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 …

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 …

Plectic points were introduced by Fornea and Gehrmann as certain tensor products of local
pointson elliptic curves over arbitrary number fields $ F $. In rank $ r\leq [F:\mathbb {Q}] …

We reduce the chromatic Iwasawa main conjecture for elliptic curves to the conjectured
existence of certain Beilinson–Flach classes in the supersingular case. This generalizes the …

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 …

In the present paper, we prove that the first homology group of Bianchi 3-fold is generated by
the special Bianchi modular symbols. Also, we construct the integral valued p-adic L …

Let $ p $ be an odd prime number. Let $ f $ be a normalized Hecke eigen-cuspform that is
non-ordinary at $ p $. Let $ K $ be an imaginary quadratic field in which $ p $ splits. We …

p-adic L-functions for non-critical adjoint L-values Page 1 p-adic L-functions for non-critical
adjoint L-values Pak Hin Lee Submitted in partial fulfillment of the requirements for the degree …