Cooperation
Guy's conjecture states that any even number can be expressed as the difference between two prime numbers.
Proving Goldbach Conjecture makes it easy to prove Guy's conjecture.
Therefore, the key is still the proof of the Goldbach Conjecture.
Shen Qi completed the work and said, "Professor Guy, I have read your masterpiece, 'Unsolved Problems in Number Theory,' many times. You have given me some inspiration."
"You're too modest, Shen," Guy said, feeling embarrassed.
Afterwards, the two teams had dinner together. Guy expressed his hope that his Victoria team could form a friendly relationship with Shen Qi's Princeton team, and that they could collaborate on some research projects if the opportunity arose.
Shen Qi agreed to the proposal, and the two sides reached a cooperation agreement in a harmonious and amicable atmosphere.
Guy Sr. had many students, and his son Little Guy. was a professor at the Victoria University. Both of Guy Sr.'s students were PhDs.
Shen Qi's students have not yet reached their full potential, and this is an area he needs to focus on for the foreseeable future.
System: "New achievement! The host has proven Goldbach Conjecture, Polignac's conjecture, the Twin Prime Conjecture, and Guy's conjecture. The basic rewards are 1 million, 500,000, 500,000, and 500,000 Academic Points respectively. Multiplied by the Mathematical Talent 2.0, the final reward is 5 million Academic Points."
"The host has published a paper in the <Annals of Mathematics>, earning a base reward of 50,000 Academic Points. Multiplied by the host's primary mathematical talent of 2.0 and the journal's latest impact factor of 4.012, the final reward is 401,200 Academic Points. The remaining Academic Points are 37,265,492. Please confirm."
Having gained a lot, Shen Qi used a small amount of his academic points to review physics and chemistry.
To advance from Physics Level 10 to Level 11, you need 1.2 million Academic Points.
To advance from Chemistry Level 6 to Level 7, you need 150,000 Academic Points.
With a background in Mathematics (Level 13), Physics (Level 11), and Chemistry (Level 7), Shen Qi pondered deeply for a week, consulted a large number of literatures in Condensed Matter Physics and topology, and finally completed the final push on "Research on Defect Topology Based on Spherical Stable Homotopy Group".
This paper on Condensed Matter Physics took Shen Qi more than half a year to complete; it was his official declaration of intent to enter the world of physics.
Shen Qi sent an email to Edward Witten:
"Edward, I clearly feel that I've hit a bottleneck in mathematics; some key problems remain unsolved."
"I am eager to spend some time studying intensively at Institute for Advanced Study and seek new breakthroughs."
"I love physics just as much as I love mathematics."
"As we agreed before, if I complete a physics paper equivalent to a master's thesis, I will have the opportunity to become your student, enter the Physics Department of the Institute for Advanced Study, and begin my doctoral studies in physics."
"I've finished writing the paper; please see the attachment."
Looking forward to your reply.
After sending the email, Shen Qi summoned Yu Lei and Ralph to his office. "This is your second semester of graduate studies. Typically, Princeton graduate students need to produce some decent grades at this stage. I happen to have two research projects on hand, and the materials are here. Take a look."
Yu Lei and Ralph each had a set of materials and studied them intently.
The first research topic, titled "Research on Multivariable Holomorphic Functions," outlined a framework by Shen Qi. The gist of it was to demonstrate how, by generalizing the lemmas of a single complex variable to Complex Analysis, a class of normal criterions related to the values of partial derivatives of homomorphic functions of several complex variables could be proven.
"Yu Lei, your major is Function Theory, and this topic is relevant to your field. I'm assigning it to you." Shen Qi began to give instructions.
"Okay, boss." Yu Lei accepted the task, appearing confident on the surface but feeling a little uneasy inside.
In the United States, professors are more like bosses. The university provides them with certain research tasks and funding support, but more often than not, they have to find research projects and funding on their own and bear the profits and losses themselves.
"Yu Lei, while you're researching this topic, contact Professor Little Guy. at Victoria University as soon as possible. It's a joint project initiated by Victoria University, and they've invited us to participate," Shen Qi explained the background of the research project.
Guy Sr. of Victoria University is semi-retired, and his mathematical career has been passed on to his son, Little Guy.
Little Guy's team has a broad research scope, and in addition to number theory, they have also made achievements in Function Theory, Ordinary Differential Equations, and Partial Differential Equations.
Little Guy diligently followed his father's instructions and actively promoted academic collaboration with Shen Qi Team.
Shen Qi thought this was a good opportunity. First, it would give Yu Lei valuable experience, and second, it would help maintain the international positioning of his team and reduce the risk of academic inbreeding.
More than one university or research institution, and more than one team, have sought cooperation with Shen Qi.
Shen Qi carefully selected two projects from more than a dozen collaborative projects, assigning one to Yu Lei for follow-up and the other to Ralph.
Ralph's research project is "Study on Linear Lie Algebra and Their Supergroups".
Ralph's main focus is algebra, including important topics such as Lie Algebra, Lie groups, and Group Theory.
Also an inter-institutional collaborative project, Ralph will be working with a team from Yale Ivy League partner school, to advance this project.
"Good luck to you both. You represent Princeton, so don't let us down," Shen Qi said. "These two projects are challenging, but don't be afraid. You have me behind you, and the entire Princeton."
"Professor Shen, I originally thought you would design a project for us to complete yourself, but I didn't expect my first project to be a collaboration with Yale," Ralph said.
"Looking down on Yale?" Shen Qi asked.
Ralph: "No, no, Yale is a good university."
Shen Qi explained, "With your current skill level, you two are incapable of completing the project I personally designed; you probably wouldn't even be able to understand it. Therefore, advancing the task I just assigned is your primary task at this stage."
"OK, I understand." Ralph was speechless and obediently did as Shen Qi instructed.
After assigning math tasks, Shen Qi gave himself a few days off. He contacted his Mom on WeChat to ask her for soup-making tips.
The clever mathematician quickly learned how to make soup. Shen Qi bought pork ribs, corn, and carrots. He cut the pork ribs into sections, blanched them in boiling water to remove the fishy smell, and put them in the rice cooker with the corn and carrots. He added water and set it to the soup cooking mode.
A pot of soup was ready. With a little salt added, Shen Qi and Ou Ye enjoyed a fusion of Chinese and Western cuisine at home, accompanied by pizza.
"Oh, it's delicious." Ou Ye, who doesn't have a big appetite, drank several bowls of the soup that Shen Qi had cooked.
"Making soup in America isn't difficult, the difficulty lies in finding the ingredients. There are only a few kinds of soups to make. I've been in America for so long and I've never seen a place that sells pig's trotters. Americans don't eat pig's trotters. After slaughtering a pig, they just throw the trotters away as garbage. Lotus root is even harder to find. We can only drink pork rib soup or something like that." Shen Qi had just finished a WeChat chat with his Mom. He had ideas but found it difficult to put them into practice.
Ou Ye checked her phone. "Lotus root and pig's trotter soup, for breast enhancement... You, you, you still think my breasts are too small!"
Then Ou Ye stopped letting Shen Qi make soup and started teaching herself how to make soup.
When a man and woman live together, the man can't always be the one cooking and making soup. Ou Ye, who comes from a wealthy family, learned to do housework as much as she could, as long as her physical condition allowed.