B. Savoie

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20222026

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math.RT2026

Higher mod $p$ Satake transforms: explicit formulas and images for $GL_{2}$

Hargun Bhatia, Yashi Jain, Casey Perdue +1

Heyer's left adjoint to derived parabolic induction gives rise to higher mod $p$ Satake transforms \[ \mathcal S_V^i: \mathcal H_G(V) \longrightarrow \mathcal H_M\bigl(H^i(K_U,V)\b…

math.NT2026

Infinitely many elliptic curves over $Q (i)$ of exact ranks 4 and 6 with $j$ -invariant 1728

Ben Savoie

For each $r \in {4, 6}$ , we construct an explicit one-parameter family of elliptic curves over $Q (i)$ containing infinitely many pairwise nonisomorphic curves genuinely def…

Higher mod p Satake transforms: explicit formulas and images for GL2​

Infinitely many elliptic curves over Q(i) of exact ranks 4 and 6 with j-invariant 1728

Higher mod $p$ Satake transforms: explicit formulas and images for $GL_{2}$

Infinitely many elliptic curves over $Q (i)$ of exact ranks 4 and 6 with $j$ -invariant 1728