Xinwen Zhu

Xinwen Zhu (* 1982 in Chengdu , Sichuan ) is a Chinese mathematician who studies geometric representation theory and arithmetic and algebraic geometry.

Zhu received his bachelor's degree from Peking University in 2004 and received his PhD from the University of California, Berkeley , under Edward Frenkel in 2009 . He was then Benjamin Peirce Lecturer at Harvard University and Assistant Professor at Northwestern University . In 2014 he became Associate Professor and in 2016 Professor at the California Institute of Technology .

He researched both in the classical Langlands program (proof of the conjecture by Pappas and Rapoport , proof of a conjecture by Kottwitz about local models of Shimura varieties with George Pappas ) and in the geometric Langland program , which he applies to arithmetic algebraic geometry.

In 2013 he received an American Mathematical Society Centenial Fellowship and in 2015 he became a Sloan Research Fellow. In 2019 he received the Morningside Medal . For 2020 he was one of the recipients of the New Horizon in Mathematics Prize for work in arithmetic algebraic geometry, in particular Shimura varieties and the Riemann-Hilbert problem in p-adic varieties .

Fonts (selection)

• with Edward Frenkel: Any flat bundle on a punctured disc has an oper structure, Arxiv 2008
• with Denis Osipov: A categorical proof of the Parshin reciprocity laws on algebraic surfaces, Algebra & Number Theory, Volume 5, 2011, pp. 289–337, Arxiv
• with G. Pappas: Local models of Shimura varieties and a conjecture of Kottwitz, Invent. Math., Volume 194, 2013, pp. 147-254, Arxiv 2011
• On the coherence conjecture of Pappas and Rapoport, Annals of Mathematics, Volume 180, 2014, pp. 1-85, Arxiv
• An introduction to affine Grassmannians and the geometric Satake equivalence, PCMI Summer School 2015, Arxiv 2016
• with Ruochuan Liu: Rigidity and a Riemann-Hilbert correspondence for p-adic local systems, Arxiv 2016
• Geometric Satake, categorical traces, and arithmetic of Shimura varieties, in: Current Developments in Mathematics 2016, Arxiv 2018
• with An Huang, Bong H. Lian: Period integrals and the Riemann – Hilbert correspondence, J. Differential Geom., Volume 104, 2016, pp. 325–369, Arxiv 2013
• with Hsao-Hsien Chen: Geometric Langlands in prime characteristic, Compositio Math., Volume 153, 2017, pp. 395–452, Arxiv
• Affine Grassmannians and the geometric Satake in mixed characteristic, Annals of Mathematics, Volume 185, 2017, pp. 403-492, Arxiv
• with Hansheng Diao, Kai-Wen Lan, Ruochuan Liu: Logarithmic Riemann-Hilbert correspondences for rigid varieties, Arxiv 2018

Web links

• Website at Caltech
• Prime Numbers, Quantum Fields, and Donuts: An Interview with Xinwen Zhu , Caltech 2016
• Kevin Hartnett, Math Quartet Joins Forces on Unified Theory , Quanta Magazine, December 8, 2015

Individual evidence

1. ^ Breakthrough Prize , 2019