Stephen Debacker

activity

20042022

most citedStability of character sums for positive-depth, supercuspidal representations

7 citations · 13 across the 4 of their papers we have counts for

collaborators

Showing math.RTShow all

3 papers · 1 filter

math.RT2022

Parameterizing Conjugacy Classes of Unramified Tori via Bruhat-Tits Theory

Stephen DeBacker

Suppose $k$ is a nonarchimedean local field, $K$ is a maximally unramified extension of $k$ , and $G$ is a connected reductive $k$ -group. In this paper we provide parameter…

math.RT2013★ 7 cited

Stability of character sums for positive-depth, supercuspidal representations

Stephen DeBacker, Loren Spice

We re-write the character formulæ of Adler and the second-named author in a form amenable to explicit computations in $p$ -adic harmonic analysis, and use them to prove the stabilit…

math.RT2010★ 6 cited

Supercuspidal characters of $SL_{2}$ over a $p$ -adic field

Jeffrey D. Adler, Stephen DeBacker, Paul J. Sally +1

The character formulas of Sally and Shalika are an early triumph in $p$ -adic harmonic analysis, but, to date, the calculations underlying the formulas have not been available. In t…

Parameterizing Conjugacy Classes of Unramified Tori via Bruhat-Tits Theory

Stability of character sums for positive-depth, supercuspidal representations

Supercuspidal characters of SL2​ over a p-adic field

Supercuspidal characters of $SL_{2}$ over a $p$ -adic field