We study $p$-adic families of cohomological automorphic forms for ${\mathrm{GL}}(2)$ over imaginary quadratic fields and prove that families interpolating a Zariski-dense set of classical cuspidal automorphic forms only occur under very restrictive conditions. We show how to computationally determine when this is not the case and establish concrete examples of families interpolating only finitely many Bianchi modular forms.
Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity
On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
Representing Primes as the Form $x^2+ny^2$ in Some Imaginary Quadratic Fields
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