David C. Luo

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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.RT2026

Distinguished Simple Supercuspidal Representations of $p$ -adic $GL (n)$

David C. Luo

Let $E / F$ be a quadratic extension of non-archimedean local fields with odd residual characteristic. In this paper, we give equivalent conditions for a simple supercu…

math.RT2025

On the Local Langlands Functorial Transfer from $SO (5)$ to $GL (4)$

David C. Luo

Let $F$ be a non-archimedean local field of characteristic zero. We study the local Langlands functorial transfer from $SO (5, F)$ to $GL (4, F)$ f…

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…

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

Distinguished Simple Supercuspidal Representations of p-adic GL(n)

On the Local Langlands Functorial Transfer from SO(5) to GL(4)

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

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

Distinguished Simple Supercuspidal Representations of $p$ -adic $GL (n)$

On the Local Langlands Functorial Transfer from $SO (5)$ to $GL (4)$

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