Wei Zhang (mathematician)

Wei Zhang or Zhang Wei (Chinese: 张伟; born 1981) is a Chinese mathematician specializing in number theory. He is currently a Professor of Mathematics at the Massachusetts Institute of Technology^[1].

He was a recipient of the SASTRA Ramanujan Prize in 2010, for "far-reaching contributions by himself and in collaboration with others to a broad range of areas in mathematics, including number theory, automorphic forms, L-functions, trace formulas, representation theory, and algebraic geometry.”^[2] In 2013, Zhang received a Sloan fellowship; in 2016, Zhang was awarded the gold Morningside Medal of Mathematics.^[3][4] In 2017, Zhang was awarded the New Horizons in Mathematics Breakthrough Prize.

Zhang earned his B.S. in Mathematics from Peking University in 2004 and his Ph.D. from Columbia University in 2009 under the supervision of Shou-Wu Zhang.^[5]

His collaborations with Zhiwei Yun, Xinyi Yuan and Xinwen Zhu have received attention in publications such as Quanta Magazine and Business Insider.^[6][7] In particular, his work with Zhiwei Yun on the Taylor expansion of L-functions is "already being hailed as one of the most exciting breakthroughs in an important area of number theory in the last 30 years."

In December 2017, he was awarded 2018 New Horizons In Mathematics Prize together with Zhiwei Yun, Aaron Naber and Maryna Viazovska.

Publications (selected)

• "Automorphic period and the central value of Rankin-Selberg L-function", J. Amer. Math. Soc. 27 (2014), 541-612.
• "On arithmetic fundamental lemmas", Invent. Math., 188 (2012), No. 1, 197-252.
• "Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups", Annals of Mathematics 180 (2014), No. 3, 971-1049.
• "Selmer groups and the indivisibility of Heegner points", Cambridge Journal of Mathematics 2 (2014), no. 2, 191-253.
• (with Michael Rapoport, Ulrich Terstiege) "On the Arithmetic Fundamental Lemma in the minuscule case", Compositio Mathematica 149 (2013), no. 10, 1631-1666.
• (with Xinyi Yuan, Shou-Wu Zhang) "The Gross-Kohnen-Zagier theorem over totally real fields", Compositio Mathematica 145 (2009), no. 5, 1147-1162.
• (with Xinyi Yuan, Shou-Wu Zhang) "The Gross-Zagier formula on Shimura curves", Annals of Mathematics Studies vol. 184, Princeton University Press, 2012.
• (with Manjul Bhargava, Christopher Skinner) "A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture", preprint.
• (with Zhiwei Yun]) "Shtukas and the Taylor expansion of L-functions", Annals of Mathematics 186 (2017), No. 3, 767-911.
• (with Xinyi Yuan, Shou-Wu Zhang) "Triple product L-series and Gross-Kudla-Schoen cycles", preprint.
• (with Yifeng Liu, Shou-Wu Zhang) "On p-adic Waldspurger formula", preprint.

References