M. Bonk

activity

20242026

collaborators

3 papers

math.CV2026

Quasi-visual approximations

Mario Bonk, Mikhail Hlushchanka, Daniel Meyer

We develop the foundations of the theory of quasi-visual approximations of bounded metric spaces. Roughly speaking, these are sequences of covers of a given space for which the dia…

math.CV2025

Conformal maps and critical points of Eisenstein series

Mario Bonk

We investigate the critical points of the basic (quasi-)modular forms $E_{2}$ , $E_{4}$ , and $E_{6}$ . They occur where some associated polymorphic functions have poles. By an explicit des…

math.DS2024

Thurston's pullback map, invariant covers, and the global dynamics on curves

Mario Bonk, Mikhail Hlushchanka, Russell Lodge

We consider rational maps $f$ on the Riemann sphere $C$ with an $f$ -invariant set $P \subset C$ of four marked points containing the postcrit…