Alexandros Groutides

activity

20242026

most citedOn integral aspects of Asai periods and Euler systems for

Res_{E / Q} GL_{2}

1 citations · 1 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.NT2026

Local newforms, Paškūnas-Stevens Whittaker functions, and explicit test vectors for $GL (n) \times GL (n)$

Alexandros Groutides

Recently, Girsch-Kurinczuk have obtained new formulas for local newforms in depth-zero and minimax integral-depth cuspidal representations of $p$ -adic $GL (n)$ . One of thei…

math.NT2026

A note on toric periods in unramified families

Alexandros Groutides

Let $A$ be the algebra $C [X_{1}^{\pm 1}, X_{2}^{\pm 1}]$ and $Q (A)$ its quotient field. In this short article, we exhibit the correct normalization for the toric period on the…

math.NT2025

Euler systems for $GSp (4)$ over imaginary quadratic fields

Alexandros Groutides

We construct an Euler system attached to general-type cohomological cuspidal automorphic representations of $GSp (4)$ twisted by a Groessencharacter of an imaginary quadrat…

math.NT2025

Integrality of $GL_{2} \times GL_{2}$ Rankin-Selberg integrals for ramified representations

Alexandros Groutides

Let $π_{1}, π_{2}$ be irreducible admissible generic tempered representations of $GL_{2} (F)$ for some finite extension $F / Q_{p}$ of odd residue characteristic. Inspired by…

math.NT2024★ 1 cited

On integral aspects of Asai periods and Euler systems for $Res_{E / Q} GL_{2}$

Alexandros Groutides

Let $E / Q$ be a totally real quadratic field. Using unramified harmonic analysis in Hecke modules, we study the $ℓ$ -adic integral behavior of the (unramified part of the…

math.NT2024

On Rankin-Selberg integral structures and Euler systems for $GL_{2} \times GL_{2}$

Alexandros Groutides

We study how Rankin-Selberg periods and distinction problems interact with integral structures in spherical Whittaker type representations. Using this representation-theoretic fram…

math.NT2024

Integral structures in smooth $GL_{2} (Q_{p})$ -representations and zeta integrals

Alexandros Groutides

Using zeta-integrals and lattices of functions on a spherical variety, we study integral structures in spherical representations of $GL_{2} (Q_{p})$ and their interact…

Local newforms, Paškūnas-Stevens Whittaker functions, and explicit test vectors for GL(n)×GL(n)

A note on toric periods in unramified families

Euler systems for GSp(4) over imaginary quadratic fields

Integrality of GL2​×GL2​ Rankin-Selberg integrals for ramified representations

On integral aspects of Asai periods and Euler systems for ResE/Q​GL2​

On Rankin-Selberg integral structures and Euler systems for GL2​×GL2​

Integral structures in smooth GL2​(Qp​)-representations and zeta integrals

Local newforms, Paškūnas-Stevens Whittaker functions, and explicit test vectors for $GL (n) \times GL (n)$

Euler systems for $GSp (4)$ over imaginary quadratic fields

Integrality of $GL_{2} \times GL_{2}$ Rankin-Selberg integrals for ramified representations

On integral aspects of Asai periods and Euler systems for $Res_{E / Q} GL_{2}$

On Rankin-Selberg integral structures and Euler systems for $GL_{2} \times GL_{2}$

Integral structures in smooth $GL_{2} (Q_{p})$ -representations and zeta integrals