Naomi Sweeting

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math.NT2025

Gross's conjecture: the dihedral case

Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1

Quaternionic modular forms on $G_{2}$ carry a surprisingly rich arithmetic structure. For example, they have a theory of Fourier expansions where the Fourier coefficients ar…

math.NT2025

On the Bloch-Kato conjecture for some four-dimensional symplectic Galois representations

Naomi Sweeting

The Bloch-Kato conjecture predicts a far-reaching connection between orders of vanishing of $L$ -functions and the ranks of Selmer groups of $p$ -adic Galois representations. In this…

math.NT2024

Global long root $A$ -packets for $G_{2}$ : the dihedral case

Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1

Cuspidal automorphic representations $τ$ of $PGL_{2}$ correspond to global long root $A$ -parameters for $G_{2}$ . Using an exceptional theta lift between $\mathrm{PU}_…

Gross's conjecture: the dihedral case

On the Bloch-Kato conjecture for some four-dimensional symplectic Galois representations

Global long root A-packets for G2​: the dihedral case

Global long root $A$ -packets for $G_{2}$ : the dihedral case