Research starts with PhD students

Chapter 178 You call this a ‘little’ achievement! !?
In the restaurant.

A group of people sat around Zhang Shuo, including a group from Suzhou University, as well as professors from several domestic universities such as Deng Lai and Zhang Yonglong.

Everyone was talking about winning the award. "Congratulations, Zhang Shuo!"

"This is the first Fields in the country, and it's also a history. To be honest, when I was sitting in the audience watching the award ceremony, I felt like I was dreaming..."

Qi Zhixiang shook his head and said.

Wang Hui was a little confused and asked immediately, "Zhang Shuo won the award, what were you dreaming about?"

"I can't believe it!"

"what?"

Qi Zhixiang explained, "I can't believe that the first Fields came from our Sudong University, and he's someone I know!"

Wang Hui immediately said, "Now that you mention it, I feel a bit like I'm dreaming. The Fields Medal winner is actually right upstairs from my office!"

"I feel like I'm dreaming right now. A Fields Medal winner is actually sitting next to me!"

"None of you can do that!"

Luo Yongjun patted his chest vigorously and laughed, "My students, winning the award is not a matter of course!"

Sun Xingli immediately said sarcastically, "Before leaving, I heard you scolding Liu Chengjie, saying that if he continued like this, he would not be able to graduate..."

Luo Yongjun's face suddenly turned dark.

The others burst into laughter.

Sun Xingli continued jokingly, "I can't believe that I won the Fields Medal!" He took out his mobile phone and showed others the photos of himself standing on the stage and holding up the medal.

Zhang Shuo still helped take a few photos.

Qi Zhixiang, Wang Hui, and even Luo Yongjun all looked over, and their tone of voice turned sour, "Isn't it just a photo? You're showing off."

"That's right, what's the big deal?"

“It’s not like you won the award.”

"shameless!"

Several people said this, but when they saw the photo of Sun Xingli standing on the Fields stage holding the medal, they couldn't help but feel envious.

This kind of opportunity to check in and take a souvenir photo will most likely never come again in your lifetime.

Young people are still smart!

Sun Xingli didn't care what other people said. He held up his phone and continued proudly, "Hurry up and post it on WeChat Moments and Weibo to congratulate myself on winning the Fields Medal and take advantage of Zhang Shuo's popularity."

He said, "Have you all watched the news? Zhang Shuo...has exploded!"

"What exploded?" Zhang Shuo asked in confusion.

"Just look at it and you'll find out."

A group of people immediately took out their phones to check and found that Zhang Shuo alone occupied several hot search terms. It seemed that every detail of the award ceremony was worth discussing.

"It turns out there are so many details. I was there, but I didn't notice them."

"Zhang Shuo, you actually discussed math problems with Calvalis on stage?"

"Are you kidding me?"

"It's interesting to see this trending search, saying that Zhang Shuo was calm and composed when winning the award. If it were me, I would definitely be shaking with excitement."

"In the interview, he said he was a little happy. I know that. I heard it from the side..."

The other side of the restaurant.

People from the domestic mathematics society delegation also gathered together, including several other scholars, including Yao Wenhua, Ying Zhaoxi, Jiang Weizheng, and Zhou Kaijun.

The core of the opening ceremony of the International Congress of Mathematicians is the award ceremony. Domestic and foreign scholars in the restaurant were discussing the award issue.

However, the atmosphere here seems very cold.

Many people wanted to say something, but after glancing at Jiang Weizheng and Zhou Kaijun, they ended up saying nothing.

Peng Ruochuan came over and was asked to sit down.

He was also a member of the Mathematical Society delegation. After sitting down, he found the atmosphere a bit cold. After thinking about it, he realized that the reason was Jiang Weizheng and Zhou Kaijun.

Peng Ruochuan didn't care what the other party thought and said directly, "I never thought that only one year later, the young man who gave the report at the annual meeting has already won Fields, leaving us old guys far behind!"

He shook his head and sighed, "It was obvious at the beginning. The report at the annual meeting solved the Jebov conjecture and became the most important report in the history of the meeting."

"I just didn't expect it to be so fast. One year, just one year..."

With Peng Ruochuan leading the way, the others followed suit, "Yeah, he got Fields in one year, and Zhang Shuo has only been studying for a doctorate for two years, right?"

“Most math PhD students can’t even publish a paper in two years.”

"Old Peng, you know what, we old guys really have the advantage of age."

"..."

The group of people started discussing loudly, which made Zhou Kaijun feel very embarrassed.

One reason was because of the content of the discussion, and also, some people who didn't speak always secretly glanced over here.

He could only pretend he didn't see it.

Jiang Weizhi acted very calm. He did not reject the topic of Zhang Shuo. He also sighed and smiled bitterly, "Mathematics is the field of genius!"

"No matter how many talents we bring in, they are not as good as one genius. Our Donggang Mathematics Center..."

He kept shaking his head as he spoke.

Others also understood what Jiang Weizheng meant.

The Donggang Mathematical Center is a national-level mathematical institution. Its original goal was to become one of the most authoritative mathematical institutions in the world.

They are developing towards this goal and have been moving forward steadily.

In everything, I am afraid of comparison.

In the past two years, top mathematical achievements have all come from the Institute of Advanced Mathematics of Soochow University.

Each one of them is related to Zhang Shuo. The results achieved by one person surpassed those of a mathematics center, even overwhelming the latter, without even the slightest ability to resist.

The Donggang Mathematics Center was naturally greatly affected.

In fact, it is nothing. The domestic mathematics circle is so small that some top scholars will work "part-time" in several institutions. It doesn't have to be a real part-time job, but it's good to just have the title.

For example, Qiu Chengwen from Shuimu University is also a director-level researcher at the Donggang Mathematics Center.

Zhang Shuo, that’s impossible.

After what happened to Zhou Kaijun, it is absolutely impossible for Zhang Shuo to have anything to do with Donggang University or Donggang Mathematics Center anymore.

Many people looked at Zhou Kaijun again.

Zhou Kaijun also felt very embarrassed. He glanced at Jiang Weizi, put down his chopsticks and walked away.

"Whoo~~~"

Many people suddenly felt much more relaxed.

In the master's thesis plagiarism incident, Zhou Kaijun was the direct protagonist. Jiang Weizhong was relatively much better off. He really had nothing to do with the incident and was just Zhou Kaijun's teacher.

They can say whatever they want.

Many people just watched Zhou Kaijun leave and didn't take what happened just now to heart. Only Peng Ruochuan kept paying attention to Jiang Weizheng.

When Zhou Kaijun left, Jiang Weizi didn't even look over.

"Zhou Kaijun..."

"It seems that the Donggang Mathematics Center is going to make some personnel adjustments!"

"Fields, the impact is indeed great..."

Peng Ruochuan guessed.

Jiang Weizheng is Zhou Kaijun's teacher, and they have a very close master-disciple relationship.

Jiang Weizheng has a great personal influence.

Jiang Weizheng has made great achievements in mathematics. He has won international mathematics awards, served as the chairman of the Chinese Mathematical Society, and has mentored many students.

Zhou Kaijun is the most special one among many students.

He is a doctoral student mentored by Jiang Weizhi. After graduation, he stayed at the school and has been working on projects with Jiang Weizhi, and has also achieved many personal results.

After so many years, Jiang Weizhi and Zhou Kaijun have a very deep relationship. However, no matter how deep their relationship is, they are not father and son.

Zhang Shuo’s incident had a huge negative impact on Donggang University. As Zhang Shuo’s achievements grew, the impact had spread to the Donggang Mathematics Center.

When Zhou Kaijun was still in the Donggang Mathematics Center, many people felt that they were in opposition to Zhang Shuo.

This view is extremely unfavorable to the Donggang Mathematics Center.

Zhang Shuo's achievements are too high. He has already won the Fields Medal, and he is the first domestic scholar to win the Medal. He also broke the age record of Fields Medal winners.

He is only 26 years old.

The future can be said to be bright, which means that the East Port Mathematics Center will continue to be impacted.

Previously, Zhou Kaijun was dismissed from Donggang University, but he was able to continue working as a researcher at the Donggang Mathematics Center. Now it is probably impossible.

The researchers at the Donggang Mathematics Center will be dissatisfied, and the associated Donggang University will also be very dissatisfied.

No matter how deep Jiang Weizhi's feelings for Zhou Kaijun are, he must also consider the reputation of Donggang Mathematics Center, Donggang University and himself.

……

In the afternoon, the conference halls were opened.

The International Congress of Mathematicians is a grand mathematics conference. The arrangement of reports is similar to that of domestic mathematics societies, and each branch of mathematics will be allocated a separate lecture hall.

The group from Sudong University also separated.

Sun Xingli went to the lecture hall for number theory, and Luo Yongjun went to the lecture hall for partial differential equations.

Zhang Shuo walked around the venue, listened to a report on geometry research, and then went to Hall 3 for partial differential equations. His personal report was also held in Hall 3.

When I walked into the lecture hall, the person giving a report on the stage was someone I knew - Bent Nelson.

Zhang Shuo immediately became interested and found a seat in the back row and sat down.

Bent-Nielsen's report represented the team in conducting numerical simulations of the transition point from laminar flow to turbulent flow, that is, using the NS equation numerical simulation method studied by Zhang Shuo to analyze the numerical values ​​at the key positions of turbulent transition.

The numerical simulation method of NS equations does not mean that all NS equations can be simulated just by having the method.

That would be limited by the amount of computation.

Overall calculation is also a problem, and the research on each part must be combined with engineering applications.

The research of Bent-Nielsen's team also adjusts the numerical simulation method of the NS equation and applies it to turbulence research, using mathematical and engineering methods to reduce the amount of calculation and increase accuracy.

Such research is just an application, but because it involves the key position of the NS equation, the report is still classified in Hall 3 of partial differential equations.

Many people are interested in research.

The method for numerical simulation of the NS equations is available, but the actual simulation is still a research project, and they are interested in the method used by Bent-Nielsen's team.

Bent-Nielsen introduced the method, elaborated on the key points, and then released the simulation information of the key locations of turbulence transition.

It is a three-dimensional graphic that looks very complicated, but you can see that there are jumps at key positions in the middle.

After Bent Nielsen made the results public, he made a few words of targeted analysis and ended the report.

This made everyone in the lecture hall feel strange.

When many people see the simulation graphics, they immediately judge that there is a singularity at the location of turbulence transition.

This is related to the regularity problem of the NS equation.

Publish the results and then don’t analyze them?
After Bent-Nielsen left the stage, many people who knew him asked, "Don't you think that the results show that the NS equation is not regular?"

"The simulation results are consistent with the engineering research. Doesn't that mean there is a singularity?"

Bent-Nielsen replied, "This is just a numerical simulation, and it cannot prove the existence of a singularity 100%. Mathematical proof needs to be more rigorous. Of course, it is also okay to believe that a singularity exists in engineering..."

“That had no impact at all.”

The singularity problem of the NS equation is a mathematical study and has little significance for engineering applications. Whether a singularity exists will not affect the calculations in engineering applications.

Many people still don’t understand.

They all knew that after Bent-Nielsen's team completed their research, they announced the existence of the "singularity" in a very high-profile manner.

This is not only the result of the simulation, but also consistent with the research in the field of engineering applications. But when it comes to the report at the International Congress of Mathematicians, the proof becomes not rigorous?

Kalvalis was sitting not far from Bent Nelson. He smiled and said, "Because of Zhang Shuo."

"Zhang Shuo?"

The others all sounded somewhat confused.

Bent Nelson also looked over and admitted, "Zhang Shuo thinks it's better not to say there is a singularity."

This sentence made others even more stunned. Is Zhang Shuo's influence so great? He just said one sentence and Nelson did it obediently?
Calvalis smiled and said, "Of course it's because of Zhang Shuo. He has been able to prove that there is no singularity at the location of turbulence transition."

"That's what he said, I'm just repeating it."

"Right on the podium..."

There were a dozen people around Kalvalis, and they all felt the news was a bit fake.

Prove that there are no singularities in the NS equations at the turbulence transition position?
What a level of achievement this is!

Decades ago, some people believed that the NS equations had singularities at the turbulent position, but until now, it has not been truly proven.

The singularity problem of the NS equation can be said to be no different from proving regularity.

There are singularities and no regularity.

It does not exist and has regularity, that is, the solution exists, is smooth and unique.

"impossible!"

"Absolutely impossible!"

"Such a great achievement should have been reported long ago, even Zhang Shuo..."

The discussion quickly spread to the back row.

Many people looked at Zhang Shuo, and one even asked directly, "Kalvalis said that you can prove the regularity of the turbulent transition position. Is that true?"

Zhang Shuo held his forehead with his hand and sighed, "If I had known he was such a big mouth, I wouldn't have said anything."

He added, "My report is tomorrow morning, also here."

"Everyone is welcome to come and listen to the report."

……

The news that Zhang Shuo had proved the regularity of the turbulence transition position of the NS equation and would give a report tomorrow quickly spread from Hall 3 to other halls and throughout the entire conference.

When it was time for dinner, many people asked Zhang Shuo, "Is it true?"

"Have you proved that there are no singularities, mathematically?"

"You will definitely give a report tomorrow, right?"

This also includes Anton Kapustin of Caltech, who is a member of the Mathematical Union jury and directly involved in the selection of the Fields Medal.

Kapustin first "built a relationship" with Zhang Shuo, "I'll nominate you!"

Then he whispered, "Are you sure you've completed the proof? Why is there no news at all?" He added, "Such a big study!"

Zhang Shuo nodded calmly, "Because the research is not yet completed."

"what?"

"I'm talking about the NS equation problem," Zhang Shuo explained. "I've been researching it, but I'm still a long way from a complete proof. This is just a small achievement in my research."

"A little bit of success? A little bit?"

Kapustin's face was full of confusion. He felt like he was being treated like a "Versailles". But he found that Zhang Shuo's expression was indeed very calm and he was not trying to show off.

In fact, Zhang Shuo really didn't care, his goal was to complete all the research.

If he hadn't been giving a report at a mathematicians' conference, he wouldn't even have thought of separating the "regularity of turbulent position" as a separate achievement.

Now that I think about it, the research results are indeed significant.

The study of the regularity of the NS equation involves "endless proof", that is, the infinity in the values, and the need to prove the problem of endless singularities.

In fact, the scientific community is more concerned about the 'singularity transition at the key location of application'.

Turbulence is one of the most prominent problems.

If it can be proved that there is no singularity at the turbulence transition position, the same method can be applied to other physical transition positions, and the singularity problem of the NS equations in the known field can be proved, thus completing the regularity proof of the NS equations in the 'real world'.

This level of research is enough to get another Fields!
(End of this chapter)