Yan returns, Peking University young mathematician

Author:Beijing University Time:2022.09.19

Open the wonderful world of mathematics by chance

To become one now

Mathematicians who have obtained lifelong faculty

Liu Yi and their favorite mathematics

It has been ended for nearly 30 years

The main attack three -dimensional topology and bisircun

Liu Yi has won the National Outstanding Youth Fund

"Seeking" Outstanding Young Scholar Award

And in July this year

Invited to report at the 29th International Mathematical Conference

The story of Liu Yi and mathematics

In his free and tenacious blending

In his determination to return from overseas

Still continue

Mathematical Garden Roaming

No training class and instructor

No parents' urging

Entering the door to mathematics at the beginning

It's all Liu Yi's self -conscious behavior

As of now, Liu Yi has published three papers in Journal of the American Mathematical and Inventiones Mathematical and obtained a lifetime teaching position at Peking University. But to trace his fate with mathematics, and also return to an enlightenment reading that accidentally obtained when he was in the second grade of his elementary school- "Mathematics Garden Man".

At that time, the cousin who was in high school gave Liu Yi the book, and Liu Yi put it on the bookshelf and read it from time to time. Three years later, he learned about most of the contents of the book -no training course, no instructor, and no parent urging. At first, he entered the door of mathematics, which was completely a conscious behavior of Liu Yi.

In the cover and inside page of the "Mathematics Garden Roam" by the renewal of the Yangtze River Literature and Art Publishing House in 2019

Liu Yi still remembers a case of operations in the book: about how to arrange two different parts in the two machines in the workshop to achieve the purpose of completing the task as soon as possible. The author solved this problem simply and accurately by arranging different time combinations on the two parallel lines, which brought a great shock to Liu Yi. Under the guidance of this book, he was able to see the mathematical world outside the classroom at a very young age, and felt the fun of mathematics in a vivid and vivid case.

Light on the growth road

Talent before flashing

There are always some eyes such as the lamp

Meet it first

Liu Yi encountered two mathematics teachers who helped themselves in middle school -Mr. Cao Jian in junior high school and Teacher High School.

As a novice teaching, Mr. Cao Jian had his own unique teaching method and carefully discovered the flash point on Liu Yi. Under the guidance of Teacher Cao, Liu Yi realized that he might have some unique talents in the field of mathematics, and also made his eyes more attractive to mathematics. Teacher Yao Teacher led Liu Yi into the mathematical world more deeply and proposed and planned for his school path.

For Liu Yi, Teacher Ji has some soft but powerful attractions: "Teacher You has a temperament and charm that makes people like the spring breeze. I think the core of this temperament charm is the impact of mathematical knowledge and thinking. Want to be such a person. "

Liu Yi and High School Teacher Traveling

In the summer vacation of high school, the School of Mathematics Sciences of Peking University held the "Star of Mathematics" summer camp activities. Teachers recommended Liu Yi to participate. This is an affirmation for Liu Yi, and it also makes his willingness to study mathematics more firmly:

"In the summer camp, we taught us teachers from the Peking University Division. From their talks, I felt the charm of mathematics in the eyes of real mathematicians."

With the excellent performance in the 2001 National High School Student Mathematics League, Liu Yi came to Peking University Dungeon. At Peking University, he recognized a wider math world and was quickly attracted by one of the areas -topology.

Liu Yi's interest in topology was in the classroom of Mr. Fan Houhong, a professor at Peking University Dumerical Institute. In addition to the theoretical knowledge in the book, Teacher Fan will divert many points and details to the textbooks, show the wider appearance of mathematics to the students, and give the students to fully expand the space and guide everyone to think.

Liu Yi remembers that the first homework arranged by Teacher Fan was the question of Ramman's curved topology. For students who are new to university, the topic is difficult and complicated, and few people will do it at the beginning. With the gradual development of the course, Liu Yi realized that behind the question, Mr. Fan wanted to convey the deep meaning:

"In fact, doing research is often this process: the problem was mixed, virtuous, and unknown at the beginning. All doubts must be gradually clear through gradual exploration. Understanding. "

The charm of equal dialogue

Deep cultivation

Have a fuller personality

This is the greater inspiration of the teachers to Liu Yi

In 2006, Liu Yi went to the Department of Mathematics at the University of California Berkeley for a PhD. One year, Wang Shizhen and Ding Fan of the Peking University Cup of Duke Cup were affected by the "whether the tires were reversed once on the same embryo to 4 dimensions" have been troubled for a long time. Liu Yi also became very interested in this issue. After conducting an in -depth discussion with Yao Jiangang all night, Liu Yi shared his opinions, answering ideas and cases of the selected cases with Wang Shizhen and Ding Fan. The two teachers performed and promoted under the inspiration of Liu Yi's thinking. In the end, a professional paper that was launched on this problem was successfully completed.

Liu Yi at the University of California Berkeley

As one of the authors, this is the first professional paper Liu Yi participated in the completion of the doctoral stage. This episode not only made him deeply cultivating mathematics's confidence, but also made him feel the possibility and charm of equal communication with experts and scholars. "They are a professor who is admirable, and I am just a first -year student. No matter what the identity and the achievement, we can communicate so equally and frankly. This is a more important thing for the two teachers to teach me."

Teacher Liu Yi and Wang Shizhen

Several teachers' words and tutors had a subtle influence on Liu Yi. Care for students, expand classrooms, inspire thinking, advocate equality, and pay attention to communication ... The flashing points of teachers have been rich in internalization and display on Liu Yi. In addition to the identity of "mathematician", he has a more plump personality.

In the years that dealt with mathematics, Liu Yi knows that mathematics research is not a process of determining the goal and then strives. The key to solve the problem is often unexpected. So his research is not so utilitarian, and often hugs the mentality of "I am lucky" to roam in the world of mathematics. If the research at the moment has not progressed, he will look back at the classic theoretical books. What has not understood before may be transparent for a long time. Such an enlightenment may be used in a certain level to solve the problem in the future.

Return, continue to roam

Mathematics learning

Not only does it point to the existing mathematical theorem and facts

The process of discussion itself is part of mathematics

The four -year undergraduate study of the Peking University Hospital has left a deep mark on Liu Yi. There are traditions of students' spontaneous organizational discussion classes: several students determine a theme based on their own interests, and then attract students with the same preferences to join in. Everyone chose the materials together, and discussed it outside the class. The content of the book became "more live and broaden", and the like -minded students became intimate and intimate.

In such an experience, Liu Yi realized that the study of mathematics not only pointed to the existing mathematical theorem and mathematical facts. The process of discussion itself is part of mathematics.

"If you have good ideas, you can communicate frankly and fully. This is the most natural form of mathematics, or the closest to essence."

Liu Yi in the discussion class of Peking University

After completing the doctoral studies, Liu Yi returned to Yanyuan because of his deep feelings about family affairs and motherland, and because of his deep feelings for Peking University. He is currently a professor at Peking University Beijing International Mathematics Research Center. Or formal or casual, always maintain frequent exchanges with teachers and friends. This is one of the traits of Peking University mathematicians. It is the common background of Peking University mathematicians. It is also the best fusion agent for Liu Yi to return to Peking University.

"The influence of Peking University on me is unreasonable and unspeakable, and my life background has changed. At a certain moment, they will reflect like conditions, 'accidents' Way."

Liu Yi delivered a speech at the opening ceremony of the 2021 school of Peking University

Liu Yi and colleagues from Beijing International Mathematics Research Center Xiao Liang at the Peking University Library

From 2015 to Peking University, by 2021, Liu Yi has grown into a professor who has obtained a lifelong faculty. In July 2022, the 29th International Mathematics Conference was held in St. Petersburg. As a world -class representative and scholar in its field, Liu Yi was invited to participate in this conference known as the "Olympic Games in the mathematics industry" and made a 45 -minute report. , Share the major scientific research results and progress he has achieved in related fields -this means that Liu Yi's work has received the recognition and attention of the international academic community. He is under the age of 40 and has achieved such results.

After attending the conference, Liu Yi lamented: "There are many related reports and popular sciences before and after each meeting, so that many usually distant and isolated mathematical research content enters the vision of the public and academic communities."

Liu Yi's speech poster at the 29th International Mathematics Conference

The 29th International Mathematical Conference, Watching the Line of Beida Line Line

For more than thirty years, on the basis of talent, Liu Yi traveled the world and still fell in love with mathematics. On this road to the kingdom of mathematics, Liu Yi can just look forward to the year and the next thirty years.

Personal profile

Liu Yi received a bachelor's degree in Peking University in 2006, a doctorate degree in the University of California, Berkeley in 2012, and admitted to Peking University Beijing International Mathematics Research Center in July 2015. He is currently a professor of Peking University Boya. The National Outstanding Youth Fund won the "Seeking" Award for Outstanding Young Scholar. Liu Yi is an excellent young mathematician in the geometry and topology. Its main research direction is three -dimensional topology and bisirusca geometry. In July this year, Liu Yi invited a report at the 29th International Mathematical Conference.

"Yan Return" series report

Focus on choosing an excellent returning young scholar of Peking University

Their live story reflects the cultural spirit of the Peking University campus

The endless context inheritance

From them

We can feel the unique pursuit of Peking University

The feelings of rewarding the country

Source: Peking University Rong Media Center, the School of Mathematics of Peking University, Peking University Beijing International Mathematics Research Center

Writing: Wang Yue

Photo: Provided by the respondent

Edit | Capture: Yang Yingzheng

Editor -in -chief: Li Yan

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Return, continue deep cultivation

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