# Xinyi Yuan

Associate Professor
Research
Primary Research Area:
Algebra
Research Interests:
Number theory
Contact Information
999 Evans Hall
yxy [at] math [dot] berkeley [dot] edu
Year Appointed:
2012
Publications
Selected Publications:

[1] Big Line Bundles over Arithmetic Varieties, Inventiones Mathematicae 173 (2008), no. 3, 603--649.

[2] (with Shou-Wu Zhang and Wei Zhang) The Gross-Kohnen-Zagier Theorem over Totally Real Fields, Compositio Mathematicae 145 (2009), 1147--1162.

[3] On Volumes of Arithmetic Line Bundles, Compositio Mathematicae 145 (2009), 1447--1464.

[4] (with Shou-Wu Zhang and Wei Zhang) The Gross-Zagier Formula on Shimura Curves, Annals of Mathematics Studies, Princeton University Press, 2012.

[5] (with Tong Zhang) Eective bound of linear series on arithmetic surfaces, Duke Math. J. 162 (2013), no. 10, 1723--1770.