened, the more they quickly became wrong, especially when they found that there were a few young doctors who seemed to be listening very seriously.

This one...... Won't be reversely poached, right?

Think about it.

If you work at Mizuki University, you can only start as an assistant researcher and an ordinary contract lecturer, and if you go to Xihai University, you can sign an associate professor directly, and you can also have a settlement fee of more than 1 million yuan.

And the level of colleagues is also very high, such as Wang Hao and Luo Dayong......

Well, the third one can't think of it.

A professor saw that the topic was a little wrong, and quickly turned it around, "Professor Wang Hao, let's talk about the report of Mersenne primes!" ”

……

The presentation was conducted the following morning.

Wang Hao came a day in advance just to make the time not so rushed.

Mizuki University released the news very early, and by about 8 o'clock in the morning, some scholars who wanted to hear the report came.

The Mathematical Sciences Center is bustling with activity.

This is not a meeting, just Wang Hao made a report alone, and the scholars who came came were all specially here to listen to the report, and there were only more than 100 people, all of whom were professors from various universities, the farthest from Donggang University, and most of the others were scholars from universities in the capital.

Wang Hao also arrived at the Mathematical Sciences Center very early, and he met the scholars who listened to the reports, shook hands with them, and greeted them respectively.

When he walked in front of an old professor in his fifties, Wang Hao raised his hand and was stunned for a moment, and the old professor stared at Wang Hao with obvious excitement.

"Teacher Pan?" Wang Hao reacted quickly.

He has met several faculty members of Donggang University, but Pan Weiguo is definitely a very special one, because Pan Weiguo is his doctoral supervisor.

The relationship between the tutor and the student is either close or not.

Pan Weiguo and him belong to the type that is very close, but after leaving Donggang University, he has not been in contact with Donggang again.

Now that he can see Pan Weiguo, Wang Hao is also very surprised.

"Wang Hao!"

Pan Weiguo held Wang Hao's hand, patted his arm with his hand, and said with excitement, "I haven't seen you for a while, you have made so many achievements during your time at Xihai University, it really gave me a long face." ”

He even shed two tears as he spoke.

Wang Hao also felt very kind when he saw Pan Weiguo.

Pan Weiguo is the mentor of his predecessor, but he inherited the memory of his predecessor, and naturally he also has a certain amount of emotion, and he also said a little excitedly, "Teacher Pan, I'm really happy to see you again, how are you lately?" ”

"Yes, of course!"

Pan Weiguo's face was full of smiles, "Your reputation has been cleared." It's really ......" he was so excited that he didn't know what to say, and said very bluntly, "I have the face to listen to your report." ”

The two talked.

Only then did the people next to him know that Pan Weiguo was Wang Hao's mentor, and what they were talking about was obviously the Donggang experimental incident.

Pan Weiguo continued, "It's a pity, Huang Yichun's guy was only demoted by half a level, but it can be regarded as a solution to his hatred, before I came, I met him on the road and scolded him, and he didn't even dare to say a word." ”

"Let me tell you, as long as he Huang Yichun is at Donggang University, he won't be able to raise his head for the rest of his life!"

Pan Weiguo's voice was a little harsh, and what he said seemed to be a little serious, but it was actually the truth.

In fact, the reason is still on Pan Weiguo and Wang Hao, Huang Yichun decided to dismiss Wang Hao, and as a result, after Wang Hao left Donggang University, he completed one international level of great achievements.

Donggang University investigated the Donggang experiment incident and found that it had nothing to do with Wang Hao at all.

This made Huang Yichun very embarrassed, which was equivalent to saying that he decided to dismiss a genius from a school for the wrong reason.

Pan Weiguo's words of scolding Huang Yichun as a 'sinner in Donggang' spread out, and many teachers and staff in the school talked about Huang Yichun and felt that he was a sinner in Donggang.

The greater the achievements of Wang Hao, the greater Huang Yichun's crimes, because those achievements have nothing to do with Donggang University, and people will mention this matter whenever they talk about Wang Hao.

What is this not a sinner?

Pan Weiguo must have been relieved, and when he knew that Wang Hao was going to give a report at the Mathematical Science Center of Shuimu University, he decided to come over.

When the master and apprentice meet, they naturally have a lot to say.

But now is not the occasion to speak, after the two exchanged pleasantries for a while, Wang Hao went to prepare a report.

Ten o'clock.

The presentation took place in the conference hall of the Center for Mathematical Sciences, and the audience was probably less than 200 people.

Among them are a few foreign faces, but also faculty members of the Center for Mathematical Sciences.

So Wang Hao didn't have to say anything English, he simply made a report in Chinese, and he also made a special mention, "Most of the people present are more proficient in Chinese, so I will make a Chinese report, if someone can't understand, you can go to see the report record, there should be a translator, right?" ”

Wang Hao said that the last sentence looked at a professor on the left, who was in charge of the entire reporting process and other things.

The professor nodded.

Qiu Chengwen also said, "It's okay to make a report in Chinese." ”

Wang Hao stood on the podium, he used the teaching coin, and the effect was used in the step-by-step study of the prime number of 'task three'.

Subsequently, the report officially began.

"You all have my paper in hand, so I'm going to talk about the relationship between these two functions and Mersenne primes."

"One of them is a function for calculation, and the other is a function for decision."

"Both functions are planar, but the construction is a bit complicated, I will mainly talk about the problem of functions......"

Wang Hao began to explain seriously, and everyone in the audience listened very carefully.

Some of them already understand the function, some don't, and they quickly understand it through Wang Hao's detailed explanation.

These two functions are the results of Wang Hao's research on Mersenne primes, and he just showed the results so that everyone could understand the role of functions.

As for proofs and the like, it is not necessary, because it is just a 'conjecture', and it is impossible to prove that the function covers all Mersenne primes.

The whole explanation process only took about half an hour, and the report was all over.

Now it's time for questions.

Qiu Chengwen, who was the first to speak, said directly, "Professor Wang Hao, can you talk about the shaping methods of these two functions?" I think everyone here is more interested in this. ”

"Shaping method?"

Qiu Chengwen said, "That is, the process of shaping functions, how do you think about it?" Can you make these two functions? ”

Wang Hao suddenly understood that he didn't pay much attention to the process of doing research, but just made judgments according to the ideas in his head, and slowly deduced the function.

This derivation process is very non-standardized, using a lot of vague mathematical theorems, some of which are even guessing the next step.

Because of this, the function shaping process is not very fruitful, but the important thing is that the function can help find the Mersenne prime.

Now many people are concerned about the process of function shaping, and Wang Hao also started to talk about it, "In fact, at the beginning, I did mathematical analysis based on the known Mersenne prime. ”

"Actually, I found the Mersenne prime number first, and then I made the function."

It was the first time for the audience to know this, and they were all a little surprised.

Wang Hao continued, "I have a computer algorithm achievement, which is called effective and irrelevant carry screening. ”

"Using this algorithm, the relationship between numbers can be determined, but this judgment is fuzzy, not completely accurate, and mathematically imperfect proof."

"Of course, my goal is to find Mersenne primes, and here I will briefly introduce the correlation ......"

When it comes to effective and irrelevant screening, it is much more complicated to explain.

Wang Hao only roughly explained the screening process, starting with the screening process and shaping two simple columns.

Then according to the step-by-step derivation of the columnar formula, it finally becomes a calculation function and a decision function.

The whole process took more than an hour.

Wang Hao paused for a while, and soon continued to devote himself to the explanation, the more he devoted himself to the explanation, the more energetic he became, and it could even be described as 'energetic'.

Because he found that in the process of explaining 'function shaping', there was a constant influx of knowledge and inspiration in his head.

When he couldn't finish explaining, he immediately checked the task system.

[Task 3]

[R&D project name: prime number distribution probability research (difficulty: S). 】

[Inspiration: 91.] 】

"91! It's almost finished! Wang Hao couldn't help but get excited, and even wanted to continue to talk about it.

It's a pity that there is really no content.

Many of the old professors who listened to the audience for more than two hours felt very tired, and then looked at the energetic young people on the stage, and suddenly couldn't help but sigh, "It's old!" ”

"I'm really old, and I can't keep up with two hours of explanation."

"He is so energetic in his explanation, and we ......"

"Ah~~"

Everything turned into a long sigh.