V. McDonald

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 $I ¨ $ 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 IvanÄiÄ, 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…

Non-admissibility of some universal supersingular representations

Infinitesimal characters for the completed cohomology of GLn​ over CM fields

Eigenvarieties over CM fields and trianguline representations

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