Motivated by the Langlands program in representation theory, number theory, and geometry,
the theory of representations of a reductive p-adic group, originally in complex vector …

Let F/Fo be a quadratic extension of non-archimedean locally compact fields of odd residual
characteristic and σ be its non-trivial automorphism. We show that any σ-self-dual cuspidal …

We introduce a new invariant, the conductor exponent, of a generic irreducible Casselman–
Wallach representation of over number fields. By-products of the proofs include new proofs …

After extending the theory of Rankin–Selberg local factors to pairs of ℓ ℓ-modular
representations of Whittaker type, of general linear groups over a non-Archimedean local …

Motivated by the Langlands program in representation theory, number theory and geometry,
the theory of representations of a reductive $ p $-adic group over a coefficient ring different …

We introduce a new invariant, the conductor exponent, of a generic irreducible Casselman–
Wallach representation of GLn that quantifies the extent to which this representation may be …

We show that certain products of Whittaker functions and Schwartz functions on a general
linear group extend to Whittaker functions on a larger general linear group. This generalizes …

We consider newform vectors in cuspidal representations of p-adic general linear groups.
We extend the theory from the complex setting to include i-modular representations with i ̸ …

We introduce a new invariant, the conductor exponent, of a generic irreducible Casselman-
Wallach representation of $\mathrm {GL} _n $ that quantifies the extent to which this …

Let $ E/F $ be a quadratic extension of non-archimedean local fields, and let $\ell $ be a
prime number different from the residual characteristic of $ F $. For a complex cuspidal …