Shou-Wu Zhang

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Shou-Wu Zhang

Shou-Wu Zhang (born October 9, 1962 in Hexian , Anhui , China ) is a Chinese mathematician who studies number theory and arithmetic algebraic geometry. He is a professor at Princeton University .

From 1980 Zhang studied chemistry and then mathematics at Sun Yat-sen University (Guangdong) with a bachelor's degree in 1983. After completing his master's degree in 1986 at the Chinese Academy of Sciences, he studied with Lucien Szpiro at Columbia University and Gerd Faltings in Princeton and received his doctorate in 1991 under Szpiro at Columbia University ( Positive Line Bundles on Arithmetic Surfaces ). He was a member of the Institute for Advanced Study and from 1991 Assistant Professor at Princeton. In 1996 he became a professor at Columbia University and in 2011 at Princeton University.

He has also been Professor at Tsinghua University since 2000 and LK Hua Professor at the Chinese Academy of Sciences since 2001 .

In 1998, independently of Emmanuel Ullmo , he proved the Bogomolov conjecture, a generalization of the Manin-Mumford conjecture in number theory, and he even proved a generalization of the classic Bogomolov conjecture. He built on his theory of positive line bundles in Arakelov geometry. In addition, he generalized the theorem of Benedict Gross and Don Zagier (1986) about Heegner points of elliptical curves to Abelian varieties of type GL (2) over totally real number fields, which also makes him a special case of Birch and Swinnerton-Dyer's conjecture for these varieties delivered.

Zhang also made contributions to arithmetic dynamics with conjectures that point in the direction of a dynamic version of the Manin-Mumford conjecture.

Zhang also worked on attempting to prove the abc conjecture .

He was a Sloan Research Fellow and Guggenheim Fellow (2009), is a Fellow of the American Mathematical Society (2016) and the American Academy of Arts and Sciences (2011). In 2003 he was a Clay Prize Fellow . In 1998 he was one of the first mathematicians to receive the Morningside Gold Medal at the International Congress of Chinese Mathematicians (ICCM). He was invited speaker at the International Congress of Mathematicians in Berlin in 1998 ( Small points and Arakelov theory ).

Zhang Wei is one of his PhD students .

Fonts

  • Equidistribution of small points on abelian varieties, Annals of Mathematics, Volume 147, 1998, pp. 159-165
  • Gross-Zagier formual for GL2, Asian J. Math., Volume 5, 2001, pp. 183-290
  • Gross - Schoen cycles and Dualizing sheaves, Inventiones Mathematicae, Volume 179, 2010, pp. 1–73, Arxiv
  • with Xinyi Yuan: The Gross - Kohnen - Zagier Theorem over Totally Real Fields, Compositio Math., Volume 145, 2009, pp. 1147–1162.
  • Arithmetic of Shimura Curves, Science China, Mathematics, Volume 53, 2010, pp. 573-592
  • Distributions in algebraic dynamics, in: S.-T. Yau (Ed.), Differential Geometry: A Tribute to Professor S.-S. Chern., Surveys in Differential Geometry, Volume 10, 2006, pp. 381-430

Web links

Individual evidence

  1. ↑ Shou-Wu Zhang in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Zhang: Equidistribution of small points on abelian varieties, Annals of Mathematics, Volume 147, 1998, pp. 159-165
  3. ↑ Zhang, Gross-Zagier formual for GL2, Asian J. Math., Volume 5, 2001, pp. 183-290
  4. ^ Zhang: Distributions in algebraic dynamics, in: S.-T. Yau (Ed.), Differential Geometry: A Tribute to Professor S.-S. Chern., Surveys in Differential Geometry, Volume 10, 2006, pp. 381-430.
  5. ↑ Terry Tao's 2007 blog on Zhang's lecture: Triple L-series and effective Mordell conjecture
personal data
SURNAME Zhang, Shou-wu
BRIEF DESCRIPTION Chinese mathematician
DATE OF BIRTH October 9, 1962
PLACE OF BIRTH Hexian