It is a happy event to publish a paper in the Annals of Mathematics, the first of the four major international mathematics journals.

Naming a new mathematical theorem after one's own surname is also a joyous event.

People are in good spirits on happy occasions, and Shen Qi, who is double happy, has been walking differently recently.

A few months ago, Shen Qi was looking for a Faltins paper published in the 80s, but he accidentally discovered the "Muller-Manning theorem" that was not recognized by the IMU.

Shen Qi's original intention was to try something interesting, but he didn't expect to gain a lot.

"The left eyelid jumps, good things are coming~" Shen Qi hummed and strolled around the campus of Pu University.

In a blink of an eye, this year's Thanksgiving is coming, and after Thanksgiving, Christmas is just around the corner.

After Christmas, it is time for Ou Ye and Zhou Yu'an to come to the United States for graduate school.

Professor Müller said that as long as Shen Qi insists on going to the third floor of the mathematics department building every Wednesday for coffee, with the "Müller-Shen theorem" and the paper published in the Annals of Mathematics, Shen Qi will definitely pass the doctoral graduation defense.

In other words, Shen Qi will be able to obtain a PhD from Princeton by drinking coffee until September next year.

The minimum number of PhDs at Princeton is 1 year, which means that it takes at least 1 year from the day you become a PhD student to obtain a PhD♀.

Shen Qi obeyed the rules, as soon as the doctoral student entered the state, you forced me to get a PhD, how inappropriate.

Doctoral students are still at the student stage, so they should study and study.

Once he passes the doctoral defense and gets a PhD, then Shen Qi will have to find a job.

Shen Qi's student days are coming to an end, and there are still 10 months left to complete the calculation.

Shen Qi cherishes the passing student days, and he hopes to do some interesting things in the remaining 10 months of his student days to commemorate the interesting youth that will eventually pass away.

"Strange, very wonderful paper. Professor Elon Linden Strauss met Shen Qi by chance and chatted with Shen Qi.

"Elon, when will the second volume of your number theory method be published? I can't wait to read it. Shen Qi's popularity in the Department of Mathematics is getting better and better, and his status is gradually improving, and he naturally calls the Philippine Prize winner Lyndon Strauss Elon, kind and enthusiastic, like an old friend.

Princeton's community of professors teaches both graduate and undergraduate students, and it is not uncommon to meet a Fields Medal or Nobel Prize winner in an undergraduate classroom or in a corner of the university. Most Fields Medal and Nobel Prize winners don't have a fight, and of course there are big bulls with eccentric tempers.

Whether normal or eccentric, in Princeton, where academics are first, the most effective way to win the respect and attention of professors, students, and even cleaners and librarians is to achieve academic results.

Lyndon Strauss chatted with Shen Qi as he walked: "The work on the second volume of the number theory method has actually just begun, and I am trying to explain the real purpose of number theory, which will take some time. ”

Number theory is simple and complex in most people's minds, delicate but not too practical.

Linden Strauss Zhilin studied number theory from the perspective of application and made outstanding contributions.

The "Lyndon Strauss Formula" explains the measure rigidity of ergodic theory and its application in number theory, for which Lyndon Strauss was awarded the 2010 Fields Medal.

The "Naming Club" is not an organization that actually exists, but it exists in the consciousness of the general public.

Among the great bulls still alive in the Princeton Department of Mathematics such and such theorems, such and such formulas, such and such conjectures, such and such theories, such and such systems, and such and such equations, the highest number of names is 12, and the record is John Milno, who has just retired to live out his old age in Europe.

The record in the history of mathematics is Gauss, and there are as many as 110 theorems and formulas named after "Gauss", including some physical formulas.

Shen Qi became a member of the "Naming Club" because of the "Muller-Shen theorem", and he became more and more familiar with the top professors in the Department of Mathematics.

"Actually, I also want to sort out the research experience of number theory and talk about my shallow understanding of number theory. Shen Qi said.

"Why not, Strange, you're the one who proved Walsh's conjecture. Lyndon Strauss encouraged Shen Qi to publish an academic monograph, adding: "And you have won the IMO gold medal." ”

"Elon, do you also pay attention to IMO?" Shen Qi was a little surprised, the hero didn't mention the Yong back then, it's been more than four years, why do you mention this.

"At the IMO in 1988, I won the bronze medal for Israel. "Lyndon Strauss told a secret.

"Bronze medal" Shen Qi was very surprised, you are only a bronze medal.

"The bronze medal in 1988 is more precious, equivalent to the gold medal of the 21st century. Shen Qi said.

"Perhaps, looking forward to your monograph, strange. "Lyndon Strauss walked to the Spelmann building and went inside, where he had a math theory class today and taught undergraduates.

Shen Qi found a second interesting thing, publishing an academic monograph dedicated to number theory.

The publication of an academic monograph on number theory was a big project, not a dynasty attack, and Shen Qi began to conceive and collect information.

There are too many academic monographs and textbooks related to number theory, and Shen Qi doesn't want to simply write a monograph on number theory, which is not interesting and even a little boring.

"A history of number theory? Yes, I can start from this dimension and write an interesting popular science book on number theory. ”

The development history of this branch of number theory is nearly 2,000 years, from Diophantine to Goldbach, Fermat, Mason, Riemann, and then to modern Hardy, Ramanujan, Selberg, Hua Luogeng, Chen Jingrun, and Wiles and Faltins, who are halfway home, there are too many things to write.

"This popular science monograph on number theory should be seven points about the history of number theory and anecdotes of number theorists, and three points on theoretical knowledge. Shen Qi set the tone for the history of number theory that had not yet been drafted.

Shen Qi's long-term ambition is to write an epic history of mathematics, which could take ten years or more.

Let's start with a part of the history of mathematics, test the water, practice your hands, and write a history of number theory.

Whether it is the history of mathematics or the history of number theory, the author must be a mathematician, not a writer.

Of course, a basic level of text organization is a must, and mathematicians must at least be able to make sentences fluent and words meaningful.

"Therefore, the proof of the 'Müller-Shen proximity theorem' will be accelerated, and after completing this supplementary theorem, I will concentrate on writing the history of number theory. ”

While proving the "Müller-Shen Near-Forcing Theorem", Shen Qi continued to take tutorials to tutor his twelve boys.

In the tutorial class, Shen Qiyi talked about his usual tutoring style, and before discussing the knowledge of mathematics and acupoints, he first asked a question related to the history of mathematics.

Shen Qi wrote some symbols on the blackboard: f(x), Σ, e, i

Shen Qi asked: "Who invented these symbols?" I hope you will think carefully before answering, if you answer wrong, I will be very angry, and will not hesitate to give you a C. ”

f(x) is the function, σ is the sum, e is the natural logarithmic base, and i is the imaginary unit.

Mathematics students deal with these symbols every day, and the boys answer in unison: "Leibniz!"

"Hey, Qi, that's too easy. ”

"It is impossible for anyone not to know that it was Leibniz who invented the notation of functions and sums. ”

"Strange, let's take a few difficult questions, you are the one who proved the 'Mill-Shen theorem'. ”

"You have published papers in the Annals of Mathematics and the Journal of the American Mathematical Society. ”

The boys protested one after another, Shen Qi's mathematics history questions today were too simple, and they asked for more difficulty.