Xinyu Zhou's Homepage

Me and a very tall cactus at AWS 2025.

Hi, my name is Xinyu Zhou. I am a PhD student at Boston University. My main interest is arithmetic geometry. Recently, I am more focusing on some problems in p-adic geometry and the geometry of moduli spaces of shtukas.

My Email Address is xyz6 (at) bu.edu
My office is CDS 345.

CV: Link

Seminar:

Learning Seminar on Prismatic Cohomology

BUNTES 2024: Automorphic Representations

Notes:

Here are some notes I wrote.
Intersection Theory. These notes give introductions to Chern classes and Segre classes on schemes.
Brauer-Manin Obstructions. This is the note for the STAGE talk at MIT on the étale Brauer obstructions and insufficiencies.
Formal Vanishing Cycles. These are the notes for my talk at a learning seminar on Scholze's proof of Local Langlands for \(GL_n\). I discussed some basic properties of formal vanishing cycles and deformation spaces of divisible modules.
Verdier duality. Introduction to Verdier duality
Ramanujan-Petersson Conjecture--Part 1. An introduction to the Ramanujan-Petersson conjecture.
Introduction to divided power structures. Elementary. It has a detailed example of non-uniqueness of PD structures. So it may be helpful if you are looking for examples.

Useful Links:

World's cutest animals.
Memorial article for Rosa the sea otter on New York Times.
A shtuka with two paws.

There is only one really serious philosophical question, and that is suicide. -Camus

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