Chapter 56: Thurston's Essay Writing (Addition)
"Oh, what's the method?", Professor Nan was also interested, shaking his glass slightly, and turning his head to look at Thurston, he would be very happy if he could save a little time for this great work to be sent out sooner.
"Let's say our paper needs seven steps for everyone to understand!" Thurston pinched seven peanuts and posed them on an empty plate in a geometric shape, then set aside another peanut, and then changed the arrangement of the peanuts, and the remaining six peanuts still formed a similar geometric shape.
"See, skipping a step isn't a fatal thing!", Thurston smiled, removing one more peanut and posing the remaining five in their original geometric shape.
"We can go on and down the steps!", the peanuts went from five to four, four to three, and if the geometric pattern of the original seven shapes was a realistic painting, then Thurston is now posing as an abstract painting!
"Okay, it can't be less!", seeing that Thurston seemed to have to reduce the number of peanuts, Professor Nan hurriedly stopped, "If you are less, you should not be able to see the shape!"
Hey, he is worthy of being a man who can see the Noble Eightfold Path! Lu Qiujian secretly praised in his heart, and Thurston pointed out that after the first few steps of the compact three-dimensional manifold, every small piece left can be given a geometric structure, and there are a total of eight geometric structures. But his proof is quite difficult, and relies strongly on geometric intuition, which is simply incomprehensible to the average person. But even so, after his lecture at Princeton, more than 1,000 people asked him directly for his lecture notes, and even more indirectly copied them, which shows the enormous impact of his work.
Hearing Professor Nan's dissenting opinion, Thurston shrugged indifferently, "The discussion between me and Lu just now only slightly touched on a few key points in the proof process, but it did not affect me and him to make the final inference. ”
I hate talking to you geniuses the most, and I can do it to this extent if you have the ability to talk to me about applied mathematics problems! Professor Nan secretly scolded himself, "William, you also have to take care of the opinions of other people in the mathematical community, they don't have such a keen intuition as you!"
"A chess master can see the changes after seven moves in one step, and those at the forefront of mathematics can deduce all the processes from a short proof!", Thurston still insisted on his opinion, "As for those who can't see it, I don't think they need to be obsessed with the study of the Poincaré conjecture!"
This is Hongguoguo's discrimination and hatred! Is it completely relying on IQ to bully people! However, there is some truth in what Thurston said, and after writing it according to his method, those who can understand it will naturally understand it, and those who can't understand it don't need to waste too much time on this kind of issue.
"People who are slightly inferior in chess skills may only be able to see 2 moves, and the remaining 5 moves are loopholes, and only by writing down the way of each move can it be regarded as a complete proof. Professor Nan shook his head and said that he was more strict about this paper, which is destined to increase the influence of Chinese mathematicians in the world of mathematics. "Well, have you ever wondered how long it takes to complete a full paper, how long will it be when it is written?", Thurston decided to convince him from another angle, "How do you make sure that no one in the meantime will make a part of it and submit it to a journal for publication?"
Now Professor Nan is completely dumbfounded, yes, although geniuses in this world are rare, they are not nothing, it seems that Grisha who he just said is conducting research in this area, and has also made a lot of breakthroughs, what if he also made results when Lu Qiujian was immersed in writing his thesis?
Competition in academia is the same as in sports, where people usually remember who is number one, but who cares about the second person who makes the result?
"Wiles's proof of Fermat's theorem is more than two hundred pages!", Thurston saw that he did not speak, and continued to add weight to the scales, "If you follow your plan, Lu's paper will not be less than this number of pages, but according to my plan, I am afraid that only a third or even a quarter of the pages can be completed! This will save a lot of time, and as for those omitted steps, you will have to leave some work for other mathematicians to do!"
This means that I will formulate the grand strategy, and leave the tedious and boring tactical work to those mortal mathematicians; Professor Nan weighed the gains and losses, nodded and agreed to Thurston's suggestion, turned to Lu Qiujian and said, "Okay, just do what Professor Thurston said, but after the paper is published, if you have time, you had better complete the follow-up loophole filling work yourself!"
"Yes!", Lu Qiujian also didn't have much interest in manual work, since the first problem was solved, then it was the turn of the second question, "Which journal did I publish the paper in? or the Annals of Mathematics?"
"Are you planning to return to China in the future?", Professor Nan did not answer directly, but asked him a question that was not related to this matter.
"Of course!", Lu Qiujian seemed to understand what he meant.
Sure enough, after hearing Lu Qiujian's answer, Professor Nan gave a different opinion, "If you plan to stay in the United States, it doesn't matter if you continue to publish in the Annals of Mathematics, if you plan to go back, it is best to choose to publish in Science or Nature, you must know that the evaluation of these journals in China is completely different!"
"Yes, this is an epoch-making mathematical paper, and it should be published in a journal with greater impact!" The four major journals of mathematics are only the top journals in the field of mathematics, while "Science" and "Nature" are journals that all top scientists will subscribe to, and the influence of the two is not at the same level at all.
Thurston agreed with Professor Nan's suggestion, and then put forward his own opinion, "You can submit your paper directly to Science! I am their reviewer, maybe your article will be submitted to me for review!"
"Come on, the editor won't give it to you for review when he sees that the paper is from Princeton!", Professor Nan laughed, but did not object to Thurston's proposal.
Hearing Princeton, Lu Qiujian asked with a flash of inspiration in his mind, "Professor Nan, you see that it is a holiday now, so can the results I made during the holiday be replaced by Beijing Normal University instead of Princeton's name?"
The addition of 3000 is coming!