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: May 12, 2026). Status: 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 whenever I find typos. Current version: Fixed some typos and minor errors (see especially 1.10, 4.20, 4.32 and 4.57).
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2. (Joint work with Shengkai Mao) Canonical extensions of p-adic shtukas on toroidal compactifications of Shimura varieties. Status: draft available, 125 pages. To be posted 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: 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
2.2 Wuhan University, Mar. 20th, 2026
2.3 Capital Normal University, April 12th, 2026
Notes
Notes
1. (Joint work with Shengkai Mao) Some examples and counterexamples as supplements to number 2 in "Research" part. [PDF] (Date: April 25th, 2026) Not for publishing.
Contact
Email: wuph@pku.edu.cn