Great Country Academician

Hearing this, Professor Deligne was slightly taken aback, and then asked in surprise, "Do you want dual cultivation?"

Xu Chuan nodded and said: "When I was studying in China, I studied mathematics and physics, and got a double degree certificate from Nantah University. I am also very interested in physics. I hope that I can also get in touch with this aspect during my study in Princeton. knowledge."

After thinking for a while, Professor Deligne continued: "Princeton does not support double degrees. Here, you can only choose one subject as your major."

"If you are also interested in physics, then I suggest you take the path of mathematical physics."

"In this regard, Professor Edward Witten is very suitable for you."

"His specialties are quantum field theory, string theory and related topology and geometry, positive energy theorem proofs for general relativity, supersymmetry and Morse theory, topological quantum field theory, superstring compactification, mirror symmetry, supersymmetric gauge field theory , and the conjecture on the existence of M-theory are his physical contributions."

"Although he is a physicist majoring in physics, his mastery of mathematics is comparable to that of few mathematicians. His research in pure mathematics has far-reaching influence and he has won the Fields Medal."

Although a little surprised by Xu Chuan's choice, Deligne still recommended a candidate to Xu Chuan.

It's just that he was a little bit regretful, after all, he originally planned to accept Xu Chuan as a student himself.

In his opinion, this teenager's talent in mathematics is unprecedentedly rare, and it is even difficult to find another rising star in mathematics who can be compared with him.

Even Peter Schultz, who was previously recognized as the most outstanding mathematician of the younger generation, was slightly inferior to him.

After all, compared to the time when he made great contributions, his age is too young.

At the age of eighteen, he can solve a world-class mathematical conjecture.

Although it is impossible to determine what kind of peak he will reach in the academic world in the future, but looking at it now, there are only a few people who can be compared. Looking at history, there are only a few people throughout the ages.

Such a genius, Professor Deligne naturally hopes to be accepted as a disciple. He studied under Pope Grothendieck in the mathematics world, and eagerly hopes to carry forward the ideas and works left by the teacher.

Originally, he saw this hope in Xu Chuan, but now it seems that it is a pity that this young man's ambition is not in the field of pure mathematics.

Hearing Professor Deligne's introduction, Xu Chuan shook his head and said, "I am very interested in mathematical physics, but I want more."

"If Princeton does not support double majors, then at least I hope that I can take the same classes as other physics students and choose a physics tutor."

"I can pay the tuition fees for the dual subjects of mathematics and physics, even if I can only get a degree certificate from the Department of Mathematics in the end."

"I just want to study mathematics and physics at the same time. If I choose only one subject, I feel that I may regret it later."

Hearing this, Professor Deligne raised his eyebrows, thought for a while and said: "If this is the case, maybe it can be operated."

"While Princeton is very rule-based, there are some rules that can be broken for a genius like you."

"So, can you tell me about your mentor choice now?"

One student with two tutors may be rare in China, and some of them conform to the default academic rules, but it is not a problem abroad, especially in Princeton.

It's just one student and two tutors, the students will definitely be more tired.

Especially at the stage of postgraduate and doctoral students, supervisors will also have their own scientific research experiments and tasks, and need the help of students.

But Xu Chuan didn't care about this, and if he was an academic, he was still worried about being tired, so he shouldn't take this path, just become a civil servant.

"In terms of mathematics, I am very interested in number theory and differential equations recently, and I plan to study these two aspects in depth."

After a pause, Xu Chuan looked at Professor Deligne in front of him, and continued: "In these two aspects, you are undoubtedly a top mathematician, so I hope to apply for your Ph.D. .”

Before coming to Princeton, he had considered his options.

He has majored in mathematics in this life, and if he can't double major in Princeton, then he can only take the path of mathematics and physics.

However, he still fought for himself, and barely won the qualification to study mathematics and physics at the same time.

As for the mentor, the old man in front of him is a pretty good choice.

Professor Deligne is a student of Pope Grothendieck and the leader of the Grothendieck school, who has made great contributions in the fields of number theory, algebraic geometry, and differential equations.

He has won the three top mathematics awards of the Fields Award, the Wolf Award and the Craford Award, and is the only person in the world who has two mathematics Grand Slams.

In addition to his great achievements in number theory and algebraic geometry under the tutelage of his teacher, Professor Deligne also cooperated with others to construct the representation of algebraic groups using flat cohomology, established the theory of mixed Hodge structure, unified Hodge theory and L-advance Galois said that he developed the theory of Shimura clusters and cooperated with Mostov to study the theory of simplex groups of differential equations.

In the fields of group structure and differential equations, it can be said that it perfectly meets his goals. With the knowledge of this old professor, he will definitely learn a lot.

Hearing Xu Chuan's choice, Professor Deligne nodded and said, "Of course you are welcome. I have some understanding of number theory and differential equations, and I should be able to answer some of your doubts."

After a pause, Professor Deligne then asked: "It's just that these two fields are relatively broad, and there is quite a lot to learn and research. Do you have specific learning and research goals?"

"If you don't have a research goal for the time being, you can also choose to join my research group. I am currently studying the 'standard conjecture' left by my mentor Grothendieck, if you want."

Xu Chuan pondered for a while, and said, "The standard conjecture is a bit too difficult for me, and I am more inclined to my own goal."

"Before I came to Princeton, I talked with Professor Arthur Avila about some of the methods I used to prove the Weyl-Berry conjecture last time, such as the expansion of the Dirichlet function domain and domain and how to convert the function These subgroups seem to be worthy of further in-depth research."

"As for the direction of research, with regard to the automorphic form and automorphic L-function in the Langlands program, we may try to make some breakthroughs in this area."

Being rejected by Xu Chuan, Professor Deligne was not dissatisfied or unhappy. On the contrary, he appreciated Xu Chuan's ability to stick to his own ideas and the goal of independent research by the owner.

For someone like him who has reached the pinnacle of the mathematics world, he hopes that the mathematics world can flourish and develop.

After pondering for a while, Professor Deligne said: "The Langlands program is a huge proposition. Automorphic forms and automorphic L-functions have greatly promoted the development of analytic function theory. I don't have much research on this aspect, but I have some basic ideas, and when you get used to the life here, maybe you can come and communicate with me."

Xu Chuan: "The next few years will be left to you."

Deligne smiled and said: "You're welcome, since the mathematics has been determined, what about the physics? Do you have a favorite candidate? I can be a lobbyist for you."

Xu Chuan: "Then I will trouble you, teacher. In terms of physics, I want to study under Professor Edward Witten. He is very suitable for me."

As a tutor in physics, he would choose Professor Edward Witten, his tutor in his previous life, without any accident.

Professor Weiteng's knowledge is too extensive. Even if he had studied there in his previous life, he didn't empty out Professor Weiteng. There is still a lot to learn in this life.

Moreover, Professor Witten is the top leader of the European Atomic Energy Experimental Agency, and he can stay there permanently, not to mention getting first-hand collision data. When applying for collision experiments, he can also get more Opportunity.

Hearing Xu Chuan's choice, Professor Deligne frowned and said, "If it's someone else, or if you choose to study mathematical physics, I think Professor Weiteng will accept you as a student without hesitation."

"But I'm afraid it's a bit difficult now. Professor Witten is even more stubborn than me. I'm not sure enough to convince him."

"Although there are double tutors in Princeton, they are usually in the same subject, such as dual math tutors in the Department of Mathematics."

"Dual tutors with two completely different subjects like you have never appeared before."

Xu Chuan smiled and said, "I know this very well, so I made some preparations before I came."

While speaking, he took out a stack of manuscript paper and materials from the backpack behind him, and handed it over.

"This is some of my ideas in physics and calculation manuscripts. Although they are not as good as my achievements in mathematics, they may impress Professor Weiteng."

Hearing this, Deligne raised his eyebrows, and curiously took the manuscript paper from Xu Chuan.

The Mystery of the Proton Radius, A Mathematical Method for Accurately Calculating the Proton Radius. "

"A method for calculating the typical distance l between particles of Bose-Einstein condensation as a function of the particle number density n. "

Professor Deligne flipped through the manuscript paper in his hand, and the title he entered surprised him a little.

At first, he thought it was Xu Chuan's achievements in astrophysics, that is, the application of the Xu-Weyl_Berry theorem, but he wanted to say that those things were of no use to Professor Weiteng.

Unexpectedly, it turned out to be a document in other fields.

Flipping through the documents in his hand, looking at the calculation formulas and data on these documents, Professor Deligne carefully read them.

Although he doesn't understand physics, there is no big problem in understanding the mathematical calculation formulas and data calculations in these manuscripts.

In this way, after maintaining the standing posture for more than ten minutes, Professor Deligne finally came back to his senses.

He breathed a sigh of relief, and said, "Pretty good calculation, but unfortunately I don't understand physics very well, so I can't be sure whether these things are correct."

"Let's go, Professor Wei Teng is at the institute today, I'll take you there, maybe these materials can impress him."

"It's difficult to meet him usually. Although he is a professor at the Institute for Advanced Study in Princeton, he is usually stationed at the LHC."