Carlos Matheus

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math.GT2026

Euler characteristics of $S L (2, Z)$ -orbit graphs of origamis

Luke Jeffreys, Carlos Matheus

The $S L (2, Z)$ -orbits of primitive $n$ -squared origamis can be represented by finite four-regular graphs. It is a conjecture of McMullen that the orbit graphs of such origa…

math.GT2025

Diameter bounds for $S L (2, Z)$ -orbits of origamis in $H (2)$ and the Prym loci in $H (4)$ and $H (6)$

Luke Jeffreys, Carlos Matheus

Using algorithms implicit in the classification of $S L (2, Z)$ -orbits of primitive origamis in the stratum $H (2)$ due to Hubert-Lelièvre and McMullen, we give diam…

Euler characteristics of SL(2,Z)-orbit graphs of origamis

Diameter bounds for SL(2,Z)-orbits of origamis in H(2) and the Prym loci in H(4) and H(6)

Euler characteristics of $S L (2, Z)$ -orbit graphs of origamis

Diameter bounds for $S L (2, Z)$ -orbits of origamis in $H (2)$ and the Prym loci in $H (4)$ and $H (6)$