All ETDs from UAB

Advisory Committee Chair

Nandor Simanyi

Advisory Committee Members

Nikolai Chernov

S S Ravindran

Alan Sprague

Min Sun

Document Type


Date of Award


Degree Name by School

Doctor of Philosophy (PhD) College of Arts and Sciences


This dissertation consists of three papers concerning certain aspects of Euclidean lattices. The first two examine dynamical properties of 2D billiards in the lattices Z2 and Z2 ∪(1/2, 1/2) + Z2. The third explores arithmetic and geometric properties of Z3 by exploiting the algebraic structure of the quaternions and the Gaussian integers.



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