Xinyi Yuan
Xinyi Yuan is a Chinese mathematician who is currently a professor of mathematics at Peking University working in number theory, arithmetic geometry, and automorphic forms. In particular, his work focuses on arithmetic intersection theory, algebraic dynamics, Diophantine equations and special values of L-functions.Education
Yuan is from Macheng, Huanggang, Hubei, and graduated from Huanggang Middle School in 2000. That year, he received a gold medal at the International Mathematical Olympiad while representing China. 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. 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.Career
He spent time at the Institute for Advanced Study, Princeton University, and Harvard University before joining the Berkeley faculty in 2012.
Yuan was appointed a Clay Research Fellow for a three-year term from 2008 to 2013. 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.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.Publications (selected)
- , Duke Math. J. 162, no. 10, 1723–1770.
- , Compositio Math. 145, 1447–1464.
- , Invent. Math. 173, no. 3, 603–649.
- , Advances in Mathematics 259, 89–115.
- , Math. Ann., 1–49.
- , Compositio Math. 145, no. 5, 1147–1162.
- , Annals of Mathematics Studies vol. 184, Princeton University Press, 2012.
- , preprint.
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