Super Doctor of the Universe

The subject of mathematics is different from other subjects because the categories and knowledge involved are too vast, and it requires a process of continuous accumulation and learning to reach a peak.

Ordinary young people in their twenties, even if they are talented enough, are unlikely to achieve much because the study time is too short and the amount of knowledge absorbed is not enough.

As far as the mathematics community is concerned, the convention in the international mathematics community is that mathematicians under the age of forty are called young mathematicians, and they are called young. This is internationally recognized.

Of course, this only applies to most mathematicians.

Most people who can become mathematicians are academic masters, but above the academic masters, there is obviously the god of learning. In this world of Big Bang Theory, Sheldon's IQ is the top, and he is the god of learning.

And Peggy, who is comparable to him in the setting, is obviously also a master of learning. What ordinary academic masters can understand after months of study, she may understand in a few days.

Therefore, her knowledge reserve is no worse than that of many forty-year-old mathematicians. The only difference is experience and experience.

Now that she got the correct ideas and methods from Link, with her computing power and knowledge base, she soon started to have some ideas.

Link was here watching Peggy's calculations. At first he could follow what she wrote and think, but gradually he found that he was increasingly unable to keep up with Peggy's calculations and ideas.

Knowing that this is a gap in IQ, even though he has just raised his intelligence to 18 points, he is still far behind Peggy, which makes him much worse than Peggy in mental arithmetic.

What's more, the improvement of intelligence does not mean the improvement of knowledge reserve. Link's intelligence has only improved. There is also a big gap in relevant knowledge reserve compared with Peggy. Some of the methods and theorems cited by Peggy have only been slightly touched by Link before. , not skilled.

Of course, Fermat's conjecture is not so simple to prove. In his previous life, Link had seen many simple proof methods circulated on the Internet. There were even some proofs that could be proved using only the knowledge of the second grade of junior high school, that is, the Pythagorean theorem. .

But after he really started studying mathematics, Link knew that those proof methods seemed rigorous, but were actually full of loopholes.

Otherwise, after more than three hundred years, wouldn't anyone have thought of a similar method? Are these the only smart people in the world? Were all the previous mathematicians idiots?

And even now, with the correct ideas and methods, it is not easy to complete this proof overnight. Just when Peggy was forced by Linda to pull her down to the restaurant to finish her meal, she said to Link while eating:

"The method you proposed is indeed very good. If everything goes well, the relevant proof can be completed in six or seven months. If it can be proved, we may even win the Fields Medal!"

Link nodded and said: "I'm also looking forward to that day. I thought that when the awards were given, the old men in the audience would be so ashamed that they would want to commit suicide when they saw a teenage girl accepting the award on the stage! "

"Hehehe, indeed, it's interesting to think about it." Peggy said with a smile: "Maybe I will become the youngest Fields Medal winner in history."

The Fields Medal is an international mathematics award established at the request of Canadian mathematician John Charles Fields. It was first awarded in 1936. Because the Nobel Prize does not include a mathematics prize, the Fields Medal is often regarded as the Nobel Prize in mathematics.

It is awarded once every four years to two to four people each time. This year it is the fourteenth time it has been awarded.

The professor who solved Fermat's conjecture in his previous life won the Fields Medal for it. Link believes that if he and Peggy solved Fermat's conjecture in this world, the only thing that might prevent him and Peggy from winning the prize is age and education.

During the following summer vacation, apart from exercising as planned, Link spent the rest of his time working with Peggy on solving Fermat's conjecture.

Of course, although Link wanted to say that he played a huge role in the subsequent proof process, in fact his contribution may not even be 20% of Peggy's.

In the process of unraveling, the two people will inevitably encounter various difficulties, so they need to look up information.

In the end, the two of them even found Dr. Sturges for help and asked him to help him apply for a library card at the nearest library of the University of Texas at Austin. They waited until Caltech started school again before they hurriedly packed up their materials and sat down. airplane.

It lasted until December, at the end of the first semester of the new year. Link and Peggy wrote the completed proof into a rigorous thesis and handed it over to the tutor in charge of their thesis.

Their tutor is Professor Diane Adler. She is also a talented mathematician and a relatively rare female mathematician. She is only 23 years old, but she has already made great achievements in the field of mathematics and has been awarded the title of Assistant Professor. position.

After spending several days carefully browsing the 130-page certificate of Link and the two people, she called the two people to the office, looked at them with extremely strange eyes, and then said:

"Although I have only roughly calculated the proof process, and many of the details have not been carefully verified, and even the correctness of your paper still needs to be rigorously demonstrated, but what I want to say is,

If you are proven right in the end, this may be the greatest mathematical discovery of the 20th century. With this paper, not to mention getting a bachelor's degree, even a doctorate will not be a problem, and any university will even be willing to offer you a professorship. "

According to the academic system of the United States, there are bachelor's, master's, and doctorate degrees. The doctorate degree is the highest degree, and the professor is a teaching position.

When a doctor applies to take students, the school will select them as assistant professors. The number of doctors has been increasing, while the position of assistant professors has remained basically constant. Therefore, it is considered a promotion and salary increase, and generally requires a probationary inspection period of 3 to 7 years.

After the assistant professor has passed the inspection period and performed well, the school will hire them as tenured professors, and then smoothly promoted to associate professors.

Only after achieving outstanding academic achievements will an associate professor be promoted to a full professor!

Although the professor's words are exaggerated, Link is not arrogant. He smiled and said, "Thank you for the compliment. Peggy and I have mailed this paper to several well-known academic journals. I believe it will be published soon.

Whether this method can perfectly prove Fermat's conjecture will have to wait until the proof process is verified. Now we just want this paper to allow us to successfully obtain a bachelor's degree. ”

The outstanding achievement of solving Fermat's conjecture is indeed enough to make a doctor directly become a full professor, but they are still students.

Even though the situation of seniority in the United States is far less than that on the other side of the Pacific Ocean, many things still need to be done step by step, especially the academic world is still very rigorous.

Link estimated that at most he would give himself and Peggy a channel to directly study for a doctorate, and at the same time, it would be easier for the two of them to obtain a formal doctorate in the future, and all aspects would give the green light, allowing the two to obtain a doctorate within a few years.

Both Link and Peggy are very confident that their accumulated knowledge in mathematics is enough to obtain a doctorate.

This is actually the benefit of super high IQ. The knowledge that ordinary people need more than ten years to learn can now be mastered in one or two years. After the continuous improvement of intelligence, Link can understand the gap more clearly through comparison.

When the time comes, because of the academic status and knowledge gap between the two sides, it is very likely that it will be unclear, so it is safer to take it out in advance.

At the same time, not long after Link completed the thesis, a new space-time mission appeared, and Link had to start preparing for the mission.