Advisory Committee Chair
Nandor Simanyi
Advisory Committee Members
Nikolai Chernov
S S Ravindran
Alan Sprague
Min Sun
Document Type
Dissertation
Date of Award
2007
Degree Name by School
Doctor of Philosophy (PhD) College of Arts and Sciences
Abstract
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.
Recommended Citation
Goswick, Lee Michael, "On The Dynamical, Geometric, And Arithmetic Properties Of Euclidean Lattices" (2007). All ETDs from UAB. 3707.
https://digitalcommons.library.uab.edu/etd-collection/3707