Aleksander Horawa

collaborators

4 papers

math.NT2025

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.NT2025

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

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

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

math.NT2025

Gross's conjecture: the dihedral case

Petar BakiÄ, 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.

Motivic action for Siegel modular forms

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

Gross's conjecture: the dihedral case

Motivic action conjecture for Doi-Naganuma lifts

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