402: Chapter 852 Wang Hong's Talent

If this had been two years ago, Zhao Yang would not have been so blunt.

But things are different now. Given his current standing in the international academic community and the entire Longguo scientific research system standing behind him, he has sufficient confidence and does not need to worry about being tactful in these matters at all.

Professor Tao opened his mouth, but found he could not refute this. After a while, he sighed.

"That may be true, but it is still necessary to maintain connections and communication channels within the international academic community. If some things can be explained, it is better to explain them without being too direct. If you reply a little and provide a reasonable explanation, the subsequent controversy will naturally fade away over time."

Professor Tao said, looking at Zhao Yang.

"It is meaningless. Everything that needs to be said is already in the paper, and every step of the methodology is clearly listed. If they really want to replicate the experiment, they can just follow it. If they don't want to, no amount of explanation from me will be useful."

Zhao Yang waved his hand.

Professor Tao sighed again and did not continue to persuade him.

"Fine, as long as you know what you are doing."

Having said that, he turned and left the office.

After Professor Tao left, Wang Hong, who had been listening from the side for a while, turned around from her seat and looked at Zhao Yang curiously, asking, "Teacher Zhao, is the paper Professor Tao just mentioned the one you recently published in the Spark Biology Journal about Directed Evolution?"

Zhao Yang glanced at her, feeling a bit surprised.

"You are also interested in the field of Biology?"

Wang Hong smiled embarrassedly and put down the pen in her hand.

"I am not interested in Biology itself, but in the mathematical tools used in your paper. I specifically went through that paper a few days ago. The modeling part regarding cell response speed used a quite clever partial differential equation constraint, which is very different from the conventional methods I have seen in the literature before. I tried to derive it myself, but I didn't quite understand one of the boundary conditions."

After listening, Zhao Yang looked at Wang Hong seriously.

This girl truly has talent.

The mathematical tools involved in that paper were far from what an ordinary Department of Mathematics student could see through at a glance. The fact that she could sharply grasp the core partial differential equation part showed that her mathematical intuition was indeed a cut above the other students in the research group.

"That boundary condition was derived from the spectral decomposition of operators in Hilbert space; I didn't elaborate on the specific derivation steps in the paper's appendix. If you want to know, I can specifically talk about it at the next group meeting."

As Zhao Yang spoke, he flipped through a page of draft paper from the side, quickly drew two lines of formulas on it, and handed it to Wang Hong.

Wang Hong took the draft paper, her eyes brightening.

"Thank you, Teacher Zhao! I would like to ask you, regarding the data fitting for your proteome reconstruction efficiency, did you use the same set of normal cone boundary estimates that you used in the P vs NP proof? I looked at the sets of statistical results listed in the table, and the fitting accuracy is much higher than that of ordinary regression models."

"Yes, that method had its parameter space slightly adjusted in this paper."

Zhao Yang briefly explained a few points about data modeling and statistical processing, then changed the subject, bringing the topic back to the Warings Problem.

"Alright, let's stop talking about Biology for now. Tell me about your progress; how is your research project going recently?"

Zhao Yang looked at the five students in front of him and asked.

The students looked at each other, and Fiers spoke first.

"Teacher Liu, I recently chewed through Vinogradov's methodology of trigonometric sums from beginning to end and discovered that a lemma regarding exponential sum estimation can be used to handle the upper bounds of certain special cases in the Warings Problem."

Wang Hong, who was next to him, listened for a while and then began to explain her own train of thought.

"I am more inclined to cut in from the intersection of the Circle Method and the Sieve Method. You previously gave me pointers on the remainder integral, and your guidance on that contour selection problem gave me some new ideas."

He Changyan listened quietly from the side, and only added after both of them had finished speaking.

"I have set out to organize all the key literature on the Waring's conjecture from the last ten years and am conducting a systematic comparative analysis. I have established a special framework for the Warings Problem..."

After listening to the students' remarks, Zhao Yang commented on them one by one on the whiteboard.

He pointed out that Wang Hong's approach might encounter local divergence problems when dealing with high powers, and while the path Fiers envisioned had a complete structure, it contained an assumption about special moduli that needed to be supplemented in subsequent derivations.

As for He Changyan... his analytical framework was quite solid, but it still lacked an underlying perspective that could unify the different methods.

As the days went by, Zhao Yang had gained a general understanding of his five students.

The mathematical foundations of these five people were all quite good; they were truly one in ten thousand.

Among them, Wang Hong had the best mathematical talent.

Her thinking was unconstrained, often taking unconventional paths, but because of her free-spirited way of thinking, she sometimes made leaps that were too large, ignoring intermediate steps.

However, the ideas she occasionally popped out with made him pause on the draft paper for several extra seconds.

Zhao Yang would also consciously guide her more often.

This was not favoritism, but rather that he felt it would be a great pity if this kind of inspiration was not well polished and guided.

It would be too wasteful; such a good seedling should be nurtured well.

After assigning the follow-up tasks, Zhao Yang left the office.

In the hallway, he ran into Professor Wang Wenyuan, who was walking from the opposite direction.

The old man stopped with a smile when he saw Zhao Yang.

"Zhao Yang, I saw the news a few days ago; you're trending again. For these past few years, my ears have been filled with your name every day; it's hard not to know what you're up to."

Professor Wang Wenyuan said humorously.

Zhao Yang smiled and shook his head.

"Professor Wang Wenyuan, please don't tease me. Most of those trending topics are just netizens playing with memes; they don't have much to do with me personally."

The two stood in the hallway and chatted for a while.

Professor Wang Wenyuan asked about the progress of his research group regarding the Waring's conjecture.

Zhao Yang roughly described the directions of several students and their recent results.

After listening, Professor Wang Wenyuan nodded approvingly.

"Your level of student mentorship is quite good! Honestly, when you suddenly recruited ten students before, I was worried that you wouldn't be able to manage your energy. Now it seems that this research group is slowly getting on track. At the current pace, the phased results accumulated so far are already enough to publish a very good paper."

"It's still too early. The first paper from our research group must be at the 'Big Four' level, otherwise we won't publish it."

Zhao Yang said somewhat modestly.

"Your ambition is quite large! The 'Big Four'! I don't even have many papers at the 'Big Four' level."

Professor Wang Wenyuan shook his head with a wry smile.

Zhao Yang chatted with Professor Wang Wenyuan for a few more sentences, and then the two parted ways at the stairwell.

Zhao Yang left the School of Mathematics and went to the Biology laboratory in the Science Building Complex.

Zhou Ting was leading two master's students in running a new batch of Western blots.

Seeing him enter, she took the initiative to report the loading order and antibody dilution ratio for this batch of samples.

Zhao Yang checked her experimental records, pointed out a detail where the transfer time was a bit too short, and then chatted briefly with the students about some experimental design ideas in that Directed Evolution paper.

It was mainly about the parts regarding the control group setup and the choice of statistical methods.

After finishing, he didn't stay in the lab long and took a car directly back to the villa.