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Professor Liu Ruochuan of Peking University won the Ramanujan Medal, the fourth time a Chinese scholar has won this honor

2024-07-24

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The Ramanujan Prize 2024 is awarded toPeking University Liu Ruochuan

Liu Ruochuan is currently Boya Distinguished Professor and Vice Dean of the School of Mathematical Sciences at Peking University.



The selection committee believes that Liu Ruochuan has made fundamental contributions to p-adic Hodge theory, especially his groundbreaking research on relative p-adic Hodge theory, and has also done extraordinary work in the rigidity of p-adic local systems and the Riemann-Hilbert correspondence.

The prize is awarded jointly by the International Centre for Theoretical Physics (ICTP) and the International Mathematical Union (IMU) at a ceremony to be held later this year.

The Ramanujan Prize is awarded annually to a young mathematician from a developing country who is under 45 years old on December 31 of that year and has made outstanding scientific research, in memory of Ramanujan, a talented young Indian mathematician.

(The SASTRA Ramanujan Prize is for mathematicians under 32 years of age.)

Previously, Peking University mathematicians Shi Yuguang and Xu Chenyang and Professor Tian Ye of the University of Chinese Academy of Sciences won this honor in 2010, 2016 and 2013 respectively.

Selected as a candidate for the Chinese Academy of Sciences

Liu Ruochuan was born in 1980.

In 1999, he won the gold medal in the 40th International Mathematical Olympiad and was admitted to study at the School of Mathematical Sciences of Peking University in the same year.

In 2004, he graduated from the School of Mathematics of Peking University with a bachelor's and master's degree, and his supervisor was Professor Tian Gang.

In 2008, after obtaining his Ph.D. from MIT, Liu Ruochuan went to the University of Paris VII in France for postdoctoral research.

In 2012, he returned to Peking University and worked at the Beijing International Center for Mathematical Research.



Liu Ruochuan's research areas are arithmetic geometry and algebraic number theory.

he isp-adic Hodge theory and p-adic automorphic formsHe has made a series of outstanding research results in fields such as physics and physics, especially in the pioneering work on non-commutative p-adic Hodge theory.

He also conducted interdisciplinary research on arithmetic geometry and algebraic topology with his collaborators, providing a completely new computational method for topological cyclic homology and opening up a new research direction.

The project "p-adic Hodge Theory and Its Applications" he completed independently won the second prize of the National Natural Science Award in 2020.



The study of Simpson correspondence of p-adic varieties was pioneered by Faltings (winner of the 1986 Fields Medal) in the 1990s.

In 2017, Liu Ruochuan andZhu XinwenIn collaboration with Liu Ruochuan and Kedleya, they established the Simpson functor for any local system on a p-adic smooth rigid cluster, breaking through the small condition in Faltings' work and establishing the Riemann-Hilbert functor. The research results were published in Inventiones Mathematicae in 2017. International peers highly praised this work and called it "Liu-Zhu’s theory”

In 2018, Liu Ruochuan, Zhu Xinwen and their collaborators Diao Hansheng and Lan Kaiwen further extended the 2017 results to the logarithmic case and established a p-adic version of the Riemann-Hilbert correspondence on complex algebraic varieties constructed by Deligne. In particular, they proved that the p-adic Riemann-Hilbert correspondence is compatible with Deligne's Riemann-Hilbert correspondence for natural local systems on any will village variety.

In 2022, the paper Logarithmic Riemann-Hilbert correspondences for rigid varieties completed by Liu Ruochuan and his collaborators was accepted by the Journal of American Mathematical Society (JAMS), a top international mathematics journal.

The reviewers spoke highly of the paper, and the results of the paper were quickly applied by international peers, playing a key role in Pila-Shankar-Tsimerman's breakthrough work on the Andre-Oort conjecture on arbitrary will village clusters.



In addition, Liu Ruochuan has also won the National Outstanding Youth Science Fund, the China Youth Science and Technology Award, the "Science Exploration Award", the "New Cornerstone Researcher" and other awards and honors. In 2023, he was selected as a valid candidate for the election of academicians of the Department of Mathematics and Physics of the Chinese Academy of Sciences.

One More Thing

It is worth mentioning that Liu Ruochuan and Xu Chenyang, who won the Ramanujan Award together, were good friends during their student days.

They are all students of the Class of 1999 of the School of Mathematical Sciences of Peking University, and together with Yun Zhiwei, Yuan Xinyi, Song Shichang, Xiao Liang and others, they are known as the "Golden Generation of Peking University Mathematics".

Liu Ruochuan mentioned in an interview that he and Xu Chenyang were not in the same dormitory at the time, but they attended classes, ate, and studied together.

We often discuss issues in private. During the process of discussion and communication, I discovered different ways of thinking and learned to use different ways of thinking to consider issues. This has a great impact on me.



△Source: Peking University News Network

(From left to right: Liu Ruochuan, Yun Zhiwei, Yuan Xinyi, Song Shichang, Xiao Liang and Xu Chenyang)

Finally, congratulations again to Professor Liu Ruochuan for winning the award!

Reference Links:
[1]https://www.ictp.it/news/2024/7/ramanujan-prize-2024-announced
[2]https://mp.weixin.qq.com/s/w5xsC_EbCF1IOZYwwtDklg
[3]https://mp.weixin.qq.com/s/1JvPwAef-kAcfkDN9vamMA
[4]https://zh.m.wikipedia.org/w/index.php?title=ICTP%E6%8B%89%E9%A9%AC%E5%8A%AA%E9%87%91%E5%A5%96&wprov=rarw1