Browsing by Thesis Department "Mathematics"
Now showing items 112 of 12

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 ... 
The Dirichlet problem for elliptic and degenerate elliptic equations, and related results
(University of MissouriColumbia, 2016)In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semigroups and their gradients, and then we get Lp bounds for ... 
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, ... 
A foliated SeibergWitten theory
(University of MissouriColumbia, 2016)This dissertation set out to investigate a generalization of SeibergWitten theory from fourdimensional manifolds to fourcodimensional Riemannian foliations. SeibergWitten theory was originally born out of the String ... 
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 ... 
GITequivalence and semistable subcategories of quiver representations
(University of MissouriColumbia, 2016)The main investigation in this thesis is to determine when two weights give rise to the same semistable subcategory in the case of representations of quivers. This question was answered via explicit construction by Ingalls, ... 
Inertial Chow rings and a new asymptotic product
(University of MissouriColumbia, 2016) 
Maximal Fourier integrals and multilinear multiplier operators
(University of MissouriColumbia, 2016) 
Some results in convex geometry
(University of MissouriColumbia, 2016)This thesis is divided into four parts. The first part is about proving that the unit ball of the Lorentz space is not an intersection body for dimension greater than or equal to 5 and q > 2. We go on to explain the ... 
Stability of planar fronts for a class of reaction diffusion systems
(University of MissouriColumbia, 2016)The purpose of this thesis is to study stability of onedimensional traveling waves and multidimensional planar fronts as well as spaceindependent steady states for a class of reaction diffusion systems that arise in ... 
Subsequences of frames and their operators
(University of MissouriColumbia, 2016) 
Weak Hardy spaces and paraproducts
(University of MissouriColumbia, 2016)The purpose of this dissertation is to provide a new square function characterization of weak Hardy spaces in the full range of exponents possible and use this characterization in applications on endpoint estimates for ...