Chapter 277: Days in Princeton (15)
"Jun, I have to take into account the fact that you're leaving Princeton!" Professor Wiles said very seriously.
Junxin nodded and said, "If you don't say it, I will bring it up too." In fact, the biggest impact of my departure from Princeton was simply a matter of communication. ”
"But in fact, academic issues can only be maximized by face-to-face communication, which is a recognized fact in the academic community, after all, unlike the era of Descartes and Fermat, scholars can communicate and discuss academic issues through letters."
"In fact, the problem of Fermat's theorem cannot be proved in a short time, so you have to be prepared for long-term operations. So everything has to come step by step, so let's do it, what about general questions, we exchange and discuss views by letter, some of the more difficult issues, we will make an appointment to discuss in person, what do you think? Junxin couldn't really think of a better way, but it was a good solution, so Professor Wiles could only nod in agreement.
"How's your preparations, Professor?" Junxin asked curiously.
"Some possible interference from the outside world has basically been completed, and you can enter the proof work at any time." Professor Wiles said with a smile.
"Oh, as far as I know about Fermat's theorem, it will take a long time to enter the stage of starting to prove, just some exploratory things in the early stage, and I have made a simple and rough calculation, which will take about 12 to 18 months. Do we do the tasks during this time, or do we divide them up? Junxin asked. Historically, Professor Wiles, during the initial preparation phase of the proof, did a lot of work, probably taking a full 18 months.
Professor Wiles's suggestion made Professor Wiles fall into thought, and with his understanding of Fermat's theorem and the preparation of the preliminary theoretical knowledge of Junxin's estimation, he agreed. However, Junxin's two suggestions did not come out of thin air, and naturally there were some of his meanings in them.
If they do it separately, they will naturally have to collect and sort out all the relevant theoretical data on Fermat's theorem, as well as the relevant reserve data. The advantage of this is that each of them has a clear understanding of Fermat's theorem at various levels.
If it is cooperation to complete the preparation, then two people can learn from each other's strengths and weaknesses and work in their own targeted manner, which can naturally greatly improve the efficiency of the work. Shorten the lead time.
Both have their own advantages, but they also have their own disadvantages. In the former, two people repeat the same work, which reduces the efficiency of the preparation of the preliminary work to prove Fermat's theorem. Although the latter improves efficiency, it is likely to be stuck somewhere later because of the relative understanding of Fermat's theorem.
After thinking about it for a while, Professor Wiles gave a plan: "You see how this is, the two of us are in regular contact to summarize the work over a period of time, summarize the work during this period, and then communicate with each other. As for the preparations, we still do them separately and do not need to divide the labor. In the proof of Fermat's theorem, I still choose the words of my good friend Rickett, in the study of this problem, you have come to the forefront of the world. ”
"Thank you professor for complimenting me." Jun Xin smiled faintly and said modestly. Nodding in agreement with Professor Wiles' proposal.
In fact, for Junxin, the process of verifying a problem that has been proven was a common thing in previous lives. Often, when a problem arises in the academic world, Junxin participates in the process of verification, and rarely participates in the proof of the real problem. However, Junxin also knows that participation in the process of proving a problem is what a scholar really wants. Because often only by participating in the process of proof, can we not fall behind at all when the problem of proof comes, all the wonderful ideas that have been right or wrong, and the mystery in the middle is difficult for outsiders to understand.
If you want to participate in the proof process of Fermat's theorem, then the huge and complicated work in the early stage is the key to the key. Because the proof of Fermat's theorem actually involves a lot of things, algebraic geometry, geometry, algebra, statistics, logic, number theory, and so on. This is actually more of a systematic project, if you are not familiar with this knowledge, then the process of proof can be stuck anytime and anywhere. So the preparatory process is indeed not sloppy at all.
They sat in Professor Wiles' house for a full day, during which the two of them made a very detailed plan about what needed to be done in preparation for the theory. Whether it was the working papers of the predecessors on the proof of Fermat's theorem and the analysis of the causes of failure, or related research papers, or the small papers and literature related to modulus curves and elliptic curves, the two men exchanged views.
Junxin has no objection to a wide range of knowledge, although he himself has a golden finger, but just by virtue of being able to understand that knowledge, it proves that he himself is not a person who eats on his golden finger. Otherwise, he would not have become a disciple of Professor Witten, the emperor of the mathematical and physical world, you must know that when Professor Witten accepted him, he was almost seventy years old, and he was already about to retire, and he was no longer a graduate student, but he finally accepted him, which shows Junxin's own ability.
Therefore, Junxin has no objection to the list of books, papers and literature listed by Professor Wyles, and even took the initiative to add several documents in the conversation with Professor Wyles. As for Junxin's suggestion, Professor Wiles also chose to adopt it as a matter of course.
At the end of a whole day of talking, the work on Fermat's theorem officially came to an end. In view of the influence of Junxin in Western countries, it is difficult to collect a lot of data, and Professor Wiles is very familiar with the Western academic community, so it is natural that most of the data retrieval work is undertaken by Professor Wiles on his own initiative. But this does not mean that Junxin's job is easy, because he needs to extract something from these things that is useful for the proof of Fermat's theorem. In other words, it is a review that all graduate students in the future will write.
Writing a review of this kind of thing, Junxin is naturally not afraid. For Junxin, who writes related literature such as essays, this is a common thing. But the difference is that Junxin needs to write a review of all the literature that needs a professional mathematician to spend a full eighteen months to collect and sort out, which makes Junxin feel deeply regretful after leaving the door of Professor Wiles's house, but he can only suffer it.