Alexander Hazeltine

activity

20222026

most citedOn the intersection of local Arthur packets for classical groups and applications

3 citations · 6 across the 16 of their papers we have counts for

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5 papers · 1 filter

math.RT2026

The intersection of local Arthur packets for even orthogonal groups and applications

Alexander Hazeltine, Baiying Liu, Chi-Heng Lo

We give algorithms to explicitly compute local Arthur packets and their intersections for even orthogonal groups $G_{n}$ over $p$ -adic fields using extended multi-segments. In additi…

math.RT2026

Beyond the Adams Conjecture

Alexander Hazeltine, Aarya Kumar, Andrew Tung

For symplectic and even orthogonal groups over a $p$ -adic field, we determine the number of local Arthur packets containing the local theta lift of a tempered representation at the…

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…