We prove the Ramanujan and Sato-Tate conjectures for Bianchi modular forms of weight at
least 2. More generally, we prove these conjectures for all regular algebraic cuspidal …

Let GG be a connected reductive group over QQ such that G= G/Q _p G= G/Q p is quasi-split,
and let Q ⊂ GQ⊂ G be a parabolic subgroup. We introduce parahoric overconvergent …

Since Rob Pollack and Glenn Stevens used overconvergent modular symbols to construct p-
adic L-functions for non-critical slope rational modular forms, the theory has been extended …

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 …

The construction and study of p-adic analytic L-functions for elliptic modular forms has been
extensively studied by several authors using different approaches. In [14] the authors …

We construct a Hecke-equivariant pairing on the overconvergent cohomology of Bianchi
threefolds. Applying the strategy of Kim and Bella\" iche, we use this pairing to construct $ p …

Let $ f $ be a Bianchi modular form, that is, an automorphic form for $\mathrm {GL} _2 $ over
an imaginary quadratic field $ F $. In this paper, we prove an exceptional zero conjecture in …

Let K be an imaginary quadratic field with class number 1, in this paper we obtain the
functional equation of the p-adic L-function of small slope p-stabilised Bianchi modular …

Let $ F $ be a number field, and $\pi $ a regular algebraic cuspidal automorphic
representation of $\mathrm {GL} _N (\mathbb {A} _F) $ of symplectic type. When $\pi $ is …

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 …