Graduate Committee Chair
Professor of Mathematics
Number Theory, Automorphic Forms, Algebraic Geometry
Zhang received a BS from Peking University in 2004 and a PhD from Columbia University in 2009, both degrees in mathematics. After a postdoctoral fellowship and a Benjamin Pierce Fellowship at Harvard, he joined the mathematics faculty at Columbia University in 2011. He joins the MIT Department of Mathematics as a full professor in 2017. Zhang works in number theory, automorphic forms, and arithmetic geometry. His research program involves fundamental objects such as L-functions, which appear in the Riemann hypothesis and its generalizations, and are central to the Langlands program. He has been developing the theory of relative trace
formula to connect L-functions with algebro-geometric objects, notably the discovery of "arithmetic fundamental lemmas". In the function field case, he and Zhiwei Yun have discovered geometric interpretations for the higher
derivatives of L-functions. In another direction, Zhang and his collaborators have made significant advances on conjectures subsequent to the Gross--Zagier theorem on elliptic curves, including a proof of the Birch and Swinnerton-Dyer conjecture for approximately 66% of elliptic curves. Zhang received the 2010 SASTRA Ramanujan Prize, the Sloan Research Fellowship in 2013, Morningside Gold Medal of Mathematics at ICCM 2016, and a Simons Fellowship in 2017. In 2018, he will give an invited address at ICM 18 in Rio de Janeiro.