24 citations · 143 across the 23 of their papers we have counts for
4 papers · 1 filter
The cycle structure of a Markoff automorphism over finite fields
Alois Cerbu, Elijah Gunther, Michael Magee +1
We begin an investigation of the action of pseudo-Anosov elements of on the Markoff-type varieties \[ \mathbb{X}_κ:\:x^{2}+y^{2}+z^{2}=xyz+2+κ\] over…
On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials
Michael Magee
J.-C. Yoccoz proposed a natural extension of Selberg's Eigenvalue Conjecture to moduli spaces of abelian differentials. We prove an approximation to this conjecture. This gives a q…
An asymptotic formula for integer points on Markoff-Hurwitz varieties
Alex Gamburd, Michael Magee, Ryan Ronan
We establish an asymptotic formula for the number of integer solutions to the Markoff-Hurwitz equation \[ x_{1}^{2}+x_{2}^{2}+\ldots+x_{n}^{2}=ax_{1}x_{2}\ldots x_{n}+k. \] When $n…
Uniform congruence counting for Schottky semigroups in
Michael Magee, Hee Oh, Dale Winter
Let be a Schottky semigroup in , and for , let $Γ(q):=\{γ\in Γ: γ= e \text{ (mod $q$)}\}$ be its congruence subsemigroup of level …