Just turned over a new leaf and became a wise and intelligent student

Chapter 344 The Four Directions Given by Xu Qingshan

Xu Qingshan entered the school and walked towards the small building of the Institute of Mathematics as usual. It was not until he was about to enter the gate that he remembered that he had moved to a new laboratory, so he turned around and walked towards his own building.

Before he went upstairs, just downstairs, Xu Qingshan was stunned when he saw the corridor.

The four rooms of this small building are arranged in a row, and the design of the building is somewhat like that of a teaching building for primary and secondary schools. People who are taller can see the doors and windows upstairs from downstairs.

At this time, Xu Qingshan was standing downstairs and had already seen the colorful graffiti in the corridor upstairs, which had a very strong visual impact.

However, this culture, which seems to be closer to the streets, is now expressed in the corridors with colorful mathematical, physical, computer formulas, concrete objects, and various technical terms.

When these square characters and words, which used to be seen only in mathematical monographs and paper documents, appeared on the wall in a trendy way, Xu Qingshan felt an unprecedented pleasure.

It is obvious that this must have been done by Xue Xueqing. She could come up with such a creative thing in just one day. She really shouldn't have studied mathematics. She should have studied art.

Xu Qingshan is certain that it won't be long before his laboratory becomes a campus attraction of Jingcheng University. He doesn't know how lively it will be during the visiting season in July and August.

When he went upstairs, Xu Qingshan's eyes lit up even more.

The corridor was no longer dusty as it was yesterday, it had been cleaned spotlessly. Although it was just a cement floor, it was so bright that it seemed to reflect light. He also took a look when the school cleaning staff came to deal with it yesterday, and they did not achieve such an effect. It should be that the two girls did something themselves.

The eye-catching "academic" graffiti is not only on the doors and walls of the corridors, but also on the inside of the low walls of the corridor handrails that are less noticed by people.

All the curtains in the room have been replaced with new thick, contrasting color curtains with a high degree of light blocking. The colors are bright but not gaudy, and seem to make people feel a lot more relaxed when their eyes move towards them.

Xu Qingshan poked his head out to take a look at the layout of the first large room. Although Wang Wei and Xue Xueqing had not arranged many details due to the short time, the independent workstations that were arranged in an orderly manner and did not interfere with each other looked very impressive.

There was actually a small wooden platform in the middle of the room, which looked quite realistic. Xu Qingshan found it ridiculous when he thought about having Liu Ruochuan standing on this small wooden platform and pointing at the curtain behind him.

"Director, you're here?"

Hearing the noise made by Xu Qingshan, two little heads popped out from the innermost part of the room.

Wang Wei and Xue Xueqing came to the laboratory early in the morning to set up the laboratory. Although it was a bit tiring to move to a new location, they felt a sense of satisfaction when they saw the process of building this small broken room from scratch.

Although they received Xu Qingshan's message last night, they returned to the student dormitory very late because the novelty of doing soft furnishing design had not yet worn off.

"Yes, you two are amazing. Your efficiency is so high. Don't get too tired. You should rest when you need to."

Xu Qingshan was very satisfied. He gave praise and also showed concern.

"It's not tiring, it's very interesting."

Xue Xueqing said with shining eyes, you know, if you graffiti outside the school you will be caught by the urban management, not to mention inside the school, only a young and open-minded mentor like Xu Qingshan would allow her to express herself freely in his own territory.

Just for this reason, Xue Xueqing secretly decided not to go abroad after graduating with her doctorate, and to stay here with Professor Xu as a postdoctoral fellow. If she could stay in school as a researcher or a young professor, she would be satisfied as long as she could be with Xu Qingshan.

However, I don’t know if there would be fewer restrictions if it was Director Xu’s doctoral student, such as the hard requirement that some research positions require studying abroad for two years.

"I'm a bit pressed for time, and I haven't purchased many things yet. I'm going to the furniture store this afternoon to check it out. I spent the budget you gave me yesterday."

Wang Wei was wearing glasses and holding a small notebook in his hand. He was about to tell Xu Qingshan about yesterday's expenses, but Xu Qingshan raised his hand to stop him.

"Well, use the budget you were given. If it's not enough, tell us. If there's any left, keep it as our own team-building fund. Since you're the senior sister, all matters big and small in the laboratory will be handed over to you. If you don't understand something, just ask me and your Director Liu. Xiao Xue, you should help your senior sister more often."

Xu Qingshan said with a smile.

Judging from the changes in this building, it can be seen that letting Wang Wei be in charge of the student management was the right decision. The two students that Lao Zong gave to him were surprisingly useful and reliable.

"okay."

Wang Wei nodded, turned two pages expressionlessly, and continued.

"This is a mathematics laboratory. I've learned about the information science laboratory next door. Maybe we need to invite a professional team to come for interior design. I'll go find out about that. It would be even better if you could arrange for me to have some teachers from the School of Information Science or the school's Electronic Information Maintenance Department to consult with me."

"The third office has been cleaned, but it is not clear how many researchers we will have. We have arranged four partitions inside and placed four sets of desks and chairs inside. Then we converted the last office into a suite. The entrance is the public area, and the windows on both sides are your office."

Wang Wei briefly and concisely put forward his needs and the progress of task completion.

Xu Qingshan nodded with satisfaction.

"Just arrange it according to your pace. After you finish your work and come back from Ice City, we can talk about the direction you are interested in. After you have determined the direction, I will tell you some topics that are worth paying attention to."

Xu Qingshan casually suggested.

Xue Xueqing on the side was a little envious, but then she changed her mind and realized that she had gotten the research direction earlier. Recently, she had been working hard to catch up on the knowledge related to Diophantus, and from time to time she would ask Xu Qingshan for some papers to conduct in-depth research.

She has discovered that although her mentor is young, he is a super treasure boy.

Perhaps he is still lacking in overall breadth, but in the specialized precision he has studied, he has accumulation and depth that ordinary people can hardly achieve. It seems that he has super strong retrieval and system extraction capabilities, which are easily overlooked but crucial to academic research.

"I have a direction, teacher. After I recently reviewed your work on the twin prime conjecture, I feel that the methods you used in the analysis should come from the automorphic L function, sieve method, and new circle method. I am now basically sure that my core work in the follow-up doctoral stage is to do analytical number theory. At present, the best route for me to do is to follow your route to complete the supplementary analysis of the twin prime conjecture, and to supplement and improve the methods you used in algebraic geometry, geometric topology, and the new sieve method. However, I hope that I can complete two papers within the academic limit. The work topic of the other paper may require your advice."

Wang Wei, a girl who usually doesn't talk much, seemed to be too immersed in the state after getting the position of senior sister bestowed by Xu Qingshan himself.

This speech, which was full of rationality and self-improvement ideas, surprised Xu Qingshan even more.

How come this little king seems to have evolved quietly in just one or two days?

He couldn't help but glance at Xue Xueqing who was standing next to him with a similarly surprised look on her face. Xue Xueqing happened to meet Xu Qingshan's gaze and looked up at the sky and the ground guiltily.

Well, no wonder the eldest senior sister is Wang Wei. Little Xue simply can’t compete with Little Wang, right?
"Yes, your thinking is very clear. As for analytic number theory, some people have been saying that analytic number theory has reached its end. Last time, someone said that after I solved the twin prime conjecture, it would be the last masterpiece in the field of analytic number theory."

Xu Qingshan said with a smile on his face. "Although my current work is also extending to other directions, I can tell you clearly that analytic number theory still has a bright future, and there are still many directions and topics to tackle."

"With the progress of the times, analytic number theory has actually been developing. It is not just about the Riemann hypothesis and the Langlands program. So, since you have thought so clearly, I will give you a few directions. You can learn more about them in the near future and tell me your decision in the end."

Xu Qingshan stretched out his hand and opened his fingers to count the assignments he had given to Wang Wei.

"The first one is the automorphic L function you mentioned. When I was working on it, I actually paid attention to the sub-convex bound problem of the automorphic L function. This problem is actually quite core. I studied the upper bound estimate of the L function when the real part is 1/2."

"The second one is the relationship between the prime number distribution and the Möbius function. I remember that Terence Tao seems to have been paying attention to this recently. He updates his latest work on his blog from time to time. As a big shot who just won the Fields Medal and the Altman Award a few years ago, I am not being modest. The breadth and inspiration of his work are much higher than mine now."

Xu Qingshan paused, perhaps thinking about where to start with the second topic he gave Wang Wei, and a few words naturally popped up in his head.

"Well, you can try to find a way to solve the Möbius orthogonality conjecture and try to understand the oblique product."

Xu Qingshan quickly and without reservation offered his ideas, and Wang Wei also worked hard to write them down in his little notebook.

Only Xue Xueqing was standing nearby, looking dazed like Zhu Bajie.

"Then the third one is the arithmetic properties of algebraic varieties of projective spaces. You can incorporate my algebraic geometry solution to invert the problem of how to calculate the rational points of algebraic varieties, such as the Manin conjecture and Birch's theorem."

"Fourth, the new circle method I used is actually something that was invented more than a decade ago. You can read Wiles Brown's book A new form of the circle method. The introduction of Kloosterman is very useful in solving problems related to quadratic forms. It is not limited to the original circle method path and can be done in depth."

"That's about it."

Xu Qingshan thought for a moment and added.

"If you want to do analytic number theory, or if you want to do it in depth, go further, and be more distinctive, you can't just do analytic number theory. For example, the Möbius conjecture is linked to dynamical systems and partial differentials at the intersection of physics. The algebraic variety of projective space is directly based on the background of algebraic geometry. Even harmonic analysis can be integrated into analytic number theory to develop a larger space."

"Combine your interests and find your entry point, and you will succeed."

Xu Qingshan patted Wang Wei on the shoulder, nodded to Xue Xueqing, and left the mathematics laboratory, somewhat impatiently going to see his own independent office.

Originally, he was still thinking that if he stayed in the same office with Liu Ruchuan every day, would he one day be provoked by this senior brother who loved to talk nonsense into a fight in the office.

Now I can rest assured.

As soon as he entered the office, Xu Qingshan was very satisfied at first sight.

This separated suite is actually somewhat similar to the layout of the previous one in the Institute of Mathematics. Although these buildings of various sizes in Beijing University are a bit old and have not been renovated, they are kept clean by the two girls.

And considering that the two family members of Xu Qingshan often came to the laboratory, he must be worried about the workstations there, so he put two workstations in Xu Qingshan's office, specifically for those two.

It's just that the layout has been slightly adjusted.

Xu Qingshan's desk was moved forward to become a large L-shaped desk. The huge bookcase moved from the Institute of Mathematics was placed behind the desk, serving as a background wall for Xu Qingshan to talk with students and researchers. The bookcase wall was also used as a partition, with two workstations and a single iron bed for rest reserved inside, which meant that all the space was utilized.

"Wow, why is your office so compact? Mine is spacious and bright."

Xu Qingshan was just thinking about what to put in the room. Liu Ruchuan just saw him coming over and came out of the office to say hello and show off.

The bookcase in his room was placed against the wall, and there was only a desk and a sofa in the whole room. The light coming in from the window completely filled the entire room.

"Because I often have family members visiting, unlike you."

Xu Qingshan stopped talking and looked at Liu Ruochuan with a look of pity on purpose.

Liu Ruochuan suddenly said "Eh".

"No, no, no, I won't scold you anymore. What's that look in your eyes? It makes me look so pitiful. When I was in a relationship, you were still wearing diapers."

Liu Ruochuan said stubbornly.

"Tsk, you're still being stubborn."

Xu Qingshan smiled contemptuously, and Liu Ruchuan was defeated.

"Speaking of which, how do you arrange for the students in the Department of Information Science? I can't help you check the researchers and students in the Department of Information Science. You'd better find an assistant to help you manage the Department of Information Science."

Liu Ruochuan suggested.

He has already started interviewing candidates, and there are many senior and young scholars who hope to join Xu Qingshan's team.

We are all engaged in scientific research, and we know Xu Qingshan's level and whether he can produce results.

"Well, okay, I'll just look for Mei Yuan from the School of Information Science and Technology when the time comes."

Xu Qingshan was talking when he suddenly stopped.

"Actually, there's no need. Our school didn't say that we can't recruit foreign researchers at the Institute of Information Science. I went to the Information Science Center in a few days and almost forgot about those people."

Xu Qingshan laughed. Liu Ruchuan didn't understand what he meant. He shrugged and went back to his office.

He also needs to think about how to design his own office.

If nothing unexpected happens, Liu Ruchuan will use this office for a long time.

Xu Qingshan had already started thinking about what kind of people he could recruit from Professor Davis and his team.

(End of this chapter)