Chapter 39 Mathematics Seminar
Junshin became the youngest researcher at the Institute of Mathematics at Mizuki University, and the matter was something that everyone present knew in advance, including the senior management of the Department of Mathematics, the staff of the Institute of Mathematics, and the administrative top of the school.
So although some people are jealous, no one talks about Junxin's qualifications and other things. This kind of thing is unexpected, but it is also reasonable.
First of all, Mizuki's Department of Mathematics has only been established for less than two years, and it has not yet formed a scale, and the faculty and staff are relatively small, and it is in the weakest period in terms of number, scale, and influence. Relatively speaking, there is relatively unity inside, and there is no intrigue going on, and they agree with Junxin's election as a researcher. In addition, since the establishment of the Department of Mathematics, the only result that can be taken is a proof of the Modler conjecture by Junxin. It is precisely because of the weight of this paper that they were able to obtain a supercomputer approved by the state, although it is small, and the number of calculations is only four million, but Junxin knows that this thing is the basis for China's development of larger-scale electronic computers in the future. Even on top of this, the supercomputers of the Galaxy series were developed.
In this way, several professors in the Department of Mathematics approved Junxin's proposal to become a researcher at the Institute of Mathematics without any objection at all.
However, in addition to Junxin's election as a researcher, several important things were passed at the conference:
The first thing is to set up a project team to study the topic. The research projects of mathematics are different from other disciplines, and are generally linked to other applications, especially in China today, where most of mathematics are directly linked to applied mathematics. The same is true of Mizuki's Department of Mathematics, which was originally named after Applied Mathematics.
However, Junxin only paid attention to the mathematics projects that other people were in charge of, and did not do in-depth research. I just have a certain understanding of my first math project. Even if it solves a worldwide mathematical problem, others still only think that Junxin is still a student, and if he leads a large mathematical project independently, there will be other problems. At the end of the discussion, Junxin could only reluctantly put forward a suggestion, that is, he did not participate in specific applied mathematical research, but concentrated on the study of pure mathematical problems.
Although Professor Hu thought that Junxin had solved a chemical problem, he did not know what the role of the chemical problem was, so he also conservatively chose to let Junxin, a genius in the mathematics department, study pure mathematics.
Junxin doesn't care about this, pure mathematics is pure mathematics, he naturally knows that in the current environment, the funding that can be applied for basic research is far less than that of applied research, but now there is almost nothing lacking in the institute, and basic research is more suitable for Junxin's taste, because it means that what he studies has no conflict of interest with other people.
As for the second matter, it is a cooperation problem on the side of Professor Qiu Chengtong, the initiator of the Institute of Mathematics. At the beginning of the year, Professor Qiu proposed that several famous universities such as Peking University, Shuimu University, and Fudan University should establish a mathematics research institute, and select outstanding students to study in the United States for his graduate studies. This matter has received a lot of attention from the top level in universities such as Mizuki University, and this is the third time that Mizuki University has discussed this issue.
"Junxin, are you really not going?" After the meeting, Hao Peng and Junxin walked side by side, and Hao Peng was still surprised by Junxin's choice.
"What? Any questions? Junxin smiled, did not explain, but asked rhetorically.
"Professor Qiu is a professor at Harvard University in the United States, and Harvard University is considered the world's top university, right? Aren't you tempted to get more resources there? ”
"I don't like Harvard, even though it's really the best in the world!" Junxin said bluntly.
"For... Why? ”
"I don't like the atmosphere at Harvard." "What I want is the kind of pure academic research, and Princeton University is the best at that. ”
"Then you shouldn't give up the opportunity to go abroad, right? Why did you recommend me to study at Prof. Qiu's graduate school? You know, I'm only a sophomore now. ”
"Oh? I'm only a freshman! Junxin said disapprehantly, "I have read the papers you sent, although you follow Professor Hu to study number theory, but in your papers, I found that you are better at solving problems in space geometry, and you have very good insights into topology, which is very similar to Professor Qiu's research direction, so I recommend you to study in his graduate school." ”
"I'm afraid I can't?" Hao Peng said hesitantly.
"It's okay, I'm going to study in the United States in a while, so let's work together then!" Junxin revealed. Professor Faltings' letter he did not disclose to anyone else.
"This is..."
"Professor Faltings of Princeton University told me that the president of their school wanted me to go to Princeton University, and I hadn't thought about it yet, but maybe I had the intention of being an exchange student there for a year, but I wasn't specifically limited to which academic year!"
"Well, it looks like you've already planned your path ahead."
"Don't talk about this, I'm going to learn from Hua Lao to set up a seminar to study my topic, how about it, do you want to join?"
"Is it Fermat's theorem?"
"Probably not!" Junxin paused, shook his head, and said, "But the study of Fermat's theorem should be included!" In fact, I intend to learn from the ideas of my predecessors, such as Hilbert and Robert Langlands, and set up a programmatic mathematical seminar that will focus on these issues. ”
"What's the problem?" Hao Peng was obviously interested.
"There are a total of 12 questions that come to mind now, and I think these 12 questions are worth studying. This is also the direction I choose to study in the future! ”
"Tell me, I think I'm going to be very interested in joining!"
"Well, I'd love to have you on board!" Junxin nodded and said, "The first problem is Fermat's theorem, and I have solved most of the problems, and only the proof of the Taniyama-Shimura conjecture remains. ”
"The second problem is the Poincaré conjecture, which is an important conjecture in low-dimensional topology. It is also the direction of your main research. ”
"There are six fundamental mathematical problems that I think need to be solved urgently in the mathematical community, such as the P-to-NP complete problem, the Hodge conjecture, the Riemann conjecture, the Yang-Mills equation, the Nevell-Stoker equation, and the BSD conjecture."
"There are also problems involving the Lie Groups problem in theoretical physics and the mathematical problem of string theory, which involve the expansion of specific disciplines."
"There are two last ones, and I think the focus is on differential equations and differential geometry. Of course, if it is enough, we can add other branches of research such as number theory, but I think Hua Lao has already done this work, so I will not waste extra resources to do this repeatedly. ”
Hao Peng thought for a moment and asked, "What about Goldbach's conjecture?" ”
If the generalized Riemann conjecture is true, then the weak Goldbach conjecture will naturally be true as well. After all, the Riemann conjecture is the most complete property when it comes to prime numbers, isn't it? But what you said also makes sense, so the Riemann conjecture actually includes the Goldbach conjecture and the twin prime conjecture! ”
"Okay, I'm here!"
"Welcome aboard!"
The two young men chatting side by side did not know that they would create a school of mathematics comparable to the Göttingen School in the future.