Christopher Lutsko

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math.SP2026

Improved sup-norm bounds for locally symmetric spaces

Christopher Lutsko

Let $X = G / K$ be a symmetric space of noncompact type, of dimension $n$ and rank $r$ , and let $Y = Γ\ X$ . Sarnak's local bound for an $L^{2}$ -normalized spherical joint eigenfun…

math.SP2026

Exceptional eigenvalue density for thin groups

Christopher Lutsko

We prove a limit multiplicity conjecture of Hee Oh for principal congruence covers of geometrically finite hyperbolic manifolds, with an explicit power-saving rate. The rate is gov…