He resigned from France's lifelong teaching position, he joined Peking University!

In the spring of this year, Xie Junyi, a professor of Peking University Beijing International Mathematics Research Center, and Yuan Xinyi's papers "Geometric Bogomology Conjecture in Arbitrary Characteristics" published in the world's top mathematical journal Mathematicae, which has attracted widespread attention at home and abroad. The famous arithmetic BOGOMOLOV conjecture was proven by mathematician Ullmo and Zhang Shouwu in 1998.

And geometric bogomolov guess is a rare function domain than the Digital domain. There have been many mathematicians challenged before. A perfect discrimination method of Bigness on the cluster of the clusters on the cluster of the ejaculation algebraic curve is given.

The results of the cooperation between Xie Junyi and Yuan Xinyi

As one of the collaborators of this research, Xie Junyi is an extremely active young leading mathematician in the field of arithmetic power systems. He has done a very profound and influential original work in the field of arithmetic power system. In 2021, Xie Junyi resigned as a lifelong position of the French National Science Research Center (CNRS) and joined Peking University Beijing International Mathematics Research Center in the fall of the same year.

After the summer solstice, the grass and trees in the Huaixinyuan of Peking University, the carved beams and eaves and the Zhuhong back corridor drifted through the discussion and the words of the discussion. This is the Beijing International Mathematical Research Center and the place where Xie Junyi usually works.

"The results of the cooperation between you and Yuan Xinyi on the Internet are‘ 2022 domestic universities as the only papers published in the four major issues of mathematics ’magazines.”

"Is this constraint too much?" Xie Junyi scratched his head gently, showing a smile.

Xie Junyi at Beijing University Beijing International Mathematics Center

Frank

Diversity of mathematics "learning"

Xie Junyi entered the Department of Mathematics of the University of Science and Technology of China in 2005. He was curious about mathematics. He often caught the teacher to ask the teacher to ask the mathematics question. At that time, Shen Weixiao, an expert in the field of compound power system, gave the actual change function courses at the University of Science and Technology of China. The relationship with Teacher Shen made Xie Junyi interested in the research on the power system.

In my junior year, Xie Junyi went to study in France through the international enrollment project of the Paris Higher Normal University in France. This is still an earlier batch in China. After studying in France for more than ten years, Xie Junyi has his own opinions on the "learning" of French mathematics:

""

French mathematics has a deep heritage. As far as the subject of mathematics itself is concerned, there are some historical accumulation in all directions. French mathematicians do not work in the hottest direction. This diversity is sometimes very meaningful and can express personal style in mathematics.

This research idea of ​​following personal interests and diversified development has also made Xie Junyi always focus on exploring the "mainstream", a wider mathematical landscape.

Xie Junyi in France

Xie Junyi has been paying attention to the problem of the field of arithmetic power systems since the doctoral stage, that is, the evolution of the laws defined by polynomial definition. These only need to be uniformly expressed through addition, subtraction and multiplication, but after repeated iteration, it will be intricate and complex. the behavior of. From simple and complicated, just like the reproduction and growth of the thousands of worlds, and the complex structure contained under the surface of the "flat and unpretentious" implies the deep connotation of this direction. After Xie Junyi entered this field, he found that this was exactly what he was interested in, especially the arithmetic power system belongs to a relatively emerging direction. There is enough space for researchers to gallop personal style. "I prefer this thing. It means that I can do a lot of my own things. " In 2016, Xie Junyi won the Fourth New World Mathematical Award Ph.D. Thesis Gold Award.

At present, the research of arithmetic power system still has huge potential, and has close connection with other mature directions, which also means that it can absorb sufficient nutrients from the surrounding direction and promote each other. Xie Junyi expects that he can discover more profound and original issues. At the same time, he is not satisfied with dealing with specific issues. He also hopes that the basic work of the development of framework and promotes the research in the field of arithmetic power systems to open up new prospects.

Huaixinyuan

Attack geometric bogomolov conjecture

"I didn't want to return to the country when I would return, but I have always planned to return to China." Xie Junyi felt that he was still more suitable for domestic culture deeply. He also hoped that his children could live in a domestic environment. The idea of ​​returning home has been always in the country. He hovered in his heart.

Before officially joined Peking University, Xie Junyi visited the Beijing International Mathematical Research Center for more than half a year. During the visit, he exchanged mathematical ideas with colleagues from Peking University, invited to make some reports, and also taught short -term courses. The environment here makes him feel "very comfortable". He didn't know how to define it in this atmosphere, but he felt that this was a good thing:

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This shows that it is relatively free here. No one else will force you and instill a thought into your head.

Xie Junyi discussed with mathematicians at Beijing International Mathematics Research Center

The intimate academic community of Peking University is undoubtedly one of the factors that attract Xie Junyi's ultimate joining. The dialogue between excellent mathematicians can often open up new thinking. This is the case of Xie Junyi and Yuan Xinyi.

As early as working in France, Xie Junyi discussed with other collaborators to discuss the problem of geometric BOGOMOLOV conjecture. In 2018, Xie Junyi collaborated with Cantat, Gao Ziyang, and Habegger to prove that this guess was established at the time of the characteristics. Xie Junyi has since hoped to completely resolve this conjecture and think about it from time to time; Yuan Xinyi, who has just returned to Peking University from the University of California Berkeley, also paid attention to this issue. Xie Junyi and Yuan Xinyi were in the same courtyard at the office of Huaixinyuan, Peking University, and often visited each other. In less than two weeks, they overcome the guess.

Such efficient wisdom spark collisions are inseparable from the tacit understanding of the two. "There must be at least one person among the two collaborators. This may be a necessary condition for cooperation. Teacher Yuan and I are more patient. Maybe Teacher Yuan is more patient." Talking about the "secrets" of cooperation research, Xie Junyi laughed. Wait.

Patience and friendship makes the academic "interoperability" unimpeded. In addition, the complementary style also creates possibilities for cooperation. Xie Junyi believes that he is a dynamic system scholar, and the attention and ideas are very "dynamic systems", while Yuan Xinyi is the leading scholar in terms of digital theory. The common interest and complementary knowledge structure made the ingenious ideas of the two, and quickly made a breakthrough. As a result, Xie Junyi and Yuan Xinyi were very happy, because the cycle of this work was quite short in the mathematical world. This kind of "fairy combination" is somewhat unable to find, but many outstanding mathematicians who are "stationed" in Peking University make this might no longer be a suspended air tower, but becomes within reach.

In June of this year, Xie Junyi's papers The Existence of Zariski Dense OrBits for Endomorphisms of Projective Surfaces Journal of American Mathematical Society (Jams) is published online. The new topology introduced by the article has been applied to multiple other issues of arithmetic power system.

Xie Junyi (left) discussed with the visitors

In mathematics

Be a "barbarians" in the civilized world

After coming to Peking University, Xie Junyi had more contact with the students, and the students of Peking University also brought a lot of surprises to Xie Junyi. "Students who study mathematics here really love mathematics, and they are willing to invest a lot of time to learn cutting -edge things." The excitement and enthusiasm of the students' discussion made Xie Junyi very pleased. Academic fun.

Xie Junyi took a group photo with the 2022 graduate

Xie Junyi will offer a special course for generations in the fall semester of 2022 to introduce his related work. Now he is in a busy preparation state. Because the previous position in France does not need to be class, which is a new challenge for him. He is also full of expectations: he is full of expectations:

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Others did not know about this thing, but through your teaching, he can feel that this difficult thing is actually very simple, or he is very interested in this thing. I think this is actually a very meaningful thing.

Because similar courses were rarely opened in China before, Xie Junyi plans to express his interesting ideas as much as possible to allow everyone to increase my horizons. "I hope I can tell this course well and at least make me satisfied." Xie Junyi said.

Xie Junyi in the classroom

In Xie Junyi's opinion, mathematics at this stage is an open field, just like a lot of fruit trees in a orchard. If you only stare at a tree, the fruit in the low place is picked up, and in the end everyone can only pick up the top top top to pick the top top. The fruit, this is also a "inner roll". Xie Junyi said:

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Perhaps for some people, even if the world is full of fruit, but those fruits are not important to me. As long as I am on the top of the tree, I think this kind of person is amazing.

But everyone's understanding of mathematics is different. Maybe a larger tree, or even a lush orchard, is also important.

Behind the new scene, behind this kind of active and open thinking, it is related to Xie Junyi's personal belief in mathematics research.

When studying a doctorate in France, Xie Junyi had a good communication with mentor Charles Favre. Xie Junyi's deepest feeling is the "strongness" of the mentor's thinking. "My teacher is not a very fast response mathematician, but his work is very original, and he has a set of belief in mathematics. A little "barbaric '". From Xie Junyi's expression, we can feel that "barbaric" corresponds to a strong academic vitality, which is to break the dedication and belief of "doing my own things".

Xie Junyi sometimes feels that doing mathematical research is not to make himself completely into a "civilized person" in mathematics:

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The so -called "civilized person" is the person who follows the norms and adapts to the system. For example, everyone thinks we should think about mathematics in this way. But you have some incomplete ideas that are not exactly the same, and may even be ridiculous and naive, but you have to think so, there must be some ‘barbarians’ ideas.

Of course, those ideas that can create civilization are naturally extraordinary, and Xie Junyi does not exclude the existing mathematical research system, but he hopes that his heart can still maintain the vitality of "barbaric". Being a "barbarians" in a civilized world in mathematics also means that it is not restricted, unlimited, and will always be on the road of breakthrough and re -exploration. Biography

Xie Junyi is currently a professor at Peking University Beijing International Mathematics Research Center. From 2005 to 2008, he studied at the Department of Mathematics of the University of Science and Technology of China. From 2008 to 2011, he studied at the Paris Higher Normal University and the Seventh University of Paris. The first university and the Toulouse Institute of Mathematics were engaged in research, obtained a lifelong position of the French National Scientific Research Center (CNRS) in 2016, and joined Peking University in November 2021. The main research directions are arithmetic power systems and related algebra geometric issues.

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Source: Peking University Rong Media Center, Peking University Beijing International Mathematics Center

Interview, text: Liu Wenxin, Zhong Kai

Photo: Provided by the respondent

Capture: Liu Hanyu

Responsible editor: Wang 王 ：

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