It was still early, so Junxin found a random place to sit down and wait for Professor Thurston to arrive.

"Jun, why did you come out? I even prepared breakfast for you, who knew that you actually came out, and I wasted all my efforts. ”

Junxin didn't need to look back to know that it must be this guy Ars, shook his head and said helplessly: "Dear Ars, can't I just come out for a walk?" Locking yourself in the house all the time will make you feel bad! Besides, my work has been done, shouldn't I come out and live a normal life, what's all the fuss? ”

Als didn't care about the joke in Junxin's words at all, in fact, when Junxin said that he had completed the proof work, Ars asked with surprise: "Jun, is it the problem of the four-dimensional Pang Jialai conjecture?" ”

"Well, it's embarrassing to say, this work should have been done a month ago, but it was too busy at that time to calm down and solve this problem. Thank you for taking care of me these days, and causing you a lot of trouble. ”

"No, Jun, did you bring the paper? Can you let me take a look at it first? Als said eagerly.

"Well, wait a minute!" Junxin nodded, then took the folder out of his bag and handed it to Ars.

In fact, someone noticed it very early after Junxin came to the classroom, but they saw that Junxin was looking at the book, so they didn't bother to bother, the United States is still doing a better job, they think that private time should be protected, otherwise Junxin's research is surrounded by this group of mathematics students. However, now that Ars took the lead, they immediately put down the books in their hands one by one and gathered around Junxin.

"Show me the papers, too!"

"Read the masterpiece!"

"Let me see what this damn four-dimensional proof of the Pang-Lai conjecture is!"

"Jun, you're so handsome!"

………

Okay, let's not go on with it. Junxin handed the folder to Als and said: "The paper is divided into three parts, the first one mainly introduces some of Mr. Donaldson's research results on topology and the main proof tools of the Pang Jialai conjecture I used and its related proofs; The second paper mainly expounds the process of the four-dimensional proof of the Pangjialai conjecture and some conjectures of the three-dimensional Pangjialai conjecture: the third paper is about the addition of some details of the four-dimensional Pangjialai conjecture, and the three papers together are a total of 123 pages. ”

"I don't think I need to wait a while, am I not here?" As soon as Junxin's words fell, Professor Thurston's voice came.

"Professor, long time no see, the four-dimensional Pang Jialai conjecture has been successfully completed, the paper is here, you have time to give an evaluation!" Junxin is not surprised, Professor Thurston has a habit of entering the classroom in advance to prepare for lectures, and everyone knows that Princeton is known, so it is purely normal to see Professor Thurston before class time.

"Hehe, there should be no problem with your train of thought, and after listening to your train of thought at the meeting that night, I felt that the solution you had established was completely fine, although I didn't calculate it. Okay, children, if the paper passes the review, it will be published in the "Annals of Mathematics" next month, and you can go to the journal to see your proof, and now hand over the paper to me! Professor Thurston said mildly.

In fact, all the students here know that once Junxin's paper is approved, then it can be seen in the next issue of the Annals of Mathematics, of course, it is only this paper, because this is Professor Mirno's personal order, and the editorial office of the Annals of Mathematics is also collectively agreed. But for them, no one can calm down when they see that this problem, which is enough to make them look up for a lifetime, has been solved.

"Jun, I'm going to read your paper, and I can't wait. Otherwise, this class will be handed over to you, and you can use this time to tell us about your proof ideas, how about it? Professor Thurston said with a mischievous wink after taking the paper from Als.

"This, doesn't seem appropriate?" Junxin said hesitantly. In fact, he also needed a chance to sort out his thinking from scratch. In the vast majority of cases, everyone who solves a mathematical problem or creates a new mathematical paradigm will hold an exchange meeting, during which in addition to disseminating their academic ideas, introducing their achievements, and communicating with other scholars, there is also an idea to organize their thinking.

Before making an important achievement, people will always go through a lot of thinking, and a lot of thoughts and ideas will come up that even they think are incredible. You will always need a time to sort out your thinking, so that not only can you make your thinking clearer, but also let some of your past thoughts resurface, so that you may have new discoveries.

"Hehe, there's nothing out of place. I think your classmates will be very interested in the thinking you use in your proofs, and of course that includes me. Professor Thurston naturally sees this kind of thing very clearly, "Just sort out your thinking and tell us your thoughts by the way, which is also a kind of harvest for us!" ”

"Well, I'm afraid it will interfere with your normal teaching!" Junxin did not shirk and calmly agreed.

Professor Thurston smiled and didn't speak, he motioned for Junxin to get up, then sat down in Junxin's place, picked up Junxin's paper and began to read it carefully.

Professor Thurston is best known for his special ability to keenly find the inner connections between disordered and chaotic data or structures, so as to build an abstract and intuitive model. However, Professor Thurston generally does not give proofs, or he is not very good at proving these things. However, when people prove it afterwards, it is often found that Professor Thurston's sharp intuition is often correct, and he seems to have been born with this ability.

Junxin's papers have always been praised for details, he not only contains Junxin's exquisite proof process and thinking ideas, but also through precise derivation and careful up and down connection, people can often understand the inner ideas and ways of thinking of Junxin's papers after reading them, and this is where Professor Thurston complements it, so Junxin's papers have always been praised by Professor Thurston, and these three papers are no exception, and soon Professor Thurston fell into Junxin's exquisite papers.