3 papers
math.RT2026
Beyond the Adams Conjecture
Alexander Hazeltine, Aarya Kumar, Andrew Tung
For symplectic and even orthogonal groups over a -adic field, we determine the number of local Arthur packets containing the local theta lift of a tempered representation at the…
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 -adic groups. More specifically, given a tempered extended multi…
math.NT2022
Integer Complexity Generalizations in Various Rings
Aarya Kumar, Siyu Peng, Vincent Tran
In this paper, we investigate generalizations of the Mahler-Popkens complexity of integers. Specifically, we generalize to -th roots of unity, polynomials over the naturals, and…