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Chapter 145: Dual Mentors Deligne and Witten

Hearing this, Professor Deliney was slightly stunned for a moment, and then asked in surprise: "Do you want to practice dual cultivation?"

Xu Chuan nodded and said, "When I was studying in China, I studied mathematics and physics, and I obtained a double degree certificate from Nanjing University. I am also very interested in physics and hope to be able to get access to this knowledge during my study in Princeton."

Professor Delinie thought about it and continued: "Princeton does not support double degrees. Here, you can only choose one subject as the major."

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

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

"He specializes in quantum field theory, string theory and related topology and geometry, positive energy theorem proof of general relativity, supersymmetry and Morse theory, topological quantum field theory, superstring tightening, mirror symmetry, supersymmetric gauge field theory, and conjectures about the existence of m theory are all his physical contributions."

"Although he is a physicist majoring in physics, few mathematicians can compare to his mastery of mathematics. His research in pure mathematics has a profound influence and has won the Fields Medal."

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

But he was a little regretful, after all, he originally planned to accept Xu Chuan as a student himself.

In his opinion, this young man's talent in mathematics is unprecedentedly rare, and it is difficult to find another new mathematical star who can compare with him in this world.

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

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

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

Although it is impossible to be sure what kind of peak he can reach in the academic world in the future, from now on, there are only a few people who can compare with history throughout history.

Professor Deliney naturally hoped to be a disciple of such a genius. He studied under Pope Grothendieck in the mathematics community, and urgently hoped 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 is not in the field of pure mathematics.

......

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

"If Princeton does not support dual majoring, at least I hope I can take the same class with other physics students and choose a physics tutor."

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

"I just want to learn something in mathematics and physics at the same time. If I choose one subject alone, I feel that I may regret it in the future."

Hearing this, Professor Delinie raised his eyebrows, thought for a while and said, "If this is the case, maybe he can do it."

"Although Princeton pays great attention to rules, for a genius like you, some rules can be broken."

"So, can you tell me now that your tutor has chosen?"

Two tutors for a student may be a bit rare in China and some comply with the default academic rules, but there is nothing abroad, especially in Princeton.

Just one student has two tutors, and the students will definitely be more tired.

Especially during the graduate and doctoral stages, the supervisor will also have his own scientific research experiments and tasks and need the help of students.

However, Xu Chuan didn't care about this. Those who are engaged in academics are still worried about being tired. Don't take this path. Just be 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 Delinie in front of him and continued: "In these two aspects, you are undoubtedly a top mathematician, so I hope to apply for your doctorate degree. I wonder if you are welcome to the professor."

He had already considered his choice before coming to Princeton.

He majored in mathematics this life. If he couldn't double-educate in Princeton, he would have to take the path of mathematics and physics.

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

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

Professor Delinie is a student of Pope Grothendieck and a leader of the Grothendieck school. He has made great contributions in mathematics fields such as number theory, algebraic geometry, and differential equations.

He won the three top mathematics awards in the Fields Medal, Wolf Medal and Crafford Medal. He is the only two or two math grand slams in the world.

In addition to his great achievements in number theory and algebraic geometry, Professor Delinje also collaborated with people to construct the representation of algebraic groups on flatness, established the theory of mixed Hodge structure, unified Hodge theory and L Jingarova's representation, developed the Shimura cluster theory, and collaborated with Mostov to study the single-performance group theory of differential equations.

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

Hearing Xu Chuan's choice, Professor Delinie nodded and said, "Of course we welcome. I have some understanding of number theory and differential equations, and should be able to answer some questions for you."

After a pause, Professor Delinie continued to ask: "But both fields are relatively extensive, and there are quite a lot of content that can be learned and studied. Do you have specific learning and research goals?"

"If there is no 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 supervisor Grothendiek, if you want."

Xu Chuan pondered for a moment and said, "The standard guess is a bit too difficult for me, and I prefer my own goals."

This chapter is not over, please click on the next page to continue reading! "Before coming to Princeton, I talked with Professor Artur Avila. Some methods used in the weyl-berry conjecture I proved last time, such as the expansion of the Dirichlet function domain and domain and how to convert functions into subgroups, seem to be able to do further in-depth research."

"As for the research direction, we may be able to try some breakthroughs in this regard based on the self-conservation form and self-conservation l function in the Longlands Program."

Professor Delinie was rejected by Xu Chuan, and there was no dissatisfaction or displeasure. On the contrary, he was quite impressed by Xu Chuan's ability to stick to his own ideas and the owner's goal of independent research.

For those like him who have reached the peak of the mathematics community, he hopes that the mathematics community can develop vigorously.

After pondering for a while, Professor Delinie said: "The Longlands Program is a huge proposition. Self-conservation form and self-conservation l function greatly promote the development of analytical function theory. I have not studied much in this regard, but I have some basic ideas. When you adapt to life here, you may come and communicate with me."

Xu Chuan: "I'll ask you for the next few years."

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

Xu Chuan: "Then I'll trouble you, teacher. In terms of physics, I want to learn from Professor Edward Weiteng, who is very suitable for me."

As a physics tutor, he would not have any surprises in choosing Professor Edward Witten, the tutor he had in his previous life.

Professor Weiteng's knowledge is too extensive. Even though he studied there in his previous life, he did not emptiate Professor Weiteng. There are still many places to learn in this life.

Moreover, Professor Weiteng is a top master in the European atomic energy experiment organization. He can stay there and obtain first-hand collision data, not only can he get greater opportunities when applying for collision experiments.

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

"But it may be a bit difficult now. Professor Weiteng is even more stubborn than me. I am not sure enough to convince him."

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

"Double tutors like you who have two completely different subjects have never appeared."

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 materials from his backpack behind him and handed them over.

"This is some of my thoughts in physics and calculation manuscripts, and although they are not as good as I did in mathematics, they might impress Professor Weiteng."

Upon hearing this, Delinie raised his eyebrows and took the manuscript paper from Xu Chuan curiously.

"The Mystery of Proton Radius, a Mathematical Method for Accurate Calculation of Proton Radius."

"A Method for Calculating the Functional Relationship between Typical Distance l and Particle Number Density n between Particles in Bose-Einstein's Condensation Activity."

Professor Deliney flipped through the manuscript paper in his hand, and the title of the target 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, and he was about to say that those things were of no use to Professor Weiteng.

I didn't expect it was a document from other fields.

After looking through the document in his hand, Professor Deliney carefully read it.

Although he does not understand physics, there is no big problem in understanding the mathematical formulas and data calculations in these manuscripts.

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

He sighed with a long sigh and said, "It's a pretty good calculation, but unfortunately I don't understand physics very much and can't determine whether these things are correct."

"Let's go, Professor Weiteng happens to be at the research institute today. I'll take you there. Maybe these materials will impress him."

"It's hard to see him normally. Although he is a professor at Princeton Institute of Advanced Studies, he usually lives in LHC."

.........
Chapter completed!
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