"How did you come up with the idea of using this method to prove that there are infinite prime numbers in the Fibonacci sequence?"
"Is there any more in-depth research on your topological group theory?"
Yutani asked two questions in one breath, without giving the other professors around him a chance to interrupt.
Of course, no one else, including Yuan Chengming, had any intention of asking.
None of them studied number theory, so it would be more appropriate to hand over the initiative to Satoshi Yutani at this time.
Xu Yun's papers were all written independently by himself, and all the contents were understood by heart.
Faced with Yutani Satoshi's question, he answered without much hesitation.
Logic is clear and eloquent.
"There have long been scholars in the field of mathematics who have tried to combine topology and sieve methods. I just added my own understanding to further improve it."
"In the process of trying to verify the calculation, I found that it can be used for proofs related to prime numbers."
"That's how today's paper came about."
"There is still room for improvement in the topological group theory I study, and I plan to continue optimizing it and write a paper specifically."
"Your talent in mathematics is really enviable. I believe that after your topological group theory is published, it will definitely cause a shock in the entire number theory community." After learning that Xu Yun did not explain topological group theory in detail in his graduation thesis, Yutani blushed. The disappointment on his face was visible to the naked eye, but he finally expressed his expectations for his new proof method: "Perhaps it will become the key to proving the famous conjectures in number theory."
"Thank you Professor Tang for your recognition. I will work hard to improve this new proof method."
Xu Yun nodded when he heard this, and while making the promise, he did not forget to express his gratitude to Yu Gucong.
Next, Tang Gucong asked several questions based on the courseware, and Xu Yun answered them in a clear and logical manner.
This shocked Yutani Satoshi even more.
He can be sure that Xu Yun's research in the field of number theory is not low.
Even catching up with him.
Otherwise, it would be impossible to combine topology and the sieve method to create a new proof method such as topological group theory.
But Xu Yung just proved the Hodge conjecture, which is a difficult problem in mathematics in the world. Logically speaking, he should not have much energy to study number theory.
The algebraic geometry and topology involved in Hodge's conjecture are completely different subjects than number theory.
It can be said that if you look at the entire mathematics community, you can't find anyone as proficient in everything as Xu Yun.
The key point is that Xu Yun entered university to study advanced mathematics, and the total time it took was just two years.
There is really no other possibility for such an astonishing learning speed except to attribute it to one's own talent.
By this time, Tang Gucong was already convinced, and he was even more grateful that he agreed to Yuan Chengming to participate in Xu Yun's undergraduate graduation defense. Otherwise, missing this paper would definitely be a huge loss.
At this point in the defense, Tang Gucong basically had no problems, so he announced on the spot that Xu Yun had passed his graduation defense.
"I have no objection."
“This was the most valuable graduation defense I have ever participated in.”
After speaking, he turned to look at Yuan Chengming and others: "What is your opinion?"
"If Lao Tang can give you such a high evaluation, how can we have any opinions?" Yuan Chengming smiled with wrinkles on his face, expressing his feelings for others.
Xu Yun is a member of the Mathematics Society and a leader in the future development of the domestic mathematics community that he is optimistic about.
Now that Xu Yun has achieved such great results in the field of number theory, he is naturally very happy.
After listening to Yuan Chengming's words, Tang Gucong nodded and then turned his eyes to Qin Xiangxin next to him.
There was a very obvious sourness in the words.
"Old Qin."
"Your Peking University Mathematics Department is really lucky to have recruited such talented students."
"But it makes me very envious."
"Why don't you let us train Xu Yun?"
"Don't even think about it. If you have the ability, your Imperial City University will train a student who can prove the world's mathematical problems." Qin Xiangxin replied to Tang Gucong with a smile on his face, and then looked at Xu Yun who was standing on the podium, and his eyes changed. He became softer and kinder: "Congratulations on your successful graduation. The school will hold a graduation ceremony for you next month."
After speaking, he took the initiative to applaud, causing a burst of warm applause to be heard in the defense room.
After finally completing his undergraduate studies, Xu Yun relaxed and walked to the middle and leaned down to express his gratitude.
"Thank you to the school and all the teachers for your training."
The graduation defense was officially over at this point. Wu Zhongping arranged for He Antai to send Yuan Chengming, Tang Gucong and others to the lounge, while the rest of them walked up to Xu Yun to talk.
"You kid took number theory as your graduation thesis research topic, and you didn't even tell me in advance."
Tang Yanshan spoke first, looking at Xu Yun with very complicated eyes.
In the past, Xu Yun had achieved results in the field of algebraic geometry, and he could still convince himself that his teachings were involved.
Now facing the field of number theory, which he was not good at, he had to admit that Xu Yun relied solely on his own talent, and he did not play any guiding role in number theory.
Although teachers with excellent students should be happy, it will inevitably include other different emotions.
When Xu Yun heard this, he grinned with an honest smile and answered unhurriedly.
"Professor Tang."
"Didn't you ask me to do this independently?"
"I thought you were good at algebraic geometry." Tang Yanshan was about to refute Xu Yun's words, but stopped mid-sentence: "Let's not talk about what is over now. The value of your graduation thesis It’s very high, so it’s best to choose a journal and publish it.”
"I will submit it to the Annual Journal of Mathematics when I get back." Xu Yun replied in a deep voice.
He took this into consideration when writing his graduation thesis.
Prove that there are infinite prime numbers in the Fibonacci sequence, and use a new proof method.
It may not be as influential as Hodge's conjecture, but it is enough to appear in the top four journals of mathematics.
For this reason, two language versions were specially created when writing.
You can submit your manuscript to the journal at any time.
As for choosing a mathematics annual journal, it is also very simple. In addition to having already submitted the manuscript once, I believe that the review process will be greatly reduced and it will be published in the shortest time.
Seeing that Xu Yun was well prepared, Tang Yanshan felt relieved and couldn't help but be envious.
As a full professor in the Department of Mathematics, he publishes papers less quickly than his students.
It's really shameful.
Moreover, Xu Yun published several times in core journals.
I can only say that the students are so outstanding and the teacher is also Alexander.
At this time, Qin Xiangxin interrupted the conversation and asked Tang Yanshan to bring the conversation back to business.
"Okay, Old Tang, let's get down to business first."
"I would have forgotten it if you didn't mention it." When Tang Yanshan heard Qin Xiangxin's reminder, he immediately remembered things other than the graduation defense, so he turned his attention to Xu Yun again and said seriously: "This is Xu Yun, the department invited You join the school’s newly established Institute for Advanced Study in Mathematics.”
“Become a Lifetime Member of the Institute for Advanced Study.”
"Institute for Advanced Study in Mathematics?"
"Life member?"
When Xu Yun heard this sentence from Tang Yanshan, the expression on his face changed quickly.
Of course he knows what the Institute for Advanced Study in Mathematics is, but a lifetime member must at least obtain the title of professor.
And the number of lifetime members is also very small.
He had previously heard Qin Xiangxin mention that Beijing University would establish its own Institute for Advanced Mathematics, but he did not expect that he would be invited to join as a lifelong member.
Tang Yanshan didn't pay attention to Xu Yun's thoughts, and immediately took over what he had just said and continued.
"Although the Institute for Advanced Mathematics has just been established, the current life members are only Dean Qin, me and Lao He."
"Although you have just graduated from undergraduate school, you are qualified to join just by proving the Hodge conjecture."
"The future development of the Institute for Advanced Mathematics at Peking University will depend on your support."
"I have discussed this matter with the principal. If you join the High School, you will enjoy the same subsidies as Old Tang, Lao He and others. After you graduate with a master's degree and a doctorate, the High School will also grant you a master's degree and a doctorate in mathematics." Qin Xiangxin Taking advantage of Tang Yanshan's pause, he added again: "No matter what major you choose as a graduate student, you will be able to get a double degree certificate."
Xu Yun listened to all Qin Xiangxin's words, and couldn't help but feel a little moved in his heart.
With his current level of mathematics, it would be a waste of time to continue studying mathematics as a graduate student.
But if Qin Xiangxin joins the High School, it will not affect his continued study of mathematics, but he can also learn new professional courses to supplement himself.
The key is to get a double degree certificate after graduation.
This is basically no different from directly issuing him a master's and doctoral degree certificate in mathematics.
Moreover, you can also get subsidies from the High Court.
When he was thinking about the benefits, Wu Zhongping's voice suddenly sounded in his ears.
"It won't hurt you to join the Institute for Advanced Study in Mathematics now. Anyway, you can get the title of professor after you graduate with your Ph.D."
Since even the principal said so, how could Xu Yun have any reason to refuse.
His thoughts stopped here and he immediately expressed his stance: "I am willing to join the Institute for Advanced Study in Mathematics."
"Very good."
"That's what I've been waiting for."
"OK."
After receiving Xu Yun's affirmative answer, Qin Xiangxin had a bright smile on his face and said several good words.
After calming down a little, he gave Xu Yun instructions.
"The school has allocated space for the Institute of Advanced Studies. From now on, you can study mathematics directly in your own office."
"In particular, we cannot relax our research on your topological group theory, and strive to solve a few more world-wide mathematical problems on behalf of the High Court."
Xu Yun didn't know that what Qin Xiangxin was talking about was superficial. Anyway, he was very confident in his topological group theory.
After further optimization and improvement, it may be possible to solve Goldbach's conjecture and Riemann's conjecture.
So he nodded solemnly: "Don't worry, Dean, I will do my best to study it."
After solving the math-related matters, there is only one important thing left.
That is the choice of graduate major.
At this time, Xu Chongxing, who had never spoken next to him, finally caught the opportunity and immediately extended an invitation to Xu Yun enthusiastically.
"How about Xu Yun, do you want to come to our Institute of Physics for graduate school?"
This time, neither Tang Yanshan nor Qin Xiangxin said anything, and they completely respected Xu Yun's own opinions.
In the past, he would definitely not have let the talent drain from the mathematics department, but Xu Yun's talent was so strong that he completed mathematics-related professional courses in just two years.
There is really no reason for him to continue to stay in the Department of Mathematics. Anyway, he has already joined the Institute for Advanced Study in Mathematics.
(End of chapter)
