Xinwen Zhu
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Xinwen Zhu (Chinese: 朱歆文; born 1982 in Sichuan) is a Chinese mathematician and professor at Stanford University. His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics.[1][2]
Biography
[edit]Zhu obtained his A.B. in mathematics from Peking University in 2004 and his Ph.D. in mathematics from the University of California, Berkeley in 2009 under the direction of Edward Frenkel.[1] He taught at Harvard University as a Benjamin Peirce Lecturer and at Northwestern University as an assistant professor before joining the Caltech faculty in 2014. According to the American Mathematical Society, "[Zhu] studies the geometry and topology of flag varieties of loop groups and applies techniques from the geometric Langlands program to arithmetic geometry."[3]
The awards Zhu has received include an AMS Centennial Fellowship in 2013 and a Sloan Fellowship in 2015.[4] His research has been published in Annals of Mathematics and Inventiones mathematicae, among other mathematics journals. Zhu, Wei Zhang, Xinyi Yuan and Zhiwei Yun are frequent collaborators.[5] In 2019 he received the Morningside Medal jointly with Zhiwei Yun.[6] Zhu won the 2020 New Horizons in Mathematics Breakthrough Prize "For work in arithmetic algebraic geometry including applications to the theory of Shimura varieties and the Riemann-Hilbert problem for p-adic varieties."
Publications (selected)
[edit]- (with Edward Frenkel) "Gerbal Representations of Double Loop Groups", International Mathematics Research Notices 2012 (2012), No. 17, 3929–4013.
- (with George Pappas]) "Local models of Shimura varieties and a conjecture of Kottwitz", Inventiones mathematicae 194 (2013), No. 1, 147–254.
- "On the coherence conjecture of Pappas and Rapoport", Annals of Mathematics 180 (2014), No. 1, 1–85.
- (with Denis Osipov) "A categorical proof of the Parshin reciprocity laws on algebraic surfaces", Algebra & Number Theory 5 (2011), No. 3, 289–337.
- "Affine Demazure modules and T-fixed point subschemes in the affine Grassmannian", Advances in Mathematics 221 (2009), No. 2, 570–600.
- "Affine Grassmannians and the geometric Satake in mixed characteristic", Annals of Mathematics 185 (2017), No. 2, 403–492.
- (with Edward Frenkel) "Any flat bundle on a punctured disc has an oper structure", Mathematical Research Letters 17 (2010), no. 1, 27–37.
- "The geometric Satake correspondence for ramified groups", Annales Scientifiques de l'École Normale Supérieure 48 (2015), no. 2, 409–451.
- (with Zhiwei Yun) "Integral homology of loop groups via Langlands dual groups", Representation Theory 15 (2011), 347–369.
- (with An Huang, Bong H. Lian) "Period integrals and the Riemann–Hilbert correspondence", Journal of Differential Geometry 104 (2016), No. 2, 325–369.
- (with Tsao-Hsien Chen) "Geometric Langlands in prime characteristic", Compositio Mathematica 153 (2017), No. 2, 395–452.
References
[edit]- ^ a b "Prime Numbers, Quantum Fields, and Donuts: An Interview with Xinwen Zhu", Caltech. Retrieved on 3 December 2016.
- ^ 北大数学校友创新合作: 统一数论与几何 [New collaboration among Peking University mathematics alumni: unifying number theory and geometry]. Peking University. 15 December 2015. Retrieved 7 August 2017.
- ^ "Mathematics People", Notices of the AMS. Retrieved on 3 December 2016.
- ^ "Caltech Professors Awarded 2015 Sloan Fellowships", Caltech. Retrieved on 3 December 2016.
- ^ "Math Quartet Joins Forces on Unified Theory", Quanta Magazine. Retrieved on 3 December 2016.
- ^ Morningside Medal 2019
- Living people
- California Institute of Technology faculty
- Chinese expatriates in the United States
- Educators from Sichuan
- Harvard University Department of Mathematics faculty
- Mathematicians from Sichuan
- Northwestern University faculty
- Peking University alumni
- Sloan Research Fellows
- UC Berkeley College of Letters and Science alumni