Smooth irreducible representations of tori over local fields have been parameterized by Langlands, using class field theory and Galois cohomology. This paper extends this parameterization to central… (More)

It is found that oxygen uptake by whole blood flowing in rectangular channels greatly excedes theoretical predictions, despite the fact that such predictions are accurate when used with other channel… (More)

We study the “Fourier-Jacobi” functor on smooth representations of split, simple, simply-laced p-adic groups. This functor has been extensively studied on the symplectic group, where it provides the… (More)

The space of elliptic modular forms of fixed weight and level can be identified with a space of intertwining operators, from a holomorphic discrete series representation of SL2(R) to a space of… (More)

In this paper, we study modular forms on two simply connected groups of type D4 over Q. One group, Gs, is a globally split group of type D4, viewed as the group of isotopies of the split rational… (More)

The local Langlands conjectures imply that to every generic supercuspidal irreducible representation of G2 over a p-adic field, one can associate a generic supercuspidal irreducible representation of… (More)

These are lecture notes, for a “modularity seminar”, and I make no claim to originality. I have attempted to give references, but these references do not necessarily reflect the history (I might… (More)

We generalize the methods of Moy-Prasad, in order to define and study the genuine depth zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we… (More)

In this paper, we study modular forms on two simply connected groups of type D4 over Q. One group, Gs, is a globally split group of type D4, viewed as the group of isotopies of the split rational… (More)