54 citations · 202 across the 34 of their papers we have counts for
46 papers
Arithmetic Polyhedra
Daniel Allcock, Pat Devlin, Anna Felikson +2
The Koebe-Andreev-Thurston theorem assigns a 3-dimensional hyperbolic reflection group to each combinatorial polyhedron. A natural question is: which of them are arithmetic? In 201…
Remarks on the Dijkgraaf-Witten invariants of 3D mapping tori
William Chen, Alex Kontorovich, Shehryar Sikander
We make some remarks on the Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of genu…
Norm bounds on Eisenstein series
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
We study the sup-norm and mean-square-norm problems for Eisenstein series on certain arithmetic hyperbolic orbifolds, producing sharp exponents for the modular surface and Picard 3…
Sarnak's spectral gap question
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
We answer in the affirmative a question of Sarnak's from 2007, confirming that the Patterson-Sullivan base eigenfunction is the unique square-integrable eigenfunction of the hyperb…
Effective counting in sphere packings
Alex Kontorovich, Christopher Lutsko
Given a Zariski-dense, discrete group, , of isometries acting on -dimensional hyperbolic space, we use spectral methods to obtain a sharp asymptotic formula for the gro…
Kleinian sphere packings, reflection groups, and arithmeticity
Nikolay Bogachev, Alexander Kolpakov, Alex Kontorovich
In this paper we study crystallographic sphere packings and Kleinian sphere packings, introduced first by Kontorovich and Nakamura in 2017 and then studied further by Kapovich and…