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 Columbia University.

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.”^[1] In 2013, Zhang received a Sloan fellowship; in 2016, Zhang was awarded the gold Morningside Medal of Mathematics.^[2][3]

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.^[4]

His collaborations with Zhiwei Yun, Xinyi Yuan and Xinwen Zhu have received attention in publications such as Quanta Magazine and Business Insider.^[5][6] 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."

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", Ann. of Math. 180 (2014), No. 3, 971-1049.
• "Selmer groups and the indivisibility of Heegner points", Cambridge Journal of Math., 2 (2014), No. 2, 191-253.
• (with Michael Rapoport, Ulrich Terstiege) "On the Arithmetic Fundamental Lemma in the minuscule case", Compositio Math. 149 (2013), no. 10, 1631-1666.
• (with Xinyi Yuan, Shou-Wu Zhang) "The Gross-Kohnen-Zagier theorem over totally real fields", Compositio Math. 145 (2009), no. 5, 1147-1162.
• (with Xinyi Yuan, Shou-Wu Zhang) "The Gross-Zagier formula on Shimura curves", Annals of Math. 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", preprint.
• (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