Let $(\pi,X)$ be a depth-$0$ admissible smooth complex representation of a $p$-adic
reductive group that splits over an unramified extension. In this paper we develop the theory …

Adiabatic quantum computing has recently been used to factor 56153 [Dattani & Bryans,
arXiv:1411.6758] at room temperature, which is orders of magnitude larger than any number …

In this thesis we study an important invariant attached to admissible smooth representations
of a reductive p-adic group G called the wave- front set. Our main contribution is the study of …

The wavefront set is a fundamental invariant of an admissible representation arising from the
Harish-Chandra-Howe local character expansion. In this paper, we give a precise formula …

Let ${\textsf k}$ be a $p$ -adic field, and let $\textbf {G}({\textsf k})$ be the ${\textsf k}$ -points
of a connected reductive group, inner to split. The set of Aubert–Zelevinsky duals of the …

Weak Arthur packets have long been instrumental in the study of the unitary dual and
automorphic spectrum of reductive Lie groups, and were recently introduced in the p-adic setting …

We generalise Gelfand–Graev characters to R / Z $\mathbb {R}/\mathbb {Z}$ ‐graded Lie
algebras and lift them to produce new test functions to probe the local character expansion in …

We compute the stable wave front set of theta representations for certain tame Brylinski-Deligne
covers of a connected reductive $p$-adic group. The computation involves two main …

Quantum annealing has recently been used to determine the Ramsey numbers R(m,2) for 3
< m < 9 and R(3,3) [Bian et al. (2013) PRL 111, 130505]. This was greatly celebrated as the …

We prove that the double (or canonical unramified) wavefront set of an irreducible depth-0
supercuspidal representation of a reductive p-adic group is a singleton provided p> 3 (h− 1), …