Aleksander Horawa

activity

20202025

most citedMotivic action on coherent cohomology of Hilbert modular varieties

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 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…

math.NT2023

Motivic action for Siegel modular forms

Aleksander Horawa, Kartik Prasanna

We study the coherent cohomology of automorphic sheaves corresponding to Siegel modular forms $f$ of low weight on $GSp (4)$ Shimura varieties. Inspired by the work of Prasann…

math.NT2020★ 2 cited

Motivic action on coherent cohomology of Hilbert modular varieties