From small town academic to chief scientist

"Everyone should like it if we rearrange history books and literature books to include the writing, culture, and history of all countries."

Qiu said with deep meaning.

The man in the black executive jacket said:

"Don't you big guys in the math world also like to do this kind of thing?"

The two looked at each other and smiled, saying nothing.

That's right, both Milnor and Purcell have published books. No one can escape the shackles of fame and fortune.

"I hope he can achieve something, at least better than Terence Tao. Terence Tao is a versatile mathematician and can apply it. I really hope we have such a person in our own country."

The man in the black executive jacket had a sigh of relief.

Qiu Chengtong:? .

If Zhou Yi's life is a cheat, Tao Zhexuan's life when he was young was more like a cheat, spanning multiple fields of mathematics.

Won the gold medal in mathematics at the International Mathematical Olympiad at the age of 13; received a bachelor's degree from Flinders University at the age of 16; received a master's degree from Flinders University at the age of 17; received a doctorate from Princeton University at the age of 21; worked as a professor at the University of California, Los Angeles since the age of 24. .

No novel would dare to write about winning a gold medal in the International Mathematical Olympiad at the age of 13.

This record has never been broken so far.

But in terms of mathematical achievement, Tao is still far behind Qiu.

After a long journey, Zhou Yi finally got into Tan Mingming's car and arrived at Princeton.

After renting a yard and settling everything, Zhou Yicai had dinner with Tan Mingming.

"Junior brother, I really didn't expect you to come here to study for a Ph.D., I thought you would directly graduate and stay at Shuimu University."

Tan Mingming said.

Zhou Yi took the words and said:

"Zhou's analysis method has reached a bottleneck. It needs to communicate with more people and get some new ideas. Otherwise, those old guys who have been famous for a long time may use my stuff and get some results faster than me."

Tan Mingming smiled and said:

"Does Maynard of Oxford University know?"

Zhou Yi nodded and said:

"Of course I know. I am half of my peers. This year's Fields Medal winner has solved the Duffin-Schaeffer conjecture in Diophantus that has not been solved for 80 years."

Tan Mingming said with a hint of evil smile:

"I heard that he was studying the twin prime number conjecture. He used Mr. Zhang Yitang's paper to directly reduce the number of 70 million to an interval of 600. Maybe he used your Zhou analysis method to directly prove the twin prime number conjecture. Woolen cloth."

Zhouyi:...

Since its creation, this analytical method will definitely be used as a tool by countless people. It just depends on the research direction and how to expand it.

Zhou Yi said with a hint of helplessness:

"What else can we do? Don't let them use it? Or compete with them in speed?"

Tan Mingming even said with a bad smile:

"Ivanets, do you know?"

Zhou Yi nodded, rolled his eyes, and said:

"I know, he reviewed my Bill Zhouyi Theorem papers."

"He is using your analytical method to study Goldbach's conjecture."

Tan Mingming said with a wicked smile,

"Are you in a hurry?"

Zhouyi:...

"I need a hammer urgently."

"Not only Ivanets, but also Goldfield are working hard to expand your analytical method and try to prove Goldbach's conjecture. Many people are even trying to prove the ABC conjecture."

Tan Mingming was afraid that Zhou Yi wouldn't know, so he told everything he knew.

Zhouyi:...

After all, I am at LV5 in mathematics and am still a pioneer, but I don’t have any ideas. Zhou Yi doesn’t believe that you people have any ideas.

Well, there might be hope for that Maynard.

These people have been famous for a long time. According to the previous level classification of Zhouyi, the lowest level is LV4.

Tan Mingming looked at Zhou Yi who was speechless and asked:

"So have you decided on the direction of your research? Deligne has a profound knowledge of Grothendieck, so it will be easy to go in this direction."

Zhou Yi also looked forward to it, Grothendieck, that was the Pope.

The only person of papal rank.

Pierre Deligne is amazing enough. He has won all the medals in mathematics, and the only grand slam alive (Fields Medal, Abel Medal, Wolf Medal, Crafoord Medal, Poincaré Gold Medal). quality medal),

However, he was only Grothendieck's apprentice.

The Poincaré Gold Medal is awarded by the Paris Academy of Sciences. This award is only awarded in exceptional circumstances and has only been awarded three times since 1962.

Zhouyi said:

"No, I'm going to perfect my analytical method, and then conquer the 3n+1 conjecture or the twin prime conjecture. I don't care who is studying these two conjectures, anyway, I will prove it one step ahead of them. God will kill God if he blocks it, and Buddha will kill if he blocks it. Buddha!"

Zhou Yi said with rare ease.

Tan Mingming looked at the 19-year-old boy and saw that there was no problem in being in the second grade. Mochizuki Shinichi was already old, so he was also in the second grade.

A man is a boy until he dies.

"Good luck to you then."

Tan Mingming said.

With the work of Zhang Yitang and the work of Zhouyi's analytical method,

The twin prime conjecture has been listed as a topic by many people, and it is likely to be solved within the last year or two.

Zhou's analytical method is equivalent to creating a new framework. Although it is not perfect, it has great potential for development.

Not long after, Zhou Yi quickly met his two future teachers, one was Pierre Deligne and the other was John Milnor.

Deligne first said:

"Qiu has told us many reasons, so the two of us discussed it. We are not going to restrict your development. You can choose to join my research group, you can join Milno's current research group, or you can choose a direction by yourself. develop.

If you are not interested in either of our topics, you can choose your own direction. The graduation requirements are also very simple. They are the same as Qiu Chengtong’s requirements, which is to prove a world-class mathematical conjecture. "

Milnor also said:

"Actually, I prefer you to study differential topology or K-theory. Proposing conjectures is more important than proving conjectures."

In mathematics, K-theory is a tool used in many fields. In algebraic topology, it is an anomalous cohomology,

In physics, K-theory, especially twisted K-theory, appears in Type II string theory, where it is speculated that they can be classified into D-branes, Ramon- Ramond-Ramond field and some spinors on generalized complex manifolds.

The earliest discoverer of this theory was Alexander Grothendieck.

Zhouyi said:

"Thank you two teachers for your kindness. I would like to study the 3n+1 conjecture or the twin prime conjecture or Goldbach's conjecture."

The two of them were not too surprised after hearing this.

If Zhou's analytical method is developed a second time and used to deal with some number theory, it will be an extremely beneficial tool.

Many experts in analytic number theory at Princeton are studying Zhou's analytic method.

Some people who are interested in classical geometry are even studying Zhou's geometry.

"Okay, I've told you the graduation requirements. With your talent and your development of analytical methods, it's not difficult to graduate.

But if you indulge in extravagance and waste your talents here, you may not be able to graduate in a few years. I'm even more sorry that Qiu Chengtong planned so many things for you. "

Milno said to Zhou Yi in a warning tone.

If you want to become a new generation of mathematics masters, you may have to form your own school of thought like Schultz.

Milnor had to remind him.

Deligne said again:

"Since you are still young and have a youthful and frivolous temper, I will let you think about it for three days and give us your final decision after three days."

Zhou Yi respectfully said:

"Okay, teacher."

"Tan Mingming has already taken care of your admission procedures. In view of your contribution to mathematics, Princeton will also give you a full scholarship. Don't worry about financial issues.

However, I also have the same view as Professor Milnor. I hope you stay true to your heart and don't waste your talents. Being talented and having great achievements are two different things. "

Deligne, as one of the tutors of the Book of Changes, also taught very seriously.

Mirno is over 90 years old, and Deligne is almost 80 years old. In their turbulent lives, they have met many geniuses, and they have also met many Chinese geniuses, such as Qiu Tao and Qiu Tao.

But Zhou Yi's talent is much better than that of Tao, who became famous at a young age.

Or in the future, Zhou Yi will be able to do what they failed to do.

For example, prove the Riemann Hypothesis, or be bolder and solve all the remaining six Millennium Problems (including the Riemann Hypothesis).

Winning an award is nothing. They hope that Zhou Yi will become someone like Alexander Grothendieck, perhaps better than Grothendieck.

Zhouyi still has 70 years left.

Where mathematics will go in the future and how it will develop may be more meaningful than winning prizes.

Nothing is more exciting than the history of developments that will guide the next hundred years of mathematics, and perhaps more.

Zhou Yi could feel their concern and said:

"Okay, thank you two teachers."

Milno seemed to have thought of something, and he was somewhat aware of Zhou Yi's thoughts, and said:

"Harold Hoofgot seems to be using your analytical method to study the Strong Goldbach Conjecture."

Zhouyi:! ! ! .

"I will work hard."

"Okay, so be it."

Deligne said lightly.

"goodbye teacher."

As Zhou Yi walked, he thought about this fierce man and Goldbach's conjecture.

In 2013, Harold Hoofgot had completely proved the weak Goldbach conjecture.

The Yingguo mathematician Hualin first proposed the following form of Goldbach's conjecture in his book "Meditations on Algebra" published in 1770:

1. Every even number greater than 2 is the sum of two prime numbers;

2. Every odd number is either a prime number or the sum of three prime numbers.

The second point is the weak Goldbach conjecture.

A standard modern version looks like this:

I. N= P_1+P_2; when (N≥6) is an even number;

II. N=P_1+P_2+P_3, when (N≥9) is an odd number, where P_i are all odd prime numbers.

If conjecture I holds, then for an odd number N, we can express N-3 as the sum of two odd prime numbers, so conjecture II holds. That is, Conjecture II is a corollary of Conjecture I. One reason for retaining Conjecture II is that the conjecture can be formulated formally for both odd and even numbers.

Zhou Yi shook his head and couldn't help but smile bitterly. Fortunately, he had time. If he had been at Shuimu University and not communicated with the outside world, he probably wouldn't have known that these people had already begun research.

However, it may be more useful to study the 3N+1 conjecture at the moment.

After all, we have to take into account the popularization of scientific research assistants, which is an invisible task.

It is also an important part of Zhou Yi's layout of scientific research assistants.

After all, the 3N+1 conjecture is a household name in Ugly Country. As long as it causes a sensation in Ugly Country, it will definitely cause a sensation in Europe. The mathematical level may not reach LV6 by then, but its influence is not weak.

As for Goldbach's conjecture, it should be time to start researching it after returning to China.

Tan Mingming moved directly with Zhou Yi because Zhou Yi lived alone in a courtyard.

It's a companion.

A man in his forties still doesn't have a partner, and Zhou Yi couldn't help but lament that this guy might have to live with mathematics until he grows old.

"came back?"

Tan Mingming saw Zhou Yi return with something in his hand.

"Well, I have determined the direction of my research."

Zhou Yi said.

Tan Mingming immediately became interested and asked:

"What should I say, follow Deligne to continue studying the standard conjecture and contribute to solving the Riemann Hypothesis, or follow Professor Milnor to do the project?"

Zhou Yi shook his head and said:

"No, I'm going to solve the 3N+1 conjecture."

Tan Mingming:...

"Okay, Professor Peter Sarnak is an expert in this field and the winner of the Wolf Prize in 2014. You may gain a lot from more discussions."

Tan Mingming seemed to have thought of something and told Zhou Yi.

Zhou Yi's eyes lit up. Didn't he come here just to communicate with some big guys?

Generally, old guys who have lived for decades have a lot of ideas. This is some of the heritage they have left for themselves after living for decades.

Zhou Yi was young and had few opportunities for trial and error, and he had even fewer mathematical ideas and tools.

If not for the blessing of the initial inspiration, the time to perfect the analysis method would have been extended.

"Send me a copy of his class schedule. Senior brother, you are both professors, so you can definitely get one."

Tan Mingming complained:

"I'm just a humble associate professor, and I don't dare to compare with them. I've given you the class schedule."

"There are also course schedules for Feuerman, Philip Griffith and others. You must know the former, who graduated with a doctorate at the age of 20 and is a winner of the Fields Medal and Wolf Medal. The latter is also a Wolf Medal winner."

Zhouyi said:

"Okay, thank you, senior brother."

"Korean-born mathematician Xu Ji'er, I have also sent you the course schedules of this year's Philippine Prize winners, as well as the course schedules of some of the Philippine Prize, Abel Prize, and Wolf Prize winners from the Institute for Advanced Study in Princeton."

Tan Mingming said.

"Well, okay, thank you, senior brother."

In the next few days, Zhouyi had a very fulfilling life. He basically did not miss any important lectures. He even had a long chat with Peter Sarnak.

"Maybe the analytic method can be turned into a complex analytic method. The shortest way to communicate between two truths in the real number field is often through the complex number field. Why don't you think about it along this line of thinking?"

Zhou Yi was puzzled and said:

"Is it the 3n+1 conjecture equivalent function equation proved by L. Berg and G. Meinardus?"

Peter Sarnak laughed:

"It seems that you have also done some research. This may be a good idea. Wouldn't it be great to use the analytical method you have?"

Zhou Yi did not deny or admit it. It takes a lot of research to know whether it is feasible. Zhou Yi said:

"Thank you, old gentleman, for clarifying my doubts."

"You're welcome, young genius. The report on Bill's conjecture was really brilliant."

Peter Sarnak seemed to remember that time again, and praised unabashedly,

"They are all busy solving the Polignac conjecture, Goldbach's conjecture and even the ABC conjecture, but I think solving the 3N+1 conjecture first is a good way.

By the way, let me tell you secretly that your master Deligne has the original manuscripts left by Grothendieck, such as "Fundamentals of Algebraic Geometry" and "Draft Program". Milno also has the manuscripts of previous research on Kepler's conjectures. and other manuscripts. "

The old professor said the last few words with a hint of meaning.

Obviously he wanted to see if Zhou Yi was anxious when he heard that others were using the methods he developed to study these problems, or if he wanted to know if Zhou Yi planned to pursue the two directions of differential topology and algebraic geometry.

For some people, omnipotence may mean that they are mixed but not refined, but for Zhou Yi, it may be that they are very proficient in every direction.

He is too young and looks eerily similar to Terence Tao and Fefferman back then, but his achievements are much greater than them.

As for failure, then Peter Sarnak may have been buried.

PS: Please vote for me.