Hi! My name is Peihang Wu (吴沛航). I am currently a postdoc at Beijing International Center for Mathematical Research (BICMR), Peking University. Before coming to BICMR, I received my Ph.D degree in August 2024 at the University of Minnesota (advisor: Kai-Wen Lan). Before that, I was an undergraduate student at Fudan University.
I am interested in number theory and related topics. Currently, I am thinking about problems related to integral models of Shimura varieties and their compactifications.
Here is my CV (last updated: Nov. 24th, 2025).
Photo taken in January 2024, the frozen Minnehaha Falls
Research
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1. Arithmetic compactifications of integral models of Shimura varieties of abelian type.
[arXiv:2505.09135] [PDF] (last updated: Feb. 16th, 2026). Status: preprint submitted.
more information
This is essentially a "major revision" of my PhD thesis (submitted in August 2024) with the same title but significantly improved main results. A sequel to it is in preparation. The PDF version above is more up-to-date than the one on arXiv, and I will update every month. Current version: Fixed some typos and errors (see especially 1.10, 4.20 and 4.32).
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2. (Joint work with Shengkai Mao) Canonical extensions of p-adic shtukas on toroidal compactifications of Shimura varieties. Status: in preparation, coming soon!
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3. Principal bundles on toroidal compactifications of integral canonical models of abelian-type Shimura varieties.
[arXiv:2601.07720] [PDF] (last updated: Jan. 18th, 2026). Status: preprint submitted.
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Talks
1. Compactifications of integral models of Shimura varieties of abelian type.
1.1 Morningside Center of Mathematics, Oct. 29 & 31, 2024
1.2 BICMR postdoc seminar, April 7th, 2025
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2. Canonical extensions of p-adic shtukas on compactifications
2.1 Zhejiang University, Dec. 3rd, 2025
Contact
Email: wuph@pku.edu.cn