The Geodesic Geometry of Arithmetic Orbifolds
Abstract
In this thesis, we prove several results concerning the geodesic geometry of arithmetic orbifolds. These results come in three flavors: 1) quantitative results on the failure of length spectral rigidity for a certain class of arithmetic lattices 2) constructions of pairs of non-commensurable arithmetic manifolds with locally isomorphic lattices and 3) a prime geodesic theorem on arithmetic progressions in the primitive length spectrum.
Degree
Ph.D.
Advisors
McReynolds, Purdue University.
Subject Area
Mathematics
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