Department of Math Room 619, University of Arizona, Tucson, AZ
E-mail: napoleonw528[at]arizona.edu
I am a fourth-year math PhD student at the University of Arizona working with Serin Hong. Here is my CV .
My research interests include Galois deformations, local systems, and Hodge structures.
I am based in Seattle for Fall 2026 and will visit the Bay Area and the East Coast for several weeks. Please feel free to reach out!
Graduate Research: (please see my CV for undergrad research)
Arithmetic extension strata on relative Fargues-Fontaine curves (draft; preprint will be up soon)
Explicit Serre-Tate local coordinates of hyperspecial level Shimura varieties (preprint in progress, expected before November)
Motivated by a request from Serin Hong and Alex Youcis to make their existential proofs computable, we develop explicit coordinate descriptions for Serre-Tate deformations of hyperspecial level Shimura varieties upto abelian type (and potentially exceptional types). This work grounds the Serre-Tate theories of Hong, Shankar-Zhou, Imai-Kato-Youcis, and Madapusi-Youcis into entrywise formulas.
We are exploring applications of our display gauge normal form to generalize the foliation of central leaves to exceptional types (prompted by a question from Ananth Shankar), and to compute closed forms of stabilizer actions in the deformation of formal groups.
Online Number Theory Learning Seminars
This series began as a casual reading group in Summer 2025 and continued for three terms. I have had to stop running it for now due to a busy schedule.
At some point in the future, I will potentially organize a joint seminar for students (and maybe postdocs) from different institutes to talk about their (partial) results or what they are currently thinking about, as a way for young people to know what people at other places are working on.
UA Grad ANT Seminar, UA Grad Colloquium
I maintain the seminar websites and help coordinate guest lectures.