Aleksander Horawa

collaborators

4 papers

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

Motivic action conjecture for Doi-Naganuma lifts

Aleksander Horawa, Yingkun Li

We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.

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}_…

math.NT2024

Balanced triple product $p$ -adic $L$ -functions and Stark points

Luca Dall'Ava, Aleksander Horawa

Let $E$ be an elliptic curve over $Q$ and $ϱ_{1}, ϱ_{2} : Gal (H / Q) \to GL_{2} (L)$ be two odd Artin representations. We use $p$ -adic m…

Gross's conjecture: the dihedral case

Motivic action conjecture for Doi-Naganuma lifts

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

Balanced triple product p-adic L-functions and Stark points

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

Balanced triple product $p$ -adic $L$ -functions and Stark points