Xinyi Yuan

JOB TITLE: Associate Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Number theory

PhD students

SELECTED PUBLICATIONS: 

1. (with Shou-Wu Zhang and Wei Zhang) The Gross-Kohnen-Zagier Theorem over Totally Real Fields, Compositio Mathematicae 145 (2009), 1147--1162.
2. On Volumes of Arithmetic Line Bundles, Compositio Mathematicae 145 (2009), 1447--1464.
3. (with Shou-Wu Zhang and Wei Zhang) The Gross-Zagier Formula on Shimura Curves, Annals of Mathematics Studies, Princeton University Press, 2012.
4. (with Tong Zhang) Eective bound of linear series on arithmetic surfaces, Duke Math. J. 162 (2013), no. 10, 1723--1770.