In this number theory paper, the two authors, both from MIT, obtained the integer points of a class of elliptic curves by decomposing algebraic numbers on subrings of a class of fully imaginary quadratic fields, combined with the Dirichlet L function.

This reminded Shen Qi of Yutaka Taniyama and Shimura Wuyang back then, as well as Wiles and Taylor.

The Taniyama-Shimura conjecture proposes a connection between elliptic curves and modular forms, that is, some connection between algebraic geometry and number theory.

The rest of the story is known to everyone, Wiles and Taylor proved the Taniyama-Shimura conjecture in the process of proving Fermat's theorem.

History is always like this, a powerful protagonist must be accompanied by a deputy with a distinct personality and capable.

Gu Shanfeng has Zhicun Wuyang by his side, Wiles has Taylor by his side, it is Watson who has followed Sherlock Holmes all his life, and it is Wei Yixiao who helps Zhang Wuji clear the little monster.

"And the capable deputy next to me is ......" Shen Qi pinched his fingers and pulled away...... The core content of this paper is to solve the elliptic curve problem by using number theory methods, which is exactly the opposite of Wiles and Taniyama Yu's thinking.

"It's still a little interesting, these two MIT number theorists are not as good as my wife. "Shen Qi's wife has faded out of the mathematics world for a while, and this powerful newcomer is constantly emerging, and the competition is still quite fierce.

What about the two math colleagues at MIT or not?

Shen Qi fell into deep thought.

This is not an ordinary journal, but the Annals of Mathematics, one of the four major journals of mathematics.

If Shen Qi makes a decision, it's over!

The two authors must have been in for a treat.

In the end, Shen Qi decided to pass the review, because the two MIT authors did write well.

If Wiles's use of the elliptic curve method to solve the number theory problem Fermat's theorem was a forward operation, then the two MIT authors used the reverse operation in this paper.

The conclusion is actually unremarkable, proving that the integer points of a class of elliptic curves are only.

Shen Qi is interested in this reverse processing method.

"Please see the attachment for my review opinions, and it is generally no problem and can be reviewed. If it is improved and added to the group theory, then this is a different issue...... BSD conjecture. Shen Qi communicated with the editor-in-chief of the Annals of Mathematics in an email.

Editor-in-Chief: "Qi, your idea can be compiled into an article and published in our journal. ”

Shen Qi: "This can't be regarded as a thesis, at most it can only be regarded as a post-reading feeling, and the length will not exceed 2 pages." ”

Editor-in-Chief: "Your impression after reading it also has high academic value. ”

Shen Qi has not submitted to the Annals of Mathematics or other mathematical journals for many years, and his current practice is to publish monographs.

Doing scientific research is actually a learning process, living to learn from the past, Shen Qi has never given up learning.

In the process of learning, Shen Qi wrote an article after reading, and also received the manuscript in a well-known mathematics journal.

The editor-in-chief of the "Annals of Mathematics" asked Shen Qi to feel the warmth after reading it, Shen Qi agreed, just write it, write it, write two pages after reading it It doesn't take much time, and it can be done in an hour.

After writing the impression after reading and sorting it into a paper format, Shen Qi did not go through any submission system, and sent it directly to the email address of the editor-in-chief of the Annals of Mathematics.

The author of this post-reading essay is only Shen Qi, and this kind of article can't fly with others, and it belongs to the exclusive treatment of the big guy.

The second paper that needs to be reviewed by Shen Qi is from the editorial department of PRL, which is a condensed matter physics paper, with a complex composition of six authors, including UCLA, the University of Tokyo, and Imperial College London. The corresponding author is from UCLA, and his name is Li-Li, which is a strange name.

This paper on condensed matter physics studies the structure, mechanics, and thermodynamic properties of condensed matter, which is different from the research direction of Shen Qi's FASTER project team, and somewhat similar to the research field of Shen Qi when he was working alone in the early days.

The work that the FASTER project team is doing now can be summed up in one sentence is the development of new materials. This is very application-oriented, and the dividends brought by the research results are also very attractive.

To build a national key laboratory, the staff composition cannot be all experimenters, but there must be a few scholars who are good at academic theoretical research.

"This paper on condensed matter physics sent by PRL is really well written. Shen Qi quickly skimmed through the paper, and his first feeling was that the paper only attached a small number of pictures of the test results, and the rest was theoretical analysis.

This multinational project team has used the self-consistent field theory to study the microphase structure defects of condensed substances, which has certain theoretical guiding significance for the preparation of photonic crystals, biomedicine, and functional nanomaterials.

"It's relatively high-end. This is Shen Qi's conclusion after carefully reading the paper.

It is undeniable that researchers who do purely applications will have a little more material gains.

However, in terms of academic status, theoretical research scholars are more lofty.

There is no harm without contrast, and there is no shortage of experts in the international condensed matter physics team.

Including Tang Yuan, the deputy team leader, no one in the FASTER project team can really calm down and do academic theoretical research.

It is easy to go from thrift to luxury, and it is difficult to go from luxury to thrift.

It's hard to go back to theory after you've tasted the sweetness.

In other words, Shen Qi is interested in the research direction of condensed matter physics theory, and he must not let his center become an institution that only does applied products.

Shen Qi replied to the editorial department of PRL: "Passed the review. ”

Although he passed the review, Shen Qi still contacted the editor-in-chief of PRL by email and made some suggestions for this paper: "The change of the limited effect of the system has caused a significant change in the physiognomy of the system, such as the transition from a three-layer columnar phase to a symmetrical double-layer columnar phase, or from a horizontal layered phase to a vertical layered phase, and the entropy energy of the system plays a very important role in the final morphology...... Of course, this paper is already very good, and I hope that my suggestion will be useful for their next similar project. ”

The editor-in-chief of PRL replied by email: "Professor Shen, can we compile your suggestion into a review article and publish it in PRL?"

"Yes. Shen Qi agreed, he reviewed two papers and wrote two after-reading feelings, but he didn't expect them to be quite popular.

The Annals of Mathematics is published once a quarter, and PRL is a weekly magazine that is published quickly.

The condensed matter physics paper reviewed by Shen Qi was soon reported in the latest issue of PRL.

His review of condensed matter physics was also published in this PRL and is only one page.

The host publishes a paper in the physics journal Physical Review Letters, and the basic reward is 50,000 points, multiplied by the journal's IF value of 11.382, and the final reward is 569,100 points. The balance 54261588 points for Xueba, please confirm with the host. ”

"There's also a reward for reading it, which is really good. Shen Qi made an unexpected discovery in the review.