Browsing by Thesis Department "Mathematics"
Now showing items 114 of 14

Asymptotic properties of deep water solitary waves with compactly supported vorticity
(University of MissouriColumbia, 2018)In this thesis, we consider two and threedimensional gravity and capillarygravity solitary waves propagating along the surface of a body of water with infinite depth.The waves are acted upon by gravity and we allow the ... 
Cohomology of Finite Modules over Short Gorenstein Rings
(2016)We study two formal power series in the indeterminate t that generalize the Poincar´e series of a module. In the context of a Gorenstein local ring whose maximal ideal m satisﬁes m³ = 0, we prove that these two power ... 
Effective numerical methods to model dynamic behavior of springs with torsion
(University of MissouriColumbia, 2018)The purpose of this thesis is to find effective algorithms to numerically solve certain systems of differential equations that arise from standard Newtonian mechanics. Numerical models of elastica has already been well ... 
The Effects of Math Recovery on the LowPerforming Mathematics Student
(2012)This study examined the effectiveness of the course, Math Recovery, on a group of ninthgrade students enrolled in the course Algebra/Geometry I measured by course grades and subsequent tenthgrade MAP scores. In addition, ... 
Frames and subspaces
(University of MissouriColumbia, 2018) 
Generalized Koszul Properties of Commutative Local Rings
(2014)We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers ... 
Generalized littlewoodrichardson coefficients for branching rules of GL(n) and extremal weight crystals
(University of MissouriColumbia, 2018)This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized LittlewoodRichardson coefficients. These are sums of products of single LittlewoodRichardson coefficients, ... 
Generating sequences and semigroups of valuations on 2 dimensional normal local rings
(University of MissouriColumbia, 2018)In this thesis we develop a method for constructing generating sequences for valuations dominating the ring of a two dimensional quotient singularity. Suppose that K is an algebraically closed field of characteristic zero, ... 
On hydrodynamic equations and their relation to kinetic theory and statistical mechanics
(University of MissouriColumbia, 2017)We establish conditions on the Hamiltonian evolution of interacting molecules that imply hydrodynamic equations at the limit of infinitely many molecules and show that these conditions are satisfied whenever the solutions ... 
On the Euler characteristics of certain moduli spaces of 1dimensional subschemes
(University of MissouriColumbia, 2017)Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1dimensional closed subschemes when the ambient smooth projective ... 
On the global GanGrossPrasad conjecture for general spin groups
(University of MissouriColumbia, 2018)In the 1990s, Benedict Gross and Dipendra Prasad formulated an intriguing conjecture connected with restriction laws for automorphic representations of a particular group. More recently, Gan, Gross, and Prasad extended ... 
Persistent homology : categorical structural theorem and stability through representations of quivers
(University of MissouriColumbia, 2018)The purpose of this thesis is to advance the study and application of the field of persistent homology through both categorical and quiver theoretic viewpoints. While persistent homology has its roots in these topics, there ... 
Radiation conditions and integral representations for Clifford algebravalued null solutions of the iterated perturbed Dirac operator
(University of MissouriColumbia, 2017)In 1912 Arnold Sommerfeld introduced a special decay condition at infinity to address uniqueness issues for certain boundary value problems involving the Helmholtz operator in an exterior domain. Examples of such boundary ... 
Sequences of rank1 projections and Gabor tight fusion frames
(University of MissouriColumbia, 2017)This dissertation provides new results in two areas. The first part concerns the particular properties that are inherited by a sequence of rank1 projections from the inducing sequence of unitnorm vectors. The second part ...