“…… On page 133 of the paper, I have given a formula, but I have not done any specific calculations on this formula, but if you have any doubts about the derivation of this formula, I can explain it further here. This is a system of second-order partial differential equations, and my solution is as follows: take a partial derivative ......"

“…… Your problem is not described in my paper, it's not that I don't think it's important and haven't studied it, on the contrary, I think this problem is too important, so I want to take it out and study it separately, about this part of the research work, although it is not very convenient to disclose, but it is also possible to roughly say that my idea to solve this problem is still okay. This is indeed a difficult point of proof in the Langlands program, but it is entirely possible to make assumptions by giving the basic lemma, and the specific process is as follows......"

“…… I do not agree with you on this issue, because if you follow your line of thought, there is a fundamental problem that must be solved, otherwise you will get a view that is very different from the original conjecture, such as the problem of functality, etc., and on the basis of this assumption is a conclusion that does not conform to the conjecture......"

"On this subject, it should belong to the category of harmonic analysis in mathematical analysis, and I don't have much to do with harmonic analysis, so I can only give my opinion on this problem, you can try to use the partial differential to convert it to full differentiation to try it, I think it should be rewarding. If you have time, we'll discuss the specifics after the meeting. ”

Junxin swayed freely on the stage, answering a question or doubt from his peers. For him, answering such questions is just a matter of handy, and some of them can even give an idea and a rough idea of the process of deduction on the spot. But his performance completely suppressed the exchange students who came to Princeton University with him, including Gu Mengxue, who has always known Junxin well.

"I think Professor Mirno is completely redundant, and based on Junxin's current performance, even if he answers these questions during the defense, there is no problem at all, right?" Li Zixiao took a deep breath and said.

"Professor Mirno's meaning should be that there are a lot of routine questions that need to be answered during the dissertation defense, and the direct announcement of skipping this link should be in order to be able to free up extra time to solve these mathematicians' questions!" Murong Yun stared at Jun Xindao who was swaying freely on the stage.

"I can't imagine what it would be like if one day we were defending our dissertation and we needed to solve these strange problems of scientists face-to-face on the spot. Just thinking about it makes me feel goosebumps. Sun Xiao couldn't help but smile bitterly at this time.

"Well, I don't have much to worry about that. Even if we participate in the doctoral dissertation defense, it is estimated that we will not be able to gather so many scholars in the same field like Junxin, although I feel a little discouraged, but I am really relieved! Ye Li, who has always been taciturn, couldn't help but joke.

"Mengxue, have you ever attended a seminar or a conference like his?" The three girls on the side also began to chat, and Zhou Yunzhen turned her head and asked Gu Mengxue.

"He never suggested that I attend his results conference or seminars, and the only time was when he was called by Professor Hua Luogeng and Professor Wang Yuan to discuss his Moder conjecture, and I followed him, and I have not attended his results conference since then." Gu Mengxue thought seriously for a while and said.

"Why? Did something happen in between? ”

"At that time, I felt that the math in his high school was different from the math in our high school, because I could understand every word when they discussed the problem, but when they were put together, I felt that all the math in my high school was returned to the teacher." Gu Mengxue had a strange smile on her face.

"Can you introduce him, I know him, there are a lot of math problems, I think I can ask him!" Zhou Yunzhen pushed his glasses and said seriously, he is the only exchange student among these people who studies economics and finance, and the connection between economics and finance and mathematics is the most closely related discipline in addition to science and engineering.

"Didn't Senior Sister know him? I don't need to introduce you, do you? Gu Mengxue glanced at Zhou Yunzhen and asked strangely.

"Unfamiliar!"

……

In the audience, Professor Mirno and Professor Feverman sat together and whispered to each other.

Professor Mirno said: "It seems that we have been overly concerned, Jun can control such a large and rigorous mathematical system, and the early announcement of his Ph.D. in mathematics at Princeton University now seems completely unnecessary." ”

Professor Feverman looked at the stage and said, "But it doesn't detract from his glory, because he still set a record for Princeton University." I'm afraid it's hard to interrupt this record in the future. ”

"But I'm looking forward to maybe one day someone will be able to surpass him, but in the future of mathematics, at least thirty years, he is probably the most dazzling one. At least thirty years will dominate the future of mathematics! Another Grothendieck and Hilbert. ”

"I think he's another Euler and Gauss. After all, both of them are known for their prolific and extensive research, Jun has studied the Moder conjecture, the Pangjialai conjecture, the Langlands program and other mathematical problems in a very short period of time, involving group theory, number theory, algebraic geometry, Riemannian geometry, mathematical analysis, complex variable functions, topology and differential geometry and other disciplines, in the future he may be on a broader stage, in fact, few people know that he also has high attainments in ordinary differential equations and partial differential equations, which can be seen from his papers. A lot of functions and equations, even I have gained something! ”

"There's one more thing you don't say, and that's the study of variational methods and statistics, which are commonly used in physics. Coupled with the harmonic analysis he just mentioned, the whole field of mathematics is almost approaching. ”

"Haha, what an interesting guy, maybe he can grow up so much that he can become the uncrowned king of mathematics like Euler and Gauss!"

"I'm looking forward to that day. Perhaps he is pursuing the unification theory of physics at the same time as the unification of mathematics, otherwise there is no need to study such a broad field! ”

"Won't it?" Professor Feverman looked at Professor Mirno in surprise.

"I feel that the Langlands Program is one of them, and perhaps the eager study of the Langlands Program is also a preparation for this, but who knows what the truth is. I hope to see him in his lifetime the highest achievement in mathematics. ”

“……”