Hearing Xu Chuan's praise and affirmative answer, the tense atmosphere in the office immediately disappeared.
Amelia's crescent-shaped eyes curled up, and the corners of her mouth curled up in a happy arc.
To her, this is undoubtedly the best answer in the world.
"I have to thank you for your teaching." Amelia squinted at the crescent moon and said with a smile, her blue eyes filled with gratitude.
Indeed, for her, the decision she made at Princeton completely changed her destiny.
If she had gone to Princeton to study according to her father's original arrangements, it is hard to imagine that she would be able to complete the proof of a world-class mathematical conjecture today.
Although Princeton is indeed very strong, not every student who graduates from Princeton can achieve breakthroughs and dreams in their respective fields.
And here, she took this crucial step.
Of course, having gone all the way to the end, she knew better than anyone how much help the young mentor in front of her had brought to her, and she also knew how powerful her mentor was.
Whether it is mathematics or physics, for him, as long as there is a question, there seems to be an answer.
...
Looking at the manuscript paper in his hand, and then at Amelia and Gu Bing standing in front of him, Xu Chuan smiled happily, as if he was seeing the children he had raised with so much hard work.
If we want to rank the difficulty of Bloch's conjecture, it is almost at the T3 level. For example, the Weyl-Berry conjecture he studied is lower, probably about the same as the twin prime conjecture, and maybe a little more difficult.
However, its name is not as big as the twin prime number guess, but it is of great significance to the mathematical community. Because the normal family functions are widely used in complex variable function theory.
Of course, if we talk about difficulty, in the absence of the mathematical tool "algebraic variety and group mapping tool", it may be a little more difficult than the twin prime conjecture.
But after the emergence of this mathematical tool, the difficulty has been reduced a lot.
When he was studying the Hodge conjecture in the past, the bridge he established in the three disciplines of algebraic geometry, analysis and topology greatly reduced the difficulty of Bloch's conjecture, a problem similar to the Hodge conjecture.
Two years have actually been enough for some people in the mathematical community to accept and digest this mathematical tool.
In the days to come, even without Amelia and Gu Bing, others are likely to solve this problem.
After all, when a new mathematical tool is born, solving the mathematical problems it can solve is actually just a matter of waiting for time to ferment.
Just like the 'P.S. Progressive-Geometry Theory' tool developed by Peter Schulz, after completing it, it is only a matter of time before further breakthroughs are made to the Langlands program.
Of course, no matter what, it is not easy for them to use a mathematical tool to solve a T3 level mathematical conjecture.
After all, algebraic variety and group mapping tools have appeared in the mathematics community for two years now, but except for Amelia and Gu Bing, I have not heard of anyone else using this work to solve problems similar to Hodge conjecture.
A major breakthrough.
At least, they are already better than more than 99.99% of mathematicians, and can be called a great 'mathematician'.
I have to say that this is indeed a different kind of sense of accomplishment, which can be said to be no less than solving a difficult problem personally.
...
Smiling, Xu Chuan said: "Rather than thanking me, you should thank yourselves more for your steadfast study and research over the past two and a half years."
"What I provide is just a direction and a platform. It is you who continue on this path and study it."
After a slight pause, he continued: "Have you decided on the target journal for this paper?"
Amelia shook her head and said, "I haven't thought about it yet. Professor, do you have any recommendations?"
Xu Chuan thought for a while and said with a smile: "Annals of Mathematics." Bloch guessed that although it is not a very popular research field, it is not low in difficulty. I believe that "Annals of Mathematics" will be very surprised by your submission.
.”
"Of course, if you and Gu Bing have other choices, that's fine too. But I suggest you try to choose among the four major journals, because it's worth it."
After listening to Xu Chuan's suggestion, Amelia nodded seriously and said, "I will discuss it with Senior Brother Gu Bing."
Xu Chuan smiled, glanced at the two of them and asked: "When your thesis passes the review, it will be when you graduate from me. Have you ever thought about where to work after graduation? Or, you need my help to recommend.
For a moment?”
Although the paper hasn't been published yet, he can basically give a positive answer after reading it. It's just a matter of time for the two of them to graduate.
Hearing this, Amelia replied without hesitation: "If I want to work, I shouldn't be able to work for the time being. Aren't I still going to learn mathematics and physics calculation methods from your professor?"
After being stunned for a moment, Xu Chuan remembered that he had promised her to teach mathematical physics calculation methods before, and smiled: "Yes. But it is best to combine learning mathematical physics calculation methods with practice."
"Well, I will contact some high-energy physics experimental institutions and maybe let you do an internship. Including the exploration and search for dark matter and dark energy after the upgrade there, you can also join in."
Hearing this, Amelia curled up her lips happily: "Then I'll trouble you, Professor."
When she first entered Princeton, her chosen direction was mathematical physics, and her goal was to work in a high-energy physics experimental institution.
And although the path she took in the past two years was slightly deviated, she is now back to her original plan.
It would be great if I could become a formal researcher.
Xu Chuan smiled and said, "It's nothing."
After a pause, he looked at Gu Bing and asked, "What about you? Gu Bing, do you have any ideas?"
This chapter is not over yet, please click on the next page to continue reading! On the opposite side, Gu Bing said with a smile: "Although I really want to continue studying with you like Amelia, but I know my own situation. I can't get to this point."
One step has almost reached the ceiling."
"After graduation, I plan to go out and find a job."
Although I had thought about continuing my studies in mathematics before, my own conditions did not allow it.
After studying with Xu Chuan for two and a half years, he also clearly saw the gap between himself and real geniuses, not to mention comparing with his mentor, but also with Amelia, and even with the new junior brother Cai Peng.
, he is far inferior.
He studied Bloch's conjecture with Amelia, and it was Amelia who contributed more.
If we want to calculate the proportion, his contribution to the entire problem can account for at most one-third.
He knows very well where his limits are, and now he is relieved.
Although compared to most people, he is actually quite a genius.
Being able to solve a world problem before the age of thirty, even though it is a cooperative effort, this qualification can be said to be among the top batch whether it is placed at home or abroad.
Apart from anything else, no university would reject his application, including Princeton.
But people are different and there are differences.
Especially after following Xu Chuan, Gu Bing became deeply aware of this. With such a mentor, the circle of contacts he reached was infinitely expanded.
After realizing this, he chose to leave and find a job.
After all, he is not young anymore. He was almost twenty-six when he applied for a doctorate degree under Xu Chuan's name for in-depth study. Now, two and a half years later, he is almost thirty.
When starting a family and starting a business, these things are already things he needs to consider.
Of course, compared to most people, he is actually luckier.
He knew this himself, so Gu Bing was very grateful for being able to study with Xu Chuan for two and a half years.
...
Hearing Gu Bing's choice, Xu Chuan was not too surprised. He nodded with a smile and said, "That's fine. Is there anywhere you want to go?"
Hearing this, Gu Bing scratched his head shyly and said, "Well, Dean Rong and I had a conversation before. If I graduate from your professorship, he invited me to stay at NTU and become a mathematics professor."
"Compared with other jobs outside, I think campus is more suitable for me. I think the salary conditions offered by NTU are also very good."
"Besides, staying at NTU will be closer to you, professor. Even though I am preparing to leave, I will still continue to study mathematics. If I encounter any problems in the future, I can also talk to you, professor."
Xu Chuan smiled and said: "It's good, as long as you have a choice."
I have to say that NTU still has a vision and knows that its students have a future.
He also supported Gu Bing's choice.
Although he is not as talented as Amelia and others, his ability to cooperate to complete the proof of Bloch's conjecture shows that he still has mathematical abilities and talents.
If you stay at Nanjing University, although the mathematics at Nanjing University is much weaker than that at Shuimu Peking University, the environment is relatively much cleaner, and you can study mathematics with a more pure mind.
Now he is twenty-eight years old, and there is still more than ten years left until he is forty-five. There may still be hope that he can make some breakthroughs in mathematics.
And after proving Bloch's guess, the salary offered to him by Nanda will not be low, which is a good choice.
...
PS: There will be another chapter tonight, please vote for me!