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 …

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 …

In earlier work, the first named author generalized the construction of Darmon-style-
invariants for representations of definite unitary groups of arbitrary rank. Finally, we study the …

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 …

Let G be a reductive group over a number field F, which is split at a finite place 𝔭 of F, and let
π be a cuspidal automorphic representation of G, which is cohomological with respect to the …

The Asai (or twisted tensor) L-function of a Bianchi modular form Ψ is the L-function attached
to the tensor induction to ℚ of its associated Galois representation. When Ψ is ordinary at p …

We study Stark-Heegner cycles attached to Bianchi modular forms, that is automorphic forms
for GL (2) over an imaginary quadratic field F. The Stark-Heegner cycles are local …

Let f be a Bianchi modular form, that is, an automorphic form for GL (2) over an imaginary
quadratic field F, and let p be a prime of F at which f is new. Let K be a quadratic extension of …

In these expository notes, we give an introduction to $ p $-adic $ L $-functions and the
foundations of Iwasawa theory. Firstly, we give an (analytic) measure-theoretic construction …

Let $\pi $ be a cohomological cuspidal automorphic representation of PGL $ _2 $ over a
number field of arbitrary signature. Under the assumption that the local component of $\pi …