Zahra Mohammadi Khangheshlaghi

collaborators

3 papers

math.LO2026

Ampleness in the Farey graph

Zahra Mohammadi Khangheshlaghi, Rizos Sklinos

We show that the first-order theory of the Farey graph is $1$ -ample but not $2$ -ample. Along the way, we prove that it weakly eliminates imaginaries and observe that forking is tri…

math.GR2026

On the model theory of the Free Factor Complex of rank 2

Zahra Mohammadi Khangheshlaghi, Katrin Tent

We begin the investigation of the free factor complex of a free group of finite rank. For the case of rank 2 we axiomatize its theory and show that it is $ω$ -stable with prime mode…

math.LO2025

On the model theory of the Farey graph

Zahra Mohammadi Khangheshlaghi, Katrin Tent

We axiomatize the theory of the Farey graph and prove that it is $ω$ -stable of Morley rank $ω$ .