God's Crown

The two of them didn't speak, and went about their own business.An Yan still didn't know much about algebraic varieties, while looking at the scratch paper while calculating, he frowned and thought.He thinks something is wrong with what he is doing now, but he hasn't figured out what's wrong.I can only look at the math problem in front of me and frown, not knowing what to do.

On the other hand, Wang Yunqi seems to have almost figured it out. An Yan didn't see what Wang Yunqi was doing, but Wang Yunqi worked very hard.On the contrary, An Yan was a little surprised. He put down the pen in his hand, glanced at Wang Yunqi's draft paper, and raised his eyebrows slightly, "You bastard..." An Yan said with a smile, "It should not only be Number theory is right."

Wang Yunqi was stunned for a moment, originally thought that An Yan was doing his own business, but unexpectedly, An Yan was still watching him do calculations.After being stunned for a moment, he raised his head to look at An Yan and said, "Then...Professor An, what do you think I should do?"

"Hmm..." An Yan pondered for a while, "Actually, I think it would be very difficult or even impossible to solve this problem if we only use number theory. Think about the Wagstaff prime number. You need to use the sieve method, but you don’t necessarily need to use the sieve method for Mersenne prime numbers. You can try to use other proofs. For example, algebra, group theory, etc., and then use the Langlands program to convert Mersenne prime numbers.”

After An Yan finished speaking, she smiled, "But I'm not necessarily right. It's probably because I've been thinking too much about algebraic varieties recently, so when I see math problems, I can't help but think about algebra."

"This..." Wang Yunqi was puzzled at first, then frowned and said, "Is it really useful to use group theory?"

"I don't know either." An Yan shook her head, "I haven't tried it yet, but as far as I know, there are other people working on this subject besides you."

"Eh..." Wang Yunqi was stunned for a moment, "Stanford University?"

"No, it's from the Federal Institute of Technology in Zurich." An Yan said with a smile, "It's my classmate, a high school classmate. I don't know how far they have gone. I didn't know about it. But you can do it if you want , they should do it before you. It’s really hard to say who will be able to produce results first.”

"..." Wang Yunqi thought about Professor An's classmates, they shouldn't be too bad.However, he has already completed half of this project, and it would be a pity if he didn't continue to work on it now.Then let’s keep going. When Wang Yunqi thought of this, he still just smiled and said, “It’s probably too late for me to change the subject now. Professor An, there’s nothing wrong for me to continue working on, right?”

"Oh, it doesn't matter if you continue to work on it. I don't know if they are still working on this subject. I haven't contacted you for a long time." An Yan smiled, patted Wang Yunqi on the shoulder and said, "You continue to work on it." Well, I went shopping for a while, and I will come in later. I have to think about it and sort out my thoughts. Hodge guesses...it's more difficult than I imagined."

Wang Yunqi didn't quite understand that it was more difficult than An Yan imagined, what kind of difficulty it was.However, seeing An Yan's troubled expression, it is estimated that this matter is indeed quite difficult.

Thinking about how difficult it is for Professor An, he... probably only finds it more difficult.

After glancing at An Yan's draft, well, he really didn't understand it.He looked at An Yan's leaving figure again... emmmmm, forget it, he'd better stop thinking so much, and try to do his own thing.

After leaving the library, An Yan walked towards the boulevard of Princeton University.It is now a hot summer, surrounded by the hot sun.An Yan yawned, and walked slowly on the stone road, thinking about how he should solve this problem.

Hodge guessed that it was originally a very difficult point.

Not to mention him, even Wei Teng, the well-known great god, once tried to solve Hodge's conjecture, but finally gave up.This shows how difficult this thing is.

Looking up at the sky, this question really made him a little embarrassed... What should he do to solve this conjecture?Should I try calculation methods other than algebraic varieties, such as Dipanto approximation and the like.But thinking about it, it doesn't seem to work.Shaking her head, An Yan felt that it was not right for her to do so.Forget it, let's think about other methods, it doesn't necessarily need to do things other than algebraic varieties.

However, this question should take him a long time to think about.It is indeed his luck that he was able to solve the BSD conjecture directly, and he solved it all at once without knowing what he was thinking at the time.In retrospect, Gu Weize's call might not have been there, and he might not have been able to solve the BSD conjecture.

Now that he is a professor at Princeton University, he should be more cautious about mathematics and physics.

But now... he really doesn't have any good ideas to use in his own projects.I walked around, and I don't know how long I walked.With his head down, he was about to turn around and enter the library and continue reading.He is not yet a professor at Princeton University, to be precise, he has not yet taken a position at Princeton University.Of course, after June, he is a professor at Princeton University.

Now the students passing by him also nodded slightly to him.

There are still many students who don't know him, and they probably regard him as a student of Princeton University.Just as he was about to enter the library, An Yan saw Lance rushing over with his head sullen.

He raised his eyebrows slightly and said, "Mr. Lance?"

Lance raised his head and gasped, "Professor Ahn?"

"Lance, hello." An Yan said with a smile, "Is it because Professor Deligne is in such a hurry to enter the library?"

"ProfessorAhn, it is true that Professor Deligne has something about geometry and topology." His smile was a bit forced, and he once wanted to compete with the person in front of him.However, he is now a professor of mathematical physics at Princeton University, and is even expected to win the Fields Medal next year.He is still a student at Princeton University, and his graduation is still a long way off.

This magical reality made Lance's smile even more bitter.

This is probably life. When Lance thought of this, he said to An Yan, "I'm not particularly clear about the specific situation, but Professor Ahn is curious about this matter. You might as well go to Professor Deligne's office and ask the professor."

"Okay." An Yan nodded slightly, and said to Lance, "Go first."

"Hey, let me tell you, who is that guy?" The two people standing not far away whispered, "I remember Mr. Lance is a student of Professor Deligne, right? The one next to him... who is it?" Huh? Mr. Lance has our Princeton-style arrogance, and it is impossible for ordinary people to talk like that."

"You do not know?"

"Did something happen? About the one next to Mr. Lance."

"My God, that's our Princeton professor."

"I remember...we don't have such a professor at Princeton University?"

"It's true that he didn't have it before. He will hold an inauguration ceremony in June and serve as a professor of mathematical physics."

"Oh my God, is this true or not? He looks so young. Is this really a professor?"

"Of course, he was a student at Stanford University before. But he has already obtained a Ph.D., and his graduation project is BSD conjecture. I think you should be very clear about this."

"BSD conjecture, he is the AN who published the BSD conjecture on arXiv?"

"That's right, it should be called ProfessorAhn now." The person next to him corrected and said, "Do you think he can be a professor at Princeton University?"

"Of course, if it is him. I believe that his level is enough to be a professor at Princeton University." Princeton University students have pride, or a Princeton-style pride.From this school called Princeton University, here is the holy land of mathematics.

There are many Fields Medal and Nobel Prize winners here, and it has a very good academic atmosphere and so on.

But they are not fools, they are proud because they know that Princeton University is very good.The respect for An Yan is the respect for his academic achievements.

Naturally, with An Yan's current academic research, no one would object to being a professor at Princeton University, and they would even be curious.Or a student who wanted to be An Yan—a professor who was only 21 years old, which almost never came up.

This professor is already very legendary just because of his age.Not to mention other aspects, so when they knew that An Yan was already a professor at Princeton University, they would only be more curious about this young professor.

"Let's go, that professor seems to have entered the library. I heard that the king of the mathematics department is a diehard fan of Professor Ahn."

"The king? I think that king, after a few years, will be similar to Professor Ahn."

"Who knows, Wang is also a very powerful genius. Even in Princeton where geniuses are rampant, he is the most outstanding one. I heard that he rejected Professor Deligne because he thought that Ann would be a professor soon. He always wanted to study with Ann."

"Unexpectedly, he actually waited until Professor Ahn came to Princeton University as a professor."

…………

Back in the library, after An Yan sat down, he greeted Wang Yunqi.

After that, he began to seriously write the draft paper of Hodge's conjecture, and Wang Yunqi also quietly went about his own business.The two did not disturb each other until it was pitch black outside.In the dim light of Princeton University, An Yan packed her things.After tidying up, he said to Wang Yunqi, "I'm going back first, you should go back early to rest too."

"Doing academics is a long-term job, and it cannot be done in a day or two. If you don't have a good body, I am afraid that no matter how good you are academically, it will be useless."

"Okay, thank you, Professor An." Wang Yunqi also packed her things.

"Professor An, do you have any plans after you take office at Princeton University?" Wang Yunqi trotted behind An Yan with a book in hand, asking An Yan.