Zhiwei Yun

Zhiwei Yun (Chinese: 恽之玮; pinyin: Yùn Zhīwěi;^[1] born 1982 in Changzhou, China) is a Professor of Mathematics in Yale University specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program. Before moving to Yale University in 2016, he held assistant and associate professorships at Stanford University from 2012 to 2016 and was a C. L. E. Moore instructor at Massachusetts Institute of Technology from 2010 to 2012.

As a high schooler, Yun participated in the International Mathematical Olympiad; he received a gold medal with a perfect score in 2000.^[2] Yun received his bachelor's degree from Peking University in 2004. In 2009, he received his Ph.D. from Princeton University in 2009, under the direction of Robert MacPherson.^[3][4]

Yun was awarded the SASTRA Ramanujan Prize in 2012 for his "fundamental contributions to several areas that lie at the interface of representation theory, algebraic geometry and number theory."^[5]

His collaborations with Wei Zhang, Xinyi Yuan and Xinwen Zhu have received attention in publications such as Quanta Magazine and Business Insider.^[6][7] In particular, his work with Wei Zhang 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)

• "Galois representations attached to moments of Kloosterman sums and conjectures of Evans", Compositio Math. 151 (2015), no. 1, 68-120.
• (with Davesh Maulik) "Macdonald formula for curves with planar singularities", J. Reine Angew. Math. 694 (2014), 27-48.
• "Motives with exceptional Galois groups and the inverse Galois problem", Invent. Math. 196 (2014), no. 2, 267-337.
• (with R.Bezrukavnikov) "On Koszul duality for Kac-Moody groups", Represent. Theory 17 (2013), 1-98.
• (with Bao-Chau Ngo, Jochen Heinloth) "Kloosterman sheaves for reductive groups", Ann. of Math. 177 (2013), no.1, 241-310.
• Langlands duality and global Springer theory, Compositio Math. 148 (2012), no.3, 835-867.
• "Global Springer Theory", Advances in Math. 228 (2011), 266-328.
• "The fundamental lemma of Jacquet and Rallis", Duke Math. J. 156 (2011), no. 2, 167-227.
• "Weights of mixed tilting sheaves and geometric Ringel duality", Selecta Math. (N.S.) 14 (2009), no. 2, 29-320
• (with Alexei Oblomkov) "Geometric representations of graded and rational Cherednik algebras", Advances in Math. 92 (2016), 601-706.
• (with Wei Zhang) "Shtukas and the Taylor expansion of L-functions", preprint.

References