Breakthrough progress!Peking University professor Liu Ruchuan's latest achievement

Liu Ruchuan, a professor of Peking University Boya Specials and Deputy Dean of the School of Mathematics Science, has made important progress in the study of arithmetic geometry. The research results have been recently accepted by the top international mathematical journal Journal of American Mathematical Society (JAMS). The reviewer commented on this paper "Absolutely an amazing papers", "beautiful results, strong methods and technology", "will become classic papers in the field." The result of the paper was quickly applied by international peers, and it played a key role in the breakthrough work of Pila-Shankar-Tsimerman about Renzhi Village's Andre-OORT conjecture recently.

The papers that Liu Ruchuan completed with the collaborator was accepted by JAMS

The paper accepted by JAMS is "Logarithmic Riemann-Hilbert CorresPondnces for Rigid Varieties".

Liu Ruchuan completed independently

"P enter the theory and its application" project

Won the second prize of the National Natural Science Award of 2020

Liu Ruchuan's long -term cultivation in the field of arithmetic geometry and algebraic theory. Let us approach this active young mathematician together, a glimpse of the world behind mathematical symbols and formulas ...

The wider road

Gradually, the road became wider, and there was a feeling of wider. I have some views that others may not have, reserve more capabilities and knowledge, and can study problems that are difficult to reach in the past.

The corresponding research of the SIMPSON of P's cluster was founded by Faltings (1986 Phils Award winner) in the 1990s. In 2017, Liu Ruchuan cooperated with Zhu Yanwen to use the PE analysis technology developed by Liu Ruchuan and Kedlaya to establish a SIMPSON letter on any local system on the smooth and rigid cluster of P into the smooth and rigid cluster of P, break through the Small conditions in FALTINGS, and establish Li. Man Hilbert's letter, the research results were published at Inventiones Mathematicae in 2017. The international colleagues highly evaluated the work and called it "liu-zhu's theory". In 2018, Liu Ruchuan, Zhu Yingwen and collaborators Diao Yusheng, and Lan Kaiwen further promoted the results of 2017 to the situation of Logarithmic, and established the Deligne constructed resurgence. Version. In particular, the natural local system on Renzhi Village proves that P entered Ryman Hilbert's correspondence with Ryman Hilbert, which is Deligne.

Liu Ruchuan is at work

Liu Ruchuan has been working in related fields for many years. He has won the second prize of the National Natural Science Award in 2020 by the "P enter Hodch theory and its application" project independently. In recent years, Liu Ruchuan has gradually expanded the research field into the form of P in self -defense and algebratellatology, and has achieved fruitful results.

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The advantage of broadening the research surface is that looking at a problem can be divergent. Sometimes research in different directions may also gather together to stimulate new inspiration and achievements.

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Liu Ruchuan's research on future research is full of confidence and expectations. He is constantly looking for more possibilities, always keeps sensitive and open -minded about new research, phenomena, and directions, and try to ensure that he is in a relatively active state of research.

Keep a sensitive and firm choice, and then rule out difficulties. If there is any "secret" behind Liu Ruchuan's success, maybe this is the "mystery".

Create a scene on the wilderness

The world of mathematics is very large. Liu Ruchuan has been moving forward, studying and expanding, creating a unique scenery. He hopes that this scenery is beautiful and long -lasting. After the test of time, it is still valuable.

Liu Ruchuan has been in the Mathematical Olympic Competition since the fourth grade of elementary school. When he mentioned his encounter with mathematics, Liu Ruchuan attributed his fate to Chichen's love: "It is a very natural thing to learn mathematics and fall in love with mathematics. That is interest. "He enjoyed the feeling of challenging difficulties, and found the extraordinary beauty of the mathematical world in the process of constant thinking and self -study.

In 1999, Liu Ruchuan won the gold medal of the 40th International Mathematics Olympic Contest and was awarded to the School of Mathematics and Sciences of Peking University in the same year. He completed all the courses of undergraduate and master's degree in five years, and went to Massachusetts Institute of Technology to study for a doctorate degree. During the PhD, Liu Ruchuan has been conducting the research on P into the theoretical of Pohn Hodg. After continuous exploration and accumulation, he has obtained a series of Important progress.

Liu Ruchuan at Beijing University Beijing International Mathematics Research Center

Ten years of shining, the little boy who was rejoicing and excited because he finally solved a problem because of the day and night thoughts, he had grown into a young mathematician. Time is 未, the original intention has not changed, Liu Ruchuan said:

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The beauty of research is that it can be found that what others have not seen and solve the problems that others cannot solve, as if in an empty wilderness, create a unique scenery.

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Liu Ruchuan is not entangled in the "usefulness" of basic research. After decades after the establishment of Riemann Geometry, it was not true in the process of establishing a broad sense theory in Einstein. It is not what people can predict in advance. If we stick to the so -called 'useful learning', we may always follow others, and even have a danger of stagnation. "Scientific research is not a lonely journey. Liu Ruchuan attaches great importance to cooperation and communication: "Cooperation with excellent colleagues can communicate and promote growth." Liu Ruchuan believes that a good scientific research field is composed of good scientific research concepts, atmosphere, and diverse and excellent scientists. What makes him happy is that in recent years, the talent teams of the School of Mathematics and Science of Peking University and the Beijing International Mathematics Research Center are constantly growing, and more and more outstanding scholars and outstanding students have created a good research environment together. "A good scientist reaches a certain 'density', which will burst into an unexpected spark."

He was drunk with the fun of sinking and studying, and he was also willing to discuss and exchange with many outstanding scholars and outstanding students. The new inspiration was inspired by hardships and thinking in his thinking day and night. In this garden, his scenery belongs to his scenery, broad and wide.

"Teaching" more "educate people"

Liu Ruchuan has a deep relationship with Peking University. He cherishes and thanks to study at Peking University. In 2012, Liu Ruchuan returned to Peking University to teach. Back to Yanyuan as a teacher, Liu Ruchuan also had a new experience.

In Liu Ruchuan's eyes, teaching is a sense of stress and happiness coexisting. The School of Mathematics and Sciences of Peking University concentrated on the outstanding students in the country. Liu Ruchuan found that "excellent students are usually sharp and true. Sometimes I point out my mistakes in the classroom or challenge me After taking the graduate class set by Liu Ruchuan, not only can keep up with the progress of the classroom, but you can even point out the mistakes of Liu Ruchuan's derivation. Although it is not so pleasant in person to be questioned in person, Liu Ruchuan has always encouraged students to express their different opinions. He feels that this not only promotes the students' speculative spirit and independence, and it is also a good spur for himself.

From 2012 to the present, Liu Ruchuan has been exploring better teaching methods. "Education requires slow kung fu. You must be practical and not impetuous." Liu Ruchuan adhered to this concept and polished and continuously advanced in teaching. He will spend time to observe students and talk to students, and figure out the students' academic foundation, thinking methods, and personal interests. On this basis, he often reflects on himself. Is it appropriate to educate students, and whether the effect of educating people is ideal?

He hopes that students will not only receive knowledge in the learning process, but also have the ability to "output". They can find problems, solve problems, and clearly explain problems to others, and connect their learning results with others and the world. He strives to give students the power to choose, and also strives to guide them to the deep place.

With such an ideal state, Liu Ruchuan keeps keeping in mind:

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Teaching is not only teaching, but also more importantly. Teachers must have a sense of mission and be brave to bear the responsibility of educating people. When you focus on the long -term growth of students, instead of several rolling scores in front of you, I believe that you can always find a good teaching method.

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At the opening ceremony of the Peking University Freshmen in 2021, Liu Ruchuan said to his classmates:

"The university guards the rationality of human society, inherits the essence of human civilization, and is struggling to expand the boundaries of human cognition. When you come to Peking University today, you must be full of knowledge of knowledge. After the time of time, we will eventually end up. Pushing into the distance by the torrent of life. But I hope that no matter when and where, you will always have a firm belief in rationality and keep a sincere respect for pure and utilitarian pursuit of new knowledge. "

Back to the practice of daily life, he is using his adherence and exploration to make a right footnote for this passage.

Professor Liu Ruchuan spoke as a teacher representative at the opening ceremony of the 2021 school in Peking University

Character introduction

Liu Ruchuan is currently a professor of Peking University Boya and Deputy Dean of the School of Mathematics. The 40th International Mathematics Olympic Gold Medal. Bachelor and Master's degree graduated from the School of Mathematics and Sciences of Peking University and graduated from the Massachusetts Institute of Technology in the United States. He returned to Peking University in 2012, joined the Beijing International Mathematical Research Center, was funded by the National Outstanding Youth Science Fund in 2017, and won the first "Scientific Exploration Award" in 2019. In 2020, he won the 16th China Youth Science and Technology Award.

Liu Ruchuan's main research areas are arithmetic geometric and algebraic theory. In the direction of Pojin Hodg theory, P into the form of self -defense, a series of important results have been achieved. Among them, he independently completed the "P into the Hodg theory and its application" project won the second prize of the National Natural Science Award in 2020.

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

Edit: Wu Xingying

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