Wei Zhang (mathematician)

Wei Zhang or Zhang Wei (Chinese: 张伟; born 1981) is a Chinese mathematician specializing in number theory, with additional research interests in . 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, trade 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

1. Notices of the AMS, January 2011, American Mathematical Society.
2. Wei Zhang CV, September 2016.
3. "Wei Zhang awarded the 2016 ICCM Morningside Gold Medal", Columbia University. Published 18 August 2016.
4. "Wei Zhang", Mathematics Genealogy Project.
5. "Math Quartet Joins Forces on Unified Theory", Quanta Magazine. Retrieved on 4 December 2016.
6. "Math Quartet Joins Forces on Unified Theory", Business Insider. Retrieved on 4 December 2016.