3 papers
math.NT2025
Counting Salem numbers arising from arithmetic hyperbolic orbifolds
Michelle Chu, Plinio G. P. Murillo, Otto Romero +1
The relationship between Salem numbers and short geodesics has been fruitful in quantitative studies of arithmetic hyperbolic orbifolds, particularly in dimensions 2 and 3. In this…
math.GT2025
Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
Michelle Chu, Plinio G. P. Murillo
In this article we show that given a Salem number , a totally real number field , and a positive integer , there exist…
math.GT2024
Mixed-platonic 3-manifolds
Eric Chesebro, Michelle Chu, Jason DeBlois +3
We introduce a class of cusped hyperbolic -manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain pr…