Alexander Hazeltine

activity

20242026

collaborators

6 papers

math.RT2026

Algorithms on the Pyasetskii involution on local Langlands parameters of classical groups

Alexander Hazeltine, Chi-Heng Lo

We give an algorithm to compute the Pyasetskii involution for $Sp_{2 n}$ , $SO_{2 n + 1}$ and $O_{2 n}$ . The algorithm is a combination of Moeglin-Waldspurger'…

math.NT2026

Functoriality and the theta correspondence

Alexander Hazeltine

We study the functoriality of the local theta correspondence for classical $p$ -adic groups. This is realized via the adaptation of the Adams conjecture to ABV-packets. We provide e…

math.RT2026

On Arthur packets containing a fixed tempered representation

Alexander Hazeltine, Aarya Kumar, Andrew Tung

We determine the number of local Arthur packets containing a certain fixed tempered representation for classical $p$ -adic groups. More specifically, given a tempered extended multi…

math.RT2025

A local converse theorem for quasi-split even special orthogonal groups

Alexander Hazeltine

We give a direct proof of the local converse theorem for quasi-split non-split $SO_{2 l}$ over a local non-Archimedean field of characteristic $p \neq = 2$ , applying the theor…

math.RT2025

A converse theorem for quasi-split even special orthogonal groups over finite fields

Alexander Hazeltine

We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer auto…

math.RT2024

On Arthur representations and the unitary dual

Alexander Hazeltine, Dihua Jiang, Baiying Liu +2

In this paper, we propose a new conjecture describing the structure of the unitary dual in terms of Arthur representations for connected reductive algebraic groups defined over any…