Department of Math Room 619, University of Arizona, Tucson, AZ
E-mail: napoleonw528[at]arizona.edu
I am a third-year math PhD student at the University of Arizona working with Prof. Serin Hong. Here is my CV .
I am interested in the p-adic geometric Langlands program in the sense of Fargues–Scholze. I am currently working to understand the geometry of the stack Bun_G of G-torsors on the relative Fargues–Fontaine curve over perfectoid fields.
Graduate Research: (please see my CV for undergrad research)
Classification of vector bundles on the relative Fargues-Fontaine curve (In preparation)
Building on Kedlaya-Liu's work on relative p-adic Hodge theory, I generalize the classification of vector bundles by Birkbeck et al. to the relative Fargues-Fontaine curve over a non-algebraically closed perfectoid field base. In particular, I construct a loosened correspondence between an adapted version of Harder–Narasimhan polygons in families and vector bundles on the relative curve, overcoming difficulties specific to the relative setting.
Online Number Theory Learning Seminars
It is a series of online learning seminars I am organizing, which began as a casual reading group in Summer 2025.