Outputs of the program [updated Feb 2024] | ||
---|---|---|
\( \mathrm{SL}_4(\mathbf{Z}) \) is not purely matricial field.
Michael Magee and Mikael de la Salle
Comptes Rendus MathÃ©matique, to appear. | ||
Strongly convergent unitary representations of right-angled Artin groups.
Michael Magee and Joe Thomas
Preprint | ||
Projection formulas and a refinement of Schur-Weyl-Jones duality for symmetric groups.
Ewan Cassidy
Preprint |
||
Explicit spectral gap for Schottky subgroups of \( \mathrm{SL}_2(\mathbf{Z}) \).
Michael Magee and Irving Calderón
Journal of the European Mathematical Society, to appear. | ||
Strongly convergent unitary representations of limit groups.
Michael Magee and Lars Louder Preprint, contains an appendix by Will Hide and Michael Magee | ||
Large-n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces.
Will Hide and Joe Thomas
Preprint |
||
Short geodesics and small eigenvalues on random hyperbolic punctured spheres.
Will Hide and Joe Thomas
Commentarii Mathematici Helvetici, to appear. |
||
Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.
Michael Magee, Joe Thomas, and Yufei Zhao Communications in Mathematical Physics, 2023. |
||
Extension of Alon's and Friedman's conjectures to Schottky surfaces.
Michael Magee and Frédéric Naud
Preprint |
||
The asymptotic statistics of random covering surfaces.
Michael Magee and Doron Puder
Forum of Mathematics, Pi, 2023. |
||
Near optimal spectral gaps for hyperbolic surfaces.
Michael Magee and Will Hide
Annals of Mathematics, 2023. [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 II: The large n limit.
Michael Magee
Geometry and Topology, to appear. |
||
Random Unitary Representations of Surface Groups I: Asymptotic expansions.
Michael Magee
Communications in Mathematical Physics, 2022. |