I've been reborn, who still chases the school hunk?

Lu Xuanxin briefly reported to Professor Marco on his recent research direction and problems encountered.

After listening to this, Professor Marco fell into deep thought. After a while, he looked up and said to Lu Xuanxin: "Combining the circle method with the sieve method is indeed a direction worth exploring, but it is not easy. However, you actually want to introduce group theory, which is an unprecedented attempt! I know you have done a lot of work, but how to perfectly integrate these three is indeed a key issue."

Lu Xuanxin shrugged helplessly: "In fact, at first I just wanted to integrate group theory and sieve method, but later I found that the integration of these two methods might not be enough to solve this problem, so I thought of borrowing the concept of circle method..."

Professor Marco nodded and said, "Your idea is fine. The key is to find a way to integrate the three. I suggest you go to the Flint Library to look at Galois's manuscripts. He is the founder of group theory and may be able to give you some inspiration. It's a pity that there are no manuscripts of Abel and Cauchy there, otherwise you could also refer to their ideas."

Lu Xuanxin listened carefully to Professor Marco's advice and nodded continuously: "Okay, Professor, I will go."

Next, the two discussed some possible research directions on the Goldbach conjecture and the conception of the Hodge conjecture. The entire conversation was full of academic atmosphere and deep friendship between teachers and students.

Professor Marco's mind is like a sharp sword. Even though he is very old, his mathematical intuition still surprises Lu Xuanxin. Lu Xuanxin is a smart girl. She has learned a lot from Professor Marco's profound mathematical intuition and rich experience.

"Okay, let's stop here for today."

Professor Marco looked at Lu Xuanxin with a smile and said softly.

"I can't compare with you young people. You have such sharp minds, quick reactions, and abundant physical strength."

After saying this, Professor Marco's eyes revealed a hint of envy. He looked at Lu Xuanxin, as if he was recalling his youth. Yes, he was once like this, but now, he can only sigh that time flies.

Lu Xuanxin bowed slightly to Professor Marco and said, "Professor, I'm leaving first."

"Alright, go ahead."

After Lu Xuanxin left the office, she did not go back to the dormitory directly, but came to the Flint Library and went directly to the third floor. The old administrator on the third floor had known Lu Xuanxin for a long time, and did not feel strange to see her coming up. The old administrator helped her find Galois's manuscript, and Lu Xuanxin kept reading there until after nine o'clock in the evening before leaving the library.

Walking on the road to Princeton University, Lu Xuanxin frowned, as if thinking about something. She had just read Galois's manuscript and had indeed gained a lot. She felt that her understanding of group theory had deepened. However, when she thought about introducing group theory into the sieve method and the circle method, she felt that it was extremely difficult and could not help but smile bitterly and shook her head.

"It's so difficult!"

Lu Xuanxin sighed, then returned to the dormitory and fell asleep peacefully.

The next morning, Lu Xuanxin had just woken up from her sleep and was stretching lazily in the warm bed. Suddenly, the phone beside the bed rang rapidly, breaking the tranquility.

Lu Xuanxin was slightly startled, then reached out and answered the phone.

"Lu Xuanxin! Have you arrived in Princeton?" A familiar and excited voice came from the other end of the phone.

Hearing this voice, Lu Xuanxin was stunned for a moment, and then she remembered that this was her old friend Tao Zhexuan.

"Yes, I'm here!" Lu Xuanxin replied with a smile.

"I'm right outside Nassau Hall! Come find me quickly, I think I've found the key to solving the Goldbach conjecture!" Tao's voice was full of excitement and anticipation.

When Lu Xuanxin heard this, he couldn't help but feel a little excited.

"Okay! I'll be there right away!" She quickly hung up the phone, jumped out of bed and started washing.

Not long after, Lu Xuanxin arrived at the door of Nassau Hall. She saw Tao Zhexuan standing there at a glance. Although the two had only communicated through letters before, meeting each other now was like meeting old friends for many years.

"Hey! Lu Xuanxin!" Tao Zhexuan recognized Lu Xuanxin at a glance. The two smiled at each other and shook hands warmly.

"Let's find a place to have a good chat!" Lu Xuanxin suggested.

Afterwards, the two went to a cafe in Princeton and sat down in a secluded corner.

Soon after sitting down, Tao couldn't wait to tell Lu Xuanxin about his discovery: "Lu Xuanxin, I found a way to solve the Goldbach conjecture!" He excitedly explained his ideas, while Lu Xuanxin listened carefully and asked some questions from time to time.

The two men delved deeper into their discussion, the lights from the café casting focused shadows on their faces.

The two left the cafe until it was about to close. They went to Tao's residence in Princeton and continued to discuss the Goldbach conjecture.

It was late at night before Lu Xuanxin returned to the dormitory to rest.

The next day, the two met again in the cafe where they had met the day before and continued to discuss the Goldbach conjecture. They exchanged their research and ideas, and the discussion became more and more intense.

However, on the third day, the two finally had different opinions.

"There's something wrong with your method!" Tao Zhexuan said with a frown as he looked at the formula written on the paper by Lu Xuanxin.

“I think introducing group theory into the sieve method is the key to solving the problem, but you shouldn’t add the circle method. Mathematics is not the more complicated the better, the key is to find the right method,” he said firmly.

Lu Xuanxin had a different opinion: "I think it is impossible to completely solve the Goldbach conjecture by relying solely on group theory and the sieve method. We have already seen the limitations of the sieve method, and the circle method should play a more important role in it!" She retorted seriously.

The two fell into a heated discussion again, but could not reach a consensus.

Finally, Tao took a deep breath and said, "Since we have different opinions, let's each study it in our own way! Let's see who can finally solve this problem!"

Lu Xuanxin also nodded in agreement: "Okay! Then let's go our separate ways!"

In scientific research, it is very important to stick to your own beliefs and ideas. Although the two disagreed, they both firmly believed that their own methods could successfully solve the Goldbach conjecture, a difficult problem in mathematics.

After saying this, Tao Zhexuan looked at Lu Xuanxin deeply, as if expressing his admiration and blessings for this female scientist.

After Tao left Princeton, Ms. Lu Xuanxin began to study her own methods on her own, hoping to further improve her understanding of the Goldbach conjecture. At the beginning, Tao and Lu Xuanxin had discussed together and had initially found clues to solve this mathematical problem.

There are two possible paths to solve this mathematical problem, but the two people have a disagreement. Both paths are difficult to follow. Whether it is to introduce the sieve method into group theory or to integrate group theory and the circle method into the sieve method, it requires a lot of time and energy to study and verify.

In the end, the two decided to try their own way to see who could finally solve this mathematical problem. After Tao left, Ms. Lu returned to her previous life, but she went out less and went to the library less often. She spent most of her time in the dormitory, thinking hard about the Goldbach conjecture.

However, despite her focus on mathematical research, Ms. Lu Xuanxin also needs to help Professor Marco teach, which is also one of her duties as a doctoral student. Today is Ms. Lu Xuanxin's first class for undergraduates at Princeton. When she walked into the classroom, she found an acquaintance sitting in the front row.

"Huh?" Ms. Lu Xuanxin was slightly stunned when she saw this person.

"Goddess Xuanxin!" Qin Yanyan was stunned for a moment when she saw Ms. Lu Xuanxin, and then she exclaimed in surprise.

Ms. Lu Xuanxin recalled that Qin Yanyan was the organizer of the international student group when she first arrived at Princeton, and she also organized a welcome party for her. She didn't expect that she was still an undergraduate. Princeton does not recruit many Chinese undergraduates, most of whom are masters and doctoral students.

"Hello!" Ms. Lu Xuanxin responded with a smile.

Qin Yanyan was a little excited, but soon calmed down. Most of the Princeton students around her also knew Ms. Lu Xuanxin.

"Excuse me, are you Ms. Lu Xuanxin?" asked a slightly bolder student.

Ms. Lu Xuanxin smiled and nodded: "Yes, I am Lu Xuanxin."

"Oh!" The students' eyes lit up, and then the bell for class rang.

"Quiet, the bell has rung, let's start class!" Ms. Lu Xuanxin said calmly.

The students all fell silent after hearing this. They were all students from top universities, and although they were curious and excited about Ms. Lu Xuanxin, they also knew what was important and what was not.

"Today, I will talk about the form of group theory in number theory." Ms. Lu Xuanxin wrote on the blackboard.

"... In number theory, Lagrange and Gauss studied classes of quadratic forms with the same discriminant D, that is, forms of the form f = ax^2 + 2bxy + cy^2, where a, b, c are integers, x and y take integer values, and D = b^2 - ac is a constant. For the 'composite' multiplication of two quadratic forms, they form a commutative group."

Ms. Lu Xuanxin was thinking while explaining the content of group theory. Although she was teaching undergraduates, she was thinking about much more than that.

While she was teaching, Professor Marko said to Professor Bonezhfu from outside the window: "My doctoral student Lu Xuanxin's class is going well, right?"

Professor Bonezh's face remained calm in the face of doubts. He just nodded slightly, as if confirming something.

"I have never had any doubt about Lu Xuanxin's talent. However, I do have some small doubts in my heart as to whether she is qualified enough to be a mentor." His words revealed some deep thought.

Professor Marko looked at Professor Bonezhev's calm expression and didn't know how to refute for a moment. He could only shout angrily: "Are you jealous?"

Professor Boneyev shrugged and asked, "How is your research on the Hodge conjecture going?"

Professor Marco replied: "Not bad, we have made some new discoveries..."

After watching Lu Xuanxin’s wonderful lecture in the classroom, the two of them communicated privately for a while and then left the classroom together.

Not long after, the bell rang for the end of get out of class.

"Okay, today's class ends here!" Lu Xuanxin said to the students in the classroom with a smile. She looked calm, giving people a warm and firm feeling.

After packing up a few books, she prepared to leave the classroom.

"Teacher, I would like to invite you to have a meal together. What do you think..." A girl next to her, Qin Yanyan, suddenly called her.

Lu Xuanxin was stunned for a moment, turned to look at Qin Yanyan, then shook his head and said, "No, I'm really busy recently."

After saying that, Lu Xuanxin returned to the dormitory alone.

She's not kidding, she's been busy. She's made great progress recently on the Goldbach conjecture, but there are still some key details to figure out before it can be solved.

At this time, Lu Xuanxin was immersed in teaching and research.

At the same time, in another field, Fengfeng Group finally successfully established a production line for intelligent sorting system equipment after preparations and hard work during the winter vacation and the Spring Festival!