Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...

We study questions related to critical points of the Green's function of a bounded multiply connected domain in the complex plane. The motion of critical points, their limiting positions as the pole ...

The "quasiworld" describes the confluence of the research fields, where quasiconformal maps and methods play a central role. This includes portions of complex dynamics, geometric function theory, ...

Given a complex quasiprojective curve B and a nonisotrivial family ε of elliptic curves over B, the p-torsion ε[p] yields a monodromy representation ρε[p] : π₁(B) → GL₂(𝔽P ). We prove that if ρε[p] ≅ ...