Chapter 47: The Youngest Teacher

After the two sent Junxin to Professor Wang's office, they left separately. They also have their own projects to complete, so they won't be waiting with Junxin all the time.

Junxin is not dissatisfied, the bumps along the way, he is actually a little tired, but the most important thing is that the book "Fundamentals of Algebraic Geometry" has not even finished the first volume, since no one disturbs, and the environment is so quiet, Junxin naturally does not mind doing his unfinished business first.

I don't know how long it took, when Junxin was constructing an equation for a geometric surface in his mind, a sound of footsteps came. Junxin put down the book in his hand, and then looked at the door. Sure enough, it was Professor Wang, who was covered in dust, who came in.

"Jun, have you arrived? I'm sorry, I'm busy with the project, and I won't be able to leave for a while. Xiao Qi and Xiao Chen brought you here, right? ”

Professor Wang's Xiao Qi and Xiao Chen were the senior sisters and brothers who brought him to this office, and Junxin hurriedly answered. After the two exchanged pleasantries, they entered the topic.

Professor Wang said: "Originally, my consideration of your teaching situation was temporary, but in fact, I just wanted you to come over for an exchange. What do you think about the content of the teaching? ”

Jun Xin naturally understood the meaning of Professor Wang's words, and after a deep sigh, he said: "My achievements are mainly achieved through the study of number theory and analytic number theory. However, you are an expert in analytic number theory, so I will not go to the class to get an axe. But it's okay to go in the other direction. In fact, a lot of my research is based on Mr. Grotendieck's algebraic geometry, especially the Modelle conjecture, which is a lot of geometric algebra content, so I think there should be no problem with algebraic geometry. ”

After listening to Junxin's words, Professor Wang lowered his head and tapped his fingers back and forth on the desk, thinking about Junxin's thoughts.

Junxin's idea is very practical, and the Modell conjecture he solved the proof actually contains the Shavaralvich conjecture and the Tett conjecture, and contains a lot of algebraic geometry in between. It can be seen from this that Junxin is familiar with algebraic geometry.

"Are you ready?" Professor Wang had already agreed with Junxin's opinion in his heart, but he still asked.

Junxin nodded and said, "I am indeed prepared, I specially borrowed a set of the textbook EGA prepared by Mr. Grotendick at IHES, although it is not the original French version, but the content will not be too bad." But..."Speaking of this, Jun Xin hesitated slightly.

"But what?"

"It might be a bit arrogant to say it..."Jun Xin said a little embarrassed.

Professor Wang smiled and said encouragingly: "It's okay, say it and listen to whether it is arrogant or not, and then comment after you say it." ”

"Okay!" Junxin nodded and said, "When Mr. Grotendick was at IHES, he said that we don't need textbooks, because we write textbooks ourselves!" I think that makes a lot of sense. ”

Wang Yuan was a little stunned for a moment, the meaning of Junxin's words was obvious, saying that he wanted to be like Grotendick and write his own teaching materials for his own use. What kind of person is Grotendieck, as long as you are a student of mathematics, you know, what Junxin wants to do is to stand in the position of Grotendick back then, and establish a new mathematical system by himself, especially when there is a jewel of Grotendieck.

"Are you convinced?" Professor Wang has no objection to compiling his own textbooks, because many people have done so. But this is obviously not what Jun Xin meant, he wants to write a textbook comparable to Grotendieck's EGA, if anyone else says this, Professor Wang will definitely scoff at it, but if a person who solves the world's mathematical problem of Modelle's conjecture says so, no matter what his original intentions are, Professor Wang must think about it seriously.

"I think you misunderstood me, Professor!" Junxin nodded, shook his head again, and said, "I don't intend to be comparable to Mr. Grotendieck, I just want to use my teaching experience at USTC to build my own mathematical system." As for the textbooks that go beyond EGA, I don't think I'm that arrogant yet. As any mathematician in the world, he would not dare to say that his study of algebraic geometry was beyond that of Mr. Grotendieck. ”

"Since you already have your own plan in mind, then do what you think!" After a change of heart, Professor Wang made up his mind.

After finishing business, the two of them began to talk about mathematics. Professor Wang's level of mathematics is undoubted, and his profound mathematical skills often flash his unique understanding of some problems in mathematics, and he can often point out the core points of a problem in one or two sentences.

Professor Wang can also clearly feel the difference in Junxin's thinking, Junxin can often quickly build a mathematical model of the problem in his mind according to the scene of a certain described problem, and can quickly give the proof of this model. Of course, sometimes because of the complexity of the problem, it cannot be proved quickly, but it can be proved afterwards that the results are consistent with the model given by Junxin.

The discussion lasted for more than three hours, and it was not until it was time for dinner that the two reluctantly stopped the discussion. At the invitation of Professor Wang, Junxin and Professor Wang had dinner together, and Professor Wang called his assistant and took Junxin to the room that had been prepared for him, and he didn't say anything all night.

The next two days were specially set aside by Professor Wang to give Junxin a rest. After all, after a long journey, the body and brain are not in the best state anyway, so it is also very necessary to take a buffer.

For two days, Junxin did not rest, although Professor Wang let him rest is also a good intention, but Junxin still spent two days to read the entire content of Grotendieck's EGA, and according to the knowledge and content he mastered, sorted out an outline of the nature of the explanation.

As soon as the two days passed, Junxin was led by Professor Wang's assistant to the place where Hua Luogeng's cram school was held during the holidays.

The number of people in Hua Luogeng's cram school is not very large, there are about thirty people in a class, Junxin just glanced at it outside, and according to the information provided by Professor Wang, he clearly analyzed the general composition of this group of people.

Jun Xin took a deep breath and soothed the deep tension in his heart. After all, more than half of the people in this class are older than him, and he doesn't have a bottom in his heart about such a course.

After the nervous mood calmed down, Jun Xin walked onto the podium, glanced left and right at the surprised students below, and said calmly: "Go to class!" ”

In this way, the youngest teacher of Hua Luogeng's cram school made his debut on this day...