袁新意 - 北京大学 - 北京国际数学研究中心

个人简介

Employment Professor, Beijing International Center for Mathematical Research, Peking University, 2020.01– Assistant & Associate Professor, Department of Mathematics, UC Berkeley, 2012.7-2020.12 Assistant Professor, Department of Mathematics, Princeton University, 2011-2012 Research Fellow, Clay Mathematics Institute, 2008-2011 Ritt Assistant Professor, Department of Mathematics, Columiba University, 2010-2011 Post-doctor, Department of Mathematics, Harvard University, 2009-2010 Post-doctor, School of Mathematics, Institute for Advanced Study, 2008-2009 Education B.S. Mathematics, Peking University, Beijing, 2000-2003 Ph.D. Mathematics, Columbia University, New York, 2003-2008 Awards Clay Research Fellowship, 2008-2011 Gold Medal, 41st International Mathematical Olympiad, Korea, 2000

研究领域

Number theory. More specifically, I work on Arakelov geometry, Diophantine equations, automorphic forms, Shimura varieties and algebraic dynamics. In particular, I focus on theories giving relations between these subjects.

近期论文

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[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] Algebraic Dynamics, Canonical Heights and Arakelov Geometry, Fifth International Congress of Chinese Mathematicians. Part 1, 2, 893–929, Amer. Math. Soc., Providence, RI, 2012. [5] (with Shou-Wu Zhang and Wei Zhang) The Gross-Zagier Formula on Shimura Curves, Annals of Mathematics Studies, Princeton University Press, 2012. [6] (with Tong Zhang) Effective bound of linear series on arithmetic surfaces, Duke Math. J. 162(2013), no. 10, 1723–1770. [7] (with Tong Zhang) Relative Noether inequality on fibered surfaces, Adv. Math. 259 (2014),89-115. [8] Volumes of arithmetic Okounkov bodies, Math. Z. 280 (2015), no. 3-4, 1075–1084. [9] (with Shou-Wu Zhang) Arithmetic Hodge index theorem for adelic line bunldes, Math. Ann.(2016), 1-49. [10] (with Ye Tian and Shou-Wu Zhang) Genus Periods, Genus Points and Congruent Number Problem, Asian J. Math. 21 (2017), no. 4, 721–773. [11] (with Tong Zhang) Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties, J. Reine Angew. Math. 736 (2018), 255–284. [12] (with Shou-Wu Zhang) On the averaged Colmez conjecture, Ann. of Math. (2) 187 (2018), no.2, 533–638.