Michael Magee

activity

20182021

most citedExtension of Alon's and Friedman's conjectures to Schottky surfaces

4 citations · 4 across the 1 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

Kesten-McKay law for the Markoff surface mod p

Matthew de Courcy-Ireland, Michael Magee

For each prime $p$ , we study the eigenvalues of a 3-regular graph on roughly $p^{2}$ vertices constructed from the Markoff surface. We show they asymptotically follow the Kesten-McKa…

math.DS2018

Counting saddle connections in a homology class modulo $q$

Michael Magee, Rene Rühr, Rodolfo Gutiérrez-Romo

We give effective estimates for the number of saddle connections on a translation surface that have length $\leq L$ and are in a prescribed homology class modulo $q$ . Our estimates…

math.GT2018

Matrix Group Integrals, Surfaces, and Mapping Class Groups I: $U (n)$

Michael Magee, Doron Puder

Since the 1970's, physicists and mathematicians who study random matrices in the GUE or GOE models are aware of intriguing connections between integrals of such random matrices and…

Kesten-McKay law for the Markoff surface mod p

Counting saddle connections in a homology class modulo q

Matrix Group Integrals, Surfaces, and Mapping Class Groups I: U(n)

Counting saddle connections in a homology class modulo $q$

Matrix Group Integrals, Surfaces, and Mapping Class Groups I: $U (n)$