2 papers
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.MG2024
A metric boundary theory for Carnot groups
Nate Fisher
In this paper, we study characteristics of horofunction boundaries of Carnot groups. In particular, we show that for Carnot groups, i.e., stratified nilpotent Lie groups equipped w…