Efficient

Shen Qi left a message in the guestbook. "Tranquility yields transcendence."

Director Wu remarked with deep feeling. "Tranquility yields transcendence achievements. Only those who can endure loneliness can accomplish something and realize their lofty ambitions."

"Beautiful calligraphy, beautiful meaning," Chairman Kuang praised.

Business people value etiquette. Chairman Kuang presented a letter of appointment, offering Shen Qi an annual salary of 2 million RMB to serve as a Senior Academic Research Advisor at Morning Star Mathematics Center. This salary was slightly higher than Shen Qi's salary as a professor at Princeton.

"One should not accept rewards without merit, for one would feel ashamed to receive them." Shen Qi believed this was inappropriate and worthy of discussion.

"Professor Shen, I know that great mathematicians like you have always regarded money as dirt, but I am truly sincere. Our center is eager to receive your guidance." Chairman Kuang held Shen Qi's hand and said from the bottom of his heart, without the slightest hint of pretense.

"It's still not appropriate, it's still not appropriate." Shen Qi waved his hands repeatedly. He had just been hired as Visiting Professor at Yenching University, and now his Hong Kong boss was offering him a high salary to be a consultant. He was reaping both fame and fortune, which would easily attract gossip.

"Professor Shen, this remuneration is set according to international standards. Professor Qiu enjoys the same treatment in our center. If Professor Shen feels it is inappropriate, then... sigh." Chairman Kuang sighed, looking troubled and aggrieved.

Professor Qiu Chengtong has been a prominent figure in the Mathematics Community for decades, holding more than a dozen positions and titles, one of which is the Director of the Academic Committee of the Morning Star Mathematics Center.

Unfortunately, Shen Qi did not run into Mr. Qiu on his return trip, as Mr. Qiu was giving a lecture in Hong Kong.

"Oh, I see." Shen Qi learned from Chairman Kuang that Mr. Qiu was already enjoying the international standard treatment at the Morning Star Mathematics Center.

"Look, you and Mr. Qiu are both Fields Medal winners. I hope Professor Shen can give us a chance." Seeing that Shen Qi's attitude had softened, Chairman Kuang quickly pressed his advantage.

Despite his young age, Chairman Kuang is very good at interpersonal relationships and speaks very pleasingly. He must have exceptional abilities to have expanded the family business so much.

Unable to refuse such a kind offer, Shen Qi had no choice but to accept the consulting job with an annual salary of 2 million yuan. However, he made a condition: he would only serve as a consultant for Morning Star Mathematics Center for a maximum of two years.

Two years it is, Chairman Kuang is all smiles, and everyone is happy.

Next was Shen Qi's lecture. There were about twenty people in the lecture hall. The oldest was Director Wu, who was over fifty years old, and the rest were young Mathematical Research under forty years old.

Chairman Kuang was a businessman; he couldn't understand a real math lecture. After arranging everything, Chairman Kuang left to discuss his big business deal.

The Princeton Institute for Advanced Study loves to poach talent from all over the world, especially renowned senior scholars. The Princeton Institute for Advanced Study is more like a research institute for retired officials, a council of elders, or a symposium of senior members.

The Morning Star Mathematics Center emulates the independent academic research model of Princeton Institute for Advanced Study, but boldly employs newcomers. The center's educational philosophy is. "I cultivate, I create, I speak for myself."

Shen Qi strongly agrees with the Morning Star Mathematics Center' philosophy of being rooted in the local community and cultivating young Chinese mathematicians. He believes that bringing in foreign experts is not a long-term solution, and even top international experts cannot be recruited.

Shen Qi and Qiu Chengtong are nominal experts hired by the center and do not have to work nine-to-five.

If they were asked to do full-time research at the Morning Star Mathematics Center, the two Fields Medal laureates would definitely not agree.

Since its establishment in 1996, the Morning Star Mathematics Center has selected six to nine important research topics each year to tackle. These are generally popular and promising research directions in the international Mathematics Community.

While receiving a salary to act as a consultant and help others solve technical problems, Shen Qi suggested. "Director Wu, colleagues, my time back in China this time is limited, so I think we should skip the formulaic lectures. Those are for undergraduates and graduate students. Why don't we directly address the practical problems facing the center?"

Professor Shen is really efficient... After discussing it with the young researchers, Director Wu agreed, "Okay, let's do it this way. Please ask Professor Shen to help us solve our problems."

"Xiao Tao, tell us about your research topic first," Director Wu instructed a young man in his thirties.

"Okay." Xiao Tao, wearing a plaid shirt, was unremarkable in appearance but was a graduate of the Mathematics Department of Fudan University with a PhD in Mathematics.

Holding a page-turner, Xiao Tao explained his PowerPoint presentation, "Professor Shen, your time is precious, so I'll keep it brief. My topic, through Inclusion-Exclusion Principle techniques and Series Rearrangement methods, aims to derive transformation formulas for two fundamental Hypergeometric Series. This is very valuable research, dating back to the Gould -Xu inversion formula jointly published by Mr. Xu Lizhi and Mr. Gould, which is this formula..."

Although Xiao Tao's presentation was somewhat dry, Shen Qi listened attentively and carefully, examining Xiao Tao's PowerPoint slides.

This is a topic involving Infinite Series. Xiao Tao innovated upon the classic theory of Xu Lizhi, a famous Chinese mathematician, and made some research progress, but also encountered some insurmountable obstacles.

This project, which started last year and continues into this year, is still unfinished. Xiao Tao is anxious, Director Wu is worried, and even Mr. Qiu, the Director of the Academic Committee, cannot solve the problem.

Mr. Qiu's area of expertise is Differential Geometry and Partial Differential Equations. His representative work is the paper "The Role of Partial Differential Equations in Differential Geometry," published when he was 29 years old.

Four years after this article was published, Mr. Qiu, then 33 years old, won the Fields Medal.

Even within mathematics, there's a saying that different fields are like different worlds. In the 21st century, it's rare to find an all-around mathematician who is proficient in everything. Mr. Qiu couldn't handle Xiao Tao's topic on Infinite Series.

"... Therefore, our difficulty lies in our inability to prove the Rogers- Ramanujan identity for this limit and special cases."

Xiao Tao was somewhat anxious. Although the center hadn't set any rigid research targets for them, who in mathematics wouldn't want to achieve some small, impressive results?

Shen Qi stood up and walked to the blackboard. "Tao Gong, sit down first. Don't be anxious or flustered. Although this topic is difficult, there is a special technique that can be used, namely the Second Kind Reciprocal Sequence Relation."

Xiao Tao stared at each other, Director Wu fell into deep thought, and the others looked at each other in bewilderment.

An awkward atmosphere filled the lecture hall. Director Wu and his researchers hesitated to speak, but finally, Xiao Tao mustered his courage and asked, "I may be knowledgeable enough to use the First Kind Reciprocal Sequence Relation, but Professor Shen, in which document or paper is the Second Kind Reciprocal Sequence Relation you mentioned recorded? I've never heard of a second type of relation."

"Actually, I'm just taking this opportunity to try and prove the Second Kind Reciprocal Sequence Relation. If there are any errors in my proof, please feel free to point them out." Shen Qi picked up the chalk and began writing on the blackboard.

Thump!

The researchers collapsed to the ground, completely stunned.

He stubbornly got up, and Director Wu and the researchers quietly watched Shen Qi's proof.