Chenyang Xu (; born 1981) is a Chinese mathematician in the area of algebraic geometry and a professor at

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the n ...

. Xu is known for his work in

birational geometry In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rationa ...

, the

minimal model program In algebraic geometry, the minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex projective variety which is as simple as possible. The subject has its or ...

, and the

K-stability of Fano varieties In mathematics, and in particular algebraic geometry, K-stability is an algebro-geometric stability condition for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where i ...

Career

After completing his PhD doctorate at

Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ni ...

under

János Kollár János Kollár (born 7 June 1956) is a Hungarian mathematician, specializing in algebraic geometry. Professional career Kollár began his studies at the Eötvös University in Budapest and later received his PhD at Brandeis University in 198 ...

's supervision, Xu joined

MIT The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

as a CLE Moore Instructor between 2008-2011. After a promotion to assistant professor at the

University of Utah The University of Utah (U of U, UofU, or simply The U) is a public research university in Salt Lake City, Utah. It is the flagship institution of the Utah System of Higher Education. The university was established in 1850 as the University of D ...

, Xu returned to

Peking University Peking University (PKU; ) is a public research university in Beijing, China. The university is funded by the Ministry of Education. Peking University was established as the Imperial University of Peking in 1898 when it received its royal charte ...

in 2012 to join the Beijing International Center of Mathematical Research, subsequently promoted to professor in 2013. In 2018, Xu joined the mathematics faculty at

as Professor. In 2020, Xu moved to

as Professor.

Awards

In 2016, he was announced as a winner of the

ICTP Ramanujan Prize The DST-ICTP-IMU Ramanujan Prize for Young Mathematicians from Developing Countries is a mathematics prize awarded annually by the International Centre for Theoretical Physics in Italy. The prize is named after the Indian mathematician Srinivasa ...

for that year, "in recognition of Xu's outstanding works in algebraic geometry, notably in the area of birational geometry, including works both on log canonical pairs and on Q-Fano varieties, and on the topology of singularities and their dual complexes." He is one of five winners of the 2019 New Horizons Prize for Early-Career Achievement in Mathematics, associated with the

Breakthrough Prize in Mathematics The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013. It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Priz ...

for his research in the minimal model program and applications to the moduli of algebraic varieties. He was elected as a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings ...

in the 2020 Class, for "contributions to algebraic geometry, in particular the minimal model program and the K-stability of Fano varieties". In 2021, he received the

Cole Prize The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number ...

in Algebra from the AMS.Cole Prize in Algebra 2021
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Selected publications

* C. D. Hacon, C. Xu (2013). "Existence of log canonical closures", ''

Inventiones Mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...

'' 192 (1), 161–195 49 * C. D. Hacon, J. McKernan, C. Xu (2014). "ACC for log canonical thresholds", ''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

'' 180 (2), 523–571 47

References

External links

Beijing International Center of Mathematics Research
{{DEFAULTSORT:Xu, Chenyang 1981 births Living people Algebraic geometers Princeton University alumni Massachusetts Institute of Technology School of Science faculty Academic staff of Peking University Peking University alumni Mathematicians from Chongqing Educators from Chongqing Chinese science writers Writers from Chongqing Fellows of the American Mathematical Society