|Outputs of the program|
|Explicit spectral gap for Schottky subgroups of SL_2(Z)
(With Irving Calderón)|
|Strongly convergent unitary representations of limit groups.
Michael Magee and Lars Louder |
Preprint, contains an appendix by Will Hide and Michael Magee
|Short geodesics and small eigenvalues on random hyperbolic punctured spheres.
Will Hide and Joe Thomas
| Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.
Michael Magee and Joe Thomas
|Extension of Alon's and Friedman's conjectures to Schottky surfaces.
Michael Magee and Frédéric Naud
|Random Unitary Representations of Surface Groups II: The large n limit.
|The asymptotic statistics of random covering surfaces.
(With Doron Puder)
Forum of Mathematics, Pi, to appear.
|Near optimal spectral gaps for hyperbolic surfaces.
(With Will Hide)
Annals of Mathematics, to appear. [One hour talk] [Quanta article]
|A random cover of a compact hyperbolic surface has relative
spectral gap 3/16 - ϵ.
Michael Magee, Frédéric Naud, and
Geometric and Functional Analysis (GAFA), 2022.
Michael Magee and Doron Puder
Geometriae Dedicata, 2022.
|Random Unitary Representations of Surface Groups I: Asymptotic expansions.
Communications in Mathematical Physics, 2022.