Christopher Lutsko

activity

20192026

most citedHyperbolic lattice point counting in unbounded rank

1 citations · 1 across the 9 of their papers we have counts for

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math.NT2024

Average variance bounds for integer points on the sphere

Christopher Lutsko

Let $E (n)$ denote the set of integer points on the sphere $∣ x ∣^{2} = n$ , projected radially onto the unit sphere. Under the usual congruence conditions on $…

math.RT2024

Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Christopher Lutsko, Tobias Weich, Lasse L. Wolf

Given a real semisimple connected Lie group $G$ and a discrete subgroup $Γ < G$ we prove a precise connection between growth rates of the group $Γ$ , polyhedral bounds on the joint s…

math.NT2024

Lax-Phillips orbit counting in higher rank

Alex Kontorovich, Christopher Lutsko

Given a discrete lattice, $Γ < SL_{m} (R)$ , and a base point $o \in R^{m}$ , let $N_{Γ} (T)$ denote the number of points in the orbit $o \cdot Γ$ whose (Eucl…