V. McDonald

activity

20182026

collaborators

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5 papers · 1 filter

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.NT2026

Infinitesimal characters for the completed cohomology of $GL_{n}$ over CM fields

Jelena Ivančić, Vaughan McDonald

Let $p$ be a prime, and let $F$ be a CM field containing an imaginary quadratic field in which $p$ splits. We show that the locally analytic vectors of Hecke eigenspaces in the ($p…

math.NT2025

Eigenvarieties over CM fields and trianguline representations

Vaughan McDonald

We show that the Galois representations associated to points on certain (derived) eigenvarieties for $GL_{n}$ over a CM field are trianguline with the expected Sen wei…

math.NT2019

Möbius formulas for densities of sets of prime ideals

Michael Kural, Vaughan McDonald, Ashwin Sah

We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if $K$ is a number field and $S$ is any…

math.NT2019

Primes with Beatty and Chebotarev conditions

Caleb Ji, Joshua Kazdan, Vaughan McDonald

We study the prime numbers that lie in Beatty sequences of the form $⌊ α n + β ⌋$ and have prescribed algebraic splitting conditions. We prove that the density of primes…