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 ...
In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...
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 ...
It is usual that existing material on computer aided geometric design oscillates between over-simplification for programmers and practitioners and over formalism for scientific or academic readers.
Researchers at Freie Universität Berlin reveal the mathematics behind mesmerizing patterns / New study links the beauty of ...
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] ≅ ...