The top student must be diligent

However, this year's graduate student recruitment work has also ended. It is estimated that there will also be an exchange event between the graduate student graduate students and their supervisors. By then, he will probably continue to recruit several new graduate students.

He will probably recruit new graduate students at this time every year from now on, unless there is another major project like the Sun-Making Project.

Finally, he sat down at his desk and skillfully took out the scratch paper. Then, he summarized the method he had just come up with in class.

At the same time, because he is not in class now, he has more time to think about the overall process of this method and continue to further improve it.

Soon, he perfected it.

"It should be fine now."

As for what to name this new method?

Xiao Yi thought for a while and finally decided to simply name it elliptical recurve analysis.

Because after extending its domain and redrawing the ellipse, it can no longer be called an ellipse, but is similar to a combination of an ellipse and an inverse curve.

Mainly because its domain exceeds the major axis of the ellipse itself.

"Then, now you can combine the modular form with this new elliptical form..."

Xiao Yi continued to deduce.

And sure enough, just as he had expected, once the two were combined, a broader mathematical vision was revealed - at least in Xiao Yi's mathematical vision.

This means that he will be able to process this information in more ways.

After just thinking for a moment, Xiao Yi immediately thought of something, and this thing was something he had just used some time ago.

That's the Geometric Langlands Program!

Borrowing the already proven geometric Langlands conjecture, maybe he can combine these methods to create a more powerful tool?

Xiao Yi's heart suddenly stirred up waves that had not been seen for a long time.

Because, his intuition told him that this would have the opportunity to lead him to the road to truly proving the Riemann Hypothesis!

…

Chapter 275 Amazing Method

In the following time, Xiao Yi started directly from the module form, and combined with the content of the geometric Langlands program, officially started the research on the Riemann Hypothesis.

Um……

Of course, strictly speaking, what he is actually doing more research is to further expand the elliptical recurvature analysis he has now developed.

Let's see how far this new method can be extended by using modular forms and combining it with the geometric Langlands program.

As for actually starting the research on the Riemann Hypothesis, there is no need to worry at all. As the saying goes, sharpening the knife will not hinder the chopping of firewood. Only by sharpening this knife called theory can you chop wood better. The next name is Riemann Hypothesis.

However, this is destined to be a long-term matter.

Since it involves the Riemann Hypothesis, it is naturally not something that can be solved easily.

…

The day passed quickly.

Xiao Yi's research gradually entered the state.

On the other hand, the video of his class yesterday has also been posted online.

Every class he teaches is recorded and uploaded to major video websites.

Now he mainly teaches two classes, the number theory class for freshmen in the last semester, and the real variable function for sophomores in the second semester.

His class recordings receive a lot of praise every semester.

Many self-study students will come to watch these two classes of his, and quite a few students taking postgraduate entrance examinations have regarded his videos as the best tutorials for self-study of number theory and real variable functions. Even graduate students will come to study them, regardless of It is very helpful to consolidate basic knowledge or learn his thinking from him. In addition to students, there are also many teachers who come to learn his teaching methods and then use them in their own classes. I will also imitate his rhythm, or even copy it completely.

Basically, after a few years, the average views of his recorded videos have reached more than 500,000.

As a professional mathematician, this kind of broadcast volume is not too high. Of course, considering that China has never had such a top mathematician before, and he still won the Fields Medal in Mathematics, it is very important to have such a high number of views. The playback volume is considered normal.

Moreover, as new students enroll every year, or start to study related courses, and new students begin to enter the review stage for postgraduate entrance examinations, it can be predicted that the number of views will most likely gradually increase, and by then it will break through. A million is not impossible.

In addition, because the quality of his recordings and broadcasts are very good, quite a few people have left messages expressing the hope that he can take more classes. It is best to give every class in the mathematics major and record them all. .

In this way, they no longer have to search for various online courses on the Internet, and then they still don’t know whether the quality of this online course is good or not.

Regarding such a request, Xiao Yi could only say that if there is a chance, he will do it next time.

Having said that, as soon as his video yesterday was released, it immediately attracted a lot of students and teachers from the Department of Mathematics. Especially yesterday's video involved the distribution of prime numbers, an important issue in the field of number theory, so the number of views was It also improved very quickly. On the second day, the number of views reached nearly 100,000.

But on the next day, the number of views suddenly started again, directly increasing by 50,000.

The main reason lies in the elliptical recurvature analysis demonstrated by Xiao Yi during the lecture.

Undoubtedly, this brand-new method immediately attracted the attention of quite a few people who watched the video.

And first of all, it was discovered from those graduate students.

…

Princeton University.

"Chen, can you tell me another story about Professor Xiao?"

Sitting in the laboratory, Chen Muhua was sitting in the water, and then he heard a voice coming from next to him.

When he turned around, he saw that he was a fellow student with the same tutor as him and a doctoral student named Sanjay Khan. He was an Indian.

And he was a high-caste person, a Kshatriya.

When Chen Muhua first came here, he was asked by many people here because his last mentor was Xiao Yi. Of course, they all wanted to know from him what kind of person Xiao Yi was.

Of course, he was naturally quite willing to speak. In the first month, he no longer had to speak every day, but almost every hour, so that the students around him occasionally did not hear him speak. Every time, they would laugh and tease him: "You haven't talked about your mentor Xiao Yi for a minute."

It wasn't until a month later that he realized that the classmates around him might have been used to hearing it, and he couldn't always mention it, otherwise he would bring trouble to his instructor.

So he didn't talk anymore.

As a result, after a period of time passed, the students around him realized that he stopped talking and were a little uncomfortable with it. Moreover, they who studied mathematics would never stop paying attention to Xiao Yi, a genius who was known as the smartest genius in history. I was interested, so I started asking about it from time to time.

This Sanjay Khan is one of them, and he is also the most enthusiastic among them.

Chen Muhua rolled his eyes: "It's really you."

Then he said: "Wait a minute, I'm going to watch a video now."

"Huh? What video is it?" Sanjay asked curiously.

"You may be interested." Chen Muhua opened a link sent in the group and said, "It is related to Professor Xiao."

Sanjay's eyes lit up: "Then I am indeed very interested."

Then he dragged a chair from the side and sat next to Chen Muhua, preparing to watch it with him.

Soon, the video opened, and Xiao Yi's figure appeared in it.

As for the scene, it is obviously in a classroom.

This is Xiao Yi's class recording, and the video inside is also the class yesterday.

Chen Muhua was very curious because Liang Qiushi sent this video to him and gave him a time point in the video. He said that after this time point, what their Professor Xiao said was very important.

So he decided to take a look.

Soon, I jumped directly to this video node.

This time point is exactly the point where Xiao Yi began to demonstrate the elliptical recurvature analysis method.

Chen Muhua himself studies algebraic geometry and the Langlands Program, so he is not unfamiliar with these contents. After seeing the method shown by Xiao Yi, his eyes widened immediately.

Is there such a method?

Can analytic continuation be demonstrated in this way?

Elliptic curve…

Elliptic curve…

As someone who has dabbled in Langlands geometry, he certainly knows how much help it can bring if elliptic curve methods can be used to explain analytic continuation.

Then he continued to look down, and his eyes brightened even more after he actually saw how this method was used.

Although his own ability can only be said to be relatively outstanding among doctoral students in mathematics, it can also be seen how powerful this method is.

In particular, the information reflected in this process is particularly important.

He can see that using this new analytic extension, the information after the extension of the original analytic function can be displayed in a more detailed and comprehensive way, which will be very beneficial to the research process. Process and use this information.

Thinking of this, he felt extremely amazed in his eyes.

Professor Xiao will always be the same Professor Xiao.

At this moment, Sanjay next to him was a little anxious: "Chen, what on earth did Professor Xiao say? I can't understand Chinese! But it seems to be something about elliptic curves, right?"

Chen Muhua smiled and said: "Yes, it is indeed related to elliptic curves, and it is also very important. I remember that you study number theory, right?"

"Yes." Sanjay nodded. For those of them who work under the same mentor, their research fields are basically not too different.

"Then let me explain to you what Professor Xiao is talking about. You will be surprised after listening to it!"

Then, he began to tell Sanjay about the method Xiao Yi mentioned in the video