Chapter 11 Dissertation
"Congratulations, junior!" As soon as the two of them came out of Professor Hu's office, Hao Peng congratulated Junxin.
"Senior brother has won the award, fortunately, Professor Hu can tolerate my nonsense, so that I have time to be able to put forward my own opinions, junior brother, I am still far behind!" Jun Xin said humbly, this was not his own achievement, but just a final deduction based on Professor Faltins' results. So Junxin doesn't have anything to be proud of.
As a mathematician, Hao Peng has always believed that his intuition is very keen, so he can be very keen to find that Jun Xin is indeed not lying, and he even has a high look at Jun Xin in his heart.
"It's a pity that the direction of my research is the research direction of pure number theory, and your proof involves too many things, which has exceeded my knowledge reserves, and it seems that I have to work harder."
Junxin didn't speak, and he really couldn't say anything about it.
"By the way, Junxin, how did you learn math?" Hao Peng is also a genius in mathematics, but compared with Junxin, he seems to be nothing in front of the proof of Modell's conjecture, which makes his self-confidence suffer a great blow. You know, Faltins won the Fields Medal, the highest award in mathematics, for proving the Modle conjecture.
Junxin glanced at his senior and found that he really had the heart to ask for advice instead of having other ideas.
After thinking about it, Junxin said: "To be honest, there is nothing special, but I prefer to read some history of mathematics, and then look at their achievements according to the history of mathematics, in fact, the focus is not on their achievements, but on their mathematical ideas, which often inspire and help me to think about and solve some problems." ”
"Really?" Hao Peng was a little incredible, he also thought that Jun Xin would say that he had referred to a lot of literature and mastered a lot of advanced mathematical analysis methods, who knew that it would be such an answer.
Junxin did not answer, this question he had encountered a long time ago, and he had been confused for a while, but he was more fortunate that his mentor, Professor Witten, found out about this problem and recommended him to Professor Andrew Wiles, one of the most famous mathematicians in the world at that time. The above passage was once said to him by Professor Wiles, and in fact it had a significant impact on him. For a time, he studied the ideas of ancient mathematicians.
With incomprehension and doubts, as well as some attention, Hao Peng left, and he still had to help Junxin solve his worries, which was also explained by Professor Hu. In addition, the sophomore year has begun, and he needs to go back to the classroom to finish college.
Junxin also cleaned up his mood and prepared his math paper.
The general mathematics paper can be divided into four sections, the first part is the preface, first briefly explain what you write in this article, and then talk about the background of the problem (for example, to what extent Frey has studied this problem, what views Yau Chengtong has, and what problems have not been solved), and then what problems you have solved.
The second section is the introduction, which generally introduces the tools you will use, such as definitions and axioms.
The third part is your proof or solution process, the essence of the whole paper is here, it is required to be clear and logical, and there must be no loopholes.
The last part is what is the use of the results you have made, and this part can be written or not, because at this stage of mathematical research, many mathematicians are doing research because of interest, and they don't know that what they have researched is useful. It is more likely that the conclusions of this paper may be of little use, but the process of solving the problem can lead to great scientific advances.
A few decades later, a popular science writer once lamented that among the major natural disciplines known, mathematics was 500 years ahead of human development; Physics is three hundred years ahead of mankind; Even chemistry, which is closely related to human life, is nearly a hundred years ahead of mankind, and among all natural sciences, only biology is truly in the same era as human development. Although this statement is an exaggeration, it basically states a timeline for human development of the cognitive world, and mathematics is indeed many years ahead of human cognition.
However, despite this, the development of mathematics has never stopped, so the challenge of mathematical problems has always been considered a challenge to the limits of human intelligence.
The writing speed of the paper is very fast, after all, I have completed all the mathematical derivation, so as long as I sort out some formulas and axioms in the mathematical derivation process, and then explain some subsequent applications, the whole paper is completed.
Today's computers are not as popular as those of later generations, so all the papers are handwritten, but Junxin wants to send them to foreign journals, so he translates the papers in English, and it takes a little longer.
Because of Professor Hu's greeting, Junxin has used his rare free time to exchange and learn with Professor Hu and grasp the cutting-edge news of mathematical development, while re-transcribing the paper in English. In addition, I had time to take the approval slip given by Professor Hu and go to the library to consult some limited materials. Life is very sufficient, although it is often envied and hated by the other three people in the dormitory, but it is also leisurely.
On this day, Junxin finished writing the paper, and came to Professor Hu's office with the draft of the paper.
"Jun is here?" Professor Hu greeted Junxin very warmly, "Is the paper finished?" ”
"Well, it's finally finished, one in Chinese, one in English."
"Good, good, good! Show me. Professor Hu was overjoyed and hurriedly asked Junxin for a paper.
Jun Xin handed over his two manuscripts as he said, but the strange thing is that although Professor Hu was excited, he did not open them immediately, but after a few clicks, he put the papers in a briefcase that he opened on the side. Then he beckoned Junxin to prepare to leave.
"Professor, where are we going?" Junxin wondered.
"I will take you to meet someone today, if your paper has his affirmation and opinions, maybe it can be published in a better journal with his recommendation, so that it can also expand the influence of our Mizuki University. The current Shuimu Department of Mathematics is far inferior to Peking University and Fudan University. "The adjustment of faculties, although it is to concentrate the strength of various disciplines, has also had a significant impact on certain disciplines in a school.
"Is it Professor Hua Luogeng?" Junxin quickly sifted through the information in his mind and quickly locked the information.
"Well, Professor Hua has just finished a seven-month visit to Europe, and at this time, his influence is still there, and at the invitation of our Mizuki University, he is going to give a lecture to our new students. I just arrived in Beijing yesterday, and Professor Hua is almost there, so you can accompany me to greet you! ”
"Good!" For this god of Chinese mathematics, Junxin has always been in a mood of reverence, in his previous life because after he was born, Professor Hua has passed away, and now he has the opportunity to meet the object of his reverence, Junxin is naturally excited.