41 citations · 274 across the 53 of their papers we have counts for
12 papers · 1 filter
Uniform congruence counting for Schottky semigroups in
Michael Magee, Hee Oh, Dale Winter
Let be a Schottky semigroup in , and for , let $Γ(q):=\{γ\in Γ: γ= e \text{ (mod $q$)}\}$ be its congruence subsemigroup of level …
Expanding maps and continued fractions
Michael Magee, Hee Oh, Dale Winter
We obtain a power saving in the error term for a semigroup congruence lattice point count related to continued fractions. This is done by adapting arguments from recent work of Oh…
Harmonic analysis, Ergodic theory and Counting for thin groups
Hee Oh
For a geometrically finite group Gamma of G=SO(n,1), we survey recent developments on counting and equidistribution problems for orbits of Gamma in a homogeneous space H\G where H…
Matrix coefficients, Counting and Primes for orbits of geometrically finite groups
Amir Mohammadi, Hee Oh
Let G:=SO(n,1)^\circ and Γbe a geometrically finite Zariski dense subgroup with critical exponent delta bigger than (n-1)/2. Under a spectral gap hypothesis on L^2(Γ\ G), which is…
Limits of translates of divergent geodesics and Integral points on one-sheeted hyperboloids
Hee Oh, Nimish Shah
For any non-uniform lattice in , we describe the limit distribution of orthogonal translates of a divergent geodesic in . As an application, for a…
Almost prime Pythagorean triples in thin orbits
Alex Kontorovich, Hee Oh
For the ternary quadratic form Q(x) = x^2 + y^2 - z^2 and a non-zero Pythagorean triple x_0 in Z^3 lying on the cone Q(x) = 0, we consider an orbit O = x_0 Gamma of a finitely gene…