Shaun Stevens

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math.RT2026

The Local Langlands Correspondence for Middle Supercuspidal Representations of $p$ -adic $GL (2 n)$

David C. Luo, Shaun Stevens

Let $F$ be a non-archimedean local field of characteristic zero with residual characteristic $p$ . In this paper we give an explicit description of the local Langlands corres…

math.RT2025

On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $GL (2 N, F)$

David C. Luo, Shaun Stevens

In this paper, we use type theory to construct a family of depth $\frac{1}{N}$ minimax supercuspidal representations of $GL (2 N, F)$ which we call middle supercuspidal repres…

math.RT2025

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods

Nadir Matringe, Vincent Sécherre, Shaun Stevens +1

For a non-Archimedean locally compact field $F$ of odd residue characteristic and characteristic $0$ , we prove a conjecture of D. Prasad predicting that, for an integer $n \geq 1$ …

math.RT2024

Reducibility points and characteristic $p$ local fields I- Simple supercuspidal representations of symplectic groups

Corinne Blondel, Guy Henniart, Shaun Stevens

Let $F$ be a non-Archimedean local field with odd characteristic $p$ . Let $N$ be a positive integer and $G = S p_{2 N} (F)$ . By work of Lomelí on $γ$ -factors of pairs and converse theor…

The Local Langlands Correspondence for Middle Supercuspidal Representations of p-adic GL(2n)

On the Local Converse Theorem for Depth N1​ Supercuspidal Representations of GL(2N,F)

Discrete series representations of quaternionic GLn​(D) with symplectic periods

Reducibility points and characteristic p local fields I- Simple supercuspidal representations of symplectic groups

The Local Langlands Correspondence for Middle Supercuspidal Representations of $p$ -adic $GL (2 n)$

On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $GL (2 N, F)$

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods

Reducibility points and characteristic $p$ local fields I- Simple supercuspidal representations of symplectic groups