Outputs of the program | ||
---|---|---|
Explicit spectral gap for Schottky subgroups of SL_2(Z)
(With Irving Calderón) Preprint | ||
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
Preprint |
||
Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.
Michael Magee and Joe Thomas Preprint |
||
Extension of Alon's and Friedman's conjectures to Schottky surfaces.
Michael Magee and Frédéric Naud
Preprint |
||
Random Unitary Representations of Surface Groups II: The large n limit.
Michael Magee
Preprint |
||
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
Doron Puder
Geometric and Functional Analysis (GAFA), 2022. |
||
Core surfaces.
Michael Magee and Doron Puder
Geometriae Dedicata, 2022. |
||
Random Unitary Representations of Surface Groups I: Asymptotic expansions.
Michael Magee
Communications in Mathematical Physics, 2022. |