3 papers
math.NT2026
Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
Ãzlem Ejder, Zofia GoÅaska, Yasemin Kara +2
We study the arithmetic and geometric iterated monodromy groups associated to the postcritically finite (PCF) quadratic rational function defined over a nu…
math.NT2025
Intersections of Hecke correspondences on the modular varieties of -elliptic sheaves
Ãzge Ãlkem, Fu-Tsun Wei
This paper studies the intersections of Hecke correspondences on the modular varieties of -elliptic sheaves in the higher-rank setting, where is a "maxi…
math.GT2024
Mapping class groupoids and Thompson's groups
A. Muhammed UludaÄ, Mustafa Topkara, Ãzge Ãlkem +1
We introduce a groupoid ${\mathbf{Î MG}}}$, called the fundamental modular groupoid, which is a variant of Penner's mapping class groupoid. We study how it relates to the surface m…