• Elliptic curves and their applications in cryptography 

    Pemberton, Michael Paul, 1983- (University of Missouri--Columbia, 2009)
    In 1985, Koblitz and Miller proposed elliptic curves to be used for public key cryptosystems. This present thesis examines the role of elliptic curves on cryptography and basic problems involving implementation and security ...
  • Erdős distance problem in the hyperbolic half-plane 

    Senger, Steven, 1982- (University of Missouri--Columbia, 2009)
    The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ...
  • Existence and construction of real-valued equiangular tight frames 

    Redmond, Daniel Joseph (University of Missouri--Columbia, 2009)
    This paper presents results on real-valued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ...
  • A free boundary gas dynamic model as a two-body field theory problem 

    Heitzman, Michael Thomas (University of Missouri--Columbia, 2009)
    Motivated by the two-body problem in the classical field theories of electrodynamics and gravitation, in which finite propagation speeds lead to radiation reaction and runaway solutions, we develop a free boundary problem ...
  • Mathematical problems from cryobiology 

    Benson, James Dale (University of Missouri--Columbia, 2009)
    Cryobiology is the study of life and death at low temperatures and provides a fascinating setting for applied mathematics. The interdisciplinary nature of cryobiology mirrors the diversity of ...
  • A priori estimates for solutions of elliptic partial differential equations on surfaces 

    Steenblock, Heidi, 1984- (University of Missouri--Columbia, 2009)
    Let S be an (n-1)-dimensional bounded surface of class C² in R[real number] [superscript n] and let [set theory][subscript s] be the Laplace-Beltrami operator on S. In this thesis, under suitable geometric assumptions, we ...