The 2020 New Horizons in Mathematics Prize recognized Xinwen Zhu for his specific contributions to arithmetic algebraic geometry. Born in 1982 in Chengdu, China, Zhu focuses his research on the Langlands program, connecting number theory with algebraic geometry and quantum physics. He currently serves as a professor after a career path spanning several major research institutions.
Academic Formation
Zhu earned an A.B. in mathematics from Peking University in 2004. He subsequently moved to the University of California, Berkeley, where he completed his Ph.D. in 2009 under the supervision of Edward Frenkel. His early doctoral research included studies on affine Demazure modules and T-fixed point subschemes.
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Following his doctoral studies, Zhu held an academic position at Northwestern University. He joined the faculty of the California Institute of Technology in 2014. His professional path continued to Stanford University, where he currently holds a professorship. Throughout his career, he has frequently collaborated with mathematicians including Wei Zhang, Xinyi Yuan, and Zhiwei Yun.
Research and Methodology
Zhu investigates the geometry and topology of flag varieties of loop groups. His publications explore the geometric Langlands program and its applications to arithmetic geometry. Notable papers include his work on the coherence conjecture of Pappas and Rapoport, published in Annals of Mathematics in 2014, and his 2017 analysis of affine Grassmannians in mixed characteristic.
Professional Recognition
The mathematical community has awarded Zhu several honors throughout his career. In 2013, he received an AMS Centennial Fellowship, followed by a Sloan Fellowship in 2015. He was awarded the Morningside Medal in 2019 alongside Zhiwei Yun. His work on the Riemann-Hilbert problem for p-adic varieties and Shimura varieties led to the 2020 New Horizons in Mathematics Breakthrough Prize.
Fast facts
- Born: 1982, Chengdu, People's Republic of China
- Education: Peking University, University of California, Berkeley
- 2020 Award: New Horizons in Mathematics Prize
- Key Field: Applied Mathematics
- Languages: English, Chinese
Questions readers ask
What is the primary focus of Xinwen Zhu's research?
His research centers on geometric representation theory, particularly the Langlands program, linking number theory, algebraic geometry, and quantum physics.
Which universities have employed Xinwen Zhu?
He has held academic positions at Northwestern University, the California Institute of Technology, and Stanford University.
Achievements
- New Horizons in Mathematics Prize — 2020
- Held posts at California Institute of Technology, Northwestern University and Stanford University
