4 papers
Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
Özlem Ejder, Zofia Gołaska, 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…
Intersections of Hecke correspondences on the modular varieties of -elliptic sheaves
Özge Ülkem, 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…
Power values of power sums: a survey
Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2
Research on power values of power sums has gained much attention of late, partially due to the explosion of refinements in multiple advanced tools in (computational) Number Theory…
Mapping class groupoids and Thompson's groups
A. Muhammed Uludağ, Mustafa Topkara, Özge Ülkem +1
We introduce a groupoid ${\mathbf{ΠMG}}}$, called the fundamental modular groupoid, which is a variant of Penner's mapping class groupoid. We study how it relates to the surface ma…