Yifeng Liu (born July 19, 1985 in

Shanghai Shanghai, Shanghainese: , Standard Chinese pronunciation: is a direct-administered municipality and the most populous urban area in China. The city is located on the Chinese shoreline on the southern estuary of the Yangtze River, with the ...

China China, officially the People's Republic of China (PRC), is a country in East Asia. With population of China, a population exceeding 1.4 billion, it is the list of countries by population (United Nations), second-most populous country after ...

) is a Chinese professor of mathematics at

Zhejiang University Zhejiang University (ZJU) is a public university, public research university in Hangzhou, Zhejiang, China. It is affiliated with the Ministry of Education (China), Ministry of Education. The university is part of Project 211, Project 985, and D ...

specializing in

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G o ...

s and

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

Career

Liu received his BS Degree from

Peking University Peking University (PKU) is a Public university, public Types of universities and colleges in China#By designated academic emphasis, university in Haidian, Beijing, China. It is affiliated with and funded by the Ministry of Education of the Peop ...

in 2007 and PhD degree from

Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...

, New York, in 2012 under the direction of

Shou-Wu Zhang Shou-Wu Zhang (; born October 9, 1962) is a Chinese-American mathematician known for his work in number theory and arithmetic geometry. He is currently a Professor of Mathematics at Princeton University. Biography Early life Shou-Wu Zhang was b ...

. He was a C.L.E. Moore Instructor at

MIT The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sc ...

from 2012 to 2015 and an assistant professor at

Northwestern University Northwestern University (NU) is a Private university, private research university in Evanston, Illinois, United States. Established in 1851 to serve the historic Northwest Territory, it is the oldest University charter, chartered university in ...

from 2015 to 2018 before being appointed an associate professor at Yale University. Liu returned to China in 2021 to join

Zheijiang University Zhejiang University (ZJU) is a public research university in Hangzhou, Zhejiang, China. It is affiliated with the Ministry of Education. The university is part of Project 211, Project 985, and Double First-Class Construction. The universit ...

became a full professor of mathematics. Liu has made important contributions to arithmetic geometry and number theory. His contributions span a wide spectrum of topics such as arithmetic theta lifts and derivatives of

L-functions In mathematics, an ''L''-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An ''L''-series is a Dirichlet series, usually convergent on a half-plane, that may gi ...

, the

Gan–Gross–Prasad conjecture In mathematics, the Gan–Gross–Prasad conjecture is a restriction problem in the representation theory of real or Lie groups posed by Gan Wee Teck, Benedict Gross, and Dipendra Prasad. The problem originated from a conjecture of Gross a ...

and its arithmetic counterpart, the Beilinson–Bloch–Kato conjecture, the

geometric Langlands program In mathematics, the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained by replacing the number fields appearing in the original number theoretic ...

, the p-adic Waldspurger theorem, and the study of

étale cohomology In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil conjectu ...

Artin stack In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets. Stacks are used to formalise some of the main constructions of descent theory, and to construct fine moduli stacks when fine moduli ...

Awards

He received a

Sloan Research Fellowship The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. ...

in 2017. He was awarded the 2018

SASTRA Ramanujan Prize The SASTRA Ramanujan Prize is an annual prize awarded to outstanding contributions in mathematics. It was incorporated and is awarded by the Shanmugha Arts, Science, Technology & Research Academy (SASTRA) in Thanjavur district, Tamil Nadu. The awa ...

for his contributions to the field of mathematics. He shared the prize with

Jack Thorne Jack Thorne FRSL (born 6 December 1978) is a British playwright, television writer, screenwriter, and producer. A massive fan of hard science fiction, he is best known for writing the stage play '' Harry Potter and the Cursed Child'', the fil ...

References

External links

Yifeng Liu's personal homepage
{{DEFAULTSORT:Liu, Yifeng 1985 births Living people Mathematicians from Shanghai 21st-century Chinese mathematicians Peking University alumni Columbia University alumni Massachusetts Institute of Technology School of Science faculty Northwestern University faculty Yale University faculty Chinese emigrants to the United States Educators from Shanghai Arithmetic geometers Sloan Research Fellows