Xinyi Yuan
Chinese mathematician (born 1981)
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Xinyi Yuan (Chinese: 袁新意; born 1981) is a Chinese mathematician who is currently a professor of mathematics at Peking University working in number theory, arithmetic geometry, and automorphic forms.[1] In particular, his work focuses on arithmetic intersection theory, algebraic dynamics, Diophantine equations and special values of L-functions.
Columbia University (PhD)
- Clay Research Fellow (2008)
Xinyi Yuan | |
|---|---|
| 袁新意 | |
Yuan in 2017 | |
| Born | 1981 (age 44–45) |
| Alma mater | Peking University (BA) Columbia University (PhD) |
| Awards |
|
| Scientific career | |
| Fields | Mathematics |
| Institutions | Peking University University of California, Berkeley Institute for Advanced Study Princeton University Harvard University |
| Thesis | Equidistribution Theory over Algebraic Dynamical Systems (2008) |
| Doctoral advisor | Shou-Wu Zhang |
Early life and education
Yuan is from Macheng, Huanggang, Hubei province, and graduated from Huanggang Middle School in 2000.[2] That year, he received a gold medal at the International Mathematical Olympiad while representing China.[3] Yuan obtained his A.B. in mathematics from Peking University in 2003 and his Ph.D. in mathematics from the Columbia University in 2008 under the direction of Shou-Wu Zhang.[4] His article "Big Line Bundles over Arithmetic Varieties," published in Inventiones Mathematicae, demonstrates a natural sufficient condition for when the orbit under the absolute Galois group is equidistributed.[5]
Career
He spent time at the Institute for Advanced Study, Princeton University, and Harvard University before joining the Berkeley faculty in 2012.[6]
Yuan was appointed a Clay Research Fellow for a three-year term from 2008 to 2013.[7] Together with a number of other collaborators, Yuan was profiled in Quanta Magazine and Business Insider for, among other things, his research on L-functions.[8][9]
Yuan left UC Berkeley to become a full professor at Peking University in 2020.[10]
Research
Together with Shou-Wu Zhang, Yuan proved the averaged Colmez conjecture which was later shown to imply the André–Oort conjecture for Siegel modular varieties by Jacob Tsimerman.[11][12]
Publications (selected)
- Yuan, Xinyi; Zhang, Tong (2013). "Effective Bound of Linear Series on Arithmetic Surfaces" (PDF). Duke Mathematical Journal. 162 (10): 1723–1770. doi:10.1215/00127094-2322779.
- Yuan, Xinyi (2009). "On Volumes of Arithmetic Line Bundles" (PDF). Compositio Mathematica. 145 (6): 1447–1464. doi:10.1112/S0010437X0900428X.
- Yuan, Xinyi (2008). "Big Line Bundles over Arithmetic Varieties" (PDF). Inventiones mathematicae. 173 (3): 603–649. doi:10.1007/s00222-008-0127-9.
- Yuan, Xinyi; Zhang, Tong (2014). "Relative Noether inequality on fibered surfaces" (PDF). Advances in Mathematics. 259: 89–115. doi:10.1016/j.aim.2014.03.018.
- Yuan, Xinyi; Zhang, Shou-Wu (2017). "The arithmetic Hodge index theorem for adelic line bundles" (PDF). Mathematische Annalen. 367: 1123–1171. doi:10.1007/s00208-016-1414-1.
- Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei (2009). "The Gross–Kohnen–Zagier theorem over totally real fields". Compositio Mathematica. 145 (5): 1147–1162. arXiv:1407.1826. doi:10.1112/S0010437X08003734.
- Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei (2012). The Gross–Zagier formula on Shimura curves. Annals of Mathematics Studies. Vol. 184. Princeton University Press.
- Yuan, Xinyi; Zhang, Shou-Wu; Zhang, Wei (2016-04-11). Triple product L-series and Gross–Kudla–Schoen (PDF) (Report).
- Yuan, Xinyi; Zhang, Shou-Wu (2018). "On the averaged Colmez conjecture". Annals of Mathematics. 187 (2): 553–638. arXiv:1507.06903. doi:10.4007/annals.2018.187.2.4. S2CID 118916754.