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Zhiwei Yun

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Zhiwei Yun httpswwwpackardorgwpcontentuploads201310

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Towards a Springer Theory for Global Function Fields

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Wei Zhang, Peter Scholze, Robert MacPherson, Xinwen Zhu, Gerd Faltings

12 16 2016 zhiwei yun


Zhiwei Yun (Chinese: 恽之玮; pinyin: Yùn Zhīwěi; 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.

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As a high schooler, Yun participated in the International Mathematical Olympiad; he received a gold medal with a perfect score in 2000. 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.

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."

His collaborations with Wei Zhang, Xinyi Yuan and Xinwen Zhu have received attention in publications such as Quanta Magazine and Business Insider. 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."

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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

    Zhiwei Yun Wikipedia