Luke Jeffreys

activity

20212025

collaborators

4 papers

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…

math.NT2024

On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set

Harold Erazo, Luke Jeffreys, Carlos Gustavo Moreira

Let $L$ and $M$ denote the classical Lagrange and Markov spectra, respectively. It is known that $L \subset M$ and that $M ∖ L \neq = \emptyset$ . Inspired by three questions as…

math.NT2022

New gaps on the Lagrange and Markov spectra

Luke Jeffreys, Carlos Matheus, Carlos Gustavo Moreira

Let $L$ and $M$ denote the Lagrange and Markov spectra, respectively. It is known that $L \subset M$ and that $M ∖ L \neq = \emptyset$ . In this work, we exhibit new gaps of $L$ …

math.GT2021

Non-planarity of $SL (2, Z)$ -orbits of origamis in $H (2)$

Luke Jeffreys, Carlos Matheus

We consider the $SL (2, Z)$ -orbits of primitive $n$ -squared origamis in the stratum $H (2)$ . In particular, we consider the 4-valent graphs obtained from the…

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

On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set

New gaps on the Lagrange and Markov spectra

Non-planarity of SL(2,Z)-orbits of origamis in H(2)

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

Non-planarity of $SL (2, Z)$ -orbits of origamis in $H (2)$