Zachary D. Feng

activity

20222026

collaborators

3 papers

math.NT2026

Non-admissibility of some universal supersingular representations

Zachary Feng, Heejong Lee, Ray Li +2

Let $K / Q_{p}$ be an unramified extension of degree $f$ with residue field $k$ . Let $σ$ be an irreducible representation of $GL_{n} (k)$ over $F_{p}$ .…

math.NT2025

Irreducibility of polarized automorphic Galois representations in infinitely many dimensions

Zachary Feng, Dmitri Whitmore

Let $π$ be a polarized, regular algebraic, cuspidal automorphic representation of $GL_{n} (A_{F})$ where $F$ is totally real or imaginary CM, and let $(ρ_{λ})_{λ}$ b…

math.NT2022

A lower bound on the proportion of modular elliptic curves over Galois CM fields

Zachary Feng

We calculate an explicit lower bound on the proportion of elliptic curves that are modular over any Galois CM field not containing $ζ_{5}$ . Applied to imaginary quadratic fields, thi…