Abstract Recently, Andreatta, Iovita and Pilloni constructed spaces of overconvergent
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …

We study the cohomology of families of-modules with coefficients in pseudoaffinoid
algebras. We prove that they have finite cohomology, and we deduce an Euler characteristic …

In this paper, we prove new results on the geometry of the cuspidal eigenvariety for
$\mathrm {GL} _ {2n} $ over a totally real number field $ F $ at classical points admitting …

We prove Riemann's theorems on extensions of functions over certain mixed characteristic
analytic adic spaces, first introduced by Johansson and Newton. We use these results to …

Let K be an imaginary quadratic field. In this article, we study the eigenvariety for GL 2/K,
proving an étaleness result for the weight map at non-critical classical points and a …

Let F be a totally real field and let p be an odd prime which is totally split in F. We define and
study one-dimensional 'partial'eigenvarieties interpolating Hilbert modular forms over F with …

ADIC MODULI SPACES A DISSERTATION SUBMITTED TO THE DEPARTMENT OF
MATHEMATICS AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD U Page 1 …

In this paper, we study 𝑝-adic endoscopy on eigenvarieties for SL 2 over totally real fields,
taking a geometric perspective. We show that non-automorphic members of endoscopic 𝐿 …

In this paper, we prove that a GL (2n)-eigenvariety is etale over the (pure) weight space at
non-critical Shalika points, and construct multi-variabled $ p $-adic $ L $-functions varying …

Let fnew be a classical newform of weight≥ 2 and prime to p level. We study the arithmetic
of fnew and its unique p‐stabilisation f when fnew is p‐irregular, that is, when its Hecke …