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 ...

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] ≅ ...

Now, research from Northwestern Engineering’s Vadim Backman reveals a second “language” of life: the “geometric code” embedded in the genome’s physical shape. Like a blueprint for making living ...

Conference Quasiweekend III - Twenty years on collects together experts, from all fields of mathematics, using quasiconformal methods, especially in complex dynamics, geometric function theory, ...

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 ...