Zachary Porat

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20202026

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math.NT2026

On the cuspidal cohomology of Iwahori congruence subgroups of $SL (3, Z)$

Zachary Porat

We investigate automorphic forms for congruence subgroups of $SL (3, Z)$ that are Iwahori at $p$ . In particular, we study the cuspidal cohomology of Iwahori congru…

math.NT2026

Distinguishing elliptic curves modulo $p$ and identifying images of product representations

Jessica Bennett, Jeffrey Hatley, Sasha Kononova +3

Given two elliptic curves defined over $Q$ and a rational prime $p$ , we study the product of their residual Galois representations. Using Goursat's lemma, we explicitly en…

math.NT2024

Computations directly on the cuspidal cohomology of congruence subgroups of $SL (3, Z)$

Zachary Porat

Ash, Grayson, and Green [J. Number Theory 19 (1984), pp. 412-436] compute the action of Hecke operators on a certain subspace of the cohomology of low-level congruence subgroups of…

On the cuspidal cohomology of Iwahori congruence subgroups of SL(3,Z)

Distinguishing elliptic curves modulo p and identifying images of product representations

Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,Z)

On the cuspidal cohomology of Iwahori congruence subgroups of $SL (3, Z)$

Distinguishing elliptic curves modulo $p$ and identifying images of product representations

Computations directly on the cuspidal cohomology of congruence subgroups of $SL (3, Z)$