Afterword

This number theory paper, authored by two authors from MIT, describes how they obtained integer points on a class of Elliptic Curve by decomposing algebraic numbers on subrings of a class of completely imaginary quartic fields and combining this with the Dirichlet L-function.

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

The Taniyama-Shimura conjecture proposes a connection between Elliptic Curve and modular forms, that is, a certain connection between Algebraic Geometry and number theory.

As we all know, Wiles and Taylor proved the Taniyama-Shimura conjecture while proving Fermat's Last Theorem.

History always follows this pattern: a great protagonist is always accompanied by a distinctive and capable deputy.

Yutaka Taniyama Goro Shimura by his side, Wiles had Taylor by his side, Watson followed Sherlock Holmes throughout his life, and Wei Yixiao helped Zhang Wuji clear out the monsters.

"And my capable deputy is..." Shen Qi did some quick calculations and then got off-topic... The core content of this paper is to solve Elliptic Curve problems using Number Theory Methods, which is exactly the opposite of the approach taken by Wiles, Yutaka Taniyama, and others.

"It's quite interesting. These two number theorists from MIT are no less skilled than my wife." Shen Qi's wife has been out of the Mathematics Community for some time, while Strong Force new talents are constantly emerging, making the competition quite fierce.

Should we approve the application from our two math colleagues at MIT?

Shen Qi fell into deep thought.

This is not an ordinary journal, but the Annals of Mathematics, one of the Top Four Journals Annals of Mathematics journals.

If Shen Qi makes the decision, then pass!

The two authors must be thrilled.

Ultimately, Shen Qi decided to approve the paper because the two MIT authors did indeed write a good one.

This paper also inspired Shen Qi. If Wiles's use of Elliptic Curve to solve Fermat's Last Theorem was a forward operation, then the two MIT authors used a reverse operation in this paper.

The conclusion is actually quite ordinary; it simply proves the integer points of a class of Elliptic Curve.

Shen Qi was interested in this reverse processing method.

"My review comments are attached. Overall, there are no problems, and it can be approved. If we make some improvements and incorporate Group Theory, then that will involve another issue... the BSD Conjecture." Shen Qi communicated with the editor-in-chief of the <Annals of Mathematics> in an email.

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

Shen Qi: "This can't be considered a thesis; at most, it's just a book review, and it won't exceed two pages."

Editor-in-Chief: "Your reading notes also possess high academic value."

Shen Qi hasn't submitted articles to the Annals of Mathematics or other mathematics journals for many years; his current approach is to publish monographs.

Doing scientific research is also a learning process. You can learn as long as you live, and Shen Qi has never given up learning.

During his studies, Shen Qi gained some insights, wrote a reflection, and it was accepted by a prestigious mathematics journal.

Unable to refuse the editor-in-chief's invitation to write a book review for the Annals of Mathematics, Shen Qi Shen Qi. He figured writing two pages wouldn't take much time, and he finished it in an hour.

After writing his reflections and formatting them as a paper, Shen Qi skipped the submission system and sent them directly to the email address of the editor-in-chief of the <Annals of Mathematics>.

This essay, written by only Shen Qi, is a privilege reserved for top-tier authors; it can't carry others along.

The second paper that Shen Qi needed to review came from the PRL editorial office. It was a Condensed Matter Physics paper with a diverse group of six authors, including those from UCLA, the University of Tokyo, and Imperial College London. It seemed to be a multinational collaborative project spanning three continents: America, Europe, and Asia. The corresponding author was from UCLA and his name was Li-Li, quite an unusual name.

This Condensed Matter Physics paper studies the structure, mechanical and thermodynamic properties of condensed matter, which is different from the research direction of Shen Qi and his FASTER Project Team, but somewhat similar to the research field when Shen Qi worked alone in his early days.

The FASTER Project Team's current work can be summarized in one sentence: developing new materials. This is highly application-oriented, and the benefits brought by the research results are very attractive.

To build National Key Laboratory, the personnel cannot consist entirely of laboratory technicians; there must be a few scholars who are skilled in academic theoretical research.

"This Condensed Matter Physics paper sent by PRL is really well written." Shen Qi quickly browsed through the paper. His first impression was that the paper only included a few test result images, and the rest was theoretical analysis.

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

"It's quite advanced." That was Shen Qi's conclusion after carefully reading the paper.

Undeniably, researchers who focus purely on applied research tend to reap greater financial rewards.

However, in terms of academic standing, scholars who focus on theoretical research are considered more prestigious.

Without comparison, there is no appreciation; there is no shortage of experts in Condensed Matter Physics internationally.

Including the Deputy Leader Tang Yuan, no one in the FASTER Project Team can truly settle down to do academic theoretical research.

It is easy to go from frugality to extravagance, but difficult to go from extravagance to frugality.

Once you've tasted success, it's very difficult to go back to focusing on theory.

Shen Qi was interested in the theoretical research of Condensed Matter Physics, and he was determined not to let his center become an institution that only produced applied products.

Shen Qi replied to the PRL editorial department, "Approved."

Although the paper passed review, Shen Qi still contacted the editor-in-chief of PRL via email to offer some suggestions. "Changes in the system's confinement effects caused significant changes in the system's morphology, such as the transformation from a three-layered columnar phase to a symmetrical two-layered columnar phase, or from a horizontally layered phase to a vertically layered phase. The system's entropy energy plays a very important role in the final morphology... Of course, this paper is already very good, and I hope my suggestions can be helpful for their next similar project."

The editor-in-chief of PRL replied to the email, "Professor Shen, could we compile your suggestion into a commentary article and publish it in PRL?"

"Okay." Shen Qi agreed. He reviewed two papers and wrote two reading notes, and to his surprise, the reading notes were quite well received.

The * Annals of Mathematics * is published quarterly, while PRL is a weekly publication with a faster publication schedule.

The Condensed Matter Physics paper reviewed by Shen Qi was quickly featured in the latest issue of PRL.

His Condensed Matter Physics review article was also published in this PRL, though it was only one page long.

System: "New achievement! The host has published a paper in the physics journal * Physical Review Letters *. The base reward is 50,000 Academic Points, multiplied by the journal's impact factor of 11.382, resulting in a final reward of 569,100 Academic Points. Remaining balance: 54,261,588 Academic Points. Please confirm."

"There are rewards for reading responses too, that's great." Shen Qi made this unexpected discovery while reviewing manuscripts.