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math.GT2026
Stratification and realization of singularity data on the Loch Ness monster
Nate Fisher, Camilo Ramírez Maluendas
The classical theory of compact translation surfaces is organized through the stratification of moduli spaces according to the orders of the zeros of the associated Abelian differe…
math.GT2017
On the Infinite Loch Ness monster
John A. Arredondo, Camilo Ramírez Maluendas
In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact…
math.GT2016
Veech groups of infinite genus surfaces
Camilo Ramirez Maluendas, Ferran Valdez
We show that every countable subgroup without contracting elements is the Veech group of a tame translation surface of infinite genus, for infinitely…